19w1 = { 11, 191, 1991, 19991, 199991, 1999991, 19999991, 199999991, 1999999991, 19999999991, … }
2×101-9 = 11 =
definitely prime number 素数
2×102-9 = 191 =
definitely prime number 素数
2×104-9 = 19991 =
definitely prime number 素数
2×107-9 = 19999991 = 11 × 31 × 89 × 659
2×108-9 = 199999991 =
definitely prime number 素数
2×109-9 = 1999999991
<10> = 11 × 349 × 520969
2×1010-9 = 19999999991
<11> = 23 × 3881 × 224057
2×1011-9 = 199999999991
<12> = 11 × 19 × 1069 × 895171
2×1012-9 = 1999999999991
<13> = 7 × 17 × 16806722689
<11>
2×1013-9 = 19999999999991
<14> = 11 × 246209 × 7384709
2×1014-9 = 199999999999991
<15> = 97 × 2061855670103
<13>
2×1015-9 = 1999999999999991
<16> = 11 × 29 × 5879 × 26801 × 39791
2×1016-9 = 19999999999999991
<17> = 73281367 × 272920673
2×1017-9 = 199999999999999991
<18> = 11
2 × 6841 × 241615635431
<12>
2×1018-9 = 1999999999999999991
<19> = 7 × 593 × 481811611659841
<15>
2×1019-9 = 19999999999999999991
<20> = 11 × 540905219 × 3361368599
<10>
2×1020-9 = 199999999999999999991
<21> = 282893137 × 706980742343
<12>
2×1021-9 = 1999999999999999999991
<22> = 11 × 188791 × 1596319 × 603304189
2×1022-9 = 19999999999999999999991
<23> = 31 × 645161290322580645161
<21>
2×1023-9 = 199999999999999999999991
<24> = 11 × 10559 × 44129 × 122039 × 319736189
2×1024-9 = 1999999999999999999999991
<25> = 7
2 × 71 × 1118063929
<10> × 514172601001
<12>
2×1025-9 = 19999999999999999999999991
<26> = 11 × 10567541 × 14556011 × 11820095731
<11>
2×1026-9 = 199999999999999999999999991
<27> = 249051812839
<12> × 803045750681969
<15>
2×1027-9 = 1999999999999999999999999991
<28> = 11 × 311 × 2742739 × 8543341 × 24949663829
<11>
2×1028-9 = 19999999999999999999999999991
<29> = 17 × 170321092673
<12> × 6907368722052551
<16>
2×1029-9 = 199999999999999999999999999991
<30> = 11 × 19 × 956937799043062200956937799
<27>
2×1030-9 = 1999999999999999999999999999991
<31> = 7 × 449 × 638865767 × 996038205406837511
<18>
2×1031-9 = 19999999999999999999999999999991
<32> = 11 × 151 × 179 × 35332266901
<11> × 1903863596145389
<16>
2×1032-9 = 199999999999999999999999999999991
<33> = 23 × 3271 × 25463 × 40759 × 797063983 × 3213626057
<10>
2×1033-9 = 1999999999999999999999999999999991
<34> = 11 × 421 × 431872165838911682142085942561
<30>
2×1034-9 = 19999999999999999999999999999999991
<35> = 223 × 809 × 9679 × 26417 × 726350929 × 596919997679
<12>
2×1035-9 = 199999999999999999999999999999999991
<36> = 11 × 3769 × 59359 × 81268940353844096722975411
<26>
2×1036-9 = 1999999999999999999999999999999999991
<37> = 7 × 167 × 3949222367
<10> × 99892213783
<11> × 4336828601999
<13>
2×1037-9 = 19999999999999999999999999999999999991
<38> = 11 × 31
2 × 61 × 3329 × 246439 × 37806010866287404738031
<23>
2×1038-9 = 199999999999999999999999999999999999991
<39> = 22869686025577
<14> × 8745200951876820488652383
<25>
2×1039-9 = 1999999999999999999999999999999999999991
<40> = 11
2 × 59 × 131 × 139 × 15385319440502704235288428698941
<32>
2×1040-9 = 19999999999999999999999999999999999999991
<41> =
definitely prime number 素数
2×1041-9 = 199999999999999999999999999999999999999991
<42> = 11 × 488085466331
<12> × 37251300102199727218170656351
<29>
2×1042-9 = 1999999999999999999999999999999999999999991
<43> = 7 × 2287 × 6343 × 219943 × 98973449 × 904778413392343544599
<21>
2×1043-9 = 19999999999999999999999999999999999999999991
<44> = 11 × 29 × 4951 × 12663285147422799865009380328472953439
<38>
2×1044-9 = 199999999999999999999999999999999999999999991
<45> = 17 × 607 × 255713 × 75794828714918003030146126968744953
<35>
2×1045-9 = 1999999999999999999999999999999999999999999991
<46> = 11 × 941 × 5099 × 80091091 × 1395506425549
<13> × 339036631874750701
<18>
2×1046-9 = 19999999999999999999999999999999999999999999991
<47> = 31798116143
<11> × 628968078173485649942013924922218937
<36>
2×1047-9 = 199999999999999999999999999999999999999999999991
<48> = 11 × 19 × 599 × 881 × 636229411 × 33826015088399
<14> × 84259019124818789
<17>
2×1048-9 = 1999999999999999999999999999999999999999999999991
<49> = 7 × 1062499290673
<13> × 26862015890153
<14> × 10010705959231474145977
<23>
2×1049-9 = 19999999999999999999999999999999999999999999999991
<50> = 11 × 475167911 × 3826398576358869868672974884833538731571
<40>
2×1050-9 = 199999999999999999999999999999999999999999999999991
<51> = 503 × 243233 × 2967343 × 2428201141143017
<16> × 226875241853431164439
<21>
2×1051-9 = 1
(9
)501
<52> = 11 × 89 × 1181 × 8526781 × 103313435979709
<15> × 1963611161204642162420521
<25>
2×1052-9 = 1
(9
)511
<53> = 31 × 47 × 23017 × 387232169 × 1540104881436003669179279644678106231
<37>
2×1053-9 = 1
(9
)521
<54> = 11 × 9161 × 1984697978585108811066675928590566730507784977821
<49>
2×1054-9 = 1
(9
)531
<55> = 7 × 23 × 359 × 3511 × 9855504069142983943772496450774277719796478519
<46>
2×1055-9 = 1
(9
)541
<56> = 11 × 24329 × 1643881 × 1852019620673087519
<19> × 24546924838605519609223051
<26>
2×1056-9 = 1
(9
)551
<57> = 479 × 675931247 × 1380285167
<10> × 333866376233417
<15> × 1340449492002335043713
<22>
2×1057-9 = 1
(9
)561
<58> = 11 × 17939 × 6609521489
<10> × 1533448029328542179619044592123105606284311
<43>
2×1058-9 = 1
(9
)571
<59> = 199 × 9728801 × 4172581807
<10> × 2475783926244725981531905989967508192287
<40>
2×1059-9 = 1
(9
)581
<60> = 11 × 71 × 349291 × 425105039 × 14988753181
<11> × 1664556822956551
<16> × 69124369004420869
<17>
2×1060-9 = 1
(9
)591
<61> = 7 × 17 × 16806722689075630252100840336134453781512605042016806722689
<59>
2×1061-9 = 1
(9
)601
<62> = 11
2 × 23279 × 3598061 × 127820029 × 47427507781
<11> × 325523665681511080222503357941
<30>
2×1062-9 = 1
(9
)611
<63> = 449 × 36583 × 46999087 × 9954309847472425961
<19> × 26025780417222815046075447239
<29>
2×1063-9 = 1
(9
)621
<64> = 11 × 10186941682129
<14> × 185213828976342192731
<21> × 96365167462748220389917913519
<29>
2×1064-9 = 1
(9
)631
<65> = 263 × 862596250120486216020662040487
<30> × 88159005288747673732550130223111
<32>
2×1065-9 = 1
(9
)641
<66> = 11 × 19 × 73576271 × 13006065488737016869976161187117816842836976598651788169
<56>
2×1066-9 = 1
(9
)651
<67> = 7
2 × 245664261756742446371429272873
<30> × 166146781948400392963900622505781583
<36>
2×1067-9 = 1
(9
)661
<68> = 11 × 31 × 13198091 × 2975774110369
<13> × 83064859216919519
<17> × 17978241245941824709418187151
<29>
2×1068-9 = 1
(9
)671
<69> = 601 × 751 × 1223 × 1327 × 1762039 × 154953963782698536247047930651531943943676000440239
<51>
2×1069-9 = 1
(9
)681
<70> = 11 × 269 × 5431 × 15269 × 5067505969
<10> × 50971410312541
<14> × 31555401733735929967892935334937679
<35>
2×1070-9 = 1
(9
)691
<71> = 383 × 929428663 × 56184324012853329953900330736121910078530727607322415468479
<59>
2×1071-9 = 1
(9
)701
<72> = 11 × 29 × 109 × 136361 × 12951511 × 24584372577405139
<17> × 132477788424192996402945207561495099409
<39>
2×1072-9 = 1
(9
)711
<73> = 7 × 285714285714285714285714285714285714285714285714285714285714285714285713
<72>
2×1073-9 = 1
(9
)721
<74> = 11 × 2819 × 299777909 × 2151506233219133753265396066259903397930266654194380198978011
<61>
2×1074-9 = 1
(9
)731
<75> = 14903075017
<11> × 24973833413251591441
<20> × 537364407804581064874294092950427739989879503
<45>
2×1075-9 = 1
(9
)741
<76> = 11 × 14732791494611
<14> × 1007927010484960949
<19> × 12243996149395867256792018490682835328767179
<44>
2×1076-9 = 1
(9
)751
<77> = 17 × 23 × 1039 × 49230890414499481844878387392953582654972689163542556412446553714593759
<71>
2×1077-9 = 1
(9
)761
<78> = 11 × 18181818181818181818181818181818181818181818181818181818181818181818181818181
<77>
2×1078-9 = 1
(9
)771
<79> = 7 × 3433 × 11057 × 147426512069387119
<18> × 51055819544426943468568569550721482086470953785642967
<53>
2×1079-9 = 1
(9
)781
<80> = 11 × 28020645479
<11> × 4848071658217556101
<19> × 13384129951234862675333966814839331774619359647639
<50>
2×1080-9 = 1
(9
)791
<81> = 3984365353
<10> × 615763509445542041
<18> × 84329318698071458777
<20> × 966670132636951212017264586117071
<33>
2×1081-9 = 1
(9
)801
<82> = 11 × 698452841 × 2469886138112321
<16> × 105395796334258832667738649489860221262251951222704585021
<57>
2×1082-9 = 1
(9
)811
<83> = 31 × 12007 × 177127 × 46394563186201
<14> × 72427578264189535537
<20> × 90277176974141879819834648189657364977
<38>
2×1083-9 = 1
(9
)821
<84> = 11
2 × 19 × 1060906434781
<13> × 760689010157810281
<18> × 6706874894835410693055991
<25> × 16072616910932927008429559
<26>
2×1084-9 = 1
(9
)831
<85> = 7 × 761 × 9689 × 154112537 × 251437687119225263778989847231715716387376074335038155806265443469481
<69>
2×1085-9 = 1
(9
)841
<86> = 11 × 139 × 38611 × 52189 × 10564909523685143283128817379
<29> × 614421922677651537806814146037367031790405619
<45>
2×1086-9 = 1
(9
)851
<87> =
definitely prime number 素数
2×1087-9 = 1
(9
)861
<88> = 11 × 1637599 × 185698729 × 1804658266189414213700049391
<28> × 331303359429795821007123743278484646092092621
<45>
2×1088-9 = 1
(9
)871
<89> = 4702594789293358220779193
<25> × 4252971156591046005277497048988465578309324788247970903656381487
<64>
2×1089-9 = 1
(9
)881
<90> = 11 × 461 × 518341 × 30686874688261752469374495132871
<32> × 2479523124787057654376748439554576041515369667411
<49> (Tetsuya Kobayashi / for P32 x P49 /
February 8, 2003 2003 年 2 月 8 日)
2×1090-9 = 1
(9
)891
<91> = 7 × 5743 × 1569161071
<10> × 9177955008827624831100509280088159
<34> × 3454456193422676960797304000075969739228719
<43>
2×1091-9 = 1
(9
)901
<92> = 11 × 3837889829531477287765030012452916487459
<40> × 473745182623905220252084481452379767965484433955959
<51> (Tetsuya Kobayashi / for P40 x P51 /
