《数论探秘》电子版

ysr

585505245847997855443997756887与585505245847997855443997796887之间有31对差大于200的素数对:
585505245847997855443997757349/272
585505245847997855443997759963/246
585505245847997855443997761747/210
585505245847997855443997762467/230
585505245847997855443997763419/208
585505245847997855443997767117/266
585505245847997855443997768693/214
585505245847997855443997769167/204
585505245847997855443997770073/210
585505245847997855443997771437/228
585505245847997855443997771707/234
585505245847997855443997772617/414
585505245847997855443997773237/228
585505245847997855443997773891/228
585505245847997855443997774207/208
585505245847997855443997774989/312
585505245847997855443997777969/276
585505245847997855443997779553/216
585505245847997855443997779871/258
585505245847997855443997780863/266
585505245847997855443997783623/204
585505245847997855443997784677/250
585505245847997855443997785321/300
585505245847997855443997786291/304
585505245847997855443997788783/260
585505245847997855443997790751/222
585505245847997855443997792267/328
585505245847997855443997792711/444
585505245847997855443997794307/220
585505245847997855443997795123/214
585505245847997855443997796851/262
用时-57395.164秒

ysr

产生差为2m的2生素数的充分条件（这个就是充分条件不是必要条件）：就是存在大于等于4的相邻素数，证明：
比如如下数列：
2n+1：        3，5，7，……
2n+2m+1：3+2m，5+2m，7+2m，……
对应项差为2m，对应项都是素数的话就是一对2生素数。设p1，p2为相邻素数，若p2-p1>=4，则在p2+2与3p2之间至少有一个素数与对应项构成2生素数，因为素因子第一次出现的时候是以素数的身份出现的在p2的第一个周期是各素因子占位最多的情况，而在p2的第二个周期3和p2重复占位了，就产生了一个空缺，这是必然的。充分条件得证！

ysr

585505245847997855443997855563与585505245847997855443997885563之间有20对差大于200的素数对:
585505245847997855443997858471/202
585505245847997855443997860001/252
585505245847997855443997860513/234
585505245847997855443997861009/240
585505245847997855443997862547/264
585505245847997855443997864393/270
585505245847997855443997864743/294
585505245847997855443997866909/206
585505245847997855443997871529/216
585505245847997855443997873827/210
585505245847997855443997874617/220
585505245847997855443997875211/220
585505245847997855443997876671/240
585505245847997855443997877017/276
585505245847997855443997878249/380
585505245847997855443997878741/432
585505245847997855443997880629/238
585505245847997855443997880839/202
585505245847997855443997883431/310
585505245847997855443997884219/356
用时5015.606秒

ysr

585505245847997855443997884219与585505245847997855443997904219之间有15对差大于200的素数对:
585505245847997855443997886937/266
585505245847997855443997887571/312
585505245847997855443997887969/278
585505245847997855443997888683/324
585505245847997855443997889107/364
585505245847997855443997889971/328
585505245847997855443997891063/256
585505245847997855443997891411/204
585505245847997855443997894377/240
585505245847997855443997895019/272
585505245847997855443997896481/352
585505245847997855443997899613/444
585505245847997855443997899843/230
585505245847997855443997901413/214
585505245847997855443997902757/336
用时6251.103秒

ysr

585505245847997855443997902757与585505245847997855443997922757之间有16对差大于200的素数对:
585505245847997855443997904881/208
585505245847997855443997907359/292
585505245847997855443997907959/240
585505245847997855443997909207/264
585505245847997855443997910227/234
585505245847997855443997911283/214
585505245847997855443997913149/202
585505245847997855443997914703/256
585505245847997855443997915981/304
585505245847997855443997918143/212
585505245847997855443997918627/294
585505245847997855443997919823/350
585505245847997855443997920487/324
585505245847997855443997921017/210
585505245847997855443997921653/404
585505245847997855443997922953/232
用时3233.12899999999秒

