﻿ Goldbach conjecture data 6 to 1000, tute0067 Goldbach conjecture data 6 to 1000 tute0067
warning: run prime_summet[3]1000 may freeze computer
update 2017-03-26

```<a name=tute0067_index> primedraw Image List
■■　Goldbach conjecture 22=11+11=17+5=19+3
■■　integer 6 to 1000 list
■■　even=PrimeA+PrimeB list ; 90=67+23 Goldbach HEART
■■　even Meet Prime ; 20: 3,7,13,17,
■■　Prime Meet Even ; 991: 994,996,998
■■　Prime 012 list ; 967: 111011011010011
■■　http://freeman2.com/gevn5000.jpg even upto 5000
■■　http://freeman2.com/gint2000.jpg integerTo 2000
■■　gint2000.jpg horizontal stripe explained
■■　How to match Box09 prime gap with Box44 prime gap
■■　primeA = even - primeB color match
■■　primeA=3,5,7,11 add three, first even 6,8,10,14
■■　warning: run prime_summet[3]1000 may freeze computer
■■　prime=6*n+1 or p=6*n-1 , gevmpri0.jpg , gevmpri1.jpg

below 22=11+11=17+5=19+3 ; NOT 22=2*11

German mathematician C. Goldbach (1690~1764) in his
letter addressed to Swiss mathematician L. Euler
(1707~1783), Goldbach wrote:
Proposition (A) Every even integer ( ≥ 6 ) is the
sum of two odd primes;
Proposition (B) Every odd integer ( ≥ 9 ) is the
sum of three odd primes.
They were called Goldbach conjecture.
2016-06-19-09-47 Liu,Hsinhan access and 2016-06-25-15-55 copied
https://arxiv.org/ftp/math/papers/0309/0309103.pdf

<a name="docA002">
2016-07-18-10-30 start
This file http://freeman2.com/tute0067.htm
title is Goldbach conjecture data 6 to 1000
Next is input data from 6 to 1000. Reader
can copy input data and paste to
http://freeman2.com/prime_e1.htm
Box10 to reproduce even=PrimeA+PrimeB list
Example 90=67+23
See tute0067.htm#evenPrimeAPrimeB

<a name="docA003">
You can also copy input data and paste to
http://freeman2.com/prime_e1.htm
Box41 and click  to get more data.
They already present in this file tute0067.htm .
Re-do produce data, reader make sure the data
source and it is possible to get more data,
for example, if reader want study 6 to 5000.
2016-07-18-10-42

<a name="docA004">
6,8,10,12,14,16,18,20,22,24,26,28,30,32,
34,36,38,40,42,44,46,48,50,52,54,56,58,
60,62,64,66,68,70,72,74,76,78,80,82,84,
86,88,90,92,94,96,98,100,102,104,106,108,
110,112,114,116,118,120,122,124,126,128,
130,132,134,136,138,140,142,144,146,148,
150,152,154,156,158,160,162,164,166,168,
170,172,174,176,178,180,182,184,186,188,
190,192,194,196,198,200,202,204,206,208,
210,212,214,216,218,220,222,224,226,228,
230,232,234,236,238,240,242,244,246,248,
250,252,254,256,258,260,262,264,266,268,
270,272,274,276,278,280,282,284,286,288,
290,292,294,296,298,300,302,304,306,308,
310,312,314,316,318,320,322,324,326,328,
330,332,334,336,338,340,342,344,346,348,
350,352,354,356,358,360,362,364,366,368,
370,372,374,376,378,380,382,384,386,388,
390,392,394,396,398,400,402,404,406,408,
410,412,414,416,418,420,422,424,426,428,
430,432,434,436,438,440,442,444,446,448,
450,452,454,456,458,460,462,464,466,468,
470,472,474,476,478,480,482,484,486,488,
490,492,494,496,498,500,502,504,506,508,
510,512,514,516,518,520,522,524,526,528,
530,532,534,536,538,540,542,544,546,548,
550,552,554,556,558,560,562,564,566,568,
570,572,574,576,578,580,582,584,586,588,
590,592,594,596,598,600,602,604,606,608,
610,612,614,616,618,620,622,624,626,628,
630,632,634,636,638,640,642,644,646,648,
650,652,654,656,658,660,662,664,666,668,
670,672,674,676,678,680,682,684,686,688,
690,692,694,696,698,700,702,704,706,708,
710,712,714,716,718,720,722,724,726,728,
730,732,734,736,738,740,742,744,746,748,
750,752,754,756,758,760,762,764,766,768,
770,772,774,776,778,780,782,784,786,788,
790,792,794,796,798,800,802,804,806,808,
810,812,814,816,818,820,822,824,826,828,
830,832,834,836,838,840,842,844,846,848,
850,852,854,856,858,860,862,864,866,868,
870,872,874,876,878,880,882,884,886,888,
890,892,894,896,898,900,902,904,906,908,
910,912,914,916,918,920,922,924,926,928,
930,932,934,936,938,940,942,944,946,948,
950,952,954,956,958,960,962,964,966,968,
970,972,974,976,978,980,982,984,986,988,
990,992,994,996,998,1000,

<a name="docA005">
2016-07-18-11-00 start
Next list is even=PrimeA+PrimeB
Start from 6 to 1000. Each even can find PrimeA
and PrimeB. Two primes sum to even integer. This
is the heart of Goldbach conjecture
Every even integer ( ≥ 6 ) is the sum of two
odd primes. The conjecture about odd number
Every odd integer ( ≥ 9 ) is the sum of three
odd primes. It is same as even integer conjecture
Because in "sum of three odd primes" we can assign
one odd prime to be 3. Odd integer subtract 3 get
an even. Even is the sum of two odd primes. Odd
problem is same as even problem, except pile up
high count of prime 3.
This file tute0067.htm consider even integer only.

<a name="docA006">
In
http://freeman2.com/prime_e1.htm
goto Box10, paste above 6 to 1000 list to Box10.
Click  output to Box11 the following
Goldbach conjecture heart formula.
Please verify if list is correct? if missing any?
Thank you. Liu,Hsinhan 2016-07-18-11-20 stop

Following list insist PrimeA>=PrimeB. If PrimeA<PrimeB
this even number's prime decomposition work stopped.

//[prime sum random] see Goldbach conjecture. a506251810
6=3+3

8=5+3

10=7+3
10=5+5

12=7+5

14=11+3
14=7+7

16=13+3
16=11+5

18=13+5
18=11+7

20=17+3
20=13+7

22=19+3
22=17+5
22=11+11

24=19+5
24=17+7
24=13+11

26=23+3
26=19+7
26=13+13

28=23+5
28=17+11

30=23+7
30=19+11
30=17+13

32=29+3
32=19+13

34=31+3
34=29+5
34=23+11
34=17+17

36=31+5
36=29+7
36=23+13
36=19+17

38=31+7
38=19+19

40=37+3
40=29+11
40=23+17

42=37+5
42=31+11
42=29+13
42=23+19

44=41+3
44=37+7
44=31+13

46=43+3
46=41+5
46=29+17
46=23+23

48=43+5
48=41+7
48=37+11
48=31+17
48=29+19

50=47+3
50=43+7
50=37+13
50=31+19

52=47+5
52=41+11
52=29+23

54=47+7
54=43+11
54=41+13
54=37+17
54=31+23

56=53+3
56=43+13
56=37+19

58=53+5
58=47+11
58=41+17
58=29+29

60=53+7
60=47+13
60=43+17
60=41+19
60=37+23
60=31+29

62=59+3
62=43+19
62=31+31

64=61+3
64=59+5
64=53+11
64=47+17
64=41+23

66=61+5
66=59+7
66=53+13
66=47+19
66=43+23
66=37+29

68=61+7
68=37+31

70=67+3
70=59+11
70=53+17
70=47+23
70=41+29

72=67+5
72=61+11
72=59+13
72=53+19
72=43+29
72=41+31

74=71+3
74=67+7
74=61+13
74=43+31
74=37+37

76=73+3
76=71+5
76=59+17
76=53+23
76=47+29

78=73+5
78=71+7
78=67+11
78=61+17
78=59+19
78=47+31
78=41+37

80=73+7
80=67+13
80=61+19
80=43+37

82=79+3
82=71+11
82=59+23
82=53+29
82=41+41

84=79+5
84=73+11
84=71+13
84=67+17
84=61+23
84=53+31
84=47+37
84=43+41

86=83+3
86=79+7
86=73+13
86=67+19
86=43+43

88=83+5
88=71+17
88=59+29
88=47+41

90=83+7
90=79+11
90=73+17
90=71+19
90=67+23
90=61+29
90=59+31
90=53+37
90=47+43

92=89+3
92=79+13
92=73+19
92=61+31

94=89+5
94=83+11
94=71+23
94=53+41
94=47+47

96=89+7
96=83+13
96=79+17
96=73+23
96=67+29
96=59+37
96=53+43

98=79+19
98=67+31
98=61+37

100=97+3
100=89+11
100=83+17
100=71+29
100=59+41
100=53+47

102=97+5
102=89+13
102=83+19
102=79+23
102=73+29
102=71+31
102=61+41
102=59+43

104=101+3
104=97+7
104=73+31
104=67+37
104=61+43

106=103+3
106=101+5
106=89+17
106=83+23
106=59+47
106=53+53

108=103+5
108=101+7
108=97+11
108=89+19
108=79+29
108=71+37
108=67+41
108=61+47

110=107+3
110=103+7
110=97+13
110=79+31
110=73+37
110=67+43

112=109+3
112=107+5
112=101+11
112=89+23
112=83+29
112=71+41
112=59+53

114=109+5
114=107+7
114=103+11
114=101+13
114=97+17
114=83+31
114=73+41
114=71+43
114=67+47
114=61+53

116=113+3
116=109+7
116=103+13
116=97+19
116=79+37
116=73+43

118=113+5
118=107+11
118=101+17
118=89+29
118=71+47
118=59+59

120=113+7
120=109+11
120=107+13
120=103+17
120=101+19
120=97+23
120=89+31
120=83+37
120=79+41
120=73+47
120=67+53
120=61+59

122=109+13
122=103+19
122=79+43
122=61+61

124=113+11
124=107+17
124=101+23
124=83+41
124=71+53

126=113+13
126=109+17
126=107+19
126=103+23
126=97+29
126=89+37
126=83+43
126=79+47
126=73+53
126=67+59

128=109+19
128=97+31
128=67+61

130=127+3
130=113+17
130=107+23
130=101+29
130=89+41
130=83+47
130=71+59

132=127+5
132=113+19
132=109+23
132=103+29
132=101+31
132=89+43
132=79+53
132=73+59
132=71+61

134=131+3
134=127+7
134=103+31
134=97+37
134=73+61
134=67+67

136=131+5
136=113+23
136=107+29
136=89+47
136=83+53

138=131+7
138=127+11
138=109+29
138=107+31
138=101+37
138=97+41
138=79+59
138=71+67

140=137+3
140=127+13
140=109+31
140=103+37
140=97+43
140=79+61
140=73+67

142=139+3
142=137+5
142=131+11
142=113+29
142=101+41
142=89+53
142=83+59
142=71+71

144=139+5
144=137+7
144=131+13
144=127+17
144=113+31
144=107+37
144=103+41
144=101+43
144=97+47
144=83+61
144=73+71

146=139+7
146=127+19
146=109+37
146=103+43
146=79+67
146=73+73

148=137+11
148=131+17
148=107+41
148=101+47
148=89+59

150=139+11
150=137+13
150=131+19
150=127+23
150=113+37
150=109+41
150=107+43
150=103+47
150=97+53
150=89+61
150=83+67
150=79+71

152=149+3
152=139+13
152=109+43
152=79+73

154=151+3
154=149+5
154=137+17
154=131+23
154=113+41
154=107+47
154=101+53
154=83+71

156=151+5
156=149+7
156=139+17
156=137+19
156=127+29
156=113+43
156=109+47
156=103+53
156=97+59
156=89+67
156=83+73

158=151+7
158=139+19
158=127+31
158=97+61
158=79+79

160=157+3
160=149+11
160=137+23
160=131+29
160=113+47
160=107+53
160=101+59
160=89+71

162=157+5
162=151+11
162=149+13
162=139+23
162=131+31
162=109+53
162=103+59
162=101+61
162=89+73
162=83+79

164=157+7
164=151+13
164=127+37
164=103+61
164=97+67

166=163+3
166=149+17
166=137+29
166=113+53
166=107+59
166=83+83

168=163+5
168=157+11
168=151+17
168=149+19
168=139+29
168=137+31
168=131+37
168=127+41
168=109+59
168=107+61
168=101+67
168=97+71
168=89+79

170=167+3
170=163+7
170=157+13
170=151+19
170=139+31
170=127+43
170=109+61
170=103+67
170=97+73

172=167+5
172=149+23
172=131+41
172=113+59
172=101+71
172=89+83

174=167+7
174=163+11
174=157+17
174=151+23
174=137+37
174=131+43
174=127+47
174=113+61
174=107+67
174=103+71
174=101+73

176=173+3
176=163+13
176=157+19
176=139+37
176=109+67
176=103+73
176=97+79

178=173+5
178=167+11
178=149+29
178=137+41
178=131+47
178=107+71
178=89+89

180=173+7
180=167+13
180=163+17
180=157+23
180=151+29
180=149+31
180=139+41
180=137+43
180=127+53
180=113+67
180=109+71
180=107+73
180=101+79
180=97+83

182=179+3
182=163+19
182=151+31
182=139+43
182=109+73
182=103+79

184=181+3
184=179+5
184=173+11
184=167+17
184=137+47
184=131+53
184=113+71
184=101+83

186=181+5
186=179+7
186=173+13
186=167+19
186=163+23
186=157+29
186=149+37
186=139+47
186=127+59
186=113+73
186=107+79
186=103+83
186=97+89

188=181+7
188=157+31
188=151+37
188=127+61
188=109+79

190=179+11
190=173+17
190=167+23
190=149+41
190=137+53
190=131+59
190=107+83
190=101+89

192=181+11
192=179+13
192=173+19
192=163+29
192=151+41
192=149+43
192=139+53
192=131+61
192=113+79
192=109+83
192=103+89

194=191+3
194=181+13
194=163+31
194=157+37
194=151+43
194=127+67
194=97+97

196=193+3
196=191+5
196=179+17
196=173+23
196=167+29
196=149+47
196=137+59
196=113+83
196=107+89

198=193+5
198=191+7
198=181+17
198=179+19
198=167+31
198=157+41
198=151+47
198=139+59
198=137+61
198=131+67
198=127+71
198=109+89
198=101+97

200=197+3
200=193+7
200=181+19
200=163+37
200=157+43
200=139+61
200=127+73
200=103+97

202=199+3
202=197+5
202=191+11
202=179+23
202=173+29
202=149+53
202=131+71
202=113+89
202=101+101

204=199+5
204=197+7
204=193+11
204=191+13
204=181+23
204=173+31
204=167+37
204=163+41
204=157+47
204=151+53
204=137+67
204=131+73
204=107+97
204=103+101

206=199+7
206=193+13
206=163+43
206=139+67
206=127+79
206=109+97
206=103+103

208=197+11
208=191+17
208=179+29
208=167+41
208=149+59
208=137+71
208=107+101

210=199+11
210=197+13
210=193+17
210=191+19
210=181+29
210=179+31
210=173+37
210=167+43
210=163+47
210=157+53
210=151+59
210=149+61
210=139+71
210=137+73
210=131+79
210=127+83
210=113+97
210=109+101
210=107+103

212=199+13
212=193+19
212=181+31
212=151+61
212=139+73
212=109+103

214=211+3
214=197+17
214=191+23
214=173+41
214=167+47
214=131+83
214=113+101
214=107+107

216=211+5
216=199+17
216=197+19
216=193+23
216=179+37
216=173+43
216=163+53
216=157+59
216=149+67
216=137+79
216=127+89
216=113+103
216=109+107

218=211+7
218=199+19
218=181+37
218=157+61
218=151+67
218=139+79
218=109+109

220=197+23
220=191+29
220=179+41
220=173+47
220=167+53
220=149+71
220=137+83
220=131+89
220=113+107

222=211+11
222=199+23
222=193+29
222=191+31
222=181+41
222=179+43
222=163+59
222=151+71
222=149+73
222=139+83
222=113+109

224=211+13
224=193+31
224=181+43
224=163+61
224=157+67
224=151+73
224=127+97

226=223+3
226=197+29
226=179+47
226=173+53
226=167+59
226=137+89
226=113+113

228=223+5
228=211+17
228=199+29
228=197+31
228=191+37
228=181+47
228=167+61
228=157+71
228=149+79
228=139+89
228=131+97
228=127+101

230=227+3
230=223+7
230=211+19
230=199+31
230=193+37
230=163+67
230=157+73
230=151+79
230=127+103

232=229+3
232=227+5
232=191+41
232=179+53
232=173+59
232=149+83
232=131+101

234=229+5
234=227+7
234=223+11
234=211+23
234=197+37
234=193+41
234=191+43
234=181+53
234=173+61
234=167+67
234=163+71
234=151+83
234=137+97
234=131+103
234=127+107

236=233+3
236=229+7
236=223+13
236=199+37
236=193+43
236=163+73
236=157+79
236=139+97
236=127+109

238=233+5
238=227+11
238=197+41
238=191+47
238=179+59
238=167+71
238=149+89
238=137+101
238=131+107

240=233+7
240=229+11
240=227+13
240=223+17
240=211+29
240=199+41
240=197+43
240=193+47
240=181+59
240=179+61
240=173+67
240=167+73
240=157+83
240=151+89
240=139+101
240=137+103
240=131+109
240=127+113

242=239+3
242=229+13
242=223+19
242=211+31
242=199+43
242=181+61
242=163+79
242=139+103

244=241+3
244=239+5
244=233+11
244=227+17
244=197+47
244=191+53
244=173+71
244=137+107
244=131+113

246=241+5
246=239+7
246=233+13
246=229+17
246=227+19
246=223+23
246=199+47
246=193+53
246=179+67
246=173+73
246=167+79
246=163+83
246=157+89
246=149+97
246=139+107
246=137+109

248=241+7
248=229+19
248=211+37
248=181+67
248=151+97
248=139+109

250=239+11
250=233+17
250=227+23
250=197+53
250=191+59
250=179+71
250=167+83
250=149+101
250=137+113

252=241+11
252=239+13
252=233+19
252=229+23
252=223+29
252=211+41
252=199+53
252=193+59
252=191+61
252=181+71
252=179+73
252=173+79
252=163+89
252=151+101
252=149+103
252=139+113

254=251+3
254=241+13
254=223+31
254=211+43
254=193+61
254=181+73
254=157+97
254=151+103
254=127+127

256=251+5
256=239+17
256=233+23
256=227+29
256=197+59
256=173+83
256=167+89
256=149+107

258=251+7
258=241+17
258=239+19
258=229+29
258=227+31
258=211+47
258=199+59
258=197+61
258=191+67
258=179+79
258=157+101
258=151+107
258=149+109
258=131+127

260=257+3
260=241+19
260=229+31
260=223+37
260=199+61
260=193+67
260=181+79
260=163+97
260=157+103
260=151+109

262=257+5
262=251+11
262=239+23
262=233+29
262=191+71
262=179+83
262=173+89
262=149+113
262=131+131

264=257+7
264=251+13
264=241+23
264=233+31
264=227+37
264=223+41
264=211+53
264=197+67
264=193+71
264=191+73
264=181+83
264=167+97
264=163+101
264=157+107
264=151+113
264=137+127

266=263+3
266=229+37
266=223+43
266=199+67
266=193+73
266=163+103
266=157+109
266=139+127

268=263+5
268=257+11
268=251+17
268=239+29
268=227+41
268=197+71
268=179+89
268=167+101
268=137+131

270=263+7
270=257+13
270=251+19
270=241+29
270=239+31
270=233+37
270=229+41
270=227+43
270=223+47
270=211+59
270=199+71
270=197+73
270=191+79
270=181+89
270=173+97
270=167+103
270=163+107
270=157+113
270=139+131

272=269+3
272=241+31
272=229+43
272=211+61
272=199+73
272=193+79
272=163+109

274=271+3
274=269+5
274=263+11
274=257+17
274=251+23
274=233+41
274=227+47
274=191+83
274=173+101
274=167+107
274=137+137

276=271+5
276=269+7
276=263+13
276=257+19
276=239+37
276=233+43
276=229+47
276=223+53
276=197+79
276=193+83
276=179+97
276=173+103
276=167+109
276=163+113
276=149+127
276=139+137

278=271+7
278=241+37
278=211+67
278=199+79
278=181+97
278=151+127
278=139+139

280=277+3
280=269+11
280=263+17
280=257+23
280=251+29
280=239+41
280=233+47
280=227+53
280=197+83
280=191+89
280=179+101
280=173+107
280=167+113
280=149+131

282=277+5
282=271+11
282=269+13
282=263+19
282=251+31
282=241+41
282=239+43
282=229+53
282=223+59
282=211+71
282=199+83
282=193+89
282=181+101
282=179+103
282=173+109
282=151+131

284=281+3
284=277+7
284=271+13
284=241+43
284=223+61
284=211+73
284=181+103
284=157+127

286=283+3
286=281+5
286=269+17
286=263+23
286=257+29
286=239+47
286=233+53
286=227+59
286=197+89
286=179+107
286=173+113
286=149+137

288=283+5
288=281+7
288=277+11
288=271+17
288=269+19
288=257+31
288=251+37
288=241+47
288=229+59
288=227+61
288=199+89
288=191+97
288=181+107
288=179+109
288=157+131
288=151+137
288=149+139

290=283+7
290=277+13
290=271+19
290=229+61
290=223+67
290=211+79
290=193+97
290=181+109
290=163+127
290=151+139

292=281+11
292=269+23
292=263+29
292=251+41
292=239+53
292=233+59
292=191+101
292=179+113

294=283+11
294=281+13
294=277+17
294=271+23
294=263+31
294=257+37
294=251+43
294=241+53
294=233+61
294=227+67
294=223+71
294=211+83
294=197+97
294=193+101
294=191+103
294=181+113
294=167+127
294=163+131
294=157+137

296=293+3
296=283+13
296=277+19
296=229+67
296=223+73
296=199+97
296=193+103
296=157+139

298=293+5
298=281+17
298=269+29
298=257+41
298=251+47
298=239+59
298=227+71
298=197+101
298=191+107
298=167+131
298=149+149

300=293+7
300=283+17
300=281+19
300=277+23
300=271+29
300=269+31
300=263+37
300=257+43
300=241+59
300=239+61
300=233+67
300=229+71
300=227+73
300=211+89
300=199+101
300=197+103
300=193+107
300=191+109
300=173+127
300=163+137
300=151+149

302=283+19
302=271+31
302=241+61
302=229+73
302=223+79
302=199+103
302=193+109
302=163+139
302=151+151

304=293+11
304=281+23
304=263+41
304=257+47
304=251+53
304=233+71
304=197+107
304=191+113
304=173+131
304=167+137

306=293+13
306=283+23
306=277+29
306=269+37
306=263+43
306=239+67
306=233+73
306=227+79
306=223+83
306=199+107
306=197+109
306=193+113
306=179+127
306=167+139
306=157+149

308=277+31
308=271+37
308=241+67
308=229+79
308=211+97
308=199+109
308=181+127
308=157+151

310=307+3
310=293+17
310=281+29
310=269+41
310=263+47
310=257+53
310=251+59
310=239+71
310=227+83
310=197+113
310=179+131
310=173+137

312=307+5
312=293+19
312=283+29
312=281+31
312=271+41
312=269+43
312=251+61
312=241+71
312=239+73
312=233+79
312=229+83
312=223+89
312=211+101
312=199+113
312=181+131
312=173+139
312=163+149

314=311+3
314=307+7
314=283+31
314=277+37
314=271+43
314=241+73
314=211+103
314=163+151
314=157+157

316=313+3
316=311+5
316=293+23
316=269+47
316=263+53
316=257+59
316=233+83
316=227+89
316=179+137
316=167+149

318=313+5
318=311+7
318=307+11
318=281+37
318=277+41
318=271+47
318=257+61
318=251+67
318=239+79
318=229+89
318=211+107
318=191+127
318=181+137
318=179+139
318=167+151

320=317+3
320=313+7
320=307+13
320=283+37
320=277+43
320=241+79
320=223+97
320=211+109
320=193+127
320=181+139
320=163+157

322=317+5
322=311+11
322=293+29
322=281+41
322=269+53
322=263+59
322=251+71
322=239+83
322=233+89
322=191+131
322=173+149

324=317+7
324=313+11
324=311+13
324=307+17
324=293+31
324=283+41
324=281+43
324=277+47
324=271+53
324=263+61
324=257+67
324=251+73
324=241+83
324=227+97
324=223+101
324=211+113
324=197+127
324=193+131
324=173+151
324=167+157

326=313+13
326=307+19
326=283+43
326=229+97
326=223+103
326=199+127
326=163+163

328=317+11
328=311+17
328=281+47
328=269+59
328=257+71
328=239+89
328=227+101
328=197+131
328=191+137
328=179+149

330=317+13
330=313+17
330=311+19
330=307+23
330=293+37
330=283+47
330=277+53
330=271+59
330=269+61
330=263+67
330=257+73
330=251+79
330=241+89
330=233+97
330=229+101
330=227+103
330=223+107
330=199+131
330=193+137
330=191+139
330=181+149
330=179+151
330=173+157
330=167+163

332=313+19
332=271+61
332=229+103
332=223+109
332=193+139
332=181+151

334=331+3
334=317+17
334=311+23
334=293+41
334=281+53
334=263+71
334=251+83
334=233+101
334=227+107
334=197+137
334=167+167

336=331+5
336=317+19
336=313+23
336=307+29
336=293+43
336=283+53
336=277+59
336=269+67
336=263+73
336=257+79
336=239+97
336=233+103
336=229+107
336=227+109
336=223+113
336=199+137
336=197+139
336=179+157
336=173+163

338=331+7
338=307+31
338=277+61
338=271+67
338=241+97
338=229+109
338=211+127
338=199+139
338=181+157

340=337+3
340=317+23
340=311+29
340=293+47
340=281+59
340=269+71
340=257+83
340=251+89
340=239+101
340=233+107
340=227+113
340=191+149
340=173+167

342=337+5
342=331+11
342=313+29
342=311+31
342=283+59
342=281+61
342=271+71
342=269+73
342=263+79
342=241+101
342=239+103
342=233+109
342=229+113
342=211+131
342=193+149
342=191+151
342=179+163

344=337+7
344=331+13
344=313+31
344=307+37
344=283+61
344=277+67
344=271+73
344=241+103
344=193+151
344=181+163

346=317+29
346=293+53
346=263+83
346=257+89
346=239+107
346=233+113
346=197+149
346=179+167
346=173+173

348=337+11
348=331+17
348=317+31
348=311+37
348=307+41
348=281+67
348=277+71
348=269+79
348=251+97
348=241+107
348=239+109
348=211+137
348=199+149
348=197+151
348=191+157
348=181+167

350=347+3
350=337+13
350=331+19
350=313+37
350=307+43
350=283+67
350=277+73
350=271+79
350=241+109
350=223+127
350=211+139
350=199+151
350=193+157

352=349+3
352=347+5
352=311+41
352=293+59
352=281+71
352=269+83
352=263+89
352=251+101
352=239+113
352=179+173

354=349+5
354=347+7
354=337+17
354=331+23
354=317+37
354=313+41
354=311+43
354=307+47
354=293+61
354=283+71
354=281+73
354=271+83
354=257+97
354=251+103
354=241+113
354=227+127
354=223+131
354=197+157
354=191+163
354=181+173

356=353+3
356=349+7
356=337+19
356=313+43
356=283+73
356=277+79
356=229+127
356=199+157
356=193+163

358=353+5
358=347+11
358=317+41
358=311+47
358=269+89
358=257+101
358=251+107
358=227+131
358=191+167
358=179+179

360=353+7
360=349+11
360=347+13
360=337+23
360=331+29
360=317+43
360=313+47
360=307+53
360=293+67
360=281+79
360=277+83
360=271+89
360=263+97
360=257+103
360=251+109
360=233+127
360=229+131
360=223+137
360=211+149
360=197+163
360=193+167
360=181+179

362=359+3
362=349+13
362=331+31
362=283+79
362=223+139
362=211+151
362=199+163
362=181+181

364=359+5
364=353+11
364=347+17
364=317+47
364=311+53
364=293+71
364=281+83
364=263+101
364=257+107
364=251+113
364=233+131
364=227+137
364=197+167
364=191+173

366=359+7
366=353+13
366=349+17
366=347+19
366=337+29
366=313+53
366=307+59
366=293+73
366=283+83
366=277+89
366=269+97
366=263+103
366=257+109
366=239+127
366=229+137
366=227+139
366=199+167
366=193+173

368=349+19
368=337+31
368=331+37
368=307+61
368=271+97
368=241+127
368=229+139
368=211+157

370=367+3
370=359+11
370=353+17
370=347+23
370=317+53
370=311+59
370=281+89
370=269+101
370=263+107
370=257+113
370=239+131
370=233+137
370=197+173
370=191+179

372=367+5
372=359+13
372=353+19
372=349+23
372=331+41
372=313+59
372=311+61
372=293+79
372=283+89
372=271+101
372=269+103
372=263+109
372=241+131
372=233+139
372=223+149
372=199+173
372=193+179
372=191+181

374=367+7
374=337+37
374=331+43
374=313+61
374=307+67
374=277+97
374=271+103
374=223+151
374=211+163
374=193+181

376=373+3
376=359+17
376=353+23
376=347+29
376=317+59
376=293+83
376=269+107
376=263+113
376=239+137
376=227+149
376=197+179

378=373+5
378=367+11
378=359+19
378=349+29
378=347+31
378=337+41
378=331+47
378=317+61
378=311+67
378=307+71
378=281+97
378=277+101
378=271+107
378=269+109
378=251+127
378=241+137
378=239+139
378=229+149
378=227+151
378=211+167
378=199+179
378=197+181

380=373+7
380=367+13
380=349+31
380=337+43
380=313+67
380=307+73
380=283+97
380=277+103
380=271+109
380=241+139
380=229+151
380=223+157
380=199+181

382=379+3
382=359+23
382=353+29
382=311+71
382=293+89
382=281+101
382=269+113
382=251+131
382=233+149
382=191+191

384=379+5
384=373+11
384=367+17
384=353+31
384=347+37
384=337+47
384=331+53
384=317+67
384=313+71
384=311+73
384=283+101
384=281+103
384=277+107
384=271+113
384=257+127
384=233+151
384=227+157
384=211+173
384=193+191

386=383+3
386=379+7
386=373+13
386=367+19
386=349+37
386=313+73
386=307+79
386=283+103
386=277+109
386=229+157
386=223+163
386=193+193

388=383+5
388=359+29
388=347+41
388=317+71
388=281+107
388=257+131
388=251+137
388=239+149
388=197+191

390=383+7
390=379+11
390=373+17
390=367+23
390=359+31
390=353+37
390=349+41
390=347+43
390=337+53
390=331+59
390=317+73
390=311+79
390=307+83
390=293+97
390=283+107
390=281+109
390=277+113
390=263+127
390=251+139
390=241+149
390=239+151
390=233+157
390=227+163
390=223+167
390=211+179
390=199+191
390=197+193

392=389+3
392=379+13
392=373+19
392=349+43
392=331+61
392=313+79
392=283+109
392=241+151
392=229+163
392=211+181
392=199+193

394=389+5
394=383+11
394=353+41
394=347+47
394=311+83
394=293+101
394=281+113
394=263+131
394=257+137
394=227+167
394=197+197

396=389+7
396=383+13
396=379+17
396=373+23
396=367+29
396=359+37
396=353+43
396=349+47
396=337+59
396=317+79
396=313+83
396=307+89
396=293+103
396=283+113
396=269+127
396=257+139
396=239+157
396=233+163
396=229+167
396=223+173
396=199+197

398=379+19
398=367+31
398=337+61
398=331+67
398=271+127
398=241+157
398=199+199

400=397+3
400=389+11
400=383+17
400=359+41
400=353+47
400=347+53
400=317+83
400=311+89
400=293+107
400=269+131
400=263+137
400=251+149
400=233+167
400=227+173

402=397+5
402=389+13
402=383+19
402=379+23
402=373+29
402=359+43
402=349+53
402=331+71
402=313+89
402=293+109
402=271+131
402=263+139
402=251+151
402=239+163
402=229+173
402=223+179
402=211+191

404=401+3
404=397+7
404=373+31
404=367+37
404=337+67
404=331+73
404=307+97
404=277+127
404=241+163
404=223+181
404=211+193

406=401+5
406=389+17
406=383+23
406=359+47
406=353+53
406=347+59
406=317+89
406=293+113
406=269+137
406=257+149
406=239+167
406=233+173
406=227+179

408=401+7
408=397+11
408=389+19
408=379+29
408=367+41
408=349+59
408=347+61
408=337+71
408=311+97
408=307+101
408=281+127
408=277+131
408=271+137
408=269+139
408=257+151
408=251+157
408=241+167
408=229+179
408=227+181
408=211+197

410=397+13
410=379+31
410=373+37
410=367+43
410=349+61
410=337+73
410=331+79
410=313+97
410=307+103
410=283+127
410=271+139
410=229+181
410=211+199

412=409+3
412=401+11
412=389+23
412=383+29
412=359+53
412=353+59
412=311+101
412=281+131
412=263+149
412=239+173
412=233+179

414=409+5
414=401+13
414=397+17
414=383+31
414=373+41
414=367+47
414=353+61
414=347+67
414=331+83
414=317+97
414=313+101
414=311+103
414=307+107
414=283+131
414=277+137
414=263+151
414=257+157
414=251+163
414=241+173
414=233+181
414=223+191

416=409+7
416=397+19
416=379+37
416=373+43
416=349+67
416=337+79
416=313+103
416=307+109
416=277+139
416=223+193

418=401+17
418=389+29
418=359+59
418=347+71
418=317+101
418=311+107
418=281+137
418=269+149
418=251+167
418=239+179
418=227+191

420=409+11
420=401+19
420=397+23
420=389+31
420=383+37
420=379+41
420=373+47
420=367+53
420=359+61
420=353+67
420=349+71
420=347+73
420=337+83
420=331+89
420=317+103
420=313+107
420=311+109
420=307+113
420=293+127
420=283+137
420=281+139
420=271+149
420=269+151
420=263+157
420=257+163
420=241+179
420=239+181
420=229+191
420=227+193
420=223+197

422=419+3
422=409+13
422=379+43
422=349+73
422=313+109
422=283+139
422=271+151
422=241+181
422=229+193
422=223+199
422=211+211

424=421+3
424=419+5
424=401+23
424=383+41
424=353+71
424=317+107
424=311+113
424=293+131
424=257+167
424=251+173
424=233+191
424=227+197

426=421+5
426=419+7
426=409+17
426=397+29
426=389+37
426=383+43
426=379+47
426=373+53
426=367+59
426=359+67
426=353+73
426=347+79
426=337+89
426=317+109
426=313+113
426=277+149
426=269+157
426=263+163
426=233+193
426=229+197
426=227+199

428=421+7
428=409+19
428=397+31
428=367+61
428=349+79
428=331+97
428=277+151
428=271+157
428=229+199

430=419+11
430=401+29
430=389+41
430=383+47
430=359+71
430=347+83
430=317+113
430=293+137
430=281+149
430=263+167
430=257+173
430=251+179
430=239+191
430=233+197

432=421+11
432=419+13
432=409+23
432=401+31
432=389+43
432=379+53
432=373+59
432=359+73
432=353+79
432=349+83
432=331+101
432=293+139
432=283+149
432=281+151
432=269+163
432=251+181
432=241+191
432=239+193
432=233+199

434=431+3
434=421+13
434=397+37
434=373+61
434=367+67
434=337+97
434=331+103
434=307+127
434=283+151
434=277+157
434=271+163
434=241+193
434=223+211

436=433+3
436=431+5
436=419+17
436=389+47
436=383+53
436=353+83
436=347+89
436=269+167
436=263+173
436=257+179
436=239+197

438=433+5
438=431+7
438=421+17
438=419+19
438=409+29
438=401+37
438=397+41
438=379+59
438=367+71
438=359+79
438=349+89
438=337+101
438=331+107
438=311+127
438=307+131
438=281+157
438=271+167
438=257+181
438=241+197
438=239+199
438=227+211

440=433+7
440=421+19
440=409+31
440=397+43
440=379+61
440=373+67
440=367+73
440=337+103
440=331+109
440=313+127
440=283+157
440=277+163
440=241+199
440=229+211

442=439+3
442=431+11
442=419+23
442=401+41
442=389+53
442=383+59
442=359+83
442=353+89
442=311+131
442=293+149
442=269+173
442=263+179
442=251+191

444=439+5
444=433+11
444=431+13
444=421+23
444=401+43
444=397+47
444=383+61
444=373+71
444=347+97
444=337+107
444=331+113
444=317+127
444=313+131
444=307+137
444=293+151
444=281+163
444=277+167
444=271+173
444=263+181
444=251+193
444=233+211

446=443+3
446=439+7
446=433+13
446=409+37
446=379+67
446=373+73
446=367+79
446=349+97
446=337+109
446=307+139
446=283+163
446=223+223

448=443+5
448=431+17
448=419+29
448=401+47
448=389+59
448=359+89
448=347+101
448=317+131
448=311+137
448=281+167
448=269+179
448=257+191
448=251+197

450=443+7
450=439+11
450=433+17
450=431+19
450=421+29
450=419+31
450=409+41
450=397+53
450=389+61
450=383+67
450=379+71
450=367+83
450=353+97
450=349+101
450=347+103
450=337+113
450=313+137
450=311+139
450=293+157
450=283+167
450=277+173
450=271+179
450=269+181
450=257+193
450=251+199
450=239+211
450=227+223

452=449+3
452=439+13
452=433+19
452=421+31
452=409+43
452=379+73
452=373+79
452=349+103
452=313+139
452=271+181
452=241+211
452=229+223

454=449+5
454=443+11
454=431+23
454=401+53
454=383+71
454=353+101
454=347+107
454=317+137
454=281+173
454=263+191
454=257+197
454=227+227

456=449+7
456=443+13
456=439+17
456=433+23
456=419+37
456=409+47
456=397+59
456=389+67
456=383+73
456=373+83
456=367+89
456=359+97
456=353+103
456=349+107
456=347+109
456=317+139
456=307+149
456=293+163
456=283+173
456=277+179
456=263+193
456=257+199
456=233+223
456=229+227

458=439+19
458=421+37
458=397+61
458=379+79
458=349+109
458=331+127
458=307+151
458=277+181
458=229+229

460=457+3
460=449+11
460=443+17
460=431+29
460=419+41
460=401+59
460=389+71
460=359+101
460=353+107
460=347+113
460=311+149
460=293+167
460=281+179
460=269+191
460=263+197
460=233+227

462=457+5
462=449+13
462=443+19
462=439+23
462=433+29
462=431+31
462=421+41
462=419+43
462=409+53
462=401+61
462=389+73
462=383+79
462=379+83
462=373+89
462=359+103
462=353+109
462=349+113
462=331+131
462=313+149
462=311+151
462=283+179
462=281+181
462=271+191
462=269+193
462=263+199
462=251+211
462=239+223
462=233+229

464=461+3
464=457+7
464=433+31
464=421+43
464=397+67
464=367+97
464=337+127
464=313+151
464=307+157
464=283+181
464=271+193
464=241+223

466=463+3
466=461+5
466=449+17
466=443+23
466=419+47
466=383+83
466=359+107
466=353+113
466=317+149
466=293+173
466=269+197
466=239+227
466=233+233

468=463+5
468=461+7
468=457+11
468=449+19
468=439+29
468=431+37
468=421+47
468=409+59
468=401+67
468=397+71
468=389+79
468=379+89
468=367+101
468=359+109
468=337+131
468=331+137
468=317+151
468=311+157
468=277+191
468=271+197
468=269+199
468=257+211
468=241+227
468=239+229

470=467+3
470=463+7
470=457+13
470=439+31
470=433+37
470=409+61
470=397+73
470=373+97
470=367+103
470=331+139
470=313+157
470=307+163
470=277+193
470=271+199
470=241+229

472=467+5
472=461+11
472=449+23
472=443+29
472=431+41
472=419+53
472=401+71
472=389+83
472=383+89
472=359+113
472=293+179
472=281+191
472=239+233

474=467+7
474=463+11
474=461+13
474=457+17
474=443+31
474=433+41
474=431+43
474=421+53
474=401+73
474=373+101
474=367+107
474=347+127
474=337+137
474=317+157
474=311+163
474=307+167
474=293+181
474=283+191
474=281+193
474=277+197
474=263+211
474=251+223
474=241+233

476=463+13
476=457+19
476=439+37
476=433+43
476=409+67
476=397+79
476=379+97
476=373+103
476=367+109
476=349+127
476=337+139
476=313+163
476=283+193
476=277+199

478=467+11
478=461+17
478=449+29
478=431+47
478=419+59
478=389+89
478=347+131
478=311+167
478=281+197
478=251+227
478=239+239

480=467+13
480=463+17
480=461+19
480=457+23
480=449+31
480=443+37
480=439+41
480=433+47
480=421+59
480=419+61
480=409+71
480=401+79
480=397+83
480=383+97
480=379+101
480=373+107
480=367+113
480=353+127
480=349+131
480=331+149
480=317+163
480=313+167
480=307+173
480=283+197
480=281+199
480=269+211
480=257+223
480=251+229
480=241+239

482=479+3
482=463+19
482=439+43
482=421+61
482=409+73
482=379+103
482=373+109
482=331+151
482=283+199
482=271+211
482=241+241

484=479+5
484=467+17
484=461+23
484=443+41
484=431+53
484=401+83
484=383+101
484=353+131
484=347+137
484=317+167
484=311+173
484=293+191
484=257+227
484=251+233

486=479+7
486=467+19
486=463+23
486=457+29
486=449+37
486=443+43
486=439+47
486=433+53
486=419+67
486=397+89
486=389+97
486=383+103
486=379+107
486=373+113
486=359+127
486=349+137
486=347+139
486=337+149
486=313+173
486=307+179
486=293+193
486=263+223
486=257+229

488=457+31
488=421+67
488=409+79
488=379+109
488=349+139
488=337+151
488=331+157
488=307+181
488=277+211

490=487+3
490=479+11
490=467+23
490=461+29
490=449+41
490=443+47
490=431+59
490=419+71
490=401+89
490=389+101
490=383+107
490=359+131
490=353+137
490=317+173
490=311+179
490=293+197
490=263+227
490=257+233
490=251+239

492=487+5
492=479+13
492=463+29
492=461+31
492=449+43
492=439+53
492=433+59
492=431+61
492=421+71
492=419+73
492=409+83
492=389+103
492=383+109
492=379+113
492=353+139
492=313+179
492=311+181
492=293+199
492=281+211
492=269+223
492=263+229
492=251+241

494=491+3
494=487+7
494=463+31
494=457+37
494=433+61
494=421+73
494=397+97
494=367+127
494=337+157
494=331+163
494=313+181
494=283+211
494=271+223

496=491+5
496=479+17
496=467+29
496=449+47
496=443+53
496=389+107
496=383+113
496=359+137