February 8, 2003 2003 年 2 月 8 日)
2×1092-9 = 1
(9
)911
<93> = 17 × 41719 × 129310897 × 5185728791082261297603911
<25> × 420535109862140200194491107494918538812791186339965751
<54>
2×1093-9 = 1
(9
)921
<94> = 11 × 42519528089
<11> × 15007925948617741706014894901261653159
<38> × 284923451440497315611905436324802564574415531
<45> (Tetsuya Kobayashi / for P38 x P45 /
February 8, 2003 2003 年 2 月 8 日)
2×1094-9 = 1
(9
)931
<95> = 71 × 257 × 449 × 311659154498655673
<18> × 15582709370629701161
<20> × 502654209187386329938742013378641361311535296507249
<51>
2×1095-9 = 1
(9
)941
<96> = 11 × 89 × 1614149 × 3208533603163552021
<19> × 170003728747829609154624481
<27> × 232027063348552646241296037648633500323621
<42>
2×1096-9 = 1
(9
)951
<97> = 7 × 2959968191
<10> × 89702299849
<11> × 1391901576011417
<16> × 3754812050209796153
<19> × 205894432967825576185719968107845579508807
<42>
2×1097-9 = 1
(9
)961
<98> = 11 × 31 × 59 × 61 × 191 × 126271 × 55768451 × 305452591 × 2251385779481
<13> × 17618724677425071671784264623789242536856340618575092529
<56>
2×1098-9 = 1
(9
)971
<99> = 23 × 47 × 5481927244780791569
<19> × 33749786850391023485940722220440056940053553577732261544990618650004208918719
<77>
2×1099-9 = 1
(9
)981
<100> = 11 × 29 × 919 × 668639342089243085299
<21> × 14762311076206596302501
<23> × 691158290945453415809586448213697497358573444151169
<51>
2×10100-9 = 1
(9
)991
<101> = 4739143 × 4573967723977
<13> × 922650213479204150032549075155424866683684367063300609483609933949012880196577481
<81>
2×10101-9 = 1
(9
)1001
<102> = 11 × 19
3 × 1559 × 3929 × 814869736566609349
<18> × 531080279074329811549193426242635276219790073861711605689766610870433181
<72>
2×10102-9 = 1
(9
)1011
<103> = 7 × 85009 × 284156489537
<12> × 12720431958892201187993
<23> × 929838683912369476841837029095350554286473305287063843960454377
<63>
2×10103-9 = 1
(9
)1021
<104> = 11 × 73721 × 944279221 × 25093621345034999
<17> × 1040836034603295951020514841066319747972655779422221919544149299889819759
<73>
2×10104-9 = 1
(9
)1031
<105> = 58246367832510471330922533301678866841362759833
<47> × 3433690501957258584231539706004296854340296493847755296527
<58> (Makoto Kamada / SNFS for P47 x P58 / 8:06:04:89)
2×10105-9 = 1
(9
)1041
<106> = 11
3 × 2971 × 20599921 × 5659518290751751
<16> × 1070317885998757833926482645825851901
<37> × 4053138858740958727027836989962856809621
<40>
2×10106-9 = 1
(9
)1051
<107> = 113 × 151 × 2713 × 63113047 × 411665601962159
<15> × 1432111535005091142017
<22> × 11611390766636117670384446064721333547715431796204997729
<56>
2×10107-9 = 1
(9
)1061
<108> = 11 × 52981 × 355525815660275383459613214754961
<33> × 965263796763183037481762891813628879233328943534391097601992763507841
<69> (Robert Backstrom / GMP-ECM 5.0c for P33 x P69 /
June 6, 2003 2003 年 6 月 6 日)
2×10108-9 = 1
(9
)1071
<109> = 7
2 × 17 × 1813106638159485199
<19> × 1324224584269856521943230565035264850203152761706792328409849922321578856016283869002073
<88>
2×10109-9 = 1
(9
)1081
<110> = 11 × 7854434914481
<13> × 231484739255995064985784945791920228634829602740847811282765188237297057609311031012732073407701
<96>
2×10110-9 = 1
(9
)1091
<111> = 97 × 1841341838064183395175874922541951809
<37> × 1119757139864229255891290602518972434056764124343105959652676734802902167
<73> (Tetsuya Kobayashi / NFSX 1.8 for P37 x P73 /
March 27, 2003 2003 年 3 月 27 日)
2×10111-9 = 1
(9
)1101
<112> = 11 × 8344960682147582539
<19> × 1156089100292742055124651
<25> × 18846109453076619520247177339329395464997784606309477022326870383629
<68>
2×10112-9 = 1
(9
)1111
<113> = 31 × 997496911 × 174038483110194129004712807
<27> × 3716305883993959982617433460653691519920563429334657011003571487209773092193
<76>
2×10113-9 = 1
(9
)1121
<114> = 11 × 149 ×
122025625381330079316656497864551555826723611958511287370347773032336790726052471018913971934106162294081757169<111>
2×10114-9 = 1
(9
)1131
<115> = 7 × 350431 × 546241 × 17149772513
<11> × 7132522710977830981296719
<25> × 963586917546074670988104859727
<30> × 12663469868819886488801157501096575887
<38> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000 for P30 x P38 /
May 22, 2003 2003 年 5 月 22 日)
2×10115-9 = 1
(9
)1141
<116> = 11 × 3969947675674974075325996365289549567648871
<43> × 457986343075085812910403468446788759785902892257732718573067650529098611
<72> (Robert Backstrom / NFSX v1.8 for P43 x P72 /
June 3, 2003 2003 年 6 月 3 日)
2×10116-9 = 1
(9
)1151
<117> = 1300077873236814617625875427828886902290588172083356016807
<58> × 153836938630497839571709555448490510158389234978218219454513
<60> (Robert Backstrom / NFSX v1.8 for P58 x P60 /
June 3, 2003 2003 年 6 月 3 日)
2×10117-9 = 1
(9
)1161
<118> = 11 × 147275489 × 24469994737259
<14> × 41414714242405865473394362405266901
<35> × 1218199149732943613769732728577161927926373873717269492670131
<61> (Robert Backstrom / NFSX v1.8 for P35 x P61 /
June 19, 2003 2003 年 6 月 19 日)
2×10118-9 = 1
(9
)1171
<119> = 6271 × 777648281 × 29458936251591842088888931959868494080794462012513
<50> × 139217207425244098873436846882057928906682882694072426257
<57> (Robert Backstrom / NFSX v1.8 for P50 x P57 /
June 20, 2003 2003 年 6 月 20 日)
2×10119-9 = 1
(9
)1181
<120> = 11 × 19 × 3525343069
<10> × 12830777786521666579063883794076551
<35> × 21155794470796657835817597776291486582930993643991210891207607504380429621
<74> (Robert Backstrom / NFSX v1.8 for P35 x P74 /
June 23, 2003 2003 年 6 月 23 日)
2×10120-9 = 1
(9
)1191
<121> = 7 × 23
2 × 937 × 561097 × 1034233 × 30956857 × 32086584760886232435260255164910602361731689772346415867148089697425319897877860320867391188833
<95>
2×10121-9 = 1
(9
)1201
<122> = 11 × 1051 × 79280891 × 20144637692819865339657824839
<29> × 10489573112550245363753764243159
<32> × 103263965092626010157759995764072167016601312937741
<51>
2×10122-9 = 1
(9
)1211
<123> = 4831 × 8719 × 26111 × 318310799 ×
571283134592509917770648860992931202988496863968094089615704423026047275318150366184605109917824279671<102>
2×10123-9 = 1
(9
)1221
<124> = 11 × 509 × 6741559648522798608961389652036416202320903697879152911
<55> × 52985757401382608119750656846599231077949363231208239596430954119
<65> (Robert Backstrom / NFSX v1.8 for P55 x P65 /
July 5, 2003 2003 年 7 月 5 日)
2×10124-9 = 1
(9
)1231
<125> = 17 × 401 × 4244688115289
<13> × 29168872800930361
<17> × 23695794222845543472144587669128208477570378616737857497538855252112745603749750074308922087
<92>
2×10125-9 = 1
(9
)1241
<126> = 11 × 349 × 1430997457979
<13> ×
36406004737431600073777554780869053446902351175118673830744727930164953673092068664391474400522986744339900811<110>
2×10126-9 = 1
(9
)1251
<127> = 7 × 449 × 2744573888374974060345943730911359860900897570077723540177
<58> × 231851915065514293604722643132995107535289072169906760240165370881
<66> (Robert Backstrom / NFSX v1.8 for P58 x P66 /
July 21, 2003 2003 年 7 月 21 日)
2×10127-9 = 1
(9
)1261
<128> = 11
2 × 29 × 31 × 599399 × 2848739 × 794801472802789
<15> × 17045983166123225959
<20> × 7947591560253927552849580220915157175710611102965496042279964350835133911739
<76>
2×10128-9 = 1
(9
)1271
<129> = 24342640238672508623881009393
<29> ×
8216035649340341089902476985988296609514057949756161264597798825789716110953918210637129768156579687<100>
2×10129-9 = 1
(9
)1281
<130> = 11 × 71 × 237859 × 3620929774119161145065008275818860531
<37> × 3194496410275118558619826433857192151411
<40> × 930758190542741141297577277292754927901684969
<45> (Robert Backstrom / GMP-ECM 5.0c, PPSIQS Ver 1.1 for P37 x P40 x P45 /
July 11, 2003 2003 年 7 月 11 日)
2×10130-9 = 1
(9
)1291
<131> = 193 × 4639 × 2618352182233
<13> × 423055140719303
<15> × 205956770194082476817
<21> × 97914543563056064554749600829609152424912014602205835291688154827201383381751
<77>
2×10131-9 = 1
(9
)1301
<132> = 11 × 139 × 121141655523918011
<18> × 660681793720134019
<18> × 255234654554421703109524862149
<30> × 6403199397620080243415089796785880325998809233259881532578467219
<64> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000 for P30 x P64 /
May 11, 2003 2003 年 5 月 11 日)
2×10132-9 = 1
(9
)1311
<133> = 7 × 27743 × 49955005113339505177
<20> × 11247549729990561991216522489
<29> × 18329119554344267438037680207487927672825047706285748799968475794628047934135647
<80>
2×10133-9 = 1
(9
)1321
<134> = 11 × 3089 ×
588598840460284293239942317313634892139262485652903263780570352276406015480149504105476912210482945348597663262603372671355837429<129>
2×10134-9 = 1
(9
)1331
<135> = 158800147201
<12> × 58162433076076080770392918305091655606634983253482373981793
<59> × 21653920060883623476839767076368426645852142119974389294590361687
<65> (Robert Backstrom / NFSX v1.8 for P59 x P65 /
August 30, 2003 2003 年 8 月 30 日)
2×10135-9 = 1
(9
)1341
<136> = 11 × 439 × 153786680434528085060726068335061
<33> × 345063667656267171646118159465539
<33> × 7804675190477549930518786297471879204229396433729266237711035950301
<67> (Robert Backstrom / GMP-ECM 5.0c for P33(1537...) x P33(3450...) x P67 /
July 19, 2003 2003 年 7 月 19 日)
2×10136-9 = 1
(9
)1351
<137> = 115525247 × 2717026063
<10> × 4535926271009657
<16> × 22533562178525023361
<20> × 1248987189170342404235704172777
<31> × 499120563718165570649877011896877136304172960831516039
<54>
2×10137-9 = 1
(9
)1361
<138> = 11 × 19 × 419 × 3491 × 236701 × 174401772469481941
<18> × 44122787807001685051
<20> × 43143117777902240545629269
<26> × 8325194323122042227380045898351461187089905845919036118568489
<61>
2×10138-9 = 1
(9
)1371
<139> = 7 × 1361 × 28067396514726202523860938206489746457258001501485978553895083833
