判定梅森质数的卢卡斯序列

ysr

最小解：p=79，( p, p+30, p+280 ) 与 ( 3p+310, 3p+340, 3p+590 )

1与1000000之间的素数打头有68组6生素数对: (用时52.07031秒）
/109/359/547/577/827p=79
/229/479/907/937/1187p=199
/631/881/2113/2143/2393p=601
/2017/2267/6271/6301/6551p=1987
/2161/2411/6703/6733/6983p=2131
/3217/3467/9871/9901/10151p=3187
/3739/3989/11437/11467/11717p=3709
/3823/4073/11689/11719/11969p=3793
/5023/5273/15289/15319/15569p=4993
/12241/12491/36943/36973/37223p=12211
/18253/18503/54979/55009/55259p=18223
/24001/24251/72223/72253/72503p=23971
/25639/25889/77137/77167/77417p=25609
/26437/26687/79531/79561/79811p=26407
/29629/29879/89107/89137/89387p=29599
/29863/30113/89809/89839/90089p=29833
/30727/30977/92401/92431/92681p=30697
/32443/32693/97549/97579/97829p=32413
/48571/48821/145933/145963/146213p=48541
/50341/50591/151243/151273/151523p=50311
/51721/51971/155383/155413/155663p=51691
/54163/54413/162709/162739/162989p=54133
/55381/55631/166363/166393/166643p=55351
/59197/59447/177811/177841/178091p=59167
/61717/61967/185371/185401/185651p=61687
/65707/65957/197341/197371/197621p=65677
/109201/109451/327823/327853/328103p=109171
/119827/120077/359701/359731/359981p=119797
/121357/121607/364291/364321/364571p=121327
/130057/130307/390391/390421/390671p=130027
/132697/132947/398311/398341/398591p=132667
/134089/134339/402487/402517/402767p=134059
/143137/143387/429631/429661/429911p=143107
/166237/166487/498931/498961/499211p=166207
/196081/196331/588463/588493/588743p=196051
/208003/208253/624229/624259/624509p=207973
/218107/218357/654541/654571/654821p=218077
/230311/230561/691153/691183/691433p=230281
/305611/305861/917053/917083/917333p=305581
/315127/315377/945601/945631/945881p=315097
/321199/321449/963817/963847/964097p=321169
/337891/338141/1013893/1013923/1014173p=337861
/359167/359417/1077721/1077751/1078001p=359137
/367603/367853/1103029/1103059/1103309p=367573
/408241/408491/1224943/1224973/1225223p=408211
/434323/434573/1303189/1303219/1303469p=434293
/440941/441191/1323043/1323073/1323323p=440911
/464413/464663/1393459/1393489/1393739p=464383
/527203/527453/1581829/1581859/1582109p=527173
/532669/532919/1598227/1598257/1598507p=532639
/562693/562943/1688299/1688329/1688579p=562663
/586723/586973/1760389/1760419/1760669p=586693
/590839/591089/1772737/1772767/1773017p=590809
/598189/598439/1794787/1794817/1795067p=598159
/604867/605117/1814821/1814851/1815101p=604837
/608977/609227/1827151/1827181/1827431p=608947
/629767/630017/1889521/1889551/1889801p=629737
/646573/646823/1939939/1939969/1940219p=646543
/677563/677813/2032909/2032939/2033189p=677533
/803479/803729/2410657/2410687/2410937p=803449
/813961/814211/2442103/2442133/2442383p=813931
/844183/844433/2532769/2532799/2533049p=844153
/863671/863921/2591233/2591263/2591513p=863641
/892627/892877/2678101/2678131/2678381p=892597
/895003/895253/2685229/2685259/2685509p=894973
/937693/937943/2813299/2813329/2813579p=937663
/964927/965177/2895001/2895031/2895281p=964897
/986599/986849/2960017/2960047/2960297p=986569

ysr

最小解：p=83，( p, p+30, p+290 ) 与 ( 3p+320, 3p+350, 3p+610 )

