90w2 = { 92, 902, 9002, 90002, 900002, 9000002, 90000002, 900000002, 9000000002, 90000000002, … }
9×106+2 = 9000002 = 2 × 11 × 313 × 1307
9×107+2 = 90000002 = 2 × 41 × 347 × 3163
9×108+2 = 900000002 = 2 × 11 × 619 × 66089
9×109+2 = 9000000002
<10> = 2 × 7 × 642857143
9×1010+2 = 90000000002
<11> = 2 × 11 × 433 × 9447827
9×1011+2 = 900000000002
<12> = 2 × 83 × 5421686747
<10>
9×1012+2 = 9000000000002
<13> = 2 × 11 × 17 × 41 × 586931003
9×1013+2 = 90000000000002
<14> = 2 × 43 × 1046511627907
<13>
9×1014+2 = 900000000000002
<15> = 2 × 11 × 787 × 51981055793
<11>
9×1015+2 = 9000000000000002
<16> = 2 × 7 × 89 × 7223113964687
<13>
9×1016+2 = 90000000000000002
<17> = 2 × 11
3 × 19 × 128819 × 13813411
9×1017+2 = 900000000000000002
<18> = 2 × 41 × 47 × 3041 × 76791717143
<11>
9×1018+2 = 9000000000000000002
<19> = 2 × 11 × 449 × 911115610447459
<15>
9×1019+2 = 90000000000000000002
<20> = 2 × 16981 × 2650020611271421
<16>
9×1020+2 = 900000000000000000002
<21> = 2 × 11 × 40909090909090909091
<20>
9×1021+2 = 9000000000000000000002
<22> = 2 × 7 × 28087 × 22888067179020289
<17>
9×1022+2 = 90000000000000000000002
<23> = 2 × 11 × 41 × 67 × 11613571 × 128231697043
<12>
9×1023+2 = 900000000000000000000002
<24> = 2 × 23 × 19565217391304347826087
<23>
9×1024+2 = 9000000000000000000000002
<25> = 2 × 11 × 409090909090909090909091
<24>
9×1025+2 = 90000000000000000000000002
<26> = 2 × 48121 × 935142661208204318281
<21>
9×1026+2 = 900000000000000000000000002
<27> = 2 × 11 × 131 × 312283136710617626648161
<24>
9×1027+2 = 9000000000000000000000000002
<28> = 2 × 7 × 29 × 41 × 540670431334855220473387
<24>
9×1028+2 = 90000000000000000000000000002
<29> = 2 × 11 × 17 × 240641711229946524064171123
<27>
9×1029+2 = 900000000000000000000000000002
<30> = 2 × 1103 × 629767 × 1029090481
<10> × 629511314921
<12>
9×1030+2 = 9000000000000000000000000000002
<31> = 2 × 11 × 139 × 40787 × 8319409003
<10> × 8673428239129
<13>
9×1031+2 = 90000000000000000000000000000002
<32> = 2 × 22447 × 28789 × 882367 × 78918417878060941
<17>
9×1032+2 = 900000000000000000000000000000002
<33> = 2 × 11 × 41 × 5844809 × 170712628094395945275539
<24>
9×1033+2 = 9000000000000000000000000000000002
<34> = 2 × 7 × 163 × 32141 × 66047 × 50488583 × 36797745100121
<14>
9×1034+2 = 90000000000000000000000000000000002
<35> = 2 × 11 × 19 × 43 × 97 × 257 × 10169 × 288833 × 3886321 × 17596617211
<11>
9×1035+2 = 900000000000000000000000000000000002
<36> = 2 × 1063 × 249329029 × 1697877697001307424614763
<25>
9×1036+2 = 9000000000000000000000000000000000002
<37> = 2 × 11 × 409090909090909090909090909090909091
<36>
9×1037+2 = 90000000000000000000000000000000000002
<38> = 2 × 41 × 389 × 421 × 14081 × 475952334578126401805719649
<27>
9×1038+2 = 900000000000000000000000000000000000002
<39> = 2 × 11
2 × 32199449 × 115499127468386490630798430769
<30>
9×1039+2 = 9000000000000000000000000000000000000002
<40> = 2 × 7
2 × 91836734693877551020408163265306122449
<38>
9×1040+2 = 90000000000000000000000000000000000000002
<41> = 2 × 11 × 262344811415299
<15> × 15593634457031704403408609
<26>
9×1041+2 = 900000000000000000000000000000000000000002
<42> = 2 × 117503 × 1479328507436309
<16> × 2588802578660649031363
<22>
9×1042+2 = 9000000000000000000000000000000000000000002
<43> = 2 × 11 × 41 × 9225649 × 25981607851
<11> × 41626799480362352997649
<23>
9×1043+2 = 90000000000000000000000000000000000000000002
<44> = 2 × 1129 × 4421 × 5867 × 7703 × 6169267463
<10> × 32336161987724977903
<20>
9×1044+2 = 900000000000000000000000000000000000000000002
<45> = 2 × 11 × 17 × 21787 × 22714217 × 4862680140970724840480596008737
<31>
9×1045+2 = 9000000000000000000000000000000000000000000002
<46> = 2 × 7 × 23 × 862548059559649
<15> × 32404351559582082642140257409
<29>
9×1046+2 = 90000000000000000000000000000000000000000000002
<47> = 2 × 11 × 103979 × 422083 × 2932547 × 107264153 × 296330765240675267593
<21>
9×1047+2 = 900000000000000000000000000000000000000000000002
<48> = 2 × 41 × 167 × 196536401 × 334402246983084973640407739910819983
<36>
9×1048+2 = 9000000000000000000000000000000000000000000000002
<49> = 2 × 11 × 59 × 12697 × 14771 × 36970625572510989450117389291756235227
<38>
9×1049+2 = 90000000000000000000000000000000000000000000000002
<50> = 2 × 107 × 349 × 6029 × 21067603 × 103169683 × 91958272312366212053613667
<26>
9×1050+2 = 900000000000000000000000000000000000000000000000002
<51> = 2 × 11 × 449 × 39667 × 934051 × 603925122272653739
<18> × 4071837575464855793
<19>
9×1051+2 = 9
(0
)502
<52> = 2 × 7 × 6112346506118588321
<19> × 105173543779566364651450991146583
<33>
9×1052+2 = 9
(0
)512
<53> = 2 × 11 × 19 × 41 × 83 × 38921 × 1927029936131
<13> × 843590785002479532850241544713
<30>
9×1053+2 = 9
(0
)522
<54> = 2 × 61 × 20243779924327
<14> × 364410658874178470692959704471742069283
<39>
9×1054+2 = 9
(0
)532
<55> = 2 × 11 × 27501961 × 891565240483
<12> × 1995298816271227
<16> × 8361709850892640091
<19>
9×1055+2 = 9
(0
)542
<56> = 2 × 29 × 43 × 67 × 2803 × 102547 × 35578681 × 36785383 × 1431726536327358790454085443
<28>
9×1056+2 = 9
(0
)552
<57> = 2 × 11 × 523 × 133073 × 1793083258535953091
<19> × 327814180560934941034589862419
<30>
9×1057+2 = 9
(0
)562
<58> = 2 × 7 × 41 × 607 × 6949 × 3717231547594655007957060417951092353138341833261
<49>
9×1058+2 = 9
(0
)572
<59> = 2 × 11 × 179 × 1283 × 33409334243
<11> × 533178121048365321258790198274900650318441
<42>
9×1059+2 = 9
(0
)582
<60> = 2 × 89 × 2039083 × 21210703 × 116904853060866699437133051823228954411891541
<45>
9×1060+2 = 9
(0
)592
<61> = 2 × 11
2 × 17 × 10205411 × 214361961539054245620886911671975160500740333165363
<51>
9×1061+2 = 9
(0
)602
<62> = 2 × 1567 × 28717294192724952137843012125079770261646458200382897255903
<59>
9×1062+2 = 9
(0
)612
<63> = 2 × 11 × 41 × 113 × 1227715891
<10> × 7192165148378672937231515585668837275619163992697
<49>
9×1063+2 = 9
(0
)622
<64> = 2 × 7 × 47 × 13829 × 1242902321
<10> × 795772341118998014571596403313432083101094554741
<48>
9×1064+2 = 9
(0
)632
<65> = 2 × 11 × 953 × 2579 × 2729 × 205537 × 2967440617250298095913029626738390449928680225841
<49>
9×1065+2 = 9
(0
)642
<66> = 2 × 269 × 7321 × 50221 × 312469 × 6347527 × 2293997690750179902266527146930448364027963
<43>
9×1066+2 = 9
(0
)652
<67> = 2 × 11 × 307 × 7523 × 11251 × 15743426706502285058025602091992216790132222800948259481
<56>
9×1067+2 = 9
(0
)662
<68> = 2 × 23 × 41 × 263 × 809 × 35201 × 2998927 × 299834378689
<12> × 838544141300485189
<18> × 8450225515802570963
<19>
9×1068+2 = 9
(0
)672
<69> = 2 × 11 × 2243 × 18238560369634823491265756089652656750293843472621894378470392737
<65>
9×1069+2 = 9
(0
)682
<70> = 2 × 7 × 642857142857142857142857142857142857142857142857142857142857142857143
<69>
9×1070+2 = 9
(0
)692
<71> = 2 × 11 × 19
2 × 68432436526099
<14> × 165596297922852431478954557656043963588642929182296969
<54>
9×1071+2 = 9
(0
)702
<72> = 2 × 62929 × 1572749 × 4766489766709125266168658403
<28> × 953901651379954178799373323281927
<33>
9×1072+2 = 9
(0
)712
<73> = 2 × 11 × 41 × 419 × 12809 × 21059 × 183315768241
<12> × 48323775706471160459
<20> × 9965711157672684738864485761
<28>
9×1073+2 = 9
(0
)722
<74> = 2 × 13469 × 10960895724983
<14> × 734161809934921
<15> × 415182773099905893394056199595850335450203
<42>
9×1074+2 = 9
(0
)732
<75> = 2 × 11 × 1297381018243
<13> × 16721774593267
<14> × 1885688376869065178107704447057480527636237048411
<49>
9×1075+2 = 9
(0
)742
<76> = 2 × 7 × 443 × 52673741 × 99775762907852961404414384395129
<32> × 276115970189318614070290000827409
<33> (Eric Jeancolas / ECM for P32 x P33 /
February 7, 2023 2023 年 2 月 7 日)
9×1076+2 = 9
(0
)752
<77> = 2 × 11 × 17 × 43 × 139 × 201118513 × 200186875906386522549513133042652920269125001775370203790970523
<63>
9×1077+2 = 9
(0
)762
<78> = 2 × 41 × 223 × 44983 × 58367 × 635969 × 29476238355146996600463321128035656760153942692638237201423
<59>
9×1078+2 = 9
(0
)772
<79> = 2 × 11 × 947 × 7573057 × 57042509576034333912575903885210110664160965385162533490735317069329
<68>
9×1079+2 = 9
(0
)782
<80> = 2 × 1861 × 6883 × 8014997546692552043
<19> × 438313631464429431812867602952830613729310865188748589
<54>
9×1080+2 = 9
(0
)792
<81> = 2 × 11 × 3789829513
<10> × 10794440955394741813788047016322580706787875739752546776609866700642507
<71>
9×1081+2 = 9
(0
)802
<82> = 2 × 7
2 × 8467 × 160607736849573028722636944287289
<33> × 67533679362602647506955070007082399121633123
<44> (Eric Jeancolas / ECM for P33 x P44 /
February 7, 2023 2023 年 2 月 7 日)
9×1082+2 = 9
(0
)812
<83> = 2 × 11
2 × 41 × 449 × 601 × 2940306401
<10> × 157284570043
<12> × 458284675608809939097577
<24> × 158601916019386273884616060019
<30>
9×1083+2 = 9
(0
)822
<84> = 2 × 29 × 988067 × 3993032485407144167
<19> × 10106217218267294492591123
<26> × 389167575911751238292207968031227
<33>
9×1084+2 = 9
(0
)832
<85> = 2 × 11 × 467 × 683 × 1291 × 37993 × 94771375109083
<14> × 14060682679338018488441
<23> × 19623154583993693431367956580669179
<35>
9×1085+2 = 9
(0
)842
<86> = 2 × 644453065765215253875769757085089809
<36> × 69826652072121932894114128777266544001702364623089
<50> (Eric Jeancolas / ECM for P36 x P50 /
February 7, 2023 2023 年 2 月 7 日)
9×1086+2 = 9
(0
)852
<87> = 2 × 11 × 40909090909090909090909090909090909090909090909090909090909090909090909090909090909091
<86>
9×1087+2 = 9
(0
)862
<88> = 2 × 7 × 41 × 181 × 6157847 × 48279897569
<11> × 366059161903
<12> × 795986179064157177576758170458162326575367880443348027
<54>
9×1088+2 = 9
(0
)872
<89> = 2 × 11 × 19 × 67 × 2153 × 299969 × 139565671889693020822087452362696603
<36> × 35652698714975347127805160174924507457977
<41> (Eric Jeancolas / ECM for P36 x P41 /
February 7, 2023 2023 年 2 月 7 日)
9×1089+2 = 9
(0
)882