<65> × 7479485083314129370275849920397548796557371512278764262868303993853001
<70> (Greg Childers / GGNFS for P65 x P70 /
December 21, 2004 2004 年 12 月 21 日)
2×10139-9 = 1
(9
)1381
<140> = 11 × 89
2 × 13747381 × 7146571832041
<13> × 17963539613629
<14> ×
130061167717437332083824666512298983881870883441403315869480225811084928632218463637178809414366259629<102>
2×10140-9 = 1
(9
)1391
<141> = 17 × 59113 × 11920269538992421121435956097648950019099811559
<47> × 16695983163826097420159437859577435460952586279369215627290094387500562238589852030582969
<89> (Greg Childers / GGNFS for P47 x P89 /
December 21, 2004 2004 年 12 月 21 日)
2×10141-9 = 1
(9
)1401
<142> = 11 × 631 × 13166084339
<11> × 166073887821810483025497421
<27> × 7182404357407176819191288294411
<31> × 18347635945878811125425180600708486525299918329547912228632200452871839
<71> (Robert Backstrom / GMP-ECM 5.0c for P31 x P71 /
July 26, 2003 2003 年 7 月 26 日)
2×10142-9 = 1
(9
)1411
<143> = 23 × 31 × 4821403844377
<13> × 1925837354763431152978123661821696597769
<40> × 3020976519048945912969246806072424580400392622424521165416090871659382240657443469991839
<88> (Robert Backstrom / GMP-ECM 5.0c for P40 x P88 /
July 27, 2003 2003 年 7 月 27 日)
2×10143-9 = 1
(9
)1421
<144> = 11 × 414389 × 636499 × 808651 × 2829709 × 68895319511
<11> × 148810761068999180150604202077241
<33> × 2938355958031759584343133195531046718361797091700151490971832113763607251419
<76> (Robert Backstrom / GMP-ECM 5.0c for P33 x P76 /
July 29, 2003 2003 年 7 月 29 日)
2×10144-9 = 1
(9
)1431
<145> = 7 × 47 × 1697 × 4751 × 15421121 × 324513125593
<12> × 573979583578236121980436103332418434430645159014685375809
<57> × 262495926279377751706900324634363777228196866952780943282841
<60> (Greg Childers / GGNFS for P57 x P60 /
December 21, 2004 2004 年 12 月 21 日)
2×10145-9 = 1
(9
)1441
<146> = 11 × 128631961 × 3058504163210787541565734541
<28> ×
4621461548680485432770137084655508103711899990253073462930407206738395008931268027893096129138805531956481281<109>
2×10146-9 = 1
(9
)1451
<147> = 1471 × 958054117111388133836953
<24> × 248481397786006983813082785705803914377145937759
<48> × 571127931149896369612391508288727305834841885540092677990337631749027823
<72> (Greg Childers / GGNFS for P48 x P72 /
December 21, 2004 2004 年 12 月 21 日)
2×10147-9 = 1
(9
)1461
<148> = 11 × 68180906411
<11> × 1623435592189
<13> × 49499916383731193531
<20> × 80860585291091922488687339449
<29> × 752237361418547331317351905668601661
<36> × 545560892455767788091635557127182197821
<39> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=250000 for P36 x P39 /
May 22, 2003 2003 年 5 月 22 日)
2×10148-9 = 1
(9
)1471
<149> = 57431787553239244660626976882036073
<35> × 252248599228180796094726301293542573587723903
<45> × 1380539695291779642420640847677458347322068680428219755758017617145889
<70> (Greg Childers / GGNFS for P35 x P45 x P70 /
December 21, 2004 2004 年 12 月 21 日)
2×10149-9 = 1
(9
)1481
<150> = 11
2 × 1346265092881
<13> × 387992200624859100187751
<24> × 2531711749931587522393223600637769
<34> × 1249904372706401956986958189545297767572898964186908737074327655472199107457889
<79> (Robert Backstrom / GMP-ECM 5.0c for P34 x P79 /
August 13, 2003 2003 年 8 月 13 日)
2×10150-9 = 1
(9
)1491
<151> = 7
2 × 313 × 5857 × 19249 × 48073 × 2145366910370960233318195778943906318667242154816224697409
<58> × 11215105892080335130809942373623305706116017816514634296425819268673685145143
<77> (Greg Childers / GGNFS for P58 x P77 /
December 21, 2004 2004 年 12 月 21 日)
2×10151-9 = 1
(9
)1501
<152> = 11 × 28977484241
<11> × 18375169252060969
<17> × 22548083877070097907679
<23> × 18013004842843604596374731
<26> × 4655013022923270932988561001253591
<34> × 1806045038483440273580255784582611178647471
<43> (Makoto Kamada / msieve 0.86 for P34 x P43 / 12 minutes)
2×10152-9 = 1
(9
)1511
<153> = 1116296695923497978473
<22> × 5199593364457887425999
<22> ×
34457278693517194077316857526581508846708883813704415804700412601291268625407614569807538834906796005729342833<110>
2×10153-9 = 1
(9
)1521
<154> = 11 × 14143455769740740001759009960126743688349
<41> × 453912657024767148614711372141519336680287959
<45> × 28321058492200039254937740121739341593546053812714710601460743639391
<68> (suberi / GGNFS-0.77.1-20060513-pentium4 for P41 x P45 x P68 / 37.97 hours on Pentium 4 2.26GHz, Windows XP and Cygwin /
June 20, 2006 2006 年 6 月 20 日)
2×10154-9 = 1
(9
)1531
<155> = 682199509510458346711
<21> ×
29316936938802347979391917249290618328209010966349894409649251807510494055398191134873193977207410428908272133807507630300782707712481<134>
2×10155-9 = 1
(9
)1541
<156> = 11 × 19 × 29 × 59 × 521564171 × 45948806279
<11> × 631230959468165622425170279
<27> ×
36971189687843049014584624398373318741185394002800764771942255530825232021645069972337431397407461591019<104>
2×10156-9 = 1
(9
)1551
<157> = 7 × 17
2 × 4463 × 10284359 × 2849130261940733497
<19> × 16898555617138742719
<20> × 631855909108883008824359866689035739181056737
<45> × 708027384596563532504630820087246335731726729305545444147311
<60> (Anton Korobeynikov / GGNFS-0.73.3 gnfs for P45 x P60 / 21.71 hours /
March 9, 2005 2005 年 3 月 9 日)
2×10157-9 = 1
(9
)1561
<158> = 11 × 31 × 61 × 199 × 389 × 719310401 ×
17267392614467203203092890110854489739887276370136967572293760711488767643188574186970711036416614936152764854616791944513844744416108175581<140>
2×10158-9 = 1
(9
)1571
<159> = 449 × 647 × 263423 × 24629981367007296663635744349139127212651564923379917379247
<59> × 106111291216604957235287331858373630426835509120007905601583219050565604016518888425492737
<90> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon for P59 x P90 / 37.18 hours on Cygwin on AMD XP 2700+ /
April 26, 2007 2007 年 4 月 26 日)
2×10159-9 = 1
(9
)1581
<160> = 11 × 24691 × 52861 × 266261 × 4151011 × 40930808775623536636245772098276860041853369431
<47> × 3079296349757713797324715535825813229817563878384139018839754824005144136790174117702778331
<91> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona for P47 x P91 / 23.56 hours on Core 2 Quad Q6600 /
July 28, 2007 2007 年 7 月 28 日)
2×10160-9 = 1
(9
)1591
<161> = 158642813009799873789292199
<27> × 514829968216555250825419476063055331353216130401
<48> × 244875747315362559771904473968778705005860870814895857896156971504755878896463497536209
<87> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs for P48 x P87 / 39.32 hours on Cygwin on AMD XP 2700+ /
October 6, 2007 2007 年 10 月 6 日)
2×10161-9 = 1
(9
)1601
<162> = 11 × 8009 × 46649 × 5470052140709707519
<19> × 21260817950106947166511
<23> × 38623719592924262442438059227864671483234091
<44> × 10834057799333342211229610150242910516634871944815694724812226195039
<68> (Cedric Vonck / GGNFS-0.77.1-20050930-pentium4 gnfs for P44 x P68 / 38.14 hours on Pentium 4 3.0 Ghz Windows Xp Pro Sp2 - 512 Mb /
January 22, 2006 2006 年 1 月 22 日)
2×10162-9 = 1
(9
)1611
<163> = 7 × 2166233 × 2135889447020276760751
<22> ×
61751572044055904905787426693315371750047528441837089424630652723251573766088926827349503905369000230889497829598793774110690098420311<134>
2×10163-9 = 1
(9
)1621
<164> = 11 ×
1818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181<163>
2×10164-9 = 1
(9
)1631
<165> = 23 × 71 × 627656571791
<12> × 197829276153372503
<18> × 400404802647198353513
<21> ×
2463382719864551929861374144340515770390327134582352152793573794219905024407065447563530700577846252346990643223<112>
2×10165-9 = 1
(9
)1641
<166> = 11 × 457527644458064916785243595451
<30> × 10380464989853334806493414428274868458216509448469
<50> × 38282753110901991590906115105218234489358257188870210443245138602465182775068426383299
<86> (Makoto Kamada / GMP-ECM 6.0.1 B1=11000000, sigma=3982948600 for P30 /
April 9, 2005 2005 年 4 月 9 日) (matsui / GGNFS-0.77.1-20060513-prescott snfs for P50 x P86 /
March 14, 2008 2008 年 3 月 14 日)
2×10166-9 = 1
(9
)1651
<167> = 4342608369450320053307697679764984011450663
<43> ×
4605526977909722451833107953713650779997398871974627226660275324682668177795505331963035514480056136584527504258436835169457<124> (Jo Yeong Uk / GGNFS-0.77.1-20050930-k8 for P43 x P124 / 69.64 hours on Core 2 Duo E6300@2.33GHz /
February 15, 2007 2007 年 2 月 15 日)
2×10167-9 = 1
(9
)1661
<168> = 11 × 25693999 × 213778048882883699682952867750597400299228114685941
<51> × 253294029617274149322595661355934135791715095080163601
<54> × 13068253350533572176578369071664035808002504957074122959
<56> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp snfs, Msieve 1.29 for P51 x P54 x P56 /
November 16, 2007 2007 年 11 月 16 日)
2×10168-9 = 1
(9
)1671
<169> = 7 × 1087 × 8537489959
<10> × 367694783292840547667053261930530350154041
<42> × 17966034076031944574391153471623679589453353622292711
<53> × 4660500063909969005743702902671272798968399002082218677735511
<61> (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=4275561283 for P42 /
January 24, 2005 2005 年 1 月 24 日) (Sinkiti Sibata / GGNFS-0.77.1 gnfs for P53 x P61 / 58.38 hours on Pentium 4 2.4GHz, Windows XP and Cygwin /
March 30, 2006 2006 年 3 月 30 日)
2×10169-9 = 1
(9
)1681
<170> = 11 × 131 × 1218179 × 4915970726941
<13> × 166065331635001
<15> ×
13956182537834658156643457652618573113257477876537309557957964583738064010532136928903626428256160603561645591634168121739550131758409<134>
2×10170-9 = 1
(9
)1691
<171> = 2927 × 175911118129
<12> × 20461530396754200059131643273
<29> ×
18983481832409700627689118817669173998276546104832673602564601813378340117732096379364534168100333930658183775574866300916838849<128>
2×10171-9 = 1
(9
)1701
