谁能用电脑程序或其他方式帮我找这种数？

马勒隔壁恴 · 发表于 2012-9-24 00:51

范例：22至少±9，和差都是素数，（9的平方）＞（22*2）
与最短对称素数的差值大于本身的2倍的算术平方根的自然数。
目前我找到的有以下这些，不知道有没有最大的：
22±9 28±9 32±9 38±9 46±15 49±12 55±12 58±15 68±15 74±15 82±15 87±14 94±15 112±15 116±15 121±18 128±21 130±21 136±27 146±33 155±18 184±27 200±27 203±24 206±27 217±24 221±30 224±27 238±39 244±33 247±24 253±24 265±42 268±39 284±27 286±45 301±30 304±27 306±25 308±39 316±33 318±35 323±30 326±33 341±48 344±75 346±33 362±69 398±45 413±30 428±39 454±33 466±33 484±63 490±33 496±75 502±39 508±69 518±39 526±87 529±42 537±34 538±39 551±42 553±54 561±38 565±42 568±45 576±55 583±36 611±42 649±42 664±45 670±39 688±45 695±48 699±40 704±57 707±54 716±57 725±48 728±45 732±41 734±75 749±48 755±54 764±45 766±57 788±69 802±51 814±45 862±75 864±43 866±45 874±45 876±53 878±51 890±51 904±93 916±93 921±62 931±78 934±57 940±57 946±63 961±78 970±51 976±57 985±48 1028±75 1088±75 1112±51 1114±117 1115±66 1118±69 1154±63 1156±93 1160±57 1164±67 1174±57 1180±51 1189±60 1198±81 1214±63

马勒隔壁恴 · 发表于 2012-9-24 05:13

漏了一个：1043±60

hmz2012 · 发表于 2012-9-26 22:18

其实你的22±9 28±9 32±9 38±9 就是相隔9*2=18的两个素数，用数海聚珠网【程序体验】中的21号程序,只要输入等差级数30n+a与 30n+b中的a与b，就能得到（最大8位数）所有适合条件的数
例：a=22-9=13，b=22+9=31
在26号程序中输入：E1=13，E2=31，h=0，L=111（L是30n+a中n的最大值）
输出：
13,31
43,61
163,181
193,211
223,241
313,331
523,541
613,631
643,661
673,691
733,751
1033,1051
1153,1171
1213,1231
1303,1321
1453,1471
1723,1741
1783,1801
1933,1951
1993,2011
2113,2131
2143,2161
2203,2221
2293,2311
2503,2521
2713,2731
2833,2851
2953,2971
3163,3181
3253,3271
3313,3331
3343,3361
共有32对
同理：1214-63=1151=30*38+11， 1214+63=1277=30*38+137
1214±63是两个相隔63*2=126的素数
用26号程序输入：E1=11，E2=137，h=0，L=111
输出：
11,137
41,167
71,197
101,227
131,257
191,317
251,377
281,407
311,437
401,527
431,557
461,587
491,617
521,647
641,767
701,827
761,887
821,947
881,1007
911,1037
941,1067
971,1097
1031,1157
1061,1187
1091,1217
1151,1277
1181,1307
1301,1427
1361,1487
1451,1577
1481,1607
1511,1637
1571,1697
1601,1727
1721,1847
1811,1937
1871,1997
1901,2027
1931,2057
2081,2207
2111,2237
2141,2267
2351,2477
2381,2507
2411,2537
2441,2567
2531,2657
2591,2717
2621,2747
2711,2837
2741,2867
2801,2927
2861,2987
3011,3137
3041,3167
3191,3317
3221,3347
3251,3377
共有58对
1214-63=1151和1214+63=1277在其中
相差126的素数还有30n+13与 30n+139等
输入：E1=13，E2=139，h=0，L=111
输出：
13,139
43,169
73,199
103,229
163,289
193,319
223,349
283,409
313,439
373,499
433,559
463,589
523,649
613,739
643,769
673,799
733,859
823,949
853,979
883,1009
1033,1159
1063,1189
1093,1219
1123,1249
1153,1279
1213,1339
1303,1429
1423,1549
1453,1579
1483,1609
1543,1669
1663,1789
1693,1819
1723,1849
1753,1879
1783,1909
1873,1999
1933,2059
1993,2119
2053,2179
2083,2209
2113,2239
2143,2269
2203,2329
2293,2419
2383,2509
2473,2599
2503,2629
2593,2719
2683,2809
2713,2839
2803,2929
2833,2959
2953,3079
3163,3289
3253,3379
3313,3439
3343,3469
共有58对