<90> = 2 × 23 × 9689 × 41969 × 175818148278781
<15> × 273661308227389754235873274905428719342005139508979965711217513947
<66>
9×1090+2 = 9
(0
)892
<91> = 2 × 11 × 8387 × 280544089841
<12> × 10413317398143959867
<20> × 1259609834186027320369
<22> × 13255219172144493773380143032488051
<35>
9×1091+2 = 9
(0
)902
<92> = 2 × 109 × 32189 × 1976947232723
<13> × 1300751803595501466763
<22> × 4987570144727364881525265311142327477659942749355449
<52>
9×1092+2 = 9
(0
)912
<93> = 2 × 11 × 17 × 41 × 577 × 604245377 × 37038576853304165497
<20> × 36000712483378382165241187
<26> × 126250327632417065594301925306513
<33>
9×1093+2 = 9
(0
)922
<94> = 2 × 7 × 83 × 9941 × 3700289 × 10143787 × 11818924145392370305482768565946143
<35> × 1756275311298352605920859229196713456469
<40> (Eric Jeancolas / ECM for P35 x P40 /
February 7, 2023 2023 年 2 月 7 日)
9×1094+2 = 9
(0
)932
<95> = 2 × 11 × 1609 × 146655137 × 36473047663764136325849281
<26> × 475329151929086401375545304660191628306828468959960681067
<57>
9×1095+2 = 9
(0
)942
<96> = 2 × 283 × 7307 × 9049 × 14323 × 175807561322587
<15> × 45442452689377132411515425363
<29> × 210161460208757506505480640088385781883
<39>
9×1096+2 = 9
(0
)952
<97> = 2 × 11 × 227 × 1802162595114136964357228674409291149379255106127352823388065678814577492991589907889467360833
<94>
9×1097+2 = 9
(0
)962
<98> = 2 × 41
2 × 43 × 343746883813866707
<18> × 1811079751060969932680359041925688884417210981145939731784441424067415192321
<76>
9×1098+2 = 9
(0
)972
<99> = 2 × 11 × 827 × 32242407073
<11> × 1534217252876757624399664257157803277398321394037291839047198466542653713861160791321
<85>
9×1099+2 = 9
(0
)982
<100> = 2 × 7 × 541 × 1607 × 3194743463
<10> × 22018509832229
<14> × 10511807962008924074119128898472759817857282215344069423209669698078007
<71>
9×10100+2 = 9
(0
)992
<101> = 2 × 11 × 7083392113073
<13> × 577535314381223050490905360419266516720123105683634476268616498393399318610923684248467
<87>
9×10101+2 = 9
(0
)1002
<102> = 2 × 850873112527
<12> × 58154166126686198463081526167101267
<35> × 9094249833523755982560413382145612928065104929500283189
<55> (Eric Jeancolas / ECM for P35 x P55 /
February 7, 2023 2023 年 2 月 7 日)
9×10102+2 = 9
(0
)1012
<103> = 2 × 11 × 41 × 107 × 13649 × 200171 × 329203913443
<12> × 429975115334814323
<18> × 688873317066300440477075209
<27> × 350027791366706871973448884674067
<33>
9×10103+2 = 9
(0
)1022
<104> = 2 × 89 × 115794266271871137903803
<24> × 4366519982439882915573941943802045331271484006675596407938954690032672978533803
<79>
9×10104+2 = 9
(0
)1032
<105> = 2 × 11
2 × 54761847919747491698723
<23> × 67912395321519280844123508837851478311405421806242780203514381167302911369658147
<80>
9×10105+2 = 9
(0
)1042
<106> = 2 × 7 × 409 × 3579769 × 113916743 × 2313967008802484239531466062054063
<34> × 1665679499490465308338091421074628086980175982353785487
<55> (Eric Jeancolas / ECM for P34 x P55 /
February 7, 2023 2023 年 2 月 7 日)
9×10106+2 = 9
(0
)1052
<107> = 2 × 11 × 19 × 59 × 761 × 6870806600417
<13> × 15232799790521
<14> × 1960210972295291
<16> × 23374336137913619453503340433860729990738695513410945588553
<59>
9×10107+2 = 9
(0
)1062
<108> = 2 × 41 × 640907 × 29106690803483156002346201331343
<32> × 588356843877588247177359814052651527636974378912121824096947280623461
<69> (Eric Jeancolas / ECM for P32 x P69 /
February 7, 2023 2023 年 2 月 7 日)
9×10108+2 = 9
(0
)1072
<109> = 2 × 11 × 17 × 2609 × 82171 × 778125765134608100015968633133986958699
<39> × 144254197823560721107515082112832881311317366566503626187243
<60> (Eric Jeancolas / ECM for P39 x P60 /
February 7, 2023 2023 年 2 月 7 日)
9×10109+2 = 9
(0
)1082
<110> = 2 × 47 × 149 × 63367 × 42054827 × 189046087 × 4116367921
<10> × 120675536057588656089151370813268283
<36> × 25677236177180824162456824560171053090043
<41> (Eric Jeancolas / ECM for P36 x P41 /
February 7, 2023 2023 年 2 月 7 日)
9×10110+2 = 9
(0
)1092
<111> = 2 × 11 × 643 × 117329 × 44710236511331
<14> × 12128204725195162983271004599264579859237177570626727527373553461603534044497375573261563
<89>
9×10111+2 = 9
(0
)1102
<112> = 2 × 7 × 23 × 29 × 6117116407
<10> × 25651998961
<11> × 85267135876081
<14> × 72034244535997278835925245487357956590562609360709867276578446099521151667
<74>
9×10112+2 = 9
(0
)1112
<113> = 2 × 11 × 41 × 6361 × 409844505133977283249865995617299
<33> × 38272907830842062075330488784591546605842202458595354564001389061615959409
<74> (Eric Jeancolas / ECM for P33 x P74 /
February 7, 2023 2023 年 2 月 7 日)
9×10113+2 = 9
(0
)1122
<114> = 2 × 61 × 1783 × 15767 × 16943 × 8459120683420735935396813892408881387364351727
<46> × 1830908901744287565790277029157814212595082479297508421
<55> (Eric Jeancolas / ECM for P46 x P55 /
February 7, 2023 2023 年 2 月 7 日)
9×10114+2 = 9
(0
)1132
<115> = 2 × 11 × 163 × 449 × 5323 ×
1050096998264804085289708009050905505747260095487919625676562123728733117936799212561477033264028323798691<106>
9×10115+2 = 9
(0
)1142
<116> = 2 × 103716563 × 38462722385137816752449339707
<29> × 11280396807525200691270383205195106070627896215836992024948918292048136203390561
<80>
9×10116+2 = 9
(0
)1152
<117> = 2 × 11 × 5973139 × 117251986147
<12> × 347470231895448227
<18> × 716656856080523004139
<21> × 234567659880923772834203549469169037504567873724644399950459
<60>
9×10117+2 = 9
(0
)1162
<118> = 2 × 7 × 41 × 297008342056095788203
<21> × 15085934759640267517709617548393426610945441
<44> × 3499369033086968011137236524889888760557169349675901
<52> (Eric Jeancolas / ECM for P44 x P52 /
February 7, 2023 2023 年 2 月 7 日)
9×10118+2 = 9
(0
)1172
<119> = 2 × 11 × 43 × 2814409937
<10> × 91350638684878133339
<20> × 47654738398013699804849
<23> × 7765087244734088242536926186998132051547764557595081234553646091
<64>
9×10119+2 = 9
(0
)1182
<120> = 2 ×
450000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<120>
9×10120+2 = 9
(0
)1192
<121> = 2 × 11 × 294809 × 110570377 × 1384188265236592997471675292677466163
<37> × 9066614228791265557973370780522274138963309159600610509135247860728049
<70> (Eric Jeancolas / ECM for P37 x P70 /
February 7, 2023 2023 年 2 月 7 日)
9×10121+2 = 9
(0
)1202
<122> = 2 × 67 × 383 × 263214409 × 63930734849
<11> × 113566304321198374109
<21> × 9072277805792656049383162546241
<31> × 101147172550559468915839115258140006328435434129
<48> (Eric Jeancolas / ECM for P31 x P48 /
February 7, 2023 2023 年 2 月 7 日)
9×10122+2 = 9
(0
)1212
<123> = 2 × 11 × 41 × 139 × 976561 × 11423876209
<11> × 67299392297
<11> × 29426410410883
<14> × 4430295986685563
<16> × 146998330072322732317278073
<27> × 498901412106733000579601046970066609
<36>
9×10123+2 = 9
(0
)1222
<124> = 2 × 7
2 × 8269 × 371385898595759454374256104450591045529709899477812761
<54> × 29904602368876844605002825678027712259883905630278146945487888861
<65> (Dmitry Domanov / Msieve 1.54 snfs for P54 x P65 /
February 22, 2023 2023 年 2 月 22 日)
9×10124+2 = 9
(0
)1232
<125> = 2 × 11 × 17 × 19 × 429638961838793135220949610629776182857913
<42> × 29479061136408274459196713427465180757025907773358899074026309897486843076644009
<80> (Dmitry Domanov / Msieve 1.54 snfs for P42 x P80 /
February 22, 2023 2023 年 2 月 22 日)
9×10125+2 = 9
(0
)1242
<126> = 2 × 53503 × 217727 × 282809563 × 80271243629
<11> × 129553699238035507
<18> × 28986591455716524717252971596483769
<35> × 453128147869875971351882861338214060546390381
<45> (Eric Jeancolas / ECM for P35 x P45 /
February 7, 2023 2023 年 2 月 7 日)
9×10126+2 = 9
(0
)1252
<127> = 2 × 11
2 × 3853235849
<10> × 76590309402645011
<17> × 126016591134090371363721863618051310784737872442653979518333230263370185695235486924604868113711579
<99>
9×10127+2 = 9
(0
)1262
<128> = 2 × 41 × 8161 × 18061 × 66523 × 2097523 × 77012563028144332061348383
<26> × 692952316919577275298791093584035693010186436995834205918279351787905239923496163
<81>
9×10128+2 = 9
(0
)1272
<129> = 2 × 11 × 10139 × 41113 × 6085466003
<10> × 2670479514483852772199385420668434919783805379
<46> × 6038964073938373272861961099329647047860112200497093091189439049
<64> (Eric Jeancolas / ECM for P46 x P64 /
February 7, 2023 2023 年 2 月 7 日)
9×10129+2 = 9
(0
)1282
<130> = 2 × 7 × 305133693459227
<15> × 2985816039654247
<16> × 358670835446305513988261
<24> × 1967275560443691217231390234363313771033371253013264910224161566324543593127
<76>
9×10130+2 = 9
(0
)1292
<131> = 2 × 11 × 97 × 233 × 334786202396414033
<18> × 18499554581172807617
<20> × 24212807574006464986105402763
<29> × 656788052324787668929642098923
<30> × 1837777609046823599773946966419
<31> (Eric Jeancolas / ECM for P30 x P31 /
February 7, 2023 2023 年 2 月 7 日)
9×10131+2 = 9
(0
)1302
<132> = 2 × 509 × 5023 × 73589 × 43212835187
<11> × 33408791847007007982601
<23> × 21006430695643090247416100801948568181
<38> × 78866552057421913117835447370467447405038855464521
<50> (Eric Jeancolas / ECM for P38 x P50 /
February 7, 2023 2023 年 2 月 7 日)
9×10132+2 = 9
(0
)1312
<133> = 2 × 11 × 41 × 377901663661801
<15> × 95439380199005387007638133435192647842979
<41> × 276649288600439851094700866980598308602468986514435695028556491694933064369
<75> (Bob Backstrom / GMP-ECM 7.0.4 B1=34260000, sigma=1:522792789 for P41 x P75 /
February 28, 2023 2023 年 2 月 28 日)
9×10133+2 = 9
(0
)1322
<134> = 2 × 23
2 × 20398347437420801093000849853989
<32> ×
4170247753248601753209875674469363540866156378074290957758424141126360498359471436202765416820000221<100> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4194817276 for P32 x P100 /
February 7, 2023 2023 年 2 月 7 日)
9×10134+2 = 9
(0
)1332
<135> = 2 × 11 × 83 × 1873 × 82149913 × 100506626714392607014669702930997244403
<39> × 31871474340814614001294599298858987305758990472415149136894153565349131305384059091