496=347+149
496=317+179
496=269+227
496=263+233
496=257+239

498=491+7
498=487+11
498=479+19
498=467+31
498=461+37
498=457+41
498=439+59
498=431+67
498=419+79
498=409+89
498=401+97
498=397+101
498=389+109
498=367+131
498=359+139
498=349+149
498=347+151
498=331+167
498=317+181
498=307+191
498=271+227
498=269+229
498=257+241

500=487+13
500=463+37
500=457+43
500=439+61
500=433+67
500=421+79
500=397+103
500=373+127
500=349+151
500=337+163
500=307+193
500=277+223
500=271+229

502=499+3
502=491+11
502=479+23
502=461+41
502=449+53
502=443+59
502=431+71
502=419+83
502=401+101
502=389+113
502=353+149
502=311+191
502=269+233
502=263+239
502=251+251

504=499+5
504=491+13
504=487+17
504=467+37
504=463+41
504=461+43
504=457+47
504=443+61
504=433+71
504=431+73
504=421+83
504=401+103
504=397+107
504=373+131
504=367+137
504=353+151
504=347+157
504=337+167
504=331+173
504=313+191
504=311+193
504=307+197
504=293+211
504=281+223
504=277+227
504=271+233
504=263+241

506=503+3
506=499+7
506=487+19
506=463+43
506=439+67
506=433+73
506=409+97
506=397+109
506=379+127
506=367+139
506=349+157
506=313+193
506=307+199
506=283+223
506=277+229

508=503+5
508=491+17
508=479+29
508=467+41
508=461+47
508=449+59
508=419+89
508=401+107
508=359+149
508=317+191
508=311+197
508=281+227
508=269+239
508=257+251

510=503+7
510=499+11
510=491+19
510=487+23
510=479+31
510=467+43
510=463+47
510=457+53
510=449+61
510=443+67
510=439+71
510=431+79
510=421+89
510=409+101
510=401+109
510=397+113
510=383+127
510=379+131
510=373+137
510=359+151
510=353+157
510=347+163
510=337+173
510=331+179
510=317+193
510=313+197
510=311+199
510=283+227
510=281+229
510=277+233
510=271+239
510=269+241

512=509+3
512=499+13
512=439+73
512=433+79
512=409+103
512=373+139
512=349+163
512=331+181
512=313+199
512=283+229
512=271+241

514=509+5
514=503+11
514=491+23
514=467+47
514=461+53
514=443+71
514=431+83
514=401+113
514=383+131
514=347+167
514=317+197
514=281+233
514=263+251
514=257+257

516=509+7
516=503+13
516=499+17
516=487+29
516=479+37
516=463+53
516=457+59
516=449+67
516=443+73
516=433+83
516=419+97
516=409+107
516=389+127
516=379+137
516=367+149
516=359+157
516=353+163
516=349+167
516=337+179
516=317+199
516=293+223
516=283+233
516=277+239

518=499+19
518=487+31
518=457+61
518=439+79
518=421+97
518=409+109
518=379+139
518=367+151
518=337+181
518=307+211
518=277+241

520=509+11
520=503+17
520=491+29
520=479+41
520=467+53
520=461+59
520=449+71
520=431+89
520=419+101
520=389+131
520=383+137
520=353+167
520=347+173
520=293+227
520=281+239
520=269+251
520=263+257

522=509+13
522=503+19
522=499+23
522=491+31
522=479+43
522=463+59
522=461+61
522=449+73
522=443+79
522=439+83
522=433+89
522=421+101
522=419+103
522=409+113
522=383+139
522=373+149
522=359+163
522=349+173
522=331+191
522=311+211
522=293+229
522=283+239
522=281+241
522=271+251

524=521+3
524=487+37
524=463+61
524=457+67
524=421+103
524=397+127
524=373+151
524=367+157
524=331+193
524=313+211
524=283+241

526=523+3
526=521+5
526=509+17
526=503+23
526=479+47
526=467+59
526=443+83
526=419+107
526=389+137
526=359+167
526=353+173
526=347+179
526=293+233
526=269+257
526=263+263

528=523+5
528=521+7
528=509+19
528=499+29
528=491+37
528=487+41
528=467+61
528=461+67
528=457+71
528=449+79
528=439+89
528=431+97
528=421+107
528=419+109
528=401+127
528=397+131
528=389+139
528=379+149
528=349+179
528=347+181
528=337+191
528=331+197
528=317+211
528=277+251
528=271+257

530=523+7
530=499+31
530=487+43
530=463+67
530=457+73
530=433+97
530=421+109
530=379+151
530=373+157
530=367+163
530=349+181
530=337+193
530=331+199
530=307+223

532=521+11
532=509+23
532=503+29
532=491+41
532=479+53
532=461+71
532=449+83
532=443+89
532=431+101
532=419+113
532=401+131
532=383+149
532=359+173
532=353+179
532=293+239
532=281+251
532=269+263

534=523+11
534=521+13
534=503+31
534=491+43
534=487+47
534=467+67
534=463+71
534=461+73
534=433+101
534=431+103
534=421+113
534=397+137
534=383+151
534=367+167
534=353+181
534=337+197
534=311+223
534=307+227
534=293+241
534=283+251
534=277+257
534=271+263

536=523+13
536=499+37
536=463+73
536=457+79
536=439+97
536=433+103
536=409+127
536=397+139
536=379+157
536=373+163
536=337+199
536=313+223
536=307+229

538=521+17
538=509+29
538=491+47
538=479+59
538=467+71
538=449+89
538=431+107
538=401+137
538=389+149
538=359+179
538=347+191
538=311+227
538=281+257
538=269+269

540=523+17
540=521+19
540=509+31
540=503+37
540=499+41
540=487+53
540=479+61
540=467+73
540=461+79
540=457+83
540=443+97
540=439+101
540=433+107
540=431+109
540=409+131
540=401+139
540=389+151
540=383+157
540=373+167
540=367+173
540=359+181
540=349+191
540=347+193
540=317+223
540=313+227
540=311+229
540=307+233
540=283+257
540=277+263
540=271+269

542=523+19
542=499+43
542=463+79
542=439+103
542=433+109
542=379+163
542=349+193
542=331+211
542=313+229
542=271+271

544=541+3
544=521+23
544=503+41
544=491+53
544=461+83
544=443+101
544=431+113
544=353+191
544=347+197
544=317+227
544=311+233
544=293+251
544=281+263

546=541+5
546=523+23
546=509+37
546=503+43
546=499+47
546=487+59
546=479+67
546=467+79
546=463+83
546=457+89
546=449+97
546=443+103
546=439+107
546=433+113
546=419+127
546=409+137
546=397+149
546=389+157
546=383+163
546=379+167
546=373+173
546=367+179
546=353+193
546=349+197
546=347+199
546=317+229
546=313+233
546=307+239
546=283+263
546=277+269

548=541+7
548=487+61
548=439+109
548=421+127
548=409+139
548=397+151
548=367+181
548=349+199
548=337+211
548=307+241
548=277+271

550=547+3
550=521+29
550=509+41
550=503+47
550=491+59
550=479+71
550=467+83
550=461+89
550=449+101
550=443+107
550=419+131
550=401+149
550=383+167
550=359+191
550=353+197
550=317+233
550=311+239
550=293+257
550=281+269

552=547+5
552=541+11
552=523+29
552=521+31
552=509+43
552=499+53
552=491+61
552=479+73
552=463+89
552=449+103
552=443+109
552=439+113
552=421+131
552=401+151
552=389+163
552=379+173
552=373+179
552=359+193
552=353+199
552=313+239
552=311+241
552=283+269
552=281+271

554=547+7
554=541+13
554=523+31
554=487+67
554=457+97
554=397+157
554=373+181
554=331+223
554=313+241
554=283+271
554=277+277

556=509+47
556=503+53
556=467+89
556=449+107
556=443+113
556=419+137
556=389+167
556=383+173
556=359+197
556=317+239
556=293+263

558=547+11
558=541+17
558=521+37
558=499+59
558=491+67
558=487+71
558=479+79
558=461+97
558=457+101
558=449+109
558=431+127
558=421+137
558=419+139
558=409+149
558=401+157
558=379+179
558=367+191
558=359+199
558=347+211
558=331+227
558=317+241
558=307+251
558=281+277

560=557+3
560=547+13
560=541+19
560=523+37
560=499+61
560=487+73
560=463+97
560=457+103
560=433+127
560=421+139
560=409+151
560=397+163
560=379+181
560=367+193
560=349+211
560=337+223
560=331+229
560=283+277

562=557+5
562=521+41
562=509+53
562=503+59
562=491+71
562=479+83
562=461+101
562=449+113
562=431+131
562=389+173
562=383+179
562=311+251
562=293+269
562=281+281

564=557+7
564=547+17
564=541+23
564=523+41
564=521+43
564=503+61
564=491+73
564=467+97
564=463+101
564=461+103
564=457+107
564=433+131
564=401+163
564=397+167
564=383+181
564=373+191
564=367+197
564=353+211
564=337+227
564=331+233
564=313+251
564=307+257
564=293+271
564=283+281

566=563+3
566=547+19
566=523+43
566=499+67
566=487+79
566=463+103
566=457+109
566=439+127
566=409+157
566=373+193
566=367+199
566=337+229
566=283+283

568=563+5
568=557+11
568=521+47
568=509+59
568=479+89
568=467+101
568=461+107
568=431+137
568=419+149
568=401+167
568=389+179
568=317+251
568=311+257

570=563+7
570=557+13
570=547+23
570=541+29
570=523+47
570=509+61
570=503+67
570=499+71
570=491+79
570=487+83
570=467+103
570=463+107
570=461+109
570=457+113
570=443+127
570=439+131
570=433+137
570=431+139
570=421+149
570=419+151
570=397+173
570=389+181
570=379+191
570=373+197
570=359+211
570=347+223
570=337+233
570=331+239
570=313+257
570=307+263
570=293+277

572=569+3
572=541+31
572=499+73
572=463+109
572=433+139
572=421+151
572=409+163
572=379+193
572=373+199
572=349+223
572=331+241

574=571+3
574=569+5
574=563+11
574=557+17
574=521+53
574=503+71
574=491+83
574=467+107
574=461+113
574=443+131
574=401+173
574=383+191
574=347+227
574=317+257
574=311+263
574=293+281

576=571+5
576=569+7
576=563+13
576=557+19
576=547+29
576=523+53
576=509+67
576=503+73
576=487+89
576=479+97
576=467+109
576=463+113
576=449+127
576=439+137
576=419+157
576=409+167
576=397+179
576=383+193
576=379+197
576=353+223
576=349+227
576=347+229
576=337+239
576=313+263
576=307+269
576=293+283

578=571+7
578=547+31
578=541+37
578=499+79
578=439+139
578=421+157
578=397+181
578=379+199
578=367+211
578=349+229
578=337+241
578=307+271

580=577+3
580=569+11
580=563+17
580=557+23
580=521+59
580=509+71
580=491+89
580=479+101
580=467+113
580=449+131
580=443+137
580=431+149
580=401+179
580=389+191
580=383+197
580=353+227
580=347+233
580=317+263
580=311+269

582=577+5
582=571+11
582=569+13
582=563+19
582=541+41
582=523+59
582=521+61
582=509+73
582=503+79
582=499+83
582=479+103
582=443+139
582=433+149
582=431+151
582=419+163
582=409+173
582=401+181
582=389+193
582=383+199
582=359+223
582=353+229
582=349+233
582=331+251
582=313+269
582=311+271

584=577+7
584=571+13
584=547+37
584=541+43
584=523+61
584=487+97
584=457+127
584=433+151
584=421+163
584=373+211
584=313+271
584=307+277

586=569+17
586=563+23
586=557+29
586=503+83
586=479+107
586=449+137
586=419+167
586=389+197
586=359+227
586=353+233
586=347+239
586=317+269
586=293+293

588=577+11
588=571+17
588=569+19
588=557+31
588=547+41
588=541+47
588=521+67
588=509+79
588=499+89
588=491+97
588=487+101
588=479+109
588=461+127
588=457+131
588=449+139
588=439+149
588=431+157
588=421+167
588=409+179
588=397+191
588=389+199
588=359+229
588=349+239
588=347+241
588=337+251
588=331+257
588=317+271
588=311+277
588=307+281

590=587+3
590=577+13
590=571+19
590=547+43
590=523+67
590=487+103
590=463+127
590=439+151
590=433+157
590=409+181
590=397+193
590=379+211
590=367+223
590=349+241
590=313+277
590=307+283

592=587+5
592=569+23
592=563+29
592=521+71
592=509+83
592=503+89
592=491+101
592=479+113
592=461+131
592=443+149
592=419+173
592=401+191
592=359+233
592=353+239
592=311+281

594=587+7
594=577+17
594=571+23
594=563+31
594=557+37
594=547+47
594=541+53
594=523+71
594=521+73
594=491+103
594=487+107
594=467+127
594=463+131
594=457+137
594=443+151
594=431+163
594=421+173
594=401+193
594=397+197
594=383+211
594=367+227
594=353+241
594=337+257
594=331+263
594=317+277
594=313+281
594=311+283

596=593+3
596=577+19
596=523+73
596=499+97
596=487+109
596=457+139
596=439+157
596=433+163
596=397+199
596=373+223
596=367+229
596=313+283

598=593+5
598=587+11
598=569+29
598=557+41
598=509+89
598=491+107
598=467+131
598=461+137
598=449+149
598=431+167
598=419+179
598=401+197
598=359+239
598=347+251
598=317+281

600=593+7
600=587+13
600=577+23
600=571+29
600=569+31
600=563+37
600=557+43
600=547+53
600=541+59
600=521+79
600=503+97
600=499+101
600=491+109
600=487+113
600=463+137
600=461+139
600=449+151
600=443+157
600=433+167
600=421+179
600=419+181
600=409+191
600=401+199
600=389+211
600=373+227
600=367+233
600=359+241
600=349+251
600=337+263
600=331+269
600=317+283
600=307+293

602=599+3
602=571+31
602=541+61
602=523+79
602=499+103
602=463+139
602=439+163
602=421+181
602=409+193
602=379+223
602=373+229
602=331+271

604=601+3
604=599+5
604=593+11
604=587+17
604=563+41
604=557+47
604=521+83
604=503+101
604=491+113
604=467+137
604=431+173
604=353+251
604=347+257
604=311+293

606=601+5
606=599+7
606=593+13
606=587+19
606=577+29
606=569+37
606=563+43
606=547+59
606=523+83
606=509+97
606=503+103
606=499+107
606=479+127
606=467+139
606=457+149
606=449+157
606=443+163
606=439+167
606=433+173
606=409+197
606=383+223
606=379+227
606=373+233
606=367+239
606=349+257
606=337+269
606=313+293

608=601+7
608=577+31
608=571+37
608=547+61
608=541+67
608=499+109
608=457+151
608=409+199
608=397+211
608=379+229
608=367+241
608=337+271
608=331+277

610=607+3
610=599+11
610=593+17
610=587+23
610=569+41
610=563+47
610=557+53
610=521+89
610=509+101
610=503+107
610=479+131
610=461+149
610=443+167
610=431+179
610=419+191
610=383+227
610=359+251
610=353+257
610=347+263
610=317+293

612=607+5
612=601+11
612=599+13
612=593+19
612=571+41
612=569+43
612=541+71
612=523+89
612=509+103
612=503+109
612=499+113
612=463+149
612=461+151
612=449+163
612=439+173
612=433+179
612=431+181
612=421+191
612=419+193
612=401+211
612=389+223
612=383+229
612=379+233
612=373+239
612=349+263
612=331+281

614=607+7
614=601+13
614=577+37
614=571+43
614=547+67
614=541+73
614=487+127
614=463+151
614=457+157
614=433+181
614=421+193
614=373+241
614=337+277
614=331+283
614=307+307

616=613+3
616=599+17
616=593+23
616=587+29
616=569+47
616=563+53
616=557+59
616=509+107
616=503+113
616=479+137
616=467+149
616=449+167
616=443+173
616=419+197
616=389+227
616=383+233
616=359+257
616=353+263
616=347+269

618=613+5
618=607+11
618=601+17
618=599+19
618=587+31
618=577+41
618=571+47
618=557+61
618=547+71
618=521+97
618=509+109
618=491+127
618=487+131
618=479+139
618=467+151
618=461+157
618=439+179
618=421+197
618=419+199
618=389+229
618=379+239
618=367+251
618=349+269
618=347+271
618=337+281
618=311+307

620=617+3
620=613+7
620=607+13
620=601+19
620=577+43
620=547+73
620=541+79
620=523+97
620=463+157
620=457+163
620=439+181
620=421+199
620=409+211
620=397+223
620=379+241
620=349+271
620=337+283
620=313+307

622=619+3
622=617+5
622=599+23
622=593+29
622=569+53
622=563+59
622=521+101
622=509+113
622=491+131
622=449+173
622=443+179
622=431+191
622=389+233
622=383+239
622=359+263
622=353+269
622=311+311

624=619+5
624=617+7
624=613+11
624=607+17
624=601+23
624=593+31
624=587+37
624=577+47
624=571+53
624=563+61
624=557+67
624=541+83
624=523+101
624=521+103
624=487+137
624=467+157
624=461+163
624=457+167
624=443+181
624=433+191
624=431+193
624=401+223
624=397+227
624=383+241
624=373+251
624=367+257
624=353+271
624=347+277
624=331+293
624=317+307
624=313+311

626=619+7
626=613+13
626=607+19
626=547+79
626=523+103
626=499+127
626=487+139
626=463+163
626=433+193
626=397+229
626=349+277
626=313+313

628=617+11
628=599+29
628=587+41
628=569+59
628=557+71
628=521+107
628=491+137
628=479+149
628=461+167
628=449+179
628=431+197
628=401+227
628=389+239
628=359+269
628=347+281
628=317+311

630=619+11
630=617+13
630=613+17
630=607+23
630=601+29
630=599+31
630=593+37
630=587+43
630=577+53
630=571+59
630=569+61
630=563+67
630=557+73
630=547+83
630=541+89
630=523+107
630=521+109
630=503+127
630=499+131
630=491+139
630=479+151
630=467+163
630=463+167
630=457+173
630=449+181
630=439+191
630=433+197
630=431+199
630=419+211
630=401+229
630=397+233
630=389+241
630=379+251
630=373+257
630=367+263
630=359+271
630=353+277
630=349+281
630=347+283
630=337+293
630=317+313

632=619+13
632=613+19
632=601+31
632=571+61
632=523+109
632=439+193
632=433+199
632=421+211
632=409+223
632=349+283

634=631+3
634=617+17
634=593+41
634=587+47
634=563+71
634=521+113
634=503+131
634=467+167
634=461+173
634=443+191
634=401+233
634=383+251
634=353+281
634=317+317

636=631+5
636=619+17
636=617+19
636=613+23
636=607+29
636=599+37
636=593+43
636=577+59
636=569+67
636=563+73
636=557+79
636=547+89
636=523+113
636=509+127
636=499+137
636=487+149
636=479+157
636=463+173
636=457+179
636=443+193
636=439+197
636=409+227
636=397+239
636=379+257
636=373+263
636=367+269
636=359+277
636=353+283

638=631+7
638=619+19
638=607+31
638=601+37
638=577+61
638=571+67
638=541+97
638=499+139
638=487+151
638=457+181
638=439+199
638=409+229
638=397+241
638=367+271
638=331+307

640=617+23
640=599+41
640=593+47
640=587+53
640=569+71
640=557+83
640=509+131
640=503+137
640=491+149
640=467+173
640=461+179
640=449+191
640=443+197
640=401+239
640=389+251
640=383+257
640=359+281
640=347+293

642=631+11
642=619+23
642=613+29
642=601+41
642=599+43
642=571+71
642=569+73
642=563+79
642=541+101
642=503+139
642=491+151
642=479+163
642=463+179
642=461+181
642=449+193
642=443+199
642=431+211
642=419+223
642=409+233
642=401+241
642=379+263
642=373+269
642=359+283
642=349+293
642=331+311

644=641+3
644=631+13
644=613+31
644=607+37
644=601+43
644=577+67
644=571+73
644=547+97
644=541+103
644=487+157
644=463+181
644=433+211
644=421+223
644=373+271
644=367+277
644=337+307
644=331+313

646=643+3
646=641+5
646=617+29
646=599+47
646=593+53
646=587+59
646=563+83
646=557+89
646=509+137
646=479+167
646=467+179
646=449+197
646=419+227
646=389+257
646=383+263
646=353+293

648=643+5
648=641+7
648=631+17
648=619+29
648=617+31
648=607+41
648=601+47
648=587+61
648=577+71
648=569+79
648=547+101
648=541+107
648=521+127
648=509+139
648=499+149
648=491+157
648=467+181
648=457+191
648=449+199
648=421+227
648=419+229
648=409+239
648=397+251
648=379+269
648=367+281
648=337+311
648=331+317

650=647+3
650=643+7
650=631+19
650=619+31
650=613+37
650=607+43
650=577+73
650=571+79
650=547+103
650=541+109
650=523+127
650=499+151
650=487+163
650=457+193
650=439+211
650=421+229
650=409+241
650=379+271
650=373+277
650=367+283
650=337+313

652=647+5
652=641+11
652=599+53
652=593+59
652=569+83
652=563+89
652=521+131
652=503+149
652=479+173
652=461+191
652=419+233
652=401+251
652=389+263
652=383+269
652=359+293

654=647+7
654=643+11
654=641+13
654=631+23
654=617+37
654=613+41
654=607+47
654=601+53
654=593+61
654=587+67
654=571+83
654=557+97
654=547+107
654=541+113
654=523+131
654=503+151
654=491+163
654=487+167
654=463+191
654=461+193
654=457+197
654=443+211
654=431+223
654=421+233
654=397+257
654=383+271
654=373+281
654=347+307
654=337+317

656=653+3
656=643+13
656=619+37
656=613+43
656=577+79
656=547+109
656=499+157
656=463+193
656=457+199
656=433+223
656=379+277
656=373+283
656=349+307

658=653+5
658=647+11
658=641+17
658=617+41
658=599+59
658=587+71
658=569+89
658=557+101
658=521+137
658=509+149
658=491+167
658=479+179
658=467+191
658=461+197
658=431+227
658=419+239
658=401+257
658=389+269
658=347+311

660=653+7
660=647+13
660=643+17
660=641+19
660=631+29
660=619+41
660=617+43
660=613+47
660=607+53
660=601+59
660=599+61
660=593+67
660=587+73
660=577+83
660=571+89
660=563+97
660=557+103
660=547+113
660=523+137
660=521+139
660=509+151
660=503+157
660=487+173
660=479+181
660=467+193
660=463+197
660=461+199
660=449+211
660=433+227
660=431+229
660=421+239
660=419+241
660=409+251
660=397+263
660=389+271
660=383+277
660=379+281
660=367+293
660=353+307
660=349+311
660=347+313

662=659+3
662=643+19
662=631+31
662=619+43
662=601+61
662=523+139
662=499+163
662=463+199
662=439+223
662=433+229
662=421+241
662=379+283
662=349+313
662=331+331

664=661+3
664=659+5
664=653+11
664=647+17
664=641+23
664=617+47
664=593+71
664=563+101
664=557+107
664=491+173
664=467+197
664=431+233
664=401+263
664=383+281
664=353+311
664=347+317

666=661+5
666=659+7
666=653+13
666=647+19
666=643+23
666=619+47
666=613+53
666=607+59
666=599+67
666=593+73
666=587+79
666=577+89
666=569+97
666=563+103
666=557+109
666=509+157
666=503+163
666=499+167
666=487+179
666=467+199
666=443+223
666=439+227
666=433+233
666=409+257
666=397+269
666=389+277
666=383+283
666=373+293
666=359+307
666=353+313
666=349+317

668=661+7
668=631+37
668=607+61
668=601+67
668=571+97
668=541+127
668=487+181
668=457+211
668=439+229
668=397+271
668=337+331

670=659+11
670=653+17
670=647+23
670=641+29
670=617+53
670=599+71
670=587+83
670=569+101
670=563+107
670=557+113
670=521+149
670=503+167
670=491+179
670=479+191
670=443+227
670=431+239
670=419+251
670=401+269
670=389+281
670=359+311
670=353+317

672=661+11
672=659+13
672=653+19
672=643+29
672=641+31
672=631+41
672=619+53
672=613+59
672=601+71
672=599+73
672=593+79
672=571+101
672=569+103
672=563+109
672=541+131
672=523+149
672=521+151
672=509+163
672=499+173
672=491+181
672=479+193
672=461+211
672=449+223
672=443+229
672=439+233
672=433+239
672=431+241
672=421+251
672=409+263
672=401+271
672=389+283
672=379+293
672=359+313

674=661+13
674=643+31
674=631+43
674=613+61
674=607+67
674=601+73
674=577+97
674=571+103
674=547+127
674=523+151
674=463+211
674=433+241
674=397+277
674=367+307
674=337+337

676=673+3
676=659+17
676=653+23
676=647+29
676=617+59
676=593+83
676=587+89
676=569+107
676=563+113
676=509+167
676=503+173
676=479+197
676=449+227
676=443+233
676=419+257
676=383+293
676=359+317

678=673+5
678=661+17
678=659+19
678=647+31
678=641+37
678=631+47
678=619+59
678=617+61
678=607+71
678=599+79
678=577+101
678=571+107
678=569+109
678=547+131
678=541+137
678=521+157
678=499+179
678=487+191
678=479+199
678=467+211
678=449+229
678=439+239
678=421+257
678=409+269
678=401+277
678=397+281
678=367+311
678=347+331

680=677+3
680=673+7
680=661+19
680=643+37
680=619+61
680=613+67
680=607+73
680=601+79
680=577+103
680=571+109
680=541+139
680=523+157
680=499+181
680=487+193
680=457+223
680=439+241
680=409+271
680=397+283
680=373+307
680=367+313
680=349+331

682=677+5
682=659+23
682=653+29
682=641+41
682=599+83
682=593+89
682=569+113
682=509+173
682=503+179
682=491+191
682=449+233
682=443+239
682=431+251
682=419+263
682=401+281
682=389+293

684=677+7
684=673+11
684=661+23
684=653+31
684=647+37
684=643+41
684=641+43
684=631+53
684=617+67
684=613+71
684=601+83
684=587+97
684=577+107
684=571+113
684=557+127
684=547+137
684=521+163
684=503+181
684=491+193
684=487+197
684=461+223
684=457+227
684=443+241
684=433+251
684=421+263
684=401+283
684=373+311
684=367+317
684=353+331
684=347+337

686=683+3
686=673+13
686=643+43
686=619+67
686=613+73
686=607+79
686=577+109
686=547+139
686=523+163
686=487+199
686=463+223
686=457+229
686=409+277
686=379+307
686=373+313
686=349+337

688=683+5
688=677+11
688=659+29
688=647+41
688=641+47
688=617+71
688=599+89
688=587+101
688=557+131
688=521+167
688=509+179
688=491+197
688=461+227
688=449+239
688=431+257
688=419+269

690=683+7
690=677+13
690=673+17
690=661+29
690=659+31
690=653+37
690=647+43
690=643+47
690=631+59
690=619+71
690=617+73
690=607+83
690=601+89
690=593+97
690=587+103
690=577+113
690=563+127
690=541+149
690=523+167
690=509+181
690=499+191
690=491+199
690=479+211
690=467+223
690=463+227
690=461+229
690=457+233
690=449+241
690=439+251
690=433+257
690=421+269
690=419+271
690=409+281
690=397+293
690=383+307
690=379+311
690=373+317
690=359+331
690=353+337

692=673+19
692=661+31
692=631+61
692=619+73
692=613+79
692=541+151
692=499+193
692=463+229
692=421+271
692=409+283
692=379+313

694=691+3
694=683+11
694=677+17
694=653+41
694=647+47
694=641+53
694=593+101
694=587+107
694=563+131
694=557+137
694=521+173
694=503+191
694=467+227
694=461+233
694=443+251
694=431+263
694=401+293
694=383+311
694=347+347

696=691+5
696=683+13
696=677+19
696=673+23
696=659+37
696=653+43
696=643+53
696=617+79
696=613+83
696=607+89
696=599+97
696=593+103
696=587+109
696=569+127
696=557+139
696=547+149
696=523+173
696=503+193
696=499+197
696=467+229
696=463+233
696=457+239
696=439+257
696=433+263
696=419+277
696=389+307
696=383+313
696=379+317
696=359+337
696=349+347

698=691+7
698=661+37
698=631+67
698=619+79
698=601+97
698=571+127
698=547+151
698=541+157
698=499+199
698=487+211
698=457+241
698=421+277
698=367+331
698=349+349

700=683+17
700=677+23
700=659+41
700=653+47
700=647+53
700=641+59
700=617+83
700=599+101
700=593+107
700=587+113
700=569+131
700=563+137
700=521+179
700=509+191
700=503+197
700=467+233
700=461+239
700=449+251
700=443+257
700=431+269
700=419+281
700=389+311
700=383+317
700=353+347

702=691+11
702=683+19
702=673+29
702=661+41
702=659+43
702=643+59
702=641+61
702=631+71
702=619+83
702=613+89
702=601+101
702=599+103
702=593+109
702=571+131
702=563+139
702=523+179
702=521+181
702=509+193
702=503+199
702=491+211
702=479+223
702=463+239
702=461+241
702=439+263
702=433+269
702=431+271
702=421+281
702=419+283
702=409+293
702=389+313
702=353+349

704=701+3
704=691+13
704=673+31
704=661+43
704=643+61
704=631+73
704=607+97
704=601+103
704=577+127
704=547+157
704=541+163
704=523+181
704=463+241
704=433+271
704=421+283
704=397+307
704=373+331
704=367+337

706=701+5
706=683+23
706=677+29
706=659+47
706=653+53
706=647+59
706=617+89
706=599+107
706=593+113
706=569+137
706=557+149
706=509+197
706=479+227
706=467+239
706=449+257
706=443+263
706=389+317
706=359+347
706=353+353

708=701+7
708=691+17
708=677+31
708=661+47
708=647+61
708=641+67
708=619+89
708=607+101
708=601+107
708=599+109
708=577+131
708=571+137
708=569+139
708=557+151
708=541+167
708=509+199
708=479+229
708=467+241
708=457+251
708=439+269
708=431+277
708=401+307
708=397+311
708=359+349

710=691+19
710=673+37
710=643+67
710=631+79
710=613+97
710=607+103
710=601+109
710=571+139
710=547+163
710=499+211
710=487+223
710=439+271
710=433+277
710=397+313
710=379+331
710=373+337

712=709+3
712=701+11
712=683+29
712=659+53
712=653+59
712=641+71
712=599+113
712=563+149
712=521+191
712=479+233
712=461+251
712=449+263
712=443+269
712=431+281
712=419+293
712=401+311
712=359+353

714=709+5
714=701+13
714=691+23
714=683+31
714=677+37
714=673+41
714=661+53
714=653+61
714=647+67
714=643+71
714=641+73
714=631+83
714=617+97
714=613+101
714=607+107
714=601+113
714=587+127
714=577+137
714=563+151
714=557+157
714=547+167
714=541+173
714=523+191
714=521+193
714=503+211
714=491+223
714=487+227
714=463+251
714=457+257
714=443+271
714=433+281
714=431+283
714=421+293
714=401+313
714=397+317
714=383+331
714=367+347

716=709+7
716=673+43
716=643+73
716=619+97
716=613+103
716=607+109
716=577+139
716=523+193
716=487+229
716=439+277
716=433+283
716=409+307
716=379+337
716=367+349

718=701+17
718=677+41
718=659+59
718=647+71
718=617+101
718=587+131
718=569+149
718=521+197
718=491+227
718=479+239
718=467+251
718=461+257
718=449+269
718=401+317
718=359+359

720=709+11
720=701+19
720=691+29
720=683+37
720=677+43
720=673+47
720=661+59
720=659+61
720=653+67
720=647+73
720=641+79
720=631+89
720=619+101
720=617+103
720=613+107
720=607+113
720=593+127
720=571+149
720=569+151
720=563+157
720=557+163
720=547+173
720=541+179
720=523+197
720=521+199
720=509+211
720=491+229
720=487+233
720=479+241
720=463+257
720=457+263
720=449+271
720=443+277
720=439+281
720=409+311
720=389+331
720=383+337
720=373+347
720=367+353

722=719+3
722=709+13
722=691+31
722=661+61
722=643+79
722=619+103
722=613+109
722=571+151
722=541+181
722=523+199
722=499+223
722=439+283
722=409+313
722=373+349

724=719+5
724=701+23
724=683+41
724=677+47
724=653+71
724=641+83
724=617+107
724=593+131
724=587+137
724=557+167
724=491+233
724=467+257
724=461+263
724=443+281
724=431+293

726=719+7
726=709+17
726=683+43
726=673+53
726=659+67
726=653+73
726=647+79
726=643+83
726=619+107
726=617+109
726=613+113
726=599+127
726=587+139
726=577+149
726=569+157
726=563+163
726=547+179
726=503+223
726=499+227
726=487+239
726=463+263
726=457+269
726=449+277
726=443+283
726=433+293
726=419+307
726=409+317
726=389+337
726=379+347
726=373+353
726=367+359

728=709+19
728=691+37
728=661+67
728=631+97
728=619+109
728=601+127
728=577+151
728=571+157
728=547+181
728=499+229
728=487+241
728=457+271
728=421+307
728=397+331
728=379+349

730=727+3
730=719+11
730=701+29
730=683+47
730=677+53
730=659+71
730=647+83
730=641+89
730=617+113
730=599+131
730=593+137
730=563+167
730=557+173
730=503+227
730=491+239
730=479+251
730=467+263
730=461+269
730=449+281
730=419+311
730=383+347

732=727+5
732=719+13
732=709+23
732=701+31
732=691+41
732=673+59
732=661+71
732=659+73
732=653+79
732=643+89
732=631+101
732=619+113
732=601+131
732=593+139
732=569+163
732=541+191
732=521+211
732=509+223
732=503+229
732=499+233
732=491+241
732=463+269
732=461+271
732=449+283
732=439+293
732=421+311
732=419+313
732=401+331
732=383+349
732=379+353
732=373+359

734=727+7
734=691+43
734=673+61
734=661+73
734=631+103
734=607+127
734=577+157
734=571+163
734=541+193
734=523+211
734=463+271
734=457+277
734=421+313
734=397+337
734=367+367

736=733+3
736=719+17
736=683+53
736=677+59
736=653+83
736=647+89
736=599+137
736=587+149
736=569+167
736=563+173
736=557+179
736=509+227
736=503+233
736=479+257
736=467+269
736=443+293
736=419+317
736=389+347
736=383+353

738=733+5
738=727+11
738=719+19
738=709+29
738=701+37
738=691+47
738=677+61
738=659+79
738=641+97
738=631+107
738=607+131
738=601+137
738=599+139
738=587+151
738=571+167
738=557+181
738=547+191
738=541+197
738=509+229
738=499+239
738=487+251
738=467+271
738=461+277
738=457+281
738=431+307
738=421+317
738=401+337
738=389+349
738=379+359

740=733+7
740=727+13
740=709+31
740=673+67
740=661+79
740=643+97
740=631+109
740=613+127
740=601+139
740=577+163
740=547+193
740=541+199
740=499+241
740=463+277
740=457+283
740=433+307
740=409+331
740=373+367

742=739+3
742=719+23
742=701+41
742=683+59
742=659+83
742=653+89
742=641+101
742=593+149
742=569+173
742=563+179
742=509+233
742=503+239
742=491+251
742=479+263
742=461+281
742=449+293
742=431+311
742=389+353
742=383+359

744=739+5
744=733+11
744=727+17
744=701+43
744=691+53
744=683+61
744=677+67
744=673+71
744=661+83
744=647+97
744=643+101
744=641+103
744=631+113
744=617+127
744=613+131
744=607+137
744=593+151
744=587+157
744=577+167
744=571+173
744=563+181
744=547+197
744=521+223
744=503+241
744=487+257
744=467+277
744=463+281
744=461+283
744=433+311
744=431+313
744=397+347

746=743+3
746=739+7
746=733+13
746=727+19
746=709+37
746=673+73
746=643+103
746=619+127
746=607+139
746=547+199
746=523+223
746=463+283
746=439+307
746=433+313
746=409+337
746=397+349
746=379+367
746=373+373

748=743+5
748=719+29
748=701+47
748=677+71
748=659+89
748=647+101
748=641+107
748=617+131
748=599+149
748=569+179
748=557+191
748=521+227
748=509+239
748=491+257
748=479+269
748=467+281
748=431+317
748=401+347
748=389+359

750=743+7
750=739+11
750=733+17
750=727+23
750=719+31
750=709+41
750=691+59
750=683+67
750=677+73
750=661+89
750=653+97
750=647+103
750=643+107
750=641+109
750=619+131
750=613+137
750=601+149
750=599+151
750=593+157
750=587+163
750=577+173
750=571+179
750=569+181
750=557+193
750=523+227
750=521+229
750=509+241
750=499+251
750=487+263
750=479+271
750=467+283
750=457+293
750=443+307
750=439+311
750=433+317
750=419+331
750=401+349
750=397+353
750=383+367

752=739+13
752=733+19
752=709+43
752=691+61
752=673+79
752=643+109
752=613+139
752=601+151
752=571+181
752=541+211
752=523+229
752=439+313
752=421+331
752=379+373

754=751+3
754=743+11
754=701+53
754=683+71
754=653+101
754=647+107
754=641+113
754=617+137
754=587+167
754=563+191
754=557+197
754=521+233
754=503+251
754=491+263
754=461+293
754=443+311
754=401+353

756=751+5
756=743+13
756=739+17
756=733+23
756=727+29
756=719+37
756=709+47
756=683+73
756=677+79
756=673+83
756=659+97
756=653+103
756=647+109
756=643+113
756=619+137
756=617+139
756=607+149
756=599+157
756=593+163
756=577+179
756=563+193
756=557+199
756=523+233
756=499+257
756=487+269
756=479+277
756=463+293
756=449+307
756=443+313
756=439+317
756=419+337
756=409+347
756=397+359
756=389+367
756=383+373

758=751+7
758=739+19
758=727+31
758=691+67
758=661+97
758=631+127
758=619+139
758=607+151
758=601+157
758=577+181
758=547+211
758=487+271
758=421+337
758=409+349
758=379+379

760=757+3
760=743+17
760=719+41
760=701+59
760=677+83
760=659+101
760=653+107
760=647+113
760=593+167
760=587+173
760=569+191
760=563+197
760=521+239
760=509+251
760=503+257
760=491+269
760=479+281
760=467+293
760=449+311
760=443+317
760=401+359

762=757+5
762=751+11
762=743+19
762=739+23
762=733+29
762=719+43
762=709+53
762=701+61
762=691+71
762=683+79
762=673+89
762=661+101
762=659+103
762=653+109
762=631+131
762=613+149
762=599+163
762=571+191
762=569+193
762=563+199
762=523+239
762=521+241
762=499+263
762=491+271
762=479+283
762=449+313
762=431+331
762=409+353
762=389+373
762=383+379

764=761+3
764=757+7
764=751+13
764=733+31
764=727+37
764=691+73
764=661+103
764=613+151
764=607+157
764=601+163
764=571+193
764=541+223
764=523+241
764=487+277
764=457+307
764=433+331
764=397+367

766=761+5
766=743+23
766=719+47
766=683+83
766=677+89
766=659+107
766=653+113
766=617+149
766=599+167
766=593+173
766=587+179
766=569+197
766=509+257
766=503+263
766=449+317
766=419+347
766=383+383

768=761+7
768=757+11
768=751+17
768=739+29
768=727+41
768=709+59
768=701+67
768=661+107
768=659+109
768=641+127
768=631+137
768=619+149
768=617+151
768=601+167
768=587+181
768=577+191
768=571+197
768=569+199
768=557+211
768=541+227
768=499+269
768=491+277
768=487+281
768=461+307
768=457+311
768=431+337
768=421+347
768=419+349
768=409+359
768=401+367
768=389+379

770=757+13
770=751+19
770=739+31
770=733+37
770=727+43
770=709+61
770=691+79
770=673+97
770=661+109
770=643+127
770=631+139
770=619+151
770=613+157
770=607+163
770=577+193
770=571+199
770=547+223
770=541+229
770=499+271
770=487+283
770=463+307
770=457+313
770=439+331
770=433+337
770=421+349
770=397+373

772=769+3
772=761+11
772=743+29
772=719+53
772=701+71
772=683+89
772=659+113
772=641+131
772=599+173
772=593+179
772=521+251
772=509+263
772=503+269
772=491+281
772=479+293
772=461+311
772=419+353
772=389+383

774=769+5
774=761+13
774=757+17
774=751+23
774=743+31
774=733+41
774=727+47
774=701+73
774=691+83
774=677+97
774=673+101
774=661+113
774=647+127
774=643+131
774=617+157
774=607+167
774=601+173
774=593+181
774=577+197
774=563+211
774=547+227
774=541+233
774=523+251
774=503+271
774=491+283
774=467+307
774=463+311
774=461+313
774=457+317
774=443+331
774=421+353
774=401+373

776=773+3
776=769+7
776=757+19
776=739+37
776=733+43
776=709+67
776=673+103
776=619+157
776=613+163
776=577+199
776=547+229
776=499+277
776=463+313
776=439+337
776=409+367
776=397+379

778=773+5
778=761+17
778=719+59
778=677+101
778=647+131
778=641+137
778=599+179
778=587+191
778=521+257
778=509+269
778=467+311
778=461+317
778=431+347
778=419+359
778=389+389

780=773+7
780=769+11
780=761+19
780=757+23
780=751+29
780=743+37
780=739+41
780=733+47
780=727+53
780=719+61
780=709+71
780=701+79
780=691+89
780=683+97
780=677+103
780=673+107
780=653+127
780=643+137
780=641+139
780=631+149
