79w1 = { 71, 791, 7991, 79991, 799991, 7999991, 79999991, 799999991, 7999999991, 79999999991, … }
8×101-9 = 71 =
definitely prime number 素数
8×105-9 = 799991 =
definitely prime number 素数
8×108-9 = 799999991 = 7 × 17 × 6722689
8×109-9 = 7999999991
<10> = 41 × 195121951
8×1010-9 = 79999999991
<11> = 31 × 2580645161
<10>
8×1011-9 = 799999999991
<12> =
definitely prime number 素数
8×1012-9 = 7999999999991
<13> =
definitely prime number 素数
8×1013-9 = 79999999999991
<14> = 19 × 4289 × 981703501
8×1014-9 = 799999999999991
<15> = 7 × 41 × 263 × 311 × 34079401
8×1015-9 = 7999999999999991
<16> = 1675799 × 4773842209
<10>
8×1016-9 = 79999999999999991
<17> = 23 × 2287 × 124897 × 12177103
8×1017-9 = 799999999999999991
<18> =
definitely prime number 素数
8×1018-9 = 7999999999999999991
<19> = 1097 × 7292616226071103
<16>
8×1019-9 = 79999999999999999991
<20> = 41 × 1669 × 1169094974352979
<16>
8×1020-9 = 799999999999999999991
<21> = 7
2 × 21503 × 759267572536153
<15>
8×1021-9 = 7999999999999999999991
<22> = 29 × 3659 × 5851 × 45949 × 280429319
8×1022-9 = 79999999999999999999991
<23> = 631 × 761 × 5643857 × 29518886393
<11>
8×1023-9 = 799999999999999999999991
<24> = 89
2 × 1449911 × 69657619550161
<14>
8×1024-9 = 7999999999999999999999991
<25> = 17 × 41 × 4793 × 2394692642695992871
<19>
8×1025-9 = 79999999999999999999999991
<26> = 31 × 281 × 5279 × 9539 × 182375906036101
<15>
8×1026-9 = 799999999999999999999999991
<27> = 7 × 103 × 401 × 647 × 6143 × 696186429775951
<15>
8×1027-9 = 7999999999999999999999999991
<28> = 149 × 934484521 × 57455499755447779
<17>
8×1028-9 = 79999999999999999999999999991
<29> =
definitely prime number 素数
8×1029-9 = 799999999999999999999999999991
<30> = 41 × 19512195121951219512195121951
<29>
8×1030-9 = 7999999999999999999999999999991
<31> = 167 × 47904191616766467065868263473
<29>
8×1031-9 = 79999999999999999999999999999991
<32> = 19 × 359 × 811 × 14461757779657404573639361
<26>
8×1032-9 = 799999999999999999999999999999991
<33> = 7 × 750784839958567
<15> × 152221659526344839
<18>
8×1033-9 = 7999999999999999999999999999999991
<34> = 26821 × 10457101841
<11> × 28523557029547616731
<20>
8×1034-9 = 79999999999999999999999999999999991
<35> = 41 × 97 × 20115665074176514961025898918783
<32>
8×1035-9 = 799999999999999999999999999999999991
<36> = 67880932826929
<14> × 11785341872653708269479
<23>
8×1036-9 = 7999999999999999999999999999999999991
<37> = 71 × 151 × 746199048596213039828374218822871
<33>
8×1037-9 = 79999999999999999999999999999999999991
<38> = 2239 × 35730236712818222420723537293434569
<35>
8×1038-9 = 799999999999999999999999999999999999991
<39> = 7 × 23 × 47 × 594023 × 177976635383481354116836429951
<30>
8×1039-9 = 7999999999999999999999999999999999999991
<40> = 41 × 419 × 547529 × 850520881595797450276840512301
<30>
8×1040-9 = 79999999999999999999999999999999999999991
<41> = 17 × 31 × 190529 × 11358097 × 11009437207
<11> × 6371586620636063
<16>
8×1041-9 = 799999999999999999999999999999999999999991
<42> = 27249245278861
<14> × 35397567456959
<14> × 829396294603309
<15>
8×1042-9 = 7999999999999999999999999999999999999999991
<43> = 62355420289
<11> × 128296785795400446426778473830519
<33>
8×1043-9 = 79999999999999999999999999999999999999999991
<44> = 27479 × 2911314094399359510899232140907602168929
<40>
8×1044-9 = 799999999999999999999999999999999999999999991
<45> = 7 × 41 × 117161489 × 23791575796659867978333882574698137
<35>
8×1045-9 = 7999999999999999999999999999999999999999999991
<46> = 8831 × 246941 × 5574659 × 47097319 × 13972444945424990795401
<23>
8×1046-9 = 79999999999999999999999999999999999999999999991
<47> =
definitely prime number 素数
8×1047-9 = 799999999999999999999999999999999999999999999991
<48> = 59 × 5801 × 1112821 × 405526799 × 844624751 × 6132342937092969881
<19>
8×1048-9 = 7999999999999999999999999999999999999999999999991
<49> =
definitely prime number 素数
8×1049-9 = 79999999999999999999999999999999999999999999999991
<50> = 19 × 29 × 41 × 34428131 × 30558252794071
<14> × 3365988015361238290310101
<25>
8×1050-9 = 799999999999999999999999999999999999999999999999991
<51> = 7 × 233 × 97241 × 2658539176833697
<16> × 1897332932889844300996750193
<28>
8×1051-9 = 7
(9
)501
<52> = 48221 × 26677546787920154045429
<23> × 6218818534577130616030199
<25>
8×1052-9 = 7
(9
)511
<53> = 337 × 203969 × 2289289183
<10> × 3178323848335799
<16> × 159954740879521114991
<21>
8×1053-9 = 7
(9
)521
<54> = 281 × 6011 × 8437955501
<10> × 321736062761
<12> × 174461645974232174414899241
<27>
8×1054-9 = 7
(9
)531
<55> = 41 × 439 × 370009 × 4083097 × 124387346130881
<15> × 2365175778566451733599593
<25>
8×1055-9 = 7
(9
)541
<56> = 31 × 463181 × 1285396974161
<13> × 1013264190720409
<16> × 4277771563314497600069
<22>
8×1056-9 = 7
(9
)551
<57> = 7 × 17 × 123669018721
<12> × 54360333292502183505219244380113912722610209
<44>
8×1057-9 = 7
(9
)561
<58> = 911101 × 551882813827062449307119
<24> × 15910234977365532901871647789
<29>
8×1058-9 = 7
(9
)571
<59> = 333730871 × 1565783633701658213991193
<25> × 153095299166497563176949097
<27>
8×1059-9 = 7
(9
)581
<60> = 41 × 4651 × 59281 × 216829 × 326382528666337693827299007147935099725975249
<45>
8×1060-9 = 7
(9
)591
<61> = 23 × 103 × 70777087 × 163759903 × 4035985489551607103
<19> × 72189672813064424616233
<23>
8×1061-9 = 7
(9
)601
<62> =
definitely prime number 素数
8×1062-9 = 7
(9
)611
<63> = 7
3 × 199 × 11989727 × 971207539674582700991
<21> × 1006517779281554641726959085559
<31>
8×1063-9 = 7
(9
)621
<64> = 61 × 179 × 661 × 1871760833268196608149
<22> × 592182141415822078693178687948812601
<36>
8×1064-9 = 7
(9
)631
<65> = 41 × 20919785872470060025360820966977
<32> × 93271485859847177417170026791263
<32> (Makoto Kamada / msieve 0.81 / 44 seconds)
8×1065-9 = 7
(9
)641
<66> = 66644880098786039
<17> × 12003922864204722219976697486636863671956327424769
<50>
8×1066-9 = 7
(9
)651
<67> = 33777704057965423
<17> × 236842622170865054103044684831127931485869669658617
<51>
8×1067-9 = 7
(9
)661
<68> = 19 × 89 × 727720664593370519
<18> × 65010225418715864344106284159765521018650193779
<47>
8×1068-9 = 7
(9
)671
<69> = 7 × 770690898889
<12> × 148289949252630878778974321104809666834951929676795041417
<57>
8×1069-9 = 7
(9
)681
<70> = 41 × 3259481 × 939902008319
<12> × 3608971856869
<13> × 290614655588953079
<18> × 60725918399552760659
<20>
8×1070-9 = 7
(9
)691
<71> = 31 × 1151 × 106024454208401
<15> × 21146910345096644999228598470944171893279394404875111
<53>
8×1071-9 = 7
(9
)701
<72> = 71 × 10729 × 3621851 × 28894794847199
<14> × 10035111396951100345999007745790481780041022101
<47>
8×1072-9 = 7
(9
)711
<73> = 17
2 × 391273 × 70747689975168179861003251590361642470234479157319312367473547903
<65>
8×1073-9 = 7
(9
)721
<74> =
definitely prime number 素数
8×1074-9 = 7
(9
)731
<75> = 7 × 41 × 26962625044119759366833
<23> × 103382235276863139833918318517928986627005732022521
<51>
8×1075-9 = 7
(9
)741
<76> = 6306961 × 563587711760553941
<18> × 2250651882793755714334856008817847409708892401539691
<52>
8×1076-9 = 7
(9
)751
<77> = 886868023 × 90205078912851952042925331630769598736564211426078218179256644593217
<68>
8×1077-9 = 7
(9
)761
<78> = 29 × 320941 × 1248721 × 68833740816123924171951117799540680787757002604451811504337865439
<65>
8×1078-9 = 7
(9
)771
<79> = 549874015052564724254396210642322507913
<39> × 14548787142151547233300156646070128174207
<41> (Makoto Kamada / GGNFS-0.70.1 / 0.06 hours)
8×1079-9 = 7
(9
)781
<80> = 41 × 3265631 × 27965002730233229
<17> × 144230033847648137089
<21> × 148138672560012127132811640310939141
<36>
8×1080-9 = 7
(9
)791
<81> = 7 × 152729 × 140451137 × 175680383 × 3516616465807
<13> × 137769557177099770217
<21> × 62595576288885612734971553
<26>
8×1081-9 = 7
(9
)801
<82> = 281 × 599 × 1879 × 2951188939
<10> × 8571030688695841716198860742889417003443178176564851093752902269
<64>
8×1082-9 = 7
(9
)811
<83> = 23 × 2729 × 21943 × 3705521 × 721209405157286611950819481
<27> × 21734615003010862251049972897803349868311
<41>
8×1083-9 = 7
(9
)821
<84> = 17479720834139
<14> × 106592318311181
<15> × 1518615850072269680457701
<25> × 282736357314082634224042281970549
<33>
8×1084-9 = 7
(9
)831
<85> = 41 × 47 × 743 × 7687 × 726879762394621211801391909089571161326438709545182340258424983318202584513
<75>
8×1085-9 = 7
(9
)841
<86> = 19 × 31 × 831191 × 9266189641
<10> × 5278434208099237339320904563821
<31> × 3340931437534264759700107191327783569
<37> (Makoto Kamada / msieve 0.81 / 1.3 minutes)
8×1086-9 = 7
(9
)851
<87> = 7 × 13371286561
<11> × 31383767836172558959
<20> × 272341401630430485534738797795860281929962816838801664287
<57>
8×1087-9 = 7
(9
)861
<88> = 320497711 × 620807981 × 1246611371500128661
<19> × 32253487377531502986851358726659894965202028002674441
<53>
8×1088-9 = 7
(9
)871
<89> = 17 × 3361 × 5209 × 114031 × 7176344935019271474213060241
<28> × 328467161637485477643402556200157335015038739937
<48>
8×1089-9 = 7
(9
)881
<90> = 41 × 131501 × 148380583584544752604125610841130578437593259515229504885523452385876319961213315451
<84>
8×1090-9 = 7
(9
)891
<91> = 191 × 396887 × 1566996511
<10> × 1829684258089
<13> × 36808283463413323401114896495621325375167752741758226649480537
<62>
8×1091-9 = 7
(9
)901
<92> = 5261 × 31189 × 51479210339
