判定梅森质数的卢卡斯序列

ysr

蔡家雄 发表于 2021-8-3 08:13
同邻距的三生素数
且前一组三生素数之和是后一组三生素数的首项，

1与1000000之间的素数打头有40组6生素数对: (用时107.9258秒）
/59/109/197/227/277p=29
/113/163/359/389/439p=83
/521/571/1583/1613/1663p=491
/857/907/2591/2621/2671p=827
/983/1033/2969/2999/3049p=953
/2663/2713/8009/8039/8089p=2633
/3167/3217/9521/9551/9601p=3137
/31013/31063/93059/93089/93139p=30983
/33629/33679/100907/100937/100987p=33599
/35171/35221/105533/105563/105613p=35141
/45293/45343/135899/135929/135979p=45263
/47237/47287/141731/141761/141811p=47207
/51899/51949/155717/155747/155797p=51869
/99527/99577/298601/298631/298681p=99497
/103421/103471/310283/310313/310363p=103391
/110573/110623/331739/331769/331819p=110543
/127247/127297/381761/381791/381841p=127217
/136223/136273/408689/408719/408769p=136193
/151553/151603/454679/454709/454759p=151523
/163367/163417/490121/490151/490201p=163337
/203381/203431/610163/610193/610243p=203351
/260417/260467/781271/781301/781351p=260387
/270749/270799/812267/812297/812347p=270719
/275003/275053/825029/825059/825109p=274973
/306041/306091/918143/918173/918223p=306011
/329297/329347/987911/987941/987991p=329267
/335693/335743/1007099/1007129/1007179p=335663
/343589/343639/1030787/1030817/1030867p=343559
/359327/359377/1078001/1078031/1078081p=359297
/419513/419563/1258559/1258589/1258639p=419483
/480803/480853/1442429/1442459/1442509p=480773
/490493/490543/1471499/1471529/1471579p=490463
/578483/578533/1735469/1735499/1735549p=578453
/666023/666073/1998089/1998119/1998169p=665993
/666557/666607/1999691/1999721/1999771p=666527
/670001/670051/2010023/2010053/2010103p=669971
/678989/679039/2036987/2037017/2037067p=678959
/724517/724567/2173571/2173601/2173651p=724487
/881357/881407/2644091/2644121/2644171p=881327
/961733/961783/2885219/2885249/2885299p=961703

蔡家雄

ysr 发表于 2021-8-3 17:55
1与1000000之间的素数打头有40组6生素数对: (用时107.9258秒）
/59/109/197/227/277p=29
/113/163/359/ ...

同邻距的三生素数
且前一组三生素数之和是后一组三生素数的首项，

最小解：p=29，( p, p+30, p+110 ) 与 ( 3p+140, 3p+170, 3p+250 )

———  p <= 10^6，有几组解 ？？？

ysr

蔡家雄 发表于 2021-8-3 10:07
同邻距的三生素数
且前一组三生素数之和是后一组三生素数的首项，

1与1000000之间的素数打头有48组6生素数对: (用时106.3984秒）
/59/139/227/257/337p=29
/71/151/263/293/373p=41
/101/181/353/383/463p=71
/113/193/389/419/499p=83
/269/349/857/887/967p=239
/1613/1693/4889/4919/4999p=1583
/3041/3121/9173/9203/9283p=3011
/4523/4603/13619/13649/13729p=4493
/13259/13339/39827/39857/39937p=13229
/13553/13633/40709/40739/40819p=13523
/21407/21487/64271/64301/64381p=21377
/52727/52807/158231/158261/158341p=52697
/56843/56923/170579/170609/170689p=56813
/85121/85201/255413/255443/255523p=85091
/108263/108343/324839/324869/324949p=108233
/136403/136483/409259/409289/409369p=136373
/139343/139423/418079/418109/418189p=139313
/182309/182389/546977/547007/547087p=182279
/198689/198769/596117/596147/596227p=198659
/221201/221281/663653/663683/663763p=221171
/237959/238039/713927/713957/714037p=237929
/270539/270619/811667/811697/811777p=270509
/273113/273193/819389/819419/819499p=273083
/289031/289111/867143/867173/867253p=289001
/304937/305017/914861/914891/914971p=304907
/341477/341557/1024481/1024511/1024591p=341447
/342107/342187/1026371/1026401/1026481p=342077
/347063/347143/1041239/1041269/1041349p=347033
/374123/374203/1122419/1122449/1122529p=374093
/396299/396379/1188947/1188977/1189057p=396269
/397013/397093/1191089/1191119/1191199p=396983
/444557/444637/1333721/1333751/1333831p=444527
/467447/467527/1402391/1402421/1402501p=467417
/514277/514357/1542881/1542911/1542991p=514247
/548957/549037/1646921/1646951/1647031p=548927
/563039/563119/1689167/1689197/1689277p=563009
/597689/597769/1793117/1793147/1793227p=597659
/610877/610957/1832681/1832711/1832791p=610847
/637409/637489/1912277/1912307/1912387p=637379
/665633/665713/1996949/1996979/1997059p=665603
/683819/683899/2051507/2051537/2051617p=683789
/695801/695881/2087453/2087483/2087563p=695771
/766937/767017/2300861/2300891/2300971p=766907
/783707/783787/2351171/2351201/2351281p=783677
/797063/797143/2391239/2391269/2391349p=797033
/831461/831541/2494433/2494463/2494543p=831431
/874457/874537/2623421/2623451/2623531p=874427
/906263/906343/2718839/2718869/2718949p=906233