ysr

585505245847997855443997922953与585505245847997855443997962953之间有19对差大于200的素数对:
585505245847997855443997925077/456
585505245847997855443997926147/258
585505245847997855443997927207/216
585505245847997855443997928733/330
585505245847997855443997932241/234
585505245847997855443997933387/280
585505245847997855443997935249/242
585505245847997855443997936813/210
585505245847997855443997937413/232
585505245847997855443997939909/270
585505245847997855443997940469/306
585505245847997855443997945677/216
585505245847997855443997953007/328
585505245847997855443997953687/264
585505245847997855443997956643/220
585505245847997855443997958281/220
585505245847997855443997959343/232
585505245847997855443997959673/250
585505245847997855443997961623/216
用时6913.805秒

ysr

585505245847997855443997961623与585505245847997855443998001623之间有34对差大于200的素数对:
585505245847997855443997963539/236
585505245847997855443997965319/448
585505245847997855443997966089/236
585505245847997855443997966573/204
585505245847997855443997966909/300
585505245847997855443997967757/314
585505245847997855443997968399/282
585505245847997855443997970857/306
585505245847997855443997971691/202
585505245847997855443997972191/212
585505245847997855443997972659/206
585505245847997855443997973223/230
585505245847997855443997974753/260
585505245847997855443997975227/378
585505245847997855443997975989/296
585505245847997855443997976631/230
585505245847997855443997977213/242
585505245847997855443997978321/252
585505245847997855443997979623/210
585505245847997855443997981141/202
585505245847997855443997983867/276
585505245847997855443997984357/270
585505245847997855443997986771/258
585505245847997855443997990263/206
585505245847997855443997990731/344
585505245847997855443997992651/212
585505245847997855443997993009/292
585505245847997855443997994491/250
585505245847997855443997995249/236
585505245847997855443997995667/246
585505245847997855443997997383/252
585505245847997855443997999309/268
585505245847997855443997999987/354
585505245847997855443998000419/238
用时24429.235秒

ysr

585505245847997855443998000419与585505245847997855443998040419之间有26对差大于200的素数对:
585505245847997855443998001957/324
585505245847997855443998003061/308
585505245847997855443998006911/282
585505245847997855443998007583/220
585505245847997855443998008147/204
585505245847997855443998010543/212
585505245847997855443998011741/214
585505245847997855443998014029/210
585505245847997855443998014891/358
585505245847997855443998015253/204
585505245847997855443998019763/240
585505245847997855443998020509/270
585505245847997855443998024113/234
585505245847997855443998026657/270
585505245847997855443998026947/216
585505245847997855443998029813/474
585505245847997855443998030461/214
585505245847997855443998031583/232
585505245847997855443998032257/296
585505245847997855443998033391/300
585505245847997855443998033997/204
585505245847997855443998034649/226
585505245847997855443998035513/226
585505245847997855443998037177/218
585505245847997855443998038359/296
585505245847997855443998039481/234
用时18365.087秒

ysr

585505245847997855443998079069与585505245847997855443998119069之间有33对差大于200的素数对:
585505245847997855443998082703/216
585505245847997855443998083117/216
585505245847997855443998085399/312
585505245847997855443998086329/396
585505245847997855443998087143/222
585505245847997855443998087973/254
585505245847997855443998089003/232
585505245847997855443998091739/220
585505245847997855443998092551/212
585505245847997855443998093073/314
585505245847997855443998094163/232
585505245847997855443998095977/380
585505245847997855443998096179/202
585505245847997855443998096511/264
585505245847997855443998096997/210
585505245847997855443998097853/232
585505245847997855443998099859/266
585505245847997855443998100307/228
585505245847997855443998100919/210
585505245847997855443998101719/252
585505245847997855443998102967/338
585505245847997855443998103847/228
585505245847997855443998104201/300
585505245847997855443998106519/320
585505245847997855443998108673/230
585505245847997855443998110867/204
585505245847997855443998112559/222
585505245847997855443998113197/248
585505245847997855443998116029/242
585505245847997855443998116629/362
585505245847997855443998117707/240
585505245847997855443998118273/230
585505245847997855443998118673/282
用时6820.562秒

ysr

146,376,311,462,000,229,044,089,943,070-27,661,942^2=146,376,311,461,999,463,861,054,731,706,
146,376,311,461,999,463,861,054,731,706*4+1=585,505,245,847,997,855,444,218,926,825