780=617+163
780=613+167
780=607+173
780=601+179
780=599+181
780=587+193
780=569+211
780=557+223
780=547+233
780=541+239
780=523+257
780=509+271
780=503+277
780=499+281
780=487+293
780=467+313
780=463+317
780=449+331
780=443+337
780=433+347
780=431+349
780=421+359
780=401+379
780=397+383

782=769+13
782=751+31
782=739+43
782=709+73
782=673+109
782=643+139
782=631+151
782=619+163
782=601+181
782=571+211
782=541+241
782=499+283
782=433+349
782=409+373

784=773+11
784=761+23
784=743+41
784=701+83
784=683+101
784=677+107
784=653+131
784=647+137
784=617+167
784=593+191
784=587+197
784=557+227
784=521+263
784=503+281
784=491+293
784=467+317
784=431+353
784=401+383

786=773+13
786=769+17
786=757+29
786=743+43
786=739+47
786=733+53
786=727+59
786=719+67
786=683+103
786=677+109
786=673+113
786=659+127
786=647+139
786=619+167
786=613+173
786=607+179
786=593+193
786=587+199
786=563+223
786=557+229
786=547+239
786=523+263
786=509+277
786=503+283
786=479+307
786=449+337
786=439+347
786=433+353
786=419+367
786=397+389

788=769+19
788=757+31
788=751+37
788=727+61
788=709+79
788=691+97
788=661+127
788=631+157
788=607+181
788=577+211
788=547+241
788=457+331
788=439+349
788=421+367
788=409+379

790=787+3
790=773+17
790=761+29
790=743+47
790=719+71
790=701+89
790=683+107
790=677+113
790=659+131
790=653+137
790=641+149
790=617+173
790=599+191
790=593+197
790=563+227
790=557+233
790=521+269
790=509+281
790=479+311
790=443+347
790=431+359
790=401+389

792=787+5
792=773+19
792=769+23
792=761+31
792=751+41
792=739+53
792=733+59
792=719+73
792=709+83
792=691+101
792=683+109
792=661+131
792=653+139
792=643+149
792=641+151
792=619+173
792=613+179
792=601+191
792=599+193
792=593+199
792=569+223
792=563+229
792=541+251
792=523+269
792=521+271
792=509+283
792=499+293
792=479+313
792=461+331
792=443+349
792=439+353
792=433+359
792=419+373
792=409+383

794=787+7
794=757+37
794=751+43
794=733+61
794=727+67
794=691+103
794=643+151
794=631+163
794=613+181
794=601+193
794=571+223
794=523+271
794=487+307
794=463+331
794=457+337
794=421+373
794=397+397

796=773+23
796=743+53
796=683+113
796=659+137
796=647+149
796=617+179
796=599+197
796=569+227
796=563+233
796=557+239
796=503+293
796=479+317
796=449+347
796=443+353

798=787+11
798=769+29
798=761+37
798=757+41
798=751+47
798=739+59
798=727+71
798=719+79
798=709+89
798=701+97
798=691+107
798=661+137
798=659+139
798=647+151
798=641+157
798=631+167
798=619+179
798=617+181
798=607+191
798=601+197
798=599+199
798=587+211
798=571+227
798=569+229
798=557+241
798=547+251
798=541+257
798=521+277
798=491+307
798=487+311
798=467+331
798=461+337
798=449+349
798=439+359
798=431+367
798=419+379
798=409+389
798=401+397

800=797+3
800=787+13
800=769+31
800=757+43
800=739+61
800=733+67
800=727+73
800=691+109
800=673+127
800=661+139
800=643+157
800=619+181
800=607+193
800=601+199
800=577+223
800=571+229
800=523+277
800=487+313
800=463+337
800=433+367
800=421+379

802=797+5
802=773+29
802=761+41
802=743+59
802=719+83
802=701+101
802=653+149
802=569+233
802=563+239
802=521+281
802=509+293
802=491+311
802=449+353
802=443+359
802=419+383
802=401+401

804=797+7
804=787+17
804=773+31
804=761+43
804=757+47
804=751+53
804=743+61
804=733+71
804=701+103
804=691+113
804=677+127
804=673+131
804=653+151
804=647+157
804=641+163
804=631+173
804=613+191
804=607+197
804=593+211
804=577+227
804=571+233
804=563+241
804=547+257
804=541+263
804=523+281
804=521+283
804=491+313
804=487+317
804=467+337
804=457+347
804=431+373
804=421+383

806=787+19
806=769+37
806=739+67
806=733+73
806=727+79
806=709+97
806=643+163
806=613+193
806=607+199
806=577+229
806=523+283
806=499+307
806=457+349
806=439+367
806=433+373
806=409+397

808=797+11
808=761+47
808=719+89
808=701+107
808=677+131
808=659+149
808=641+167
808=617+191
808=569+239
808=557+251
808=491+317
808=461+347
808=449+359
808=419+389

810=797+13
810=787+23
810=773+37
810=769+41
810=757+53
810=751+59
810=743+67
810=739+71
810=727+83
810=709+101
810=701+109
810=683+127
810=673+137
810=661+149
810=659+151
810=653+157
810=647+163
810=643+167
810=631+179
810=619+191
810=617+193
810=613+197
810=599+211
810=587+223
810=577+233
810=571+239
810=569+241
810=547+263
810=541+269
810=503+307
810=499+311
810=479+331
810=463+347
810=461+349
810=457+353
810=443+367
810=431+379
810=421+389
810=409+401

812=809+3
812=769+43
812=751+61
812=739+73
812=733+79
812=709+103
812=673+139
812=661+151
812=631+181
812=619+193
812=613+199
812=601+211
812=571+241
812=541+271
812=499+313
812=463+349
812=439+373
812=433+379

814=811+3
814=809+5
814=797+17
814=773+41
814=761+53
814=743+71
814=701+113
814=683+131
814=677+137
814=647+167
814=641+173
814=617+197
814=587+227
814=563+251
814=557+257
814=521+293
814=503+311
814=467+347
814=461+353
814=431+383

816=811+5
816=809+7
816=797+19
816=787+29
816=773+43
816=769+47
816=757+59
816=743+73
816=733+83
816=727+89
816=719+97
816=709+107
816=677+139
816=659+157
816=653+163
816=643+173
816=619+197
816=617+199
816=593+223
816=587+229
816=577+239
816=547+269
816=523+293
816=509+307
816=503+313
816=499+317
816=479+337
816=467+349
816=463+353
816=457+359
816=449+367
816=443+373
816=433+383
816=419+397

818=811+7
818=787+31
818=757+61
818=751+67
818=739+79
818=709+109
818=691+127
818=661+157
818=619+199
818=607+211
818=577+241
818=547+271
818=541+277
818=487+331
818=439+379
818=421+397
818=409+409

820=809+11
820=797+23
820=773+47
820=761+59
820=719+101
820=683+137
820=653+167
820=647+173
820=641+179
820=593+227
820=587+233
820=569+251
820=563+257
820=557+263
820=509+311
820=503+317
820=467+353
820=461+359
820=431+389
820=419+401

822=811+11
822=809+13
822=769+53
822=761+61
822=751+71
822=743+79
822=739+83
822=733+89
822=719+103
822=709+113
822=691+131
822=683+139
822=673+149
822=659+163
822=643+179
822=641+181
822=631+191
822=599+223
822=593+229
822=571+251
822=541+281
822=509+313
822=491+331
822=463+359
822=449+373
822=443+379
822=439+383
822=433+389
822=421+401

824=821+3
824=811+13
824=787+37
824=757+67
824=751+73
824=727+97
824=673+151
824=661+163
824=643+181
824=631+193
824=613+211
824=601+223
824=547+277
824=541+283
824=487+337
824=457+367

826=823+3
826=821+5
826=809+17
826=797+29
826=773+53
826=743+83
826=719+107
826=677+149
826=659+167
826=653+173
826=647+179
826=599+227
826=593+233
826=587+239
826=569+257
826=563+263
826=557+269
826=509+317
826=479+347
826=467+359
826=443+383

828=823+5
828=821+7
828=811+17
828=809+19
828=797+31
828=787+41
828=769+59
828=761+67
828=757+71
828=739+89
828=727+101
828=719+109
828=701+127
828=691+137
828=677+151
828=661+167
828=647+181
828=631+197
828=617+211
828=601+227
828=599+229
828=587+241
828=577+251
828=571+257
828=557+271
828=547+281
828=521+307
828=491+337
828=479+349
828=461+367
828=449+379
828=439+389
828=431+397
828=419+409

830=827+3
830=823+7
830=811+19
830=787+43
830=769+61
830=757+73
830=751+79
830=733+97
830=727+103
830=691+139
830=673+157
830=631+199
830=619+211
830=607+223
830=601+229
830=547+283
830=523+307
830=499+331
830=463+367
830=457+373
830=433+397
830=421+409

832=829+3
832=827+5
832=821+11
832=809+23
832=773+59
832=761+71
832=743+89
832=719+113
832=701+131
832=683+149
832=659+173
832=653+179
832=641+191
832=599+233
832=593+239
832=569+263
832=563+269
832=521+311
832=479+353
832=449+383
832=443+389
832=431+401

834=829+5
834=827+7
834=823+11
834=821+13
834=811+23
834=797+37
834=787+47
834=773+61
834=761+73
834=751+83
834=733+101
834=727+107
834=683+151
834=677+157
834=661+173
834=653+181
834=643+191
834=641+193
834=607+227
834=601+233
834=593+241
834=577+257
834=571+263
834=563+271
834=557+277
834=541+293
834=523+311
834=521+313
834=503+331
834=487+347
834=467+367
834=461+373
834=433+401

836=829+7
836=823+13
836=769+67
836=757+79
836=739+97
836=733+103
836=727+109
836=709+127
836=673+163
836=643+193
836=613+223
836=607+229
836=523+313
836=499+337
836=487+349
836=463+373
836=457+379
836=439+397

838=827+11
838=821+17
838=809+29
838=797+41
838=701+137
838=659+179
838=647+191
838=641+197
838=599+239
838=587+251
838=569+269
838=557+281
838=521+317
838=491+347
838=479+359
838=449+389
838=419+419

840=829+11
840=827+13
840=823+17
840=821+19
840=811+29
840=809+31
840=797+43
840=787+53
840=773+67
840=769+71
840=761+79
840=757+83
840=751+89
840=743+97
840=739+101
840=733+107
840=727+113
840=709+131
840=701+139
840=691+149
840=683+157
840=677+163
840=673+167
840=661+179
840=659+181
840=647+193
840=643+197
840=641+199
840=617+223
840=613+227
840=607+233
840=601+239
840=599+241
840=577+263
840=571+269
840=569+271
840=563+277
840=557+283
840=547+293
840=523+317
840=509+331
840=503+337
840=491+349
840=487+353
840=467+373
840=461+379
840=457+383
840=443+397
840=439+401
840=431+409
840=421+419

842=839+3
842=829+13
842=823+19
842=811+31
842=769+73
842=739+103
842=733+109
842=691+151
842=661+181
842=643+199
842=631+211
842=619+223
842=613+229
842=601+241
842=571+271
842=463+379
842=433+409
842=421+421

844=839+5
844=827+17
844=821+23
844=797+47
844=773+71
844=761+83
844=743+101
844=677+167
844=653+191
844=647+197
844=617+227
844=593+251
844=587+257
844=563+281
844=491+353
844=461+383
844=443+401

846=839+7
846=829+17
846=827+19
846=823+23
846=809+37
846=787+59
846=773+73
846=757+89
846=743+103
846=739+107
846=733+113
846=719+127
846=709+137
846=683+163
846=673+173
846=653+193
846=647+199
846=619+227
846=617+229
846=613+233
846=607+239
846=577+269
846=569+277
846=563+283
846=509+337
846=499+347
846=487+359
846=479+367
846=467+379
846=463+383
846=457+389
846=449+397

848=829+19
848=811+37
848=787+61
848=769+79
848=751+97
848=739+109
848=709+139
848=691+157
848=619+229
848=607+241
848=577+271
848=571+277
848=541+307
848=499+349
848=439+409

850=839+11
850=827+23
850=821+29
850=809+41
850=797+53
850=761+89
850=743+107
850=719+131
850=701+149
850=683+167
850=677+173
850=659+191
850=653+197
850=617+233
850=599+251
850=593+257
850=587+263
850=569+281
850=557+293
850=503+347
850=491+359
850=467+383
850=461+389
850=449+401
850=431+419

852=839+13
852=829+23
852=823+29
852=821+31
852=811+41
852=809+43
852=773+79
852=769+83
852=751+101
852=743+109
852=739+113
852=701+151
852=673+179
852=661+191
852=659+193
852=653+199
852=641+211
852=619+233
852=613+239
852=601+251
852=571+281
852=569+283
852=541+311
852=521+331
852=503+349
852=499+353
852=479+373
852=463+389
852=443+409
852=433+419
852=431+421

854=823+31
854=811+43
854=787+67
854=757+97
854=751+103
854=727+127
854=691+163
854=673+181
854=661+193
854=643+211
854=631+223
854=613+241
854=577+277
854=571+283
854=547+307
854=541+313
854=523+331
854=487+367
854=457+397
854=433+421

856=853+3
856=839+17
856=827+29
856=809+47
856=797+59
856=773+83
856=743+113
856=719+137
856=683+173
856=677+179
856=659+197
856=617+239
856=599+257
856=593+263
856=587+269
856=563+293
856=509+347
856=503+353
856=467+389

858=853+5
858=839+19
858=829+29
858=827+31
858=821+37
858=811+47
858=797+61
858=787+71
858=769+89
858=761+97
858=757+101
858=751+107
858=727+131
858=719+139
858=709+149
858=701+157
858=691+167
858=677+181
858=661+197
858=659+199
858=647+211
858=631+227
858=619+239
858=617+241
858=607+251
858=601+257
858=587+271
858=577+281
858=547+311
858=541+317
858=521+337
858=509+349
858=499+359
858=491+367
858=479+379
858=461+397
858=457+401
858=449+409
858=439+419

860=857+3
860=853+7
860=829+31
860=823+37
860=787+73
860=757+103
860=751+109
860=733+127
860=709+151
860=661+199
860=631+229
860=619+241
860=577+283
860=547+313
860=523+337
860=487+373
860=463+397
860=439+421

862=859+3
862=857+5
862=839+23
862=821+41
862=809+53
862=773+89
862=761+101
862=683+179
862=599+263
862=593+269
862=569+293
862=509+353
862=503+359
862=479+383
862=461+401
862=443+419
862=431+431

864=859+5
864=857+7
864=853+11
864=827+37
864=823+41
864=821+43
864=811+53
864=797+67
864=761+103
864=757+107
864=751+113
864=733+131
864=727+137
864=701+163
864=691+173
864=683+181
864=673+191
864=653+211
864=641+223
864=631+233
864=613+251
864=607+257
864=601+263
864=593+271
864=587+277
864=571+293
864=557+307
864=547+317
864=491+373
864=467+397
864=463+401
864=443+421
864=433+431

866=863+3
866=859+7
866=853+13
866=829+37
866=823+43
866=787+79
866=769+97
866=757+109
866=739+127
866=727+139
866=709+157
866=673+193
866=643+223
866=499+367
866=487+379
866=457+409
866=433+433

868=863+5
868=857+11
868=839+29
868=827+41
868=821+47
868=809+59
868=797+71
868=761+107
868=719+149
868=701+167
868=677+191
868=641+227
868=617+251
868=599+269
868=587+281
868=557+311
868=521+347
868=509+359
868=479+389
868=467+401
868=449+419

870=863+7
870=859+11
870=857+13
870=853+17
870=839+31
870=829+41
870=827+43
870=823+47
870=811+59
870=809+61
870=797+73
870=787+83
870=773+97
870=769+101
870=761+109
870=757+113
870=743+127
870=739+131
870=733+137
870=719+151
870=691+179
870=677+193
870=673+197
870=659+211
870=647+223
870=643+227
870=641+229
870=631+239
870=619+251
870=613+257
870=607+263
870=601+269
870=599+271
870=593+277
870=587+283
870=577+293
870=563+307
870=557+313
870=523+347
870=521+349
870=503+367
870=491+379
870=487+383
870=461+409
870=449+421
870=439+431

872=859+13
872=853+19
872=829+43
872=811+61
872=769+103
872=733+139
872=709+163
872=691+181
872=673+199
872=661+211
872=643+229
872=631+241
872=601+271
872=541+331
872=523+349
872=499+373
872=463+409
872=439+433

874=863+11
874=857+17
874=827+47
874=821+53
874=773+101
874=761+113
874=743+131
874=701+173
874=683+191
874=677+197
874=647+227
874=641+233
874=617+257
874=593+281
874=563+311
874=557+317
874=521+353
874=491+383
874=443+431

876=863+13
876=859+17
876=857+19
876=853+23
876=839+37
876=829+47
876=823+53
876=809+67
876=797+79
876=787+89
876=773+103
876=769+107
876=739+137
876=727+149
876=719+157
876=709+167
876=683+193
876=677+199
876=653+223
876=647+229
876=643+233
876=619+257
876=613+263
876=607+269
876=599+277
876=593+283
876=569+307
876=563+313
876=523+353
876=509+367
876=503+373
876=487+389
876=479+397
876=467+409
876=457+419
876=443+433

878=859+19
878=811+67
878=769+109
878=751+127
878=739+139
878=727+151
878=607+271
878=601+277
878=571+307
878=547+331
878=541+337
878=499+379
878=457+421
878=439+439

880=877+3
880=863+17
880=857+23
880=839+41
880=827+53
880=821+59
880=809+71
880=797+83
880=773+107
880=743+137
880=701+179
880=683+197
880=653+227
880=647+233
880=641+239
880=617+263
880=599+281
880=587+293
880=569+311
880=563+317
880=521+359
880=491+389
880=479+401
880=461+419
880=449+431

882=877+5
882=863+19
882=859+23
882=853+29
882=839+43
882=829+53
882=823+59
882=821+61
882=811+71
882=809+73
882=773+109
882=769+113
882=751+131
882=743+139
882=733+149
882=719+163
882=709+173
882=701+181
882=691+191
882=683+199
882=659+223
882=653+229
882=643+239
882=641+241
882=631+251
882=619+263
882=613+269
882=601+281
882=599+283
882=571+311
882=569+313
882=523+359
882=509+373
882=503+379
882=499+383
882=463+419
882=461+421
882=449+433
882=443+439

884=881+3
884=877+7
884=853+31
884=823+61
884=811+73
884=787+97
884=757+127
884=733+151
884=727+157
884=691+193
884=673+211
884=661+223
884=643+241
884=613+271
884=607+277
884=601+283
884=577+307
884=571+313
884=547+337
884=487+397
884=463+421

886=883+3
886=881+5
886=863+23
886=857+29
886=839+47
886=827+59
886=797+89
886=773+113
886=719+167
886=659+227
886=653+233
886=647+239
886=617+269
886=593+293
886=569+317
886=503+383
886=467+419
886=443+443

888=883+5
888=881+7
888=877+11
888=859+29
888=857+31
888=829+59
888=827+61
888=821+67
888=809+79
888=787+101
888=761+127
888=757+131
888=751+137
888=739+149
888=709+179
888=691+197
888=677+211
888=661+227
888=659+229
888=647+241
888=631+257
888=619+269
888=617+271
888=607+281
888=577+311
888=571+317
888=557+331
888=541+347
888=521+367
888=509+379
888=499+389
888=491+397
888=487+401
888=479+409
888=467+421
888=457+431
888=449+439

890=887+3
890=883+7
890=877+13
890=859+31
890=853+37
890=829+61
890=823+67
890=811+79
890=787+103
890=751+139
890=739+151
890=733+157
890=727+163
890=709+181
890=691+199
890=661+229
890=619+271
890=613+277
890=607+283
890=577+313
890=541+349
890=523+367
890=457+433

892=887+5
892=881+11
892=863+29
892=839+53
892=821+71
892=809+83
892=761+131
892=743+149
892=719+173
892=701+191
892=659+233
892=653+239
892=641+251
892=599+293
892=509+383
892=503+389
892=491+401
892=461+431
892=449+443

894=887+7
894=883+11
894=881+13
894=877+17
894=863+31
894=857+37
894=853+41
894=827+67
894=823+71
894=821+73
894=811+83
894=797+97
894=787+107
894=757+137
894=743+151
894=727+167
894=701+193
894=683+211
894=661+233
894=653+241
894=643+251
894=631+263
894=617+277
894=613+281
894=601+293
894=587+307
894=577+317
894=563+331
894=557+337
894=547+347
894=541+353
894=521+373
894=463+431
894=461+433

896=883+13
896=877+19
896=859+37
896=853+43
896=829+67
896=823+73
896=787+109
896=769+127
896=757+139
896=739+157
896=733+163
896=673+223
896=619+277
896=613+283
896=547+349
896=523+373
896=499+397
896=487+409
896=463+433
896=457+439

898=887+11
898=881+17
898=857+41
898=839+59
898=827+71
898=809+89
898=797+101
898=761+137
898=719+179
898=701+197
898=659+239
898=647+251
898=641+257
898=617+281
898=587+311
898=509+389
898=479+419
898=467+431
898=449+449

900=887+13
900=883+17
900=881+19
900=877+23
900=863+37
900=859+41
900=857+43
900=853+47
900=839+61
900=829+71
900=827+73
900=821+79
900=811+89
900=797+103
900=787+113
900=773+127
900=769+131
900=761+139
900=751+149
900=743+157
900=733+167
900=727+173
900=719+181
900=709+191
900=701+199
900=677+223
900=673+227
900=661+239
900=659+241
900=643+257
900=631+269
900=619+281
900=617+283
900=607+293
900=593+307
900=587+313
900=569+331
900=563+337
900=547+353
900=541+359
900=521+379
900=503+397
900=499+401
900=491+409
900=479+421
900=467+433
900=461+439
900=457+443

902=883+19
902=859+43
902=829+73
902=823+79
902=751+151
902=739+163
902=709+193
902=691+211
902=673+229
902=661+241
902=631+271
902=619+283
902=571+331
902=523+379
902=463+439

904=887+17
904=881+23
904=863+41
904=857+47
904=821+83
904=797+107
904=773+131
904=677+227
904=653+251
904=647+257
904=641+263
904=593+311
904=587+317
904=557+347
904=521+383
904=503+401
904=461+443

906=887+19
906=883+23
906=877+29
906=863+43
906=859+47
906=853+53
906=839+67
906=827+79
906=823+83
906=809+97
906=797+109
906=769+137
906=757+149
906=743+163
906=739+167
906=733+173
906=727+179
906=709+197
906=683+223
906=677+229
906=673+233
906=643+263
906=613+293
906=599+307
906=593+313
906=569+337
906=557+349
906=547+359
906=523+383
906=509+397
906=487+419
906=467+439
906=463+443
906=457+449

908=877+31
908=829+79
908=811+97
908=769+139
908=757+151
908=751+157
908=727+181
908=709+199
908=631+277
908=601+307
908=577+331
908=571+337
908=541+367
908=499+409
908=487+421

910=907+3
910=887+23
910=881+29
910=863+47
910=857+53
910=839+71
910=827+83
910=821+89
910=809+101
910=797+113
910=773+137
910=761+149
910=743+167
910=719+191
910=683+227
910=677+233
910=659+251
910=653+257
910=647+263
910=641+269
910=617+293
910=599+311
910=593+317
910=563+347
910=557+353
910=521+389
910=509+401
910=491+419
910=479+431
910=467+443
910=461+449

912=907+5
912=883+29
912=881+31
912=859+53
912=853+59
912=839+73
912=829+83
912=823+89
912=811+101
912=809+103
912=773+139
912=761+151
912=739+173
912=733+179
912=719+193
912=701+211
912=683+229
912=673+239
912=661+251
912=643+269
912=641+271
912=631+281
912=619+293
912=601+311
912=599+313
912=563+349
912=523+389
912=503+409
912=491+421
912=479+433
912=463+449

914=911+3
914=907+7
914=883+31
914=877+37
914=853+61
914=811+103
914=787+127
914=757+157
914=751+163
914=733+181
914=691+223
914=673+241
914=643+271
914=631+283
914=607+307
914=601+313
914=577+337
914=547+367
914=541+373
914=457+457

916=911+5
916=887+29
916=863+53
916=857+59
916=827+89
916=809+107
916=743+173
916=719+197
916=683+233
916=677+239
916=659+257
916=653+263
916=647+269
916=599+317
916=569+347
916=563+353
916=557+359
916=467+449

918=911+7
918=907+11
918=887+31
918=881+37
918=877+41
918=859+59
918=857+61
918=839+79
918=829+89
918=821+97
918=811+107
918=809+109
918=787+131
918=769+149
918=761+157
918=751+167
918=739+179
918=727+191
918=719+199
918=691+227
918=677+241
918=661+257
918=647+271
918=641+277
918=607+311
918=601+317
918=587+331
918=571+347
918=569+349
918=521+397
918=509+409
918=499+419
918=487+431
918=479+439
918=461+457

920=907+13
920=883+37
920=877+43
920=859+61
920=853+67
920=823+97
920=811+109
920=769+151
920=757+163
920=739+181
920=727+193
920=709+211
920=691+229
920=643+277
920=613+307
920=607+313
920=571+349
920=547+373
920=541+379
920=523+397
920=499+421
920=487+433
920=463+457

922=919+3
922=911+11
922=881+41
922=863+59
922=839+83
922=821+101
922=809+113
922=773+149
922=743+179
922=683+239
922=659+263
922=653+269
922=641+281
922=569+353
922=563+359
922=521+401
922=503+419
922=491+431
922=479+443
922=461+461

924=919+5
924=911+13
924=907+17
924=887+37
924=883+41
924=881+43
924=877+47
924=863+61
924=857+67
924=853+71
924=827+97
924=823+101
924=821+103
924=811+113
924=797+127
924=787+137
924=773+151
924=761+163
924=757+167
924=751+173
924=743+181
924=733+191
924=727+197
924=701+223
924=691+233
924=683+241
924=673+251
924=661+263
924=653+271
924=647+277
924=643+281
924=641+283
924=631+293
924=617+307
924=613+311
924=607+317
924=593+331
924=587+337
924=577+347
924=571+353
924=557+367
924=541+383
924=523+401
924=503+421
924=491+433
924=467+457
924=463+461

926=919+7
926=907+19
926=883+43
926=859+67
926=853+73
926=829+97
926=823+103
926=787+139
926=769+157
926=733+193
926=727+199
926=643+283
926=619+307
926=613+313
926=577+349
926=547+379
926=487+439
926=463+463

928=911+17
928=887+41
928=881+47
928=857+71
928=839+89
928=827+101
928=821+107
928=797+131
928=761+167
928=701+227
928=677+251
928=659+269
928=647+281
928=617+311
928=569+359
928=509+419
928=479+449
928=467+461

930=919+11
930=911+19
930=907+23
930=887+43
930=883+47
930=877+53
930=863+67
930=859+71
930=857+73
930=829+101
930=827+103
930=823+107
930=821+109
930=773+157
930=757+173
930=751+179
930=739+191
930=733+197
930=719+211
930=701+229
930=691+239
930=673+257
930=661+269
930=659+271
930=653+277
930=647+283
930=619+311
930=617+313
930=613+317
930=599+331
930=593+337
930=577+353
930=571+359
930=563+367
930=557+373
930=547+383
930=541+389
930=521+409
930=509+421
930=499+431
930=491+439
930=487+443
930=467+463

932=929+3
932=919+13
932=859+73
932=853+79
932=829+103
932=823+109
932=769+163
932=751+181
932=739+193
932=733+199
932=709+223
932=691+241
932=661+271
932=619+313
932=601+331
932=523+409
932=499+433

934=929+5
934=911+23
934=887+47
934=881+53
934=863+71
934=827+107
934=821+113
934=797+137
934=761+173
934=743+191
934=701+233
934=683+251
934=677+257
934=653+281
934=641+293
934=617+317
934=587+347
934=503+431
934=491+443
934=467+467

936=929+7
936=919+17
936=907+29
936=883+53
936=877+59
936=863+73
936=857+79
936=853+83
936=839+97
936=829+107
936=827+109
936=823+113
936=809+127
936=797+139
936=787+149
936=773+163
936=769+167
936=757+179
936=743+193
936=739+197
936=709+227
936=673+263
936=659+277
936=653+283
936=643+293
936=619+317
936=599+337
936=587+349
936=577+359
936=569+367
936=563+373
936=557+379
936=547+389
936=503+433
936=487+449
936=479+457

938=919+19
938=907+31
938=877+61
938=859+79
938=829+109
938=811+127
938=787+151
938=757+181
938=739+199
938=727+211
938=709+229
938=661+277
938=631+307
938=607+331
938=601+337
938=571+367
938=541+397
938=499+439

940=937+3
940=929+11
940=911+29
940=887+53
940=881+59
940=857+83
940=839+101
940=827+113
940=809+131
940=773+167
940=761+179
940=743+197
940=701+239
940=683+257
940=677+263
940=659+281
940=647+293
940=593+347
940=587+353
940=557+383
940=521+419
940=509+431
940=491+449
940=479+461

942=937+5
942=929+13
942=919+23
942=911+31
942=883+59
942=881+61
942=863+79
942=859+83
942=853+89
942=839+103
942=829+113
942=811+131
942=769+173
942=761+181
942=751+191
942=743+199
942=719+223
942=709+233
942=701+241
942=691+251
942=673+269
942=661+281
942=659+283
942=631+311
942=593+349
942=569+373
942=563+379
942=541+401
942=523+419
942=521+421
942=509+433
942=503+439
942=499+443
942=479+463

944=941+3
944=937+7
944=907+37
944=883+61
944=877+67
944=787+157
944=751+193
944=733+211
944=673+271
944=661+283
944=631+313
944=613+331
944=607+337
944=577+367
944=571+373
944=547+397
944=523+421
944=487+457

946=941+5
946=929+17
946=887+59
946=863+83
946=857+89
946=839+107
946=809+137
946=797+149
946=773+173
946=719+227
946=683+263
946=677+269
946=653+293
946=599+347
946=593+353
946=587+359
946=563+383
946=557+389
946=503+443
946=479+467

948=941+7
948=937+11
948=929+19
948=919+29
948=911+37
948=907+41
948=887+61
948=881+67
948=877+71
948=859+89
948=839+109
948=821+127
948=811+137
948=809+139
948=797+151
948=769+179
948=757+191
948=751+197
948=719+229
948=709+239
948=691+257
948=677+271
948=641+307
948=631+317
948=617+331
948=601+347
948=599+349
948=569+379
948=547+401
948=509+439
948=499+449
948=491+457
948=487+461

950=947+3
950=937+13
950=919+31
950=907+43
950=883+67
950=877+73
950=853+97
950=823+127
950=811+139
950=787+163
950=769+181
950=757+193
950=751+199
950=739+211
950=727+223
950=709+241
950=673+277
950=643+307
950=619+331
950=613+337
950=601+349
950=577+373
950=571+379
950=541+409
950=487+463

952=947+5
952=941+11
952=929+23
952=911+41
952=881+71
952=863+89
952=839+113
952=821+131
952=773+179
952=761+191
952=719+233
952=701+251
952=683+269
952=659+293
952=641+311
952=599+353
952=593+359
952=569+383
952=563+389
952=521+431
952=509+443
952=503+449
952=491+461

954=947+7
954=941+13
954=937+17
954=911+43
954=907+47
954=887+67
954=883+71
954=881+73
954=857+97
954=853+101
954=827+127
954=823+131
954=797+157
954=787+167
954=773+181
954=761+193
954=757+197
954=743+211
954=727+227
954=691+263
954=683+271
954=677+277
954=673+281
954=661+293
954=647+307
954=643+311
954=641+313
954=617+337
954=607+347
954=601+353
954=587+367
954=571+383
954=557+397
954=523+431
954=521+433
954=491+463
954=487+467

956=953+3
956=937+19
956=919+37
956=883+73
956=877+79
956=859+97
956=853+103
956=829+127
956=757+199
956=733+223
956=727+229
956=673+283
956=643+313
956=619+337
956=607+349
956=577+379
956=547+409
956=523+433
956=499+457

958=953+5
958=947+11
958=941+17
958=929+29
958=911+47
958=887+71
958=857+101
958=827+131
958=821+137
958=809+149
958=761+197
958=719+239
958=701+257
958=677+281
958=647+311
958=641+317
958=599+359
958=569+389
958=557+401
958=509+449
958=491+467
958=479+479

960=953+7
960=947+13
960=941+19
960=937+23
960=929+31
960=919+41
960=907+53
960=887+73
960=881+79
960=877+83
960=863+97
960=859+101
960=857+103
960=853+107
960=829+131
960=823+137
960=821+139
960=811+149
960=809+151
960=797+163
960=787+173
960=769+191
960=761+199
960=733+227
960=727+233
960=719+241
960=709+251
960=691+269
960=683+277
960=677+283
960=653+307
960=647+313
960=643+317
960=613+347
960=607+353
960=601+359
960=593+367
960=587+373
960=577+383
960=571+389
960=563+397
960=541+419
960=521+439
960=503+457
960=499+461

962=919+43
962=883+79
962=859+103
962=853+109
962=823+139
962=811+151
962=769+193
962=751+211
962=739+223
962=733+229
962=691+271
962=631+331
962=613+349
962=541+421
962=523+439
962=499+463

964=953+11
964=947+17
964=941+23
964=911+53
964=881+83
964=863+101
964=857+107
964=827+137
964=797+167
964=773+191
964=701+263
964=683+281
964=653+311
964=647+317
964=617+347
964=563+401
964=521+443
964=503+461

966=953+13
966=947+19
966=937+29
966=929+37
966=919+47
966=907+59
966=887+79
966=883+83
966=877+89
966=863+103
966=859+107
966=857+109
966=853+113
966=839+127
966=829+137
966=827+139
966=809+157
966=787+179
966=773+193
966=769+197
966=743+223
966=739+227
966=733+233
966=727+239
966=709+257
966=683+283
966=673+293
966=659+307
966=653+313
966=619+347
966=617+349
966=613+353
966=607+359
966=599+367
966=593+373
966=587+379
966=577+389
966=569+397
966=557+409
966=547+419
966=523+443
966=509+457
966=503+463
966=499+467
966=487+479

968=937+31
968=907+61
968=859+109
968=829+139
968=811+157
968=787+181
968=769+199
968=757+211
968=739+229
968=727+241
968=691+277
968=661+307
968=631+337
968=619+349
968=601+367
968=571+397
968=547+421

970=967+3
970=953+17
970=947+23
970=941+29
970=929+41
970=911+59
970=887+83
970=881+89
970=863+107
970=857+113
970=839+131
970=821+149
970=797+173
970=773+197
970=743+227
970=719+251
970=701+269
970=677+293
970=659+311
970=653+317
970=617+353
970=587+383
970=569+401
970=521+449
970=509+461
970=503+467
970=491+479

972=967+5
972=953+19
972=941+31
972=929+43
972=919+53
972=911+61
972=883+89
972=863+109
972=859+113
972=823+149
972=821+151
972=809+163
972=773+199
972=761+211
972=743+229
972=739+233
972=733+239
972=709+263
972=701+271
972=691+281
972=661+311
972=659+313
972=641+331
972=619+353
972=613+359
972=599+373
972=593+379
972=571+401
972=563+409
972=541+431
972=523+449
972=509+463

974=971+3
974=967+7
974=937+37
974=907+67
974=877+97
974=823+151
974=811+163
974=751+223
974=733+241
974=691+283
974=661+313
974=643+331
974=607+367
974=601+373
974=577+397
974=541+433
974=487+487

976=971+5
976=953+23
976=947+29
976=929+47
976=887+89
976=863+113
976=839+137
976=827+149
976=809+167
976=797+179
976=743+233
976=719+257
976=683+293
976=659+317
976=617+359
976=593+383
976=587+389
976=557+419
976=509+467

978=971+7
978=967+11
978=947+31
978=941+37
978=937+41
978=919+59
978=911+67
978=907+71
978=881+97
978=877+101
978=839+139
978=829+149
978=827+151
978=821+157
978=811+167
978=797+181
978=787+191
978=751+227
978=739+239
978=727+251
978=709+269
978=701+277
978=661+317
978=647+331
978=641+337
978=631+347
978=619+359
978=599+379
978=577+401
978=569+409
978=557+421
978=547+431
978=521+457
978=499+479
978=491+487

980=977+3
980=967+13
980=937+43
980=919+61
980=907+73
980=883+97
980=877+103
980=853+127
980=829+151
980=823+157
980=787+193
980=769+211
980=757+223
980=751+229
980=739+241
980=709+271
980=673+307
980=643+337
980=631+349
980=613+367
980=607+373
980=601+379
980=571+409
980=547+433
980=541+439
980=523+457

982=977+5
982=971+11
982=953+29
982=941+41
982=929+53
982=911+71
982=881+101
982=809+173
982=743+239
982=719+263
982=701+281
982=599+383
982=593+389
982=563+419
982=521+461
982=503+479
982=491+491

984=977+7
984=971+13
984=967+17
984=953+31
984=947+37
984=941+43
984=937+47
984=911+73
984=887+97
984=883+101
984=881+103
984=877+107
984=857+127
984=853+131
984=827+157
984=821+163
984=811+173
984=787+197
984=773+211
984=761+223
984=757+227
984=751+233
984=743+241
984=733+251
984=727+257
984=701+283
984=691+293
984=677+307
984=673+311
984=653+331
984=647+337
984=631+353
984=617+367
984=601+383
984=587+397
984=563+421
984=541+443
984=523+461
984=521+463

986=983+3
986=967+19
986=919+67
986=907+79
986=883+103
986=877+109
986=859+127
986=829+157
986=823+163
986=787+199
986=757+229
986=709+277
986=673+313
986=619+367
986=613+373
986=607+379
986=577+409
986=547+439
986=523+463
986=499+487

988=983+5
988=977+11
988=971+17
988=947+41
988=941+47
988=929+59
988=887+101
988=881+107
988=857+131
988=839+149
988=821+167
988=809+179
988=797+191
988=761+227
988=719+269
988=677+311
988=641+347
988=599+389
988=587+401
988=569+419
988=557+431
988=521+467
988=509+479

990=983+7
990=977+13
990=971+19
990=967+23
990=953+37
990=947+43
990=937+53
990=929+61
990=919+71
990=911+79
990=907+83
990=887+103
990=883+107
990=881+109
990=877+113
990=863+127
990=859+131
990=853+137
990=839+151
990=827+163
990=823+167
990=811+179
990=809+181
990=797+193
990=761+229
990=757+233
990=751+239
990=739+251
990=733+257
990=727+263
990=719+271
990=709+281
990=683+307
990=677+313
990=673+317
990=659+331
990=653+337
990=643+347
990=641+349
990=631+359
990=617+373
990=607+383
990=601+389
990=593+397
990=571+419
990=569+421
990=557+433
990=547+443
990=541+449
990=523+467
990=503+487
990=499+491

992=919+73
992=883+109
992=853+139
992=829+163
992=811+181
992=769+223
992=751+241
992=709+283
992=661+331
992=643+349
992=619+373
992=613+379
992=571+421

994=991+3
994=983+11
994=977+17
994=971+23
994=953+41
994=947+47
994=941+53
994=911+83
994=887+107
994=881+113
994=863+131
994=857+137
994=827+167
994=821+173
994=797+197
994=761+233
994=743+251
994=701+293
994=683+311
994=677+317
994=647+347
994=641+353
994=593+401
994=563+431
994=503+491

996=991+5
996=983+13
996=977+19
996=967+29
996=953+43
996=937+59
996=929+67
996=907+89
996=887+109
996=883+113
996=859+137
996=857+139
996=839+157
996=829+167
996=823+173
996=797+199
996=773+223
996=769+227
996=757+239
996=739+257
996=733+263
996=727+269
996=719+277
996=683+313
996=659+337
996=647+349
996=643+353
996=617+379
996=613+383
996=607+389
996=599+397
996=587+409
996=577+419
996=563+433
996=557+439
996=547+449
996=509+487

998=991+7
998=967+31
998=937+61
998=919+79
998=859+139
998=787+211
998=769+229
998=757+241
998=727+271
998=691+307
998=661+337
998=631+367
998=619+379
998=601+397
998=577+421
998=541+457
998=499+499

1000=997+3
1000=983+17
1000=977+23
1000=971+29
1000=953+47
1000=947+53
1000=941+59
1000=929+71
1000=911+89
1000=887+113
1000=863+137
1000=827+173
1000=821+179
1000=809+191
1000=773+227
1000=761+239
1000=743+257
1000=719+281
1000=683+317
1000=653+347
1000=647+353
1000=641+359
1000=617+383
1000=599+401
1000=569+431
1000=557+443
1000=521+479
1000=509+491

2016-07-18-16-06 start
Previous section even=PrimeA+PrimeB
one example is even 20
20=17+3
20=13+7
From these two equalities, we say
even 20 meet prime 3,7,13,17. Record as
20: 3,7,13,17,

Other primes 5,11 are not in meet list. Because
even20 - prime5 = 15 not another prime
even20 - prime11=  9 not another prime

<a name="docA009">
To produce even meet prime list, goto
http://freeman2.com/prime_e1.htm
In Box41 fill in even 6 to 1000
2016-07-18-16-13 cannon shock
check Output 1,2,3,4? 1  then click
output to Box42 the following

output summet[1].length=498
First half is even number: meet prime number list.