<83> (Bob Backstrom / GMP-ECM 7.0.4 B1=36040000, sigma=1:46261611 for P39 x P83 /
February 24, 2023 2023 年 2 月 24 日)
9×10135+2 = 9
(0
)1342
<136> = 2 × 7 × 378058015072043
<15> × 141531842821821291563
<21> × 3905494992202373885445996683237814047527
<40> × 3076279399527864314127104701849760199272852315860893186171001
<61> (Eric Jeancolas / ECM for P40 x P61 /
February 7, 2023 2023 年 2 月 7 日)
9×10136+2 = 9
(0
)1352
<137> = 2 × 11 × 153587781283333137775360293758295608914257208277327981843
<57> × 26635641564235705756021051596286976419379225103404410926296708701700467898796337
<80> (Bob Backstrom / Msieve 1.44 snfs for P57 x P80 /
February 22, 2023 2023 年 2 月 22 日)
9×10137+2 = 9
(0
)1362
<138> = 2 × 41 × 83632727 × 243738213401
<12> × 509796904133059181003
<21> × 1986104093656824246123013312003
<31> × 531777031416059770912348930326286955977309035864366043195753475527
<66> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:182572636 for P31 x P66 /
February 7, 2023 2023 年 2 月 7 日)
9×10138+2 = 9
(0
)1372
<139> = 2 × 11 × 258241 × 99067481 × 9706552811
<10> × 11867452737482819
<17> × 799837189135330320579404696694523629102089073017
<48> × 173555902312429831730844853590375603164421335248307
<51> (Eric Jeancolas / ECM for P48 x P51 /
February 7, 2023 2023 年 2 月 7 日)
9×10139+2 = 9
(0
)1382
<140> = 2 × 29 × 43 × 887 × 10723 × 982224717791686341632377023695867
<33> × 94896456063115998079611214753394597368395203
<44> × 40704767795102205533416504357712758683066346250783683
<53> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2405646264 for P33, cado-nfs-3.0.0 for P44 x P53 /
February 7, 2023 2023 年 2 月 7 日)
9×10140+2 = 9
(0
)1392
<141> = 2 × 11 × 17 × 376785507641
<12> × 302911454181034784176876305968483
<33> × 19358825185329127901906043522890417
<35> × 1089135773905987184387147468756474585117963974614148112267273
<61> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:958352932 for P33, B1=1000000, sigma=1:3723738249 for P35 x P61 /
February 7, 2023 2023 年 2 月 7 日)
9×10141+2 = 9
(0
)1402
<142> = 2 × 7 × 461 × 287996089 × 4402402712015883150101
<22> ×
1099859450877781866265634336134053979695177325080842259188907208695885064091449938150049435581081080690111167<109>
9×10142+2 = 9
(0
)1412
<143> = 2 × 11 × 19 × 41 × 25484835466156141451
<20> × 85102047047048916665296222034569
<32> × 2421366503095441146902054549956913685453411649304685556043194342905561781470889140977891
<88> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1915073598 for P32 x P88 /
February 7, 2023 2023 年 2 月 7 日)
9×10143+2 = 9
(0
)1422
<144> = 2 × 74911528964702609947317427840991021788106140945079304082369
<59> × 6007086041616297260345005354344794895913317266243508847572657362856143704778522737729
<85> (Bob Backstrom / Msieve 1.44 snfs for P59 x P85 /
February 22, 2023 2023 年 2 月 22 日)
9×10144+2 = 9
(0
)1432
<145> = 2 × 11 × 5897 × 632299 × 101576113 × 972727877552484790445008898447837494785001
<42> × 1110409717076563374971776414207407028811592233430015012727692737835685155332196477769
<85> (Bob Backstrom / Msieve 1.44 snfs for P42 x P85 /
February 26, 2023 2023 年 2 月 26 日)
9×10145+2 = 9
(0
)1442
<146> = 2 × 1190429 × 6184408985924427405863
<22> × 10662475659493285823134354948958141
<35> × 574643534491033627814542134757301567
<36> × 997594935422509688574420063964056000782009464129
<48> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1956241108 for P35, B1=1000000, sigma=1:2626679873 for P36 x P48 /
February 7, 2023 2023 年 2 月 7 日)
9×10146+2 = 9
(0
)1452
<147> = 2 × 11 × 449 × 2281090337
<10> × 2317320453720611183394601497878590827425432257
<46> × 17236334269251790588353565157769054562418594020935196040678738705325035248127276019539651
<89> (Bob Backstrom / Msieve 1.44 snfs for P46 x P89 /
February 23, 2023 2023 年 2 月 23 日)
9×10147+2 = 9
(0
)1462
<148> = 2 × 7 × 41 × 89 × 3453038919535073924439794329561687
<34> × 219470870138370970583737636919512341461
<39> × 232467503421907507211320543815241795229216409205974449677473269435979101
<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2614821886 for P34, cado-nfs-3.0.0 for P39 x P72 /
February 7, 2023 2023 年 2 月 7 日)
9×10148+2 = 9
(0
)1472
<149> = 2 × 11
2 × 12310687777
<11> × 38109699852390118070014932762104484213713
<41> × 792700803181400242031925139228868231185456740464245105132247142891586543642866720155607693480281
<96> (Bob Backstrom / Msieve 1.44 snfs for P41 x P96 /
February 23, 2023 2023 年 2 月 23 日)
9×10149+2 = 9
(0
)1482
<150> = 2 × 229 × 1294714303
<10> × 5132937961589
<13> ×
295690294886056420283506035259886385084375437974116838655264671771175665691108772170805211706540859608534669984075718632432807<126>
9×10150+2 = 9
(0
)1492
<151> = 2 × 11 × 223039527861905147233
<21> × 2808618755945992095121521718599740081
<37> × 15386761923149226836676093867117619942613171
<44> × 42442207638899192532832078805077305110521378106177
<50> (Bob Backstrom / GMP-ECM 7.0.4 B1=30790000, sigma=1:788933780, Msieve 1.54 for P37 x P44 x P50 /
February 25, 2023 2023 年 2 月 25 日)
9×10151+2 = 9
(0
)1502
<152> = 2 × 9938014841
<10> × 314838981528767
<15> × 3460823679751251042301
<22> ×
4155706813368411710601086959090317540991857709124399882309381305000360976582001454681287396910323246916483<106>
9×10152+2 = 9
(0
)1512
<153> = 2 × 11 × 41 × 3931 × 44963 × 113075779352659
<15> ×
49923848665620926840074978044657917376993618963441683536431972214801103742109869381043394611885550228630625918518598769198895513<128>
9×10153+2 = 9
(0
)1522
<154> = 2 × 7 × 57221 × 60223 × 30514111429
<11> × 40162464466987
<14> × 1340616128238388046443738140522481
<34> × 113545812521354639786264328663857682239154431242759017322291120112921041644579407708867
<87> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2415249144 for P34 x P87 /
February 7, 2023 2023 年 2 月 7 日)
9×10154+2 = 9
(0
)1532
<155> = 2 × 11 × 67 × 1747 × 60342614224110564685604476645021405286914658147587337
<53> × 579199261888437671001155505945957608016910844340476219517893789659351813275352111684377774361507
<96> (Bob Backstrom / Msieve 1.44 snfs for P53 x P96 /
March 1, 2023 2023 年 3 月 1 日)
9×10155+2 = 9
(0
)1542
<156> = 2 × 23 × 47 × 107 × 4903 × 2036683939444300801
<19> × 93114694449272240183743
<23> × 194238586961768332939885893370107541627984851453707
<51> × 21540896680208432721759903602090552925773185032136488601
<56> (Rytis Slatkevicius / yafu2 for P51 x P56 /
February 21, 2023 2023 年 2 月 21 日)
9×10156+2 = 9
(0
)1552
<157> = 2 × 11 × 17 × 131 × 223024132581004762286009
<24> × 30094129148468934063266556870131030901170451222739
<50> × 27369443828847190496975732630570804325735052936531019948663867941709580346014883
<80> (Bob Backstrom / Msieve 1.44 snfs for P50 x P80 /
March 2, 2023 2023 年 3 月 2 日)
9×10157+2 = 9
(0
)1562
<158> = 2 × 41 × 64571986289085552819448997344127
<32> ×
16997478917498843974829778096157553257453081999711376910902317818487500085202011444901931934677022845162289524709702944906343<125> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3799063920 for P32 x P125 /
February 7, 2023 2023 年 2 月 7 日)
9×10158+2 = 9
(0
)1572
<159> = 2 × 11 × 193 × 119143177 × 32548272629611
<14> × 1046249449185780677873219
<25> ×
52243246331930137793505286752525399649197716396755938113113759019141523070556841838830956607484294863894011659<110>
9×10159+2 = 9
(0
)1582
<160> = 2 × 7 × 14768226257669
<14> × 1921141246361727335444951457194998432529822963306947510838736107803
<67> × 22658274825103857236144344054823862743755044367667061006603723283568147615284049
<80> (Bob Backstrom / Msieve 1.44 snfs for P67 x P80 /
March 4, 2023 2023 年 3 月 4 日)
9×10160+2 = 9
(0
)1592
<161> = 2 × 11 × 19 × 43 × 1647227 × 2185767840425210638871566924468984969
<37> ×
1390721881924573217899816260331295081968307725853671322335992995074260077249198285121292825641800061871649272873921<115> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:440108266 for P37 x P115 /
February 7, 2023 2023 年 2 月 7 日)
9×10161+2 = 9
(0
)1602
<162> = 2 × 31022392063827810685906953547912194193543
<41> ×
14505651242951737525239369188154128353931151638472834190787575298516869273684739413487474230414111457955558465461521796407<122> (Bob Backstrom / Msieve 1.44 snfs for P41 x P122 /
February 28, 2023 2023 年 2 月 28 日)
9×10162+2 = 9
(0
)1612
<163> = 2 × 11 × 41 × 3083 × 3209 × 20305913 ×
49667260808062125675629254240008149750604863136220539520573535796347715509718841187012866237497065283661461039673936731507913714576062873179935841<146>
9×10163+2 = 9
(0
)1622
<164> = 2 × 33264067 × 5410243363856501827
<19> × 63066338284582239087295602602065148215067
<41> × 3964813377420238758086352694615009820179158790859629158307225638178557595135781777495855846923067
<97> (Eric Jeancolas / cado-nfs-3.0.0 for P41 x P97 /
February 7, 2023 2023 年 2 月 7 日)
9×10164+2 = 9
(0
)1632
<165> = 2 × 11 × 59 × 5689 × 100546636818143133964828469851571
<33> × 159087638913480733111099252179072422683
<39> × 7619525001124683248118604970340860902753496242903080693184472300395565902110616860043937
<88> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3886489516 for P33 /
February 7, 2023 2023 年 2 月 7 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=33060000, sigma=1:359028157 for P39 x P88 /
March 9, 2023 2023 年 3 月 9 日)
9×10165+2 = 9
(0
)1642
<166> = 2 × 7
3 × 349 × 647 × 56101 × 54385561 ×
19042960682724685842713943399108003585344382298636982499364600467981646979841101321005046771259029471569355798085941319627374038163561259373645529<146>
9×10166+2 = 9
(0
)1652
<167> = 2 × 11 × 26723 × 91113593 × 950699753 × 118653956003660962739
<21> ×
14894496966635276416176458049500662534082795956949838076670444167718545119542650320593977775329983082368477899864832894966107<125>
