判定梅森质数的卢卡斯序列

ysr

蔡家雄 发表于 2021-8-3 11:18
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115组6生素数对: (用时133.7734秒）
/67/557/661/691/1181p=37
/193/683/1039/1069/1559p=163
/211/701/1093/1123/1613p=181
/607/1097/2281/2311/2801p=577
/1093/1583/3739/3769/4259p=1063
/1579/2069/5197/5227/5717p=1549
/1777/2267/5791/5821/6311p=1747
/1861/2351/6043/6073/6563p=1831
/2371/2861/7573/7603/8093p=2341
/4513/5003/13999/14029/14519p=4483
/4597/5087/14251/14281/14771p=4567
/5653/6143/17419/17449/17939p=5623
/15307/15797/46381/46411/46901p=15277
/16063/16553/48649/48679/49169p=16033
/16447/16937/49801/49831/50321p=16417
/17449/17939/52807/52837/53327p=17419
/19249/19739/58207/58237/58727p=19219
/23623/24113/71329/71359/71849p=23593
/24133/24623/72859/72889/73379p=24103
/31771/32261/95773/95803/96293p=31741
/44059/44549/132637/132667/133157p=44029
/45337/45827/136471/136501/136991p=45307
/47149/47639/141907/141937/142427p=47119
/48619/49109/146317/146347/146837p=48589
/49363/49853/148549/148579/149069p=49333
/53407/53897/160681/160711/161201p=53377
/55411/55901/166693/166723/167213p=55381
/62791/63281/188833/188863/189353p=62761
/65617/66107/197311/197341/197831p=65587
/69691/70181/209533/209563/210053p=69661
/86323/86813/259429/259459/259949p=86293
/96517/97007/290011/290041/290531p=96487
/97453/97943/292819/292849/293339p=97423
/99901/100391/300163/300193/300683p=99871
/105943/106433/318289/318319/318809p=105913
/108991/109481/327433/327463/327953p=108961
/116491/116981/349933/349963/350453p=116461
/123631/124121/371353/371383/371873p=123601
/126229/126719/379147/379177/379667p=126199
/126613/127103/380299/380329/380819p=126583
/137383/137873/412609/412639/413129p=137353
/139297/139787/418351/418381/418871p=139267
/140869/141359/423067/423097/423587p=140839
/148579/149069/446197/446227/446717p=148549
/156259/156749/469237/469267/469757p=156229
/156619/157109/470317/470347/470837p=156589
/175573/176063/527179/527209/527699p=175543
/206623/207113/620329/620359/620849p=206593
/210169/210659/630967/630997/631487p=210139
/211369/211859/634567/634597/635087p=211339
/215689/216179/647527/647557/648047p=215659
/233941/234431/702283/702313/702803p=233911
/237073/237563/711679/711709/712199p=237043
/246811/247301/740893/740923/741413p=246781
/255709/256199/767587/767617/768107p=255679
/267229/267719/802147/802177/802667p=267199
/269953/270443/810319/810349/810839p=269923
/270577/271067/812191/812221/812711p=270547
/281791/282281/845833/845863/846353p=281761
/281923/282413/846229/846259/846749p=281893
/282127/282617/846841/846871/847361p=282097
/293893/294383/882139/882169/882659p=293863
/295111/295601/885793/885823/886313p=295081
/306877/307367/921091/921121/921611p=306847
/325219/325709/976117/976147/976637p=325189
/338197/338687/1015051/1015081/1015571p=338167
/368227/368717/1105141/1105171/1105661p=368197
/380329/380819/1141447/1141477/1141967p=380299
/386839/387329/1160977/1161007/1161497p=386809
/410983/411473/1233409/1233439/1233929p=410953
/420103/420593/1260769/1260799/1261289p=420073
/429853/430343/1290019/1290049/1290539p=429823
/432037/432527/1296571/1296601/1297091p=432007
/466183/466673/1399009/1399039/1399529p=466153
/470089/470579/1410727/1410757/1411247p=470059
/474937/475427/1425271/1425301/1425791p=474907
/488227/488717/1465141/1465171/1465661p=488197
/507697/508187/1523551/1523581/1524071p=507667
/544429/544919/1633747/1633777/1634267p=544399
/545161/545651/1635943/1635973/1636463p=545131
/549421/549911/1648723/1648753/1649243p=549391
/556273/556763/1669279/1669309/1669799p=556243
/560683/561173/1682509/1682539/1683029p=560653
/570529/571019/1712047/1712077/1712567p=570499
/580747/581237/1742701/1742731/1743221p=580717
/602977/603467/1809391/1809421/1809911p=602947
/612877/613367/1839091/1839121/1839611p=612847
/636241/636731/1909183/1909213/1909703p=636211
/637201/637691/1912063/1912093/1912583p=637171
/640771/641261/1922773/1922803/1923293p=640741
/651727/652217/1955641/1955671/1956161p=651697
/652447/652937/1957801/1957831/1958321p=652417
/687433/687923/2062759/2062789/2063279p=687403
/688573/689063/2066179/2066209/2066699p=688543
/701791/702281/2105833/2105863/2106353p=701761
/714949/715439/2145307/2145337/2145827p=714919
/730777/731267/2192791/2192821/2193311p=730747
/734047/734537/2202601/2202631/2203121p=734017
/747451/747941/2242813/2242843/2243333p=747421
/760519/761009/2282017/2282047/2282537p=760489
/775669/776159/2327467/2327497/2327987p=775639
/777571/778061/2333173/2333203/2333693p=777541
/785839/786329/2357977/2358007/2358497p=785809
/786979/787469/2361397/2361427/2361917p=786949
/805027/805517/2415541/2415571/2416061p=804997
/831661/832151/2495443/2495473/2495963p=831631
/838993/839483/2517439/2517469/2517959p=838963
/845893/846383/2538139/2538169/2538659p=845863
/852151/852641/2556913/2556943/2557433p=852121
/856147/856637/2568901/2568931/2569421p=856117
/859423/859913/2578729/2578759/2579249p=859393
/876853/877343/2631019/2631049/2631539p=876823
/970687/971177/2912521/2912551/2913041p=970657
/988021/988511/2964523/2964553/2965043p=987991
/998197/998687/2995051/2995081/2995571p=998167