Second half is even number: meet prime ID list. primeArr[ID=1]=prime 3
6: 3,
8: 3,5,
10: 3,5,5,7,
12: 5,7,
14: 3,7,7,11,
16: 3,5,11,13,
18: 5,7,11,13,
20: 3,7,13,17,
22: 3,5,11,11,17,19,
24: 5,7,11,13,17,19,
26: 3,7,13,13,19,23,
28: 5,11,17,23,
30: 7,11,13,17,19,23,
32: 3,13,19,29,
34: 3,5,11,17,17,23,29,31,
36: 5,7,13,17,19,23,29,31,
38: 7,19,19,31,
40: 3,11,17,23,29,37,
42: 5,11,13,19,23,29,31,37,
44: 3,7,13,31,37,41,
46: 3,5,17,23,23,29,41,43,
48: 5,7,11,17,19,29,31,37,41,43,
50: 3,7,13,19,31,37,43,47,
52: 5,11,23,29,41,47,
54: 7,11,13,17,23,31,37,41,43,47,
56: 3,13,19,37,43,53,
58: 5,11,17,29,29,41,47,53,
60: 7,13,17,19,23,29,31,37,41,43,47,53,
62: 3,19,31,31,43,59,
64: 3,5,11,17,23,41,47,53,59,61,
66: 5,7,13,19,23,29,37,43,47,53,59,61,
68: 7,31,37,61,
70: 3,11,17,23,29,41,47,53,59,67,
72: 5,11,13,19,29,31,41,43,53,59,61,67,
74: 3,7,13,31,37,37,43,61,67,71,
76: 3,5,17,23,29,47,53,59,71,73,
78: 5,7,11,17,19,31,37,41,47,59,61,67,71,73,
80: 7,13,19,37,43,61,67,73,
82: 3,11,23,29,41,41,53,59,71,79,
84: 5,11,13,17,23,31,37,41,43,47,53,61,67,71,73,79,
86: 3,7,13,19,43,43,67,73,79,83,
88: 5,17,29,41,47,59,71,83,
90: 7,11,17,19,23,29,31,37,43,47,53,59,61,67,71,73,79,83,
92: 3,13,19,31,61,73,79,89,
94: 5,11,23,41,47,47,53,71,83,89,
96: 7,13,17,23,29,37,43,53,59,67,73,79,83,89,
98: 19,31,37,61,67,79,
100: 3,11,17,29,41,47,53,59,71,83,89,97,
102: 5,13,19,23,29,31,41,43,59,61,71,73,79,83,89,97,
104: 3,7,31,37,43,61,67,73,97,101,
106: 3,5,17,23,47,53,53,59,83,89,101,103,
108: 5,7,11,19,29,37,41,47,61,67,71,79,89,97,101,103,
110: 3,7,13,31,37,43,67,73,79,97,103,107,
112: 3,5,11,23,29,41,53,59,71,83,89,101,107,109,
114: 5,7,11,13,17,31,41,43,47,53,61,67,71,73,83,97,101,103,107,109,
116: 3,7,13,19,37,43,73,79,97,103,109,113,
118: 5,11,17,29,47,59,59,71,89,101,107,113,
120: 7,11,13,17,19,23,31,37,41,47,53,59,61,67,73,79,83,89,97,101,103,107,109,113,
122: 13,19,43,61,61,79,103,109,
124: 11,17,23,41,53,71,83,101,107,113,
126: 13,17,19,23,29,37,43,47,53,59,67,73,79,83,89,97,103,107,109,113,
128: 19,31,61,67,97,109,
130: 3,17,23,29,41,47,59,71,83,89,101,107,113,127,
132: 5,19,23,29,31,43,53,59,61,71,73,79,89,101,103,109,113,127,
134: 3,7,31,37,61,67,67,73,97,103,127,131,
136: 5,23,29,47,53,83,89,107,113,131,
138: 7,11,29,31,37,41,59,67,71,79,97,101,107,109,127,131,
140: 3,13,31,37,43,61,67,73,79,97,103,109,127,137,
142: 3,5,11,29,41,53,59,71,71,83,89,101,113,131,137,139,
144: 5,7,13,17,31,37,41,43,47,61,71,73,83,97,101,103,107,113,127,131,137,139,
146: 7,19,37,43,67,73,73,79,103,109,127,139,
148: 11,17,41,47,59,89,101,107,131,137,
150: 11,13,19,23,37,41,43,47,53,61,67,71,79,83,89,97,103,107,109,113,127,131,137,139,
152: 3,13,43,73,79,109,139,149,
154: 3,5,17,23,41,47,53,71,83,101,107,113,131,137,149,151,
156: 5,7,17,19,29,43,47,53,59,67,73,83,89,97,103,109,113,127,137,139,149,151,
158: 7,19,31,61,79,79,97,127,139,151,
160: 3,11,23,29,47,53,59,71,89,101,107,113,131,137,149,157,
162: 5,11,13,23,31,53,59,61,73,79,83,89,101,103,109,131,139,149,151,157,
164: 7,13,37,61,67,97,103,127,151,157,
166: 3,17,29,53,59,83,83,107,113,137,149,163,
168: 5,11,17,19,29,31,37,41,59,61,67,71,79,89,97,101,107,109,127,131,137,139,149,151,157,163,
170: 3,7,13,19,31,43,61,67,73,97,103,109,127,139,151,157,163,167,
172: 5,23,41,59,71,83,89,101,113,131,149,167,
174: 7,11,17,23,37,43,47,61,67,71,73,101,103,107,113,127,131,137,151,157,163,167,
176: 3,13,19,37,67,73,79,97,103,109,139,157,163,173,
178: 5,11,29,41,47,71,89,89,107,131,137,149,167,173,
180: 7,13,17,23,29,31,41,43,53,67,71,73,79,83,97,101,107,109,113,127,137,139,149,151,157,163,167,173,
182: 3,19,31,43,73,79,103,109,139,151,163,179,
184: 3,5,11,17,47,53,71,83,101,113,131,137,167,173,179,181,
186: 5,7,13,19,23,29,37,47,59,73,79,83,89,97,103,107,113,127,139,149,157,163,167,173,179,181,
188: 7,31,37,61,79,109,127,151,157,181,
190: 11,17,23,41,53,59,83,89,101,107,131,137,149,167,173,179,
192: 11,13,19,29,41,43,53,61,79,83,89,103,109,113,131,139,149,151,163,173,179,181,
194: 3,13,31,37,43,67,97,97,127,151,157,163,181,191,
196: 3,5,17,23,29,47,59,83,89,107,113,137,149,167,173,179,191,193,
198: 5,7,17,19,31,41,47,59,61,67,71,89,97,101,109,127,131,137,139,151,157,167,179,181,191,193,
200: 3,7,19,37,43,61,73,97,103,127,139,157,163,181,193,197,
202: 3,5,11,23,29,53,71,89,101,101,113,131,149,173,179,191,197,199,
204: 5,7,11,13,23,31,37,41,47,53,67,73,97,101,103,107,131,137,151,157,163,167,173,181,191,193,197,199,
206: 7,13,43,67,79,97,103,103,109,127,139,163,193,199,
208: 11,17,29,41,59,71,101,107,137,149,167,179,191,197,
210: 11,13,17,19,29,31,37,43,47,53,59,61,71,73,79,83,97,101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,191,193,197,199,
212: 13,19,31,61,73,103,109,139,151,181,193,199,
214: 3,17,23,41,47,83,101,107,107,113,131,167,173,191,197,211,
216: 5,17,19,23,37,43,53,59,67,79,89,103,107,109,113,127,137,149,157,163,173,179,193,197,199,211,
218: 7,19,37,61,67,79,109,109,139,151,157,181,199,211,
220: 23,29,41,47,53,71,83,89,107,113,131,137,149,167,173,179,191,197,
222: 11,23,29,31,41,43,59,71,73,83,109,113,139,149,151,163,179,181,191,193,199,211,
224: 13,31,43,61,67,73,97,127,151,157,163,181,193,211,
226: 3,29,47,53,59,89,113,113,137,167,173,179,197,223,
228: 5,17,29,31,37,47,61,71,79,89,97,101,127,131,139,149,157,167,181,191,197,199,211,223,
230: 3,7,19,31,37,67,73,79,103,127,151,157,163,193,199,211,223,227,
232: 3,5,41,53,59,83,101,131,149,173,179,191,227,229,
234: 5,7,11,23,37,41,43,53,61,67,71,83,97,103,107,127,131,137,151,163,167,173,181,191,193,197,211,223,227,229,
236: 3,7,13,37,43,73,79,97,109,127,139,157,163,193,199,223,229,233,
238: 5,11,41,47,59,71,89,101,107,131,137,149,167,179,191,197,227,233,
240: 7,11,13,17,29,41,43,47,59,61,67,73,83,89,101,103,109,113,127,131,137,139,151,157,167,173,179,181,193,197,199,211,223,227,229,233,
242: 3,13,19,31,43,61,79,103,139,163,181,199,211,223,229,239,
244: 3,5,11,17,47,53,71,107,113,131,137,173,191,197,227,233,239,241,
246: 5,7,13,17,19,23,47,53,67,73,79,83,89,97,107,109,137,139,149,157,163,167,173,179,193,199,223,227,229,233,239,241,
248: 7,19,37,67,97,109,139,151,181,211,229,241,
250: 11,17,23,53,59,71,83,101,113,137,149,167,179,191,197,227,233,239,
252: 11,13,19,23,29,41,53,59,61,71,73,79,89,101,103,113,139,149,151,163,173,179,181,191,193,199,211,223,229,233,239,241,
254: 3,13,31,43,61,73,97,103,127,127,151,157,181,193,211,223,241,251,
256: 5,17,23,29,59,83,89,107,149,167,173,197,227,233,239,251,
258: 7,17,19,29,31,47,59,61,67,79,101,107,109,127,131,149,151,157,179,191,197,199,211,227,229,239,241,251,
260: 3,19,31,37,61,67,79,97,103,109,151,157,163,181,193,199,223,229,241,257,
262: 5,11,23,29,71,83,89,113,131,131,149,173,179,191,233,239,251,257,
264: 7,13,23,31,37,41,53,67,71,73,83,97,101,107,113,127,137,151,157,163,167,181,191,193,197,211,223,227,233,241,251,257,
266: 3,37,43,67,73,103,109,127,139,157,163,193,199,223,229,263,
268: 5,11,17,29,41,71,89,101,131,137,167,179,197,227,239,251,257,263,
270: 7,13,19,29,31,37,41,43,47,59,71,73,79,89,97,103,107,113,131,139,157,163,167,173,181,191,197,199,211,223,227,229,233,239,241,251,257,263,
272: 3,31,43,61,73,79,109,163,193,199,211,229,241,269,
274: 3,5,11,17,23,41,47,83,101,107,137,137,167,173,191,227,233,251,257,263,269,271,
276: 5,7,13,19,37,43,47,53,79,83,97,103,109,113,127,137,139,149,163,167,173,179,193,197,223,229,233,239,257,263,269,271,
278: 7,37,67,79,97,127,139,139,151,181,199,211,241,271,
280: 3,11,17,23,29,41,47,53,83,89,101,107,113,131,149,167,173,179,191,197,227,233,239,251,257,263,269,277,
282: 5,11,13,19,31,41,43,53,59,71,83,89,101,103,109,131,151,173,179,181,193,199,211,223,229,239,241,251,263,269,271,277,
284: 3,7,13,43,61,73,103,127,157,181,211,223,241,271,277,281,
286: 3,5,17,23,29,47,53,59,89,107,113,137,149,173,179,197,227,233,239,257,263,269,281,283,
288: 5,7,11,17,19,31,37,47,59,61,89,97,107,109,131,137,139,149,151,157,179,181,191,199,227,229,241,251,257,269,271,277,281,283,
290: 7,13,19,61,67,79,97,109,127,139,151,163,181,193,211,223,229,271,277,283,
292: 11,23,29,41,53,59,101,113,179,191,233,239,251,263,269,281,
294: 11,13,17,23,31,37,43,53,61,67,71,83,97,101,103,113,127,131,137,157,163,167,181,191,193,197,211,223,227,233,241,251,257,263,271,277,281,283,
296: 3,13,19,67,73,97,103,139,157,193,199,223,229,277,283,293,
298: 5,17,29,41,47,59,71,101,107,131,149,149,167,191,197,227,239,251,257,269,281,293,
300: 7,17,19,23,29,31,37,43,59,61,67,71,73,89,101,103,107,109,127,137,149,151,163,173,191,193,197,199,211,227,229,233,239,241,257,263,269,271,277,281,283,293,
302: 19,31,61,73,79,103,109,139,151,151,163,193,199,223,229,241,271,283,
304: 11,23,41,47,53,71,107,113,131,137,167,173,191,197,233,251,257,263,281,293,
306: 13,23,29,37,43,67,73,79,83,107,109,113,127,139,149,157,167,179,193,197,199,223,227,233,239,263,269,277,283,293,
308: 31,37,67,79,97,109,127,151,157,181,199,211,229,241,271,277,
310: 3,17,29,41,47,53,59,71,83,113,131,137,173,179,197,227,239,251,257,263,269,281,293,307,
312: 5,19,29,31,41,43,61,71,73,79,83,89,101,113,131,139,149,163,173,181,199,211,223,229,233,239,241,251,269,271,281,283,293,307,
314: 3,7,31,37,43,73,103,151,157,157,163,211,241,271,277,283,307,311,
316: 3,5,23,47,53,59,83,89,137,149,167,179,227,233,257,263,269,293,311,313,
318: 5,7,11,37,41,47,61,67,79,89,107,127,137,139,151,167,179,181,191,211,229,239,251,257,271,277,281,307,311,313,
320: 3,7,13,37,43,79,97,109,127,139,157,163,181,193,211,223,241,277,283,307,313,317,
322: 5,11,29,41,53,59,71,83,89,131,149,173,191,233,239,251,263,269,281,293,311,317,
324: 7,11,13,17,31,41,43,47,53,61,67,73,83,97,101,113,127,131,151,157,167,173,193,197,211,223,227,241,251,257,263,271,277,281,283,293,307,311,313,317,
326: 13,19,43,97,103,127,163,163,199,223,229,283,307,313,
328: 11,17,47,59,71,89,101,131,137,149,179,191,197,227,239,257,269,281,311,317,
330: 13,17,19,23,37,47,53,59,61,67,73,79,89,97,101,103,107,131,137,139,149,151,157,163,167,173,179,181,191,193,199,223,227,229,233,241,251,257,263,269,271,277,283,293,307,311,313,317,
332: 19,61,103,109,139,151,181,193,223,229,271,313,
334: 3,17,23,41,53,71,83,101,107,137,167,167,197,227,233,251,263,281,293,311,317,331,
336: 5,19,23,29,43,53,59,67,73,79,97,103,107,109,113,137,139,157,163,173,179,197,199,223,227,229,233,239,257,263,269,277,283,293,307,313,317,331,
338: 7,31,61,67,97,109,127,139,157,181,199,211,229,241,271,277,307,331,
340: 3,23,29,47,59,71,83,89,101,107,113,149,167,173,191,227,233,239,251,257,269,281,293,311,317,337,
342: 5,11,29,31,59,61,71,73,79,101,103,109,113,131,149,151,163,179,191,193,211,229,233,239,241,263,269,271,281,283,311,313,331,337,
344: 7,13,31,37,61,67,73,103,151,163,181,193,241,271,277,283,307,313,331,337,
346: 29,53,83,89,107,113,149,167,173,173,179,197,233,239,257,263,293,317,
348: 11,17,31,37,41,67,71,79,97,107,109,137,149,151,157,167,181,191,197,199,211,239,241,251,269,277,281,307,311,317,331,337,
350: 3,13,19,37,43,67,73,79,109,127,139,151,157,193,199,211,223,241,271,277,283,307,313,331,337,347,
352: 3,5,41,59,71,83,89,101,113,173,179,239,251,263,269,281,293,311,347,349,
354: 5,7,17,23,37,41,43,47,61,71,73,83,97,103,113,127,131,157,163,173,181,191,197,223,227,241,251,257,271,281,283,293,307,311,313,317,331,337,347,349,
356: 3,7,19,43,73,79,127,157,163,193,199,229,277,283,313,337,349,353,
358: 5,11,41,47,89,101,107,131,167,179,179,191,227,251,257,269,311,317,347,353,
360: 7,11,13,23,29,43,47,53,67,79,83,89,97,103,109,127,131,137,149,163,167,179,181,193,197,211,223,229,233,251,257,263,271,277,281,293,307,313,317,331,337,347,349,353,
362: 3,13,31,79,139,151,163,181,181,199,211,223,283,331,349,359,
364: 5,11,17,47,53,71,83,101,107,113,131,137,167,173,191,197,227,233,251,257,263,281,293,311,317,347,353,359,
366: 7,13,17,19,29,53,59,73,83,89,97,103,109,127,137,139,167,173,193,199,227,229,239,257,263,269,277,283,293,307,313,337,347,349,353,359,
368: 19,31,37,61,97,127,139,157,211,229,241,271,307,331,337,349,
370: 3,11,17,23,53,59,89,101,107,113,131,137,173,179,191,197,233,239,257,263,269,281,311,317,347,353,359,367,
372: 5,13,19,23,41,59,61,79,89,101,103,109,131,139,149,173,179,181,191,193,199,223,233,241,263,269,271,283,293,311,313,331,349,353,359,367,
374: 7,37,43,61,67,97,103,151,163,181,193,211,223,271,277,307,313,331,337,367,
376: 3,17,23,29,59,83,107,113,137,149,179,197,227,239,263,269,293,317,347,353,359,373,
378: 5,11,19,29,31,41,47,61,67,71,97,101,107,109,127,137,139,149,151,167,179,181,197,199,211,227,229,239,241,251,269,271,277,281,307,311,317,331,337,347,349,359,367,373,
380: 7,13,31,43,67,73,97,103,109,139,151,157,181,199,223,229,241,271,277,283,307,313,337,349,367,373,
382: 3,23,29,71,89,101,113,131,149,191,191,233,251,269,281,293,311,353,359,379,
384: 5,11,17,31,37,47,53,67,71,73,101,103,107,113,127,151,157,173,191,193,211,227,233,257,271,277,281,283,311,313,317,331,337,347,353,367,373,379,
386: 3,7,13,19,37,73,79,103,109,157,163,193,193,223,229,277,283,307,313,349,367,373,379,383,
388: 5,29,41,71,107,131,137,149,191,197,239,251,257,281,317,347,359,383,
390: 7,11,17,23,31,37,41,43,53,59,73,79,83,97,107,109,113,127,139,149,151,157,163,167,179,191,193,197,199,211,223,227,233,239,241,251,263,277,281,283,293,307,311,317,331,337,347,349,353,359,367,373,379,383,
392: 3,13,19,43,61,79,109,151,163,181,193,199,211,229,241,283,313,331,349,373,379,389,
394: 5,11,41,47,83,101,113,131,137,167,197,197,227,257,263,281,293,311,347,353,383,389,
396: 7,13,17,23,29,37,43,47,59,79,83,89,103,113,127,139,157,163,167,173,197,199,223,229,233,239,257,269,283,293,307,313,317,337,349,353,359,367,373,379,383,389,
398: 19,31,61,67,127,157,199,199,241,271,331,337,367,379,
400: 3,11,17,41,47,53,83,89,107,131,137,149,167,173,227,233,251,263,269,293,311,317,347,353,359,383,389,397,
402: 5,13,19,23,29,43,53,71,89,109,131,139,151,163,173,179,191,211,223,229,239,251,263,271,293,313,331,349,359,373,379,383,389,397,
404: 3,7,31,37,67,73,97,127,163,181,193,211,223,241,277,307,331,337,367,373,397,401,
406: 5,17,23,47,53,59,89,113,137,149,167,173,179,227,233,239,257,269,293,317,347,353,359,383,389,401,
408: 7,11,19,29,41,59,61,71,97,101,127,131,137,139,151,157,167,179,181,197,211,227,229,241,251,257,269,271,277,281,307,311,337,347,349,367,379,389,397,401,
410: 13,31,37,43,61,73,79,97,103,127,139,181,199,211,229,271,283,307,313,331,337,349,367,373,379,397,
412: 3,11,23,29,53,59,101,131,149,173,179,233,239,263,281,311,353,359,383,389,401,409,
414: 5,13,17,31,41,47,61,67,83,97,101,103,107,131,137,151,157,163,173,181,191,223,233,241,251,257,263,277,283,307,311,313,317,331,347,353,367,373,383,397,401,409,
416: 7,19,37,43,67,79,103,109,139,193,223,277,307,313,337,349,373,379,397,409,
418: 17,29,59,71,101,107,137,149,167,179,191,227,239,251,269,281,311,317,347,359,389,401,
420: 11,19,23,31,37,41,47,53,61,67,71,73,83,89,103,107,109,113,127,137,139,149,151,157,163,179,181,191,193,197,223,227,229,239,241,257,263,269,271,281,283,293,307,311,313,317,331,337,347,349,353,359,367,373,379,383,389,397,401,409,
422: 3,13,43,73,109,139,151,181,193,199,211,211,223,229,241,271,283,313,349,379,409,419,
424: 3,5,23,41,71,107,113,131,167,173,191,197,227,233,251,257,293,311,317,353,383,401,419,421,
426: 5,7,17,29,37,43,47,53,59,67,73,79,89,109,113,149,157,163,193,197,199,227,229,233,263,269,277,313,317,337,347,353,359,367,373,379,383,389,397,409,419,421,
428: 7,19,31,61,79,97,151,157,199,229,271,277,331,349,367,397,409,421,
430: 11,29,41,47,71,83,113,137,149,167,173,179,191,197,233,239,251,257,263,281,293,317,347,359,383,389,401,419,
432: 11,13,23,31,43,53,59,73,79,83,101,139,149,151,163,181,191,193,199,233,239,241,251,269,281,283,293,331,349,353,359,373,379,389,401,409,419,421,
434: 3,13,37,61,67,97,103,127,151,157,163,193,211,223,241,271,277,283,307,331,337,367,373,397,421,431,
436: 3,5,17,47,53,83,89,167,173,179,197,239,257,263,269,347,353,383,389,419,431,433,
438: 5,7,17,19,29,37,41,59,71,79,89,101,107,127,131,157,167,181,197,199,211,227,239,241,257,271,281,307,311,331,337,349,359,367,379,397,401,409,419,421,431,433,
440: 7,19,31,43,61,67,73,103,109,127,157,163,199,211,229,241,277,283,313,331,337,367,373,379,397,409,421,433,
442: 3,11,23,41,53,59,83,89,131,149,173,179,191,251,263,269,293,311,353,359,383,389,401,419,431,439,
444: 5,11,13,23,43,47,61,71,97,107,113,127,131,137,151,163,167,173,181,193,211,233,251,263,271,277,281,293,307,313,317,331,337,347,373,383,397,401,421,431,433,439,
446: 3,7,13,37,67,73,79,97,109,139,163,223,223,283,307,337,349,367,373,379,409,433,439,443,
448: 5,17,29,47,59,89,101,131,137,167,179,191,197,251,257,269,281,311,317,347,359,389,401,419,431,443,
450: 7,11,17,19,29,31,41,53,61,67,71,83,97,101,103,113,137,139,157,167,173,179,181,193,199,211,223,227,239,251,257,269,271,277,283,293,311,313,337,347,349,353,367,379,383,389,397,409,419,421,431,433,439,443,
452: 3,13,19,31,43,73,79,103,139,181,211,223,229,241,271,313,349,373,379,409,421,433,439,449,
454: 5,11,23,53,71,101,107,137,173,191,197,227,227,257,263,281,317,347,353,383,401,431,443,449,
456: 7,13,17,23,37,47,59,67,73,83,89,97,103,107,109,139,149,163,173,179,193,199,223,227,229,233,257,263,277,283,293,307,317,347,349,353,359,367,373,383,389,397,409,419,433,439,443,449,
458: 19,37,61,79,109,127,151,181,229,229,277,307,331,349,379,397,421,439,
460: 3,11,17,29,41,59,71,101,107,113,149,167,179,191,197,227,233,263,269,281,293,311,347,353,359,389,401,419,431,443,449,457,
462: 5,13,19,23,29,31,41,43,53,61,73,79,83,89,103,109,113,131,149,151,179,181,191,193,199,211,223,229,233,239,251,263,269,271,281,283,311,313,331,349,353,359,373,379,383,389,401,409,419,421,431,433,439,443,449,457,
464: 3,7,31,43,67,97,127,151,157,181,193,223,241,271,283,307,313,337,367,397,421,433,457,461,
466: 3,5,17,23,47,83,107,113,149,173,197,227,233,233,239,269,293,317,353,359,383,419,443,449,461,463,
468: 5,7,11,19,29,37,47,59,67,71,79,89,101,109,131,137,151,157,191,197,199,211,227,229,239,241,257,269,271,277,311,317,331,337,359,367,379,389,397,401,409,421,431,439,449,457,461,463,
470: 3,7,13,31,37,61,73,97,103,139,157,163,193,199,229,241,271,277,307,313,331,367,373,397,409,433,439,457,463,467,
472: 5,11,23,29,41,53,71,83,89,113,179,191,233,239,281,293,359,383,389,401,419,431,443,449,461,467,
474: 7,11,13,17,31,41,43,53,73,101,107,127,137,157,163,167,181,191,193,197,211,223,233,241,251,263,277,281,283,293,307,311,317,337,347,367,373,401,421,431,433,443,457,461,463,467,
476: 13,19,37,43,67,79,97,103,109,127,139,163,193,199,277,283,313,337,349,367,373,379,397,409,433,439,457,463,
478: 11,17,29,47,59,89,131,167,197,227,239,239,251,281,311,347,389,419,431,449,461,467,
480: 13,17,19,23,31,37,41,47,59,61,71,79,83,97,101,107,113,127,131,149,163,167,173,197,199,211,223,229,239,241,251,257,269,281,283,307,313,317,331,349,353,367,373,379,383,397,401,409,419,421,433,439,443,449,457,461,463,467,
482: 3,19,43,61,73,103,109,151,199,211,241,241,271,283,331,373,379,409,421,439,463,479,
484: 5,17,23,41,53,83,101,131,137,167,173,191,227,233,251,257,293,311,317,347,353,383,401,431,443,461,467,479,
486: 7,19,23,29,37,43,47,53,67,89,97,103,107,113,127,137,139,149,173,179,193,223,229,257,263,293,307,313,337,347,349,359,373,379,383,389,397,419,433,439,443,449,457,463,467,479,
488: 31,67,79,109,139,151,157,181,211,277,307,331,337,349,379,409,421,457,
490: 3,11,23,29,41,47,59,71,89,101,107,131,137,173,179,197,227,233,239,251,257,263,293,311,317,353,359,383,389,401,419,431,443,449,461,467,479,487,
492: 5,13,29,31,43,53,59,61,71,73,83,103,109,113,139,179,181,199,211,223,229,241,251,263,269,281,293,311,313,353,379,383,389,409,419,421,431,433,439,449,461,463,479,487,
494: 3,7,31,37,61,73,97,127,157,163,181,211,223,271,283,313,331,337,367,397,421,433,457,463,487,491,
496: 5,17,29,47,53,107,113,137,149,179,227,233,239,257,263,269,317,347,359,383,389,443,449,467,479,491,
498: 7,11,19,31,37,41,59,67,79,89,97,101,109,131,139,149,151,167,181,191,227,229,241,257,269,271,307,317,331,347,349,359,367,389,397,401,409,419,431,439,457,461,467,479,487,491,
500: 13,37,43,61,67,79,103,127,151,163,193,223,229,271,277,307,337,349,373,397,421,433,439,457,463,487,
502: 3,11,23,41,53,59,71,83,101,113,149,191,233,239,251,251,263,269,311,353,389,401,419,431,443,449,461,479,491,499,
504: 5,13,17,37,41,43,47,61,71,73,83,103,107,131,137,151,157,167,173,191,193,197,211,223,227,233,241,263,271,277,281,293,307,311,313,331,337,347,353,367,373,397,401,421,431,433,443,457,461,463,467,487,491,499,
506: 3,7,19,43,67,73,97,109,127,139,157,193,199,223,229,277,283,307,313,349,367,379,397,409,433,439,463,487,499,503,
508: 5,17,29,41,47,59,89,107,149,191,197,227,239,251,257,269,281,311,317,359,401,419,449,461,467,479,491,503,
510: 7,11,19,23,31,43,47,53,61,67,71,79,89,101,109,113,127,131,137,151,157,163,173,179,193,197,199,227,229,233,239,241,269,271,277,281,283,311,313,317,331,337,347,353,359,373,379,383,397,401,409,421,431,439,443,449,457,463,467,479,487,491,499,503,
512: 3,13,73,79,103,139,163,181,199,229,241,271,283,313,331,349,373,409,433,439,499,509,
514: 5,11,23,47,53,71,83,113,131,167,197,233,251,257,257,263,281,317,347,383,401,431,443,461,467,491,503,509,
516: 7,13,17,29,37,53,59,67,73,83,97,107,127,137,149,157,163,167,179,199,223,233,239,277,283,293,317,337,349,353,359,367,379,389,409,419,433,443,449,457,463,479,487,499,503,509,
518: 19,31,61,79,97,109,139,151,181,211,241,277,307,337,367,379,409,421,439,457,487,499,
520: 11,17,29,41,53,59,71,89,101,131,137,167,173,227,239,251,257,263,269,281,293,347,353,383,389,419,431,449,461,467,479,491,503,509,
522: 13,19,23,31,43,59,61,73,79,83,89,101,103,113,139,149,163,173,191,211,229,239,241,251,271,281,283,293,311,331,349,359,373,383,409,419,421,433,439,443,449,461,463,479,491,499,503,509,
524: 3,37,61,67,103,127,151,157,193,211,241,283,313,331,367,373,397,421,457,463,487,521,
526: 3,5,17,23,47,59,83,107,137,167,173,179,233,257,263,263,269,293,347,353,359,389,419,443,467,479,503,509,521,523,
528: 5,7,19,29,37,41,61,67,71,79,89,97,107,109,127,131,139,149,179,181,191,197,211,251,257,271,277,317,331,337,347,349,379,389,397,401,419,421,431,439,449,457,461,467,487,491,499,509,521,523,
530: 7,31,43,67,73,97,109,151,157,163,181,193,199,223,307,331,337,349,367,373,379,421,433,457,463,487,499,523,
532: 11,23,29,41,53,71,83,89,101,113,131,149,173,179,239,251,263,269,281,293,353,359,383,401,419,431,443,449,461,479,491,503,509,521,
534: 11,13,31,43,47,67,71,73,101,103,113,137,151,167,181,197,223,227,241,251,257,263,271,277,283,293,307,311,337,353,367,383,397,421,431,433,461,463,467,487,491,503,521,523,
536: 13,37,73,79,97,103,127,139,157,163,199,223,229,307,313,337,373,379,397,409,433,439,457,463,499,523,
538: 17,29,47,59,71,89,107,137,149,179,191,227,257,269,269,281,311,347,359,389,401,431,449,467,479,491,509,521,
540: 17,19,31,37,41,53,61,73,79,83,97,101,107,109,131,139,151,157,167,173,181,191,193,223,227,229,233,257,263,269,271,277,283,307,311,313,317,347,349,359,367,373,383,389,401,409,431,433,439,443,457,461,467,479,487,499,503,509,521,523,
542: 19,43,79,103,109,163,193,211,229,271,271,313,331,349,379,433,439,463,499,523,
544: 3,23,41,53,83,101,113,191,197,227,233,251,263,281,293,311,317,347,353,431,443,461,491,503,521,541,
546: 5,23,37,43,47,59,67,79,83,89,97,103,107,113,127,137,149,157,163,167,173,179,193,197,199,229,233,239,263,269,277,283,307,313,317,347,349,353,367,373,379,383,389,397,409,419,433,439,443,449,457,463,467,479,487,499,503,509,523,541,
548: 7,61,109,127,139,151,181,199,211,241,271,277,307,337,349,367,397,409,421,439,487,541,
550: 3,29,41,47,59,71,83,89,101,107,131,149,167,191,197,233,239,257,269,281,293,311,317,353,359,383,401,419,443,449,461,467,479,491,503,509,521,547,
552: 5,11,29,31,43,53,61,73,89,103,109,113,131,151,163,173,179,193,199,239,241,269,271,281,283,311,313,353,359,373,379,389,401,421,439,443,449,463,479,491,499,509,521,523,541,547,
554: 7,13,31,67,97,157,181,223,241,271,277,277,283,313,331,373,397,457,487,523,541,547,
556: 47,53,89,107,113,137,167,173,197,239,263,293,317,359,383,389,419,443,449,467,503,509,
558: 11,17,37,59,67,71,79,97,101,109,127,137,139,149,157,179,191,199,211,227,241,251,277,281,307,317,331,347,359,367,379,401,409,419,421,431,449,457,461,479,487,491,499,521,541,547,
560: 3,13,19,37,61,73,97,103,127,139,151,163,181,193,211,223,229,277,283,331,337,349,367,379,397,409,421,433,457,463,487,499,523,541,547,557,
562: 5,41,53,59,71,83,101,113,131,173,179,251,269,281,281,293,311,383,389,431,449,461,479,491,503,509,521,557,
564: 7,17,23,41,43,61,73,97,101,103,107,131,163,167,181,191,197,211,227,233,251,257,271,281,283,293,307,313,331,337,353,367,373,383,397,401,433,457,461,463,467,491,503,521,523,541,547,557,
566: 3,19,43,67,79,103,109,127,157,193,199,229,283,283,337,367,373,409,439,457,463,487,499,523,547,563,
568: 5,11,47,59,89,101,107,137,149,167,179,251,257,311,317,389,401,419,431,461,467,479,509,521,557,563,
570: 7,13,23,29,47,61,67,71,79,83,103,107,109,113,127,131,137,139,149,151,173,181,191,197,211,223,233,239,257,263,277,293,307,313,331,337,347,359,373,379,389,397,419,421,431,433,439,443,457,461,463,467,487,491,499,503,509,523,541,547,557,563,
572: 3,31,73,109,139,151,163,193,199,223,241,331,349,373,379,409,421,433,463,499,541,569,
574: 3,5,11,17,53,71,83,107,113,131,173,191,227,257,263,281,293,311,317,347,383,401,443,461,467,491,503,521,557,563,569,571,
576: 5,7,13,19,29,53,67,73,89,97,109,113,127,137,157,167,179,193,197,223,227,229,239,263,269,283,293,307,313,337,347,349,353,379,383,397,409,419,439,449,463,467,479,487,503,509,523,547,557,563,569,571,
578: 7,31,37,79,139,157,181,199,211,229,241,271,307,337,349,367,379,397,421,439,499,541,547,571,
580: 3,11,17,23,59,71,89,101,113,131,137,149,179,191,197,227,233,263,269,311,317,347,353,383,389,401,431,443,449,467,479,491,509,521,557,563,569,577,
582: 5,11,13,19,41,59,61,73,79,83,103,139,149,151,163,173,181,193,199,223,229,233,251,269,271,311,313,331,349,353,359,383,389,401,409,419,431,433,443,479,499,503,509,521,523,541,563,569,571,577,
584: 7,13,37,43,61,97,127,151,163,211,271,277,307,313,373,421,433,457,487,523,541,547,571,577,
586: 17,23,29,83,107,137,167,197,227,233,239,269,293,293,317,347,353,359,389,419,449,479,503,557,563,569,
588: 11,17,19,31,41,47,67,79,89,97,101,109,127,131,139,149,157,167,179,191,199,229,239,241,251,257,271,277,281,307,311,317,331,337,347,349,359,389,397,409,421,431,439,449,457,461,479,487,491,499,509,521,541,547,557,569,571,577,
590: 3,13,19,43,67,103,127,151,157,181,193,211,223,241,277,283,307,313,349,367,379,397,409,433,439,463,487,523,547,571,577,587,
592: 5,23,29,71,83,89,101,113,131,149,173,191,233,239,281,311,353,359,401,419,443,461,479,491,503,509,521,563,569,587,
594: 7,17,23,31,37,47,53,71,73,103,107,127,131,137,151,163,173,193,197,211,227,241,257,263,277,281,283,311,313,317,331,337,353,367,383,397,401,421,431,443,457,463,467,487,491,521,523,541,547,557,563,571,577,587,
596: 3,19,73,97,109,139,157,163,199,223,229,283,313,367,373,397,433,439,457,487,499,523,577,593,
598: 5,11,29,41,89,107,131,137,149,167,179,197,239,251,281,317,347,359,401,419,431,449,461,467,491,509,557,569,587,593,
600: 7,13,23,29,31,37,43,53,59,79,97,101,109,113,137,139,151,157,167,179,181,191,199,211,227,233,241,251,263,269,283,293,307,317,331,337,349,359,367,373,389,401,409,419,421,433,443,449,461,463,487,491,499,503,521,541,547,557,563,569,571,577,587,593,
602: 3,31,61,79,103,139,163,181,193,223,229,271,331,373,379,409,421,439,463,499,523,541,571,599,
604: 3,5,11,17,41,47,83,101,113,137,173,251,257,293,311,347,353,431,467,491,503,521,557,563,587,593,599,601,
606: 5,7,13,19,29,37,43,59,83,97,103,107,127,139,149,157,163,167,173,197,223,227,233,239,257,269,293,313,337,349,367,373,379,383,409,433,439,443,449,457,467,479,499,503,509,523,547,563,569,577,587,593,599,601,
608: 7,31,37,61,67,109,151,199,211,229,241,271,277,331,337,367,379,397,409,457,499,541,547,571,577,601,
610: 3,11,17,23,41,47,53,89,101,107,131,149,167,179,191,227,251,257,263,293,317,347,353,359,383,419,431,443,461,479,503,509,521,557,563,569,587,593,599,607,
612: 5,11,13,19,41,43,71,89,103,109,113,149,151,163,173,179,181,191,193,211,223,229,233,239,263,281,331,349,373,379,383,389,401,419,421,431,433,439,449,461,463,499,503,509,523,541,569,571,593,599,601,607,
614: 7,13,37,43,67,73,127,151,157,181,193,241,277,283,307,307,331,337,373,421,433,457,463,487,541,547,571,577,601,607,
616: 3,17,23,29,47,53,59,107,113,137,149,167,173,197,227,233,257,263,269,347,353,359,383,389,419,443,449,467,479,503,509,557,563,569,587,593,599,613,
618: 5,11,17,19,31,41,47,61,71,97,109,127,131,139,151,157,179,197,199,229,239,251,269,271,281,307,311,337,347,349,367,379,389,419,421,439,461,467,479,487,491,509,521,547,557,571,577,587,599,601,607,613,
620: 3,7,13,19,43,73,79,97,157,163,181,199,211,223,241,271,283,307,313,337,349,379,397,409,421,439,457,463,523,541,547,577,601,607,613,617,
622: 3,5,23,29,53,59,101,113,131,173,179,191,233,239,263,269,311,311,353,359,383,389,431,443,449,491,509,521,563,569,593,599,617,619,
624: 5,7,11,17,23,31,37,47,53,61,67,83,101,103,137,157,163,167,181,191,193,223,227,241,251,257,271,277,293,307,311,313,317,331,347,353,367,373,383,397,401,431,433,443,457,461,467,487,521,523,541,557,563,571,577,587,593,601,607,613,617,619,
626: 7,13,19,79,103,127,139,163,193,229,277,313,313,349,397,433,463,487,499,523,547,607,613,619,
628: 11,29,41,59,71,107,137,149,167,179,197,227,239,269,281,311,317,347,359,389,401,431,449,461,479,491,521,557,569,587,599,617,
630: 11,13,17,23,29,31,37,43,53,59,61,67,73,83,89,107,109,127,131,139,151,163,167,173,181,191,197,199,211,229,233,241,251,257,263,271,277,281,283,293,313,317,337,347,349,353,359,367,373,379,389,397,401,419,431,433,439,449,457,463,467,479,491,499,503,521,523,541,547,557,563,569,571,577,587,593,599,601,607,613,617,619,
632: 13,19,31,61,109,193,199,211,223,283,349,409,421,433,439,523,571,601,613,619,
634: 3,17,41,47,71,113,131,167,173,191,233,251,281,317,317,353,383,401,443,461,467,503,521,563,587,593,617,631,
636: 5,17,19,23,29,37,43,59,67,73,79,89,113,127,137,149,157,173,179,193,197,227,239,257,263,269,277,283,353,359,367,373,379,397,409,439,443,457,463,479,487,499,509,523,547,557,563,569,577,593,599,607,613,617,619,631,
638: 7,19,31,37,61,67,97,139,151,181,199,229,241,271,307,331,367,397,409,439,457,487,499,541,571,577,601,607,619,631,
640: 23,41,47,53,71,83,131,137,149,173,179,191,197,239,251,257,281,293,347,359,383,389,401,443,449,461,467,491,503,509,557,569,587,593,599,617,
642: 11,23,29,41,43,71,73,79,101,139,151,163,179,181,193,199,211,223,233,241,263,269,283,293,311,331,349,359,373,379,401,409,419,431,443,449,461,463,479,491,503,541,563,569,571,599,601,613,619,631,
644: 3,13,31,37,43,67,73,97,103,157,181,211,223,271,277,307,313,331,337,367,373,421,433,463,487,541,547,571,577,601,607,613,631,641,
646: 3,5,29,47,53,59,83,89,137,167,179,197,227,257,263,293,353,383,389,419,449,467,479,509,557,563,587,593,599,617,641,643,
648: 5,7,17,29,31,41,47,61,71,79,101,107,127,139,149,157,181,191,199,227,229,239,251,269,281,311,317,331,337,367,379,397,409,419,421,449,457,467,491,499,509,521,541,547,569,577,587,601,607,617,619,631,641,643,
650: 3,7,19,31,37,43,73,79,103,109,127,151,163,193,211,229,241,271,277,283,313,337,367,373,379,409,421,439,457,487,499,523,541,547,571,577,607,613,619,631,643,647,
652: 5,11,53,59,83,89,131,149,173,191,233,251,263,269,293,359,383,389,401,419,461,479,503,521,563,569,593,599,641,647,
654: 7,11,13,23,37,41,47,53,61,67,83,97,107,113,131,151,163,167,191,193,197,211,223,233,257,271,281,307,317,337,347,373,383,397,421,431,443,457,461,463,487,491,503,523,541,547,557,571,587,593,601,607,613,617,631,641,643,647,
656: 3,13,37,43,79,109,157,193,199,223,277,283,307,349,373,379,433,457,463,499,547,577,613,619,643,653,
658: 5,11,17,41,59,71,89,101,137,149,167,179,191,197,227,239,257,269,311,347,389,401,419,431,461,467,479,491,509,521,557,569,587,599,617,641,647,653,
660: 7,13,17,19,29,41,43,47,53,59,61,67,73,83,89,97,103,113,137,139,151,157,173,181,193,197,199,211,227,229,239,241,251,263,271,277,281,293,307,311,313,347,349,353,367,379,383,389,397,409,419,421,431,433,449,461,463,467,479,487,503,509,521,523,547,557,563,571,577,587,593,599,601,607,613,617,619,631,641,643,647,653,
662: 3,19,31,43,61,139,163,199,223,229,241,283,313,331,331,349,379,421,433,439,463,499,523,601,619,631,643,659,
664: 3,5,11,17,23,47,71,101,107,173,197,233,263,281,311,317,347,353,383,401,431,467,491,557,563,593,617,641,647,653,659,661,
666: 5,7,13,19,23,47,53,59,67,73,79,89,97,103,109,157,163,167,179,199,223,227,233,257,269,277,283,293,307,313,317,349,353,359,373,383,389,397,409,433,439,443,467,487,499,503,509,557,563,569,577,587,593,599,607,613,619,643,647,653,659,661,
668: 7,37,61,67,97,127,181,211,229,271,331,337,397,439,457,487,541,571,601,607,631,661,
670: 11,17,23,29,53,71,83,101,107,113,149,167,179,191,227,239,251,269,281,311,317,353,359,389,401,419,431,443,479,491,503,521,557,563,569,587,599,617,641,647,653,659,
