最为接近的两素数，所在范围

Treenewbee · 发表于 2024-5-5 09:49

数据格式：{gap,2n,a,p1,p2}
2n<=2000，p1<a-4或者p2>a+4:

{{20,234,15,107,127},{22,444,21,211,233},{26,228,15,101,127},{28,174,13,73,101},{32,414,20,191,223},{34,432,20,199,233},{36,242,15,103,139},{38,516,22,239,277},{40,582,24,271,311},{42,256,16,107,149},{44,1182,34,569,613},{46,672,25,313,359},{48,406,20,179,227},{50,612,24,281,331},{52,846,29,397,449},{54,272,16,109,163},{56,1038,32,491,547},{58,984,31,463,521},{60,442,21,191,251},{62,1776,42,857,919},{64,1902,43,919,983},{66,292,17,113,179},{68,1074,32,503,571},{70,636,25,283,353},{72,1054,32,491,563},{76,1122,33,523,599},{78,476,21,199,277},{80,1398,37,659,739},{82,1464,38,691,773},{84,530,23,223,307},{86,1728,41,821,907},{90,572,23,241,331},{96,682,26,293,389},{102,1604,40,751,853},{106,1752,41,823,929},{108,1106,33,499,607},{110,1152,33,521,631},{114,1408,37,647,761},{120,1846,42,863,983},{124,1842,42,859,983},{126,968,31,421,547},{138,724,26,293,431},{150,688,26,269,419},{156,1862,43,853,1009},{174,1052,32,439,613},{186,1808,42,811,997}}

Treenewbee · 发表于 2024-5-5 09:51

数据格式：{gap,2n,a,p1,p2}
2n<=2000，p1<a-10或者p2>a+10:

{{44,1182,34,569,613},{62,1776,42,857,919},{64,1902,43,919,983},{76,1122,33,523,599},{80,1398,37,659,739},{82,1464,38,691,773},{86,1728,41,821,907},{102,1604,40,751,853},{106,1752,41,823,929},{108,1106,33,499,607},{110,1152,33,521,631},{114,1408,37,647,761},{120,1846,42,863,983},{124,1842,42,859,983},{126,968,31,421,547},{156,1862,43,853,1009},{174,1052,32,439,613},{186,1808,42,811,997}}

Treenewbee · 发表于 2024-5-5 09:53

数据格式：{gap,2n,a,p1,p2}
2n<=5000，p1<a-20或者p2>a+20:

{{104,4902,70,2399,2503},{112,5154,71,2521,2633},{128,4974,70,2423,2551},{130,5244,72,2557,2687},{136,5802,76,2833,2969},{142,5076,71,2467,2609},{146,5040,70,2447,2593},{164,5838,76,2837,3001},{216,4498,67,2141,2357},{222,4964,70,2371,2593},{228,5146,71,2459,2687},{258,5036,70,2389,2647},{294,5612,74,2659,2953},{312,5726,75,2707,3019},{318,5780,76,2731,3049},{342,5696,75,2677,3019},{366,4952,70,2293,2659}}

Treenewbee · 发表于 2024-5-5 10:05

数据格式：{gap,2n,a,p1,p2}
gap<=500，p1<a-100或者p2>a+100:

{{364,143322,378,71479,71843},{376,181398,425,90511,90887},{394,150312,387,74959,75353},{422,176424,420,88001,88423},{424,193362,439,96469,96893},{440,139794,373,69677,70117},{442,124164,352,61861,62303},{446,193152,439,96353,96799},{448,136566,369,68059,68507},{452,144906,380,72227,72679},{454,144792,380,72169,72623},{460,132798,364,66169,66629},{470,120804,347,60167,60637},{476,128658,358,64091,64567},{482,173364,416,86441,86923},{484,129138,359,64327,64811},{500,139578,373,69539,70039}}

yangchuanju · 发表于 2024-5-5 14:05

本帖最后由 yangchuanju 于 2024-5-5 17:58 编辑

yangchuanju 发表于 2024-5-5 08:56
A065978-64 A066286-61
最大素数对间距记录最大素数对间距记录
序偶数序间距最大素数对及间距

