判定梅森质数的卢卡斯序列

ysr

蔡家雄 发表于 2021-8-2 05:49
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36组6生素数对: (用时51.90234秒）
/23/43/79/89/109p=13
/359/379/1087/1097/1117p=349
/1439/1459/4327/4337/4357p=1429
/11447/11467/34351/34361/34381p=11437
/27407/27427/82231/82241/82261p=27397
/29201/29221/87613/87623/87643p=29191
/57173/57193/171529/171539/171559p=57163
/57467/57487/172411/172421/172441p=57457
/58109/58129/174337/174347/174367p=58099
/71171/71191/213523/213533/213553p=71161
/78059/78079/234187/234197/234217p=78049
/161387/161407/484171/484181/484201p=161377
/172223/172243/516679/516689/516709p=172213
/207491/207511/622483/622493/622513p=207481
/213329/213349/639997/640007/640027p=213319
/243623/243643/730879/730889/730909p=243613
/250037/250057/750121/750131/750151p=250027
/252233/252253/756709/756719/756739p=252223
/253661/253681/760993/761003/761023p=253651
/267521/267541/802573/802583/802603p=267511
/272267/272287/816811/816821/816841p=272257
/298631/298651/895903/895913/895933p=298621
/301247/301267/903751/903761/903781p=301237
/302297/302317/906901/906911/906931p=302287
/412619/412639/1237867/1237877/1237897p=412609
/476039/476059/1428127/1428137/1428157p=476029
/499601/499621/1498813/1498823/1498843p=499591
/551723/551743/1655179/1655189/1655209p=551713
/586919/586939/1760767/1760777/1760797p=586909
/629003/629023/1887019/1887029/1887049p=628993
/695069/695089/2085217/2085227/2085247p=695059
/777431/777451/2332303/2332313/2332333p=777421
/796541/796561/2389633/2389643/2389663p=796531
/811757/811777/2435281/2435291/2435311p=811747
/906497/906517/2719501/2719511/2719531p=906487
/982067/982087/2946211/2946221/2946241p=982057

蔡家雄

ysr 发表于 2021-7-27 17:27
p~p+19！确实有解找到一个：
1030000与1040000之间的素数打头有1组8生素数对: (用时959.1289秒）
/103400 ...

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=17，( p, p+150, p+560 ) 与 ( 3p+710, 3p+860, 3p+1270 )