672: 11,13,19,29,31,41,53,59,71,73,79,101,103,109,131,149,151,163,173,181,193,211,223,229,233,239,241,251,263,271,283,293,313,359,379,389,401,409,421,431,433,439,443,449,461,479,491,499,509,521,523,541,563,569,571,593,599,601,613,619,631,641,643,653,659,661,
674: 13,31,43,61,67,73,97,103,127,151,211,241,277,307,337,337,367,397,433,463,523,547,571,577,601,607,613,631,643,661,
676: 3,17,23,29,59,83,89,107,113,167,173,197,227,233,257,293,317,359,383,419,443,449,479,503,509,563,569,587,593,617,647,653,659,673,
678: 5,17,19,31,37,47,59,61,71,79,101,107,109,131,137,157,179,191,199,211,229,239,257,269,277,281,311,331,347,367,397,401,409,421,439,449,467,479,487,499,521,541,547,569,571,577,599,607,617,619,631,641,647,659,661,673,
680: 3,7,19,37,61,67,73,79,103,109,139,157,181,193,223,241,271,283,307,313,331,349,367,373,397,409,439,457,487,499,523,541,571,577,601,607,613,619,643,661,673,677,
682: 5,23,29,41,83,89,113,173,179,191,233,239,251,263,281,293,389,401,419,431,443,449,491,503,509,569,593,599,641,653,659,677,
684: 7,11,23,31,37,41,43,53,67,71,83,97,107,113,127,137,163,181,193,197,223,227,241,251,263,283,311,317,331,337,347,353,367,373,401,421,433,443,457,461,487,491,503,521,547,557,571,577,587,601,613,617,631,641,643,647,653,661,673,677,
686: 3,13,43,67,73,79,109,139,163,199,223,229,277,307,313,337,349,373,379,409,457,463,487,523,547,577,607,613,619,643,673,683,
688: 5,11,29,41,47,71,89,101,131,167,179,197,227,239,257,269,419,431,449,461,491,509,521,557,587,599,617,641,647,659,677,683,
690: 7,13,17,29,31,37,43,47,59,71,73,83,89,97,103,113,127,149,167,181,191,199,211,223,227,229,233,241,251,257,269,271,281,293,307,311,317,331,337,353,359,373,379,383,397,409,419,421,433,439,449,457,461,463,467,479,491,499,509,523,541,563,577,587,593,601,607,617,619,631,643,647,653,659,661,673,677,683,
692: 19,31,61,73,79,151,193,229,271,283,313,379,409,421,463,499,541,613,619,631,661,673,
694: 3,11,17,41,47,53,101,107,131,137,173,191,227,233,251,263,293,311,347,347,383,401,431,443,461,467,503,521,557,563,587,593,641,647,653,677,683,691,
696: 5,13,19,23,37,43,53,79,83,89,97,103,109,127,139,149,173,193,197,229,233,239,257,263,277,307,313,317,337,347,349,359,379,383,389,419,433,439,457,463,467,499,503,523,547,557,569,587,593,599,607,613,617,643,653,659,673,677,683,691,
698: 7,37,67,79,97,127,151,157,199,211,241,277,331,349,349,367,421,457,487,499,541,547,571,601,619,631,661,691,
700: 17,23,41,47,53,59,83,101,107,113,131,137,179,191,197,233,239,251,257,269,281,311,317,347,353,383,389,419,431,443,449,461,467,503,509,521,563,569,587,593,599,617,641,647,653,659,677,683,
702: 11,19,29,41,43,59,61,71,83,89,101,103,109,131,139,179,181,193,199,211,223,239,241,263,269,271,281,283,293,313,349,353,389,409,419,421,431,433,439,461,463,479,491,503,509,521,523,563,571,593,599,601,613,619,631,641,643,659,661,673,683,691,
704: 3,13,31,43,61,73,97,103,127,157,163,181,241,271,283,307,331,337,367,373,397,421,433,463,523,541,547,577,601,607,631,643,661,673,691,701,
706: 5,23,29,47,53,59,89,107,113,137,149,197,227,239,257,263,317,347,353,353,359,389,443,449,467,479,509,557,569,593,599,617,647,653,659,677,683,701,
708: 7,17,31,47,61,67,89,101,107,109,131,137,139,151,167,199,229,241,251,269,277,307,311,349,359,397,401,431,439,457,467,479,509,541,557,569,571,577,599,601,607,619,641,647,661,677,691,701,
710: 19,37,67,79,97,103,109,139,163,211,223,271,277,313,331,337,373,379,397,433,439,487,499,547,571,601,607,613,631,643,673,691,
712: 3,11,29,53,59,71,113,149,191,233,251,263,269,281,293,311,353,359,401,419,431,443,449,461,479,521,563,599,641,653,659,683,701,709,
714: 5,13,23,31,37,41,53,61,67,71,73,83,97,101,107,113,127,137,151,157,167,173,191,193,211,223,227,251,257,271,281,283,293,313,317,331,347,367,383,397,401,421,431,433,443,457,463,487,491,503,521,523,541,547,557,563,577,587,601,607,613,617,631,641,643,647,653,661,673,677,683,691,701,709,
716: 7,43,73,97,103,109,139,193,229,277,283,307,337,349,367,379,409,433,439,487,523,577,607,613,619,643,673,709,
718: 17,41,59,71,101,131,149,197,227,239,251,257,269,317,359,359,401,449,461,467,479,491,521,569,587,617,647,659,677,701,
720: 11,19,29,37,43,47,59,61,67,73,79,89,101,103,107,113,127,149,151,157,163,173,179,197,199,211,229,233,241,257,263,271,277,281,311,331,337,347,353,367,373,383,389,409,439,443,449,457,463,479,487,491,509,521,523,541,547,557,563,569,571,593,607,613,617,619,631,641,647,653,659,661,673,677,683,691,701,709,
722: 3,13,31,61,79,103,109,151,181,199,223,283,313,349,373,409,439,499,523,541,571,613,619,643,661,691,709,719,
724: 5,23,41,47,71,83,107,131,137,167,233,257,263,281,293,431,443,461,467,491,557,587,593,617,641,653,677,683,701,719,
726: 7,17,43,53,67,73,79,83,107,109,113,127,139,149,157,163,179,223,227,239,263,269,277,283,293,307,317,337,347,353,359,367,373,379,389,409,419,433,443,449,457,463,487,499,503,547,563,569,577,587,599,613,617,619,643,647,653,659,673,683,709,719,
728: 19,37,67,97,109,127,151,157,181,229,241,271,307,331,349,379,397,421,457,487,499,547,571,577,601,619,631,661,691,709,
730: 3,11,29,47,53,71,83,89,113,131,137,167,173,227,239,251,263,269,281,311,347,383,419,449,461,467,479,491,503,557,563,593,599,617,641,647,659,677,683,701,719,727,
732: 5,13,23,31,41,59,71,73,79,89,101,113,131,139,163,191,211,223,229,233,241,269,271,283,293,311,313,331,349,353,359,373,379,383,401,419,421,439,449,461,463,491,499,503,509,521,541,569,593,601,619,631,643,653,659,661,673,691,701,709,719,727,
734: 7,43,61,73,103,127,157,163,193,211,271,277,313,337,367,367,397,421,457,463,523,541,571,577,607,631,661,673,691,727,
736: 3,17,53,59,83,89,137,149,167,173,179,227,233,257,269,293,317,347,353,383,389,419,443,467,479,503,509,557,563,569,587,599,647,653,677,683,719,733,
738: 5,11,19,29,37,47,61,79,97,107,131,137,139,151,167,181,191,197,229,239,251,271,277,281,307,317,337,349,359,379,389,401,421,431,457,461,467,487,499,509,541,547,557,571,587,599,601,607,631,641,659,677,691,701,709,719,727,733,
740: 7,13,31,67,79,97,109,127,139,163,193,199,241,277,283,307,331,367,373,409,433,457,463,499,541,547,577,601,613,631,643,661,673,709,727,733,
742: 3,23,41,59,83,89,101,149,173,179,233,239,251,263,281,293,311,353,359,383,389,431,449,461,479,491,503,509,563,569,593,641,653,659,683,701,719,739,
744: 5,11,17,43,53,61,67,71,83,97,101,103,113,127,131,137,151,157,167,173,181,197,223,241,257,277,281,283,311,313,347,397,431,433,461,463,467,487,503,521,547,563,571,577,587,593,607,613,617,631,641,643,647,661,673,677,683,691,701,727,733,739,
746: 3,7,13,19,37,73,103,127,139,199,223,283,307,313,337,349,367,373,373,379,397,409,433,439,463,523,547,607,619,643,673,709,727,733,739,743,
748: 5,29,47,71,89,101,107,131,149,179,191,227,239,257,269,281,317,347,359,389,401,431,467,479,491,509,521,557,569,599,617,641,647,659,677,701,719,743,
750: 7,11,17,23,31,41,59,67,73,89,97,103,107,109,131,137,149,151,157,163,173,179,181,193,227,229,241,251,263,271,283,293,307,311,317,331,349,353,367,383,397,401,419,433,439,443,457,467,479,487,499,509,521,523,557,569,571,577,587,593,599,601,613,619,641,643,647,653,661,677,683,691,709,719,727,733,739,743,
752: 13,19,43,61,79,109,139,151,181,211,229,313,331,373,379,421,439,523,541,571,601,613,643,673,691,709,733,739,
754: 3,11,53,71,101,107,113,137,167,191,197,233,251,263,293,311,353,401,443,461,491,503,521,557,563,587,617,641,647,653,683,701,743,751,
756: 5,13,17,23,29,37,47,73,79,83,97,103,109,113,137,139,149,157,163,179,193,199,233,257,269,277,293,307,313,317,337,347,359,367,373,383,389,397,409,419,439,443,449,463,479,487,499,523,557,563,577,593,599,607,617,619,643,647,653,659,673,677,683,709,719,727,733,739,743,751,
758: 7,19,31,67,97,127,139,151,157,181,211,271,337,349,379,379,409,421,487,547,577,601,607,619,631,661,691,727,739,751,
760: 3,17,41,59,83,101,107,113,167,173,191,197,239,251,257,269,281,293,311,317,359,401,443,449,467,479,491,503,509,521,563,569,587,593,647,653,659,677,701,719,743,757,
762: 5,11,19,23,29,43,53,61,71,79,89,101,103,109,131,149,163,191,193,199,239,241,263,271,283,313,331,353,373,379,383,389,409,431,449,479,491,499,521,523,563,569,571,599,613,631,653,659,661,673,683,691,701,709,719,733,739,743,751,757,
764: 3,7,13,31,37,73,103,151,157,163,193,223,241,277,307,331,367,397,433,457,487,523,541,571,601,607,613,661,691,727,733,751,757,761,
766: 5,23,47,83,89,107,113,149,167,173,179,197,257,263,317,347,383,383,419,449,503,509,569,587,593,599,617,653,659,677,683,719,743,761,
768: 7,11,17,29,41,59,67,107,109,127,137,149,151,167,181,191,197,199,211,227,269,277,281,307,311,337,347,349,359,367,379,389,401,409,419,421,431,457,461,487,491,499,541,557,569,571,577,587,601,617,619,631,641,659,661,701,709,727,739,751,757,761,
770: 13,19,31,37,43,61,79,97,109,127,139,151,157,163,193,199,223,229,271,283,307,313,331,337,349,373,397,421,433,439,457,463,487,499,541,547,571,577,607,613,619,631,643,661,673,691,709,727,733,739,751,757,
772: 3,11,29,53,71,89,113,131,173,179,251,263,269,281,293,311,353,383,389,419,461,479,491,503,509,521,593,599,641,659,683,701,719,743,761,769,
774: 5,13,17,23,31,41,47,73,83,97,101,113,127,131,157,167,173,181,197,211,227,233,251,271,283,307,311,313,317,331,353,373,401,421,443,457,461,463,467,491,503,523,541,547,563,577,593,601,607,617,643,647,661,673,677,691,701,727,733,743,751,757,761,769,
776: 3,7,19,37,43,67,103,157,163,199,229,277,313,337,367,379,397,409,439,463,499,547,577,613,619,673,709,733,739,757,769,773,
778: 5,17,59,101,131,137,179,191,257,269,311,317,347,359,389,389,419,431,461,467,509,521,587,599,641,647,677,719,761,773,
780: 7,11,19,23,29,37,41,47,53,61,71,79,89,97,103,107,127,137,139,149,163,167,173,179,181,193,211,223,233,239,257,271,277,281,293,313,317,331,337,347,349,359,379,383,397,401,421,431,433,443,449,463,467,487,499,503,509,523,541,547,557,569,587,599,601,607,613,617,631,641,643,653,673,677,683,691,701,709,719,727,733,739,743,751,757,761,769,773,
782: 13,31,43,73,109,139,151,163,181,211,241,283,349,373,409,433,499,541,571,601,619,631,643,673,709,739,751,769,
784: 11,23,41,83,101,107,131,137,167,191,197,227,263,281,293,317,353,383,401,431,467,491,503,521,557,587,593,617,647,653,677,683,701,743,761,773,
786: 13,17,29,43,47,53,59,67,103,109,113,127,139,167,173,179,193,199,223,229,239,263,277,283,307,337,347,353,367,389,397,419,433,439,449,479,503,509,523,547,557,563,587,593,607,613,619,647,659,673,677,683,719,727,733,739,743,757,769,773,
788: 19,31,37,61,79,97,127,157,181,211,241,331,349,367,379,409,421,439,457,547,577,607,631,661,691,709,727,751,757,769,
790: 3,17,29,47,71,89,107,113,131,137,149,173,191,197,227,233,269,281,311,347,359,389,401,431,443,479,509,521,557,563,593,599,617,641,653,659,677,683,701,719,743,761,773,787,
792: 5,19,23,31,41,53,59,73,83,101,109,131,139,149,151,173,179,191,193,199,223,229,251,269,271,283,293,313,331,349,353,359,373,383,409,419,433,439,443,461,479,499,509,521,523,541,563,569,593,599,601,613,619,641,643,653,661,683,691,709,719,733,739,751,761,769,773,787,
794: 7,37,43,61,67,103,151,163,181,193,223,271,307,331,337,373,397,397,421,457,463,487,523,571,601,613,631,643,691,727,733,751,757,787,
796: 23,53,113,137,149,179,197,227,233,239,293,317,347,353,443,449,479,503,557,563,569,599,617,647,659,683,743,773,
798: 11,29,37,41,47,59,71,79,89,97,107,137,139,151,157,167,179,181,191,197,199,211,227,229,241,251,257,277,307,311,331,337,349,359,367,379,389,397,401,409,419,431,439,449,461,467,487,491,521,541,547,557,569,571,587,599,601,607,617,619,631,641,647,659,661,691,701,709,719,727,739,751,757,761,769,787,
800: 3,13,31,43,61,67,73,109,127,139,157,181,193,199,223,229,277,313,337,367,379,421,433,463,487,523,571,577,601,607,619,643,661,673,691,727,733,739,757,769,787,797,
802: 5,29,41,59,83,101,149,233,239,281,293,311,353,359,383,401,401,419,443,449,491,509,521,563,569,653,701,719,743,761,773,797,
804: 7,17,31,43,47,53,61,71,103,113,127,131,151,157,163,173,191,197,211,227,233,241,257,263,281,283,313,317,337,347,373,383,421,431,457,467,487,491,521,523,541,547,563,571,577,593,607,613,631,641,647,653,673,677,691,701,733,743,751,757,761,773,787,797,
806: 19,37,67,73,79,97,163,193,199,229,283,307,349,367,373,397,409,433,439,457,499,523,577,607,613,643,709,727,733,739,769,787,
808: 11,47,89,107,131,149,167,191,239,251,317,347,359,389,419,449,461,491,557,569,617,641,659,677,701,719,761,797,
810: 13,23,37,41,53,59,67,71,83,101,109,127,137,149,151,157,163,167,179,191,193,197,211,223,233,239,241,263,269,307,311,331,347,349,353,367,379,389,401,409,421,431,443,457,461,463,479,499,503,541,547,569,571,577,587,599,613,617,619,631,643,647,653,659,661,673,683,701,709,727,739,743,751,757,769,773,787,797,
812: 3,43,61,73,79,103,139,151,181,193,199,211,241,271,313,349,373,379,433,439,463,499,541,571,601,613,619,631,661,673,709,733,739,751,769,809,
814: 3,5,17,41,53,71,113,131,137,167,173,197,227,251,257,293,311,347,353,383,431,461,467,503,521,557,563,587,617,641,647,677,683,701,743,761,773,797,809,811,
816: 5,7,19,29,43,47,59,73,83,89,97,107,139,157,163,173,197,199,223,229,239,269,293,307,313,317,337,349,353,359,367,373,383,397,419,433,443,449,457,463,467,479,499,503,509,523,547,577,587,593,617,619,643,653,659,677,709,719,727,733,743,757,769,773,787,797,809,811,
818: 7,31,61,67,79,109,127,157,199,211,241,271,277,331,379,397,409,409,421,439,487,541,547,577,607,619,661,691,709,739,751,757,787,811,
820: 11,23,47,59,101,137,167,173,179,227,233,251,257,263,311,317,353,359,389,401,419,431,461,467,503,509,557,563,569,587,593,641,647,653,683,719,761,773,797,809,
822: 11,13,53,61,71,79,83,89,103,113,131,139,149,163,179,181,191,223,229,251,281,313,331,359,373,379,383,389,401,421,433,439,443,449,463,491,509,541,571,593,599,631,641,643,659,673,683,691,709,719,733,739,743,751,761,769,809,811,
824: 3,13,37,67,73,97,151,163,181,193,211,223,277,283,337,367,457,487,541,547,601,613,631,643,661,673,727,751,757,787,811,821,
826: 3,5,17,29,53,83,107,149,167,173,179,227,233,239,257,263,269,317,347,359,383,443,467,479,509,557,563,569,587,593,599,647,653,659,677,719,743,773,797,809,821,823,
828: 5,7,17,19,31,41,59,67,71,89,101,109,127,137,151,167,181,197,211,227,229,241,251,257,271,281,307,337,349,367,379,389,397,409,419,431,439,449,461,479,491,521,547,557,571,577,587,599,601,617,631,647,661,677,691,701,719,727,739,757,761,769,787,797,809,811,821,823,
830: 3,7,19,43,61,73,79,97,103,139,157,199,211,223,229,283,307,331,367,373,397,409,421,433,457,463,499,523,547,601,607,619,631,673,691,727,733,751,757,769,787,811,823,827,
832: 3,5,11,23,59,71,89,113,131,149,173,179,191,233,239,263,269,311,353,383,389,401,431,443,449,479,521,563,569,593,599,641,653,659,683,701,719,743,761,773,809,821,827,829,
834: 5,7,11,13,23,37,47,61,73,83,101,107,151,157,173,181,191,193,227,233,241,257,263,271,277,293,311,313,331,347,367,373,401,433,461,467,487,503,521,523,541,557,563,571,577,593,601,607,641,643,653,661,677,683,727,733,751,761,773,787,797,811,821,823,827,829,
836: 7,13,67,79,97,103,109,127,163,193,223,229,313,337,349,373,379,397,439,457,463,487,499,523,607,613,643,673,709,727,733,739,757,769,823,829,
838: 11,17,29,41,137,179,191,197,239,251,269,281,317,347,359,389,419,419,449,479,491,521,557,569,587,599,641,647,659,701,797,809,821,827,
840: 11,13,17,19,29,31,43,53,67,71,79,83,89,97,101,107,113,131,139,149,157,163,167,179,181,193,197,199,223,227,233,239,241,263,269,271,277,283,293,317,331,337,349,353,373,379,383,397,401,409,419,421,431,439,443,457,461,467,487,491,503,509,523,547,557,563,569,571,577,599,601,607,613,617,641,643,647,659,661,673,677,683,691,701,709,727,733,739,743,751,757,761,769,773,787,797,809,811,821,823,827,829,
842: 3,13,19,31,73,103,109,151,181,199,211,223,229,241,271,379,409,421,421,433,463,571,601,613,619,631,643,661,691,733,739,769,811,823,829,839,
844: 5,17,23,47,71,83,101,167,191,197,227,251,257,281,353,383,401,443,461,491,563,587,593,617,647,653,677,743,761,773,797,821,827,839,
846: 7,17,19,23,37,59,73,89,103,107,113,127,137,163,173,193,199,227,229,233,239,269,277,283,337,347,359,367,379,383,389,397,449,457,463,467,479,487,499,509,563,569,577,607,613,617,619,647,653,673,683,709,719,733,739,743,757,773,787,809,823,827,829,839,
848: 19,37,61,79,97,109,139,157,229,241,271,277,307,349,409,439,499,541,571,577,607,619,691,709,739,751,769,787,811,829,
850: 11,23,29,41,53,89,107,131,149,167,173,191,197,233,251,257,263,281,293,347,359,383,389,401,419,431,449,461,467,491,503,557,569,587,593,599,617,653,659,677,683,701,719,743,761,797,809,821,827,839,
852: 13,23,29,31,41,43,79,83,101,109,113,151,179,191,193,199,211,233,239,251,281,283,311,331,349,353,373,389,409,419,421,431,433,443,463,479,499,503,521,541,569,571,601,613,619,641,653,659,661,673,701,739,743,751,769,773,809,811,821,823,829,839,
854: 31,43,67,97,103,127,163,181,193,211,223,241,277,283,307,313,331,367,397,421,433,457,487,523,541,547,571,577,613,631,643,661,673,691,727,751,757,787,811,823,
856: 3,17,29,47,59,83,113,137,173,179,197,239,257,263,269,293,347,353,389,467,503,509,563,587,593,599,617,659,677,683,719,743,773,797,809,827,839,853,
858: 5,19,29,31,37,47,61,71,89,97,101,107,131,139,149,157,167,181,197,199,211,227,239,241,251,257,271,281,311,317,337,349,359,367,379,397,401,409,419,439,449,457,461,479,491,499,509,521,541,547,577,587,601,607,617,619,631,647,659,661,677,691,701,709,719,727,751,757,761,769,787,797,811,821,827,829,839,853,
860: 3,7,31,37,73,103,109,127,151,199,229,241,283,313,337,373,397,421,439,463,487,523,547,577,619,631,661,709,733,751,757,787,823,829,853,857,
862: 3,5,23,41,53,89,101,179,263,269,293,353,359,383,401,419,431,431,443,461,479,503,509,569,593,599,683,761,773,809,821,839,857,859,
864: 5,7,11,37,41,43,53,67,103,107,113,131,137,163,173,181,191,211,223,233,251,257,263,271,277,293,307,317,373,397,401,421,431,433,443,463,467,491,547,557,571,587,593,601,607,613,631,641,653,673,683,691,701,727,733,751,757,761,797,811,821,823,827,853,857,859,
866: 3,7,13,37,43,79,97,109,127,139,157,193,223,367,379,409,433,433,457,487,499,643,673,709,727,739,757,769,787,823,829,853,859,863,
868: 5,11,29,41,47,59,71,107,149,167,191,227,251,269,281,311,347,359,389,401,419,449,467,479,509,521,557,587,599,617,641,677,701,719,761,797,809,821,827,839,857,863,
870: 7,11,13,17,31,41,43,47,59,61,73,83,97,101,109,113,127,131,137,151,179,193,197,211,223,227,229,239,251,257,263,269,271,277,283,293,307,313,347,349,367,379,383,409,421,431,439,449,461,487,491,503,521,523,557,563,577,587,593,599,601,607,613,619,631,641,643,647,659,673,677,691,719,733,739,743,757,761,769,773,787,797,809,811,823,827,829,839,853,857,859,863,
872: 13,19,43,61,103,139,163,181,199,211,229,241,271,331,349,373,409,433,439,463,499,523,541,601,631,643,661,673,691,709,733,769,811,829,853,859,
874: 11,17,47,53,101,113,131,173,191,197,227,233,257,281,311,317,353,383,431,443,491,521,557,563,593,617,641,647,677,683,701,743,761,773,821,827,857,863,
876: 13,17,19,23,37,47,53,67,79,89,103,107,137,149,157,167,193,199,223,229,233,257,263,269,277,283,307,313,353,367,373,389,397,409,419,433,443,457,467,479,487,503,509,523,563,569,593,599,607,613,619,643,647,653,677,683,709,719,727,739,769,773,787,797,809,823,829,839,853,857,859,863,
878: 19,67,109,127,139,151,271,277,307,331,337,379,421,439,439,457,499,541,547,571,601,607,727,739,751,769,811,859,
880: 3,17,23,41,53,59,71,83,107,137,179,197,227,233,239,263,281,293,311,317,359,389,401,419,431,449,461,479,491,521,563,569,587,599,617,641,647,653,683,701,743,773,797,809,821,827,839,857,863,877,
882: 5,19,23,29,43,53,59,61,71,73,109,113,131,139,149,163,173,181,191,199,223,229,239,241,251,263,269,281,283,311,313,359,373,379,383,419,421,433,439,443,449,461,463,499,503,509,523,569,571,599,601,613,619,631,641,643,653,659,683,691,701,709,719,733,743,751,769,773,809,811,821,823,829,839,853,859,863,877,
884: 3,7,31,61,73,97,127,151,157,193,211,223,241,271,277,283,307,313,337,397,421,463,487,547,571,577,601,607,613,643,661,673,691,727,733,757,787,811,823,853,877,881,
886: 3,5,23,29,47,59,89,113,167,227,233,239,269,293,317,383,419,443,443,467,503,569,593,617,647,653,659,719,773,797,827,839,857,863,881,883,
888: 5,7,11,29,31,59,61,67,79,101,127,131,137,149,179,197,211,227,229,241,257,269,271,281,311,317,331,347,367,379,389,397,401,409,421,431,439,449,457,467,479,487,491,499,509,521,541,557,571,577,607,617,619,631,647,659,661,677,691,709,739,751,757,761,787,809,821,827,829,857,859,877,881,883,
890: 3,7,13,31,37,61,67,79,103,139,151,157,163,181,199,229,271,277,283,313,349,367,433,457,523,541,577,607,613,619,661,691,709,727,733,739,751,787,811,823,829,853,859,877,883,887,
892: 5,11,29,53,71,83,131,149,173,191,233,239,251,293,383,389,401,431,443,449,461,491,503,509,599,641,653,659,701,719,743,761,809,821,839,863,881,887,
894: 7,11,13,17,31,37,41,67,71,73,83,97,107,137,151,167,193,211,233,241,251,263,277,281,293,307,317,331,337,347,353,373,431,433,461,463,521,541,547,557,563,577,587,601,613,617,631,643,653,661,683,701,727,743,757,787,797,811,821,823,827,853,857,863,877,881,883,887,
896: 13,19,37,43,67,73,109,127,139,157,163,223,277,283,349,373,397,409,433,439,457,463,487,499,523,547,613,619,673,733,739,757,769,787,823,829,853,859,877,883,
898: 11,17,41,59,71,89,101,137,179,197,239,251,257,281,311,389,419,431,449,449,467,479,509,587,617,641,647,659,701,719,761,797,809,827,839,857,881,887,
900: 13,17,19,23,37,41,43,47,61,71,73,79,89,103,113,127,131,139,149,157,167,173,181,191,199,223,227,239,241,257,269,281,283,293,307,313,331,337,353,359,379,397,401,409,421,433,439,443,457,461,467,479,491,499,503,521,541,547,563,569,587,593,607,617,619,631,643,659,661,673,677,701,709,719,727,733,743,751,761,769,773,787,797,811,821,827,829,839,853,857,859,863,877,881,883,887,
902: 19,43,73,79,151,163,193,211,229,241,271,283,331,379,439,463,523,571,619,631,661,673,691,709,739,751,823,829,859,883,
904: 17,23,41,47,83,107,131,227,251,257,263,311,317,347,383,401,443,461,503,521,557,587,593,641,647,653,677,773,797,821,857,863,881,887,
906: 19,23,29,43,47,53,67,79,83,97,109,137,149,163,167,173,179,197,223,229,233,263,293,307,313,337,349,359,383,397,419,439,443,449,457,463,467,487,509,523,547,557,569,593,599,613,643,673,677,683,709,727,733,739,743,757,769,797,809,823,827,839,853,859,863,877,883,887,
908: 31,79,97,139,151,157,181,199,277,307,331,337,367,409,421,487,499,541,571,577,601,631,709,727,751,757,769,811,829,877,
910: 3,23,29,47,53,71,83,89,101,113,137,149,167,191,227,233,251,257,263,269,293,311,317,347,353,389,401,419,431,443,449,461,467,479,491,509,521,557,563,593,599,617,641,647,653,659,677,683,719,743,761,773,797,809,821,827,839,857,863,881,887,907,
912: 5,29,31,53,59,73,83,89,101,103,139,151,173,179,193,211,229,239,251,269,271,281,293,311,313,349,389,409,421,433,449,463,479,491,503,523,563,599,601,619,631,641,643,661,673,683,701,719,733,739,761,773,809,811,823,829,839,853,859,881,883,907,
914: 3,7,31,37,61,103,127,157,163,181,223,241,271,283,307,313,337,367,373,457,457,541,547,577,601,607,631,643,673,691,733,751,757,787,811,853,877,883,907,911,
916: 5,29,53,59,89,107,173,197,233,239,257,263,269,317,347,353,359,449,467,557,563,569,599,647,653,659,677,683,719,743,809,827,857,863,887,911,
918: 7,11,31,37,41,59,61,79,89,97,107,109,131,149,157,167,179,191,199,227,241,257,271,277,311,317,331,347,349,397,409,419,431,439,457,461,479,487,499,509,521,569,571,587,601,607,641,647,661,677,691,719,727,739,751,761,769,787,809,811,821,829,839,857,859,877,881,887,907,911,
920: 13,37,43,61,67,97,109,151,163,181,193,211,229,277,307,313,349,373,379,397,421,433,457,463,487,499,523,541,547,571,607,613,643,691,709,727,739,757,769,811,823,853,859,877,883,907,
922: 3,11,41,59,83,101,113,149,179,239,263,269,281,353,359,401,419,431,443,461,461,479,491,503,521,563,569,641,653,659,683,743,773,809,821,839,863,881,911,919,
924: 5,13,17,37,41,43,47,61,67,71,97,101,103,113,127,137,151,163,167,173,181,191,197,223,233,241,251,263,271,277,281,283,293,307,311,317,331,337,347,353,367,383,401,421,433,457,461,463,467,491,503,523,541,557,571,577,587,593,607,613,617,631,641,643,647,653,661,673,683,691,701,727,733,743,751,757,761,773,787,797,811,821,823,827,853,857,863,877,881,883,887,907,911,919,
926: 7,19,43,67,73,97,103,139,157,193,199,283,307,313,349,379,439,463,463,487,547,577,613,619,643,727,733,769,787,823,829,853,859,883,907,919,
928: 17,41,47,71,89,101,107,131,167,227,251,269,281,311,359,419,449,461,467,479,509,569,617,647,659,677,701,761,797,821,827,839,857,881,887,911,
930: 11,19,23,43,47,53,67,71,73,101,103,107,109,157,173,179,191,197,211,229,239,257,269,271,277,283,311,313,317,331,337,353,359,367,373,383,389,409,421,431,439,443,463,467,487,491,499,509,521,541,547,557,563,571,577,593,599,613,617,619,647,653,659,661,673,691,701,719,733,739,751,757,773,821,823,827,829,857,859,863,877,883,887,907,911,919,
932: 3,13,73,79,103,109,163,181,193,199,223,241,271,313,331,409,433,499,523,601,619,661,691,709,733,739,751,769,823,829,853,859,919,929,
934: 5,23,47,53,71,107,113,137,173,191,233,251,257,281,293,317,347,431,443,467,467,491,503,587,617,641,653,677,683,701,743,761,797,821,827,863,881,887,911,929,
936: 7,17,29,53,59,73,79,83,97,107,109,113,127,139,149,163,167,179,193,197,227,263,277,283,293,317,337,349,359,367,373,379,389,433,449,457,479,487,503,547,557,563,569,577,587,599,619,643,653,659,673,709,739,743,757,769,773,787,797,809,823,827,829,839,853,857,863,877,883,907,919,929,
938: 19,31,61,79,109,127,151,181,199,211,229,277,307,331,337,367,397,439,499,541,571,601,607,631,661,709,727,739,757,787,811,829,859,877,907,919,
940: 3,11,29,53,59,83,101,113,131,167,179,197,239,257,263,281,293,347,353,383,419,431,449,461,479,491,509,521,557,587,593,647,659,677,683,701,743,761,773,809,827,839,857,881,887,911,929,937,
942: 5,13,23,31,59,61,79,83,89,103,113,131,173,181,191,199,223,233,241,251,269,281,283,311,349,373,379,401,419,421,433,439,443,463,479,499,503,509,521,523,541,563,569,593,631,659,661,673,691,701,709,719,743,751,761,769,811,829,839,853,859,863,881,883,911,919,929,937,
944: 3,7,37,61,67,157,193,211,271,283,313,331,337,367,373,397,421,457,487,523,547,571,577,607,613,631,661,673,733,751,787,877,883,907,937,941,
946: 5,17,59,83,89,107,137,149,173,227,263,269,293,347,353,359,383,389,443,467,479,503,557,563,587,593,599,653,677,683,719,773,797,809,839,857,863,887,929,941,
948: 7,11,19,29,37,41,61,67,71,89,109,127,137,139,151,179,191,197,229,239,257,271,307,317,331,347,349,379,401,439,449,457,461,487,491,499,509,547,569,599,601,617,631,641,677,691,709,719,751,757,769,797,809,811,821,839,859,877,881,887,907,911,919,929,937,941,
950: 3,13,31,43,67,73,97,127,139,163,181,193,199,211,223,241,277,307,331,337,349,373,379,409,463,487,541,571,577,601,613,619,643,673,709,727,739,751,757,769,787,811,823,853,877,883,907,919,937,947,
952: 5,11,23,41,71,89,113,131,179,191,233,251,269,293,311,353,359,383,389,431,443,449,461,491,503,509,521,563,569,593,599,641,659,683,701,719,761,773,821,839,863,881,911,929,941,947,
954: 7,13,17,43,47,67,71,73,97,101,127,131,157,167,181,193,197,211,227,263,271,277,281,293,307,311,313,337,347,353,367,383,397,431,433,463,467,487,491,521,523,557,571,587,601,607,617,641,643,647,661,673,677,683,691,727,743,757,761,773,787,797,823,827,853,857,881,883,887,907,911,937,941,947,
956: 3,19,37,73,79,97,103,127,199,223,229,283,313,337,349,379,409,433,457,499,523,547,577,607,619,643,673,727,733,757,829,853,859,877,883,919,937,953,
958: 5,11,17,29,47,71,101,131,137,149,197,239,257,281,311,317,359,389,401,449,467,479,479,491,509,557,569,599,641,647,677,701,719,761,809,821,827,857,887,911,929,941,947,953,
960: 7,13,19,23,31,41,53,73,79,83,97,101,103,107,131,137,139,149,151,163,173,191,199,227,233,241,251,269,277,283,307,313,317,347,353,359,367,373,383,389,397,419,439,457,461,499,503,521,541,563,571,577,587,593,601,607,613,643,647,653,677,683,691,709,719,727,733,761,769,787,797,809,811,821,823,829,853,857,859,863,877,881,887,907,919,929,937,941,947,953,
962: 43,79,103,109,139,151,193,211,223,229,271,331,349,421,439,463,499,523,541,613,631,691,733,739,751,769,811,823,853,859,883,919,
964: 11,17,23,53,83,101,107,137,167,191,263,281,311,317,347,401,443,461,503,521,563,617,647,653,683,701,773,797,827,857,863,881,911,941,947,953,
966: 13,19,29,37,47,59,79,83,89,103,107,109,113,127,137,139,157,179,193,197,223,227,233,239,257,283,293,307,313,347,349,353,359,367,373,379,389,397,409,419,443,457,463,467,479,487,499,503,509,523,547,557,569,577,587,593,599,607,613,617,619,653,659,673,683,709,727,733,739,743,769,773,787,809,827,829,839,853,857,859,863,877,883,887,907,919,929,937,947,953,
968: 31,61,109,139,157,181,199,211,229,241,277,307,337,349,367,397,421,547,571,601,619,631,661,691,727,739,757,769,787,811,829,859,907,937,
970: 3,17,23,29,41,59,83,89,107,113,131,149,173,197,227,251,269,293,311,317,353,383,401,449,461,467,479,491,503,509,521,569,587,617,653,659,677,701,719,743,773,797,821,839,857,863,881,887,911,929,941,947,953,967,
972: 5,19,31,43,53,61,89,109,113,149,151,163,199,211,229,233,239,263,271,281,311,313,331,353,359,373,379,401,409,431,449,463,509,523,541,563,571,593,599,613,619,641,659,661,691,701,709,733,739,743,761,773,809,821,823,859,863,883,911,919,929,941,953,967,
974: 3,7,37,67,97,151,163,223,241,283,313,331,367,373,397,433,487,487,541,577,601,607,643,661,691,733,751,811,823,877,907,937,967,971,
976: 5,23,29,47,89,113,137,149,167,179,233,257,293,317,359,383,389,419,467,509,557,587,593,617,659,683,719,743,797,809,827,839,863,887,929,947,953,971,
978: 7,11,31,37,41,59,67,71,97,101,139,149,151,157,167,181,191,227,239,251,269,277,317,331,337,347,359,379,401,409,421,431,457,479,487,491,499,521,547,557,569,577,599,619,631,641,647,661,701,709,727,739,751,787,797,811,821,827,829,839,877,881,907,911,919,937,941,947,967,971,
980: 3,13,43,61,73,97,103,127,151,157,193,211,223,229,241,271,307,337,349,367,373,379,409,433,439,457,523,541,547,571,601,607,613,631,643,673,709,739,751,757,769,787,823,829,853,877,883,907,919,937,967,977,
982: 5,11,29,41,53,71,101,173,239,263,281,383,389,419,461,479,491,491,503,521,563,593,599,701,719,743,809,881,911,929,941,953,971,977,
984: 7,13,17,31,37,43,47,73,97,101,103,107,127,131,157,163,173,197,211,223,227,233,241,251,257,283,293,307,311,331,337,353,367,383,397,421,443,461,463,521,523,541,563,587,601,617,631,647,653,673,677,691,701,727,733,743,751,757,761,773,787,811,821,827,853,857,877,881,883,887,911,937,941,947,953,967,971,977,
986: 3,19,67,79,103,109,127,157,163,199,229,277,313,367,373,379,409,439,463,487,499,523,547,577,607,613,619,673,709,757,787,823,829,859,877,883,907,919,967,983,
988: 5,11,17,41,47,59,101,107,131,149,167,179,191,227,269,311,347,389,401,419,431,467,479,509,521,557,569,587,599,641,677,719,761,797,809,821,839,857,881,887,929,941,947,971,977,983,
990: 7,13,19,23,37,43,53,61,71,79,83,103,107,109,113,127,131,137,151,163,167,179,181,193,229,233,239,251,257,263,271,281,307,313,317,331,337,347,349,359,373,383,389,397,419,421,433,443,449,467,487,491,499,503,523,541,547,557,569,571,593,601,607,617,631,641,643,653,659,673,677,683,709,719,727,733,739,751,757,761,797,809,811,823,827,839,853,859,863,877,881,883,887,907,911,919,929,937,947,953,967,971,977,983,
992: 73,109,139,163,181,223,241,283,331,349,373,379,421,571,613,619,643,661,709,751,769,811,829,853,883,919,
994: 3,11,17,23,41,47,53,83,107,113,131,137,167,173,197,233,251,293,311,317,347,353,401,431,491,503,563,593,641,647,677,683,701,743,761,797,821,827,857,863,881,887,911,941,947,953,971,977,983,991,
996: 5,13,19,29,43,59,67,89,109,113,137,139,157,167,173,199,223,227,239,257,263,269,277,313,337,349,353,379,383,389,397,409,419,433,439,449,487,509,547,557,563,577,587,599,607,613,617,643,647,659,683,719,727,733,739,757,769,773,797,823,829,839,857,859,883,887,907,929,937,953,967,977,983,991,
998: 7,31,61,79,139,211,229,241,271,307,337,367,379,397,421,457,499,499,541,577,601,619,631,661,691,727,757,769,787,859,919,937,967,991,
1000: 3,17,23,29,47,53,59,71,89,113,137,173,179,191,227,239,257,281,317,347,353,359,383,401,431,443,479,491,509,521,557,569,599,617,641,647,653,683,719,743,761,773,809,821,827,863,887,911,929,941,947,953,971,977,983,997,

Above is even number: meet prime number
Below right to : are primeID, primeArr[1]=prime 3; primeID gap==1, prime gap=
summet[1]= //2,4,...100 more Draw primeID save graph space. a507171610
Below is even number: meet primeID
primeArr[0]=2
6: 1        primeArr[1]=3
8: 1,2      primeArr[2]=5
10: 1,2,2,3 primeArr[3]=7
12: 2,3     //12: 5,7,
omit the following even : primeID
2016-07-18-16-39 here

<a name="docA012">
2016-07-18-16-42 start
Above is even : prime list
Below is prime : even list

Still start from Goldbach conjecture heart formula

6=3+3

8=5+3

10=7+3
10=5+5

12=7+5

14=11+3
14=7+7

16=13+3
16=11+5

18=13+5
18=11+7

20=17+3
20=13+7
.....