9×10167+2 = 9
(0
)1662
<168> = 2 × 29 × 41 × 14306596083006624914904635581776902576750715778578960442254481
<62> ×
26454182374236768869591204970621720071026816535334731456115882244978704127299909111357306949424351072989<104> (Bob Backstrom / Msieve 1.44 snfs for P62 x P104 /
March 7, 2023 2023 年 3 月 7 日)
9×10168+2 = 9
(0
)1672
<169> = 2 × 11 × 139 × 569 × 95369 × 5001233 × 921582506921
<12> ×
11767229464857530802904973879174631033646286447309348856018997463676301199695844890813818334168851427290922249667718655448879221968551195153<140>
9×10169+2 = 9
(0
)1682
<170> = 2 × 2347 × 97387 × 3765529 × 4706838588902349067820781304521412730236565221
<46> ×
11108185780378743557353853264308934927398049990148992144361531722388426201381780820645488903227951522674350301<110> (Bob Backstrom / Msieve 1.44 snfs for P46 x P110 /
March 12, 2023 2023 年 3 月 12 日)
9×10170+2 = 9
(0
)1692
<171> = 2 × 11
2 × 51137 × 3967257702121704643
<19> × 5760777873295160753
<19> ×
3182147860364493475526380879574110906642339677726451948697401777259504397043330704732512071477869265110832284251812865856752947<127>
9×10171+2 = 9
(0
)1702
<172> = 2 × 7 × 392634403250049528023
<21> × 2852617700252740885841
<22> × 15074364411513497826268768523549
<32> × 38075318141736054307705385128008850030953062371082634087039565360138253649829947607318416022465349
<98> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:708928911 for P32 x P98 /
February 7, 2023 2023 年 2 月 7 日)
9×10172+2 = 9
(0
)1712
<173> = 2 × 11 × 17 × 41 × 3823433 × 6022116097
<10> × 1367069680051
<13> × 914866291196374623217
<21> × 942556246882230778292874161
<27> × 1431107856589289305140167248043127521
<37> × 151097237119839385541242051155445310884870350600142095889
<57> (Eric Jeancolas / ECM for P37 x P57 /
February 7, 2023 2023 年 2 月 7 日)
9×10173+2 = 9
(0
)1722
<174> = 2 × 61 × 881 × 5623 × 22567 × 552372613129
<12> × 203933006558073492993884927694863
<33> ×
585794376153836091222772468255030482155827211781442167548854707057992276314899821980448140045280401196445285759107923<117> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:880069839 for P33 x P117 /
February 7, 2023 2023 年 2 月 7 日)
9×10174+2 = 9
(0
)1732
<175> = 2 × 11 × 113 × 1427 × 15017 × 6459991033
<10> × 506824970913648166035542228009196833479001
<42> ×
51599359640421599407840732076794291475212089292719918783893203462498272373053658077882279786972050140437556417481<113> (Bob Backstrom / GMP-ECM 7.0.4 B1=30970000, sigma=1:2286621007 for P42 x P113 /
March 11, 2023 2023 年 3 月 11 日)
9×10175+2 = 9
(0
)1742
<176> = 2 × 83 × 7489 × 1724993887
<10> × 159976283127045819461
<21> × 43194607015574284744499780531362988129616177169
<47> × 6073484130926366341995962238730973039243444080754833623213033392271782490700999602779984231281
<94> (anonymous / GMP-ECM 7.0.5 B1=11000000, sigma=0:16274083123590261394 for P47 x P94 /
March 25, 2023 2023 年 3 月 25 日)
9×10176+2 = 9
(0
)1752
<177> = 2 × 11 × 401 × 587 × 75161 × 535937 × 288288322023920533168771
<24> ×
14965940485667225839356908606608140479024239625127137611383470908245723281810614549254645495787907412575475181440442920973946890659580619<137>
9×10177+2 = 9
(0
)1762
<178> = 2 × 7 × 23 × 41 × 421 × 26187802804729503907
<20> × 9156467588041560110536185219188882146007167
<43> ×
6752951968631529554195837912440803656916229613859748160761688381597265294941552039252568037802588946676320649<109> (Bob Backstrom / Msieve 1.44 snfs for P43 x P109 /
March 16, 2023 2023 年 3 月 16 日)
9×10178+2 = 9
(0
)1772
<179> = 2 × 11 × 19 × 449 × 61779353 × 4458343645274513
<16> × 632361750535244562287709890381334293027
<39> × 52113188143738247795167245432530103622307821842289
<50> × 52831112315055184629649123338755540009212098186449705124120083
<62> (anonymous / GMP-ECM 7.0.5 B1=3000000, sigma=0:6028855741070597521 for P39 /
March 19, 2023 2023 年 3 月 19 日) (Lionel Debroux / CADO-NFS for P50 x P62 /
March 21, 2023 2023 年 3 月 21 日)
9×10179+2 = 9
(0
)1782
<180> = 2 × 1323503 × 5618029 × 259694767 × 457243174487867210658067
<24> × 56686194962327744663983349
<26> ×
8991163004154232975346268998495123968347963250124256748845650014743993612284153348934335152713554105608072843<109>
9×10180+2 = 9
(0
)1792
<181> = 2 × 11 × 337 × 347 × 1482350523361707586756721
<25> ×
2359986626416139141839761397440516594096585232984318011743471931701194897438123239895576488607380256797319327724759400830548048578400692317227477377689<151>
9×10181+2 = 9
(0
)1802
<182> = 2 × 43 × 61117488825440257221281950288882255901
<38> ×
17122948733969654263789620662663758509822845352911490451246709506820361208544056730202851273308404526016035296021990367567219887033593195896607<143> (Bob Backstrom / Msieve 1.44 snfs for P38 x P143 /
March 15, 2023 2023 年 3 月 15 日)
9×10182+2 = 9
(0
)1812
<183> = 2 × 11 × 41 × 46649 × 541879523 ×
39472160105038147667765799448596542734092704748399166888327557305867496932850619136733155055770884518975284466170448555919831221474450830736342090525961036349962612513<167>
9×10183+2 = 9
(0
)1822
<184> = 2 × 7 × 333062644422801682178373766943
<30> ×
1930138830102714590044601482152314296865139115382646837986348135986081762039108485109606648484832109075968086684298354798083639689307076009371291193591401<154> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3515332928 for P30 x P154 /
February 7, 2023 2023 年 2 月 7 日)
9×10184+2 = 9
(0
)1832
<185> = 2 × 11 × 101903426031144926698513
<24> × 270172702391633090839873663409
<30> ×
148589997845026745847444541927171984864132320277665366602807784007382320660003753733267514568789310914941329378277312200420473325923<132> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:389291644 for P30 x P132 /
February 7, 2023 2023 年 2 月 7 日)
9×10185+2 = 9
(0
)1842
<186> = 2 × 37486622557081
<14> × 663812238887438089
<18> × 68883631802999611623803
<23> × 133613515185503554779001155481
<30> × 44038665721088281797381632741480964706463
<41> × 44615972746230899399265185347583954778003642117641719609696021
<62> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3083811650 for P30 /
February 7, 2023 2023 年 2 月 7 日) (Rytis Slatkevicius / yafu2 for P41 x P62 /
February 20, 2023 2023 年 2 月 20 日)
9×10186+2 = 9
(0
)1852
<187> = 2 × 11 × 1097 × 2687593 × 24090881 × 875920169 × 5025474273604142158481
<22> × 2142751191655468518698921
<25> × 7476713772130254316962446169193204543166481831233
<49> × 81671952156678575690813321330310894884799785397965088869643218483
<65> (Rytis Slatkevicius / YAFU2 for P49 x P65 /
February 21, 2023 2023 年 2 月 21 日)
9×10187+2 = 9
(0
)1862
<188> = 2 × 41 × 67 × 18075320994191115509
<20> ×
906291351833675200622644336492674794001875421352828864507399245710326071381228074021246371106143477719907325451449279458460839771207965266336359979635688156612825287<165>
9×10188+2 = 9
(0
)1872
<189> = 2 × 11 × 17 × 1567483201
<10> × 14939538442502617
<17> × 903671537021493493940361381373146959240720694924494389760906806649
<66> × 113715647470066556227278316420965509773786629732216144519791702641811220498162719499305038377731
<96> (Bob Backstrom / Msieve 1.44 snfs for P66 x P96 /
March 30, 2023 2023 年 3 月 30 日)
9×10189+2 = 9
(0
)1882
<190> = 2 × 7 × 1546241 × 5826932743
<10> × 853067764285137169
<18> ×
83639947684816963619907533996100992396775752377312072983036226563323753457437730098913971032242159927303682751354359022753328917435414572423481772929733569<155>
9×10190+2 = 9
(0
)1892
<191> = 2 × 11 ×
4090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909091<190>
9×10191+2 = 9
(0
)1902
<192> = 2 × 89 × 734970964769233531342096685296149538320782783
<45> × 844482251284671463640236457493810787082867476311263507665489907
<63> × 8146326236391084256053045451396416797628452276762117572773858670611863144330411789
<82> (ebina / Msieve 1.53 snfs for P45 x P63 x P82 /
February 22, 2023 2023 年 2 月 22 日)
9×10192+2 = 9
(0
)1912
<193> = 2 × 11
2 × 41 × 2129131419820411
<16> × 2640192168975427530978302500211925279968474498129277573425499633102423377498369
<79> × 161363490347007897892941098236957638273616798215937432417249844902097212268222421539568440791699
<96> (Bob Backstrom / Msieve 1.44 snfs for P79 x P96 /
April 15, 2023 2023 年 4 月 15 日)
9×10193+2 = 9
(0
)1922
<194> = 2 × 97943 × 353462143780536269049032603353231681
<36> × 2506275723110681424767856757668530520755951936679813848875441
<61> × 518641610165230800430561622135812347998242450484114760754396409090648264157128771761295401367
<93> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:3443913469 for P36 /
February 27, 2023 2023 年 2 月 27 日) (Eric Jeancolas / cado-nfs-3.0.0 for P61 x P93 /
July 2, 2023 2023 年 7 月 2 日)
9×10194+2 = 9
(0
)1932
<195> = 2 × 11 × 219890651 × 328504763032163
<15> × 14462243296521213626752220647736084137989713590264913467693201
<62> ×
39159372993273234488653251270254074305029432660602535251186975857480367381094289428054206327209109455917364707<110> (Bob Backstrom / Msieve 1.44 snfs for P62 x P110 /
April 22, 2023 2023 年 4 月 22 日)
9×10195+2 = 9
(0
)1942
<196> = 2 × 7 × 29 × 163 × 276527 × 65293623880662220317764172353957046086566727
<44> × 11805913408700848217763143245787080268762177242002056918658667
<62> × 638000417138170159652276239094732679039400465653720103696106710144813353452542763
<81> (Bob Backstrom / Msieve 1.44 snfs for P44 x P62 x P81 /
April 21, 2023 2023 年 4 月 21 日)
9×10196+2 = 9
(0
)1952
<197> = 2 × 11 × 19 × 51859 × 9663446353245677926610265415157374278813232975123
<49> × 33162197133691039190362187102176427971524187891748893271794097
<62> × 12955875113154640899665432261377243566493360032062504766150704044212599943873241
<80> (Bob Backstrom / Msieve 1.44 snfs for P49 x P62 x P80 /
April 20, 2023 2023 年 4 月 20 日)