———   p <= 10^6，有几组解 ？？？

ysr

蔡家雄 发表于 2021-8-2 08:43
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63组6生素数对: (用时50.38281秒）
/167/577/761/911/1321p=17
/347/757/1301/1451/1861p=197
/2609/3019/8087/8237/8647p=2459
/4547/4957/13901/14051/14461p=4397
/5039/5449/15377/15527/15937p=4889
/5171/5581/15773/15923/16333p=5021
/7151/7561/21713/21863/22273p=7001
/11177/11587/33791/33941/34351p=11027
/13103/13513/39569/39719/40129p=12953
/15413/15823/46499/46649/47059p=15263
/15923/16333/48029/48179/48589p=15773
/25457/25867/76631/76781/77191p=25307
/52967/53377/159161/159311/159721p=52817
/56783/57193/170609/170759/171169p=56633
/63179/63589/189797/189947/190357p=63029
/102149/102559/306707/306857/307267p=101999
/104297/104707/313151/313301/313711p=104147
/121553/121963/364919/365069/365479p=121403
/122147/122557/366701/366851/367261p=121997
/146117/146527/438611/438761/439171p=145967
/152213/152623/456899/457049/457459p=152063
/157427/157837/472541/472691/473101p=157277
/160403/160813/481469/481619/482029p=160253
/162119/162529/486617/486767/487177p=161969
/175781/176191/527603/527753/528163p=175631
/180437/180847/541571/541721/542131p=180287
/185693/186103/557339/557489/557899p=185543
/190763/191173/572549/572699/573109p=190613
/196901/197311/590963/591113/591523p=196751
/203921/204331/612023/612173/612583p=203771
/224327/224737/673241/673391/673801p=224177
/230969/231379/693167/693317/693727p=230819
/234863/235273/704849/704999/705409p=234713
/277157/277567/831731/831881/832291p=277007
/285221/285631/855923/856073/856483p=285071
/286697/287107/860351/860501/860911p=286547
/288833/289243/866759/866909/867319p=288683
/288839/289249/866777/866927/867337p=288689
/300647/301057/902201/902351/902761p=300497
/321017/321427/963311/963461/963871p=320867
/345413/345823/1036499/1036649/1037059p=345263
/361241/361651/1083983/1084133/1084543p=361091
/414461/414871/1243643/1243793/1244203p=414311
/414539/414949/1243877/1244027/1244437p=414389
/431597/432007/1295051/1295201/1295611p=431447
/435131/435541/1305653/1305803/1306213p=434981
/474137/474547/1422671/1422821/1423231p=473987
/502409/502819/1507487/1507637/1508047p=502259
/502451/502861/1507613/1507763/1508173p=502301
/519509/519919/1558787/1558937/1559347p=519359
/541589/541999/1625027/1625177/1625587p=541439
/566537/566947/1699871/1700021/1700431p=566387
/626861/627271/1880843/1880993/1881403p=626711
/632273/632683/1897079/1897229/1897639p=632123
/636719/637129/1910417/1910567/1910977p=636569
/646421/646831/1939523/1939673/1940083p=646271
/704897/705307/2114951/2115101/2115511p=704747
/740171/740581/2220773/2220923/2221333p=740021
/809507/809917/2428781/2428931/2429341p=809357
/813419/813829/2440517/2440667/2441077p=813269
/865409/865819/2596487/2596637/2597047p=865259
/927317/927727/2782211/2782361/2782771p=927167
/986339/986749/2959277/2959427/2959837p=986189

蔡家雄

ysr 发表于 2021-7-27 17:27
p~p+19！确实有解找到一个：
1030000与1040000之间的素数打头有1组8生素数对: (用时959.1289秒）
/103400 ...

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=19，( p, p+40, p+180 ) 与 ( 3p+220, 3p+260, 3p+400 )