For prime 3, 3 meet even the following
3: 6,8,10,14,16,20,22,26,32,34,40,.....

<a name="docA013">
To produce prime meet even list, goto
http://freeman2.com/prime_e1.htm
In Box41 fill in even 6 to 1000
check Output 1,2,3,4? 2  then click
output to Box43 the following

output summet[2].length=168
Next is primeA: even numbers - primeA = primeB.
2:
3: 6,8,10,14,16,20,22,26,32,34,40,44,46,50,56,62,64,70,74,76,82,86,92,100,104,106,110,112,116,130,134,140,142,152,154,160,166,170,176,182,184,194,196,200,202,214,226,230,232,236,242,244,254,260,266,272,274,280,284,286,296,310,314,316,320,334,340,350,352,356,362,370,376,382,386,392,400,404,412,422,424,434,436,442,446,452,460,464,466,470,482,490,494,502,506,512,524,526,544,550,560,566,572,574,580,590,596,602,604,610,616,620,622,634,644,646,650,656,662,664,676,680,686,694,704,712,722,730,736,742,746,754,760,764,772,776,790,800,812,814,824,826,830,832,842,856,860,862,866,880,884,886,890,910,914,922,932,940,944,950,956,970,974,980,986,994,1000
5: 8,10,10,12,16,18,22,24,28,34,36,42,46,48,52,58,64,66,72,76,78,84,88,94,102,106,108,112,114,118,132,136,142,144,154,156,162,168,172,178,184,186,196,198,202,204,216,228,232,234,238,244,246,256,262,268,274,276,282,286,288,298,312,316,318,322,336,342,352,354,358,364,372,378,384,388,394,402,406,414,424,426,436,438,444,448,454,462,466,468,472,484,492,496,504,508,514,526,528,546,552,562,568,574,576,582,592,598,604,606,612,618,622,624,636,646,648,652,658,664,666,678,682,688,696,706,714,724,732,738,744,748,756,762,766,774,778,792,802,814,816,826,828,832,834,844,858,862,864,868,882,886,888,892,912,916,924,934,942,946,952,958,972,976,982,988,996
7: 10,12,14,14,18,20,24,26,30,36,38,44,48,50,54,60,66,68,74,78,80,86,90,96,104,108,110,114,116,120,134,138,144,146,156,158,164,170,174,180,186,188,198,200,204,206,218,230,234,236,240,246,248,258,264,270,276,278,284,288,290,300,314,318,320,324,338,344,354,356,360,366,374,380,386,390,396,404,408,416,426,428,438,440,446,450,456,464,468,470,474,486,494,498,506,510,516,528,530,548,554,564,570,576,578,584,594,600,606,608,614,620,624,626,638,648,650,654,660,666,668,680,684,690,698,708,716,726,734,740,746,750,758,764,768,776,780,794,804,816,818,828,830,834,836,846,860,864,866,870,884,888,890,894,914,918,926,936,944,948,954,960,974,978,984,990,998
11: 14,16,18,22,22,24,28,30,34,40,42,48,52,54,58,64,70,72,78,82,84,90,94,100,108,112,114,118,120,124,138,142,148,150,160,162,168,174,178,184,190,192,202,204,208,210,222,234,238,240,244,250,252,262,268,274,280,282,288,292,294,304,318,322,324,328,342,348,358,360,364,370,378,384,390,394,400,408,412,420,430,432,442,444,450,454,460,468,472,474,478,490,498,502,510,514,520,532,534,552,558,568,574,580,582,588,598,604,610,612,618,624,628,630,642,652,654,658,664,670,672,684,688,694,702,712,720,730,738,744,750,754,762,768,772,780,784,798,808,820,822,832,834,838,840,850,864,868,870,874,888,892,894,898,918,922,930,940,948,952,958,964,978,982,988,994
13: 16,18,20,24,26,26,30,32,36,42,44,50,54,56,60,66,72,74,80,84,86,92,96,102,110,114,116,120,122,126,140,144,150,152,162,164,170,176,180,186,192,194,204,206,210,212,224,236,240,242,246,252,254,264,270,276,282,284,290,294,296,306,320,324,326,330,344,350,360,362,366,372,380,386,392,396,402,410,414,422,432,434,444,446,452,456,462,470,474,476,480,492,500,504,512,516,522,534,536,554,560,570,576,582,584,590,600,606,612,614,620,626,630,632,644,654,656,660,666,672,674,686,690,696,704,714,722,732,740,746,752,756,764,770,774,782,786,800,810,822,824,834,836,840,842,852,866,870,872,876,890,894,896,900,920,924,932,942,950,954,960,966,980,984,990,996
17: 20,22,24,28,30,34,34,36,40,46,48,54,58,60,64,70,76,78,84,88,90,96,100,106,114,118,120,124,126,130,144,148,154,156,166,168,174,180,184,190,196,198,208,210,214,216,228,240,244,246,250,256,258,268,274,280,286,288,294,298,300,310,324,328,330,334,348,354,364,366,370,376,384,390,396,400,406,414,418,426,436,438,448,450,456,460,466,474,478,480,484,496,504,508,516,520,526,538,540,558,564,574,580,586,588,594,604,610,616,618,624,630,634,636,648,658,660,664,670,676,678,690,694,700,708,718,726,736,744,750,756,760,768,774,778,786,790,804,814,826,828,838,840,844,846,856,870,874,876,880,894,898,900,904,924,928,936,946,954,958,964,970,984,988,994,1000
19: 22,24,26,30,32,36,38,38,42,48,50,56,60,62,66,72,78,80,86,90,92,98,102,108,116,120,122,126,128,132,146,150,156,158,168,170,176,182,186,192,198,200,210,212,216,218,230,242,246,248,252,258,260,270,276,282,288,290,296,300,302,312,326,330,332,336,350,356,366,368,372,378,386,392,398,402,408,416,420,428,438,440,450,452,458,462,468,476,480,482,486,498,506,510,518,522,528,540,542,560,566,576,582,588,590,596,606,612,618,620,626,632,636,638,650,660,662,666,672,678,680,692,696,702,710,720,728,738,746,752,758,762,770,776,780,788,792,806,816,828,830,840,842,846,848,858,872,876,878,882,896,900,902,906,926,930,938,948,956,960,966,972,986,990,996
23: 26,28,30,34,36,40,42,46,46,52,54,60,64,66,70,76,82,84,90,94,96,102,106,112,120,124,126,130,132,136,150,154,160,162,172,174,180,186,190,196,202,204,214,216,220,222,234,246,250,252,256,262,264,274,280,286,292,294,300,304,306,316,330,334,336,340,354,360,370,372,376,382,390,396,402,406,412,420,424,432,442,444,454,456,462,466,472,480,484,486,490,502,510,514,522,526,532,544,546,564,570,580,586,592,594,600,610,616,622,624,630,636,640,642,654,664,666,670,676,682,684,696,700,706,714,724,732,742,750,756,762,766,774,780,784,792,796,810,820,832,834,844,846,850,852,862,876,880,882,886,900,904,906,910,930,934,942,952,960,964,970,976,990,994,1000
29: 32,34,36,40,42,46,48,52,58,58,60,66,70,72,76,82,88,90,96,100,102,108,112,118,126,130,132,136,138,142,156,160,166,168,178,180,186,192,196,202,208,210,220,222,226,228,240,252,256,258,262,268,270,280,286,292,298,300,306,310,312,322,336,340,342,346,360,366,376,378,382,388,396,402,408,412,418,426,430,438,448,450,460,462,468,472,478,486,490,492,496,508,516,520,528,532,538,550,552,570,576,586,592,598,600,606,616,622,628,630,636,642,646,648,660,670,672,676,682,688,690,702,706,712,720,730,738,748,756,762,768,772,780,786,790,798,802,816,826,838,840,850,852,856,858,868,882,886,888,892,906,910,912,916,936,940,948,958,966,970,976,982,996,1000
31: 34,36,38,42,44,48,50,54,60,62,62,68,72,74,78,84,90,92,98,102,104,110,114,120,128,132,134,138,140,144,158,162,168,170,180,182,188,194,198,204,210,212,222,224,228,230,242,254,258,260,264,270,272,282,288,294,300,302,308,312,314,324,338,342,344,348,362,368,378,380,384,390,398,404,410,414,420,428,432,440,450,452,462,464,470,474,480,488,492,494,498,510,518,522,530,534,540,552,554,572,578,588,594,600,602,608,618,624,630,632,638,644,648,650,662,672,674,678,684,690,692,704,708,714,722,732,740,750,758,764,770,774,782,788,792,800,804,818,828,840,842,852,854,858,860,870,884,888,890,894,908,912,914,918,938,942,950,960,968,972,978,984,998
37: 40,42,44,48,50,54,56,60,66,68,74,74,78,80,84,90,96,98,104,108,110,116,120,126,134,138,140,144,146,150,164,168,174,176,186,188,194,200,204,210,216,218,228,230,234,236,248,260,264,266,270,276,278,288,294,300,306,308,314,318,320,330,344,348,350,354,368,374,384,386,390,396,404,410,416,420,426,434,438,446,456,458,468,470,476,480,486,494,498,500,504,516,524,528,536,540,546,558,560,578,584,594,600,606,608,614,624,630,636,638,644,650,654,656,668,678,680,684,690,696,698,710,714,720,728,738,746,756,764,770,776,780,788,794,798,806,810,824,834,846,848,858,860,864,866,876,890,894,896,900,914,918,920,924,944,948,956,966,974,978,984,990
41: 44,46,48,52,54,58,60,64,70,72,78,82,82,84,88,94,100,102,108,112,114,120,124,130,138,142,144,148,150,154,168,172,178,180,190,192,198,204,208,214,220,222,232,234,238,240,252,264,268,270,274,280,282,292,298,304,310,312,318,322,324,334,348,352,354,358,372,378,388,390,394,400,408,414,420,424,430,438,442,450,460,462,472,474,480,484,490,498,502,504,508,520,528,532,540,544,550,562,564,582,588,598,604,610,612,618,628,634,640,642,648,654,658,660,672,682,684,688,694,700,702,714,718,724,732,742,750,760,768,774,780,784,792,798,802,810,814,828,838,850,852,862,864,868,870,880,894,898,900,904,918,922,924,928,948,952,960,970,978,982,988,994
43: 46,48,50,54,56,60,62,66,72,74,80,84,86,86,90,96,102,104,110,114,116,122,126,132,140,144,146,150,152,156,170,174,180,182,192,194,200,206,210,216,222,224,234,236,240,242,254,266,270,272,276,282,284,294,300,306,312,314,320,324,326,336,350,354,356,360,374,380,390,392,396,402,410,416,422,426,432,440,444,452,462,464,474,476,482,486,492,500,504,506,510,522,530,534,542,546,552,564,566,584,590,600,606,612,614,620,630,636,642,644,650,656,660,662,674,684,686,690,696,702,704,716,720,726,734,744,752,762,770,776,782,786,794,800,804,812,816,830,840,852,854,864,866,870,872,882,896,900,902,906,920,924,926,930,950,954,962,972,980,984,990,996
47: 50,52,54,58,60,64,66,70,76,78,84,88,90,94,94,100,106,108,114,118,120,126,130,136,144,148,150,154,156,160,174,178,184,186,196,198,204,210,214,220,226,228,238,240,244,246,258,270,274,276,280,286,288,298,304,310,316,318,324,328,330,340,354,358,360,364,378,384,394,396,400,406,414,420,426,430,436,444,448,456,466,468,478,480,486,490,496,504,508,510,514,526,534,538,546,550,556,568,570,588,594,604,610,616,618,624,634,640,646,648,654,660,664,666,678,688,690,694,700,706,708,720,724,730,738,748,756,766,774,780,786,790,798,804,808,816,820,834,844,856,858,868,870,874,876,886,900,904,906,910,924,928,930,934,954,958,966,976,984,988,994,1000
53: 56,58,60,64,66,70,72,76,82,84,90,94,96,100,106,106,112,114,120,124,126,132,136,142,150,154,156,160,162,166,180,184,190,192,202,204,210,216,220,226,232,234,244,246,250,252,264,276,280,282,286,292,294,304,310,316,322,324,330,334,336,346,360,364,366,370,384,390,400,402,406,412,420,426,432,436,442,450,454,462,472,474,484,486,492,496,502,510,514,516,520,532,540,544,552,556,562,574,576,594,600,610,616,622,624,630,640,646,652,654,660,666,670,672,684,694,696,700,706,712,714,726,730,736,744,754,762,772,780,786,792,796,804,810,814,822,826,840,850,862,864,874,876,880,882,892,906,910,912,916,930,934,936,940,960,964,972,982,990,994,1000
59: 62,64,66,70,72,76,78,82,88,90,96,100,102,106,112,118,118,120,126,130,132,138,142,148,156,160,162,166,168,172,186,190,196,198,208,210,216,222,226,232,238,240,250,252,256,258,270,282,286,288,292,298,300,310,316,322,328,330,336,340,342,352,366,370,372,376,390,396,406,408,412,418,426,432,438,442,448,456,460,468,478,480,490,492,498,502,508,516,520,522,526,538,546,550,558,562,568,580,582,600,606,616,622,628,630,636,646,652,658,660,666,672,676,678,690,700,702,706,712,718,720,732,736,742,750,760,768,778,786,792,798,802,810,816,820,828,832,846,856,868,870,880,882,886,888,898,912,916,918,922,936,940,942,946,966,970,978,988,996,1000
61: 64,66,68,72,74,78,80,84,90,92,98,102,104,108,114,120,122,122,128,132,134,140,144,150,158,162,164,168,170,174,188,192,198,200,210,212,218,224,228,234,240,242,252,254,258,260,272,284,288,290,294,300,302,312,318,324,330,332,338,342,344,354,368,372,374,378,392,398,408,410,414,420,428,434,440,444,450,458,462,470,480,482,492,494,500,504,510,518,522,524,528,540,548,552,560,564,570,582,584,602,608,618,624,630,632,638,648,654,660,662,668,674,678,680,692,702,704,708,714,720,722,734,738,744,752,762,770,780,788,794,800,804,812,818,822,830,834,848,858,870,872,882,884,888,890,900,914,918,920,924,938,942,944,948,968,972,980,990,998
67: 70,72,74,78,80,84,86,90,96,98,104,108,110,114,120,126,128,134,134,138,140,146,150,156,164,168,170,174,176,180,194,198,204,206,216,218,224,230,234,240,246,248,258,260,264,266,278,290,294,296,300,306,308,318,324,330,336,338,344,348,350,360,374,378,380,384,398,404,414,416,420,426,434,440,446,450,456,464,468,476,486,488,498,500,506,510,516,524,528,530,534,546,554,558,566,570,576,588,590,608,614,624,630,636,638,644,654,660,666,668,674,680,684,686,698,708,710,714,720,726,728,740,744,750,758,768,776,786,794,800,806,810,818,824,828,836,840,854,864,876,878,888,890,894,896,906,920,924,926,930,944,948,950,954,974,978,986,996
71: 74,76,78,82,84,88,90,94,100,102,108,112,114,118,124,130,132,138,142,142,144,150,154,160,168,172,174,178,180,184,198,202,208,210,220,222,228,234,238,244,250,252,262,264,268,270,282,294,298,300,304,310,312,322,328,334,340,342,348,352,354,364,378,382,384,388,402,408,418,420,424,430,438,444,450,454,460,468,472,480,490,492,502,504,510,514,520,528,532,534,538,550,558,562,570,574,580,592,594,612,618,628,634,640,642,648,658,664,670,672,678,684,688,690,702,712,714,718,724,730,732,744,748,754,762,772,780,790,798,804,810,814,822,828,832,840,844,858,868,880,882,892,894,898,900,910,924,928,930,934,948,952,954,958,978,982,990,1000
73: 76,78,80,84,86,90,92,96,102,104,110,114,116,120,126,132,134,140,144,146,146,152,156,162,170,174,176,180,182,186,200,204,210,212,222,224,230,236,240,246,252,254,264,266,270,272,284,296,300,302,306,312,314,324,330,336,342,344,350,354,356,366,380,384,386,390,404,410,420,422,426,432,440,446,452,456,462,470,474,482,492,494,504,506,512,516,522,530,534,536,540,552,560,564,572,576,582,594,596,614,620,630,636,642,644,650,660,666,672,674,680,686,690,692,704,714,716,720,726,732,734,746,750,756,764,774,782,792,800,806,812,816,824,830,834,842,846,860,870,882,884,894,896,900,902,912,926,930,932,936,950,954,956,960,980,984,992
79: 82,84,86,90,92,96,98,102,108,110,116,120,122,126,132,138,140,146,150,152,158,158,162,168,176,180,182,186,188,192,206,210,216,218,228,230,236,242,246,252,258,260,270,272,276,278,290,302,306,308,312,318,320,330,336,342,348,350,356,360,362,372,386,390,392,396,410,416,426,428,432,438,446,452,458,462,468,476,480,488,498,500,510,512,518,522,528,536,540,542,546,558,566,570,578,582,588,600,602,620,626,636,642,648,650,656,666,672,678,680,686,692,696,698,710,720,722,726,732,738,740,752,756,762,770,780,788,798,806,812,818,822,830,836,840,848,852,866,876,888,890,900,902,906,908,918,932,936,938,942,956,960,962,966,986,990,998
83: 86,88,90,94,96,100,102,106,112,114,120,124,126,130,136,142,144,150,154,156,162,166,166,172,180,184,186,190,192,196,210,214,220,222,232,234,240,246,250,256,262,264,274,276,280,282,294,306,310,312,316,322,324,334,340,346,352,354,360,364,366,376,390,394,396,400,414,420,430,432,436,442,450,456,462,466,472,480,484,492,502,504,514,516,522,526,532,540,544,546,550,562,570,574,582,586,592,604,606,624,630,640,646,652,654,660,670,676,682,684,690,696,700,702,714,724,726,730,736,742,744,756,760,766,774,784,792,802,810,816,822,826,834,840,844,852,856,870,880,892,894,904,906,910,912,922,936,940,942,946,960,964,966,970,990,994
89: 92,94,96,100,102,106,108,112,118,120,126,130,132,136,142,148,150,156,160,162,168,172,178,178,186,190,192,196,198,202,216,220,226,228,238,240,246,252,256,262,268,270,280,282,286,288,300,312,316,318,322,328,330,340,346,352,358,360,366,370,372,382,396,400,402,406,420,426,436,438,442,448,456,462,468,472,478,486,490,498,508,510,520,522,528,532,538,546,550,552,556,568,576,580,588,592,598,610,612,630,636,646,652,658,660,666,676,682,688,690,696,702,706,708,720,730,732,736,742,748,750,762,766,772,780,790,798,808,816,822,828,832,840,846,850,858,862,876,886,898,900,910,912,916,918,928,942,946,948,952,966,970,972,976,996,1000
97: 100,102,104,108,110,114,116,120,126,128,134,138,140,144,150,156,158,164,168,170,176,180,186,194,194,198,200,204,206,210,224,228,234,236,246,248,254,260,264,270,276,278,288,290,294,296,308,320,324,326,330,336,338,348,354,360,366,368,374,378,380,390,404,408,410,414,428,434,444,446,450,456,464,470,476,480,486,494,498,506,516,518,528,530,536,540,546,554,558,560,564,576,584,588,596,600,606,618,620,638,644,654,660,666,668,674,684,690,696,698,704,710,714,716,728,738,740,744,750,756,758,770,774,780,788,798,806,816,824,830,836,840,848,854,858,866,870,884,894,906,908,918,920,924,926,936,950,954,956,960,974,978,980,984
101: 104,106,108,112,114,118,120,124,130,132,138,142,144,148,154,160,162,168,172,174,180,184,190,198,202,202,204,208,210,214,228,232,238,240,250,252,258,264,268,274,280,282,292,294,298,300,312,324,328,330,334,340,342,352,358,364,370,372,378,382,384,394,408,412,414,418,432,438,448,450,454,460,468,474,480,484,490,498,502,510,520,522,532,534,540,544,550,558,562,564,568,580,588,592,600,604,610,622,624,642,648,658,664,670,672,678,688,694,700,702,708,714,718,720,732,742,744,748,754,760,762,774,778,784,792,802,810,820,828,834,840,844,852,858,862,870,874,888,898,910,912,922,924,928,930,940,954,958,960,964,978,982,984,988
103: 106,108,110,114,116,120,122,126,132,134,140,144,146,150,156,162,164,170,174,176,182,186,192,200,204,206,206,210,212,216,230,234,240,242,252,254,260,266,270,276,282,284,294,296,300,302,314,326,330,332,336,342,344,354,360,366,372,374,380,384,386,396,410,414,416,420,434,440,450,452,456,462,470,476,482,486,492,500,504,512,522,524,534,536,542,546,552,560,564,566,570,582,590,594,602,606,612,624,626,644,650,660,666,672,674,680,690,696,702,704,710,716,720,722,734,744,746,750,756,762,764,776,780,786,794,804,812,822,830,836,842,846,854,860,864,872,876,890,900,912,914,924,926,930,932,942,956,960,962,966,980,984,986,990
107: 110,112,114,118,120,124,126,130,136,138,144,148,150,154,160,166,168,174,178,180,186,190,196,204,208,210,214,214,216,220,234,238,244,246,256,258,264,270,274,280,286,288,298,300,304,306,318,330,334,336,340,346,348,358,364,370,376,378,384,388,390,400,414,418,420,424,438,444,454,456,460,466,474,480,486,490,496,504,508,516,526,528,538,540,546,550,556,564,568,570,574,586,594,598,606,610,616,628,630,648,654,664,670,676,678,684,694,700,706,708,714,720,724,726,738,748,750,754,760,766,768,780,784,790,798,808,816,826,834,840,846,850,858,864,868,876,880,894,904,916,918,928,930,934,936,946,960,964,966,970,984,988,990,994
109: 112,114,116,120,122,126,128,132,138,140,146,150,152,156,162,168,170,176,180,182,188,192,198,206,210,212,216,218,218,222,236,240,246,248,258,260,266,272,276,282,288,290,300,302,306,308,320,332,336,338,342,348,350,360,366,372,378,380,386,390,392,402,416,420,422,426,440,446,456,458,462,468,476,482,488,492,498,506,510,518,528,530,540,542,548,552,558,566,570,572,576,588,596,600,608,612,618,630,632,650,656,666,672,678,680,686,696,702,708,710,716,722,726,728,740,750,752,756,762,768,770,782,786,792,800,810,818,828,836,842,848,852,860,866,870,878,882,896,906,918,920,930,932,936,938,948,962,966,968,972,986,990,992,996
113: 116,118,120,124,126,130,132,136,142,144,150,154,156,160,166,172,174,180,184,186,192,196,202,210,214,216,220,222,226,226,240,244,250,252,262,264,270,276,280,286,292,294,304,306,310,312,324,336,340,342,346,352,354,364,370,376,382,384,390,394,396,406,420,424,426,430,444,450,460,462,466,472,480,486,492,496,502,510,514,522,532,534,544,546,552,556,562,570,574,576,580,592,600,604,612,616,622,634,636,654,660,670,676,682,684,690,700,706,712,714,720,726,730,732,744,754,756,760,766,772,774,786,790,796,804,814,822,832,840,846,852,856,864,870,874,882,886,900,910,922,924,934,936,940,942,952,966,970,972,976,990,994,996,1000
127: 130,132,134,138,140,144,146,150,156,158,164,168,170,174,180,186,188,194,198,200,206,210,216,224,228,230,234,236,240,254,254,258,264,266,276,278,284,290,294,300,306,308,318,320,324,326,338,350,354,356,360,366,368,378,384,390,396,398,404,408,410,420,434,438,440,444,458,464,474,476,480,486,494,500,506,510,516,524,528,536,546,548,558,560,566,570,576,584,588,590,594,606,614,618,626,630,636,648,650,668,674,684,690,696,698,704,714,720,726,728,734,740,744,746,758,768,770,774,780,786,788,800,804,810,818,828,836,846,854,860,866,870,878,884,888,896,900,914,924,936,938,948,950,954,956,966,980,984,986,990
131: 134,136,138,142,144,148,150,154,160,162,168,172,174,178,184,190,192,198,202,204,210,214,220,228,232,234,238,240,244,258,262,262,268,270,280,282,288,294,298,304,310,312,322,324,328,330,342,354,358,360,364,370,372,382,388,394,400,402,408,412,414,424,438,442,444,448,462,468,478,480,484,490,498,504,510,514,520,528,532,540,550,552,562,564,570,574,580,588,592,594,598,610,618,622,630,634,640,652,654,672,678,688,694,700,702,708,718,724,730,732,738,744,748,750,762,772,774,778,784,790,792,804,808,814,822,832,840,850,858,864,870,874,882,888,892,900,904,918,928,940,942,952,954,958,960,970,984,988,990,994
137: 140,142,144,148,150,154,156,160,166,168,174,178,180,184,190,196,198,204,208,210,216,220,226,234,238,240,244,246,250,264,268,274,274,276,286,288,294,300,304,310,316,318,328,330,334,336,348,360,364,366,370,376,378,388,394,400,406,408,414,418,420,430,444,448,450,454,468,474,484,486,490,496,504,510,516,520,526,534,538,546,556,558,568,570,576,580,586,594,598,600,604,616,624,628,636,640,646,658,660,678,684,694,700,706,708,714,724,730,736,738,744,750,754,756,768,778,780,784,790,796,798,810,814,820,828,838,846,856,864,870,876,880,888,894,898,906,910,924,934,946,948,958,960,964,966,976,990,994,996,1000
139: 142,144,146,150,152,156,158,162,168,170,176,180,182,186,192,198,200,206,210,212,218,222,228,236,240,242,246,248,252,266,270,276,278,278,288,290,296,302,306,312,318,320,330,332,336,338,350,362,366,368,372,378,380,390,396,402,408,410,416,420,422,432,446,450,452,456,470,476,486,488,492,498,506,512,518,522,528,536,540,548,558,560,570,572,578,582,588,596,600,602,606,618,626,630,638,642,648,660,662,680,686,696,702,708,710,716,726,732,738,740,746,752,756,758,770,780,782,786,792,798,800,812,816,822,830,840,848,858,866,872,878,882,890,896,900,908,912,926,936,948,950,960,962,966,968,978,992,996,998
149: 152,154,156,160,162,166,168,172,178,180,186,190,192,196,202,208,210,216,220,222,228,232,238,246,250,252,256,258,262,276,280,286,288,298,298,300,306,312,316,322,328,330,340,342,346,348,360,372,376,378,382,388,390,400,406,412,418,420,426,430,432,442,456,460,462,466,480,486,496,498,502,508,516,522,528,532,538,546,550,558,568,570,580,582,588,592,598,606,610,612,616,628,636,640,648,652,658,670,672,690,696,706,712,718,720,726,736,742,748,750,756,762,766,768,780,790,792,796,802,808,810,822,826,832,840,850,858,868,876,882,888,892,900,906,910,918,922,936,946,958,960,970,972,976,978,988
151: 154,156,158,162,164,168,170,174,180,182,188,192,194,198,204,210,212,218,222,224,230,234,240,248,252,254,258,260,264,278,282,288,290,300,302,302,308,314,318,324,330,332,342,344,348,350,362,374,378,380,384,390,392,402,408,414,420,422,428,432,434,444,458,462,464,468,482,488,498,500,504,510,518,524,530,534,540,548,552,560,570,572,582,584,590,594,600,608,612,614,618,630,638,642,650,654,660,672,674,692,698,708,714,720,722,728,738,744,750,752,758,764,768,770,782,792,794,798,804,810,812,824,828,834,842,852,860,870,878,884,890,894,902,908,912,920,924,938,948,960,962,972,974,978,980,990
157: 160,162,164,168,170,174,176,180,186,188,194,198,200,204,210,216,218,224,228,230,236,240,246,254,258,260,264,266,270,284,288,294,296,306,308,314,314,320,324,330,336,338,348,350,354,356,368,380,384,386,390,396,398,408,414,420,426,428,434,438,440,450,464,468,470,474,488,494,504,506,510,516,524,530,536,540,546,554,558,566,576,578,588,590,596,600,606,614,618,620,624,636,644,648,656,660,666,678,680,698,704,714,720,726,728,734,744,750,756,758,764,770,774,776,788,798,800,804,810,816,818,830,834,840,848,858,866,876,884,890,896,900,908,914,918,926,930,944,954,966,968,978,980,984,986,996
163: 166,168,170,174,176,180,182,186,192,194,200,204,206,210,216,222,224,230,234,236,242,246,252,260,264,266,270,272,276,290,294,300,302,312,314,320,326,326,330,336,342,344,354,356,360,362,374,386,390,392,396,402,404,414,420,426,432,434,440,444,446,456,470,474,476,480,494,500,510,512,516,522,530,536,542,546,552,560,564,572,582,584,594,596,602,606,612,620,624,626,630,642,650,654,662,666,672,684,686,704,710,720,726,732,734,740,750,756,762,764,770,776,780,782,794,804,806,810,816,822,824,836,840,846,854,864,872,882,890,896,902,906,914,920,924,932,936,950,960,972,974,984,986,990,992
167: 170,172,174,178,180,184,186,190,196,198,204,208,210,214,220,226,228,234,238,240,246,250,256,264,268,270,274,276,280,294,298,304,306,316,318,324,330,334,334,340,346,348,358,360,364,366,378,390,394,396,400,406,408,418,424,430,436,438,444,448,450,460,474,478,480,484,498,504,514,516,520,526,534,540,546,550,556,564,568,576,586,588,598,600,606,610,616,624,628,630,634,646,654,658,666,670,676,688,690,708,714,724,730,736,738,744,754,760,766,768,774,780,784,786,798,808,810,814,820,826,828,840,844,850,858,868,876,886,894,900,906,910,918,924,928,936,940,954,964,976,978,988,990,994,996
173: 176,178,180,184,186,190,192,196,202,204,210,214,216,220,226,232,234,240,244,246,252,256,262,270,274,276,280,282,286,300,304,310,312,322,324,330,336,340,346,346,352,354,364,366,370,372,384,396,400,402,406,412,414,424,430,436,442,444,450,454,456,466,480,484,486,490,504,510,520,522,526,532,540,546,552,556,562,570,574,582,592,594,604,606,612,616,622,630,634,636,640,652,660,664,672,676,682,694,696,714,720,730,736,742,744,750,760,766,772,774,780,786,790,792,804,814,816,820,826,832,834,846,850,856,864,874,882,892,900,906,912,916,924,930,934,942,946,960,970,982,984,994,996,1000
179: 182,184,186,190,192,196,198,202,208,210,216,220,222,226,232,238,240,246,250,252,258,262,268,276,280,282,286,288,292,306,310,316,318,328,330,336,342,346,352,358,358,360,370,372,376,378,390,402,406,408,412,418,420,430,436,442,448,450,456,460,462,472,486,490,492,496,510,516,526,528,532,538,546,552,558,562,568,576,580,588,598,600,610,612,618,622,628,636,640,642,646,658,666,670,678,682,688,700,702,720,726,736,742,748,750,756,766,772,778,780,786,792,796,798,810,820,822,826,832,838,840,852,856,862,870,880,888,898,906,912,918,922,930,936,940,948,952,966,976,988,990,1000
181: 184,186,188,192,194,198,200,204,210,212,218,222,224,228,234,240,242,248,252,254,260,264,270,278,282,284,288,290,294,308,312,318,320,330,332,338,344,348,354,360,362,362,372,374,378,380,392,404,408,410,414,420,422,432,438,444,450,452,458,462,464,474,488,492,494,498,512,518,528,530,534,540,548,554,560,564,570,578,582,590,600,602,612,614,620,624,630,638,642,644,648,660,668,672,680,684,690,702,704,722,728,738,744,750,752,758,768,774,780,782,788,794,798,800,812,822,824,828,834,840,842,854,858,864,872,882,890,900,908,914,920,924,932,938,942,950,954,968,978,990,992
191: 194,196,198,202,204,208,210,214,220,222,228,232,234,238,244,250,252,258,262,264,270,274,280,288,292,294,298,300,304,318,322,328,330,340,342,348,354,358,364,370,372,382,382,384,388,390,402,414,418,420,424,430,432,442,448,454,460,462,468,472,474,484,498,502,504,508,522,528,538,540,544,550,558,564,570,574,580,588,592,600,610,612,622,624,630,634,640,648,652,654,658,670,678,682,690,694,700,712,714,732,738,748,754,760,762,768,778,784,790,792,798,804,808,810,822,832,834,838,844,850,852,864,868,874,882,892,900,910,918,924,930,934,942,948,952,960,964,978,988,1000
193: 196,198,200,204,206,210,212,216,222,224,230,234,236,240,246,252,254,260,264,266,272,276,282,290,294,296,300,302,306,320,324,330,332,342,344,350,356,360,366,372,374,384,386,386,390,392,404,416,420,422,426,432,434,444,450,456,462,464,470,474,476,486,500,504,506,510,524,530,540,542,546,552,560,566,572,576,582,590,594,602,612,614,624,626,632,636,642,650,654,656,660,672,680,684,692,696,702,714,716,734,740,750,756,762,764,770,780,786,792,794,800,806,810,812,824,834,836,840,846,852,854,866,870,876,884,894,902,912,920,926,932,936,944,950,954,962,966,980,990
197: 200,202,204,208,210,214,216,220,226,228,234,238,240,244,250,256,258,264,268,270,276,280,286,294,298,300,304,306,310,324,328,334,336,346,348,354,360,364,370,376,378,388,390,394,394,396,408,420,424,426,430,436,438,448,454,460,466,468,474,478,480,490,504,508,510,514,528,534,544,546,550,556,564,570,576,580,586,594,598,606,616,618,628,630,636,640,646,654,658,660,664,676,684,688,696,700,706,718,720,738,744,754,760,766,768,774,784,790,796,798,804,810,814,816,828,838,840,844,850,856,858,870,874,880,888,898,906,916,924,930,936,940,948,954,958,966,970,984,994
199: 202,204,206,210,212,216,218,222,228,230,236,240,242,246,252,258,260,266,270,272,278,282,288,296,300,302,306,308,312,326,330,336,338,348,350,356,362,366,372,378,380,390,392,396,398,398,410,422,426,428,432,438,440,450,456,462,468,470,476,480,482,492,506,510,512,516,530,536,546,548,552,558,566,572,578,582,588,596,600,608,618,620,630,632,638,642,648,656,660,662,666,678,686,690,698,702,708,720,722,740,746,756,762,768,770,776,786,792,798,800,806,812,816,818,830,840,842,846,852,858,860,872,876,882,890,900,908,918,926,932,938,942,950,956,960,968,972,986,996
211: 214,216,218,222,224,228,230,234,240,242,248,252,254,258,264,270,272,278,282,284,290,294,300,308,312,314,318,320,324,338,342,348,350,360,362,368,374,378,384,390,392,402,404,408,410,422,422,434,438,440,444,450,452,462,468,474,480,482,488,492,494,504,518,522,524,528,542,548,558,560,564,570,578,584,590,594,600,608,612,620,630,632,642,644,650,654,660,668,672,674,678,690,698,702,710,714,720,732,734,752,758,768,774,780,782,788,798,804,810,812,818,824,828,830,842,852,854,858,864,870,872,884,888,894,902,912,920,930,938,944,950,954,962,968,972,980,984,998
223: 226,228,230,234,236,240,242,246,252,254,260,264,266,270,276,282,284,290,294,296,302,306,312,320,324,326,330,332,336,350,354,360,362,372,374,380,386,390,396,402,404,414,416,420,422,434,446,446,450,452,456,462,464,474,480,486,492,494,500,504,506,516,530,534,536,540,554,560,570,572,576,582,590,596,602,606,612,620,624,632,642,644,654,656,662,666,672,680,684,686,690,702,710,714,722,726,732,744,746,764,770,780,786,792,794,800,810,816,822,824,830,836,840,842,854,864,866,870,876,882,884,896,900,906,914,924,932,942,950,956,962,966,974,980,984,992,996
227: 230,232,234,238,240,244,246,250,256,258,264,268,270,274,280,286,288,294,298,300,306,310,316,324,328,330,334,336,340,354,358,364,366,376,378,384,390,394,400,406,408,418,420,424,426,438,450,454,454,456,460,466,468,478,484,490,496,498,504,508,510,520,534,538,540,544,558,564,574,576,580,586,594,600,606,610,616,624,628,636,646,648,658,660,666,670,676,684,688,690,694,706,714,718,726,730,736,748,750,768,774,784,790,796,798,804,814,820,826,828,834,840,844,846,858,868,870,874,880,886,888,900,904,910,918,928,936,946,954,960,966,970,978,984,988,996,1000
229: 232,234,236,240,242,246,248,252,258,260,266,270,272,276,282,288,290,296,300,302,308,312,318,326,330,332,336,338,342,356,360,366,368,378,380,386,392,396,402,408,410,420,422,426,428,440,452,456,458,458,462,468,470,480,486,492,498,500,506,510,512,522,536,540,542,546,560,566,576,578,582,588,596,602,608,612,618,626,630,638,648,650,660,662,668,672,678,686,690,692,696,708,716,720,728,732,738,750,752,770,776,786,792,798,800,806,816,822,828,830,836,842,846,848,860,870,872,876,882,888,890,902,906,912,920,930,938,948,956,962,968,972,980,986,990,998
233: 236,238,240,244,246,250,252,256,262,264,270,274,276,280,286,292,294,300,304,306,312,316,322,330,334,336,340,342,346,360,364,370,372,382,384,390,396,400,406,412,414,424,426,430,432,444,456,460,462,466,466,472,474,484,490,496,502,504,510,514,516,526,540,544,546,550,564,570,580,582,586,592,600,606,612,616,622,630,634,642,652,654,664,666,672,676,682,690,694,696,700,712,720,724,732,736,742,754,756,774,780,790,796,802,804,810,820,826,832,834,840,846,850,852,864,874,876,880,886,892,894,906,910,916,924,934,942,952,960,966,972,976,984,990,994
239: 242,244,246,250,252,256,258,262,268,270,276,280,282,286,292,298,300,306,310,312,318,322,328,336,340,342,346,348,352,366,370,376,378,388,390,396,402,406,412,418,420,430,432,436,438,450,462,466,468,472,478,478,480,490,496,502,508,510,516,520,522,532,546,550,552,556,570,576,586,588,592,598,606,612,618,622,628,636,640,648,658,660,670,672,678,682,688,696,700,702,706,718,726,730,738,742,748,760,762,780,786,796,802,808,810,816,826,832,838,840,846,852,856,858,870,880,882,886,892,898,900,912,916,922,930,940,948,958,966,972,978,982,990,996,1000
241: 244,246,248,252,254,258,260,264,270,272,278,282,284,288,294,300,302,308,312,314,320,324,330,338,342,344,348,350,354,368,372,378,380,390,392,398,404,408,414,420,422,432,434,438,440,452,464,468,470,474,480,482,482,492,498,504,510,512,518,522,524,534,548,552,554,558,572,578,588,590,594,600,608,614,620,624,630,638,642,650,660,662,672,674,680,684,690,698,702,704,708,720,728,732,740,744,750,762,764,782,788,798,804,810,812,818,828,834,840,842,848,854,858,860,872,882,884,888,894,900,902,914,918,924,932,942,950,960,968,974,980,984,992,998
251: 254,256,258,262,264,268,270,274,280,282,288,292,294,298,304,310,312,318,322,324,330,334,340,348,352,354,358,360,364,378,382,388,390,400,402,408,414,418,424,430,432,442,444,448,450,462,474,478,480,484,490,492,502,502,508,514,520,522,528,532,534,544,558,562,564,568,582,588,598,600,604,610,618,624,630,634,640,648,652,660,670,672,682,684,690,694,700,708,712,714,718,730,738,742,750,754,760,772,774,792,798,808,814,820,822,828,838,844,850,852,858,864,868,870,882,892,894,898,904,910,912,924,928,934,942,952,960,970,978,984,990,994
257: 260,262,264,268,270,274,276,280,286,288,294,298,300,304,310,316,318,324,328,330,336,340,346,354,358,360,364,366,370,384,388,394,396,406,408,414,420,424,430,436,438,448,450,454,456,468,480,484,486,490,496,498,508,514,514,520,526,528,534,538,540,550,564,568,570,574,588,594,604,606,610,616,624,630,636,640,646,654,658,666,676,678,688,690,696,700,706,714,718,720,724,736,744,748,756,760,766,778,780,798,804,814,820,826,828,834,844,850,856,858,864,870,874,876,888,898,900,904,910,916,918,930,934,940,948,958,966,976,984,990,996,1000
263: 266,268,270,274,276,280,282,286,292,294,300,304,306,310,316,322,324,330,334,336,342,346,352,360,364,366,370,372,376,390,394,400,402,412,414,420,426,430,436,442,444,454,456,460,462,474,486,490,492,496,502,504,514,520,526,526,532,534,540,544,546,556,570,574,576,580,594,600,610,612,616,622,630,636,642,646,652,660,664,672,682,684,694,696,702,706,712,720,724,726,730,742,750,754,762,766,772,784,786,804,810,820,826,832,834,840,850,856,862,864,870,876,880,882,894,904,906,910,916,922,924,936,940,946,954,964,972,982,990,996