9×10197+2 = 9
(0
)1962
<198> = 2 × 41 × 49523 × 344131869451870176389327
<24> × 1199333497119556100193929
<25> × 528420556295194212671722189009
<30> × 3282069243064007931234141048050630752967166023
<46> × 309620288544422649914024592707100949826938682238410674761147891604547
<69> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2034693832 for P30 /
February 7, 2023 2023 年 2 月 7 日) (Rytis Slatkevicius / YAFU2 for P46 x P69 /
February 21, 2023 2023 年 2 月 21 日)
9×10198+2 = 9
(0
)1972
<199> = 2 × 11 × 2031883619
<10> × 5107783203827211876898401473
<28> ×
39417451677177095056989119908126497801071659518504364995654542474509833930664262682035289338765079690632600858291260106348361942184296279570646266624318347425793<161>
9×10199+2 = 9
(0
)1982
<200> = 2 × 23 × 109 × 20261 × 37529 × 2999707 × 7921945469
<10> × 63652382166784022332071267667116411265663
<41> ×
15606480145122564245770671437345516536734723006117147180182284478263915317595070200077997104508696835618019655659451401099818696143<131> (Bob Backstrom / GMP-ECM 7.0.4 B1=11590000, sigma=1:239443365 for P41 x P131 /
May 10, 2023 2023 年 5 月 10 日)
9×10200+2 = 9
(0
)1992
<201> = 2 × 11 × 1603699 × 7976555268773277957157481
<25> × 300617304498645544969342322825159904005399289996264697478203555651276603
<72> × 10638186877016793958852961131860594864353008105450410880985788470210097941959172861747186558683563
<98> (Bob Backstrom / Msieve 1.44 snfs for P72 x P98 /
May 16, 2023 2023 年 5 月 16 日)
9×10201+2 = 9
(0
)2002
<202> = 2 × 7 × 47 × 503 × 576943 × 1116001 × 349561418185784664222488215963954941439077275868600852072401197628186797820790385861
<84> ×
120816888260841696379105014091405321843163217675792040520705035986007958013092794244811117989501815501<102> (Bob Backstrom / Msieve 1.44 snfs for P84 x P102 /
June 6, 2023 2023 年 6 月 6 日)
9×10202+2 = 9
(0
)2012
<203> = 2 × 11 × 41 × 43 × 1361 × 118163 × 209441 × 2353817 × 49271908392218764787758115004966893925203166953864325789336004972744073
<71> ×
594010471435335345170804919861737425358956591106219441304782031749712961957387152193957130421713495999935979<108> (Bob Backstrom / Msieve 1.44 snfs for P71 x P108 /
July 25, 2023 2023 年 7 月 25 日)
9×10203+2 = 9
(0
)2022
<204> = 2 × 129555263672003197123
<21> × 45717268927676744443007
<23> × 1997404673216347576969019011674645409
<37> × 18941304948775241373529865529251094914422644641
<47> × 2008173422293541448274165616333323977974784297376949790809879297342800993058389
<79> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2678691616 for P37 /
February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:152978628 for P47 x P79 /
February 27, 2023 2023 年 2 月 27 日)
9×10204+2 = 9
(0
)2032
<205> = 2 × 11 × 17 × 412019359457
<12> × 100512803704279955214555784170728911112356579
<45> ×
581074607147938515301274938596232062661837068758227246299371091563929823463143879953280890147103494432956719187461975785142726323331210154470389841<147> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:846505565 for P45 x P147 /
March 22, 2023 2023 年 3 月 22 日)
9×10205+2 = 9
(0
)2042
<206> = 2 × 84389 × 1292927 × 55236581 × 28702169295927460987
<20> × 72327813520970893930257803
<26> × 4859718645531548307674732878609888055923738159864083568851089
<61> × 740107311519824357015744953870450769313124953470254797721994824764183352630023983
<81> (Rytis Slatkevicius / yafu2 for P61 x P81 /
February 23, 2023 2023 年 2 月 23 日)
9×10206+2 = 9
(0
)2052
<207> = 2 × 11 × 4027 × 663023290604579
<15> × 3504240124604651
<16> × 886357291652948177
<18> × 333446711559948406170974603
<27> ×
14793818827276964524272086864398516452255075652576659375499626642934575970973118779660121321283885738323593359611626685783475067<128>
9×10207+2 = 9
(0
)2062
<208> = 2 × 7
2 × 41 × 19373507 × 43768944855256289
<17> × 449202622223460089
<18> ×
5880523273103554145655388416328966404957688254373247347794135024102955804613117637859294178987726425545793183570198165196950035606302563956594637637747417432920987<163>
9×10208+2 = 9
(0
)2072
<209> = 2 × 11 × 107 × 736361 × 879449 × 10314368473
<11> ×
5723899113332421618581699245566170551157385332905151891644721491628194896575145878717117706053853954381908479541535409053460340637088463871412176429978139624933064827144784296850270929<184>
9×10209+2 = 9
(0
)2082
<210> = 2 × 227 × 1483 × 1889336389
<10> × 19779923995269650221
<20> × 659438686809675922413453123420403
<33> × 1112060885702633681912692306046322000194443868191215944845354182487
<67> × 48776272708755514605143279543353226308077033285798994887808573380763565990429
<77> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3334813635 for P33 /
February 7, 2023 2023 年 2 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P67 x P77 /
August 9, 2023 2023 年 8 月 9 日)
9×10210+2 = 9
(0
)2092
<211> = 2 × 11 × 449 ×
[911115610447458999797529864345009111156104474589997975298643450091111561044745899979752986434500911115610447458999797529864345009111156104474589997975298643450091111561044745899979752986434500911115610447459<207>]
Free to factor
9×10211+2 = 9
(0
)2102
<212> = 2 × 5303 × 19228616871883
<14> × 56599317316902822647221
<23> ×
[7797073847277451357493244216983074044591678165769493786920137870994126019431484261031894466261627977983431700562200707072833585727272840205467775585831201342904069484784769<172>]
Free to factor
9×10212+2 = 9
(0
)2112
<213> = 2 × 11 × 41 × 3491 × 513347 ×
[556769061889522501699126656570608604004955135390456045065226493806863331159411650772579289777986232194833938988458656968933608068064251434515816142785094951896665528274524560838489254287027484924846963<201>]
Free to factor
9×10213+2 = 9
(0
)2122
<214> = 2 × 7 × 167 × 3089321 × 41402226543023947
<17> × 808909157568049147
<18> × 24218364710021840282351070344099379324992369
<44> × 11163258475551785783607840175226635221166485407069564554309
<59> × 137618151788614629735276568675690111205625145444663258065258408491741
<69> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:2134871588 for P44 /
March 21, 2023 2023 年 3 月 21 日) (Eric Jeancolas / cado-nfs-3.0.0 for P59 x P69 /
March 25, 2023 2023 年 3 月 25 日)
9×10214+2 = 9
(0
)2132
<215> = 2 × 11
2 × 19 × 139 × 327325070216322697
<18> × 91408864383832298371
<20> ×
[4706425181011586179419274370249873666088712178402170185135828303709939801995443303046496428938357662401652180535574981505924330787064565502604139360268707221562520043320443<172>]
Free to factor
9×10215+2 = 9
(0
)2142
<216> = 2 × 1621 ×
[277606415792720542874768661320172732880937692782233189389265885256014805675508945095619987661937075879086983343615052436767427513880320789636027143738433066008636644046884639111659469463294262800740283775447254781<213>]
Free to factor
9×10216+2 = 9
(0
)2152
<217> = 2 × 11 × 83 × 379748565803
<12> × 4965457482131171
<16> ×
2613884096485820280380844489425780614422076214223835185651806618129536265335452003940809091804884988924417274462745570242589926004844321759860257395599226034152271065218488700210027893329<187>
9×10217+2 = 9
(0
)2162
<218> = 2 × 41 × 643 × 332147 × 9323129739682262109486161487032063
<34> × 151380546323021282181695342222899212323
<39> ×
3641292392939004287410849523764030918228103053541362729395356549790324889960566681421075892216833891098635679862789069163125814840713909<136> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:7271386 for P34, B1=1000000, sigma=1:283159605 for P39 x P136 /
February 7, 2023 2023 年 2 月 7 日)
9×10218+2 = 9
(0
)2172
<219> = 2 × 11 × 858228859 × 7227691681555510959577631011
<28> ×
[6595034872660376593383471887032006846552508754741304436332617792185237074082449430327879616790945549291114323742972834375155673667191071356575388272524664634889766202009717965361459<181>]
Free to factor
9×10219+2 = 9
(0
)2182
<220> = 2 × 7 × 307 × 37087 × 546477749 × 1637389874647
<13> ×
[63100065508610367326634352903564876626303459749061483542068173599534630007778296153470747986854809926649030713372816188197062545596482522468537096695182136599324555078458602655010997283080209<191>]
Free to factor
9×10220+2 = 9
(0
)2192
<221> = 2 × 11 × 17 × 67 × 3035203 × 2557280339
<10> × 8109995977
<10> × 75408228113
<11> × 103357955567000833
<18> ×
7320600998781796601159401231843647270849716844345303442197990162558337496763888037362880382688712221939845378287992644430855044988056591406421164820107336963073729<163>
9×10221+2 = 9
(0
)2202
<222> = 2 × 23 × 563 × 24547 × 653251301 × 1285353433994673529
<19> × 16120820485029231952112641
<26> ×
104589448489821119256062352010097567651420313653217444960123602719154732183281378915574340688274610005942068900016467307632164552993511736013103540758095627414603<162>
9×10222+2 = 9
(0
)2212
<223> = 2 × 11 × 41 × 59 × 202921 × 75254174147
<11> ×
11074557243238398320310904295972737114774747173107908983476071670718170787283907382102976653875353910461312177643573021038340348045230098070094452975412797104416584069855756005404605291312600661773565347<203>
9×10223+2 = 9
(0
)2222
<224> = 2 × 29 × 43 × 1514489 × 1669249 × 177780887 ×
[80292271333807777326627027483769385820171355253026423299140926532565519212945587900243853340044510166960149018437118667371160220426918382880791612559314614578650796605506214786469380596660726258274369<200>]
Free to factor
9×10224+2 = 9
(0
)2232
<225> = 2 × 11 × 3946950915577060681
<19> × 63845040076001705161
<20> ×
[162342017624168076795198903743209512119066144804479249305151587086426030956246918488915069475996029769440404012511035818652117446489474393638908720866175751508638728992632358630267606451<186>]
Free to factor
9×10225+2 = 9
(0
)2242
<226> = 2 × 7 × 7103009 × 3956829426127
<13> × 8642157005239891963239912718413443
<34> ×