———   p <= 10^6，有几组解 ？？？

ysr

蔡家雄 发表于 2021-8-2 12:37
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87组6生素数对: (用时51.23438秒）
/59/199/277/317/457p=19
/269/409/907/947/1087p=229
/317/457/1051/1091/1231p=277
/461/601/1483/1523/1663p=421
/2039/2179/6217/6257/6397p=1999
/4091/4231/12373/12413/12553p=4051
/8861/9001/26683/26723/26863p=8821
/9281/9421/27943/27983/28123p=9241
/9689/9829/29167/29207/29347p=9649
/10313/10453/31039/31079/31219p=10273
/10691/10831/32173/32213/32353p=10651
/11159/11299/33577/33617/33757p=11119
/15773/15913/47419/47459/47599p=15733
/25097/25237/75391/75431/75571p=25057
/26903/27043/80809/80849/80989p=26863
/27779/27919/83437/83477/83617p=27739
/28703/28843/86209/86249/86389p=28663
/30557/30697/91771/91811/91951p=30517
/39839/39979/119617/119657/119797p=39799
/50543/50683/151729/151769/151909p=50503
/51869/52009/155707/155747/155887p=51829
/53279/53419/159937/159977/160117p=53239
/55439/55579/166417/166457/166597p=55399
/60077/60217/180331/180371/180511p=60037
/79397/79537/238291/238331/238471p=79357
/90107/90247/270421/270461/270601p=90067
/93827/93967/281581/281621/281761p=93787
/122363/122503/367189/367229/367369p=122323
/138197/138337/414691/414731/414871p=138157
/166601/166741/499903/499943/500083p=166561
/166643/166783/500029/500069/500209p=166603
/187433/187573/562399/562439/562579p=187393
/205463/205603/616489/616529/616669p=205423
/231503/231643/694609/694649/694789p=231463
/237203/237343/711709/711749/711889p=237163
/245981/246121/738043/738083/738223p=245941
/259577/259717/778831/778871/779011p=259537
/266129/266269/798487/798527/798667p=266089
/274283/274423/822949/822989/823129p=274243
/280769/280909/842407/842447/842587p=280729
/284591/284731/853873/853913/854053p=284551
/289463/289603/868489/868529/868669p=289423
/290663/290803/872089/872129/872269p=290623
/321611/321751/964933/964973/965113p=321571
/338423/338563/1015369/1015409/1015549p=338383
/347003/347143/1041109/1041149/1041289p=346963
/352907/353047/1058821/1058861/1059001p=352867
/380417/380557/1141351/1141391/1141531p=380377
/380879/381019/1142737/1142777/1142917p=380839
/393557/393697/1180771/1180811/1180951p=393517
/394367/394507/1183201/1183241/1183381p=394327
/406037/406177/1218211/1218251/1218391p=405997
/425189/425329/1275667/1275707/1275847p=425149
/431903/432043/1295809/1295849/1295989p=431863
/453239/453379/1359817/1359857/1359997p=453199
/455849/455989/1367647/1367687/1367827p=455809
/459467/459607/1378501/1378541/1378681p=459427
/502631/502771/1507993/1508033/1508173p=502591
/504983/505123/1515049/1515089/1515229p=504943
/507797/507937/1523491/1523531/1523671p=507757
/510569/510709/1531807/1531847/1531987p=510529
/537029/537169/1611187/1611227/1611367p=536989
/554129/554269/1662487/1662527/1662667p=554089
/585077/585217/1755331/1755371/1755511p=585037
/593183/593323/1779649/1779689/1779829p=593143
/605369/605509/1816207/1816247/1816387p=605329
/608471/608611/1825513/1825553/1825693p=608431
/616367/616507/1849201/1849241/1849381p=616327
/635777/635917/1907431/1907471/1907611p=635737
/673469/673609/2020507/2020547/2020687p=673429
/692327/692467/2077081/2077121/2077261p=692287
/742409/742549/2227327/2227367/2227507p=742369
/754043/754183/2262229/2262269/2262409p=754003
/796571/796711/2389813/2389853/2389993p=796531
/805073/805213/2415319/2415359/2415499p=805033
/815291/815431/2445973/2446013/2446153p=815251
/824861/825001/2474683/2474723/2474863p=824821
/829097/829237/2487391/2487431/2487571p=829057
/842627/842767/2527981/2528021/2528161p=842587
/851153/851293/2553559/2553599/2553739p=851113
/864551/864691/2593753/2593793/2593933p=864511
/890927/891067/2672881/2672921/2673061p=890887
/904721/904861/2714263/2714303/2714443p=904681
/949427/949567/2848381/2848421/2848561p=949387
/956003/956143/2868109/2868149/2868289p=955963
/983597/983737/2950891/2950931/2951071p=983557
/991493/991633/2974579/2974619/2974759p=991453

蔡家雄

ysr 发表于 2021-7-27 17:27
p~p+19！确实有解找到一个：
1030000与1040000之间的素数打头有1组8生素数对: (用时959.1289秒）
/103400 ...

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=23，(  p, p+20, p+90 ) 与 ( 3p+110, 3p+130, 3p+200 )