269: 272,274,276,280,282,286,288,292,298,300,306,310,312,316,322,328,330,336,340,342,348,352,358,366,370,372,376,378,382,396,400,406,408,418,420,426,432,436,442,448,450,460,462,466,468,480,492,496,498,502,508,510,520,526,532,538,538,540,546,550,552,562,576,580,582,586,600,606,616,618,622,628,636,642,648,652,658,666,670,678,688,690,700,702,708,712,718,726,730,732,736,748,756,760,768,772,778,790,792,810,816,826,832,838,840,846,856,862,868,870,876,882,886,888,900,910,912,916,922,928,930,942,946,952,960,970,978,988,996
271: 274,276,278,282,284,288,290,294,300,302,308,312,314,318,324,330,332,338,342,344,350,354,360,368,372,374,378,380,384,398,402,408,410,420,422,428,434,438,444,450,452,462,464,468,470,482,494,498,500,504,510,512,522,528,534,540,542,542,548,552,554,564,578,582,584,588,602,608,618,620,624,630,638,644,650,654,660,668,672,680,690,692,702,704,710,714,720,728,732,734,738,750,758,762,770,774,780,792,794,812,818,828,834,840,842,848,858,864,870,872,878,884,888,890,902,912,914,918,924,930,932,944,948,954,962,972,980,990,998
277: 280,282,284,288,290,294,296,300,306,308,314,318,320,324,330,336,338,344,348,350,356,360,366,374,378,380,384,386,390,404,408,414,416,426,428,434,440,444,450,456,458,468,470,474,476,488,500,504,506,510,516,518,528,534,540,546,548,554,554,558,560,570,584,588,590,594,608,614,624,626,630,636,644,650,656,660,666,674,678,686,696,698,708,710,716,720,726,734,738,740,744,756,764,768,776,780,786,798,800,818,824,834,840,846,848,854,864,870,876,878,884,890,894,896,908,918,920,924,930,936,938,950,954,960,968,978,986,996
281: 284,286,288,292,294,298,300,304,310,312,318,322,324,328,334,340,342,348,352,354,360,364,370,378,382,384,388,390,394,408,412,418,420,430,432,438,444,448,454,460,462,472,474,478,480,492,504,508,510,514,520,522,532,538,544,550,552,558,562,562,564,574,588,592,594,598,612,618,628,630,634,640,648,654,660,664,670,678,682,690,700,702,712,714,720,724,730,738,742,744,748,760,768,772,780,784,790,802,804,822,828,838,844,850,852,858,868,874,880,882,888,894,898,900,912,922,924,928,934,940,942,954,958,964,972,982,990,1000
283: 286,288,290,294,296,300,302,306,312,314,320,324,326,330,336,342,344,350,354,356,362,366,372,380,384,386,390,392,396,410,414,420,422,432,434,440,446,450,456,462,464,474,476,480,482,494,506,510,512,516,522,524,534,540,546,552,554,560,564,566,566,576,590,594,596,600,614,620,630,632,636,642,650,656,662,666,672,680,684,692,702,704,714,716,722,726,732,740,744,746,750,762,770,774,782,786,792,804,806,824,830,840,846,852,854,860,870,876,882,884,890,896,900,902,914,924,926,930,936,942,944,956,960,966,974,984,992
293: 296,298,300,304,306,310,312,316,322,324,330,334,336,340,346,352,354,360,364,366,372,376,382,390,394,396,400,402,406,420,424,430,432,442,444,450,456,460,466,472,474,484,486,490,492,504,516,520,522,526,532,534,544,550,556,562,564,570,574,576,586,586,600,604,606,610,624,630,640,642,646,652,660,666,672,676,682,690,694,702,712,714,724,726,732,736,742,750,754,756,760,772,780,784,792,796,802,814,816,834,840,850,856,862,864,870,880,886,892,894,900,906,910,912,924,934,936,940,946,952,954,966,970,976,984,994
307: 310,312,314,318,320,324,326,330,336,338,344,348,350,354,360,366,368,374,378,380,386,390,396,404,408,410,414,416,420,434,438,444,446,456,458,464,470,474,480,486,488,498,500,504,506,518,530,534,536,540,546,548,558,564,570,576,578,584,588,590,600,614,614,618,620,624,638,644,654,656,660,666,674,680,686,690,696,704,708,716,726,728,738,740,746,750,756,764,768,770,774,786,794,798,806,810,816,828,830,848,854,864,870,876,878,884,894,900,906,908,914,920,924,926,938,948,950,954,960,966,968,980,984,990,998
311: 314,316,318,322,324,328,330,334,340,342,348,352,354,358,364,370,372,378,382,384,390,394,400,408,412,414,418,420,424,438,442,448,450,460,462,468,474,478,484,490,492,502,504,508,510,522,534,538,540,544,550,552,562,568,574,580,582,588,592,594,604,618,622,622,624,628,642,648,658,660,664,670,678,684,690,694,700,708,712,720,730,732,742,744,750,754,760,768,772,774,778,790,798,802,810,814,820,832,834,852,858,868,874,880,882,888,898,904,910,912,918,924,928,930,942,952,954,958,964,970,972,984,988,994
313: 316,318,320,324,326,330,332,336,342,344,350,354,356,360,366,372,374,380,384,386,392,396,402,410,414,416,420,422,426,440,444,450,452,462,464,470,476,480,486,492,494,504,506,510,512,524,536,540,542,546,552,554,564,570,576,582,584,590,594,596,606,620,624,626,626,630,644,650,660,662,666,672,680,686,692,696,702,710,714,722,732,734,744,746,752,756,762,770,774,776,780,792,800,804,812,816,822,834,836,854,860,870,876,882,884,890,900,906,912,914,920,926,930,932,944,954,956,960,966,972,974,986,990,996
317: 320,322,324,328,330,334,336,340,346,348,354,358,360,364,370,376,378,384,388,390,396,400,406,414,418,420,424,426,430,444,448,454,456,466,468,474,480,484,490,496,498,508,510,514,516,528,540,544,546,550,556,558,568,574,580,586,588,594,598,600,610,624,628,630,634,634,648,654,664,666,670,676,684,690,696,700,706,714,718,726,736,738,748,750,756,760,766,774,778,780,784,796,804,808,816,820,826,838,840,858,864,874,880,886,888,894,904,910,916,918,924,930,934,936,948,958,960,964,970,976,978,990,994,1000
331: 334,336,338,342,344,348,350,354,360,362,368,372,374,378,384,390,392,398,402,404,410,414,420,428,432,434,438,440,444,458,462,468,470,480,482,488,494,498,504,510,512,522,524,528,530,542,554,558,560,564,570,572,582,588,594,600,602,608,612,614,624,638,642,644,648,662,662,668,678,680,684,690,698,704,710,714,720,728,732,740,750,752,762,764,770,774,780,788,792,794,798,810,818,822,830,834,840,852,854,872,878,888,894,900,902,908,918,924,930,932,938,944,948,950,962,972,974,978,984,990,992
337: 340,342,344,348,350,354,356,360,366,368,374,378,380,384,390,396,398,404,408,410,416,420,426,434,438,440,444,446,450,464,468,474,476,486,488,494,500,504,510,516,518,528,530,534,536,548,560,564,566,570,576,578,588,594,600,606,608,614,618,620,630,644,648,650,654,668,674,674,684,686,690,696,704,710,716,720,726,734,738,746,756,758,768,770,776,780,786,794,798,800,804,816,824,828,836,840,846,858,860,878,884,894,900,906,908,914,924,930,936,938,944,950,954,956,968,978,980,984,990,996,998
347: 350,352,354,358,360,364,366,370,376,378,384,388,390,394,400,406,408,414,418,420,426,430,436,444,448,450,454,456,460,474,478,484,486,496,498,504,510,514,520,526,528,538,540,544,546,558,570,574,576,580,586,588,598,604,610,616,618,624,628,630,640,654,658,660,664,678,684,694,694,696,700,706,714,720,726,730,736,744,748,756,766,768,778,780,786,790,796,804,808,810,814,826,834,838,846,850,856,868,870,888,894,904,910,916,918,924,934,940,946,948,954,960,964,966,978,988,990,994,1000
349: 352,354,356,360,362,366,368,372,378,380,386,390,392,396,402,408,410,416,420,422,428,432,438,446,450,452,456,458,462,476,480,486,488,498,500,506,512,516,522,528,530,540,542,546,548,560,572,576,578,582,588,590,600,606,612,618,620,626,630,632,642,656,660,662,666,680,686,696,698,698,702,708,716,722,728,732,738,746,750,758,768,770,780,782,788,792,798,806,810,812,816,828,836,840,848,852,858,870,872,890,896,906,912,918,920,926,936,942,948,950,956,962,966,968,980,990,992,996
353: 356,358,360,364,366,370,372,376,382,384,390,394,396,400,406,412,414,420,424,426,432,436,442,450,454,456,460,462,466,480,484,490,492,502,504,510,516,520,526,532,534,544,546,550,552,564,576,580,582,586,592,594,604,610,616,622,624,630,634,636,646,660,664,666,670,684,690,700,702,706,706,712,720,726,732,736,742,750,754,762,772,774,784,786,792,796,802,810,814,816,820,832,840,844,852,856,862,874,876,894,900,910,916,922,924,930,940,946,952,954,960,966,970,972,984,994,996,1000
359: 362,364,366,370,372,376,378,382,388,390,396,400,402,406,412,418,420,426,430,432,438,442,448,456,460,462,466,468,472,486,490,496,498,508,510,516,522,526,532,538,540,550,552,556,558,570,582,586,588,592,598,600,610,616,622,628,630,636,640,642,652,666,670,672,676,690,696,706,708,712,718,718,726,732,738,742,748,756,760,768,778,780,790,792,798,802,808,816,820,822,826,838,846,850,858,862,868,880,882,900,906,916,922,928,930,936,946,952,958,960,966,972,976,978,990,1000
367: 370,372,374,378,380,384,386,390,396,398,404,408,410,414,420,426,428,434,438,440,446,450,456,464,468,470,474,476,480,494,498,504,506,516,518,524,530,534,540,546,548,558,560,564,566,578,590,594,596,600,606,608,618,624,630,636,638,644,648,650,660,674,678,680,684,698,704,714,716,720,726,734,734,740,746,750,756,764,768,776,786,788,798,800,806,810,816,824,828,830,834,846,854,858,866,870,876,888,890,908,914,924,930,936,938,944,954,960,966,968,974,980,984,986,998
373: 376,378,380,384,386,390,392,396,402,404,410,414,416,420,426,432,434,440,444,446,452,456,462,470,474,476,480,482,486,500,504,510,512,522,524,530,536,540,546,552,554,564,566,570,572,584,596,600,602,606,612,614,624,630,636,642,644,650,654,656,666,680,684,686,690,704,710,720,722,726,732,740,746,746,752,756,762,770,774,782,792,794,804,806,812,816,822,830,834,836,840,852,860,864,872,876,882,894,896,914,920,930,936,942,944,950,960,966,972,974,980,986,990,992
379: 382,384,386,390,392,396,398,402,408,410,416,420,422,426,432,438,440,446,450,452,458,462,468,476,480,482,486,488,492,506,510,516,518,528,530,536,542,546,552,558,560,570,572,576,578,590,602,606,608,612,618,620,630,636,642,648,650,656,660,662,672,686,690,692,696,710,716,726,728,732,738,746,752,758,758,762,768,776,780,788,798,800,810,812,818,822,828,836,840,842,846,858,866,870,878,882,888,900,902,920,926,936,942,948,950,956,966,972,978,980,986,992,996,998
383: 386,388,390,394,396,400,402,406,412,414,420,424,426,430,436,442,444,450,454,456,462,466,472,480,484,486,490,492,496,510,514,520,522,532,534,540,546,550,556,562,564,574,576,580,582,594,606,610,612,616,622,624,634,640,646,652,654,660,664,666,676,690,694,696,700,714,720,730,732,736,742,750,756,762,766,766,772,780,784,792,802,804,814,816,822,826,832,840,844,846,850,862,870,874,882,886,892,904,906,924,930,940,946,952,954,960,970,976,982,984,990,996,1000
389: 392,394,396,400,402,406,408,412,418,420,426,430,432,436,442,448,450,456,460,462,468,472,478,486,490,492,496,498,502,516,520,526,528,538,540,546,552,556,562,568,570,580,582,586,588,600,612,616,618,622,628,630,640,646,652,658,660,666,670,672,682,696,700,702,706,720,726,736,738,742,748,756,762,768,772,778,778,786,790,798,808,810,820,822,828,832,838,846,850,852,856,868,876,880,888,892,898,910,912,930,936,946,952,958,960,966,976,982,988,990,996
397: 400,402,404,408,410,414,416,420,426,428,434,438,440,444,450,456,458,464,468,470,476,480,486,494,498,500,504,506,510,524,528,534,536,546,548,554,560,564,570,576,578,588,590,594,596,608,620,624,626,630,636,638,648,654,660,666,668,674,678,680,690,704,708,710,714,728,734,744,746,750,756,764,770,776,780,786,794,794,798,806,816,818,828,830,836,840,846,854,858,860,864,876,884,888,896,900,906,918,920,938,944,954,960,966,968,974,984,990,996,998
401: 404,406,408,412,414,418,420,424,430,432,438,442,444,448,454,460,462,468,472,474,480,484,490,498,502,504,508,510,514,528,532,538,540,550,552,558,564,568,574,580,582,592,594,598,600,612,624,628,630,634,640,642,652,658,664,670,672,678,682,684,694,708,712,714,718,732,738,748,750,754,760,768,774,780,784,790,798,802,802,810,820,822,832,834,840,844,850,858,862,864,868,880,888,892,900,904,910,922,924,942,948,958,964,970,972,978,988,994,1000
409: 412,414,416,420,422,426,428,432,438,440,446,450,452,456,462,468,470,476,480,482,488,492,498,506,510,512,516,518,522,536,540,546,548,558,560,566,572,576,582,588,590,600,602,606,608,620,632,636,638,642,648,650,660,666,672,678,680,686,690,692,702,716,720,722,726,740,746,756,758,762,768,776,782,788,792,798,806,810,818,818,828,830,840,842,848,852,858,866,870,872,876,888,896,900,908,912,918,930,932,950,956,966,972,978,980,986,996
419: 422,424,426,430,432,436,438,442,448,450,456,460,462,466,472,478,480,486,490,492,498,502,508,516,520,522,526,528,532,546,550,556,558,568,570,576,582,586,592,598,600,610,612,616,618,630,642,646,648,652,658,660,670,676,682,688,690,696,700,702,712,726,730,732,736,750,756,766,768,772,778,786,792,798,802,808,816,820,828,838,838,840,850,852,858,862,868,876,880,882,886,898,906,910,918,922,928,940,942,960,966,976,982,988,990,996
421: 424,426,428,432,434,438,440,444,450,452,458,462,464,468,474,480,482,488,492,494,500,504,510,518,522,524,528,530,534,548,552,558,560,570,572,578,584,588,594,600,602,612,614,618,620,632,644,648,650,654,660,662,672,678,684,690,692,698,702,704,714,728,732,734,738,752,758,768,770,774,780,788,794,800,804,810,818,822,830,840,842,842,852,854,860,864,870,878,882,884,888,900,908,912,920,924,930,942,944,962,968,978,984,990,992,998
431: 434,436,438,442,444,448,450,454,460,462,468,472,474,478,484,490,492,498,502,504,510,514,520,528,532,534,538,540,544,558,562,568,570,580,582,588,594,598,604,610,612,622,624,628,630,642,654,658,660,664,670,672,682,688,694,700,702,708,712,714,724,738,742,744,748,762,768,778,780,784,790,798,804,810,814,820,828,832,840,850,852,862,862,864,870,874,880,888,892,894,898,910,918,922,930,934,940,952,954,972,978,988,994,1000
433: 436,438,440,444,446,450,452,456,462,464,470,474,476,480,486,492,494,500,504,506,512,516,522,530,534,536,540,542,546,560,564,570,572,582,584,590,596,600,606,612,614,624,626,630,632,644,656,660,662,666,672,674,684,690,696,702,704,710,714,716,726,740,744,746,750,764,770,780,782,786,792,800,806,812,816,822,830,834,842,852,854,864,866,866,872,876,882,890,894,896,900,912,920,924,932,936,942,954,956,974,980,990,996
439: 442,444,446,450,452,456,458,462,468,470,476,480,482,486,492,498,500,506,510,512,518,522,528,536,540,542,546,548,552,566,570,576,578,588,590,596,602,606,612,618,620,630,632,636,638,650,662,666,668,672,678,680,690,696,702,708,710,716,720,722,732,746,750,752,756,770,776,786,788,792,798,806,812,818,822,828,836,840,848,858,860,870,872,878,878,882,888,896,900,902,906,918,926,930,938,942,948,960,962,980,986,996
443: 446,448,450,454,456,460,462,466,472,474,480,484,486,490,496,502,504,510,514,516,522,526,532,540,544,546,550,552,556,570,574,580,582,592,594,600,606,610,616,622,624,634,636,640,642,654,666,670,672,676,682,684,694,700,706,712,714,720,724,726,736,750,754,756,760,774,780,790,792,796,802,810,816,822,826,832,840,844,852,862,864,874,876,882,886,886,892,900,904,906,910,922,930,934,942,946,952,964,966,984,990,1000
449: 452,454,456,460,462,466,468,472,478,480,486,490,492,496,502,508,510,516,520,522,528,532,538,546,550,552,556,558,562,576,580,586,588,598,600,606,612,616,622,628,630,640,642,646,648,660,672,676,678,682,688,690,700,706,712,718,720,726,730,732,742,756,760,762,766,780,786,796,798,802,808,816,822,828,832,838,846,850,858,868,870,880,882,888,892,898,898,906,910,912,916,928,936,940,948,952,958,970,972,990,996
457: 460,462,464,468,470,474,476,480,486,488,494,498,500,504,510,516,518,524,528,530,536,540,546,554,558,560,564,566,570,584,588,594,596,606,608,614,620,624,630,636,638,648,650,654,656,668,680,684,686,690,696,698,708,714,720,726,728,734,738,740,750,764,768,770,774,788,794,804,806,810,816,824,830,836,840,846,854,858,866,876,878,888,890,896,900,906,914,914,918,920,924,936,944,948,956,960,966,978,980,998
461: 464,466,468,472,474,478,480,484,490,492,498,502,504,508,514,520,522,528,532,534,540,544,550,558,562,564,568,570,574,588,592,598,600,610,612,618,624,628,634,640,642,652,654,658,660,672,684,688,690,694,700,702,712,718,724,730,732,738,742,744,754,768,772,774,778,792,798,808,810,814,820,828,834,840,844,850,858,862,870,880,882,892,894,900,904,910,918,922,922,924,928,940,948,952,960,964,970,982,984
463: 466,468,470,474,476,480,482,486,492,494,500,504,506,510,516,522,524,530,534,536,542,546,552,560,564,566,570,572,576,590,594,600,602,612,614,620,626,630,636,642,644,654,656,660,662,674,686,690,692,696,702,704,714,720,726,732,734,740,744,746,756,770,774,776,780,794,800,810,812,816,822,830,836,842,846,852,860,864,872,882,884,894,896,902,906,912,920,924,926,926,930,942,950,954,962,966,972,984,986
467: 470,472,474,478,480,484,486,490,496,498,504,508,510,514,520,526,528,534,538,540,546,550,556,564,568,570,574,576,580,594,598,604,606,616,618,624,630,634,640,646,648,658,660,664,666,678,690,694,696,700,706,708,718,724,730,736,738,744,748,750,760,774,778,780,784,798,804,814,816,820,826,834,840,846,850,856,864,868,876,886,888,898,900,906,910,916,924,928,930,934,934,946,954,958,966,970,976,988,990
479: 482,484,486,490,492,496,498,502,508,510,516,520,522,526,532,538,540,546,550,552,558,562,568,576,580,582,586,588,592,606,610,616,618,628,630,636,642,646,652,658,660,670,672,676,678,690,702,706,708,712,718,720,730,736,742,748,750,756,760,762,772,786,790,792,796,810,816,826,828,832,838,846,852,858,862,868,876,880,888,898,900,910,912,918,922,928,936,940,942,946,958,958,966,970,978,982,988,1000
487: 490,492,494,498,500,504,506,510,516,518,524,528,530,534,540,546,548,554,558,560,566,570,576,584,588,590,594,596,600,614,618,624,626,636,638,644,650,654,660,666,668,678,680,684,686,698,710,714,716,720,726,728,738,744,750,756,758,764,768,770,780,794,798,800,804,818,824,834,836,840,846,854,860,866,870,876,884,888,896,906,908,918,920,926,930,936,944,948,950,954,966,974,974,978,986,990,996
491: 494,496,498,502,504,508,510,514,520,522,528,532,534,538,544,550,552,558,562,564,570,574,580,588,592,594,598,600,604,618,622,628,630,640,642,648,654,658,664,670,672,682,684,688,690,702,714,718,720,724,730,732,742,748,754,760,762,768,772,774,784,798,802,804,808,822,828,838,840,844,850,858,864,870,874,880,888,892,900,910,912,922,924,930,934,940,948,952,954,958,970,978,982,982,990,994,1000
499: 502,504,506,510,512,516,518,522,528,530,536,540,542,546,552,558,560,566,570,572,578,582,588,596,600,602,606,608,612,626,630,636,638,648,650,656,662,666,672,678,680,690,692,696,698,710,722,726,728,732,738,740,750,756,762,768,770,776,780,782,792,806,810,812,816,830,836,846,848,852,858,866,872,878,882,888,896,900,908,918,920,930,932,938,942,948,956,960,962,966,978,986,990,998,998
503: 506,508,510,514,516,520,522,526,532,534,540,544,546,550,556,562,564,570,574,576,582,586,592,600,604,606,610,612,616,630,634,640,642,652,654,660,666,670,676,682,684,694,696,700,702,714,726,730,732,736,742,744,754,760,766,772,774,780,784,786,796,810,814,816,820,834,840,850,852,856,862,870,876,882,886,892,900,904,912,922,924,934,936,942,946,952,960,964,966,970,982,990,994
509: 512,514,516,520,522,526,528,532,538,540,546,550,552,556,562,568,570,576,580,582,588,592,598,606,610,612,616,618,622,636,640,646,648,658,660,666,672,676,682,688,690,700,702,706,708,720,732,736,738,742,748,750,760,766,772,778,780,786,790,792,802,816,820,822,826,840,846,856,858,862,868,876,882,888,892,898,906,910,918,928,930,940,942,948,952,958,966,970,972,976,988,996,1000
521: 524,526,528,532,534,538,540,544,550,552,558,562,564,568,574,580,582,588,592,594,600,604,610,618,622,624,628,630,634,648,652,658,660,670,672,678,684,688,694,700,702,712,714,718,720,732,744,748,750,754,760,762,772,778,784,790,792,798,802,804,814,828,832,834,838,852,858,868,870,874,880,888,894,900,904,910,918,922,930,940,942,952,954,960,964,970,978,982,984,988,1000
523: 526,528,530,534,536,540,542,546,552,554,560,564,566,570,576,582,584,590,594,596,602,606,612,620,624,626,630,632,636,650,654,660,662,672,674,680,686,690,696,702,704,714,716,720,722,734,746,750,752,756,762,764,774,780,786,792,794,800,804,806,816,830,834,836,840,854,860,870,872,876,882,890,896,902,906,912,920,924,932,942,944,954,956,962,966,972,980,984,986,990
541: 544,546,548,552,554,558,560,564,570,572,578,582,584,588,594,600,602,608,612,614,620,624,630,638,642,644,648,650,654,668,672,678,680,690,692,698,704,708,714,720,722,732,734,738,740,752,764,768,770,774,780,782,792,798,804,810,812,818,822,824,834,848,852,854,858,872,878,888,890,894,900,908,914,920,924,930,938,942,950,960,962,972,974,980,984,990,998
547: 550,552,554,558,560,564,566,570,576,578,584,588,590,594,600,606,608,614,618,620,626,630,636,644,648,650,654,656,660,674,678,684,686,696,698,704,710,714,720,726,728,738,740,744,746,758,770,774,776,780,786,788,798,804,810,816,818,824,828,830,840,854,858,860,864,878,884,894,896,900,906,914,920,926,930,936,944,948,956,966,968,978,980,986,990,996
557: 560,562,564,568,570,574,576,580,586,588,594,598,600,604,610,616,618,624,628,630,636,640,646,654,658,660,664,666,670,684,688,694,696,706,708,714,720,724,730,736,738,748,750,754,756,768,780,784,786,790,796,798,808,814,820,826,828,834,838,840,850,864,868,870,874,888,894,904,906,910,916,924,930,936,940,946,954,958,966,976,978,988,990,996,1000
563: 566,568,570,574,576,580,582,586,592,594,600,604,606,610,616,622,624,630,634,636,642,646,652,660,664,666,670,672,676,690,694,700,702,712,714,720,726,730,736,742,744,754,756,760,762,774,786,790,792,796,802,804,814,820,826,832,834,840,844,846,856,870,874,876,880,894,900,910,912,916,922,930,936,942,946,952,960,964,972,982,984,994,996
569: 572,574,576,580,582,586,588,592,598,600,606,610,612,616,622,628,630,636,640,642,648,652,658,666,670,672,676,678,682,696,700,706,708,718,720,726,732,736,742,748,750,760,762,766,768,780,792,796,798,802,808,810,820,826,832,838,840,846,850,852,862,876,880,882,886,900,906,916,918,922,928,936,942,948,952,958,966,970,978,988,990,1000
571: 574,576,578,582,584,588,590,594,600,602,608,612,614,618,624,630,632,638,642,644,650,654,660,668,672,674,678,680,684,698,702,708,710,720,722,728,734,738,744,750,752,762,764,768,770,782,794,798,800,804,810,812,822,828,834,840,842,848,852,854,864,878,882,884,888,902,908,918,920,924,930,938,944,950,954,960,968,972,980,990,992
577: 580,582,584,588,590,594,596,600,606,608,614,618,620,624,630,636,638,644,648,650,656,660,666,674,678,680,684,686,690,704,708,714,716,726,728,734,740,744,750,756,758,768,770,774,776,788,800,804,806,810,816,818,828,834,840,846,848,854,858,860,870,884,888,890,894,908,914,924,926,930,936,944,950,956,960,966,974,978,986,996,998
587: 590,592,594,598,600,604,606,610,616,618,624,628,630,634,640,646,648,654,658,660,666,670,676,684,688,690,694,696,700,714,718,724,726,736,738,744,750,754,760,766,768,778,780,784,786,798,810,814,816,820,826,828,838,844,850,856,858,864,868,870,880,894,898,900,904,918,924,934,936,940,946,954,960,966,970,976,984,988,996
593: 596,598,600,604,606,610,612,616,622,624,630,634,636,640,646,652,654,660,664,666,672,676,682,690,694,696,700,702,706,720,724,730,732,742,744,750,756,760,766,772,774,784,786,790,792,804,816,820,822,826,832,834,844,850,856,862,864,870,874,876,886,900,904,906,910,924,930,940,942,946,952,960,966,972,976,982,990,994
599: 602,604,606,610,612,616,618,622,628,630,636,640,642,646,652,658,660,666,670,672,678,682,688,696,700,702,706,708,712,726,730,736,738,748,750,756,762,766,772,778,780,790,792,796,798,810,822,826,828,832,838,840,850,856,862,868,870,876,880,882,892,906,910,912,916,930,936,946,948,952,958,966,972,978,982,988,996,1000
601: 604,606,608,612,614,618,620,624,630,632,638,642,644,648,654,660,662,668,672,674,680,684,690,698,702,704,708,710,714,728,732,738,740,750,752,758,764,768,774,780,782,792,794,798,800,812,824,828,830,834,840,842,852,858,864,870,872,878,882,884,894,908,912,914,918,932,938,948,950,954,960,968,974,980,984,990,998
607: 610,612,614,618,620,624,626,630,636,638,644,648,650,654,660,666,668,674,678,680,686,690,696,704,708,710,714,716,720,734,738,744,746,756,758,764,770,774,780,786,788,798,800,804,806,818,830,834,836,840,846,848,858,864,870,876,878,884,888,890,900,914,918,920,924,938,944,954,956,960,966,974,980,986,990,996
613: 616,618,620,624,626,630,632,636,642,644,650,654,656,660,666,672,674,680,684,686,692,696,702,710,714,716,720,722,726,740,744,750,752,762,764,770,776,780,786,792,794,804,806,810,812,824,836,840,842,846,852,854,864,870,876,882,884,890,894,896,906,920,924,926,930,944,950,960,962,966,972,980,986,992,996
617: 620,622,624,628,630,634,636,640,646,648,654,658,660,664,670,676,678,684,688,690,696,700,706,714,718,720,724,726,730,744,748,754,756,766,768,774,780,784,790,796,798,808,810,814,816,828,840,844,846,850,856,858,868,874,880,886,888,894,898,900,910,924,928,930,934,948,954,964,966,970,976,984,990,996,1000
619: 622,624,626,630,632,636,638,642,648,650,656,660,662,666,672,678,680,686,690,692,698,702,708,716,720,722,726,728,732,746,750,756,758,768,770,776,782,786,792,798,800,810,812,816,818,830,842,846,848,852,858,860,870,876,882,888,890,896,900,902,912,926,930,932,936,950,956,966,968,972,978,986,992,998
631: 634,636,638,642,644,648,650,654,660,662,668,672,674,678,684,690,692,698,702,704,710,714,720,728,732,734,738,740,744,758,762,768,770,780,782,788,794,798,804,810,812,822,824,828,830,842,854,858,860,864,870,872,882,888,894,900,902,908,912,914,924,938,942,944,948,962,968,978,980,984,990,998
641: 644,646,648,652,654,658,660,664,670,672,678,682,684,688,694,700,702,708,712,714,720,724,730,738,742,744,748,750,754,768,772,778,780,790,792,798,804,808,814,820,822,832,834,838,840,852,864,868,870,874,880,882,892,898,904,910,912,918,922,924,934,948,952,954,958,972,978,988,990,994,1000
643: 646,648,650,654,656,660,662,666,672,674,680,684,686,690,696,702,704,710,714,716,722,726,732,740,744,746,750,752,756,770,774,780,782,792,794,800,806,810,816,822,824,834,836,840,842,854,866,870,872,876,882,884,894,900,906,912,914,920,924,926,936,950,954,956,960,974,980,990,992,996
647: 650,652,654,658,660,664,666,670,676,678,684,688,690,694,700,706,708,714,718,720,726,730,736,744,748,750,754,756,760,774,778,784,786,796,798,804,810,814,820,826,828,838,840,844,846,858,870,874,876,880,886,888,898,904,910,916,918,924,928,930,940,954,958,960,964,978,984,994,996,1000
653: 656,658,660,664,666,670,672,676,682,684,690,694,696,700,706,712,714,720,724,726,732,736,742,750,754,756,760,762,766,780,784,790,792,802,804,810,816,820,826,832,834,844,846,850,852,864,876,880,882,886,892,894,904,910,916,922,924,930,934,936,946,960,964,966,970,984,990,1000
659: 662,664,666,670,672,676,678,682,688,690,696,700,702,706,712,718,720,726,730,732,738,742,748,756,760,762,766,768,772,786,790,796,798,808,810,816,822,826,832,838,840,850,852,856,858,870,882,886,888,892,898,900,910,916,922,928,930,936,940,942,952,966,970,972,976,990,996
661: 664,666,668,672,674,678,680,684,690,692,698,702,704,708,714,720,722,728,732,734,740,744,750,758,762,764,768,770,774,788,792,798,800,810,812,818,824,828,834,840,842,852,854,858,860,872,884,888,890,894,900,902,912,918,924,930,932,938,942,944,954,968,972,974,978,992,998
673: 676,678,680,684,686,690,692,696,702,704,710,714,716,720,726,732,734,740,744,746,752,756,762,770,774,776,780,782,786,800,804,810,812,822,824,830,836,840,846,852,854,864,866,870,872,884,896,900,902,906,912,914,924,930,936,942,944,950,954,956,966,980,984,986,990
677: 680,682,684,688,690,694,696,700,706,708,714,718,720,724,730,736,738,744,748,750,756,760,766,774,778,780,784,786,790,804,808,814,816,826,828,834,840,844,850,856,858,868,870,874,876,888,900,904,906,910,916,918,928,934,940,946,948,954,958,960,970,984,988,990,994
683: 686,688,690,694,696,700,702,706,712,714,720,724,726,730,736,742,744,750,754,756,762,766,772,780,784,786,790,792,796,810,814,820,822,832,834,840,846,850,856,862,864,874,876,880,882,894,906,910,912,916,922,924,934,940,946,952,954,960,964,966,976,990,994,996,1000
691: 694,696,698,702,704,708,710,714,720,722,728,732,734,738,744,750,752,758,762,764,770,774,780,788,792,794,798,800,804,818,822,828,830,840,842,848,854,858,864,870,872,882,884,888,890,902,914,918,920,924,930,932,942,948,954,960,962,968,972,974,984,998
701: 704,706,708,712,714,718,720,724,730,732,738,742,744,748,754,760,762,768,772,774,780,784,790,798,802,804,808,810,814,828,832,838,840,850,852,858,864,868,874,880,882,892,894,898,900,912,924,928,930,934,940,942,952,958,964,970,972,978,982,984,994
709: 712,714,716,720,722,726,728,732,738,740,746,750,752,756,762,768,770,776,780,782,788,792,798,806,810,812,816,818,822,836,840,846,848,858,860,866,872,876,882,888,890,900,902,906,908,920,932,936,938,942,948,950,960,966,972,978,980,986,990,992
719: 722,724,726,730,732,736,738,742,748,750,756,760,762,766,772,778,780,786,790,792,798,802,808,816,820,822,826,828,832,846,850,856,858,868,870,876,882,886,892,898,900,910,912,916,918,930,942,946,948,952,958,960,970,976,982,988,990,996,1000
727: 730,732,734,738,740,744,746,750,756,758,764,768,770,774,780,786,788,794,798,800,806,810,816,824,828,830,834,836,840,854,858,864,866,876,878,884,890,894,900,906,908,918,920,924,926,938,950,954,956,960,966,968,978,984,990,996,998
733: 736,738,740,744,746,750,752,756,762,764,770,774,776,780,786,792,794,800,804,806,812,816,822,830,834,836,840,842,846,860,864,870,872,882,884,890,896,900,906,912,914,924,926,930,932,944,956,960,962,966,972,974,984,990,996
739: 742,744,746,750,752,756,758,762,768,770,776,780,782,786,792,798,800,806,810,812,818,822,828,836,840,842,846,848,852,866,870,876,878,888,890,896,902,906,912,918,920,930,932,936,938,950,962,966,968,972,978,980,990,996
743: 746,748,750,754,756,760,762,766,772,774,780,784,786,790,796,802,804,810,814,816,822,826,832,840,844,846,850,852,856,870,874,880,882,892,894,900,906,910,916,922,924,934,936,940,942,954,966,970,972,976,982,984,994,1000
751: 754,756,758,762,764,768,770,774,780,782,788,792,794,798,804,810,812,818,822,824,830,834,840,848,852,854,858,860,864,878,882,888,890,900,902,908,914,918,924,930,932,942,944,948,950,962,974,978,980,984,990,992
757: 760,762,764,768,770,774,776,780,786,788,794,798,800,804,810,816,818,824,828,830,836,840,846,854,858,860,864,866,870,884,888,894,896,906,908,914,920,924,930,936,938,948,950,954,956,968,980,984,986,990,996,998
761: 764,766,768,772,774,778,780,784,790,792,798,802,804,808,814,820,822,828,832,834,840,844,850,858,862,864,868,870,874,888,892,898,900,910,912,918,924,928,934,940,942,952,954,958,960,972,984,988,990,994,1000
769: 772,774,776,780,782,786,788,792,798,800,806,810,812,816,822,828,830,836,840,842,848,852,858,866,870,872,876,878,882,896,900,906,908,918,920,926,932,936,942,948,950,960,962,966,968,980,992,996,998
773: 776,778,780,784,786,790,792,796,802,804,810,814,816,820,826,832,834,840,844,846,852,856,862,870,874,876,880,882,886,900,904,910,912,922,924,930,936,940,946,952,954,964,966,970,972,984,996,1000
787: 790,792,794,798,800,804,806,810,816,818,824,828,830,834,840,846,848,854,858,860,866,870,876,884,888,890,894,896,900,914,918,924,926,936,938,944,950,954,960,966,968,978,980,984,986,998
797: 800,802,804,808,810,814,816,820,826,828,834,838,840,844,850,856,858,864,868,870,876,880,886,894,898,900,904,906,910,924,928,934,936,946,948,954,960,964,970,976,978,988,990,994,996
809: 812,814,816,820,822,826,828,832,838,840,846,850,852,856,862,868,870,876,880,882,888,892,898,906,910,912,916,918,922,936,940,946,948,958,960,966,972,976,982,988,990,1000
811: 814,816,818,822,824,828,830,834,840,842,848,852,854,858,864,870,872,878,882,884,890,894,900,908,912,914,918,920,924,938,942,948,950,960,962,968,974,978,984,990,992
821: 824,826,828,832,834,838,840,844,850,852,858,862,864,868,874,880,882,888,892,894,900,904,910,918,922,924,928,930,934,948,952,958,960,970,972,978,984,988,994,1000
823: 826,828,830,834,836,840,842,846,852,854,860,864,866,870,876,882,884,890,894,896,902,906,912,920,924,926,930,932,936,950,954,960,962,972,974,980,986,990,996
827: 830,832,834,838,840,844,846,850,856,858,864,868,870,874,880,886,888,894,898,900,906,910,916,924,928,930,934,936,940,954,958,964,966,976,978,984,990,994,1000
829: 832,834,836,840,842,846,848,852,858,860,866,870,872,876,882,888,890,896,900,902,908,912,918,926,930,932,936,938,942,956,960,966,968,978,980,986,992,996
839: 842,844,846,850,852,856,858,862,868,870,876,880,882,886,892,898,900,906,910,912,918,922,928,936,940,942,946,948,952,966,970,976,978,988,990,996
853: 856,858,860,864,866,870,872,876,882,884,890,894,896,900,906,912,914,920,924,926,932,936,942,950,954,956,960,962,966,980,984,990,992
857: 860,862,864,868,870,874,876,880,886,888,894,898,900,904,910,916,918,924,928,930,936,940,946,954,958,960,964,966,970,984,988,994,996
859: 862,864,866,870,872,876,878,882,888,890,896,900,902,906,912,918,920,926,930,932,938,942,948,956,960,962,966,968,972,986,990,996,998
863: 866,868,870,874,876,880,882,886,892,894,900,904,906,910,916,922,924,930,934,936,942,946,952,960,964,966,970,972,976,990,994,1000
877: 880,882,884,888,890,894,896,900,906,908,914,918,920,924,930,936,938,944,948,950,956,960,966,974,978,980,984,986,990
881: 884,886,888,892,894,898,900,904,910,912,918,922,924,928,934,940,942,948,952,954,960,964,970,978,982,984,988,990,994
883: 886,888,890,894,896,900,902,906,912,914,920,924,926,930,936,942,944,950,954,956,962,966,972,980,984,986,990,992,996
887: 890,892,894,898,900,904,906,910,916,918,924,928,930,934,940,946,948,954,958,960,966,970,976,984,988,990,994,996,1000
907: 910,912,914,918,920,924,926,930,936,938,944,948,950,954,960,966,968,974,978,980,986,990,996
911: 914,916,918,922,924,928,930,934,940,942,948,952,954,958,964,970,972,978,982,984,990,994,1000
919: 922,924,926,930,932,936,938,942,948,950,956,960,962,966,972,978,980,986,990,992,998
929: 932,934,936,940,942,946,948,952,958,960,966,970,972,976,982,988,990,996,1000
937: 940,942,944,948,950,954,956,960,966,968,974,978,980,984,990,996,998
941: 944,946,948,952,954,958,960,964,970,972,978,982,984,988,994,1000
947: 950,952,954,958,960,964,966,970,976,978,984,988,990,994,1000
953: 956,958,960,964,966,970,972,976,982,984,990,994,996,1000
967: 970,972,974,978,980,984,986,990,996,998
971: 974,976,978,982,984,988,990,994,1000
977: 980,982,984,988,990,994,996,1000
983: 986,988,990,994,996,1000
991: 994,996,998
997: 1000

Above each line left to ':' is prime list.