<11> × 14856858480653089
<17> × 637472378808260277486500944606583265307060061109032280749
<57>
8×1092-9 = 7
(9
)911
<93> = 7 × 1308863 × 1396657 × 62518419992876019825917869749138387550201480930570359069179266062109072179074143
<80>
8×1093-9 = 7
(9
)921
<94> = 40709 × 18874781380531563299
<20> × 1050305013776143544881251969047909
<34> × 9912933300716956352196073332931121989
<37> (Makoto Kamada / msieve 0.83)
8×1094-9 = 7
(9
)931
<95> = 41 × 103 × 109609 × 172831416755703831564705877752575524590824483351211195115269124861877722563349071196513
<87>
8×1095-9 = 7
(9
)941
<96> = 42839 × 5696681 × 71959379 × 10430065508761
<14> × 81962564607799
<14> × 53289148392320131181336208217453853689614795752029
<50>
8×1096-9 = 7
(9
)951
<97> = 3847 × 28727057 × 157923959 × 458383146858058083640569189274783699802299405974652739034285101997489595090631
<78>
8×1097-9 = 7
(9
)961
<98> = 181 × 441988950276243093922651933701657458563535911602209944751381215469613259668508287292817679558011
<96>
8×1098-9 = 7
(9
)971
<99> = 7 × 42473 × 1795039 × 288190519 × 5201462017139773407532948000368590335525019793021247677164543946625822841735041
<79>
8×1099-9 = 7
(9
)981
<100> = 41
2 × 252400679 × 357291259901
<12> × 52772705784956691325475970159058388447295718892389579642066632828255512523509
<77>
8×10100-9 = 7
(9
)991
<101> = 31 × 148513 × 12661801 × 199640305759
<12> × 6874167530995116418962276664987443820628599521956149749350162344306288430783
<76>
8×10101-9 = 7
(9
)1001
<102> = 109 ×
7339449541284403669724770642201834862385321100917431192660550458715596330275229357798165137614678899<100>
8×10102-9 = 7
(9
)1011
<103> = 49474853752019561
<17> × 161698305165246504829176369287613785871274807254827355179107196688724463197592027937631
<87>
8×10103-9 = 7
(9
)1021
<104> = 19 × 809 × 1081922211214987353245001119627142180481
<40> × 4810517819513914829026450136873524978585031656841214920313541
<61> (Makoto Kamada / GGNFS-0.77.1-20060722-pentium4 snfs / 0.68 hours on Pentium 4 3.06GHz, Windows XP and Cygwin /
January 12, 2008 2008 年 1 月 12 日)
8×10104-9 = 7
(9
)1031
<105> = 7
2 × 17 × 23 × 41 × 12339525360577763311
<20> × 82534369499492775539504164901993157698019211796802044264858135701867736475272599
<80>
8×10105-9 = 7
(9
)1041
<106> = 29 × 59 × 839 × 3833339 × 21150143453099
<14> × 35078619954211
<14> × 1959498667062999031926704741614139593738179779293723784466025712749
<67>
8×10106-9 = 7
(9
)1051
<107> = 71 × 14635097 × 2507524927653294391235106031
<28> × 30703704237119309157206525676455637656338375135978941052412088778620503
<71>
8×10107-9 = 7
(9
)1061
<108> = 19227376621
<11> × 253197206069634762046679
<24> × 164327801377612366280851970862226784680540787850498357916385079147268929349
<75>
8×10108-9 = 7
(9
)1071
<109> = 11897 × 6595030913
<10> × 74285794073
<11> × 10784808302586663079660355798191
<32> × 127267493166302734542256662357223329760676931011149417
<54> (Robert Backstrom / GMP-ECM 6.0.1 B1=894000, sigma=353689614 for P32 /
January 12, 2008 2008 年 1 月 12 日)
8×10109-9 = 7
(9
)1081
<110> = 41 × 281 × 3739 × 662762029 × 302221898661149
<15> × 9271730439680033210909506370965412733241317224833674180076775917438590150778909
<79>
8×10110-9 = 7
(9
)1091
<111> = 7 × 431 × 13855092257
<11> × 9998334610991140900879
<22> × 1914157140475983078381850722025574846690912817235800539519111123350958670641
<76>
8×10111-9 = 7
(9
)1101
<112> = 89 × 151 × 5879 × 183965453731
<12> × 14732146478761
<14> × 4596843431298289
<16> × 59666213875095059
<17> × 136216298961351150346613817476555834066220530671
<48>
8×10112-9 = 7
(9
)1111
<113> = 1481801 × 12879455609353
<14> × 100082971494652293793
<21> × 48579937690634404245880879
<26> × 862155200536747669407680255056557135875893230601
<48>
8×10113-9 = 7
(9
)1121
<114> = 60281424871
<11> × 390808792124933992905008532836460473489137122991
<48> × 33958003771356934218524016876132944905551552683170456031
<56> (Sinkiti Sibata / GGNFS-0.77.1-20060513-pentium4 snfs / 1.88 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
January 12, 2008 2008 年 1 月 12 日)
8×10114-9 = 7
(9
)1131
<115> = 41 × 113 × 1249 × 181457 × 8379447418092713
<16> × 106724771260208334463
<21> × 337024070459655651343248393473
<30> × 25278423742542254086178637648393531097
<38> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3473905617 for P30 /
January 5, 2008 2008 年 1 月 5 日)
8×10115-9 = 7
(9
)1141
<116> = 31 × 1952641829846445891880391633628571
<34> × 183792537662905341244235989253778248189
<39> × 7190810275475399982758739592384651846401319
<43> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 1.28 hours on Core 2 Duo E6300 1.86GHz, Windows Vista /
January 12, 2008 2008 年 1 月 12 日)
8×10116-9 = 7
(9
)1151
<117> = 7 × 601 × 2399 × 17618927 ×
4498914823027589954502177767264828194440402177682568398889575566184859392258189367911634448562824481481<103>
8×10117-9 = 7
(9
)1161
<118> = 372829 × 673801 × 946886201 × 23054579733001
<14> × 1203266767824644239
<19> × 1212360365626907637766017430542379738743344113366637302699512357061
<67>
8×10118-9 = 7
(9
)1171
<119> = 929 ×
86114101184068891280947255113024757804090419806243272335844994617868675995694294940796555435952637244348762109795479<116>
8×10119-9 = 7
(9
)1181
<120> = 41 × 269 × 318811 × 3667183621
<10> ×
62042301017400996603275075014367355962058187966895330526278921138045829639685408286473804485966277709<101>
8×10120-9 = 7
(9
)1191
<121> = 17 × 140980436176722049147831
<24> × 201912898514421863519033
<24> × 16531724244739797677094769294070330025691469189992376341763977264010111801
<74>
8×10121-9 = 7
(9
)1201
<122> = 19 × 16931 × 66190937999157259563309327452865130078561271454954931
<53> × 3757121508638448333172650338258137145904700516674921367147594549
<64> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 2.07 hours on Core 2 Duo E6300 1.86GHz, Windows Vista /
January 12, 2008 2008 年 1 月 12 日)
8×10122-9 = 7
(9
)1211
<123> = 7 × 433 × 479 × 79629799 × 65511205542191
<14> × 105627579118010198961241542572400153835355663333650886864897190806568868681245992047348899374951
<96>
8×10123-9 = 7
(9
)1221
<124> = 61 × 1531 × 24997684759
<11> ×
3426771721360181654428953629771676679324560568343517918235996281132700620340567184773687381191136855559393039<109>
8×10124-9 = 7
(9
)1231
<125> = 41 × 471528184675037636079943
<24> ×
4138076101516266611399553899059299501642320547257280706598333192612670982383463605435787583592516457<100>
8×10125-9 = 7
(9
)1241
<126> = 226832719 ×
3526828067515251183847071021531069333961473168251357953347109505838088551942984909509461022684298026688116364729552089<118>
8×10126-9 = 7
(9
)1251
<127> = 23 × 217581248286592871920703441696601910487
<39> × 1598603233024812172766526043763336942138049668499189186436388071437141249364595430510791
<88> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 1.48 hours on Core 2 Quad Q6600 /
January 12, 2008 2008 年 1 月 12 日)
8×10127-9 = 7
(9
)1261
<128> = 379 × 162668538905134917251
<21> × 657946460633670262464217847012752777057361
<42> × 1972225892515966800861803327069244574222166958428213389132029239
<64> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 3.10 hours on Core 2 Duo E6300 1.86GHz, Windows Vista /
January 13, 2008 2008 年 1 月 13 日)
8×10128-9 = 7
(9
)1271
<129> = 7 × 103 × 404614087 ×
2742292167422427287690729889200973292113433766197069877178938634243448046654360596538083213446535921526403923849564033<118>
8×10129-9 = 7
(9
)1281
<130> = 41 × 12539 × 4536100568863046394901
<22> ×
3430524720802701163401847697876439169825244483784746397694403874743878437063770501147648944784823642809<103>
8×10130-9 = 7
(9
)1291
<131> = 31 × 47 × 97 × 16230463228990793
<17> ×
34876089691677833342903508989503146475849040917539833934310381258702986387517749678035697172214214885763853903<110>
8×10131-9 = 7
(9
)1301
<132> = 41191035001
<11> × 151997412884823871
<18> × 17395137635564948101611492468769441
<35> × 7345531358476291840454011461466485796613423585618958953378377111100081
<70> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1735415070 for P35 /
January 5, 2008 2008 年 1 月 5 日)
8×10132-9 = 7
(9
)1311
<133> = 569 × 183377 × 3598279 × 2772456103
<10> × 1215962505406241644361
<22> × 6320525105922331840657645991538739365276883820530221672189240436176226633667347386033751
<88>
8×10133-9 = 7
(9
)1321
<134> = 29 × 131 × 821 × 134230471 × 3084425618477467829
<19> ×
61951542000835037581279737010663806153811192081745810634853918906334299802153961473899362472992866831<101>
8×10134-9 = 7
(9
)1331
<135> = 7 × 41 × 2991559 × 51611423 × 547886259883585498357025117689672145168225517346471
<51> × 32951430664648770389924301340174201074562936491053050907418208102919
<68> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 5.77 hours on Core 2 Duo E6300 1.86GHz, Windows Vista /
January 13, 2008 2008 年 1 月 13 日)
8×10135-9 = 7
(9
)1341
<136> = 2242280133867389847297408619
<28> ×
3567796850700335413658530902418118705283912299168086494635422463658210156038995743562306889260792981443809189<109>
8×10136-9 = 7
(9
)1351
<137> = 17 × 4337 × 31319 × 22064536663081199635553
<23> × 414874359200499062591640749476962066365515367
<45> × 3784707754227857968375340111961975566863294728841184192955991