蔡家雄

ysr 发表于 2021-8-3 19:31
1与1000000之间的素数打头有115组6生素数对: (用时133.7734秒）
/67/557/661/691/1181p=37
/193/683/10 ...

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=41，( p, p+20, p+150 ) 与 ( 3p+170, 3p+190, 3p+320 )

———  p <= 10^6，有几组解 ？？？

ysr

蔡家雄 发表于 2021-8-3 12:00
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69组6生素数对: (用时112.1172秒）
/61/191/293/313/443p=41
/67/197/311/331/461p=47
/103/233/419/439/569p=83
/1033/1163/3209/3229/3359p=1013
/1657/1787/5081/5101/5231p=1637
/2287/2417/6971/6991/7121p=2267
/4513/4643/13649/13669/13799p=4493
/5521/5651/16673/16693/16823p=5501
/5737/5867/17321/17341/17471p=5717
/8839/8969/26627/26647/26777p=8819
/9181/9311/27653/27673/27803p=9161
/10651/10781/32063/32083/32213p=10631
/19597/19727/58901/58921/59051p=19577
/23623/23753/70979/70999/71129p=23603
/30139/30269/90527/90547/90677p=30119
/39841/39971/119633/119653/119783p=39821
/45007/45137/135131/135151/135281p=44987
/47017/47147/141161/141181/141311p=46997
/54121/54251/162473/162493/162623p=54101
/55837/55967/167621/167641/167771p=55817
/60037/60167/180221/180241/180371p=60017
/60793/60923/182489/182509/182639p=60773
/69493/69623/208589/208609/208739p=69473
/71257/71387/213881/213901/214031p=71237
/75037/75167/225221/225241/225371p=75017
/83137/83267/249521/249541/249671p=83117
/87427/87557/262391/262411/262541p=87407
/89107/89237/267431/267451/267581p=89087
/89653/89783/269069/269089/269219p=89633
/103087/103217/309371/309391/309521p=103067
/105361/105491/316193/316213/316343p=105341
/109387/109517/328271/328291/328421p=109367
/128959/129089/386987/387007/387137p=128939
/129757/129887/389381/389401/389531p=129737
/131731/131861/395303/395323/395453p=131711
/143113/143243/429449/429469/429599p=143093
/162229/162359/486797/486817/486947p=162209
/171049/171179/513257/513277/513407p=171029
/180667/180797/542111/542131/542261p=180647
/192133/192263/576509/576529/576659p=192113
/249253/249383/747869/747889/748019p=249233
/252193/252323/756689/756709/756839p=252173
/280243/280373/840839/840859/840989p=280223
/287257/287387/861881/861901/862031p=287237
/353833/353963/1061609/1061629/1061759p=353813
/366307/366437/1099031/1099051/1099181p=366287
/385837/385967/1157621/1157641/1157771p=385817
/403849/403979/1211657/1211677/1211807p=403829
/415447/415577/1246451/1246471/1246601p=415427
/430819/430949/1292567/1292587/1292717p=430799
/434803/434933/1304519/1304539/1304669p=434783
/467899/468029/1403807/1403827/1403957p=467879
/474499/474629/1423607/1423627/1423757p=474479
/516457/516587/1549481/1549501/1549631p=516437
/590833/590963/1772609/1772629/1772759p=590813
/681427/681557/2044391/2044411/2044541p=681407
/683323/683453/2050079/2050099/2050229p=683303
/701377/701507/2104241/2104261/2104391p=701357
/744811/744941/2234543/2234563/2234693p=744791
/750223/750353/2250779/2250799/2250929p=750203
/751237/751367/2253821/2253841/2253971p=751217
/752701/752831/2258213/2258233/2258363p=752681
/790291/790421/2370983/2371003/2371133p=790271
/822763/822893/2468399/2468419/2468549p=822743
/861901/862031/2585813/2585833/2585963p=861881
/867151/867281/2601563/2601583/2601713p=867131
/916339/916469/2749127/2749147/2749277p=916319
/940573/940703/2821829/2821849/2821979p=940553
/941119/941249/2823467/2823487/2823617p=941099