hmz2012 · 发表于 2012-9-28 14:58

不知楼主要的是什么数，符合条件的最小数一定不是，但符合条件的最大数也不像，例：
63^2=1*(1151+1277)+1541=1214*2+1541即：符合63^2>1214*2但下面还有多个大于1214的数也符合这样的条件，不知为什么只给出了1214±63
例：在3楼的第二组数据1151，1277（即：1214±63）的下面还有：
63^2=1*(1181+1307)+1481=1244*2+1481（63^2>1244*2）即：1244±63
63^2=1*(1301+1427)+1241=1364*2+ 1241（63^2>1364*2）即：1364±63
63^2=1*(1361+1487)+1481=1424*2+1121（63^2>1424*2）即：1424±63
63^2=1*(1451+1577)+941=1514*2+941（63^2>1514*2）即：1514±63
63^2=1*(1481+1607)+881=1544*2+881（63^2>1544*2）即：1544±63
63^2=1*(1511+1637)+821=1574*2+821（63^2>1574*2）即：1574±63
63^2=1*(1571+1697)+701=1634*2+701（63^2>1634*2）即：1634±63
63^2=1*(1601+1727)+641=1664*2+641（63^2>1664*2）即：1664±63
……
63^2=1*(1901+2027)+ 41=1964*2+41（63^2>1964*2）即：1964±63