<172> = 11
2 × 541 × 77524813986331865479
<20> × 5034377696798900669436721889289682064351
<40> × 334794278410722364007416315208828631701999789
<45> × 233820618672097095012926459422107581471500507709899340258393951
<63> (Dmitry Domanov / for P45 /
June 10, 2009 2009 年 6 月 10 日) (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P40 x P63 / 3.55 hours on Core 2 Quad Q6700 /
June 11, 2009 2009 年 6 月 11 日)
2×10172-9 = 1
(9
)1711
<173> = 17 × 31 × 20023 × 6637427143417951
<16> × 66028934282635233891831912901618375839864457254966050086431689
<62> × 4324701912262433203651625569596822613898499886371331781703808091038595706400686381022889
<88> (Wataru Sakai / Msieve for P62 x P88 / 69.35 hours /
October 8, 2009 2009 年 10 月 8 日)
2×10173-9 = 1
(9
)1721
<174> = 11 × 19 × 421 × 3041 ×
747455244706401429831056166705899969581935089050640612310253767820047787878360583539654961728067791679245248396176872561971504995417183717274993893384082654288618459<165>
2×10174-9 = 1
(9
)1731
<175> = 7 × 67807 × 195697 × 7483601 × 90799214287
<11> × 174469979351152785406123306399771303
<36> ×
181618394791561707872745497404891429823321019239014722523833973110879902107321452734442912936754551424231080727<111> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=3677067375 for P36 x P111 /
December 6, 2009 2009 年 12 月 6 日)
2×10175-9 = 1
(9
)1741
<176> = 11 × 2104936691786471
<16> × 2999235301404108672880852229001943743610905187225557697685545402923389
<70> × 287996846831064477423205097882532373558238456659108938210015914290084744018871680277303599
<90> (Serge Batalov / Msieve-1.38 snfs for P70 x P90 / 35.00 hours on Opteron-2.6GHz; Linux x86_64 /
October 7, 2008 2008 年 10 月 7 日)
2×10176-9 = 1
(9
)1751
<177> = 977 × 30422398200031601
<17> × 671851302766021349481441049
<27> × 21877620172248112352137872588858671
<35> × 457792574155442948477112056665511633163701347669187524881302075112906813001557315246521154535777
<96> (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=4212978986 for P35 x P96 /
January 12, 2010 2010 年 1 月 12 日)
2×10177-9 = 1
(9
)1761
<178> = 11 × 139 ×
1308044473512099411379986919555264879005886200130804447351209941137998691955526487900588620013080444735120994113799869195552648790058862001308044473512099411379986919555264879<175>
2×10178-9 = 1
(9
)1771
<179> = 911 × 18481 × 289228011298481
<15> × 221280173552000716911237096439263441890326348361377
<51> ×
18561082318616494135355771282942297359949369034556643650271161463829648378462904777206533132526875781163673<107> (Robert Backstrom / Msieve 1.44 snfs for P51 x P107 /
January 16, 2012 2012 年 1 月 16 日)
2×10179-9 = 1
(9
)1781
<180> = 11 × 109 × 1531 × 197084090167072070444501
<24> × 30192185167289557139962813541
<29> × 11175180923359872868625684424731
<32> × 38745744185364135989275373176013064492968519
<44> × 42287395639301185430766513250585783292869637311
<47> (anonymous / GMP-ECM B1=250e3 for P32 /
January 26, 2007 2007 年 1 月 26 日) (Shaopu Lin / Msieve v. 1.16 for P44 x P47 /
January 27, 2007 2007 年 1 月 27 日)
2×10180-9 = 1
(9
)1791
<181> = 7 × 82939584913
<11> × 871243568591655604819543
<24> ×
3953943989419104295200149896389163303020815255328731181790802826878235261637229213699474019776459427102972654594165197833246715355092773554133607<145>
2×10181-9 = 1
(9
)1801
<182> = 11 × 151 × 10799 × 16385760357836479
<17> ×
68047194271676624979683442959271990905014592809411007915004486534294561269469642532600595836182252888373831755597344750327974753436728402956615993566243862611<158>
2×10182-9 = 1
(9
)1811
<183> = 311 × 691199 × 2752961 × 463656400827184289
<18> × 720124831099404032414004397163732542365451969
<45> ×
1012190834704104933514976220750778239330826955459392216982460060901542283935837926598805692017448206884319<106> (Dmitry Domanov / Msieve 1.50 snfs for P45 x P106 /
May 16, 2013 2013 年 5 月 16 日)
2×10183-9 = 1
(9
)1821
<184> = 11 × 29 × 89 × 181 × 199744837434442791340990120371036864210437097079699444679911
<60> ×
1948476479308863608330608439312461206938858412379710908007928999570893351886680145473233888864975347874868634937712811<118> (Wataru Sakai / Msieve for P60 x P118 / 168.64 hours /
April 20, 2009 2009 年 4 月 20 日)
2×10184-9 = 1
(9
)1831
<185> = 44460607 × 1515650074457
<13> ×
296794373051824221415342858566714125768918553733260051315696066534502162022380447724011729666621686211314993312220371601699994516844707551502654447480403622971178609<165>
2×10185-9 = 1
(9
)1841
<186> = 11 × 431 × 712822190229871
<15> × 41923145739683839081792694069691701563673251
<44> ×
1411643285044701092494671131705837219943076551220724985129379796388243775339249001499306233048351268769249907355874986691031<124> (Dmitry Domanov / Msieve 1.50 snfs for P44 x P124 /
August 19, 2013 2013 年 8 月 19 日)
2×10186-9 = 1
(9
)1851
<187> = 7 × 23 × 2423 × 19559 × 56543 × 4863112952611000814088932508306690169
<37> × 35054895007074389149555082237116177199951
<41> × 27193316925340364197216164300107244882363333786168809594227912799048158910622017930873881006399
<95> (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=3952842734 for P37, B1=11000000, sigma=2024333617 for P41 x P95 /
January 12, 2010 2010 年 1 月 12 日)
2×10187-9 = 1
(9
)1861
<188> = 11 × 31 × 232591 × 1114999 × 33386162835946576289
<20> ×
6773945928077052881314007320331858765099546017999350259081226295105722658975983441320119057927058199782700840076712366137904062328166651794261630018618451<154>
2×10188-9 = 1
(9
)1871
<189> = 17 × 156083835959
<12> × 116098705756986833
<18> × 1528557664610115047105616481
<28> × 11850267833117636089279825943451630668842365234326345903782094263
<65> × 35841466648932980827554785774378751162588213168557293505385813501703
<68> (Warut Roonguthai / Msieve 1.49 gnfs for P65 x P68 /
April 11, 2012 2012 年 4 月 11 日)
2×10189-9 = 1
(9
)1881
<190> = 11 × 27109 × 123004222519
<12> × 22228635033329
<14> × 10235905476260465357569393480049424439910731
<44> ×
239642990562554755138199160662108731331039477467670418812099221776208598926253211177900837301269273760076660147119589<117> (Dmitry Domanov / Msieve 1.50 snfs for P44 x P117 /
March 17, 2014 2014 年 3 月 17 日)
2×10190-9 = 1
(9
)1891
<191> = 47 × 449 × 11622972521
<11> × 6341277798583167100964294139041
<31> × 50680062607953557679144633161928029907736514165318468273
<56> × 253719977252865278207737749414682282553737607421048350784017208805958954385289780911162049
<90> (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=511965629 for P31 /
January 14, 2010 2010 年 1 月 14 日) (Dmitry Domanov / Msieve 1.50 snfs for P56 x P90 /
March 18, 2014 2014 年 3 月 18 日)
2×10191-9 = 1
(9
)1901
<192> = 11 × 19 × 23864081784098238712567049
<26> × 778219755946725917399850386711
<30> ×
51527222038994152650195531815232912991979495275318766226747424885244754562768982626118823605600262353516678700395732460832634976485641<134> (Makoto Kamada / GMP-ECM 5.0.3 B1=78530, sigma=1599640853 for P30) (Makoto Kamada / GMP-ECM 5.0.3 B1=400000, sigma=1965997098 for P26 x P134)
2×10192-9 = 1
(9
)1911
<193> = 7
2 × 191 × 234467264994790103711
<21> ×
911419530857067556001147013020418456227492530421410228637842914234618285403694896154707127343878769970497762657753800466250709908952565473342882531764640722687061618759<168>
2×10193-9 = 1
(9
)1921
<194> = 11
2 × 229 × 751 × 1389008490432229693915637396036821
<34> × 310861426140260523240902716508563733925361806968967431281237529
<63> × 2225858080522405948399703682333691692970213094391845788236988586145031483854419913255123361
<91> (matsui / GMP-ECM 6.2.1 for P34 /
November 9, 2008 2008 年 11 月 9 日) (Eric Jeancolas / cado-nfs-3.0.0 for P63 x P91 /
December 10, 2020 2020 年 12 月 10 日)
2×10194-9 = 1
(9
)1931
<195> = 851881 × 36229185784529250353
<20> × 350679958567627000639
<21> ×
18479130959171056066202249179555223942942853525648955297838539947174590476462413142824103269527475771008766372922452370390958506797084358259337854833<149>
2×10195-9 = 1
(9
)1941
<196> = 11 × 36288541519
<11> × 17540295340251835573132392429819529
<35> ×
285647807601379394175092595084308055809638896382277354713937104292787490457559199067284142596434264947742727411425516972204367371903135968410131002131<150> (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=421498009 for P35 x P150 /
January 13, 2010 2010 年 1 月 13 日)
2×10196-9 = 1
(9
)1951
<197> = 577 × 13780783 × 14719751 × 67067526692869132643082144969723620388698279
<44> ×
2547812911112682758933613358750294371677324092689435735442275039900285465315508819061260922760235158117004216926138635734958975066027369<136> (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=1159700811 for P44 x P136 /
January 14, 2010 2010 年 1 月 14 日)
2×10197-9 = 1
(9
)1961
<198> = 11 × 24422549 × 3069053877636163811209
<22> × 17082856976752619130670684090199212230671
<41> × 26854367296513604675835702481280880891377811659523611436119
<59> × 528769478333804444847416808783697943132910903891502042324659821937809
<69> (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=239735945 for P41 /
January 14, 2010 2010 年 1 月 14 日) (Sinkiti Sibata / Msieve 1.40 gnfs for P59 x P69 /
April 19, 2010 2010 年 4 月 19 日)
2×10198-9 = 1
(9
)1971
<199> = 7 × 64713901797511
<14> × 9916372246526737433949447954712733233
<37> × 221732323856862038874417811361813951666598428478084976752113
<60> × 2007948363499887545182196224554388424747126941038187476977051557219292530860660641171527
<88> (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=1210903332 for P37 /
January 14, 2010 2010 年 1 月 14 日) (Eric Jeancolas / cado-nfs-3.0.0 for P60 x P88 /