Right to ':' is this prime show up in even list.
Above list has one point worth your attention.
Each primeA add three is first even primeA meet.

<a name="docA016">
Online some site discuss "Goldbach conjecture"
even = primeC - primeD  But tute0067.htm discuss
even = primeA + primeB Under this condition
prime 983 cannot meet even 982,980 etc.
prime 983 first meet even 983+3=986 ,
prime 983 second meet even 983+5=988 etc.

if even = primeC - primeD each even has infinite
many combination. 20=23-3, 20=3433-3413 ...
if even = primeA + primeB each even has finite
many combination. 20=17+3, 20=13+7
2016-07-18-17-07 here

<a name="docA017">
2016-07-18-18-01 start
Above is prime : even integer list
Below is primeA: primeA incremental 0,1,2 list

Above and below are same information.
Above prime3 meet even list
3: 6,8,10,14,16,20,22,26,...
expand to all even list
3: 6,8,10,12,14,16,18,20,22,24,26,...
Because 6=3+3 prime3 show up twice, change to
3: 2,
Next 8=3+5, prime3 show up once, add 1 become
3: 2,1,
Next 10=3+7, prime3 show up once, add 1 become
3: 2,1,1,
Next 12=7+5, prime3 NOT show up, add 0 become
3: 2,1,1,0,
Similar process extend to even=1000,
All even Goldbach decomposition meet 3, mark 1.
All even Goldbach decomposition pass 3, mark 0.
This process produce first line
3: 211011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011000010000001011010000001011010000000001010001000010001010010010000001010010010001001
Following prime 5,7,11,13,17 etc. follow same
procedure. Two points keep in mind.
<a name="docA019">
1. Each prime, for example 19 start from 1.
This 1 is 19+3=22, even number 22 meet 19
then record 1.
2. Re-write even=primeA+primeB as
primeA = even - primeB
for one horizontal data, primeA is constant.
for example primeA=19. Even start from 22=19+3
Even increase two each time. "primeB" increase
two at same time. 19=22-3, 19=24-5, 19=26-7, no
problem, "primeB" 3,5,7 are primes. 19 earn '1'
gevn5000.jpg curve (broken line) slope=1/1.
But 19=28-9, "primeB"=9, 9 is NOT prime. This
case prime 19 "012 string" mark a '0'
gevn5000.jpg curve (broken line) slope=0/1.
<a name="docA020">
One primeA is one curve in gevn5000.jpg
"primeB" go over 3,5,7,9,11,13,15,17,19,21 ....
all odd numbers. All primeA experience same
"primeB" path. All curve in gevn5000.jpg cross
same path 3,5,7,9,11,13,15,17,19,21 ....
All curve (all primeA) get same 1/1, same 0/1.
gevn5000.jpg horizontal stripe explained.
2016-07-18-18-41

<a name="docA021">
To produce Prime 012 list, goto
http://freeman2.com/prime_e1.htm
In Box41 fill in even 6 to 1000
check Output 1,2,3,4? 3  then click
output to Box44 the following.

2016-07-18-01-37 run
http://freeman2.com/prime_e1.htm

function intPrimSumeet(QGboxd41.value)
input 1000 points get
intPrimSumeet] Begin=2016-07-18-01-37-50.849,
End  =2016-07-18-01-37-55.446:
4.597 sec
Next 012 string is gevn5000.jpg , gint2000.jpg
curve's TEXT version. jpg file horizontal stripe
is TEXT version's vertical column all 0 or all 1.
(treat '2' as '1') 2016-07-18-18-44
output summet[3].length=168
Next is odd prime incremental record, 0 or 1 or 2
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5: 121011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011000010000001011010000001011010000000001010001000010001010010010000001010010010001
7: 112011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011000010000001011010000001011010000000001010001000010001010010010000001010010010001
11: 11102101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001000000101101000000101101000000000101000100001000101001001000000101001001
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31: 111011011010012001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011000010000001011010000001011010000000001010001000010001010010010000001
37: 11101101101001100201101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001000000101101000000101101000000000101000100001000101001001
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67: 11101101101001100101101001001100201100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001000000101101000000101101000000000101000100001
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79: 111011011010011001011010010011001011002010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011000010000001011010000001011010000000001010001
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103: 11101101101001100101101001001100101100101001000101201101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001000000101101000000101101
107: 11101101101001100101101001001100101100101001000101102101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001000000101101000000101101
109: 11101101101001100101101001001100101100101001000101101201000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001000000101101000000101101
113: 11101101101001100101101001001100101100101001000101101102000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001000000101101000000101101
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131: 11101101101001100101101001001100101100101001000101101101000000102001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001000000101101
137: 11101101101001100101101001001100101100101001000101101101000000101002100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001000000101101
139: 111011011010011001011010010011001011001010010001011011010000001010012000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011000010000001011
149: 11101101101001100101101001001100101100101001000101101101000000101001100002100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001
151: 11101101101001100101101001001100101100101001000101101101000000101001100001200100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001
157: 11101101101001100101101001001100101100101001000101101101000000101001100001100200101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101100001
163: 111011011010011001011010010011001011001010010001011011010000001010011000011001002010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011
167: 111011011010011001011010010011001011001010010001011011010000001010011000011001001020010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011
173: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101002001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001101
179: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001002100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001100001
181: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010012000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011
191: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100002101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001000001
193: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001201100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001
197: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001102100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001
199: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101200000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101000000100001
211: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000002000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001
223: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000201101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101
227: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000102101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101000101
229: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001012010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001
233: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101102001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101
239: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101002100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101000100101
241: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010012000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001
251: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100002001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101
257: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001002001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001000101000101001000001100000000100100001001001100100001001001100100101100000100001101001001100000101001000100001000100001000100100101
263: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010020011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001
269: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010021001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001
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521: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101001000101101000001
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557: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101001000101000100001100001100101
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577: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011
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613: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101
617: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001000100100101
619: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001
631: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001
641: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101001
643: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101
647: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001101
653: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101000000100100001
659: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001
661: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001
673: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101
677: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101
683: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001000000101101
691: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001
701: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101100001
709: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011
719: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001001100101
727: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011
733: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001001
739: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001
743: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001100001001
751: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011
757: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011
761: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101101001
769: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011
773: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001101100000100000101
787: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001
797: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011
809: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001100001
811: 111011011010011001011010010011001011001010010001011011010000001010011000011001001010010011
821: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001001
823: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001
827: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101001
829: 11101101101001100101101001001100101100101001000101101101000000101001100001100100101
839: 111011011010011001011010010011001011001010010001011011010000001010011000011001
853: 111011011010011001011010010011001011001010010001011011010000001010011
857: 111011011010011001011010010011001011001010010001011011010000001010011
859: 111011011010011001011010010011001011001010010001011011010000001010011
863: 11101101101001100101101001001100101100101001000101101101000000101001
877: 11101101101001100101101001001100101100101001000101101101
881: 11101101101001100101101001001100101100101001000101101101
883: 11101101101001100101101001001100101100101001000101101101
887: 11101101101001100101101001001100101100101001000101101101
907: 11101101101001100101101001001100101100101001
911: 11101101101001100101101001001100101100101001
919: 111011011010011001011010010011001011001
929: 11101101101001100101101001001100101
937: 111011011010011001011010010011
941: 11101101101001100101101001001
947: 11101101101001100101101001
953: 11101101101001100101101
967: 111011011010011
971: 11101101101001
977: 11101101101
983: 11101101
991: 111
997: 1

<a name=primedrawImageList>
primcnt1.png, gevn5000.jpg, gint2000.jpg, gev10000.jpg,
gevmpri0.jpg, gevmpri1.jpg,

<a name="docA023"><a name=primcnt1>ImageList
http://freeman2.com/primcnt1.png
Prime counting function increase faster, black curve.
Square counting function increase slower, red curve.
See http://freeman2.com/tute0058.htm#docA405
and http://freeman2.com/tute0058.htm#primeCountDraw
click example [A1] get above curve. 2014-12-29-17-39

<a name="docA024"><a name=gevn5000>ImageList
http://freeman2.com/gevn5000.jpg

<a name="docA025">

Goldbach conjecture
Every even integer ( ≥ 6 ) is the sum of two odd primes.
Every odd integer ( ≥ 9 ) is the sum of three odd primes.
This graph freeman2.com/gevn5000.jpg is
Goldbach decomposition even integer 2 till 5000
to two prime sum. Those prime show up in
decomposition process are counted. Each curve
is one prime. This graph show
1. all prime show up probability are the same
2. obstacles occurred, all prime keep in pace
graph created on 2016-07-08-23-25
utility http://freeman2.com/prime_e1.htm
file    http://freeman2.com/gevn5000.jpg
gevn5000.jpg mean Goldbach EVeN 5000
Liu,Hsinhan　  劉鑫漢   2016-07-09-05-12

x axis: integers or primes sum up to this point
y axis: prime count. Example 14=11+3 and 14=7+7
upto 14 prime 3, prime 11 increase one each.
prime 7 increase two. Each curve is one prime's
increase record.

<a name="docA026"><a name=gint2000>ImageList
http://freeman2.com/gint2000.jpg

<a name=a507281056>
2016-07-28-10-56 gint2000.jpg graph prime=3 curve rapid
increase at left end, then keep pace as majority curves.
that is because user assigned odd - prime29 get even.
Before 29+6=35, all odd from 3 to 33 contribute many
prime 3 to counting. Start from 35, all odd integers
contribute many prime 29 to counting. prime 3 curve

Goldbach conjecture
Every even integer ( ≥ 6 ) is the sum of two odd primes.
Every odd integer ( ≥ 9 ) is the sum of three odd primes.
This graph freeman2.com/gint2000.jpg is Goldbach decomposition odd
and even integer 2 till 2000 to two prime sum. Those prime show up
in decomposition process are counted. Each curve is one prime.
This graph show two unique prime curves.
1. prime=3 curve, parallel to majority, but above them.
2. prime=29 curve, shoot to sky immediately. This high count curve
is man-made. Odd integer is sum of three primes. User assign 29
to odd-29=even This act let 29 show up in odd greater equal 29+6
gint2000.jpg has one conclusion, Goldbach decomposition odd integer
involve man-made factor. Even only http://freeman2.com/gevn5000.jpg
graph gint2000.jpg created on 2016-07-08-22-32
utility freeman2.com/prime_e1.htm ; graph freeman2.com/gint2000.jpg
gint2000.jpg = Goldbach INTeger 2000 ; Liu,Hsinhan　2016-07-09-10-34

x axis: integers or primes sum up to this point
y axis: prime count. Example 14=11+3 and 14=7+7
upto 14 prime 3, prime 11 increase one each.
prime 7 increase two. Each curve is one prime's
increase record.

<a name="docA028"><a name=gev10000>ImageList
http://freeman2.com/gev10000.jpg

x axis: integers or primes sum up to this point
y axis: prime count. Example 14=11+3 and 14=7+7
upto 14 prime 3, prime 11 increase one each.
prime 7 increase two. Each curve is one
prime's increase record.

<a name="docA029">
[Draw yellow box] start: 2016-07-15-14-21-13.077
sum/multiply calculation 2016-07-15-14-21-59.664
Prime decomposition draw 2016-07-15-14-23-04.846
In prime_e1.htm build prime upto 10000, it is OK
to draw Goldbach decomposition even below 10000
This graph show primes highly regular behavior.
This graph http://freeman2.com/gev10000.jpg
even 5000  http://freeman2.com/gevn5000.jpg
integer 2k http://freeman2.com/gint2000.jpg
utility    http://freeman2.com/prime_e1.htm
Liu,Hsinhan　  劉鑫漢   2016-07-15-14-56

<a name="docA030">
105,07,15,15,03

「白線」處都是略大

9551,9587之間。
105,07,15,15,30

<a name=a507220450>
[[
Goldbach conjecture Every even integer ( ≥ 6 ) is the sum of two
odd primes. even = primeA+primeB , that is primeA = even -primeB
Each curve is a prime counting function curve. On x axis, each
prime is one primeA and emit one curve, with primeA be constant
on that curve. Each curve has variable primeB move on curve and
take odd values. If odd value is a prime, curve local slope = 1
]]

2016-07-18-20-28 start
in
http://freeman2.com/prime_e1.htm
Box09  ;  ;
<a name="docA032">
Fill "6,1001" to blue box, click
output to Box09
[[
maxDif=20; maxID=154; Max gap occur at prime=887,907
Exam prime start from 6 to 1003. See blue box above.
4,2,4,2,4,6,2,6,4,2,4,6,6,2,6,4,2,6,4,6,
8,4,2,4,2,4,14,4,6,2,10,2,6,6,4,6,6,2,10,
2,4,2,12,12,4,2,4,6,2,10,6,6,6,2,6,4,2,
10,14,4,2,4,14,6,10,2,4,6,8,6,6,4,6,8,4,
8,10,2,10,2,6,4,6,8,4,2,4,12,8,4,8,4,6,
12,2,18,6,10,6,6,2,6,10,6,6,2,6,6,4,2,12,
10,2,4,6,6,2,12,4,6,8,10,8,10,8,6,6,4,8,
6,4,8,4,14,10,12,2,10,2,4,2,10,14,4,2,4,
14,4,2,4,20,4,8,10,8,4,6,6,14,4,6,6,8,6,
12,
]]
<a name="docA033">
4,2,4,2,4,6,2,... is prime gap
Start from 6,
1st prime is  7, 2nd prime is 11,  7 to 11 gap 4
2nd prime is 11, 3rd prime is 13, 11 to 13 gap 2
3rd prime is 13, 4th prime is 17, 13 to 17 gap 4
4th prime is 17, 5th prime is 19, 17 to 19 gap 2
5th prime is 19, 6th prime is 23, 19 to 23 gap 4
6th prime is 23, 7th prime is 29, 23 to 29 gap 6
...
Box09 output 4,2,4,2,4,6,2,6,4,2,4,6,6,2,6,4,...
is easy to understand.

<a name="docA034">
Fill even 6 to 1000 to Box41, click
output to Box44 primeA: primeA incremental 0,1,2 list
Next is odd prime incremental record, 0 or 1 or 2
3: 211011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011000010000001011010000001011010000000001010001000010001010010010000001010010010001001
5: 121011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011000010000001011010000001011010000000001010001000010001010010010000001010010010001
.....
also say prime gap.
How to match Box09 prime gap 4,2,4,2,4,6,2,.....
with Box44 prime gap ?
3: 211011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011000010000001011010000001011010000000001010001000010001010010010000001010010010001001
? '2' in " 3: 21101101..." say 6=3+3 has two
prime 3.

<a name="docA035">
See next graph, read column and write in row
[[
42 42 4 6 2 6  42 4 6  6 2 6  42 6  4 6   8  42 42 42  14   4
p4pp4pp4p6 pp6 p4pp4p6 p6 pp6 p4pp6 p4p6 p 8 p4pp4pp4p  14  p4p
111112222233333444445555566666777778888899999aaaaabbbbbcccccd
35791357913579135791357913579135791357913579135791357913579135791
3: 211011011010011001011010010011001011001010010001011011010000001010011000011001001010010011000011011000001000001011010011000010010010011001011000010000001011010000001001000011010010001001001010010001010001000011000011001010010001011010000010001010001010010000011000000001001000010010011001000010010011001001011000001000011010010011000001010010001000010001000010001001001010001001010001010000001000010000011000011011000010000001011010000001011010000000001010001000010001010010010000001010010010001001
.....
2016-07-18-08-02 start, 2016-07-18-08-29 OK
]]

Consider even = primeA + primeB
re-write primeA = even - primeB
'3' in " 3: 211011011010011001" is primeA. In
" 3: 211011011010011001", primeA=3 be constant.

'2' in " 3: 211011011010011001" is primeA=3 count
twice, because 6=3+3.

<a name="docA037">
Left most '1' in " 3: 211011011010011001" is
primeA=3 count once, because next even 8=3+5.

Fill "6,1001" to blue box, start from 6, first
prime is 7=primeB, on the other hand primeA=3
even = 3+7=10 Column "p 7 1" is this even=10
column "p 7 1" say prime 7 let 3 gain '1'

Above is even=10 column. Next is even=12 column.
column "4 4 9 0" say fake-prime 9 let 3 gain '0'
Both 4 say prime gap=4, earlier 10-3=7 is prime.
Next 14-3=11 is prime. 7 and 11 gap 4.

<a name="docA038">
Above is even=12 column. Next is even=14 column.
column "2 p 11 1" say primeB=11 let 3 gain '1'
because even 14=3+11. //primeA_3+primeB_11
'2' say prime gap=2, from 11 to next 13,
'p' say '11' is prime.

Above is even=14 column. Next is even=16 column.
column "p 13 1" say primeB=13 let 3 gain '1'
because even 16=3+13. //primeA_3+primeB_13
'p' say '13' is prime.

<a name="docA039">
Above is even=16 column. Next is even=18 column.
column "4 4 15 0" say fake-primeB=15, 3 gain '0'
because even 18=3+15. 15 is not a prime.
'4' say earlier '13' and next '17' gap=4.

Continue this analysis process. Table top
42 42 4 6 2 6  42 4 6  6 2 6  42 6  4 6   8  42 42 42  14   4
and Box09 output
4,2,4,2,4,6,2,6,4,2,4,6,6,2,6,4,2,6,4,6,...
are same list.
2016-07-18-21-36

<a name="docA040">
2016-07-19-08-06
One more time, re-write even=primeA+primeB
as primeA = even - primeB color match next

11111222223333344444555...
357913579135791357913579135
3: 211011011010011001011010010011...
680246802468024680246802468...
1111122222333334444455555

Color right end column "55085" read as
Even number 58 (not 85) equal 3 plus 55
Because fake primeB 55 is not a prime,
primeA 3 counting line get a 0.
Similarly
Color right side column "53165" read as
Even number 56 (not 65) equal 3 plus 53
Because primeB 53 is a prime,
primeA 3 counting line get a 1.

<a name="docA042">
2016-07-19-08-43
Another point worth remind
when primeA=3, first even 6=3+3
3: 211011011010011001011010010011...
680246802468024680246802468...
1111122222333334444455555
when primeA=5 first even 8=5+3
5: 121011011010011001011010010011...
80246802468024680246802468...
1111122222333334444455555
when primeA=7 first even 10=7+3
7: 112011011010011001011010010011...
0246802468024680246802468...
1111122222333334444455555
2016-07-19-08-50 stop

<a name="docA043">
2016-07-19-10-00
on 2016-07-08-22-32 created gint2000.jpg
on 2016-07-08-23-25 created gevn5000.jpg
Both graph show Goldbach decomposition even
integer to two prime sum have horizontal
stripes. It is a mystery. Liu,Hsinhan build
http://freeman2.com/prime_e1.htm#bx41
Box41 to Box48 section main goal is creating
Prime 012 list
2016-07-19-10-10 cannon shock
<a name="docA044">
From Prime 012 list, it is easy to explain
why Goldbach decomposition prime counting graph
■■　gint2000.jpg horizontal stripe explained
The reason is simple, all curves go one path.
<a name="docA045">
Prime number randomness old puzzle still exist.
That is how to determine next prime gap from
given (earlier) prime list?
Liu,Hsinhan will think, reader have utility
http://freeman2.com/prime_e1.htm in hand
and have Goldbach conjecture data 6 to 1000
http://freeman2.com/tute0067.htm in hand
More people think prime problem, there is
greater chance to solve prime puzzle.
Liu,Hsinhan　劉鑫漢 2016-07-19-10-23

2016-07-19-10-26
utility program
http://freeman2.com/prime_e1.htm#docA083
has warning
Goldbach conjecture data 6 to 1000 web page
http://freeman2.com/tute0067.htm
When run utility program
http://freeman2.com/prime_e1.htm#docA083
Box41 input even 6 to 1000

<a name="docA047">
To produce Prime 012 list, goto utility program
http://freeman2.com/prime_e1.htm#bx41
In Box41 fill in even 6 to 1000
check Output 1,2,3,4? 3  then click
output to Box44 Prime 012 list.

07/18/2016  01:57 AM  335,758 prime_summet[3]1000.txt
07/17/2016  08:49 PM    2,793 prime_summet[3]_200.txt
07/17/2016  09:25 PM   70,900 prime_summet[3]_500.txt

<a name="docA048">
2016-07-17-20-49 done  even 6 to  200
2016-07-17-21-25 done  even 6 to  500
2016-07-17-21-30 start even 6 to 1000
Liu,Hsinhan's goal is 1000.
MSIE freeze, LiuHH goto sleep, wake up at
2016-07-18-01-32 MSIE still freeze
2016-07-18-01-35 close MSIE.
2016-07-18-01-37 re-try run prime_e1.htm
In Box41 input 1000 points Click
get
intPrimSumeet] Begin=2016-07-18-01-37-50.849,
End  =2016-07-18-01-37-55.446:
4.597 sec
<a name="docA049">
utility program
http://freeman2.com/prime_e1.htm is unstable.
LiuHH will debug, correct low efficiency code
to higher efficiency. Before correction, if
reader get MSIE freeze, close MSIE after one
minute idle and retry. Sorry for inconvenience.
2016-07-19-10-50 stop

<a name="docA050">ImageList
http://freeman2.com/gevmpri0.jpg
2016-07-27-21-13
Goldbach conjecture: Every even integer (≥6) is the sum of two odd primes.
Example 20=17+3 and 20=13+7. Even 20 meet prime3,7,13,17; 20 not meet 5,11
Graph x axis is even from 6 to 200 save to inArr[nID], nID=0 inArr[0]=6,
nID=1 inArr[1]=8 ... nID=97 inArr[97]=200. x-axis reading is nID for even.
Graph y axis is prime from 3 to 197 to primeArr[pID], pID=0 primeArr[0]=2,
prime 2 never enter Goldbach calculation. pID=1 primeArr[1]=prime 3,
pID=2 primeArr[2]=prime 5, pID=3 primeArr[3]=prime 7, pID=4 primeArr[4]=11
pID=5 primeArr[5]=13, pID=6 primeArr[6]=17 etc. y-axis reading is pID for
prime. pID allow compact recording, pID=23,24 is compact than prime 89,97
Red bar blue bar are both primes. Red is 6*n+1 prime, blue is 6*n-1 prime.
Thin blue line identify that even meet ALL 6*n-1 prime. Thin red is for
that even meet ALL 6*n+1 prime. Dot red is all red except top one blue.
http://freeman2.com/prime_e1.htm drawing board seven generate this graph.
http://freeman2.com/tute0067.htm Goldbach conjecture data 6 to 1000
http://freeman2.com/gevmpri0.jpg this graph, even meet prime 6*n-1, 6*n+1
File name gevmpri0.jpg mean Goldbach EVen Meet PRIme version 0.jpg
gevmpri0.jpg is created on 2016-07-27-19-28 Liu,Hsinhan a507272148　劉鑫漢
2016-07-27-21-48

<a name="docA051">ImageList
http://freeman2.com/gevmpri1.jpg
2016-07-28-09-25
Goldbach conjecture: Every even integer (≥6) is the sum of two odd primes.
Example 20=17+3 and 20=13+7. Even 20 meet prime3,7,13,17; 20 not meet 5,11
gevmpri0.jpg has more doc. gevmpri1.jpg show x,y axis meet (100,80)

http://freeman2.com/prime_e1.htm drawing board seven generate this graph.
http://freeman2.com/tute0067.htm Goldbach conjecture data 6 to 1000
http://freeman2.com/gevmpri0.jpg even meet prime even from 6 to 200
http://freeman2.com/gevmpri1.jpg even meet prime even from 200 to 400
File name gevmpri1.jpg mean Goldbach EVen Meet PRIme version 1.jpg
gevmpri1.jpg is created on 2016-07-28-08-16 Liu,Hsinhan a507280831

2016-07-28-09-27

2016-07-28-11-18 start
update 2016-07-28 include document for gevmpri0.jpg
and gevmpri1.jpg . Pair Prime number drawing board
http://freeman2.com/prime_e1.htm#primdraw03
added drawing board seven draw Goldbach decomposition
even integer (≥6) to sum of two odd primes.
Graph x axis is even numbers. y axis is prime ID.
For a given even number all prime show up in Goldbach
decomposition process will mark a short bar in that
prime row. gevmpri0.jpg and gevmpri1.jpg distinguish
prime from one another. Those prime satisfy 6*n+1
will mark red horizontal bar. Those prime satisfy
6*n-1 will mark blue vertical bar. Then gevmpri?.jpg
graph.

<a name="docA053">
To draw gevmpri0.jpg goto freeman2.com/prime_e1.htm
Box41. Input even integers to Box41. Prefer start
from 6,8,10 ... to 200 or to 400. Easier work is
click  program fill data to
Box41. Next click  let program
define summet array. To see the structure of summet
goto prime_e1.htm Box48, click
After click  define summet, next click
, wait for 10 seconds to 40 seconds to get
graph. You can adjust drawing board size modify
"big drawing board. x_y" You can adjust line width
color, solidot. 1st line width=2, 2nd line width=2
keep width=2 as is, if you change to width=3, program
cannot find "width=2" string, then not change from
width=2 to width=1. Output heavy lines.

<a name="docA054">
You can change freeman2.com/prime_e1.htm#primdraw03
from ```
x min: , x max: ; y min: , y max:
Axes cross at x= , y= , Use x,y axis
`to // gevmpri0.jpg use above, gevmpri1.jpg use below `
x min: , x max: ; y min: , y max:
Axes cross at x= , y= , Use x,y axis

<a name=a603241230> How to draw gevmpri1.jpg ?
To draw http://freeman2.com/gevmpri1.jpg
goto http://freeman2.com/prime_e1.htm#primdraw03
Use next data
x min: , x max: ; y min: , y max: ; %D
Axes cross at x= , y= , Use x,y axis
In prime_e1.htm above Box42 fill [6,401] , click [BuildData to Box41] as next line show
Gbounds ,
To build graph data summet[], in prime_e1.htm above Box41 click [intPrimSumeet] as next
Output 1,2,3,4? 1 2 3 ; all GB41
Next click [drawSummet]
GRUN1☞ debug ?
LiuHH's Acer Aspire 5750Z-4830 computer wait 35 seconds see next line
[drawSummet] Begin=2017-03-25-12-15-37.614, End=2017-03-25-12-16-12.113: 34.499 sec
At this point http://freeman2.com/prime_e1.htm#a507300935 drawing board seven
should show graph like http://freeman2.com/gevmpri1.jpg

```2016-07-28-12-08 here
To build gevmpri1.jpg Liu,Hsinhan tried input even
200 to 400 to Box41. But fail.
To build gevmpri1.jpg input even 6 to 400 to Box41.
Success.

<a name="docA055">
Above prime_e1.htm Box02, Box06 find a button
Below prime_e1.htm Box09 find a button
These button read program internal primeArr[] list
and build primeA6n[] list primeA6n[] determine red
bar or blue bar in gevmpri0.jpg and gevmpri1.jpg
red bar is 6*n+1 type prime.
blue bar is 6*n-1 type prime.
button  build primeA6n[] no output.
button  build primeA6n[] output to Box09.
Above prime_e1.htm Box42 there is one  too.
Below prime_e1.htm Box47 there is one  too.
2016-07-28-12-26 stop

<a name="docA056"> update 2017-03-26
Liu,Hsinhan stopped prime number work about six month.
2017-03-24-11-?? revisit Goldbach EVen Meet PRIme 1
http://freeman2.com/gevmpri1.jpg
LiuHH spend half hour find out how to draw gevmpri1.jpg
Record key steps to tute0067.htm#a603241230 and add
same notes to http://freeman2.com/gevmpri1.jpg

The reason suddenly revisit gevmpri1.jpg is that
LiuHH pop up a strange thought, whether gevmpri1.jpg
contain information allow find future prime without
do integer's prime factorization. 2200=2^3*5^2*11^1
2017-03-25-11-22

<a name=dateRecord>
http://freeman2.com/prime_e1.htm
2016-07-18-02-10 Goldbach conjecture data start
2016-07-18-02-13 create tute0067.htm
2016-07-18-03-00 done include data 6 to 1000
2016-07-18-10-30 start document
2016-07-19-10-50 done document

x0+i*y0 x0+∆x

<a name="docA999">

<a name="NumberSetsChar">
ℂ　Complex numbers ; 複數
ℍ　Hello ;
ℕ　Natural numbers ; 自然數（正整數及零）
ℙ　Prime numbers ; 素數
ℚ　Quotient, Rational numbers ; 有理數
ℝ　Real numbers ; 實數
ℤ　Zahl, Integers ; (from Zahl, German for integer) ;
ℤ　整數（正整數及零及負整數）
2015-03-13-18-52
```

Javascript index
http://freeman2.com/jsindex2.htm   local
Save graph code to same folder as htm files.
http://freeman2.com/jsgraph2.js   local

Goldbach conjecture data 6 to 1000
file name tute0067.htm mean
TUTor, English, 67 th .htm
Chinese version is tutc0067.htm

2016-07-18-02-13 save as tute0067.htm

The address of this file is
http://freeman2.com/tute0067.htm