[2646687266753841360117511632438890278019641781899570656049068437352647806708204077684507541065621217348803214173596755880824310742964589977538367894356749885819406869620307<172>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1098545967 for P34 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10226+2 = 9
(0
)2252
<227> = 2 × 11 × 97 × 16187 × 42540067 × 313229586110113
<15> × 68203478407313912666878580447227
<32> ×
[2866911303863160904405837618554150999747458703346703256808596105129001325169554828111030748775890811438247158151320093665589409689004150506382647381394302675126241257<166>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:509583373 for P32 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10227+2 = 9
(0
)2262
<228> = 2 × 41 × 98563 ×
[111356287411072724811640839844170485981109519403585622962953247928834918758164581128375734920564611021352444381864960457382340328075419386337771335060428108009659786745285855301660470720348975757241313776529707506626317747<222>]
Free to factor
9×10228+2 = 9
(0
)2272
<229> = 2 × 11 × 88129 × 889579 × 1360831411
<10> × 94990518560733451
<17> ×
40367502474544450132902156386986128045870180940748371082175139050254735336356783562699214836253238613971982282900759660486414267048034954301175111549600815646104949846145471740836331565555641<191>
9×10229+2 = 9
(0
)2282
<230> = 2 × 3761 × 15927883 × 279128025949
<12> ×
[2691210566608352723662462366267012303063470136734883741201105962055491127665740616871595552262448013244397167595709657561047242104663479757235247566400933557229737467219521692213111969586612698899725309651823<208>]
Free to factor
9×10230+2 = 9
(0
)2292
<231> = 2 × 11 × 22066147 ×
[1853929954744292652945214717779724257746904836131605082251518169850445983655827676172505743341104856642662132673596840857214859073905875325262225929569439970236266934553228032556344834877194876428090998808759367501226693953<223>]
Free to factor
9×10231+2 = 9
(0
)2302
<232> = 2 × 7 × 53239120483135396109
<20> × 1358157167272018201620881822231079007
<37> ×
[8890651188165164800645362428891243378930787190255853653405796260726217501222318515203356210858444128151662663043824773753287419661269750486143068548711218015518360560835765261<175>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3985794108 for P37 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10232+2 = 9
(0
)2312
<233> = 2 × 11 × 19 × 41 × 87961 × 5135806732993
<13> × 5877512004605102747078007817
<28> ×
1977834807761185412556371549834977665714449092583701100523651072050202810059880211706078424013600502643168343266289245292037439021477333214980439740475766791228518980357684122616985769<184>
9×10233+2 = 9
(0
)2322
<234> = 2 × 61 × 1438223 × 1678463 × 822150691669951141488997377239436959681
<39> ×
[3717005900108201530229361595050210002595046200939524125183874096363815983627939704838011355723245746838439805946569110184331210997096293222792926398742832614573558690138641320849189<181>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1253286124 for P39 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10234+2 = 9
(0
)2332
<235> = 2 × 11 × 6239243 × 782152462549416399608467
<24> ×
[83829429617063620668669128073431054516621481194819416834569207781072139281050433490070639944924171348507704077921250202130821935943097376302920208825550181658076721989588154017335412645584661831803429811<203>]
Free to factor
9×10235+2 = 9
(0
)2342
<236> = 2 × 89 × 318462841 × 188954570861569
<15> × 30868841084590172804132588655667
<32> ×
272198680093930863293093098842048780428720195355695942775875953450105928020842546793273476806944041560940641343769317243518244761146548279317786524197139922142026521066580434181963<180> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1799871427 for P32 x P180 /
February 7, 2023 2023 年 2 月 7 日)
9×10236+2 = 9
(0
)2352
<237> = 2 × 11
2 × 17 × 179 × 283 × 3467 × 41579 × 15955858247717295203
<20> ×
[1877546511964364913197687781435911235958204191824060791582617216482351598262236130601138453314176957967468308642952793918039454739554850442735882887775245664074398731142900393452075302150243468902597131<202>]
Free to factor
9×10237+2 = 9
(0
)2362
<238> = 2 × 7 × 41 × 262747 × 646552101821
<12> × 6165365697307
<13> ×
[14970299235631090164497149623566817088557859866547726993622345423613561500091044916180455572033967005496492488371879441681433730383321975158003404838616964847194349756058709117888617510891605073604464562947<206>]
Free to factor
9×10238+2 = 9
(0
)2372
<239> = 2 × 11 × 21639337 ×
189049650223067874449707451337769309156325311210278342127159861270661430573908483929479489556029793838373648374296730574928931930350227038337214725705740934164984310328412137076607711729296092070238061864330266176404068706406804843<231>
9×10239+2 = 9
(0
)2382
<240> = 2 × 2963 × 4229 ×
[35912296426159889364589374413382613516574362754256066005843170043845721732214455146220107103236759315869156979590722720600657897309506615324319559743975652420684301625941191459864377611572123024035621167409798486528140436551471458463<233>]
Free to factor
9×10240+2 = 9
(0
)2392
<241> = 2 × 11 × 77123542168867
<14> × 692838521331217
<15> × 630667018671530135443
<21> × 7006296070968156726160045968966663769
<37> × 21324271911321775351340191113842404260926836139
<47> ×
81252740433694616382061356337286902284723958318583217134717870576391200801268927110676618984200029521923113<107> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2422710454 for P37 /
March 3, 2023 2023 年 3 月 3 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P47 x P107 /
August 8, 2023 2023 年 8 月 8 日)
9×10241+2 = 9
(0
)2402
<242> = 2 × 10601128182698510359849
<23> ×
4244831231589285334511041048066628723936258604548113964348098883003294629206883569658560962044025676543708449057677711671289728082661584106015358815931995939332043345167842404102943303794789621271863286898811346757242649<220>
9×10242+2 = 9
(0
)2412
<243> = 2 × 11 × 41 × 449 × 5651 × 42187 × 6351892258654473134022379481113
<31> ×
[1467515029335819911742783264719663938353137767899400315337517588891853883235316295541836002874868721084843062219295258842165006805669162195806965929770261377571321648325224681137893211657835989475379<199>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3582723156 for P31 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10243+2 = 9
(0
)2422
<244> = 2 × 7 × 23 × 983 × 41704646178070837249
<20> × 1423435281244736688874103
<25> × 164747273112630195651401249257238620903
<39> ×
[2907319210560483608432404502235738003021880567128501456528026606788315797229633441510269677067337570693665635943726413147687527023520922870895188227629315047<157>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1944321595 for P39 /
March 3, 2023 2023 年 3 月 3 日)
Free to factor
9×10244+2 = 9
(0
)2432
<245> = 2 × 11 × 43 × 9875686950524312089
<19> ×
9633499036111620331310095396396999973937094169206408007659793430600103038107285213973885644892921205216246476624414376661463405835116715066145633427739121712061939790752347133850494325384722898914634713696525904532370612433<223>
9×10245+2 = 9
(0
)2442
<246> = 2 × 4023909601
<10> × 211512271997749
<15> ×
[528723638963030085293931124530409860157341507717131090600142958498827474425029000040780783971201054206847306249156288578977520062143051782629345427442212570900252859675369058880146235972307601046365251003245528536195964349<222>]
Free to factor
9×10246+2 = 9
(0
)2452
<247> = 2 × 11 × 2986984417
<10> × 77862158617
<11> × 2564639571936253083579981714900401251
<37> ×
[685857817099052454970188643655839015731047970029943515063330332368882771851457438924928750493490996238624294243865921724231937519835838752852186952023433818963264530856864702526244499740169<189>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3616067094 for P37 /
March 3, 2023 2023 年 3 月 3 日)
Free to factor
9×10247+2 = 9
(0
)2462
<248> = 2 × 41 × 47 × 14741203 × 55554701 × 51964355783
<11> × 27824671640466011202140949938629
<32> ×
[19721568946844780385538109171529758649432359313817547147078319865432040772783599319197137203727892380651568296218047494957010348298625262324606707637773424101621227982482482681096261317003<188>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:280248022 for P32 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10248+2 = 9
(0
)2472
<249> = 2 × 11 × 68099 × 1867769 × 22208737 ×
[14482117604730754014194283739307266200663057866860352990884674206404032649603759397125206763386657755638312386449736407322735748694477604730105147339125931803047307204132609972723766428519495822384289363846479983358155518227009353<230>]
Free to factor
9×10249+2 = 9
(0
)2482
<250> = 2 × 7
2 × 1123 × 64105343 × 804601669 × 28456110862768379236447015418042753337383
<41> × 32492162579695738619421936208309240272401
<41> × 1525396581274051290254789703070047061593463
<43> ×
1124150840782169058485020009256533394239314277956703741300759758110939050323323623016198223019966049317841<106> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2951129902 for P41 /
February 7, 2023 2023 年 2 月 7 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=3:1183778165 for P41 /
March 3, 2023 2023 年 3 月 3 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1183778323 for P43 x P106 /
March 4, 2023 2023 年 3 月 4 日)
9×10250+2 = 9
(0
)2492
<251> = 2 × 11 × 19 × 1787 × 13273991537
<11> × 158011750817281
<15> × 2353667087488315163
<19> × 761999792178223445019253981753
<30> ×
[32029552148609417387745777399140594400084843481566152841662790859302688399549081073685257449039427381527102511415307061832913223492265600059414684979289348030774929171219409<173>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3122972686 for P30 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10251+2 = 9