February 16, 2021 2021 年 2 月 16 日)
2×10199-9 = 1
(9
)1981
<200> = 11 × 71 × 3779 × 315521 × 10482811 × 143821516351592394580709359859280268721600091163202892576070307242142395733197091701
<84> × 14245319069178042373931090567410412512986623427066985142218706877164593680840383483051804728367639
<98> (Bob Backstrom / Msieve 1.54 snfs for P84 x P98 /
April 4, 2021 2021 年 4 月 4 日)
2×10200-9 = 1
(9
)1991
<201> =
definitely prime number 素数
2×10201-9 = 1
(9
)2001
<202> = 11 × 409 × 1871 × 2909 × 336790674841
<12> × 3244163086531077487208990901611
<31> × 4571765097612453445128824423195761227323386452042021923764558292377609
<70> × 16351208238490276684560014282556306225471181172978793960926303321957629995098909
<80> (KTakahashi / GMP-ECM 6.4.3 B1=1000000, sigma=1390441919 for P31 /
March 8, 2013 2013 年 3 月 8 日) (Eric Jeancolas / cado-nfs-3.0.0 for P70 x P80 /
October 23, 2021 2021 年 10 月 23 日)
2×10202-9 = 1
(9
)2011
<203> = 31 × 167 × 842124260800708318921
<21> × 8853397177260157664437596726791
<31> × 52716702804577031543156836901206964129871816377726547217765084404463
<68> × 9829183987979135484782915269250851967275711218339010911079435846467551618087231
<79> (Makoto Kamada / GMP-ECM 6.4.3 B1=1e6, sigma=535802893 for P31 /
February 23, 2013 2013 年 2 月 23 日) (Eric Jeancolas / cado-nfs-3.0.0 for P68 x P79 /
October 25, 2021 2021 年 10 月 25 日)
2×10203-9 = 1
(9
)2021
<204> = 11 × 722843382432991169967599
<24> × 8729427021794967350001129593574543616086518389638441980842609793869592426380889921
<82> × 2881425282223829675400811462623614659148437017641525983352886271644312596381274304551270698443339
<97> (Bob Backstrom / Msieve 1.54 snfs for P82 x P97 /
October 7, 2021 2021 年 10 月 7 日)
2×10204-9 = 1
(9
)2031
<205> = 7 × 17 × 24645485910312924023
<20> ×
681939189604001404630800255124681083472683840899955527985269477931500894094674373396166898997199933393768116894772237768084229999370300682815053284146693281284779778039021517415103943<183>
2×10205-9 = 1
(9
)2041
<206> = 11 × 34501 × 94476979 × 5129181807998863178815609
<25> × 1967930595393639631055085991
<28> ×
55261384139925358283253046803391421804284767102785745090191326678403783118567263175824707830166524685414893241111851498217690069213098086581<140>
2×10206-9 = 1
(9
)2051
<207> = 97 × 433 × 465228289 × 147177469343078583361
<21> ×
69544520814211330639114623745811104039583633692644140738976886114415762118051185394808012889519232095238902785971883093588182421471066018741279429586904668508088438904539079<173>
2×10207-9 = 1
(9
)2061
<208> = 11 × 1021 × 1369685269339
<13> ×
130014198604056310143845095227159734338493304774941115108526522097011796011284172845153211580520499511155696441464023979623681060170435577832732220483219873191481178879480236203972568325170699<192>
2×10208-9 = 1
(9
)2071
<209> = 23 × 6687186001
<10> × 18231883519
<11> × 9338376714433695075785472954428535297500099305135857692621816289975155117398053582703
<85> ×
763758100512288783067572984714349512967622427737449591688777617591064147089491338781079303581836220481<102> (Bob Backstrom / YAFU for P85 x P102 /
September 17, 2024 2024 年 9 月 17 日)
2×10209-9 = 1
(9
)2081
<210> = 11 × 19 × 179 × 171276701 × 469891059509471
<15> × 60404812644435461
<17> × 12478316345262174390829
<23> × 2789898755629575621871650919
<28> × 216993443857412166372641692846793299
<36> × 925668330244820911500900823773834709
<36> × 157259616795220572837814985602302479659600711
<45> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=1805118727 for P36(2169...), YAFU 1.24 for P36(9256...) x P45 /
March 8, 2013 2013 年 3 月 8 日)
2×10210-9 = 1
(9
)2091
<211> = 7 × 18199 × 23497 × 64104769383436746781681921120199107750529
<41> × 23020401285715646909781218653759286571069463512000499940825894619799821209
<74> × 452760761559734510915475288734931223825567011828242474890481434540881266542956076589111
<87> (Dmitry Domanov / GMP-ECM B1=43000000, sigma=1753095681 for P41 /
March 17, 2014 2014 年 3 月 17 日) (ebina / Msieve 1.54 snfs for P74 x P87 /
October 23, 2023 2023 年 10 月 23 日)
2×10211-9 = 1
(9
)2101
<212> = 11 × 29 × 11959 × 80021 × 74470126831
<11> ×
879748183726289797435873811980335358714662880086795292522335050470163523101540404702532739197073116509683701312012510143771002276792864576967165644884288234853964301077697827687651314026221<189>
2×10212-9 = 1
(9
)2111
<213> = 5113 × 7457 × 194131859195809
<15> ×
[27020491595037199550639372128410079953642827089942902673049366178349288606470056422087960166317205094817056567344313530055064328058950027773154352400593475083092135095510725356629913987720239<191>]
Free to factor
2×10213-9 = 1
(9
)2121
<214> = 11 × 59 ×
3081664098613251155624036979969183359013867488443759630200308166409861325115562403697996918335901386748844375963020030816640986132511556240369799691833590138674884437596302003081664098613251155624036979969183359<211>
2×10214-9 = 1
(9
)2131
<215> = 5125496007375122969
<19> ×
[3902061375371635744920865864792928737667071213800851198818345099058439885889193889581197050208460575228726385407318161279638381935268808594369079313768657528879549590218322867251541957514982941839<196>]
Free to factor
2×10215-9 = 1
(9
)2141
<216> = 11
2 × 132331 × 6633768749
<10> × 222892719412951137019
<21> ×
[8447473148715487227144656642593223865424644227596516734273370067284917322427547890594132066584621218015586080776947920949080604993124559844621749955002168596552650942547575747411<178>]
Free to factor
2×10216-9 = 1
(9
)2151
<217> = 7 × 12647 × 12992591 × 356203343 × 24711961721
<11> × 7264013725469096067635050807
<28> ×
27193605947855852260880374839621817397353472785976502386521819866758254996876452238008137280920743505957311244773891474368059859978052104136259204242591852889<158>
2×10217-9 = 1
(9
)2161
<218> = 11 × 31 × 61 × 2153662504628927316931561199
<28> ×
446445176012319679347174589667086154695852094080642810416926557631890251905242963602285848248890223102426073374074831333327615876583339776454496081389831708865236742455245742034017943609<186>
2×10218-9 = 1
(9
)2171
<219> = 113
2 × 233 × 324871 × 491417777 × 2941179668256203714255075871930181789195289
<43> ×
143164000073411497891367589140881189535229032454305904846210538096602274803014713539144458013862829859495619336298413007451369201428716402106759934995288641<156> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=2211067922 for P43 x P156 /
April 15, 2013 2013 年 4 月 15 日)
2×10219-9 = 1
(9
)2181
<220> = 11 × 291997726947001
<15> × 128412277334858385842197759
<27> × 587105946232194567013096946501
<30> × 1763429319191019510804130988496115764979584303123464612245453609
<64> × 4683567196849420048234151596946304785263459662863981992298080079468044222529092673951
<85> (KTakahashi / GMP-ECM 6.4.3 B1=1000000, sigma=3072749348 for P30 /
March 8, 2013 2013 年 3 月 8 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P64 x P85 /
August 27, 2017 2017 年 8 月 27 日)
2×10220-9 = 1
(9
)2191
<221> = 17 × 3943 × 6833679863
<10> × 10715495283825654261551387374647168956076522551
<47> ×
4074622867141723736181513733049401409020197941468298865885323797945429434531594617264588577454341215783748463408083904488316281880637729667811987019601324306897<160> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P47 x P160 /
April 10, 2018 2018 年 4 月 10 日)
2×10221-9 = 1
(9
)2201
<222> = 11 × 3581 × 15325319 × 111061651 × 2461869315302994982735271
<25> × 224697406399358704466742598183826192046726918130629450484046129
<63> ×
5392576144472630289810296939170924223707010194667322782801643955117856467314106499318264515846067180240158141710931<115> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P63 x P115 /
April 29, 2020 2020 年 4 月 29 日)
2×10222-9 = 1
(9
)2211
<223> = 7 × 449 × 2311 × 1419511 ×
193975512006623474551862809092551851862331462584850976811311741194622370397939279346203578226448889106253729758919600529367699545968580423948990633779397767241540602552423317920953071054409132152408985273191697<210>
2×10223-9 = 1
(9
)2221
<224> = 11 × 139 × 980528892933915049481
<21> ×
[13340193062523635509280857796662056793491295302269776689609303284754911703117306698221494867602355498339123455501873979142601489994034349709133842260816934562227435972776285974006503336110114979205559<200>]
Free to factor
2×10224-9 = 1
(9
)2231
<225> = 524251588504841
<15> ×
381496221252085298722788047534705720900041659301758888857081994743527355212671108717900354369067675957074078337660209849354394324585390125288446553564383964158832142917783631276751027795863795030618630864209151<210>
2×10225-9 = 1
(9
)2241
<226> = 11 × 22369 × 16740431 ×
485538984677961519946676600599158296743856560546811910841953654232517795131669098150456703369067708871631225591470051752650995164092822786884321906982306722673074793995987112392070034646127552021292294529951859979<213>
2×10226-9 = 1
(9
)2251
<227> = 991 × 38182943 × 11524975961
<11> × 62137860767
<11> × 1492618885134473
<16> × 2029281705655495885794218915499002209
<37> × 28138658106358942587941875914521998015058541156210935870117021368319657
<71> × 8659562701813875885718374798593408288091495040384391079269417206407813889
<73> (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=3222769883 for P37 /
March 8, 2013 2013 年 3 月 8 日) (Robert Balfour / CADO-NFS for P71 x P73 /
March 25, 2020 2020 年 3 月 25 日)
2×10227-9 = 1
(9
)2261
<228> = 11 × 19 × 89 × 213949 × 49355733259555835867328986447110774070521
<41> ×