<61> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 3.02 hours on Core 2 Quad Q6600 /
January 13, 2008 2008 年 1 月 13 日)
8×10137-9 = 7
(9
)1361
<138> = 281 × 45259 × 6783449 × 146011951 × 9029523373784041010808525557981
<31> × 1221423363891302373996983840134301
<34> × 5758491037866755216905701730446521364185825908289891
<52> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=4274360394 for P31, Msieve v. 1.28 for P34 x P52 / 25.3 minutes on Core 2 Quad Q6600 /
January 12, 2008 2008 年 1 月 12 日)
8×10138-9 = 7
(9
)1371
<139> =
definitely prime number 素数
8×10139-9 = 7
(9
)1381
<140> = 19 × 41 × 229 × 15695249 × 24527989 × 110631601 ×
10529498738541754816202736159753808310781106211950284172182702169963716947647307740186077642356246030618409273341<113>
8×10140-9 = 7
(9
)1391
<141> = 7 × 2445390769
<10> × 37242387217387908233
<20> × 388536296915994985391902206726511
<33> × 3229792119842628898676018383831983166364802105671842667810158223564146032892279
<79> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 5.41 hours on Core 2 Quad Q6600 /
January 13, 2008 2008 年 1 月 13 日)
8×10141-9 = 7
(9
)1401
<142> = 71 × 18461264067532624519
<20> ×
6103377099523147226220507515885566424858188379663517431659052822574508103751414373958897894353550287072113312752076445159<121>
8×10142-9 = 7
(9
)1411
<143> = 9137 × 618833 × 1079521573057
<13> ×
13106344268257660385799848873815145070735015267291497911795837660217251149657750668426132396884498862251018484795471198903<122>
8×10143-9 = 7
(9
)1421
<144> = 1931 × 57197513924989
<14> × 152883219893830842959
<21> ×
47377347201491538911343208462784817336284594135413608953377398657081612022941678337443698538488935259754311<107>
8×10144-9 = 7
(9
)1431
<145> = 41 × 356977 × 12418519760749442070754470311
<29> × 1202396689032442891861982410658929
<34> × 36605664115474603832272688375093831327326195191011201019483886504026399481577
<77> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 15.54 hours on Core 2 Duo E6300 1.86GHz, Windows Vista /
January 14, 2008 2008 年 1 月 14 日)
8×10145-9 = 7
(9
)1441
<146> = 31 × 3769 × 7489 × 279971682391
<12> × 7742337301078104200488978966281420202696958368400348371
<55> × 42178597070720342821424007221144098406947930977765023595765919575211661
<71> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 13.98 hours on Core 2 Duo E6300 1.86GHz, Windows Vista /
January 14, 2008 2008 年 1 月 14 日)
8×10146-9 = 7
(9
)1451
<147> = 7
2 × 74209 × 233102762089
<12> × 458430639997432973730641
<24> × 2237064275354436560413927703682193
<34> × 920317772467855578861737276438457302528107277025704935144084694913195343
<72> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=930593696 for P34 /
January 12, 2008 2008 年 1 月 12 日)
8×10147-9 = 7
(9
)1461
<148> = 71569 × 15914071 × 77519441 × 211293311 × 3128994342837361
<16> × 757574316234139695166249827153995203794288161
<45> × 180907822053975968030490364262581021587417735195779858011279
<60> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 21.13 hours on Core 2 Duo E6300 1.86GHz, Windows Vista /
January 13, 2008 2008 年 1 月 13 日)
8×10148-9 = 7
(9
)1471
<149> = 23 × 2351 × 5417 × 18204143 × 1811121196799
<13> × 1947542272318766199929
<22> × 1698869895271211983854184427647893889
<37> × 2503720935946036989300856832502895816091759303149812092199359903
<64> (Sinkiti Sibata / Msieve v. 1.30 for P37 x P64 / 11.01 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
January 14, 2008 2008 年 1 月 14 日)
8×10149-9 = 7
(9
)1481
<150> = 41 × 387128561 × 506448962913497763293952892565556348977959
<42> × 51909484898783796991431617515193618122604873161
<47> × 1917204817158045773364919500838723218822870408926609
<52> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.32 /
January 15, 2008 2008 年 1 月 15 日)
8×10150-9 = 7
(9
)1491
<151> = 193 × 247601 × 3624571477934606884159
<22> × 96315157891755373030439425392135709447474977307786081
<53> × 479544565961051555887991852543525630193846540227492360552478340319353
<69> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 11.20 hours on Core 2 Quad Q6600 /
January 13, 2008 2008 年 1 月 13 日)
8×10151-9 = 7
(9
)1501
<152> = 81001 × 1259231 × 1739471 × 87802863301
<11> × 30791592289433442832144020953926711999042958399
<47> × 166777008939323811795992782279128050360042974145183252503836734575392545775709
<78> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 21.10 hours on Core 2 Duo E6300 1.86GHz, Windows Vista /
January 15, 2008 2008 年 1 月 15 日)
8×10152-9 = 7
(9
)1511
<153> = 7 × 17 × 4660787009
<10> × 138804112174759
<15> × 8716632273706955002066316578892953673433856501001
<49> × 1192154963555103648416832707448716501053570407831671868210179818737805091325919
<79> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 25.77 hours on Core 2 Duo E6300 1.86GHz, Windows Vista /
January 15, 2008 2008 年 1 月 15 日)
8×10153-9 = 7
(9
)1521
<154> = 1399 × 1140091 ×
5015713889921615670987135108295711210577412813759259823678007710091441235411108841619002499536502581664115297358770395081557354259801198205019699<145>
8×10154-9 = 7
(9
)1531
<155> = 41 × 59281 × 547957391 × 12119965852433
<14> × 461939553236586484114536733702650233023
<39> × 10728951295727690102209746621884683736435695534177888595486933153914001471840926288450159
<89> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona snfs / 18.01 hours on Core 2 Quad Q6600 /
January 14, 2008 2008 年 1 月 14 日)
8×10155-9 = 7
(9
)1541
<156> = 89 × 39076948619
<11> × 17285468921447286611
<20> × 630937457078491523522125157973689
<33> × 21091713323420107009957029361942912268853049172167108976864637180884556752573488461477765719
<92> (Robert Backstrom / GMP-ECM 6.0 B1=1358000, sigma=3048894762 for P33 /
January 14, 2008 2008 年 1 月 14 日)
8×10156-9 = 7
(9
)1551
<157> = 13001 × 1295988165151587695336675852925431
<34> ×
474801621105532083834700125189778681342962201400810891482867919304452802278015894667986382020302929101025045361916944761<120> (Robert Backstrom / GMP-ECM 6.0.1 B1=2822000, sigma=3560430649 for P34 /
January 16, 2008 2008 年 1 月 16 日)
8×10157-9 = 7
(9
)1561
<158> = 19 × 2099 × 7229 × 18859 × 603401 × 56949044155789
<14> ×
428188103946864618973346395991416136526087129783255206465681135573022188697491171059758709198279405275825079559867921294146909<126>
8×10158-9 = 7
(9
)1571
<159> = 7 × 4323841 × 4714903 × 462997341128773543
<18> × 410562561244534563981430142949031
<33> × 46763860302718914140271163284841847599644741791
<47> × 630639651843465146374746113429199687582690077977
<48> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=2488992415 for P33 /
January 13, 2008 2008 年 1 月 13 日) (Jo Yeong Uk / Msieve v. 1.32 for P47 x P48 / 3.43 hours on Core 2 Quad Q6600 /
January 14, 2008 2008 年 1 月 14 日)
8×10159-9 = 7
(9
)1581
<160> = 41 × 819895751 × 144046589869251451
<18> ×
1652131125410027750230091445891361988713569097781279733909762092164628552597079591796479256940617241534675316425849653189664647062251<133>
8×10160-9 = 7
(9
)1591
<161> = 31 × 57073 × 162324131850327948485434438093621716953
<39> ×
278557273407351934069599866763595027872975703442508848781459154897177077473859196381772941462840739464361826004563169<117> (Robert Backstrom / GMP-ECM 6.0 B1=460000, sigma=2066832104 for P39 /
January 14, 2008 2008 年 1 月 14 日)
8×10161-9 = 7
(9
)1601
<162> = 29 × 199 × 571 × 1692365724601
<13> × 428383815004193749871857607077279
<33> ×
334869450332200636093078292799339933789697545275221769023019937305594987180395275406031737563279818152065360169<111> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=4020806271 for P33 /
January 13, 2008 2008 年 1 月 13 日)
8×10162-9 = 7
(9
)1611
<163> = 103 × 885679 × 27972713 × 20174793473
<11> × 128513348641
<12> × 6739247979073
<13> × 1849901488629672000658219697
<28> × 29004454390043890346738171836159
<32> × 3343949795648324158059774855467139266458728235931156713
<55> (Sinkiti Sibata / Msieve v. 1.30 for P32 x P55 / 5.81 hours on Pentium3 750MHz, Windows Me /
January 13, 2008 2008 年 1 月 13 日)
8×10163-9 = 7
(9
)1621
<164> = 59 × 1871 × 56422890657214170461
<20> × 542641511977858280491601
<24> × 875566100557163004027901
<24> × 27033787953781187764242225330412868305230762710162197083926926782390962622491739968985386579
<92>
8×10164-9 = 7
(9
)1631
<165> = 7 × 41 × 1143403361
<10> × 261891714717420247
<18> × 11046278788929908087
<20> × 308636832720759777975330569373913552783
<39> × 2730380120299666574824672795496309223735144601900062623583012669777090797192599
<79> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P39 x P79 / 32.49 hours on Core 2 Quad Q6600 /
January 16, 2008 2008 年 1 月 16 日)
8×10165-9 = 7
(9
)1641
<166> = 281 × 18039899370116253132365185259
<29> ×
1578154639645101849715900601142746848194561974023738373087552898239995805944710078341227436286841880064814566233260954631456666425083629<136> (Robert Backstrom / GMP-ECM 6.0 B1=508000, sigma=1694339146 for P29 /
January 14, 2008 2008 年 1 月 14 日)
8×10166-9 = 7
(9
)1651
<167> = 1039921 ×
76928920562235015929094613917787985818153494351974813471407924255784814423403316213443136545949163446069461045598656051757777754271718717094856243887756858453671<161>
8×10167-9 = 7
(9
)1661
<168> = 2371 × 3152099 × 68098319 × 39805790809