17楼已经给出OEIS网站提供的最大素数对的间距记录数据，其中记录偶数64个，记录间距62个；
但63、64号偶数没有给出对应的间距数值；
经笔者计算得出它们的最大素数对的两素数间距分别为
63  15515536856 16698
64  32698538462 16740

紧紧跟随的较大素数对是
63  15515536856
间距小素大素
16698 7757760079 7757776777
17790 7757759533 7757777323
18522 7757759167 7757777689
19038 7757758909 7757777947
19470 7757758693 7757778163
20610 7757758123 7757778733
21318 7757757769 7757779087
21978 7757757439 7757779417

64  32698538462
间距小素大素
16740 16349260861 16349277601
16800 16349260831 16349277631
17160 16349260651 16349277811
18456 16349260003 16349278459
20436 16349259013 16349279449
20580 16349258941 16349279521
21756 16349258353 16349280109
23160 16349257651 16349280811
24384 16349257039 16349281423
24780 16349256841 16349281621
25740 16349256361 16349282101
26160 16349256151 16349282311
26256 16349256103 16349282359
26916 16349255773 16349282689
27576 16349255443 16349283019
28584 16349254939 16349283523
28836 16349254813 16349283649
29796 16349254333 16349284129
32064 16349253199 16349285263
33300 16349252581 16349285881

lusishun · 发表于 2024-5-5 18:04

我的思路可能浪费了大家很多时间与精力，抱歉，鞠躬感谢

yangchuanju · 发表于 2024-5-6 08:19

lusishun 发表于 2024-5-5 18:04
我的思路可能浪费了大家很多时间与精力，抱歉，鞠躬感谢

何必灰心丧气，您的最大素数对两素数间距猜想很好呀！只需稍微修改一下条件就行了！
偶数最大哥德巴赫猜想素数对两素数间距猜想——
令a等于半偶数的平方根，则最大哥德巴赫猜想素数对的两素数都分布在(a±2.5)^2之间！