1018229871231772666543011776457842198325818305317308611504154303826769571758983146441805108479147024769408485761516072557760930780184968296432041095431026185217072400533159804579<178> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=3744638015 for P41 x P178 /
April 22, 2013 2013 年 4 月 22 日)
2×10228-9 = 1
(9
)2271
<229> = 7 × 67079 × 27649389631
<11> × 14953532387089
<14> × 7621123414713403493595817
<25> × 21862144647452648628754324490351
<32> × 232777414945570927129146899543094866460759970481
<48> × 265621627235735765223488265754097391375294230951839331294306239549076699946655228380622537914079
<96> (Makoto Kamada / GMP-ECM 6.4.3 B1=1e6, sigma=2677535880 for P32 /
February 23, 2013 2013 年 2 月 23 日) (Erik Branger / GGNFS, Msieve gnfs for P48 x P96 /
November 5, 2017 2017 年 11 月 5 日)
2×10229-9 = 1
(9
)2281
<230> = 11 × 29443513651
<11> × 83612742449947707619177722086883671291
<38> ×
[738542014700266737459722948903430850950926246705546080521181866619298591684930386654230684982373799692282841663296033515491609182813190646042337756388452948679255433291455744323141<180>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=985093159 for P38 /
March 12, 2013 2013 年 3 月 12 日)
Free to factor
2×10230-9 = 1
(9
)2291
<231> = 23 × 25673 × 179369 × 16937339857
<11> × 842668317324842426444256289
<27> × 12726696096034447280977151199991
<32> ×
10395864511535000750036540704178935427985278945404095869106914987504340458949073593800482203951072775008262450997048357574813437685227276099381159244487<152> (Makoto Kamada / GMP-ECM 6.4.3 B1=1e6, sigma=2079365318 for P32 x P152 /
February 23, 2013 2013 年 2 月 23 日)
2×10231-9 = 1
(9
)2301
<232> = 11 × 1171 × 4336139609
<10> ×
[35807760399877191799035887691222591262449831925530904039525935109583249625948656331426718547427746760817505738029336740400457675513251113149379608649141789427927729281486923326660479257192201620174196777862765579662879<218>]
Free to factor
2×10232-9 = 1
(9
)2311
<233> = 31 × 7103 ×
[90829408745963768148851235052885423242337404004668631609542537682850953481718310754656142565839967664730486436898539008960321172789325727884174337967147002856584905060560508281371342413246560971511355946828464120112810125662487<227>]
Free to factor
2×10233-9 = 1
(9
)2321
<234> = 11 × 359 × 13859 × 1782287929859
<13> ×
[2050374071403966081792244116314643020503391832986952696296060790469936441251164251256337156481865382277768837542156938982426617616265363389172027815186076237639803244732471594869470911187358651929904737859400687739<214>]
Free to factor
2×10234-9 = 1
(9
)2331
<235> = 7
2 × 71 ×
[574877838459327392929002586950273066973268180511641276228801379706812302385743029606208680655360735843633227939062949123311296349525725783271054900833572865766024719747053751077895947111238861741879850531762000574877838459327392929<231>]
Free to factor
2×10235-9 = 1
(9
)2341
<236> = 11 × 4231 × 52701936412020105945433619
<26> ×
8153943775668070754613857920847454014671838749663844086503175695681914634585745478524828758517649571407271845601015548835430779018187239503152889418805888453034680885378180791859353609402056557080224254529<205>
2×10236-9 = 1
(9
)2351
<237> = 17 × 47 × 809 × 138516311711
<12> × 20249123156459507263
<20> × 16509792015242501180521
<23> ×
[6681684295692350573871201660739767375316809829479364006101107817367240075495441827499734253815748550300991692954764872270982814049639243938052741869687447140252726822989730924217<178>]
Free to factor
2×10237-9 = 1
(9
)2361
<238> = 11
2 × 192271 × 264761251 × 115792347481
<12> × 454176619499
<12> × 6709809624562729291
<19> × 75870342686722243940865708418671161
<35> ×
12128009818557011040474758012831596650793206563110990869340025174803497576202785043087556119199386274175687178670547167774647774786292307032260979<146> (Makoto Kamada / GMP-ECM 6.4.3 B1=1e6, sigma=3849124566 for P35 x P146 /
February 24, 2013 2013 年 2 月 24 日)
2×10238-9 = 1
(9
)2371
<239> = 69263 × 3177809 ×
[90865894598114589213853492814917344070209810342473719072214586278727444968688383650455956610609624012475898195882127033566954540365892004954157757114958588471863732933797130003333330338287437169112005823972714412040269211136073<227>]
Free to factor
2×10239-9 = 1
(9
)2381
<240> = 11 × 29 × 1129 × 469612421 × 745129424382149
<15> ×
[1586989604211293719256393061868902054281317326541957631547618146925342000761304182939828812915912315130898474358317595428610817432820115267330006686703314259747406820634360631973978530605837328954148732709584329<211>]
Free to factor
2×10240-9 = 1
(9
)2391
<241> = 7 ×
285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285714285713<240>
2×10241-9 = 1
(9
)2401
<242> = 11 × 349 × 304771 × 93734266231
<11> × 1471254785401
<13> × 73840807917265651
<17> × 9330299401088090082419381
<25> × 423052294565063818989209209
<27> × 772059816355857820858864679
<27> × 873870402323341186158674119921819
<33> × 630329912016843287920050857950107178395080345561250290567010329520494515121200711
<81> (Makoto Kamada / GMP-ECM 6.4.3 B1=1e6, sigma=1653429595 for P33 x P81 /
February 24, 2013 2013 年 2 月 24 日)
2×10242-9 = 1
(9
)2411
<243> = 367 × 2089 × 55681 × 8640887 ×
[542200781636152375697917357160244885208982443376772500767620870435426981448720442377628460950319587737827925114356544698277803032734738702036128949581999850907360305461451405217869982518410631917571602023446963494367575735031<225>]
Free to factor
2×10243-9 = 1
(9
)2421
<244> = 11 × 579566051 ×
313714341108261046473576454908988135645333342373744072497127996577877226597280767603452704964974185173903186716880664596038973617897749877316085551426099349255738552253782404832090797910076030629713647285703106481332154181304553640631<234>
2×10244-9 = 1
(9
)2431
<245> = 178681 × 1056481 × 1411365834585499640863
<22> ×
75067219559759552114944199240002535137402423917105321547232473745026850857336652373386749186062194721966902540422840488666939766323276407166155629030634853566901145199984672399344419210465118398803498696275369937<212>
2×10245-9 = 1
(9
)2441
<246> = 11 × 19 × 1121179553161615656525233026602389
<34> ×
[853509856065954892791450465242003365556625174792592845194852266582146061652624839098609282178176257019876678419181170264627726312888244870313415872806694265695018945410736404889843774715430144254841370787683691<210>] (KTakahashi / GMP-ECM 6.4.3 B1=1000000, sigma=1118666610 for P34 /
March 8, 2013 2013 年 3 月 8 日)
Free to factor
2×10246-9 = 1
(9
)2451
<247> = 7 × 607 × 33870311327
<11> ×
[13897096588597170589922902162273587959247121466827309875950342328819242888206475924915199880370841311217937441530763328015844048748530490449638099523109014265365985566549847711459998328243015395105968262006080191613009254405866281617<233>]
Free to factor
2×10247-9 = 1
(9
)2461
<248> = 11 × 31 × 37878459991
<11> ×
1548400500096822345304322717655299489084050863699033760825317673908977609624510376905380352073433016063028274576417025698679520172707062493755240768073882041114076449962842539650388149567851657854820332327876134605311609933711173111261<235>
2×10248-9 = 1
(9
)2471
<249> = 983 × 219703769 × 404861470920204441079
<21> × 31154558996803410256841018564527
<32> ×
[73419414006257883306928527139956241706530545679838251648298358964776109815168325979328191393299261043368539465660172592849686184201910068717889788451272100227483009016068420334633065201<185>] (Warut Roonguthai / GMP-ECM 6.3 B1=1000000, sigma=3351234005 for P32 /
March 8, 2013 2013 年 3 月 8 日)
Free to factor
2×10249-9 = 1
(9
)2481
<250> = 11 × 2699 × 166446777059
<12> × 2796132883591
<13> × 1186656896729788030226845245557932895809
<40> × 17249651805609900313140937875873892656269
<41> × 27702959464879963162109317423046198060749
<41> × 594462149213050964205884891166673538623249
<42> × 429383502452797800283861528254208060163917424733094624319531
<60> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3989451853 for P40, B1=3000000, sigma=3857853388 for P41(2770...) /
March 13, 2013 2013 年 3 月 13 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1078907450 for P41(1724...), Msieve 1.50 gnfs for P42 x P60 /
March 27, 2013 2013 年 3 月 27 日)
2×10250-9 = 1
(9
)2491
<251> = 2543 × 13171079344375766257
<20> × 85278490159880029079594718311362273
<35> ×
[7002010647500233894961094521060434564973766360115262045842386600910571941754951224197352039408668660352822470833468741726325288609709053617284094317157721301633952077261193920920031715479448617<193>] (KTakahashi / GMP-ECM 6.4.3 B1=1000000, sigma=3306969877 for P35 /
March 8, 2013 2013 年 3 月 8 日)
Free to factor
2×10251-9 = 1
(9
)2501
<252> = 11 × 3479550778619
<13> × 434127710531353409
<18> × 9471996598096448989
<19> ×
[1270735288406997147462761946385157011326986768173809549808692874815957704176926728539832956882172826851214224267903294286965674967541420263658243699947084820864232951683672732035364083005626732879970699<202>]
Free to factor
2×10252-9 = 1
(9
)2511
<253> = 7 × 17 × 23 × 2801 × 5569 × 69031 × 6437329607927
<13> ×
[105418045543912644605647256608094957319644839840839255469744737596895844729054658307289307123287528514416561353403959666055085047082947719866282150448202620002023057461845236469950211763714700116117506748402521326648981850231<225>]
Free to factor
2×10253-9 = 1
(9
)2521
<254> = 11 × 2861 × 146047441 × 6418052236286452639
<19> ×
677988384430458787830340882824964629374923394530590759145705122694684397786888383770941426990707460432059126469793491634644239656761484317517870250762172958282657543769586371815109565522946589047688817032784186478913345079<222>
2×10254-9 = 1
(9
)2531
<255> = 449 × 354031 × 1653448463861271791768367734608857167
<37> × 20334292653330078457898777272167556873