<11> × 328122692405400099376586451015551
<33> ×
120348219501465859000916415860703533989146155732677824787903392809000729377628019185401396804542816303837799<108> (Robert Backstrom / GMP-ECM 6.0 B1=726000, sigma=2355788295 for P33 /
February 9, 2008 2008 年 2 月 9 日)
8×10168-9 = 7
(9
)1671
<169> = 17 × 168837552669242694718423
<24> × 11681215841603794478271720614912632360063687
<44> ×
238607433000818367820061770438598453100921190268658947143978441159074725390668672932146359772318330023<102> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.36 / 43.83 hours on Cygwin on AMD 64 X2 6000+ /
July 21, 2008 2008 年 7 月 21 日)
8×10169-9 = 7
(9
)1681
<170> = 41 × 311 × 6744493062860975247569
<22> × 153259559622294960992443672324849
<33> × 4793749476605961545931498988840397341
<37> × 1266174380191027066904884727886512981316500532551514322249230638281825634221
<76> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=2143804591 for P33 /
January 10, 2008 2008 年 1 月 10 日) (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 146.83 hours on Core 2 Duo E6300 1.86GHz, Windows Vista /
January 19, 2008 2008 年 1 月 19 日)
8×10170-9 = 7
(9
)1691
<171> = 7 × 23 × 26017 × 2214715267511
<13> ×
86236077562737196330146826425772970067888786441365007847722264766881105680234692955925454854605262572454517069721363351702050706318228050577829986173313<152>
8×10171-9 = 7
(9
)1701
<172> = 193889600710609
<15> ×
41260593506200698279599462767637384171982231491177858236262250974719211845842972441210726085997841796337501541838264491008556974220898578912233981285000963399<158>
8×10172-9 = 7
(9
)1711
<173> = 2887 × 183569 × 20014529 × 128714305601821727214220447
<27> ×
58596498982001952975845798701288109708106382244239018345980820975809202876122374448730226233013938124947800132473133749936923060319<131>
8×10173-9 = 7
(9
)1721
<174> = 762946411 × 25759368564863328438503015111
<29> × 23660900021573994987453189462396384397709
<41> × 1720400179231385795985452436310629205021018478432220686288060649998543845046452046194341069059519
<97> (Serge Batalov / GMP-ECM 6.2.1 B1=5000000, sigma=3442877901 for P41 /
August 8, 2008 2008 年 8 月 8 日)
8×10174-9 = 7
(9
)1731
<175> = 41 × 173743074481
<12> × 19106912458400837994080317241
<29> × 451656251742733916273683704772193
<33> × 592251998082554341409369753785202370375115807
<45> × 219732123875349514938455918437129730022904144914165154681
<57> (Serge Batalov / GMP-ECM 6.2.1 B1=2000000, sigma=1366989160 for P33 /
August 29, 2008 2008 年 8 月 29 日) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P45 x P57 / 4.00 hours on Core 2 Quad Q6700 /
August 30, 2008 2008 年 8 月 30 日)
8×10175-9 = 7
(9
)1741
<176> = 19 × 31 × 149 × 20059681 × 343336352573371
<15> ×
132356298264951304247691216083342406871276098976976067296888785159636102953289446576228151348035488494413741550290799505424221421961676806586976243781<150>
8×10176-9 = 7
(9
)1751
<177> = 7 × 47 × 71 × 2006614343
<10> × 3761131926862762109033
<22> ×
4537882651626232824466406254647044203827101931656789392057764811180770931956296544596453833901873187582314737218252795726330076899175702962071<142>
8×10177-9 = 7
(9
)1761
<178> = 991 × 115981 × 36714255936236869753284963919
<29> × 293404665016948568264301967590385417545820782950131890352575649
<63> × 6461416521356221327173118082655938446851161197468240636540461926587279552388291
<79> (Warut Roonguthai / Msieve 1.48 snfs /
January 31, 2012 2012 年 1 月 31 日)
8×10178-9 = 7
(9
)1771
<179> =
definitely prime number 素数
8×10179-9 = 7
(9
)1781
<180> = 41 ×
19512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951<179>
8×10180-9 = 7
(9
)1791
<181> = 826115977894170609050375729157582021497
<39> × 9990207070327391855783197701498143287718371662893791939986474480751
<67> × 969336296313865853470535064289775123620533028668230038800912477861614266753
<75> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=3000000, sigma=1512967684 for P39 /
January 15, 2008 2008 年 1 月 15 日) (matsui / Msieve 1.41 snfs / 110.65 hours /
May 19, 2009 2009 年 5 月 19 日)
8×10181-9 = 7
(9
)1801
<182> = 6701381 ×
11937837887444393924177717995738490320129537478916659118471252417971758358463725611183724668094531559987411549947689886606954596373493761957423402728482382959572064325248780811<176>
8×10182-9 = 7
(9
)1811
<183> = 7 × 55034647 × 80872862999
<11> × 12505279122703
<14> × 4610751791149583
<16> × 300977981458113710336063
<24> × 791520676525556756558287
<24> × 1869350855022326145848482156629783632895446606870285042910755179464118848856103721317809
<88>
8×10183-9 = 7
(9
)1821
<184> = 61 × 6301 ×
20813766224981202567378063851431336686084176074055380228483118734731151183392695929087498471489042852942936458173435910511212115693319561558014470770967918181084969598892707636831<179>
8×10184-9 = 7
(9
)1831
<185> = 17 × 41 × 53881 × 525199 × 19560201548737
<14> × 47291522362212610363688449301629559
<35> × 16036893578982114464326470006735731329
<38> × 273414034698599650866625624274832254903897139353621479873467317551382470700435628639391
<87> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=3256196919 for P35 /
January 10, 2008 2008 年 1 月 10 日) (Robert Backstrom / GMP-ECM 6.0.1 B1=1836000, sigma=2743095310 for P38 /
January 26, 2008 2008 年 1 月 26 日)
8×10185-9 = 7
(9
)1841
<186> = 191 × 1417159 × 2076771549705598050703621
<25> ×
1423145536052120102382132019368305719940062530797523306346723844255178216935965167603016558787305428873887986189012205606784622894763594805151285500405859<154>
8×10186-9 = 7
(9
)1851
<187> = 151 × 847274600419839100841
<21> × 7792689731598829239462487148882553000521530686313
<49> ×
8024194874485047703519917845528012680760042092666387174497595573580873743456741120481696442116176478200628281751377<115> (Rich Dickerson / GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] B1=11000000, sigma=2999268530 for P49 /
April 18, 2014 2014 年 4 月 18 日)
8×10187-9 = 7
(9
)1861
<188> = 4799 × 2538299 ×
6567445211308539305752531218104327527054666278838120571641421811856386013228494084794165546954678894087650150445996423381980253401263025335072242978079596518324777346300066182091<178>
8×10188-9 = 7
(9
)1871
<189> = 7
2 × 7602311 × 173736791 × 24708429609994175097734154407390913318412121051201351269847898750755065188688709610697
<86> × 500277919901286123788847387177898953814010750877712565143716310335071116668731990013647
<87> (Kenji Ibusuki / Msieve v. 1.49 (SVN unknown) + GGNFS-0.77.1-VC8 with factMsieve.pl (decomposed + modified) snfs (without procrels.exe, matbuild.exe for "finalFF" calculation) /
March 23, 2018 2018 年 3 月 23 日)
8×10189-9 = 7
(9
)1881
<190> = 29 × 41 × 2596385003143837715582911
<25> × 99760061273644004036629721962507984411998232045559266831
<56> ×
25976601570325605818016568315425261716559739910709859393895853771282907581296925254694377486952180265351259<107> (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P107 /
July 28, 2020 2020 年 7 月 28 日)
8×10190-9 = 7
(9
)1891
<191> = 31 × 257 × 30319 × 2445649 × 568034078420777
<15> × 1118584622077795641597568510231
<31> × 5956694674603727915072852316779388032674317487
<46> × 35779774073720156830334101164802233650029559245191540826257705794588243741259881976407
<86> (Makoto Kamada / GMP-ECM 6.1.3 B1=250000, sigma=1248440662 for P31 /
January 11, 2008 2008 年 1 月 11 日) (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=3143978648 for P46 /
April 21, 2009 2009 年 4 月 21 日)
8×10191-9 = 7
(9
)1901
<192> = 2838215384488977187840273748749501
<34> × 11412131969599008438240318786662726098816744366881341138628748124351174280239
<77> × 24698913661796525704065445766487969144708213183459085751204613433159351921151281069
<83> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=301425253 for P34 /
January 12, 2008 2008 年 1 月 12 日) (Edwin Hall / CADO-NFS for P77 x P83 /
December 13, 2020 2020 年 12 月 13 日)
8×10192-9 = 7
(9
)1911
<193> = 23 × 18679 × 88554291281
<11> × 21761061683787691129
<20> × 1019205584347682443153199
<25> ×
9481063224206527308752297561166297518388025260180897213130338632814005914190654888873107270178108977355433010461160592720741029966273<133>
8×10193-9 = 7
(9
)1921
<194> = 19 × 281 × 4418326058451689
<16> × 28635389649731171
<17> × 4005799549560803338611269
<25> × 47530447988775454504196992466925654385332702204589
<50> × 622025352119764712028843316628216948512092949996598055244945354900245093351541822511
<84> (Sinkiti Sibata / Msieve 1.40 gnfs for P50 x P84 / 379.04 hours /
May 23, 2009 2009 年 5 月 23 日)
8×10194-9 = 7
(9
)1931
<195> = 7 × 41 × 27333617 ×
101979055534180908398804937583005844284932836783323810289051858283389497739408541687601081217588453295187071615330580713221651435519603254808356223825144965499662669282257266479646758329<186>
8×10195-9 = 7
(9
)1941
<196> = 3889 × 15610275261869941441
<20> × 435897677914358674687851179
<27> × 1045513792226296340499906371
<28> × 19119580804026448034824934992231
<32> × 15123377562818027057411188140424291585847836807190418568871815626881749196170735312717121
<89> (Jo Yeong Uk / GMP-ECM 6.1.3 B1=1000000, sigma=3290480722 for P32 /
January 15, 2008 2008 年 1 月 15 日)
8×10196-9 = 7
(9
)1951
<197> = 103 × 167 × 954991 × 81414877802867842804171020513313290804837130370072920417469071886006761367