蔡家雄

ysr 发表于 2021-8-3 18:13
1与1000000之间的素数打头有48组6生素数对: (用时106.3984秒）
/59/139/227/257/337p=29
/71/151/263/2 ...

同邻距的三生素数
且前一组三生素数之和是后一组三生素数的首项，

最小解：p=29，( p, p+30, p+740 ) 与 ( 3p+770, 3p+800, 3p+1510 )

———  p<= 10^6，有几组解 ？？？

ysr

蔡家雄 发表于 2021-8-3 10:17
同邻距的三生素数
且前一组三生素数之和是后一组三生素数的首项，

1与1000000之间的素数打头有48组6生素数对: (用时109.8438秒）
/59/769/857/887/1597p=29
/101/811/983/1013/1723p=71
/113/823/1019/1049/1759p=83
/2621/3331/8543/8573/9283p=2591
/4259/4969/13457/13487/14197p=4229
/9719/10429/29837/29867/30577p=9689
/10181/10891/31223/31253/31963p=10151
/18371/19081/55793/55823/56533p=18341
/20147/20857/61121/61151/61861p=20117
/37619/38329/113537/113567/114277p=37589
/57149/57859/172127/172157/172867p=57119
/58367/59077/175781/175811/176521p=58337
/59951/60661/180533/180563/181273p=59921
/63617/64327/191531/191561/192271p=63587
/103841/104551/312203/312233/312943p=103811
/139121/139831/418043/418073/418783p=139091
/139343/140053/418709/418739/419449p=139313
/147773/148483/443999/444029/444739p=147743
/162641/163351/488603/488633/489343p=162611
/189437/190147/568991/569021/569731p=189407
/201911/202621/606413/606443/607153p=201881
/214481/215191/644123/644153/644863p=214451
/219311/220021/658613/658643/659353p=219281
/248753/249463/746939/746969/747679p=248723
/263621/264331/791543/791573/792283p=263591
/264083/264793/792929/792959/793669p=264053
/276389/277099/829847/829877/830587p=276359
/278237/278947/835391/835421/836131p=278207
/327881/328591/984323/984353/985063p=327851
/335693/336403/1007759/1007789/1008499p=335663
/371087/371797/1113941/1113971/1114681p=371057
/394019/394729/1182737/1182767/1183477p=393989
/394187/394897/1183241/1183271/1183981p=394157
/494651/495361/1484633/1484663/1485373p=494621
/495587/496297/1487441/1487471/1488181p=495557
/538079/538789/1614917/1614947/1615657p=538049
/548243/548953/1645409/1645439/1646149p=548213
/605879/606589/1818317/1818347/1819057p=605849
/620579/621289/1862417/1862447/1863157p=620549
/651323/652033/1954649/1954679/1955389p=651293
/710867/711577/2133281/2133311/2134021p=710837
/715919/716629/2148437/2148467/2149177p=715889
/774047/774757/2322821/2322851/2323561p=774017
/789251/789961/2368433/2368463/2369173p=789221
/791519/792229/2375237/2375267/2375977p=791489
/797429/798139/2392967/2392997/2393707p=797399
/946697/947407/2840771/2840801/2841511p=946667
/971141/971851/2914103/2914133/2914843p=971111

蔡家雄

ysr 发表于 2021-8-3 18:33
1与1000000之间的素数打头有48组6生素数对: (用时109.8438秒）
/59/769/857/887/1597p=29
/101/811/983 ...