上班呢，一边上班一边算一下，啊啊，不知道哪个是主业了，啊！
过磅员，刚才一辆大车把门口小车刮蹭了一下，好在问题不大，已经和相关人员处理。哈哈哈！

1与1000000之间的素数打头有71组6生素数对: (用时51.6875秒）
/113/373/569/599/859p=83
/227/487/911/941/1201p=197
/311/571/1163/1193/1453p=281
/617/877/2081/2111/2371p=587
/827/1087/2711/2741/3001p=797
/2297/2557/7121/7151/7411p=2267
/2423/2683/7499/7529/7789p=2393
/3851/4111/11783/11813/12073p=3821
/4259/4519/13007/13037/13297p=4229
/6317/6577/19181/19211/19471p=6287
/7703/7963/23339/23369/23629p=7673
/9059/9319/27407/27437/27697p=9029
/12041/12301/36353/36383/36643p=12011
/13037/13297/39341/39371/39631p=13007
/26981/27241/81173/81203/81463p=26951
/30059/30319/90407/90437/90697p=30029
/33029/33289/99317/99347/99607p=32999
/35141/35401/105653/105683/105943p=35111
/39371/39631/118343/118373/118633p=39341
/41231/41491/123923/123953/124213p=41201
/47237/47497/141941/141971/142231p=47207
/58061/58321/174413/174443/174703p=58031
/58661/58921/176213/176243/176503p=58631
/83609/83869/251057/251087/251347p=83579
/120401/120661/361433/361463/361723p=120371
/156521/156781/469793/469823/470083p=156491
/159503/159763/478739/478769/479029p=159473
/175463/175723/526619/526649/526909p=175433
/185753/186013/557489/557519/557779p=185723
/191831/192091/575723/575753/576013p=191801
/195527/195787/586811/586841/587101p=195497
/196169/196429/588737/588767/589027p=196139
/203309/203569/610157/610187/610447p=203279
/203393/203653/610409/610439/610699p=203363
/206039/206299/618347/618377/618637p=206009
/223247/223507/669971/670001/670261p=223217
/255503/255763/766739/766769/767029p=255473
/260417/260677/781481/781511/781771p=260387
/282311/282571/847163/847193/847453p=282281
/314723/314983/944399/944429/944689p=314693
/328931/329191/987023/987053/987313p=328901
/329717/329977/989381/989411/989671p=329687
/335693/335953/1007309/1007339/1007599p=335663
/382103/382363/1146539/1146569/1146829p=382073
/406577/406837/1219961/1219991/1220251p=406547
/408719/408979/1226387/1226417/1226677p=408689
/428303/428563/1285139/1285169/1285429p=428273
/450101/450361/1350533/1350563/1350823p=450071
/467897/468157/1403921/1403951/1404211p=467867
/478199/478459/1434827/1434857/1435117p=478169
/483869/484129/1451837/1451867/1452127p=483839
/522413/522673/1567469/1567499/1567759p=522383
/529271/529531/1588043/1588073/1588333p=529241
/570389/570649/1711397/1711427/1711687p=570359
/636287/636547/1909091/1909121/1909381p=636257
/644717/644977/1934381/1934411/1934671p=644687
/659639/659899/1979147/1979177/1979437p=659609
/678371/678631/2035343/2035373/2035633p=678341
/786047/786307/2358371/2358401/2358661p=786017
/789251/789511/2367983/2368013/2368273p=789221
/795329/795589/2386217/2386247/2386507p=795299
/808391/808651/2425403/2425433/2425693p=808361
/819029/819289/2457317/2457347/2457607p=818999
/849731/849991/2549423/2549453/2549713p=849701
/918683/918943/2756279/2756309/2756569p=918653
/923441/923701/2770553/2770583/2770843p=923411
/927587/927847/2782991/2783021/2783281p=927557
/938309/938569/2815157/2815187/2815447p=938279
/947381/947641/2842373/2842403/2842663p=947351
/958289/958549/2875097/2875127/2875387p=958259
/984047/984307/2952371/2952401/2952661p=984017

ysr

转发的246楼，原贴的184楼的后8个素数既是！

对，是246楼，看到了，已经找到，就按这个算了。

ysr

剩余2个了，下面继续：
最小解：p=89，( p, p+60, p+2450 ) 与 ( 3p+2510, 3p+2570, 3p+4960 )