<74> ×
59818185753980978199058118896566485703373129613222157612388667504251304310190969765131248916109490387978301091103<113> (Robert Backstrom / Msieve 1.44 snfs /
March 15, 2012 2012 年 3 月 15 日)
8×10197-9 = 7
(9
)1961
<198> = 1741 × 91944989 × 1234814714173888079
<19> × 1427215094366113765241891957567569
<34> × 1908958733856301694391969850590058850504946851
<46> × 1485509331511250677828481937411850202310266579344367442824439124264860593989565789479246459
<91> (Ignacio Santos / GMP-ECM 6.3 B1=1000000, sigma=188830890 for P34 /
October 23, 2010 2010 年 10 月 23 日) (Wataru Sakai / GMP-ECM 6.2.3 B1=11000000, sigma=2042445678 for P46 /
December 3, 2010 2010 年 12 月 3 日)
8×10198-9 = 7
(9
)1971
<199> = 1616047 × 866083792778492543
<18> × 48379420295302544573687953
<26> ×
118145022102909943944592172563135540794145409774164176463071726333370430757513105962769532160781285167609778415980091915961386815871399074195238846807<150>
8×10199-9 = 7
(9
)1981
<200> = 41 × 89 × 1951 ×
11237219243344651554198723760917485239561360765445663198907629917354466422416342063201211259862240119991027080434189295733972319076907388036210253428791637935672257510992458561700550862533832809<194>
8×10200-9 = 7
(9
)1991
<201> = 7 × 17 × 887 × 4759 ×
1592588960531259966185315080796009486471142914121708678264296297337967446036372259364172752846575093743717920866273157709165652258833522111197559273010770935945042796816980833273480190513534033<193>
8×10201-9 = 7
(9
)2001
<202> = 53741904157986199
<17> × 453999315412948545613489
<24> × 8810323494327406159856060501854724310849432824704787786992355629
<64> × 37216016358479666099272379523431381415518510428461081129389373677507890507638258597878754054095189
<98> (Bob Backstrom / GMP-ECM 7.0.4 B1=45310000, sigma=1:956250037 for P64 x P98 /
June 16, 2023 2023 年 6 月 16 日)
8×10202-9 = 7
(9
)2011
<203> = 3943 × 53099360729
<11> ×
382097254672614913340202368026272144023459536191136002678102550589232823417532364619639237993486813223934078753254472001296857965821164493009722760529934297557570715413022046567446618996953<189>
8×10203-9 = 7
(9
)2021
<204> = 1471 × 59382805939
<11> × 120354795269
<12> × 60394682658835190656773536992949
<32> × 53694954854754892804718221745868071
<35> × 403474286370117420764849993380133628803096457592087361
<54> × 58157422897196965521108495629688569153637861218663306686349
<59> (Makoto Kamada / GMP-ECM 6.4 B1=1e6, sigma=2119101525 for P32 /
February 5, 2012 2012 年 2 月 5 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1015594997 for P35, Msieve 1.48 gnfs for P54 x P59 /
February 8, 2012 2012 年 2 月 8 日)
8×10204-9 = 7
(9
)2031
<205> = 41 × 23833 × 16205329375756221583103465311673
<32> × 61185149841729841575298622995107368852741610290110620652278677279
<65> ×
8257023616745334624926846785073183873444087223409209758234120829221527203747230657227602028903195238641<103> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=2633903517 for P32 /
February 7, 2012 2012 年 2 月 7 日) (Bob Backstrom / Msieve 1.44 snfs for P65 x P103 /
October 26, 2023 2023 年 10 月 26 日)
8×10205-9 = 7
(9
)2041
<206> = 31 × 51225707609
<11> × 320273508689
<12> × 3057792190289
<13> × 7819375344968024371452336693179
<31> ×
6578687870510139660523303659740199724518015232584287023187088745718684824935935284311888116432008122491166508382345814269560719137651116931<139> (Makoto Kamada / GMP-ECM 6.4 B1=1e6, sigma=1066738707 for P31 /
February 5, 2012 2012 年 2 月 5 日)
8×10206-9 = 7
(9
)2051
<207> = 7 × 4463 × 462308604473
<12> × 632035769279
<12> × 386192668235818904867935523131996616373406417
<45> ×
226927642651189384924512673646178997875662032357854350953030909783471096279518674782267734673684083081944821050222383149646979691116409<135> (Bob Backstrom / GMP-ECM 7.0.4 B1=35720000, sigma=1:579575206 for P45 x P135 /
July 2, 2021 2021 年 7 月 2 日)
8×10207-9 = 7
(9
)2061
<208> = 29022289 × 231481619423005561
<18> × 5891042753158565579
<19> × 383563553224667129883891866576590009
<36> × 2359994481905721143616232585850367032270519
<43> × 223306475654755621082958334503634416321951702625374202668692208032859353866554246722531
<87> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2460805740 for P36 /
February 8, 2012 2012 年 2 月 8 日) (Warut Roonguthai / Msieve 1.48 gnfs for P43 x P87 /
February 14, 2012 2012 年 2 月 14 日)
8×10208-9 = 7
(9
)2071
<209> = 16425041 × 109820965184612658553334561
<27> × 16676835144464689281490881595951
<32> ×
2659405929581831293565068128847269042687244750493538621421776967444578619579170149805010981249277469626588751271440227953337250531318602167044041<145> (Makoto Kamada / GMP-ECM 6.4 B1=1e6, sigma=3755180555 for P32 /
February 5, 2012 2012 年 2 月 5 日)
8×10209-9 = 7
(9
)2081
<210> = 41 × 109 × 1360359379
<10> ×
131590936325342026559291494366315030725946976988397839708462165966663128760843627792172881678530204632706782793630062234233158789660889365686898556613157113451038753684429413499110123935490234645241<198>
8×10210-9 = 7
(9
)2091
<211> = 359 × 352585123213688238209088624642086390941252550482654312659488413481
<66> ×
63202106656010406556759667715580889046487196378902614899075518260479266518560510682320966550634695977417478810669857055435308396255452706606729<143> (Kenji Ibusuki / GGNFS-0.77.1-VC8 with factLat.pl (decomposed + modified) snfs /
March 4, 2012 2012 年 3 月 4 日)
8×10211-9 = 7
(9
)2101
<212> = 19 × 71 × 409 × 461 × 381239 × 44323901911430299
<17> ×
[18613090848619154380747271992252774832320724349757780448634635913376328957004719385849927304596388114074857107498755574435378571356359451432286829189704031242269523182345302462533131<182>]
Free to factor
8×10212-9 = 7
(9
)2111
<213> = 7 × 26183 × 169313 × 415320089 × 1900689590953
<13> × 1851356479454681782943182282432079535581617393
<46> × 31928351621138747939762429657064506409514168353797424553
<56> × 552486351302421971067972087000414597054715852617904914334871053835933092571523679
<81> (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=3731307205 for P46 /
February 14, 2014 2014 年 2 月 14 日) (Erik Branger / GGNFS, Msieve gnfs for P56 x P81 /
June 17, 2014 2014 年 6 月 17 日)
8×10213-9 = 7
(9
)2121
<214> =
definitely prime number 素数
8×10214-9 = 7
(9
)2131
<215> = 23 × 41 × 182687 × 848423 × 91060340977
<11> × 195064932800671
<15> × 2886040652293261121
<19> × 10640290587464849006471302367
<29> × 207349464913336188675367467608513
<33> × 108949257441081492745795054103854289
<36> × 44418778933365391401581679676288297409967491417272068628919489
<62> (Makoto Kamada / GMP-ECM 6.4 B1=1e6, sigma=3200188585 for P33 /
February 5, 2012 2012 年 2 月 5 日) (Warut Roonguthai / Msieve 1.48 gnfs for P36 x P62 /
February 8, 2012 2012 年 2 月 8 日)
8×10215-9 = 7
(9
)2141
<216> = 125523691 × 14750700551
<11> ×
432067539018221815137592217173370298877795799944486578143120893421828183766243999826033245033194470228899636678951978407138655947171340828649534603631240039297792280827538998381697058019482355771251<198>
8×10216-9 = 7
(9
)2151
<217> = 17 × 16527160925826955714456519
<26> ×
28473628193377757499689835180671069975436684001365746159516865145605963012482072255300603684210781437647928059614192221779732467968558000851473755036311784268453766759808701987053990372542017<191>
8×10217-9 = 7
(9
)2161
<218> = 29 × 63311 × 20114021 × 34349179 × 85899031 ×
[734191395993309381497216879725179244650425417587853108879355218409852620652981417516277294448912787522030981370791382184656473446407878294958954942864285825434910200422009007289212109220941<189>]
Free to factor
8×10218-9 = 7
(9
)2171
<219> = 7 × 3271 × 901528497316355772074058337256364994351
<39> × 7403565714962559282672850667451919621111
<40> × 35594522000963558448843039644723038426729
<41> × 147064497301686100463326295785520523913687470636240970765830801402569209267305122035506041699687
<96> (Serge Batalov / GMP-ECM B1=2000000, sigma=2798145354 for P39 /
February 8, 2012 2012 年 2 月 8 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2436595440 for P41 /
February 10, 2012 2012 年 2 月 10 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3431402457 for P40 /
February 28, 2012 2012 年 2 月 28 日)
8×10219-9 = 7
(9
)2181
<220> = 41 × 12161 × 1800449461
<10> × 58779051569787581
<17> × 115495700551356678906352082932952954928997212603363889741
<57> ×
1312706135067070657517923675315249013278419943547973095414464676878286675575323140969186339154394814536261364165533108361769969748411<133> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P57 x P133 /
October 24, 2020 2020 年 10 月 24 日)
8×10220-9 = 7
(9
)2191
<221> = 31 × 223 × 1211647 × 1622280868927
<13> × 1517630966915612671
<19> × 4394614115734335254718367974861097
<34> ×
882743129427351530264106926864560648240553136372071098686185119035170557604353129690648662635308325532181922284556948631456584937424490041655630369<147> (Makoto Kamada / GMP-ECM 6.4 B1=1e6, sigma=1710193540 for P34 /
February 5, 2012 2012 年 2 月 5 日)
8×10221-9 = 7
(9
)2201
<222> = 59 × 281 × 13829 × 124339 × 28945309 × 6377253754843809216010092323801
<31> × 130173340908550614704000947921052474318900615839
<48> ×
1167883624674472602278491373600486628733422659243002471321192444782864372225075628989002158092629910419913388407187266509609<124> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=2972292649 for P31 /