<38> ×
[37421623947027132897210729680572240068509381546126060412601661240912591900144520595914578956988961448962411384175895508330091596150017002514755038724832579252133755474148479<173>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=1346847334 for P38 /
January 3, 2016 2016 年 1 月 3 日) (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=56109252 for P37 /
April 3, 2017 2017 年 4 月 3 日)
Free to factor
2×10255-9 = 1
(9
)2541
<256> = 11 × 9419449909
<10> × 3583937936941
<13> × 3936234234259
<13> × 126985727337543105060894659
<27> × 701518139464301201735603534389
<30> ×
15359480924760300113244204589288451765747744672842035510135941307506756142314010619194229898374697566708033513294628480477333286880276107158204106028154865010031561<164> (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=4119460737 for P30 x P164 /
January 3, 2016 2016 年 1 月 3 日)
2×10256-9 = 1
(9
)2551
<257> = 151 × 199 × 223 × 487 × 9929 × 11433625562699084002500881
<26> ×
[53985443248521204543481246597193045469654235264114338866169785725971295213722388415705822235181743107560241768441378812679762848917534026321529477085436651400636435842096033617937124797319175732352928000050497772692391<218>]
Free to factor
2×10257-9 = 1
(9
)2561
<258> = 11 × 1687683839
<10> ×
10773237120402491344933604108428143701731458116912252910529777361823858655899482238164740652103748788589414120817339995763378177482102547892076969862966248276186650254353820246649774420111740975308242068091630175396742767421962507861532104069749179<248>
2×10258-9 = 1
(9
)2571
<259> = 7 × 569 × 1399 × 67273 × 15350826363552752506514202090047017
<35> ×
[347559705228016422973215656545677177907601564318713720558782349307797786582371155225540622932683166276299353344423806506212968264130043266858532429705713658003250665522820255897882673085150647401051027673884419103<213>] (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=392809040 for P35 /
January 3, 2016 2016 年 1 月 3 日)
Free to factor
2×10259-9 = 1
(9
)2581
<260> = 11
2 ×
[165289256198347107438016528925619834710743801652892561983471074380165289256198347107438016528925619834710743801652892561983471074380165289256198347107438016528925619834710743801652892561983471074380165289256198347107438016528925619834710743801652892561983471<258>]
Free to factor
2×10260-9 = 1
(9
)2591
<261> = 64183921 × 784668634433
<12> × 10752149730337455534186481475497
<32> ×
[369336436425916207885973250699379218705847119268347217376326741678389076230815160947573060707129188929013022071324485186106728324213404985202241074980428266595651887069305951469911758869860776892442470957467471<210>] (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=2750592195 for P32 /
January 3, 2016 2016 年 1 月 3 日)
Free to factor
2×10261-9 = 1
(9
)2601
<262> = 11 × 149 × 2671 × 14731 × 22811 ×
[1359566954268198523363938087519273204877651503652803999264784371771680069036358397387780445475460800028836891680453332728030389193758682741453389076629820872475492403967360114157873503209270125271431823879735300980285826584053706207401018404860679<247>]
Free to factor
2×10262-9 = 1
(9
)2611
<263> = 31 × 6664753 × 33205956919
<11> × 302399086562383
<15> ×
[9640238264789281228505954077997726963105534051424596036589373702609437236231423725659130042158407054149634740637101908857482966860506782090714912854461650475589882645895868490744133277551835475226805739260791410059738257771646081<229>]
Free to factor
2×10263-9 = 1
(9
)2621
<264> = 11 × 19 × 334330410011042651
<18> × 922116385565207219
<18> × 39342206138861604053894048521182809
<35> ×
78897525007002763405113174315057366900952737584003113661896841415801287132227676009375664159476457154281576145997303451260190374016123190279810828902090878766699583227801241896321799374918719<191> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=766980720 for P35 x P191 /
January 4, 2016 2016 年 1 月 4 日)
2×10264-9 = 1
(9
)2631
<265> = 7 × 31271 × 5651863840077911
<16> × 181376534143927438439961518553578163439
<39> ×
[8912866397740866047966769631312252895197276745374456406463992262745847277183619958329145396144893039122525228666099111873106106854938389633459032443713743945329547575551533718752813667579624556265365340607<205>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=2273066438 for P39 /
August 12, 2016 2016 年 8 月 12 日)
Free to factor
2×10265-9 = 1
(9
)2641
<266> = 11 × 173429 × 85518997384056450449159
<23> × 440538337932835334200971885532314841
<36> × 255528239767038244756928354591633703783019
<42> ×
1089006263704776347153460561204591640159923219694222261727328110076120356793753601889393048089264075471835910248292886450731394040973022627434103876990989074749<160> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=890808902 for P36 /
January 4, 2016 2016 年 1 月 4 日) (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=1964691542 for P42 x P160 /
April 2, 2017 2017 年 4 月 2 日)
2×10266-9 = 1
(9
)2651
<267> = 4622408794902407
<16> ×
[43267484308302637606957949575287584916621603406837549542453113338820701748443157491382328738636902755501483345247411477398924131355152720271540461931268986411933809543320552693514266017879999677415584964184895114498348142942480120976445455739155204113<251>]
Free to factor
2×10267-9 = 1
(9
)2661
<268> = 11 × 29 × 9857209 ×
[636041345627248870665737553157994240321870300337206446577595739804734817140598463723988158562579836565620769956346361251714243131226761492027073375918567850405896987880268095408800709025563538746173177341339612746500212628144812180077026903064717552606043921<258>]
Free to factor
2×10268-9 = 1
(9
)2671
<269> = 17 × 1831676627311
<13> × 44588204437222463730384574559564152831
<38> ×
[14404967634934445974752362587561000149181450606591082149586762425422889889819127011402351328984201320680136248082301724606807316049891089702257182735991655590084271716152515519979931984467581881721711104457882999396503<218>] (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=426321629 for P38 /
April 2, 2017 2017 年 4 月 2 日)
Free to factor
2×10269-9 = 1
(9
)2681
<270> = 11 × 71 × 139 × 4633199622217279
<16> × 3673340270406636896404847401
<28> ×
[108248525490368228569256491374188291681740598369289885016863947069938759247104026428167579040699604626242179409129290926446728282451576230502681547390956339928317543155066570924380309688809474205004118999357545772971418831<222>]
Free to factor
2×10270-9 = 1
(9
)2691
<271> = 7 × 300176549781749384010709969711
<30> ×
951820806528761795756661862318094874357966547078573823776067287281851512393983512773791575073732645369191631368883570215506607471544446233814315738796161260238523740898422454942576966899509190570770818354191371626336489266475020888154782783<240> (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=1828521062 for P30 x P240 /
January 4, 2016 2016 年 1 月 4 日)
2×10271-9 = 1
(9
)2701
<272> = 11 × 59 × 89 × 2450009 × 1182429877859735774079630829
<28> ×
119523201500793948527674534090914971306763109162702840258747843941556387069245067069221647832992144795855456532038896426944841621329411057020914120551770788807011597650022640926377718933661239959176603339874115703772815342568025053771<234>
2×10272-9 = 1
(9
)2711
<273> = 2753 × 11421199 × 56804159 ×
[111977805281966630603635195742694808826276883265444379712565911066119303364205610204131925158567936078236746136505444956063655340706165024399514463367901550434229037940833030240102540929307402201983676850604824671185339405555361635350194819800096050363367<255>]
Free to factor
2×10273-9 = 1
(9
)2721
<274> = 11 × 379 × 22739 × 657445181 ×
[32089813456592198533977501143202386691802484820642938623386798724329170783372706208189980629420010469722721897890201150722637457433954726755472410071578407379156341607261144831416683971878315800276701439244238045155319480040545959322707066614761205388309321<257>]
Free to factor
2×10274-9 = 1
(9
)2731
<275> = 23 × 72953 ×
11919526508728967250504940941726030875149515560643868982948521352937775899790156735813826531554860514720913226442992778554864686555191281581530455284194290665997583911976680638338322648471112133541607193195857487757156334721759512825112535229650537362053829773666070889<269>
2×10275-9 = 1
(9
)2741
<276> = 11 × 1229 × 2741 × 14419 × 9331515058239601891
<19> × 375371203915038209221914289
<27> ×
[106863190368292113107022518944706220107847985325413306944165534070548104417215875104276744506702119760264126851197544012527215041825302928758459080467374517435804096439699240743555886657214206943663394726230321692032109<219>]
Free to factor
2×10276-9 = 1
(9
)2751
<277> = 7
4 × 3572377 × 3749959 × 100039046510106553
<18> ×
621562046391327781485236682416069729656488096617848120257632062764638376513239357563888476860720560224358992389008021689528168122831333369859394072597608607754141530640939041206624762654658389500555894675110490155419118635456999820802935042529<243>
2×10277-9 = 1
(9
)2761
<278> = 11 × 31 × 61 × 1049 × 2729 × 8656987323900911
<16> ×
38797163603269008861840704176698202186758028401979719960245863357591331925989877664254499128120290467122221534489908153908628440967734135752247086808239216831700066907376035984367079365880850660743354002016236427559648664023927852741544175822082853561<251>
2×10278-9 = 1
(9
)2771
<279> = 2578323914304679
<16> ×
77569772707916682349448453798288896662341990461720669859990837453686919352464309144444652098192402618104420592485170285823990849617288346622166963246614324271820252874242269148238889459481514702490802550869799196845032423844808029087453026084628674574501665991729<263>
2×10279-9 = 1