马勒隔壁恴 · 发表于 2012-9-30 20:06

算术平方根内没有哥德巴赫配对素数的最大偶数是63274，
与最短对称素数的差值大于本身的2倍的算术平方根的自然数，最大的是多少？

hmz2012 · 发表于 2012-10-6 21:45

不知你要的是什么数
若是需要哥德巴赫猜想数，可用数海聚珠网【程序体验】的20号程序。
下面是使用20号程序得到的两组关于偶数63274的哥猜数对，（1）取E1=11，E2=23，h=2108，L=2109，（2）取E1=17，E2=17，h=2108，L=2109
（1）组输入：
E1=11，E2=23，h=2108，L=2109
输出：
63274有299对
(401,62873)
(521,62753)
(641,62633)
(971,62303)
(1061,62213)
(1571,61703)
(1601,61673)
(1721,61553)
(1811,61463)
(1871,61403)
(1931,61343)
(2351,60923)
(2861,60413)
(3191,60083)
(3581,59693)
(3761,59513)
(3821,59453)
(3881,59393)
(4001,59273)
(4091,59183)
(4211,59063)
(4871,58403)
(5081,58193)
(5231,58043)
(5261,58013)
(5351,57923)
(5471,57803)
(5501,57773)
(5861,57413)
(6101,57173)
(6131,57143)
(6311,56963)
(6491,56783)
(7151,56123)
(7451,55823)
(7481,55793)
(7541,55733)
(7901,55373)
(8111,55163)
(8171,55103)
(8291,54983)
(8501,54773)
(8831,54443)
(8861,54413)
(8951,54323)
(9281,53993)
(9461,53813)
(9491,53783)
(10181,53093)
(10271,53003)
(10301,52973)
(10391,52883)
(10601,52673)
(10691,52583)
(11171,52103)
(11471,51803)
(11681,51593)
(11801,51473)
(12011,51263)
(12071,51203)
(12281,50993)
(12401,50873)
(12911,50363)
(12941,50333)
(13001,50273)
(13121,50153)
(13151,50123)
(13241,50033)
(13331,49943)
(13421,49853)
(13451,49823)
(13751,49523)
(13841,49433)
(14051,49223)
(14081,49193)
(14321,48953)
(14741,48533)
(14891,48383)
(15731,47543)
(15761,47513)
(15971,47303)
(16421,46853)
(16631,46643)
(17321,45953)
(17981,45293)
(18041,45233)
(18191,45083)
(18311,44963)
(18521,44753)
(18731,44543)
(19001,44273)
(19301,43973)
(19421,43853)
(19661,43613)
(19961,43313)
(19991,43283)
(20051,43223)
(20261,43013)
(20411,42863)
(20981,42293)
(21191,42083)
(21821,41453)
(22031,41243)
(22091,41183)
(22391,40883)
(22511,40763)
(22691,40583)
(23021,40253)
(23081,40193)
(23291,39983)
(23321,39953)
(23831,39443)
(23981,39293)
(24251,39023)
(24281,38993)
(24371,38903)
(24551,38723)
(24671,38603)
(24821,38453)
(24971,38303)
(25121,38153)
(26021,37253)
(26261,37013)
(26561,36713)
(26591,36683)
(26711,36563)
(26801,36473)
(26891,36383)
(26921,36353)
(26981,36293)
(27011,36263)
(27191,36083)
(27281,35993)
(27701,35573)
(27851,35423)
(28571,34703)
(28661,34613)
(28871,34403)
(28961,34313)
(29021,34253)
(29411,33863)
(29501,33773)
(29741,33533)
(29921,33353)
(30071,33203)
(30161,33113)
(30341,32933)
(30431,32843)
(30491,32783)
(30671,32603)
(30851,32423)
(30911,32363)
(30971,32303)
(31091,32183)
(31271,32003)
(31391,31883)
(31481,31793)
(32051,31223)
(32261,31013)
(32381,30893)
(32561,30713)
(33071,30203)
(33161,30113)
(33521,29753)
(33641,29633)
(33791,29483)
(33851,29423)
(33911,29363)
(33941,29333)
(34031,29243)
(34211,29063)
(34631,28643)
(34781,28493)
(34841,28433)
(34871,28403)
(35111,28163)
(35291,27983)
(35381,27893)
(35531,27743)
(36131,27143)
(36551,26723)
(36761,26513)
(37361,25913)
(37511,25763)
(37571,25703)
(37691,25583)
(37811,25463)
(38201,25073)
(38261,25013)
(38321,24953)
(38351,24923)
(38651,24623)
(38861,24413)
(39161,24113)
(39191,24083)
(39251,24023)
(39461,23813)
(39521,23753)
(39671,23603)
(40841,22433)
(41081,22193)
(41141,22133)
(41201,22073)
(41381,21893)
(41411,21863)
(41771,21503)
(42131,21143)
(42611,20663)
(43151,20123)
(43481,19793)
(43691,19583)
(43721,19553)
(44111,19163)
(44201,19073)
(44501,18773)
(44531,18743)
(44771,18503)
(45131,18143)
(45491,17783)
(46091,17183)
(46181,17093)
(46451,16823)
(46511,16763)
(46601,16673)
(47051,16223)
(47351,15923)
(47501,15773)
(47591,15683)
(48221,15053)
(48491,14783)
(48731,14543)
(49031,14243)
(49121,14153)
(49391,13883)
(49811,13463)
(50111,13163)
(50231,13043)
(50291,12983)
(50321,12953)
(50951,12323)
(51071,12203)
(51131,12143)
(51341,11933)
(51461,11813)
(52181,11093)
(52301,10973)
(52391,10883)
(52541,10733)
(53051,10223)
(53171,10103)
(53441,9833)
(53861,9413)
(53951,9323)
(54101,9173)
(54311,8963)
(54521,8753)
(54581,8693)
(54851,8423)
(55001,8273)
(55631,7643)
(55691,7583)
(56081,7193)
(56171,7103)
(56711,6563)
(56921,6353)
(56951,6323)
(57131,6143)
(57221,6053)
(57791,5483)
(57881,5393)
(58271,5003)
(58481,4793)
(58601,4673)
(58631,4643)
(58901,4373)
(58991,4283)
(59021,4253)
(59141,4133)
(59351,3923)
(59441,3833)
(59471,3803)
(59651,3623)
(59951,3323)