同邻距的三生素数
且前一组三生素数之和是后一组三生素数的首项，

最小解：p=31，( p, p+30, p+160 ) 与 ( 3p+190, 3p+220, 3p+350 )

———  p <= 10^6，有几组解 ？？？

ysr

蔡家雄 发表于 2021-8-3 10:37
同邻距的三生素数
且前一组三生素数之和是后一组三生素数的首项，

1与1000000之间的素数打头有61组6生素数对: (用时111.0703秒）
/61/191/283/313/443p=31
/103/233/409/439/569p=73
/853/983/2659/2689/2819p=823
/3541/3671/10723/10753/10883p=3511
/3673/3803/11119/11149/11279p=3643
/4129/4259/12487/12517/12647p=4099
/4591/4721/13873/13903/14033p=4561
/7699/7829/23197/23227/23357p=7669
/13033/13163/39199/39229/39359p=13003
/20887/21017/62761/62791/62921p=20857
/23623/23753/70969/70999/71129p=23593
/27487/27617/82561/82591/82721p=27457
/31387/31517/94261/94291/94421p=31357
/33619/33749/100957/100987/101117p=33589
/49957/50087/149971/150001/150131p=49927
/55837/55967/167611/167641/167771p=55807
/56467/56597/169501/169531/169661p=56437
/69691/69821/209173/209203/209333p=69661
/72763/72893/218389/218419/218549p=72733
/82171/82301/246613/246643/246773p=82141
/106693/106823/320179/320209/320339p=106663
/131731/131861/395293/395323/395453p=131701
/134707/134837/404221/404251/404381p=134677
/149287/149417/447961/447991/448121p=149257
/160711/160841/482233/482263/482393p=160681
/187507/187637/562621/562651/562781p=187477
/190783/190913/572449/572479/572609p=190753
/218419/218549/655357/655387/655517p=218389
/256801/256931/770503/770533/770663p=256771
/273727/273857/821281/821311/821441p=273697
/285871/286001/857713/857743/857873p=285841
/289603/289733/868909/868939/869069p=289573
/323797/323927/971491/971521/971651p=323767
/330853/330983/992659/992689/992819p=330823
/340927/341057/1022881/1022911/1023041p=340897
/349207/349337/1047721/1047751/1047881p=349177
/354451/354581/1063453/1063483/1063613p=354421
/366463/366593/1099489/1099519/1099649p=366433
/374317/374447/1123051/1123081/1123211p=374287
/375703/375833/1127209/1127239/1127369p=375673
/469237/469367/1407811/1407841/1407971p=469207
/480583/480713/1441849/1441879/1442009p=480553
/495619/495749/1486957/1486987/1487117p=495589
/497047/497177/1491241/1491271/1491401p=497017
/501493/501623/1504579/1504609/1504739p=501463
/505693/505823/1517179/1517209/1517339p=505663
/519553/519683/1558759/1558789/1558919p=519523
/544927/545057/1634881/1634911/1635041p=544897
/579409/579539/1738327/1738357/1738487p=579379
/579571/579701/1738813/1738843/1738973p=579541
/611323/611453/1834069/1834099/1834229p=611293
/676129/676259/2028487/2028517/2028647p=676099
/697381/697511/2092243/2092273/2092403p=697351
/716959/717089/2150977/2151007/2151137p=716929
/727747/727877/2183341/2183371/2183501p=727717
/810109/810239/2430427/2430457/2430587p=810079
/891421/891551/2674363/2674393/2674523p=891391
/896587/896717/2689861/2689891/2690021p=896557
/939469/939599/2818507/2818537/2818667p=939439
/941359/941489/2824177/2824207/2824337p=941329
/961189/961319/2883667/2883697/2883827p=961159

蔡家雄

ysr 发表于 2021-8-3 18:45
1与1000000之间的素数打头有61组6生素数对: (用时111.0703秒）
/61/191/283/313/443p=31
/103/233/409/ ...

同邻距的三生素数
且前一组三生素数之和是后一组三生素数的首项，

最小解：p=31，( p, p+30, p+490 ) 与 ( 3p+520, 3p+550, 3p+1010 )