February 7, 2012 2012 年 2 月 7 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P48 x P124 /
May 29, 2022 2022 年 5 月 29 日)
8×10222-9 = 7
(9
)2211
<223> = 47 × 10273 × 67961 × 11196313 × 194245282193
<12> × 623348773457
<12> × 6692114916546796817300415972679146771885465800000866438892057407
<64> ×
26872933078061947483499444488877311888017639204426039167694477553415794303787373181408940676920445755783195959753149911<119> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P64 x P119 /
March 30, 2022 2022 年 3 月 30 日)
8×10223-9 = 7
(9
)2221
<224> = 56671 × 43512761 × 262227619 ×
[123718326818921983698997674215499215221431040281039247186093180170142898244187288715754502343620260298708158057661745158675726245270689728702571753657637140775022760971244216967967144580820715570949800219<204>]
Free to factor
8×10224-9 = 7
(9
)2231
<225> = 7 × 41 × 42069507863
<11> ×
66258356410310911815218099063285147715919526998981310080499212600366947939624840698066275898033707549507098898506014634117220037849080063979093508456019930514060766096556441131896175789035186152621023947475256511<212>
8×10225-9 = 7
(9
)2241
<226> = 1085609492839
<13> ×
7369132319466950629764048177305328479239963577913954494172930628160822310655579714993841099466148843831130688037205696002503652624565883445673873851021578797132418025326091453105505152348540056040312231336107401969<214>
8×10226-9 = 7
(9
)2251
<227> = 97 × 113 × 313 × 401 × 6271 × 606947959 × 1741466113963086055081
<22> ×
[8772993644271341727972676483705398147165081262589997769724266257247856928734461397250428940881199588856832560066133641078964251044364291898018852344673395667384595436437539681797350143<184>]
Free to factor
8×10227-9 = 7
(9
)2261
<228> = 345599 × 5197081 × 116256056369
<12> × 604164697454869
<15> × 192574188519105839
<18> ×
32929794156322879495338602885034114500361855923369776780459048536652587097029854535071878735945627738212538053435821609716899316179951995825523601656876213272969721481289491<173>
8×10228-9 = 7
(9
)2271
<229> = 108743377 × 41616076348182715121
<20> ×
[1767771140477338183069259974923011841261647771746466429215109924708677504748493534139888055538324611074999001795781404348735517144952584936558090210236861853812992933547919779550521354022916535678410423<202>]
Free to factor
8×10229-9 = 7
(9
)2281
<230> = 19 × 41 × 1211326541
<10> × 53904499871
<11> × 5748854973854004570911695555422280559069
<40> ×
[273580363632063644237674800354809013169225887004252328477631732172085995981949538957645870072542082707750073440439786164959496645103118598132072854810452152931841335731<168>] (Serge Batalov / GMP-ECM B1=3000000, sigma=3491332925 for P40 /
May 26, 2014 2014 年 5 月 26 日)
Free to factor
8×10230-9 = 7
(9
)2291
<231> = 7
2 × 103 × 983 × 2734620647767
<13> ×
58966598455289505522980087414186412048349735188851147643824007342507394838437520856472953831646741861243742500616405559806337088769953842113987788066289525781110611888769765836361049074934463464278519959253591473<212>
8×10231-9 = 7
(9
)2301
<232> = 15990809 × 477144268831
<12> × 9664832021043839
<16> × 72240364729753375595168862739
<29> ×
1501742940789884201986989326585660564191974652998924731158598315151703404542838467100129509102329022714957089445674920267449381698968908183861967333270578224550405124149<169>
8×10232-9 = 7
(9
)2311
<233> = 17 × 672167 × 2753311711
<10> × 2099169905378344609049
<22> × 1867590180864495694715339047
<28> ×
[648603552754392107855201313994300282462211794002566243794942684228417721777466170243335756933488946299245721251109289864102384367351830331949073683987140515295023702993<168>]
Free to factor
8×10233-9 = 7
(9
)2321
<234> = 1049 × 723551 × 3001919 × 178613861 × 423899143891
<12> × 251911124751709
<15> ×
18408624377862604712452484699993587841385214242251823222941428222544174924488806012656147491993373652708493831912876685454329510681075410224514001958994326931963112555434850552241834629<185>
8×10234-9 = 7
(9
)2331
<235> = 41 × 1645487 × 7713224929846403971411005886131934401119342690917588617662170787451860773633355497
<82> ×
15373603587061717246178249033450488474878492861593512432141678507916989630811431901735698009740650518328168897267414922180461269426267768436002409<146> (Bob Backstrom / Msieve 1.54 snfs for P82 x P146 /
January 2, 2021 2021 年 1 月 2 日)
8×10235-9 = 7
(9
)2341
<236> = 31 × 66549405191
<11> × 133646570909
<12> × 80069180150681
<14> × 137509233770861569
<18> × 14583331384644655834766246191
<29> ×
1807058892093786699381504846069706577618906976995238561396323867816796794003754607130458592182312439364937154992266129236062191022071491811436709821986781<154> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=1805905473 for P29 /
February 7, 2012 2012 年 2 月 7 日)
8×10236-9 = 7
(9
)2351
<237> = 7 × 23 × 4191329 × 440887850221447107185182731517512171773959
<42> ×
[2688959293550758662803569792022591608403827595158597311087987901215976507023612733452358425694282459361151017241557827798561799687428462958410688972618333472524697448336433125490091410321<187>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=2655642556 for P42 /
May 14, 2012 2012 年 5 月 14 日)
Free to factor
8×10237-9 = 7
(9
)2361
<238> = 289065319 × 25894478668908317059
<20> ×
1068776326142634441297644177312849557501061145203191186202359491819463149958043337782610799913613766242648999471416256623697095563844804673372272082132311549465350026883084687688298615807588813204957717437051771<211>
8×10238-9 = 7
(9
)2371
<239> = 13241 ×
6041839740200891171361679631447775847745638546937542481685673287516048636809908617173929461521033154595574352390302847216977569669964504191526319764368250132165244316894494373536741937920096669435843214258741786874103164413563930216751<235>
8×10239-9 = 7
(9
)2381
<240> = 41 × 1511 × 224071 ×
[57630981175722401310804391442815588942766682031463250782783373502358937381991097452598028299725147455584750297220637420867105958470090141851680331833046147216254739631954179604356990669256208860844024733219918967409982779818881071<230>]
Free to factor
8×10240-9 = 7
(9
)2391
<241> = 67694653936875193
<17> ×
118177722091022813983146314113415991921175350135296550750492330663076193994386421890718312339290020712468684373519188008883458564652425986048786252029803191602614361806163486476232547022978943329025219077250242720557219517487<225>
8×10241-9 = 7
(9
)2401
<242> = 179 × 719 × 3830053391
<10> × 35086382558119
<14> × 1277217812163820649
<19> ×
3621593288176758115661547929806607212528138969785922864294706512058994634063557632672937145725189419075822824509273984088920455530901769714499315764869686981513226163195079312428723381534928723571<196>
8×10242-9 = 7
(9
)2411
<243> = 7 × 218233 ×
523686675643529098322827960417142621483853103269048611870274955142963189408960671785267515519127328523707623110554839486760873535559307188712457393179373814749766141168907936537030212138926219748093616848571415479261680340343970500729561<237>
8×10243-9 = 7
(9
)2421
<244> = 61 × 89 × 52466789 × 3339482969
<10> × 6671486959
<10> × 59944667953710342148831
<23> × 271559403294699179670218434082719
<33> × 794002568764327001311531756415850433380330991
<45> ×
97531852448600483179100152442216050067579578364759633890074881289331822004770006000224148797635060789154526852759<113> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=2391588249 for P33 /
February 7, 2012 2012 年 2 月 7 日) (yoyo@Home / GMP-ECM 7.0.5-dev B1=43000000, sigma=0:581579378254481244 for P45 x P113 /
July 27, 2021 2021 年 7 月 27 日)
8×10244-9 = 7
(9
)2431
<245> = 41 × 5849 × 15217 × 12222230187396067903
<20> × 738488395587427276690376057
<27> ×
[2428853577019143317742668732352135856193568495188566337240658521054003621588586276356525012060377364041593830091517639539403776405198621158259196356980845414385414230103991839500223197844257<190>]
Free to factor
8×10245-9 = 7
(9
)2441
<246> = 29 × 4139 × 26234467408092023483878578044093422379955221
<44> ×
[254052990120208972101761884523720999588342322295526614696921697856658355347523277089578810438611748037727855407054329101947615900136134098294436271648047544076998963090108708646874865172433277259141<198>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=295852664 for P44 /
March 10, 2012 2012 年 3 月 10 日)
Free to factor
8×10246-9 = 7
(9
)2451
<247> = 71 × 304151 × 1134714472201
<13> ×
326479409055421069722430093360460511028839253435322567485696067533843494123413010248886102713589673505514128296209938823407540382059759842651701269139016600449145492498849221929844286083585063241382716923141243263915913166392671<228>
8×10247-9 = 7
(9
)2461
<248> = 19 × 307360637263252973156539
<24> × 602879792468421145513441
<24> × 3289354456996380061493927389528425569
<37> ×
[6907911034266074829693664448291777900488674949890473738502974168097412771201004057373822750743309555552070130728113585432038424473092582387418775485488290995056919<163>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3662303517 for P37 /
February 8, 2012 2012 年 2 月 8 日)
Free to factor
8×10248-9 = 7
(9
)2471
<249> = 7 × 17 × 24012575406493670317851540947007249176239
<41> ×