(9
)2781
<280> = 11 × 585694036259
<12> × 786490671059894220121891708130099651
<36> × 47195812448489109345659636640323209151
<38> ×
[8363141913561617862857864576766178538724767154188272111377304892946759235669359319501111990873938666396194892553523172439741475874539621331011484790467567010260502225755735425669480119421075459<193>] (KTakahashi / GMP-ECM 6.4.4 B1=1000000, sigma=693823286 for P36 /
January 18, 2016 2016 年 1 月 18 日) (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=3626901239 for P38 /
April 2, 2017 2017 年 4 月 2 日)
Free to factor
2×10280-9 = 1
(9
)2791
<281> = 719 × 40390295291150316130355729239063
<32> ×
688690475827929879238415246685092101374123730362160882562857597595142894167021900554972883431737169464985276009726218657854850951315237050276711151233030621040918049128689262583641369659423920623879654707526011301958782465273252785601154715116303<246> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=3354912037 for P32 x P246 /
January 5, 2016 2016 年 1 月 5 日)
2×10281-9 = 1
(9
)2801
<282> = 11
2 × 19 × 1282031 × 7054809522983242966333083239
<28> ×
[9618496808174956865098855220504230194879079466704690398458549120738387668931162564210615290601062638945969410235674557156721957945583470305368185403278786845662139456286806399636701346992729834817219832451584055933091073545460043048959069574701<244>]
Free to factor
2×10282-9 = 1
(9
)2811
<283> = 7 × 47 × 9161 × 274081 × 81733135731857
<14> × 156826077774521
<15> × 11082453446713001558366975510255201
<35> ×
17043544807155358749335810758859705084041447801183270506147065596120315931349414784507810014937936569478211073812085911586146711948386971179438259475644052381879609710164528789312818918579581137020965414349327<209> (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=3457518148 for P35 x P209 /
January 5, 2016 2016 年 1 月 5 日)
2×10283-9 = 1
(9
)2821
<284> = 11 × 11436899 ×
158975069919024219923440944803466235193489233242491533921754648544314169585495318108677726525186750200541089137727090025173622834142525712766911889156476609771423339331913150742887719667876596778390874850063656400059300880581194414515841941230588975051875353784114191983492919<276>
2×10284-9 = 1
(9
)2831
<285> = 17 × 223125019548577
<15> × 34177366217590244071
<20> × 408172614501710440917234632822958168913
<39> ×
3779639225709002256008119838674781599801379546411613844476933255227134229001516838595851658439623662873776898211463474624888867094120859542436084314410169706666760667833952305869483318679787539613294922839654513<211> (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=563419499 for P39 x P211 /
April 1, 2017 2017 年 4 月 1 日)
2×10285-9 = 1
(9
)2841
<286> = 11 ×
[181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181818181<285>]
Free to factor
2×10286-9 = 1
(9
)2851
<287> = 449 × 1319 × 340903 × 610271 × 1168039 × 4402954231223333297
<19> ×
31563400673045295263863433988414310210224344473390465421098441075631573751974481752730464849453538316063588982404086966606970901733914353785748343201326902577750934399271288555319147359501014018780140886118509061394634982777511906889758208222159<245>
2×10287-9 = 1
(9
)2861
<288> = 11 × 109 × 191 × 221989 ×
[3934105394751703444626328560037497678508257070975479528136563838767847241953458725862319291253006661365872597168348712170926542303990480883111013577758062003783628577935173166544748284782769818178714408708046409266214686164025834763335877484606423362890121143224312778751420091<277>]
Free to factor
2×10288-9 = 1
(9
)2871
<289> = 7 × 742838020907687
<15> × 3571748270128343
<16> × 5161450180596084997182863
<25> ×
[20863407876096062245370164763338799314202683894676621862525526254887551721307795856234066019555163460090305776143176679761505287991313799830247005908970981513010331632483532539382269411663958385204852264864264663105792222025060026911<233>]
Free to factor
2×10289-9 = 1
(9
)2881
<290> = 11 × 132151 × 179360039 × 1655037869610109
<16> × 339796914837353671
<18> × 309856047284156248609
<21> × 10474541799871706797789
<23> × 1862887011933096493737922871
<28> × 1068547046434004356085517506377150031624260247322035574385299046331
<67> ×
21112449628504538840408730517270658644489729377014703025471461506552657267386246745899445476966340925659111<107> (Jason Parker-Burlingham / CADO-NFS 3.0.0-dev for P67 x P107 /
July 17, 2019 2019 年 7 月 17 日)
2×10290-9 = 1
(9
)2891
<291> = 7079 × 937943 × 108363613659104859450826605721009
<33> ×
277970147504092593147260198465280772647454878134673618726060775486789146622975697958098312688905566704093381638502602420142864038691211474526209145849107791460386259281533964566044085268733353691727214912582324889437362734633762836141381761905560167<249> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=516802799 for P33 x P249 /
January 5, 2016 2016 年 1 月 5 日)
2×10291-9 = 1
(9
)2901
<292> = 11 × 80586301189
<11> × 82436786869203409
<17> ×
[27368754369362303011873248004420190784880914061468369772632021766648551191221783146854658019120548489971955852650126270709810398181317903342020100332603256136747565186370584993194160607154284644064133882466052437732872941833629348815383007089173886992191707360881<263>]
Free to factor
2×10292-9 = 1
(9
)2911
<293> = 31 × 366521 × 794023 × 764014703 × 17248534783
<11> × 70864818887
<11> × 1948394423089
<13> × 15546105351487
<14> ×
[78370616916986418193670918983956346747390686079389966668047541113298907181198987048207305462383319601783969175305257482076693809281576665165870979744116559887470884561267161562931498646935056424140593553084698831608428852063<224>]
Free to factor
2×10293-9 = 1
(9
)2921
<294> = 11 × 803729 × 1113401 × 10835333140274411
<17> ×
1875140423097031903302298890663309938156005050475998290790156528883980947898603303276397410270795585475159192488401237111134291320370858330210075115052510913880120609801872349886062104140529374830237721583718275246768290142976528870333784964448015427831820612440599<265>
2×10294-9 = 1
(9
)2931
<295> = 7 × 2663 × 7559 × 125641 × 1363489 × 110638585460240037999677689897
<30> ×
[748870643815706531203720030776092178701178119690704725873169049181682826951130424570303039528278820553094150528586309118932782905164128846396866284044843815446450617935730579314695195275582024006235139099043054916169206316144634519776866579324913<246>] (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=284310333 for P30 /
January 5, 2016 2016 年 1 月 5 日)
Free to factor
2×10295-9 = 1
(9
)2941
<296> = 11 × 29 × 479 × 447469363521059399993792381
<27> ×
[292509848543355357576368193049005039234682827937152143563823182267982958965959888355302987336465312737285403510698120717407705831449531423565017120953710220407823840236355898351891267987943348791756337776683951018158899134972485231296862543379444381975189689079011<264>]
Free to factor
2×10296-9 = 1
(9
)2951
<297> = 23 × 1500898521839
<13> × 3461188108129
<13> × 182424328340719279728653534822689313
<36> × 15733159088611012458258732031016608991
<38> × 241266318091160506009346817765229924264153216438847
<51> ×
2417298264291629073059405689900752859062131460731202611780379874748487275435903860466868667744889036463985426462233537412974245119832624094802422607<148> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=2421418283 for P36 /
January 5, 2016 2016 年 1 月 5 日) (Cyp / GMP-ECM 6.4.4 B1=11000000, sigma=986272515 for P38 /
April 1, 2017 2017 年 4 月 1 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1776300619 for P51 x P148 /
April 4, 2017 2017 年 4 月 4 日)
2×10297-9 = 1
(9
)2961
<298> = 11 × 6221 × 4021468606549268990149
<22> × 70790058192958480233691
<23> × 6208669870220788584938325313331
<31> ×
16535662100820857887831410039339185445719409444185614719323677936388316909733728104411452368814335522758714796744833221790953896034715942189419181082056485078881371516964532183143274568805546591537272466291581612379109<218> (Makoto Kamada / GMP-ECM 6.4.4 B1=25e4, sigma=775124140 for P31 x P218 /
January 6, 2016 2016 年 1 月 6 日)
2×10298-9 = 1
(9
)2971
<299> = 4601127202861774463
<19> × 1122400976708521425147599
<25> × 47492189663501875031533687
<26> × 3375159998549829799576944166951
<31> × 927386998343108617526569637695650205703
<39> ×
[26051945324820768022769051561424555859392668686806684077528855636251137069115679643692747826733500155652667440986752851589738165596062584614392848589051823371713<161>] (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=82741410 for P31 /
January 6, 2016 2016 年 1 月 6 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=26081982 for P39 /
January 18, 2016 2016 年 1 月 18 日)
Free to factor
2×10299-9 = 1
(9
)2981
<300> = 11 × 19 × 131 × 91331188914514166086915750148288352458019389
<44> ×
[79982192083610693268830657361526890003540951052587911453259382997378522968048407505366803899295110813194414661526724727730215962879702332728672507860994979845306074861135671443001075798685797063024745931425972330693311059885459636873442977006004731761<251>] (Markus Tervooren / GMP-ECM 6.4.4 B1=43000000, sigma=3914020616 for P44 /
January 22, 2016 2016 年 1 月 22 日)
Free to factor
2×10300-9 = 1
(9
)2991
<301> = 7 × 17 × 253321 × 2715487 × 480856246517384364439
<21> × 246686635936416232016946462606733391
<36> ×
205969648511358802550356092907539098757808461832709882908212534676571535784095579548409117347831130039122817219331638922290430171511836255644966758351985556465263468041611227114608166559550129222958275864726084690624711581159455743<231> (Makoto Kamada / GMP-ECM 6.4.4 B1=1e6, sigma=3305585675 for P36 x P231 /
January 6, 2016 2016 年 1 月 6 日)