(0
)2502
<252> = 2 × 29 ×
[15517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862068965517241379310344827586206896551724137931034482758620689655172413793103448275862069<251>]
Free to factor
9×10252+2 = 9
(0
)2512
<253> = 2 × 11 × 17
2 × 41 × 23539 × 76579 × 3006686057
<10> × 21120529954054475217290299927233104179409003
<44> × 39884116470002121237085126255676898323278709569
<47> ×
7562189544859756482092120616763844230054426003067903536610985282276842690093903269654404693980811765551208971151398517370861157945813415361<139> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:573541050 for P47 /
April 4, 2023 2023 年 4 月 4 日) (Dmitry Domanov / GMP-ECM B1=43000000, sigma=2528717441 for P44 x P139 /
May 5, 2023 2023 年 5 月 5 日)
9×10253+2 = 9
(0
)2522
<254> = 2 × 67 × 4583 × 15569 × 46104847 × 5702217828130468781914094409888139081
<37> ×
35804428533796547565084768091067291048250010910226289100617277525361774777418494272764774210786493143583984136415669328983737521970252666263233806815401581965161771880744834131696931549845532982324427<200> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4194176103 for P37 x P200 /
February 7, 2023 2023 年 2 月 7 日)
9×10254+2 = 9
(0
)2532
<255> = 2 × 11 × 331579 × 9462007831915531
<16> ×
[13039156803155865058784926576844543682902716412485727302516617915328987735471868939530698588235639201239081914570415028607375803973744339012613030433851530146049593603036337402713820960202771643811234003978853741461048610692174624459<233>]
Free to factor
9×10255+2 = 9
(0
)2542
<256> = 2 × 7 × 1390421 × 48025721 ×
9627072928353932853754337377073613618206095015256066429419564938850154700283376254598960126036023095198555075070053765452081412303388316010047002921378131303812642579965668354979273695435625242436163380344315051710640006767941731275951572723<241>
9×10256+2 = 9
(0
)2552
<257> = 2 × 11 × 11987 × 5144569 × 60266012497
<11> × 592638392869114699
<18> × 4536236897509928299850696861438257507
<37> ×
[409451399446631287486020090713162280398209204762760576567119047637037275697945138399234011613807928090227754140946551898927497671493671174047469861407645068681849715832960083598057<180>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:58542662 for P37 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10257+2 = 9
(0
)2562
<258> = 2 × 41 × 83 × 149 × 33721 × 7947532329769041610142869
<25> ×
3311551762274150462790406080630838558059506170512969163547287862095680866289528028516318816361589554405608441940324391563872483642288282883616337012070988703699375740035265662520645225910293449717869308462503164308126768467<223>
9×10258+2 = 9
(0
)2572
<259> = 2 × 11
4 × 94169 × 133283 × 7940627 × 130560602203
<12> ×
[23620664679418412658931475301586793717550537309113792448575841624999450764560610452943179169631600326748928354436244650888363950679303089992618102336335275460970493348926333069661730908794240635441917947455910143853114021940403<227>]
Free to factor
9×10259+2 = 9
(0
)2582
<260> = 2 × 607 × 2063 × 468920465679331903156126637624382192821
<39> ×
[76634690383185658757303393199840055556149447169650253224042403289774140286185653679510278079324991567343975836757322302812978817498971689163570040080510107619464787242617687026376263653300802266220637599280050001741<215>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3349712680 for P39 /
March 3, 2023 2023 年 3 月 3 日)
Free to factor
9×10260+2 = 9
(0
)2592
<261> = 2 × 11 × 139 × 929 × 8274011 × 62451721 × 113746979 × 118744972393
<12> ×
45391413567705490914018329379157071651680291996438860092854455929490078013363373928836134296363085891030693350567553956532436103757720141889867581134199050827235462583496930716507367670875434763219005169093490754622638473<221>
9×10261+2 = 9
(0
)2602
<262> = 2 × 7 × 107 × 5669288313875841605427187
<25> ×
1059746893839037455337289577918598132958481886840276059614330146600640338091749764825691464895207234013591417944919971162634324523797011479326637552116158142660569864326507977219468044409487700366510763250587549256418910819345697757127<235>
9×10262+2 = 9
(0
)2612
<263> = 2 × 11 × 41 × 52657257918625322897215162747
<29> ×
[1894862635349749167659196208917683651188857912676039412967488606587101508675394431678204686681215514377422346765567922340960104730689168458599344347400900964100116272096690910636073796815480214929223887884853411843703831311379281233<232>]
Free to factor
9×10263+2 = 9
(0
)2622
<264> = 2 × 1487 × 34747 × 335095403 ×
[25990567417538542565860434789275521430391119424009635801512058348742774850719156442285309495022576397162928919323494122160695346299090734967230669207805463353482720460537350831550859099973782228104499627311647740979656337317789370366009527185137303<248>]
Free to factor
9×10264+2 = 9
(0
)2632
<265> = 2 × 11 × 75347 ×
5429425313428657954651026704326769359219224509149788192085828355354680224947123430141997570030537501040639851740492774641446784995964127183684697587042736816450434776313709781531990777216200922519687699455971583594448472943967124226457710206233704183191223153<259>
9×10265+2 = 9
(0
)2642
<266> = 2 × 23 × 43 × 35803 × 3818027 ×
[332857087198496830716004332139557841577184100102819524597280944438019271621070340596651825952450491103932236873681569254872640244378021553951925393696383429256238317170606408173210964720314986780149285696390623133526695686864491241238309686829880365389<252>]
Free to factor
9×10266+2 = 9
(0
)2652
<267> = 2 × 11 × 4773049 × 7195579 × 7807991484760531
<16> ×
[152552334879675373694040855561669804392223728051041337283206820712233806271935924807815886144851399425412838889934712268382284471555292608814529884218133922638919393944227879354419110431839129417961968953686956260814500385783923767472091<237>]
Free to factor
9×10267+2 = 9
(0
)2662
<268> = 2 × 7 × 41 × 181 × 109621820624468680049
<21> × 30818461719089780863292849
<26> ×
[25641538184280054379862356391483745666345306082637570608049397935776282796873067330495611421976073047948297575239655443654358034073701782862309932561440075626391043853214358745106075198797706160624923198070584769200483<218>]
Free to factor
9×10268+2 = 9
(0
)2672
<269> = 2 × 11 × 17 × 19 × 491 × 18211 × 426672938179059994337
<21> ×
[3319761784816390889421011272668184710540623203273010842535180357489059509484855331629288848326673955127839577834148208508355139100068948910918501846486489536979384852084958522617358158707400631914280079330427794805805229342929380162468641<238>]
Free to factor
9×10269+2 = 9
(0
)2682
<270> = 2 × 809 × 84325280171482198087
<20> ×
[6596388097160095367281510143553615347374626122574638373507767076275788615864506842384956670938304303759005632507653975724565964265130367319248938238121306754618473742030235690339563102161668792447917033783752974475015547053803970623195005028486047<247>]
Free to factor
9×10270+2 = 9
(0
)2692
<271> = 2 × 11 × 115325633170954627496584847746719001
<36> ×
[3547267834935597011265126940854836027236972694162384958775870310479570808188411997193081477817240807789448621569031402839451175266450437626845903642624555652394927178195944195841105203318155948257909850430025531130366571281678019480091<235>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1983952029 for P36 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10271+2 = 9
(0
)2702
<272> = 2 × 22721 × 72847223 × 9391103993801
<13> × 1244699256686364561398184972745303
<34> ×
[2325899746490507542930841699694731704784766076696429604488696732896330387276061746890488835102713149299715219186563550296659585393917146841154353389104886524860162295650802641840080788158169118535458145211837135049<214>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1452988409 for P34 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10272+2 = 9
(0
)2712
<273> = 2 × 11 × 41 ×
997782705099778270509977827050997782705099778270509977827050997782705099778270509977827050997782705099778270509977827050997782705099778270509977827050997782705099778270509977827050997782705099778270509977827050997782705099778270509977827050997782705099778270509977827051<270>
9×10273+2 = 9
(0
)2722
<274> = 2 × 7 × 452974909 × 3925172445764399189
<19> × 2958118040481227585420863681
<28> ×
[122226699831572144879614328881852354689404261239062133427592284146687899150725481882823527384599556478791855124755262348959682082743462646507873762941142661618526904495489025336123260607840871709665793228438982424651703<219>]
Free to factor
9×10274+2 = 9
(0
)2732
<275> = 2 × 11 × 449 × 26439655906736663849
<20> × 1477803630275907887059
<22> × 614197037342704348074571
<24> ×
[379658600473539597299323735302541655918201033935752940852247228154086038583189092452340517349012910614788726234622543942711889321535266557408195468725848478778025999170811250564670074582136207653532012332219<207>]
Free to factor
9×10275+2 = 9
(0
)2742
<276> = 2 × 1301 × 612891289 × 1610492230729
<13> × 125435562457607
<15> × 90760110384893726478345767
<26> ×
[30780625247106101069394667053733569908378629570910412408779268498710092734919356742105379474285570761711710357444908898498795472924130709506756684479469956542290332979470637933029244847213742370756063224246501709<212>]
Free to factor
9×10276+2 = 9
(0
)2752
<277> = 2 × 11 × 163 × 92419 × 4289660803
<10> × 4816920019233720329609
<22> ×
1314251772442229835901548620393386423175956402296000088355623004169124857906977831559900184563151564269931575796494671238482452798250810496082199825165064284557948052454084723267363914924715660912144694750278050711083330232750800864256689<238>
9×10277+2 = 9
(0
)2762
<278> = 2 × 41 ×
[1097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097560975609756097561<277>]
Free to factor