1与1000000之间的素数打头有54组6生素数对: (用时52.01953秒）
/149/2539/2777/2837/5227p=89
/563/2953/4019/4079/6469p=503
/1151/3541/5783/5843/8233p=1091
/6329/8719/21317/21377/23767p=6269
/8009/10399/26357/26417/28807p=7949
/12071/14461/38543/38603/40993p=12011
/21149/23539/65777/65837/68227p=21089
/25097/27487/77621/77681/80071p=25037
/37313/39703/114269/114329/116719p=37253
/45179/47569/137867/137927/140317p=45119
/50849/53239/154877/154937/157327p=50789
/61673/64063/187349/187409/189799p=61613
/67349/69739/204377/204437/206827p=67289
/73607/75997/223151/223211/225601p=73547
/92459/94849/279707/279767/282157p=92399
/96323/98713/291299/291359/293749p=96263
/113039/115429/341447/341507/343897p=112979
/114143/116533/344759/344819/347209p=114083
/128033/130423/386429/386489/388879p=127973
/129341/131731/390353/390413/392803p=129281
/148991/151381/449303/449363/451753p=148931
/149459/151849/450707/450767/453157p=149399
/170327/172717/513311/513371/515761p=170267
/170801/173191/514733/514793/517183p=170741
/173993/176383/524309/524369/526759p=173933
/183569/185959/553037/553097/555487p=183509
/208001/210391/626333/626393/628783p=207941
/228257/230647/687101/687161/689551p=228197
/229433/231823/690629/690689/693079p=229373
/269039/271429/809447/809507/811897p=268979
/277223/279613/833999/834059/836449p=277163
/299477/301867/900761/900821/903211p=299417
/303089/305479/911597/911657/914047p=303029
/312677/315067/940361/940421/942811p=312617
/314063/316453/944519/944579/946969p=314003
/323087/325477/971591/971651/974041p=323027
/349373/351763/1050449/1050509/1052899p=349313
/361511/363901/1086863/1086923/1089313p=361451
/363611/366001/1093163/1093223/1095613p=363551
/379913/382303/1142069/1142129/1144519p=379853
/397211/399601/1193963/1194023/1196413p=397151
/452027/454417/1358411/1358471/1360861p=451967
/456647/459037/1372271/1372331/1374721p=456587
/491417/493807/1476581/1476641/1479031p=491357
/525983/528373/1580279/1580339/1582729p=525923
/716411/718801/2151563/2151623/2154013p=716351
/757319/759709/2274287/2274347/2276737p=757259
/822389/824779/2469497/2469557/2471947p=822329
/849179/851569/2549867/2549927/2552317p=849119
/859049/861439/2579477/2579537/2581927p=858989
/866477/868867/2601761/2601821/2604211p=866417
/869717/872107/2611481/2611541/2613931p=869657
/887693/890083/2665409/2665469/2667859p=887633
/954971/957361/2867243/2867303/2869693p=954911

ysr

最小解：p=97，( p, p+60, p+880 ) 与 ( 3p+940, 3p+1000, 3p+1820 )