———  p <= 10^6，有几组解 ？？？

ysr

蔡家雄 发表于 2021-8-3 11:03
同邻距的三生素数
且前一组三生素数之和是后一组三生素数的首项，

1与1000000之间的素数打头有85组6生素数对: (用时141.6797秒）
/61/521/613/643/1103p=31
/103/563/739/769/1229p=73
/193/653/1009/1039/1499p=163
/967/1427/3331/3361/3821p=937
/1051/1511/3583/3613/4073p=1021
/1579/2039/5167/5197/5657p=1549
/3001/3461/9433/9463/9923p=2971
/4327/4787/13411/13441/13901p=4297
/4621/5081/14293/14323/14783p=4591
/5209/5669/16057/16087/16547p=5179
/8293/8753/25309/25339/25799p=8263
/9931/10391/30223/30253/30713p=9901
/10399/10859/31627/31657/32117p=10369
/12451/12911/37783/37813/38273p=12421
/12541/13001/38053/38083/38543p=12511
/19009/19469/57457/57487/57947p=18979
/19531/19991/59023/59053/59513p=19501
/25849/26309/77977/78007/78467p=25819
/28603/29063/86239/86269/86729p=28573
/40387/40847/121591/121621/122081p=40357
/44059/44519/132607/132637/133097p=44029
/44917/45377/135181/135211/135671p=44887
/46663/47123/140419/140449/140909p=46633
/49393/49853/148609/148639/149099p=49363
/54979/55439/165367/165397/165857p=54949
/58441/58901/175753/175783/176243p=58411
/59497/59957/178921/178951/179411p=59467
/65119/65579/195787/195817/196277p=65089
/70879/71339/213067/213097/213557p=70849
/76801/77261/230833/230863/231323p=76771
/82003/82463/246439/246469/246929p=81973
/85009/85469/255457/255487/255947p=84979
/87547/88007/263071/263101/263561p=87517
/107671/108131/323443/323473/323933p=107641
/109387/109847/328591/328621/329081p=109357
/138433/138893/415729/415759/416219p=138403
/144439/144899/433747/433777/434237p=144409
/159223/159683/478099/478129/478589p=159193
/169531/169991/509023/509053/509513p=169501
/194269/194729/583237/583267/583727p=194239
/196081/196541/588673/588703/589163p=196051
/199813/200273/599869/599899/600359p=199783
/226843/227303/680959/680989/681449p=226813
/240139/240599/720847/720877/721337p=240109
/262651/263111/788383/788413/788873p=262621
/268777/269237/806761/806791/807251p=268747
/275083/275543/825679/825709/826169p=275053
/280537/280997/842041/842071/842531p=280507
/305551/306011/917083/917113/917573p=305521
/357817/358277/1073881/1073911/1074371p=357787
/364543/365003/1094059/1094089/1094549p=364513
/408241/408701/1225153/1225183/1225643p=408211
/409063/409523/1227619/1227649/1228109p=409033
/415171/415631/1245943/1245973/1246433p=415141
/426787/427247/1280791/1280821/1281281p=426757
/445477/445937/1336861/1336891/1337351p=445447
/447907/448367/1344151/1344181/1344641p=447877
/454213/454673/1363069/1363099/1363559p=454183
/473527/473987/1421011/1421041/1421501p=473497
/475759/476219/1427707/1427737/1428197p=475729
/490579/491039/1472167/1472197/1472657p=490549
/519919/520379/1560187/1560217/1560677p=519889
/522229/522689/1567117/1567147/1567607p=522199
/523489/523949/1570897/1570927/1571387p=523459
/524731/525191/1574623/1574653/1575113p=524701
/577939/578399/1734247/1734277/1734737p=577909
/671917/672377/2016181/2016211/2016671p=671887
/679669/680129/2039437/2039467/2039927p=679639
/695017/695477/2085481/2085511/2085971p=694987
/701209/701669/2104057/2104087/2104547p=701179
/719821/720281/2159893/2159923/2160383p=719791
/722611/723071/2168263/2168293/2168753p=722581
/728929/729389/2187217/2187247/2187707p=728899
/756463/756923/2269819/2269849/2270309p=756433
/762031/762491/2286523/2286553/2287013p=762001
/765199/765659/2296027/2296057/2296517p=765169
/775741/776201/2327653/2327683/2328143p=775711
/789031/789491/2367523/2367553/2368013p=789001
/798757/799217/2396701/2396731/2397191p=798727
/878659/879119/2636407/2636437/2636897p=878629
/886999/887459/2661427/2661457/2661917p=886969
/904663/905123/2714419/2714449/2714909p=904633
/921121/921581/2763793/2763823/2764283p=921091
/922321/922781/2767393/2767423/2767883p=922291
/965161/965621/2895913/2895943/2896403p=965131

蔡家雄

ysr 发表于 2021-8-3 19:14
1与1000000之间的素数打头有85组6生素数对: (用时141.6797秒）
/61/521/613/643/1103p=31
/103/563/739 ...

同邻距的三生素数
且前一组三生素数之和是后一组三生素数的首项，

最小解：p=37，( p, p+30, p+520 ) 与 ( 3p+550, 3p+580, 3p+1070 )

———  p <= 10^6，有几组解 ？？？