279965349897964273260793367265069054397992529434839860924127865483005125350966554138174669635748250394873452193938689380241881710323277247788220624473980379054466247947188461097513390330222777489472917785551<207> (Lionel Debroux / GMP-ECM 6.5-dev (SVN r1712). for P41 /
February 10, 2012 2012 年 2 月 10 日)
8×10249-9 = 7
(9
)2481
<250> = 41 × 281 × 59281 × 2458169232233878471960429665052435189
<37> × 228344099195616997070047101106338562309649
<42> ×
20868090794823982690731484557044344475803309155709141084654258831633234104523317900122016313878697697890790361570063183473784399973979227645471029508076711855303131<164> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=762661468 for P42 /
February 8, 2012 2012 年 2 月 8 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2710449089 for P37 /
February 8, 2012 2012 年 2 月 8 日)
8×10250-9 = 7
(9
)2491
<251> = 31 × 863 × 62958160036904213969
<20> × 102594635678422265258751823
<27> × 3189958354459564644304445748083579858411050653119
<49> × 10530438171087361390017765560360491998189872046740708203327507713713
<68> × 13781908454290012537209563016988904680157437639760260380085888298486889918559169778023
<86> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1446469063 for P49 /
February 8, 2012 2012 年 2 月 8 日) (Ignacio Santos / GNFS, Msieve for P68 x P86 /
December 5, 2021 2021 年 12 月 5 日)
8×10251-9 = 7
(9
)2501
<252> = 77725026010201
<14> × 726629102114514409
<18> ×
[14164991661603392320853022001129112301820209188156333072655238468741275814059740801231405415531430010103114126950322369277269773978411187241588355374416753502387348074807627568080249081112465189002348869819690674273591799<221>]
Free to factor
8×10252-9 = 7
(9
)2511
<253> = 577 × 4177 × 30851089 × 5943483235858559
<16> × 98236393656152534289905050250833098263
<38> ×
[184274714542044997067394800456358890982671191497995485887871335666554527513657859650080059887966423307523344715764064997989198869415887505015264214222270132134278672195580814925286249983<186>] (Erik Branger / GMP-ECM B1=3e6, sigma=3:4274666408 for P38 /
April 8, 2019 2019 年 4 月 8 日)
Free to factor
8×10253-9 = 7
(9
)2521
<254> = 2039 × 2327060669
<10> ×
[16860290580580218498585290134575589300234348381010887126589498261382084515006658075879561172069384910479158780085847421634538616797587705214988768404768231059848861137773782211320150210328809068852061445416741098203903205166075651168255754901<242>]
Free to factor
8×10254-9 = 7
(9
)2531
<255> = 7 × 41 × 410983 × 23806399 × 741592463 × 27358584830296151
<17> ×
14042084682593635161862413864842031330800873020077681807782388662606266435870229947192629444859707043185856206960299877630723279243340604816294139193071333371019411867434352429780663490749367366820530871636464759033<215>
8×10255-9 = 7
(9
)2541
<256> = 2341 × 25598868290692118933236965241
<29> ×
[133495863059218718054000679150447614759168461424500417281931057792497890332217079261558100337735938732268067248096398677813950301446345333981763119279508083093059273954085376183450709635769379717800054829256377537500194459011<225>]
Free to factor
8×10256-9 = 7
(9
)2551
<257> = 18624969151
<11> × 1496142165767
<13> ×
2870923115542606346297858607690795444997478785577577424683913732167058303753143454593694069089493341839818546990745792666884329395550596313226542629087942694994181371636116004008715446268435894058804046372889068118736460093217605416623<235>
8×10257-9 = 7
(9
)2561
<258> = 1168075061701
<13> × 1079639689622699459
<19> × 5127924277920806171
<19> × 4933003654377443784503296058519
<31> ×
25077679793201359657754662999427373022372814832686598032173840419960480565027364184954811964348269069900862819594748981536319854336517379956186398954397542376963946896915642625501<179> (Erik Branger / GMP-ECM B1=3e6, sigma=3:183384854 for P31 x P179 /
April 8, 2019 2019 年 4 月 8 日)
8×10258-9 = 7
(9
)2571
<259> = 23 × 911 × 1276271 × 53854183 × 412536937 × 5014653717324387171624313
<25> ×
[2685206209701007817897074902556755052028815720187702973912585631765614917626167784320906759734910100580284140843388122874602558381830350917100116580484074881841657535457343094664264479411631114433700272444759<208>]
Free to factor
8×10259-9 = 7
(9
)2581
<260> = 41 × 38571410147166599
<17> ×
[50587196702178537409337147742214566227419445698294128794150769051905865523674413827279781985462304228265629782326852750879420632833399876403282088412909298108807171524217966938888612631190672945613825410709550645862227147654818927637897281449<242>]
Free to factor
8×10260-9 = 7
(9
)2591
<261> = 7 × 199 × 21737 × 59473 × 531239 ×
[836237171614029084333609927209735179050013346252585338409513702711727820659541170354579111429397253093267517406930534636857426367755635755081734059141698613726260215286513617416280605391112881308122320598037084735900701509564259212553814335433<243>]
Free to factor
8×10261-9 = 7
(9
)2601
<262> = 151 × 7781712227895403909
<19> ×
6808287289320620462384244888383945726001516826679347140261889282213154018376438974061923998587466425612438151288110825345548298996057332365177722242716986064229755411542278624527650994294523488567906083222508180764953347760264733617124144749<241>
8×10262-9 = 7
(9
)2611
<263> = 539711 × 541247556314492435983
<21> ×
273862626387374773800352190984926636215214255840148088695843904570580727098719980363524899228474269798962136541991852384081983919571312765837280265158087032301436589569358007638862913432274295828353679448821041036193535388728379511367207<237>
8×10263-9 = 7
(9
)2621
<264> = 131 × 9239 × 7757131 ×
85210398918548922182117435481547220724019554301888847472298243055930788561595569938861199209306067957430259722180071334283363793320125625248001718659897208265356039461049332736752185514000741347171190485666684052467340934437442627874828929485958932929<251>
8×10264-9 = 7
(9
)2631
<265> = 17 × 41 × 103 × 166319 × 2635553 × 3601675849
<10> ×
70583264574193966291549454675591971254881937513455738885719280681245494054678359891206088239199339726012021356589680573559418705702204126492194488070157342077133463913856868034665298497933455136707936348585076174880339137283124427493855807<239>
8×10265-9 = 7
(9
)2641
<266> = 19 × 31 × 7712467195841
<13> ×
[17610892350354452928141843099233279337271935695378562837466125077292298071247655600705086924603826653683952179373328062420123874114061445842227823448611028960417849181714128231498889893267024158238604967793766474901943466994576039377820856696840880659<251>]
Free to factor
8×10266-9 = 7
(9
)2651
<267> = 7 × 13415994527303
<14> ×
[8518616644716908274193163069306442726479345867699088985799560942457815803544043596734574048360085347630313613197684428431892079622555363732420777177527152864907768083472119322294477716810942387625200224730521764783689985995834898906781308002357608442471<253>]
Free to factor
8×10267-9 = 7
(9
)2661
<268> = 6269 × 6951222331
<10> ×
[183582186359516678387668602757828539777496840398914992241469084066635539714643016176418470609576227277969923723114954222969560741298514445609035350142551913562087749455736022290103382912121668516883184748934283585877515049362986846616673736400568185927769<255>]
Free to factor
8×10268-9 = 7
(9
)2671
<269> = 47 × 2985263 ×
570176784951432448365984162441769537665240528613463124005304326121563928495526332363987659920422849375664616769465145880692603148597456693665559000856697746599339146575495778870789252461244709748336012107019816301726322113634508456046008876184336472553282503831<261>
8×10269-9 = 7
(9
)2681
<270> = 41 × 198695209 ×
98201638681440071925413772564689832028722701711001975502847778841990709253686696568118817698881683261679548157575968282252402951104629903342033385169440659211475759435710375492502285307720338396380318335315026239571760997776345539338706205138102726583363263239<260>
8×10270-9 = 7
(9
)2691
<271> =
[7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<271>]
Free to factor
8×10271-9 = 7
(9
)2701
<272> = 77279 × 537781 ×
[1924965893079539619408100457622577285332262967726612873343835150149681742144126526192524287786561925417359180375349994119478239104423628146514024959731314246226495116647302475072474965272892825083358851164458641785704299068574797266828870483187033169950819291109<262>]
Free to factor
8×10272-9 = 7
(9
)2711
<273> = 7
2 × 120829326940830034465563601
<27> × 8209905394034197122465303300738079
<34> ×
[16458240263750466506753099973246695533898965446746531649634532721565884493791057200011396785839378982236818440107666497105002802049195766097922242185116452962666439266172398219285889674775579119489317396890222121<212>] (Erik Branger / GMP-ECM B1=3e6, sigma=3:3849328997 for P34 /
April 8, 2019 2019 年 4 月 8 日)
Free to factor
8×10273-9 = 7
(9
)2721
<274> = 29 × 439 × 6764685604385399914031
<22> × 456306573031318149263990921
<27> ×
[203574382889076311205874782400151847181215371898656889487853034991920352807902840668709976044015732397548004838840344649755509033479740769107489134799935530283035566091503919394723090299941973547794893208327914127162593411<222>]
Free to factor
8×10274-9 = 7
(9
)2731
<275> = 41 × 72472210424321
<14> ×
[26923692554302315368682691414642149256381497229547246127259054570777169629506424947581968064286865837109903952855869028172261030940178987803074087454125538008157785015686702758946147079559518333664405165143729684416509290579441589149178154944947803134469408031<260>]