(60251,3023)
(60521,2753)
(60611,2663)
(61001,2273)
(61031,2243)
(61121,2153)
(61211,2063)
(61751,1523)
(61781,1493)
(61991,1283)
(62081,1193)
(62171,1103)
(62501,773)
(62591,683)
(62921,353)
(62981,293)
（2）组输入：
E1=17，E2=17，h=2108，L=2109
输出：
63274有284对
(347,62927)
(587,62687)
(647,62627)
(677,62597)
(797,62477)
(857,62417)
(947,62327)
(977,62297)
(1217,62057)
(1307,61967)
(1607,61667)
(1637,61637)
(1787,61487)
(2267,61007)
(2357,60917)
(2657,60617)
(2777,60497)
(2957,60317)
(3167,60107)
(3257,60017)
(3527,59747)
(3917,59357)
(4337,58937)
(4517,58757)
(4547,58727)
(4937,58337)
(5297,57977)
(5717,57557)
(5807,57467)
(5927,57347)
(5987,57287)
(6197,57077)
(6317,56957)
(6857,56417)
(7187,56087)
(7307,55967)
(7457,55817)
(7487,55787)
(7577,55697)
(7607,55667)
(7727,55547)
(7817,55457)
(7937,55337)
(8147,55127)
(8627,54647)
(8837,54437)
(9377,53897)
(9497,53777)
(9677,53597)
(9767,53507)
(10007,53267)
(10337,52937)
(10457,52817)
(10607,52667)
(11447,51827)
(11867,51407)
(11927,51347)
(11987,51287)
(12227,51047)
(12497,50777)
(12647,50627)
(13127,50147)
(13187,50087)
(13337,49937)
(13397,49877)
(13487,49787)
(13577,49697)
(13907,49367)
(13967,49307)
(13997,49277)
(14327,48947)
(14627,48647)
(14747,48527)
(14867,48407)
(15077,48197)
(15467,47807)
(15497,47777)
(15767,47507)
(15887,47387)
(16067,47207)
(16127,47147)
(16187,47087)
(16217,47057)
(16547,46727)
(16937,46337)
(17387,45887)
(17597,45677)
(17957,45317)
(18077,45197)
(18287,44987)
(18587,44687)
(18617,44657)
(18917,44357)
(19697,43577)
(20477,42797)
(20507,42767)
(20717,42557)
(20807,42467)
(21017,42257)
(21317,41957)
(21347,41927)
(21377,41897)
(21587,41687)
(21647,41627)
(21767,41507)
(22157,41117)
(22637,40637)
(22697,40577)
(22787,40487)
(23417,39857)
(23447,39827)
(23957,39317)
(24407,38867)
(24527,38747)
(25037,38237)
(25097,38177)
(25307,37967)
(25367,37907)
(25667,37607)
(25997,37277)
(26177,37097)
(26387,36887)
(26417,36857)
(26597,36677)
(26687,36587)
(26777,36497)
(27437,35837)
(27527,35747)
(27737,35537)
(27767,35507)
(27827,35447)
(27947,35327)
(28517,34757)
(28607,34667)
(28817,34457)
(29147,34127)
(29927,33347)
(30557,32717)
(30977,32297)
(31247,32027)
(31547,31727)
(31607,31667)
(31667,31607)
(31727,31547)
(32027,31247)
(32297,30977)
(32717,30557)
(33347,29927)
(34127,29147)
(34457,28817)
(34667,28607)
(34757,28517)
(35327,27947)
(35447,27827)
(35507,27767)
(35537,27737)
(35747,27527)
(35837,27437)
(36497,26777)
(36587,26687)
(36677,26597)
(36857,26417)
(36887,26387)
(37097,26177)
(37277,25997)
(37607,25667)
(37907,25367)
(37967,25307)
(38177,25097)
(38237,25037)
(38747,24527)
(38867,24407)
(39317,23957)
(39827,23447)
(39857,23417)
(40487,22787)
(40577,22697)
(40637,22637)
(41117,22157)
(41507,21767)
(41627,21647)
(41687,21587)
(41897,21377)
(41927,21347)
(41957,21317)
(42257,21017)
(42467,20807)
(42557,20717)
(42767,20507)
(42797,20477)
(43577,19697)
(44357,18917)
(44657,18617)
(44687,18587)
(44987,18287)
(45197,18077)
(45317,17957)
(45677,17597)
(45887,17387)
(46337,16937)
(46727,16547)
(47057,16217)
(47087,16187)
(47147,16127)
(47207,16067)
(47387,15887)
(47507,15767)
(47777,15497)
(47807,15467)
(48197,15077)
(48407,14867)
(48527,14747)
(48647,14627)
(48947,14327)
(49277,13997)
(49307,13967)
(49367,13907)
(49697,13577)
(49787,13487)
(49877,13397)
(49937,13337)
(50087,13187)
(50147,13127)
(50627,12647)
(50777,12497)
(51047,12227)
(51287,11987)
(51347,11927)
(51407,11867)
(51827,11447)
(52667,10607)
(52817,10457)
(52937,10337)
(53267,10007)
(53507,9767)
(53597,9677)
(53777,9497)
(53897,9377)
(54437,8837)
(54647,8627)
(55127,8147)
(55337,7937)
(55457,7817)
(55547,7727)
(55667,7607)
(55697,7577)
(55787,7487)
(55817,7457)
(55967,7307)
(56087,7187)
(56417,6857)
(56957,6317)
(57077,6197)
(57287,5987)
(57347,5927)
(57467,5807)
(57557,5717)
(57977,5297)
(58337,4937)
(58727,4547)
(58757,4517)
(58937,4337)
(59357,3917)
(59747,3527)
(60017,3257)
(60107,3167)
(60317,2957)
(60497,2777)
(60617,2657)
(60917,2357)
(61007,2267)
(61487,1787)
(61637,1637)
(61667,1607)
(61967,1307)
(62057,1217)
(62297,977)
(62327,947)
(62417,857)
(62477,797)
(62597,677)
(62627,647)
(62687,587)
(62927,347)
根据你的需要可自己选取上面中你需要的数据。
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