9×10278+2 = 9
(0
)2772
<279> = 2 × 11 × 593 × 3331 × 21206712643
<11> × 26250124575707
<14> × 1659020225945640645206153
<25> × 176976034208017451351672209
<27> × 323550597435747037616862747923427334459
<39> ×
391631338009738786492211970237658978209011697383725678505832915853830668194173528326125674977741761157546388174709186108365712990435591441238391581397597040939<159> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1603826332 for P39 x P159 /
February 7, 2023 2023 年 2 月 7 日)
9×10279+2 = 9
(0
)2782
<280> = 2 × 7 × 29 × 89 × 1277736023
<10> × 121913326973507
<15> × 11403207096972220360118772889921
<32> ×
[140219087111803402467876042837240709957992400630757400651850992137220478816136357075280200427535237456299098726372633238566566170158383319215264655106662110822369569104173874732234412057657267642320054863400164201527455263<222>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:440638563 for P32 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10280+2 = 9
(0
)2792
<281> = 2 × 11
2 × 59 × 2089 ×
[3017426442351631968385953786035363835580835479785220926911829659437829314378352151233949722031323434520605703432175059548910839809456896096797967407905295187788193561334992604958329005561519256779704601997764288167980264153557233974800197755423639631844470307886795011000531<274>]
Free to factor
9×10281+2 = 9
(0
)2802
<282> = 2 × 349 × 1067083 × 3250801 × 5504231043399396526941455955725903
<34> ×
[67530792391308700142097866573322197758436677037067990504407630490007428176614480473891980309716133878839995033944209501626188992132935261765254652730734927918329677393468792770151023168918327157422696780294610140024239074303646708001<233>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:471724203 for P34 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10282+2 = 9
(0
)2812
<283> = 2 × 11 × 41 × 18899 × 524201 × 560281 × 409616548995948110996009789938393
<33> ×
[4388498076347527291250235468099218054081926958863466853047865062529577988817148308877016470392779622105669158139420292863002976669295426735465580778678919086083518917135185437014050424815232310597419824977646612781822193882031791153<232>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2363112133 for P33 /
February 7, 2023 2023 年 2 月 7 日)
Free to factor
9×10283+2 = 9
(0
)2822
<284> = 2 × 22076649159731169572078981
<26> × 1158976338068534314603554951245883344967061
<43> ×
1758752745708291284379890265921663275495069648222572075624606507105888599023775760738784264306527901131350711548074030713668474938150386161162456876275775898887036933471047686205055429626775984268596567702064784236761<217> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1938609814 for P43 x P217 /
March 3, 2023 2023 年 3 月 3 日)
9×10284+2 = 9
(0
)2832
<285> = 2 × 11 × 17 × 3529 × 2770753 × 229547626180899772991092495633
<30> × 740579699858759773080524784100034219
<36> ×
1447694176535823577826878479317076997643871130620774084899282444496355286192948956398183645519865761976603148624594815315989238770546038965633298573133824600689353286480407240944444843005788101947661676726977<208> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3438020381 for P30, B1=1000000, sigma=1:1445614331 for P36 x P208 /
February 7, 2023 2023 年 2 月 7 日)
9×10285+2 = 9
(0
)2842
<286> = 2 × 7 × 20047 × 285238787 × 12527365579104911908356569
<26> ×
8974220809678835093434438248907338537258977951424630474241433029451386140975403692945353762879590816511242045174874235750146419113933173619786542470908899248899862068186781963516069410759276558611537257789300267299350901747142924024257046652854123<247>
9×10286+2 = 9
(0
)2852
<287> = 2 × 11 × 19 × 43 × 67 × 113 × 131 × 2851 × 9755188808886435973922251535823589852056154843
<46> ×
181526625121294235488043305228735222673114875063655578354992777986415003823917187377356868996599143382198517480716320229514394849214334141006041988083578094439231181093351677123788179366193383674023978785448814663973386718712411<228> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:2433779422 for P46 x P228 /
March 17, 2023 2023 年 3 月 17 日)
9×10287+2 = 9
(0
)2862
<288> = 2 × 23 × 41 × 103567 × 95391763 × 183499301 × 402695681 × 132401516641
<12> × 398784809487779239960363
<24> ×
[12380141161971640283565324382823534627446308102662588595296041615465237337094120375372736606599984040888528662423488632469163283558576498648979399679744102631363241024055408713227133396233839769822299296560081953665187229<221>]
Free to factor
9×10288+2 = 9
(0
)2872
<289> = 2 × 11 × 1667 × 80508299 × 68361748037441
<14> × 1783449307188089758744920401782592891
<37> ×
[25001706304632026793922082506282490885327148159152074813345986513545808554592482119913975373210356047000449214104013489152947025211540345182113032081097540335546113594363496394255354190801147833208377090093629949506798629189017<227>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2214789105 for P37 /
March 3, 2023 2023 年 3 月 3 日)
Free to factor
9×10289+2 = 9
(0
)2882
<290> = 2 × 7791569 ×
[5775473463688764098732873956452160020658226860340965985156519822900881709447737676455152999350965126536131554504619031160476150567363261494571889179188427902005359896062012670362028495159319002372949530447590209366046812907644147154443476018758224434642111235875598355093819999540529<283>]
Free to factor
9×10290+2 = 9
(0
)2892
<291> = 2 × 11 × 257 × 3158315278930743882497
<22> ×
50400079789567457072790949639137693857524590456633915995204328704954714737377191231643726278249089409018483564300592077313809877520013480056839708589891181175894020680556270589399880318281604651143486599209391652750739065619340126250387474199799587289121212852252579<266>
9×10291+2 = 9
(0
)2902
<292> = 2 × 7
2 × 5749 × 690045174047633708767
<21> ×
23149765824442767675501438459809234578732550990795893327519885781924184945475148375621371459695795064117676994454507925666674031568431328378228794582951398385946069382016579234899252169760213837495785660484565521763271522571905632293791558344936344167434215231646003<266>
9×10292+2 = 9
(0
)2912
<293> = 2 × 11 × 41 × 10388731 × 15642873007459
<14> ×
[613983854914411171207187435540630163319543040882053128437023123189095198829602499730436406313949941994616151517048296413798336379082543583393870804859310410481766028091606762816116789677346451287374935260364137327497589492798206975762077790845053085299319120015031689019<270>]
Free to factor
9×10293+2 = 9
(0
)2922
<294> = 2 × 47 × 61 × 13147 × 1768609 × 576756846438756259669
<21> ×
11703979936909398737960107909746874925994357802118291236639098092750071880052562098727114427449129905002263314324786772270185523516783114073412021018837862025810215279578299597811033592178648826435664850905462857960697362199724103784467798986861142593085611069<260>
9×10294+2 = 9
(0
)2932
<295> = 2 × 11 × 379 × 378635494577
<12> × 3556892455307
<13> × 35340405722483
<14> × 10388143108067363
<17> × 426442013802377059800233161592338591002433
<42> × 1808824654847228185168390317847953052553251
<43> × 254580773526080427959969571681042796533848203
<45> ×
11117241742723098241977790993056260963595137963451543072352037105006784259265456089125951105802961984439158291<110> (Dmitry Domanov / for P42 /
March 23, 2023 2023 年 3 月 23 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:1326048396 for P45 /
March 26, 2023 2023 年 3 月 26 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:1326049077 for P43 x P110 /
March 26, 2023 2023 年 3 月 26 日)
9×10295+2 = 9
(0
)2942
<296> = 2 × 1609 × 2611564029869
<13> ×
[10709169474713026950678294527786858981033303703715103208955010150018147697646405480734965708260141339035942479598337827429728863391403917530209353049529789807402449506005531260761280634605329851110444815884200266310324694781182177253174490854476777456118730852848907342668236861181<281>]
Free to factor
9×10296+2 = 9
(0
)2952
<297> = 2 × 11 × 443 ×
[92345577672891442643135645392981736096860250359121690950133388056638620972706751487789862507695464806074286886927970449415144674738354196593474245844449004719885081058895957315821875641288733839523907243997537451262056228196183049456187153704083726657090088241329776318489636774061153293658937<293>]
Free to factor
9×10297+2 = 9
(0
)2962
<298> = 2 × 7 × 41 × 65407971023
<11> ×
[239717610307729869141643852646917771407854893695037041708733996964095198437315907019417108263958364014070380220242640632440634918373728459962967944952266088617954389124542286644727797573995520616279272048487381737681982655357338521554264548581263251406189417057224820568115598165276401<285>]
Free to factor
9×10298+2 = 9
(0
)2972
<299> = 2 × 11 × 83 ×
[49288061336254107338444687842278203723986856516976998904709748083242059145673603504928806133625410733844468784227820372398685651697699890470974808324205914567360350492880613362541073384446878422782037239868565169769989047097480832420591456736035049288061336254107338444687842278203723986856516977<296>]
Free to factor
9×10299+2 = 9
(0
)2982
<300> = 2 × 223 × 915705979310386181
<18> ×
[2203695580595248083105873965467556010424333255821803285831414473515269560148263869460983227184665918839906027127084730568752600785754013154510951646277100388914923887799125403234724689575160283321998733638077281123776988444393906792208884458023395999105676599779696866757141993427<280>]
Free to factor
9×10300+2 = 9
(0
)2992
<301> = 2 × 11 × 17 × 21171305249292558282329843
<26> ×
[1136640884425336013993237304662185737180260279974390083916365505043520268787120016470416878744544767708817089287043651816881043092100498551473043405836020408267085415761442355808252328457165029960471939651624146438387291266389268316860803225428319337760872632370662794744961<274>]
Free to factor