1与1000000之间的素数打头有61组6生素数对: (用时53.57031秒）
/157/977/1231/1291/2111p=97
/787/1607/3121/3181/4001p=727
/1627/2447/5641/5701/6521p=1567
/2371/3191/7873/7933/8753p=2311
/3433/4253/11059/11119/11939p=3373
/3673/4493/11779/11839/12659p=3613
/5701/6521/17863/17923/18743p=5641
/5743/6563/17989/18049/18869p=5683
/6529/7349/20347/20407/21227p=6469
/7411/8231/22993/23053/23873p=7351
/11443/12263/35089/35149/35969p=11383
/12799/13619/39157/39217/40037p=12739
/18583/19403/56509/56569/57389p=18523
/19507/20327/59281/59341/60161p=19447
/36433/37253/110059/110119/110939p=36373
/39217/40037/118411/118471/119291p=39157
/42283/43103/127609/127669/128489p=42223
/42451/43271/128113/128173/128993p=42391
/48907/49727/147481/147541/148361p=48847
/50053/50873/150919/150979/151799p=49993
/56269/57089/169567/169627/170447p=56209
/76597/77417/230551/230611/231431p=76537
/79147/79967/238201/238261/239081p=79087
/90067/90887/270961/271021/271841p=90007
/90373/91193/271879/271939/272759p=90313
/105397/106217/316951/317011/317831p=105337
/111781/112601/336103/336163/336983p=111721
/114973/115793/345679/345739/346559p=114913
/129097/129917/388051/388111/388931p=129037
/132529/133349/398347/398407/399227p=132469
/143503/144323/431269/431329/432149p=143443
/176389/177209/529927/529987/530807p=176329
/183361/184181/550843/550903/551723p=183301
/211741/212561/635983/636043/636863p=211681
/233173/233993/700279/700339/701159p=233113
/239671/240491/719773/719833/720653p=239611
/267433/268253/803059/803119/803939p=267373
/361903/362723/1086469/1086529/1087349p=361843
/371311/372131/1114693/1114753/1115573p=371251
/378523/379343/1136329/1136389/1137209p=378463
/426487/427307/1280221/1280281/1281101p=426427
/466261/467081/1399543/1399603/1400423p=466201
/528043/528863/1584889/1584949/1585769p=527983
/530701/531521/1592863/1592923/1593743p=530641
/564163/564983/1693249/1693309/1694129p=564103
/582601/583421/1748563/1748623/1749443p=582541
/588019/588839/1764817/1764877/1765697p=587959
/606037/606857/1818871/1818931/1819751p=605977
/672817/673637/2019211/2019271/2020091p=672757
/674761/675581/2025043/2025103/2025923p=674701
/697093/697913/2092039/2092099/2092919p=697033
/730399/731219/2191957/2192017/2192837p=730339
/749257/750077/2248531/2248591/2249411p=749197
/761437/762257/2285071/2285131/2285951p=761377
/805213/806033/2416399/2416459/2417279p=805153
/807931/808751/2424553/2424613/2425433p=807871
/816709/817529/2450887/2450947/2451767p=816649
/884287/885107/2653621/2653681/2654501p=884227
/943801/944621/2832163/2832223/2833043p=943741
/961789/962609/2886127/2886187/2887007p=961729
/963751/964571/2892013/2892073/2892893p=963691
完成，好在此问题程序速度快，没有占用多少时间，欢迎沟通探讨！

yangchuanju

ysr 发表于 2021-8-5 10:29
最小解：p=97，( p, p+60, p+880 ) 与 ( 3p+940, 3p+1000, 3p+1820 )

1与1000000之间的素数打头有61组6 ...

8点41分提出问题，9点09分着手准备，9点31分完成第1题，10点29分完成第8题；总共1个小时完成了我几天也不可能完成的工作，王老师实在“厉害”呀！

ysr

yangchuanju 发表于 2021-8-5 02:52
8点41分提出问题，9点09分着手准备，9点31分完成第1题，10点29分完成第8题；总共1个小时完成了我几天也不 ...

谢谢老师鼓励和帮助，互相切磋共同进步！

蔡家雄

存在大量的各种类型的累加或连乘式素数链，如 p，a1*p±b1，a2*p±b2，a3*p±b3，……

如a1=2, a2=4, a3=8, ……；b1=1, b2=3, b3=7, ……；

各项都取加号，就是坎宁安第一类素数链；

各项都取减号，就是坎宁安第二类素数链。坎宁安素数链已被研究的很透彻。

ysr

“vb程序与vfp程序很类似。”白新岭

对的，二者相似，是同一类型的编程开发系统。

ysr

蔡家雄 发表于 2021-8-5 13:11
请你再看一次，本主题的第一页的第1#楼、第5#楼、第8#楼，

从：素数阶乘的七生素数 有 无限多组 ( p , ...

嗯，看到了，能否证明呢？应该是能证明的，可能是成立的！