《数论探秘》电子版

ysr

585505245847997855444440241903与585505245847997855444440261903之间有16对差大于200的素数对:
585505245847997855444440243951/240
585505245847997855444440245809/232
585505245847997855444440246487/208
585505245847997855444440248517/228
585505245847997855444440250701/212
585505245847997855444440252501/272
585505245847997855444440253263/224
585505245847997855444440253561/210
585505245847997855444440253923/252
585505245847997855444440254343/204
585505245847997855444440255163/274
585505245847997855444440257047/216
585505245847997855444440257757/450
585505245847997855444440258397/390
585505245847997855444440258607/210
585505245847997855444440260571/510
用时3418.995秒

ysr

585505245847997855444440260571与585505245847997855444440300571之间有20对差大于200的素数对:
585505245847997855444440262561/204
585505245847997855444440263169/252
585505245847997855444440266337/306
585505245847997855444440267693/216
585505245847997855444440268329/266
585505245847997855444440270957/416
585505245847997855444440274137/230
585505245847997855444440274471/204
585505245847997855444440276597/296
585505245847997855444440277521/234
585505245847997855444440279117/254
585505245847997855444440280339/210
585505245847997855444440281691/470
585505245847997855444440284481/284
585505245847997855444440286831/202
585505245847997855444440287997/398
585505245847997855444440288477/234
585505245847997855444440291753/216
585505245847997855444440292669/420
585505245847997855444440294837/210
用时6688.977秒

ysr

146376311462000229044089943070   -   27661941^2  =146,376,311,461,999,463,861,110,055,589，
146,376,311,461,999,463,861,110,055,589+27661941=146,376,311,461,999,463,861,137,717,530，
146,376,311,461,999,463,861,137,717,530*4+1=585,505,245,847,997,855,444,550,870,121

ysr

585505245847997855444550870121与585505245847997855444550890121之间有16对差大于200的素数对:
585505245847997855444550870589/302
585505245847997855444550873763/216
585505245847997855444550874783/456
585505245847997855444550876391/282
585505245847997855444550876787/234
585505245847997855444550877331/280
585505245847997855444550878807/300
585505245847997855444550880027/300
585505245847997855444550881761/204
585505245847997855444550882731/210
585505245847997855444550884183/252
585505245847997855444550885233/346
585505245847997855444550886193/270
585505245847997855444550888463/224
585505245847997855444550888791/244
585505245847997855444550889043/252
用时3331.551秒

ysr

585505245847997855444550889043与585505245847997855444550909043之间有15对差大于200的素数对:
585505245847997855444550891739/396
585505245847997855444550892139/226
585505245847997855444550893333/222
585505245847997855444550895147/216
585505245847997855444550896873/256
585505245847997855444550897157/224
585505245847997855444550899311/270
585505245847997855444550901339/206
585505245847997855444550901687/288
585505245847997855444550901937/204
585505245847997855444550904337/204
585505245847997855444550904793/234
585505245847997855444550905119/230
585505245847997855444550905779/252
585505245847997855444550906809/258
用时3469.416秒

ysr

585505245847997855444550906809与585505245847997855444550926809之间有13对差大于200的素数对:
585505245847997855444550910579/212
585505245847997855444550911141/370
585505245847997855444550913481/322
585505245847997855444550913783/254
585505245847997855444550914473/204
585505245847997855444550915047/280
585505245847997855444550916739/238
585505245847997855444550918121/422
585505245847997855444550919817/246
585505245847997855444550921481/224
585505245847997855444550924169/236
585505245847997855444550924677/406
585505245847997855444550925471/222
用时3323.294秒

ysr

585505245847997855444550925471与585505245847997855444550965471之间有25对差大于200的素数对:
585505245847997855444550928531/312
585505245847997855444550929063/210
585505245847997855444550930593/222
585505245847997855444550934681/228
585505245847997855444550936001/294
585505245847997855444550937519/210
585505245847997855444550940331/222
585505245847997855444550941501/282
585505245847997855444550943381/222
585505245847997855444550944279/222
585505245847997855444550945871/212
585505245847997855444550946157/216
585505245847997855444550947779/228
585505245847997855444550949577/274
585505245847997855444550951323/396
585505245847997855444550952387/224
585505245847997855444550953807/234
585505245847997855444550954047/240
585505245847997855444550954469/270
585505245847997855444550955543/500
585505245847997855444550956531/298
585505245847997855444550957623/220
585505245847997855444550958357/278
585505245847997855444550964579/342
585505245847997855444550965191/210
用时6670.973秒

ysr

146376311462000229044089943070-27661940^2=146,376,311,461,999,463,861,165,379,470，
146,376,311,461,999,463,861,165,379,470*4+1=585,505,245,847,997,855,444,661,517,881，
146,376,311,461,999,463,861,165,379,470+27661940=146,376,311,461,999,463,861,193,041,410，
146,376,311,461,999,463,861,193,041,410*4+1=585,505,245,847,997,855,444,772,165,641

ysr

585505245847997855444772165641与585505245847997855444772185641之间有12对差大于200的素数对:
585505245847997855444772168421/204
585505245847997855444772169643/232
585505245847997855444772172247/220
585505245847997855444772173077/236
585505245847997855444772174133/302
585505245847997855444772175103/204
585505245847997855444772177089/352
585505245847997855444772180559/360
585505245847997855444772181157/330
585505245847997855444772184019/316
585505245847997855444772184223/204
585505245847997855444772184733/250
用时3620.757秒

ysr

1与500之间有24对孪生素数对:
3和 5  孪中4
5和 7  孪中6
11和 13  孪中12
17和 19  孪中18
29和 31  孪中30
41和 43  孪中42
59和 61  孪中60
71和 73  孪中72
101和 103  孪中102
107和 109  孪中108
137和 139  孪中138
149和 151  孪中150
179和 181  孪中180
191和 193  孪中192
197和 199  孪中198
227和 229  孪中228
239和 241  孪中240
269和 271  孪中270
281和 283  孪中282
311和 313  孪中312
347和 349  孪中348
419和 421  孪中420
431和 433  孪中432
461和 463  孪中462
用时5.59999999968568E-02秒

除了第一对的3和5，其他的孪生素数对中，第一个都是6n+5或者说3n+2型的，第二个都是6n+1或者说是3n+1型的。

有了这些规律，配合大整数的快速计算程序，就可以快速找到巨大的孪生素数对，破解世界纪录。