Free to factor
8×10275-9 = 7
(9
)2741
<276> = 20731 ×
[38589551878828807100477545704500506487868409628093193767787371569147653272876368723168202209251845062949206502339491582653996430466451208335343205827022333703149872172109401379576479668129853842072258935893106941295644204331677198398533597028604505330181853263228980753461<272>]
Free to factor
8×10276-9 = 7
(9
)2751
<277> = 263 × 7487 × 83584159 × 453497633397972143804207
<24> ×
[107183368894906487714599811886373748652269000566041918587919803097762551084521569022587091967542346808820530072659272648089908968212050150728648205985884089528536825513697892776316685320188481842108080313969870626923477429217356589807364447<240>]
Free to factor
8×10277-9 = 7
(9
)2761
<278> = 181 × 281 ×
[1572914413794459408977409016731877076738561962997188415485342403806452881382591769725329820491142525707319950453195965474528617211615972945872082735298165588564912211714280096734236448359253652110654529010440219421560724327087552348557834096852205029393838107783960205265331<274>]
Free to factor
8×10278-9 = 7
(9
)2771
<279> = 7 × 39041 ×
[2927325485661593855543805596314497213552053335870348754240048008137964850139230918411779557754302253674708273719569536787333462623542283387061953184747170556960265215689000940403312268787026093447547816032229853597134148349537299615422614321208107227932539784182928569598993<274>]
Free to factor
8×10279-9 = 7
(9
)2781
<280> = 41 × 59 × 4241 × 4751 × 2234009 × 172086462405545126801
<21> × 1660367313833793839531069
<25> ×
[257137262033773644449495008320439904390596566801298547475790257483099796528502615104670773885621662402140661498173262630528707633979736668118166859016093200306066491893448202418630908897083769851247548976121650528068599<219>]
Free to factor
8×10280-9 = 7
(9
)2791
<281> = 17 × 23 × 31 × 191 × 251353 × 808094695474799
<15> ×
[170126449892142453616680197747657922546681811601262469224842843706439202162585730261087870472764848696534224164308469730185920486890941905261786553521496155940184421999724974059381700999060006543550421392706295876722292705777040796711753572684745006068023<255>]
Free to factor
8×10281-9 = 7
(9
)2801
<282> = 71 × 96940559 × 61666422183841
<14> × 330307865376756871
<18> ×
[5706350599902756936975286670577811176967567949081450536408958320816346661620213248618961740182700685764264985510930286120816958464907403582545917251107028900450543591128607651929324897177177477012163990999614805409188554010082653877065016329<241>]
Free to factor
8×10282-9 = 7
(9
)2811
<283> = 233 × 177127 × 1392736677086081
<16> × 171699870971964833
<18> ×
[810606939625540136394513315059392770218119941445846284439744253288293620551528456733578179876095321467111353328023163094754737489897142393295363974917832864704556766117258092268735326916591548410302076018991084243887848246347399117006016727337<243>]
Free to factor
8×10283-9 = 7
(9
)2821
<284> = 19
2 × 661 × 2449861 × 166356837901
<12> × 110240729828586011
<18> × 3661220371992587251
<19> ×
2038127152431678785703953265128943329280133631360742264177766953843812719188897545072467568849142347106622132816520028023756896712964940430573281933222574732965841742583301361947870796074306260069573568591793489461841787862851<226>
8×10284-9 = 7
(9
)2831
<285> = 7 × 41 × 2081 × 2329821367
<10> ×
[574927902146271502106280411535924729934391612586611094355203888014537361021386398015341403291624252336815455978471929422259865356354802010731745784164436960296061025828442914680680616568312078182305713408576060034209891537866923552287258980553467442176352446305690167359<270>]
Free to factor
8×10285-9 = 7
(9
)2841
<286> = 17609 × 157519 × 604115165831951
<15> × 827117552198376584636493995085004454335292011
<45> ×
[5772120274220296452435072583278683532942779726872496985316398340687987392365876796688006173830412821309719141909851640199450584923589251125157457646973694581450764806248006650369982991834034509581492168001825918506461<217>] (Seth Troisi / GMP-ECM 7.0.6, ecm-db 0.1 B1=10000000000 for P45 /
January 5, 2024 2024 年 1 月 5 日)
Free to factor
8×10286-9 = 7
(9
)2851
<287> = 72665921 × 32852062311911
<14> ×
[33511708272216977549017349138125320375156483439438814097120914294736559733685331285190422614060042625966190561806819986962660273479558037666384365364596168633869511962432552155903646325378535200579609150974935797225679823099605646087709247574507713282023862594010161<266>]
Free to factor
8×10287-9 = 7
(9
)2861
<288> = 89 × 187171 × 6685198939
<10> × 68484336752237634632501
<23> ×
[104895251839468073307121797264869417943207186342218489996107481401183450920714940155615963967254317475407484342033548142580029349569154953353477387808145482506481316561492805805277628553998983043584548208233095378710363847384009044115781886936098851<249>]
Free to factor
8×10288-9 = 7
(9
)2871
<289> =
[7999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<289>]
Free to factor
8×10289-9 = 7
(9
)2881
<290> = 41 ×
[1951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951219512195121951<289>]
Free to factor
8×10290-9 = 7
(9
)2891
<291> = 7 × 678823 × 744023041 × 2889150680814767
<16> ×
[78321107604883387237613713540263222428253296291734873767286247512759333471649838258132635838350366426076814622089937371741528657003798297000200872350013991979180938832347792218660510904214784658285925683820313279759197769574507216368652409813102854179877746473<260>]
Free to factor
8×10291-9 = 7
(9
)2901
<292> = 23456539 × 749534778936827003225449
<24> × 28918671504975166687506131
<26> ×
15734607980507546026859236626597776960069353220149652849403626124273490889591302804347543743312203318947316953043099338158285562945190252058333636903782484431543970697578227350528346548391114598921741608019338454394438277703877014939551<236>
8×10292-9 = 7
(9
)2911
<293> = 1979076978158854034010904217
<28> ×
[40422884447084231475115482035894413595397172209502464783558246903739209313028671773209357337795313839534171020735357090703779133135866811324618317371272111569931795644700304571159019830169174260124015182493253693510699695754444116350456438580139048856750965021259023<266>]
Free to factor
8×10293-9 = 7
(9
)2921
<294> =
[799999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999991<294>]
Free to factor
8×10294-9 = 7
(9
)2931
<295> = 41 × 919 × 114758036326466455073
<21> × 186955683751453277914193
<24> ×
[9896208522383669519043365378624746928801580926379137261904107120740522009380266878554866479665478675995537446028561844472432322473549647437254111237074380643540935189446911385056308131570303282744041531213623734094943820620409160750708642780770761<247>]
Free to factor
8×10295-9 = 7
(9
)2941
<296> = 31 × 4159620658997989
<16> × 5378303465267640879988582367436915993001
<40> ×
115353098199771605237300819821427439810451055327481433461422059233867214006904006628981031735725366307484697971948765998806825097200326529253343453435606709638190265034385309943528327748771546499273680113719625664673471636500548946249866349<240> (Erik Branger / GMP-ECM B1=3e6, sigma=3:396988003 for P40 x P240 /
April 8, 2019 2019 年 4 月 8 日)
8×10296-9 = 7
(9
)2951
<297> = 7 × 17 × 586461278407
<12> × 31622204095738441
<17> ×
362502950284881176689269500276187795253574240434210954448545197205204648574247082181977775065258081436946382729683632528163861349474673189764554081123262701881381772312292221458890969829118730891631114067032631958448083770562488039015837832643912192885345721080032447<267>
8×10297-9 = 7
(9
)2961
<298> = 12587648141
<11> × 92741445931
<11> × 3486596492381
<13> ×
[1965485483923639765600670294044101384747208439714787965383158038424160712184772114370154756343445798956308977363556891315437356872414923613229326666454676015316999611080846190860070501646000941609479032171470090738131755247194237497436670968398315581803320114585741<265>]
Free to factor
8×10298-9 = 7
(9
)2971
<299> = 103 × 2422073 ×
[320675317848063866049045470032432580549761676308418129140191428493859502579109408401779108266797647569159434512967286119052980528967485322560427746241074989606411893360112501559734682701934388475115068224936531239614253406991865938284215247711321216421370959215915818303745496931880774087289<291>]
Free to factor
8×10299-9 = 7
(9
)2981
<300> = 41 × 3461 × 3311544903239651056271
<22> × 63749115003517890386364955737809356829
<38> ×
[26705439066307356885647053940144597313164228180800043832153162345865299031089994908303479934768215351403640915386198131698333481382384611309693136059850682740611592875984178150221260502245287834164248212161651179711267995919042346033249<236>] (Erik Branger / GMP-ECM B1=3e6, sigma=3:1252760126 for P38 /
April 8, 2019 2019 年 4 月 8 日)
Free to factor
8×10300-9 = 7
(9
)2991
<301> = 8695173155401
<13> × 346269438693554239465127641
<27> × 1618091141558270735940609497
<28> × 271876238257069800378080765631940405463
<39> ×
[6039811108069576524546919150725784839072333387423697878740550743030591157398940247374602323668729515407840412653433449961986408612402817846458448413704052508489731807768388376461018156569885262441<196>] (Erik Branger / GMP-ECM B1=3e6, sigma=3:3927233858 for P39 /
April 8, 2019 2019 年 4 月 8 日)
Free to factor