———   p <= 10^6，有几组解 ？？？

ysr

蔡家雄 发表于 2021-8-2 15:56
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95组6生素数对: (用时51.68701秒）
/43/113/179/199/269p=23
/103/173/359/379/449p=83
/409/479/1277/1297/1367p=389
/487/557/1511/1531/1601p=467
/739/809/2267/2287/2357p=719
/883/953/2699/2719/2789p=863
/1039/1109/3167/3187/3257p=1019
/1531/1601/4643/4663/4733p=1511
/1627/1697/4931/4951/5021p=1607
/1933/2003/5849/5869/5939p=1913
/2551/2621/7703/7723/7793p=2531
/2749/2819/8297/8317/8387p=2729
/3343/3413/10079/10099/10169p=3323
/3391/3461/10223/10243/10313p=3371
/3547/3617/10691/10711/10781p=3527
/5437/5507/16361/16381/16451p=5417
/6151/6221/18503/18523/18593p=6131
/7477/7547/22481/22501/22571p=7457
/9871/9941/29663/29683/29753p=9851
/10267/10337/30851/30871/30941p=10247
/10729/10799/32237/32257/32327p=10709
/15817/15887/47501/47521/47591p=15797
/17137/17207/51461/51481/51551p=17117
/19681/19751/59093/59113/59183p=19661
/23209/23279/69677/69697/69767p=23189
/31267/31337/93851/93871/93941p=31247
/36013/36083/108089/108109/108179p=35993
/36943/37013/110879/110899/110969p=36923
/37243/37313/111779/111799/111869p=37223
/40213/40283/120689/120709/120779p=40193
/40507/40577/121571/121591/121661p=40487
/44983/45053/134999/135019/135089p=44963
/56929/56999/170837/170857/170927p=56909
/61603/61673/184859/184879/184949p=61583
/62347/62417/187091/187111/187181p=62327
/72973/73043/218969/218989/219059p=72953
/80071/80141/240263/240283/240353p=80051
/87931/88001/263843/263863/263933p=87911
/94273/94343/282869/282889/282959p=94253
/98227/98297/294731/294751/294821p=98207
/98893/98963/296729/296749/296819p=98873
/100957/101027/302921/302941/303011p=100937
/109849/109919/329597/329617/329687p=109829
/150517/150587/451601/451621/451691p=150497
/154087/154157/462311/462331/462401p=154067
/160093/160163/480329/480349/480419p=160073
/170857/170927/512621/512641/512711p=170837
/193957/194027/581921/581941/582011p=193937
/201139/201209/603467/603487/603557p=201119
/260419/260489/781307/781327/781397p=260399
/268063/268133/804239/804259/804329p=268043
/282847/282917/848591/848611/848681p=282827
/298621/298691/895913/895933/896003p=298601
/338341/338411/1015073/1015093/1015163p=338321
/351727/351797/1055231/1055251/1055321p=351707
/364873/364943/1094669/1094689/1094759p=364853
/385129/385199/1155437/1155457/1155527p=385109
/392857/392927/1178621/1178641/1178711p=392837
/398989/399059/1197017/1197037/1197107p=398969
/404527/404597/1213631/1213651/1213721p=404507
/406579/406649/1219787/1219807/1219877p=406559
/414433/414503/1243349/1243369/1243439p=414413
/448627/448697/1345931/1345951/1346021p=448607
/456811/456881/1370483/1370503/1370573p=456791
/473527/473597/1420631/1420651/1420721p=473507
/478189/478259/1434617/1434637/1434707p=478169
/481087/481157/1443311/1443331/1443401p=481067
/510157/510227/1530521/1530541/1530611p=510137
/526069/526139/1578257/1578277/1578347p=526049
/552511/552581/1657583/1657603/1657673p=552491
/556861/556931/1670633/1670653/1670723p=556841
/559297/559367/1677941/1677961/1678031p=559277
/565381/565451/1696193/1696213/1696283p=565361
/596593/596663/1789829/1789849/1789919p=596573
/621799/621869/1865447/1865467/1865537p=621779
/681427/681497/2044331/2044351/2044421p=681407
/708061/708131/2124233/2124253/2124323p=708041
/713287/713357/2139911/2139931/2140001p=713267
/722341/722411/2167073/2167093/2167163p=722321
/735193/735263/2205629/2205649/2205719p=735173
/742057/742127/2226221/2226241/2226311p=742037
/756463/756533/2269439/2269459/2269529p=756443
/756703/756773/2270159/2270179/2270249p=756683
/758383/758453/2275199/2275219/2275289p=758363
/765313/765383/2295989/2296009/2296079p=765293
/800923/800993/2402819/2402839/2402909p=800903
/816841/816911/2450573/2450593/2450663p=816821
/818359/818429/2455127/2455147/2455217p=818339
/852031/852101/2556143/2556163/2556233p=852011
/858841/858911/2576573/2576593/2576663p=858821
/875263/875333/2625839/2625859/2625929p=875243
/906949/907019/2720897/2720917/2720987p=906929
/986749/986819/2960297/2960317/2960387p=986729
/989251/989321/2967803/2967823/2967893p=989231
/996187/996257/2988611/2988631/2988701p=996167

蔡家雄

ysr 发表于 2021-7-27 17:27
p~p+19！确实有解找到一个：
1030000与1040000之间的素数打头有1组8生素数对: (用时959.1289秒）
/103400 ...