蔡家雄

ysr 发表于 2021-8-3 22:17
1与1000000之间的素数打头有69组6生素数对: (用时112.1172秒）
/61/191/293/313/443p=41
/67/197/311/3 ...

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=43，( p, p+30, p+250 ) 与 ( 3p+280, 3p+310, 3p+530 )

———  p <= 10^6，有几组解 ？？？

ysr

蔡家雄 发表于 2021-8-3 14:23
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59组6生素数对: (用时139.6406秒）
/73/293/409/439/659p=43
/127/347/571/601/821p=97
/337/557/1201/1231/1451p=307
/2467/2687/7591/7621/7841p=2437
/3643/3863/11119/11149/11369p=3613
/15919/16139/47947/47977/48197p=15889
/17167/17387/51691/51721/51941p=17137
/18397/18617/55381/55411/55631p=18367
/20959/21179/63067/63097/63317p=20929
/24151/24371/72643/72673/72893p=24121
/43093/43313/129469/129499/129719p=43063
/55609/55829/167017/167047/167267p=55579
/56731/56951/170383/170413/170633p=56701
/59473/59693/178609/178639/178859p=59443
/75337/75557/226201/226231/226451p=75307
/85009/85229/255217/255247/255467p=84979
/93901/94121/281893/281923/282143p=93871
/105997/106217/318181/318211/318431p=105967
/119563/119783/358879/358909/359129p=119533
/124699/124919/374287/374317/374537p=124669
/133183/133403/399739/399769/399989p=133153
/144481/144701/433633/433663/433883p=144451
/149551/149771/448843/448873/449093p=149521
/168631/168851/506083/506113/506333p=168601
/172663/172883/518179/518209/518429p=172633
/181903/182123/545899/545929/546149p=181873
/197023/197243/591259/591289/591509p=196993
/225781/226001/677533/677563/677783p=225751
/231589/231809/694957/694987/695207p=231559
/249217/249437/747841/747871/748091p=249187
/254929/255149/764977/765007/765227p=254899
/268297/268517/805081/805111/805331p=268267
/276949/277169/831037/831067/831287p=276919
/281557/281777/844861/844891/845111p=281527
/294241/294461/882913/882943/883163p=294211
/300961/301181/903073/903103/903323p=300931
/346657/346877/1040161/1040191/1040411p=346627
/354469/354689/1063597/1063627/1063847p=354439
/385171/385391/1155703/1155733/1155953p=385141
/426091/426311/1278463/1278493/1278713p=426061
/430921/431141/1292953/1292983/1293203p=430891
/458599/458819/1375987/1376017/1376237p=458569
/470179/470399/1410727/1410757/1410977p=470149
/479221/479441/1437853/1437883/1438103p=479191
/506773/506993/1520509/1520539/1520759p=506743
/507697/507917/1523281/1523311/1523531p=507667
/520411/520631/1561423/1561453/1561673p=520381
/524287/524507/1573051/1573081/1573301p=524257
/542713/542933/1628329/1628359/1628579p=542683
/575821/576041/1727653/1727683/1727903p=575791
/581983/582203/1746139/1746169/1746389p=581953
/617107/617327/1851511/1851541/1851761p=617077
/673429/673649/2020477/2020507/2020727p=673399
/750163/750383/2250679/2250709/2250929p=750133
/793621/793841/2381053/2381083/2381303p=793591
/898549/898769/2695837/2695867/2696087p=898519
/936181/936401/2808733/2808763/2808983p=936151
/971419/971639/2914447/2914477/2914697p=971389
/986287/986507/2959051/2959081/2959301p=986257