yangchuanju · 发表于 2024-5-6 08:23

序偶数间距小素大素半偶方根减2.5平方加2.5平方
1 4 0 2 2 1.414213562 1.178932188 15.32106781
2 8 2 3 5 2 0.25 20.25
3 16 6 5 11 2.828427125 0.107864376 28.39213562
4 44 18 13 31 4.69041576 4.797921201 51.7020788
5 92 30 31 61 6.782329983 18.33835008 86.16164992
6 242 36 103 139 11 72.25 182.25
7 256 42 107 149 11.3137085 77.68145751 190.8185425
8 272 54 109 163 11.66190379 83.94048105 200.5595189
9 292 66 113 179 12.08304597 91.83477013 212.6652299
10 476 78 199 277 15.42724862 167.1137569 321.3862431
11 530 84 223 307 16.2788206 189.855897 352.644103
12 572 90 241 331 16.91153453 207.6923274 376.8076726
13 682 96 293 389 18.46618531 254.9190734 439.5809266
14 688 150 269 419 18.54723699 257.513815 442.986185
15 1052 174 439 613 22.93468988 417.5765506 646.9234494
16 1808 186 811 997 30.06659276 759.9170362 1060.582964
17 2228 234 997 1231 33.37663854 953.3668073 1287.133193
18 3382 240 1571 1811 41.12177039 1491.641148 1902.858852
19 3472 270 1601 1871 41.66533331 1533.923333 1950.576667
20 3502 276 1613 1889 41.84495191 1548.02524 1966.47476
21 3562 336 1613 1949 42.20189569 1576.240522 1998.259478
22 4952 366 2293 2659 49.75942122 2233.452894 2731.047106
23 6194 420 2887 3307 55.65069631 2824.996518 3381.503482
24 7102 456 3323 3779 59.59026766 3259.298662 3855.201338
25 10262 600 4831 5431 71.63099888 4779.095006 5495.404994
26 17008 666 8171 8837 92.21713507 8049.164325 8971.335675
27 20684 738 9973 10711 101.6956243 9839.771879 10856.72812
28 37052 786 18133 18919 136.1102494 17851.69875 19212.80125
29 45128 906 22111 23017 150.2131818 21819.18409 23321.31591
30 49552 1050 24251 25301 157.403939 23995.23031 25569.26969
31 80144 1242 39451 40693 200.1799191 39077.3504 41079.1496
32 137414 1440 67987 69427 262.1202014 67402.64899 70023.85101
33 251806 1620 125093 126713 354.8281274 124135.1094 127683.3906
34 349826 1692 174067 175759 418.2260155 172828.1199 177010.3801
35 362534 2172 180181 182353 425.7546242 179144.4769 183402.0231
36 742856 2562 370147 372709 609.4489314 368387.0053 374481.4947
37 1655152 2610 826271 828881 909.7120424 823033.6898 832130.8102
38 1872236 3030 934603 937633 967.5319116 931286.5904 940961.9096
39 2108282 3180 1052551 1055731 1026.713689 1049013.682 1059280.818
40 2319728 3234 1158247 1161481 1076.969823 1154485.401 1165255.099
41 2707118 3444 1351837 1355281 1163.425546 1347748.122 1359382.378
42 5182214 3588 2589313 2592901 1609.691585 2583064.792 2599161.708
43 7518328 3666 3757331 3760997 1938.856364 3749475.968 3768864.532
44 10908124 3702 5452211 5455913 2335.393329 5442391.283 5465745.217
45 11939162 4020 5967571 5971591 2443.2726 5957370.887 5981803.613
46 12727966 4128 6361919 6366047 2522.6936 6351375.782 6376602.718
47 13279472 4170 6637651 6641821 2576.768519 6626858.407 6652626.093
48 13583338 4224 6789557 6793781 2606.083076 6778644.835 6804705.665
49 14366372 4434 7180969 7185403 2680.146638 7169791.517 7196592.983
50 18245438 4704 9120367 9125071 3020.383916 9107623.33 9137827.17
51 21572990 5508 10783741 10789249 3284.279982 10770079.85 10802922.65
52 47697614 5568 23846023 23851591 4883.524035 23824395.63 23873230.87
53 54144704 6678 27069013 27075691 5203.109839 27046342.7 27098373.8
54 92661736 6858 46327439 46334297 6806.678191 46296840.86 46364907.64
55 115978712 8790 57984961 57993751 7615.074261 57951286.88 58027437.62
56 366468878 8976 183229951 183238927 13536.4116 183166763.2 183302127.3
57 594912044 10782 297450631 297461413 17246.91341 297369793.7 297542262.8
58 2021052578 10860 1010520859 1010531719 31788.77615 1010367351 1010685239
59 2171098052 11754 1085543149 1085554903 32947.67103 1085384294 1085713771
60 2774100788 12390 1387044199 1387056589 37243.12546 1386864185 1387236616
61 4234797188 14214 2117391487 2117405701 46015.1996 2117168524 2117628676
62 8155347878 14424 4077666727 4077681151 63856.66715 4077354662 4077993229
63 15515536856 16698 7757760079 7757776777 88078.19496 7757328043 7758208825
64 32698538462 16740 16349260861 16349277601 127864.261 16348629916 16349908559

wangyangke · 发表于 2025-2-9 19:13

哥猜分坛的鲁思顺是个三愚蠢四无知的老牌二百五
窥熊一兵王若仲赞评鲁思顺哥猜证明之一斑而知熊王诸多猜想证明之全豹是垃圾论坛上没有称得上靠得住的哥猜证明，却有些靠得住的二百五；鲁思顺是二百五中的突出代表，，，

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最为接近的两素数，所在范围

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