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=23，(  p, p+30, p+260 ) 与 ( 3p+290, 3p+320, 3p+550 )

———   p <= 10^6，有几组解 ？？？

ysr

蔡家雄 发表于 2021-8-2 22:13
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58组6生素数对: (用时51.625秒）
/53/283/359/389/619p=23
/83/313/449/479/709p=53
/431/661/1493/1523/1753p=401
/1217/1447/3851/3881/4111p=1187
/3947/4177/12041/12071/12301p=3917
/4967/5197/15101/15131/15361p=4937
/8861/9091/26783/26813/27043p=8831
/11549/11779/34847/34877/35107p=11519
/14783/15013/44549/44579/44809p=14753
/15803/16033/47609/47639/47869p=15773
/17189/17419/51767/51797/52027p=17159
/22511/22741/67733/67763/67993p=22481
/22973/23203/69119/69149/69379p=22943
/50441/50671/151523/151553/151783p=50411
/60029/60259/180287/180317/180547p=59999
/65027/65257/195281/195311/195541p=64997
/75557/75787/226871/226901/227131p=75527
/77291/77521/232073/232103/232333p=77261
/82793/83023/248579/248609/248839p=82763
/96263/96493/288989/289019/289249p=96233
/123983/124213/372149/372179/372409p=123953
/130253/130483/390959/390989/391219p=130223
/143513/143743/430739/430769/430999p=143483
/156671/156901/470213/470243/470473p=156641
/162593/162823/487979/488009/488239p=162563
/164147/164377/492641/492671/492901p=164117
/179603/179833/539009/539039/539269p=179573
/189977/190207/570131/570161/570391p=189947
/193367/193597/580301/580331/580561p=193337
/202061/202291/606383/606413/606643p=202031
/226937/227167/681011/681041/681271p=226907
/267959/268189/804077/804107/804337p=267929
/275489/275719/826667/826697/826927p=275459
/322097/322327/966491/966521/966751p=322067
/338183/338413/1014749/1014779/1015009p=338153
/351287/351517/1054061/1054091/1054321p=351257
/356999/357229/1071197/1071227/1071457p=356969
/357389/357619/1072367/1072397/1072627p=357359
/419087/419317/1257461/1257491/1257721p=419057
/421049/421279/1263347/1263377/1263607p=421019
/436127/436357/1308581/1308611/1308841p=436097
/470651/470881/1412153/1412183/1412413p=470621
/478769/478999/1436507/1436537/1436767p=478739
/516053/516283/1548359/1548389/1548619p=516023
/520379/520609/1561337/1561367/1561597p=520349
/529127/529357/1587581/1587611/1587841p=529097
/565919/566149/1697957/1697987/1698217p=565889
/567209/567439/1701827/1701857/1702087p=567179
/604379/604609/1813337/1813367/1813597p=604349
/739631/739861/2219093/2219123/2219353p=739601
/746183/746413/2238749/2238779/2239009p=746153
/831683/831913/2495249/2495279/2495509p=831653
/842981/843211/2529143/2529173/2529403p=842951
/845261/845491/2535983/2536013/2536243p=845231
/863309/863539/2590127/2590157/2590387p=863279
/922667/922897/2768201/2768231/2768461p=922637
/945881/946111/2837843/2837873/2838103p=945851
/995957/996187/2988071/2988101/2988331p=995927

蔡家雄

ysr 发表于 2021-8-3 12:49
1与1000000之间的素数打头有58组6生素数对: (用时51.625秒）
/53/283/359/389/619p=23
/83/313/449/479 ...

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+80 ) 与 ( 3p+110, 3p+140, 3p+190 )

———  p <= 10^6，有几组解 ？？？