蔡家雄

ysr 发表于 2021-8-3 22:28
1与1000000之间的素数打头有59组6生素数对: (用时139.6406秒）
/73/293/409/439/659p=43
/127/347/571/ ...

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=47，( p, p+80, p+270 ) 与 ( 3p+350, 3p+430, 3p+620 )

———  p <= 10^6，有几组解 ？？？

ysr

蔡家雄 发表于 2021-8-3 14:35
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47组6生素数对: (用时115.841秒）
/127/317/491/571/761p=47
/211/401/743/823/1013p=131
/313/503/1049/1129/1319p=233
/397/587/1301/1381/1571p=317
/1093/1283/3389/3469/3659p=1013
/1303/1493/4019/4099/4289p=1223
/1531/1721/4703/4783/4973p=1451
/4999/5189/15107/15187/15377p=4919
/6007/6197/18131/18211/18401p=5927
/12619/12809/37967/38047/38237p=12539
/18541/18731/55733/55813/56003p=18461
/19507/19697/58631/58711/58901p=19427
/31477/31667/94541/94621/94811p=31397
/33937/34127/101921/102001/102191p=33857
/46933/47123/140909/140989/141179p=46853
/48571/48761/145823/145903/146093p=48491
/76963/77153/230999/231079/231269p=76883
/79777/79967/239441/239521/239711p=79697
/172597/172787/517901/517981/518171p=172517
/175309/175499/526037/526117/526307p=175229
/193261/193451/579893/579973/580163p=193181
/211741/211931/635333/635413/635603p=211661
/233689/233879/701177/701257/701447p=233609
/242887/243077/728771/728851/729041p=242807
/279847/280037/839651/839731/839921p=279767
/284233/284423/852809/852889/853079p=284153
/300823/301013/902579/902659/902849p=300743
/373903/374093/1121819/1121899/1122089p=373823
/379513/379703/1138649/1138729/1138919p=379433
/387721/387911/1163273/1163353/1163543p=387641
/451771/451961/1355423/1355503/1355693p=451691
/505573/505763/1516829/1516909/1517099p=505493
/518509/518699/1555637/1555717/1555907p=518429
/588649/588839/1766057/1766137/1766327p=588569
/597679/597869/1793147/1793227/1793417p=597599
/614143/614333/1842539/1842619/1842809p=614063
/620317/620507/1861061/1861141/1861331p=620237
/660409/660599/1981337/1981417/1981607p=660329
/693337/693527/2080121/2080201/2080391p=693257
/719713/719903/2159249/2159329/2159519p=719633
/773659/773849/2321087/2321167/2321357p=773579
/815491/815681/2446583/2446663/2446853p=815411
/888637/888827/2666021/2666101/2666291p=888557
/895879/896069/2687747/2687827/2688017p=895799
/919693/919883/2759189/2759269/2759459p=919613
/971251/971441/2913863/2913943/2914133p=971171
/979189/979379/2937677/2937757/2937947p=979109

蔡家雄

ysr 发表于 2021-8-4 00:04
1与1000000之间的素数打头有47组6生素数对: (用时115.841秒）
/127/317/491/571/761p=47
/211/401/743/ ...

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=53，( p, p+30, p+620 ) 与 ( 3p+650, 3p+680, 3p+1270 )

———  p <= 10^6，有几组解 ？？？

蔡家雄

同一个n值，

使 n(n+1) -1 与 n(n+1)+1 均为孪生素数的前100个解，，

蔡家雄

同一个n值，

使 n(n+1)(n+2) -1 与 n(n+1)(n+2)+1 均为孪生素数的前100个解，，，