29w2 = { 22, 292, 2992, 29992, 299992, 2999992, 29999992, 299999992, 2999999992, 29999999992, … }
3×105-8 = 299992 = 2
3 × 7 × 11 × 487
3×106-8 = 2999992 = 2
3 × 29 × 67 × 193
3×107-8 = 29999992 = 2
3 × 11 × 340909
3×108-8 = 299999992 = 2
3 × 43 × 71
2 × 173
3×109-8 = 2999999992
<10> = 2
3 × 11 × 479 × 71171
3×1010-8 = 29999999992
<11> = 2
3 × 19 × 73 × 2703677
3×1011-8 = 299999999992
<12> = 2
3 × 7 × 11 × 8863 × 54949
3×1012-8 = 2999999999992
<13> = 2
3 × 1151 × 325803649
3×1013-8 = 29999999999992
<14> = 2
3 × 11 × 1123 × 303569983
3×1014-8 = 299999999999992
<15> = 2
3 × 2837 × 8179 × 1616113
3×1015-8 = 2999999999999992
<16> = 2
3 × 11
2 × 523 × 23633 × 250741
3×1016-8 = 29999999999999992
<17> = 2
3 × 2984977 × 1256291087
<10>
3×1017-8 = 299999999999999992
<18> = 2
3 × 7 × 11 × 1433 × 468187 × 725897
3×1018-8 = 2999999999999999992
<19> = 2
3 × 73
2 × 7219 × 9747842549
<10>
3×1019-8 = 29999999999999999992
<20> = 2
3 × 11 × 17 × 2966651 × 6759634327
<10>
3×1020-8 = 299999999999999999992
<21> = 2
3 × 1908007603
<10> × 19654009733
<11>
3×1021-8 = 2999999999999999999992
<22> = 2
3 × 11 × 23099 × 553747 × 2665225853
<10>
3×1022-8 = 29999999999999999999992
<23> = 2
3 × 503 × 103699 × 71893348920067
<14>
3×1023-8 = 299999999999999999999992
<24> = 2
3 × 7 × 11 × 977 × 84239 × 5917425189829
<13>
3×1024-8 = 2999999999999999999999992
<25> = 2
3 × 12043 × 31138420659304160093
<20>
3×1025-8 = 29999999999999999999999992
<26> = 2
3 × 11 × 340909090909090909090909
<24>
3×1026-8 = 299999999999999999999999992
<27> = 2
3 × 23 × 47 × 73 × 475206873392216745023
<21>
3×1027-8 = 2999999999999999999999999992
<28> = 2
3 × 11 × 103 × 17291 × 46811 × 408915269663203
<15>
3×1028-8 = 29999999999999999999999999992
<29> = 2
3 × 19 × 26461223 × 7458779250400919827
<19>
3×1029-8 = 299999999999999999999999999992
<30> = 2
3 × 7 × 11 × 43 × 529807 × 14021101 × 1524657439387
<13>
3×1030-8 = 2999999999999999999999999999992
<31> = 2
3 × 163073189 × 2299580956867164718291
<22>
3×1031-8 = 29999999999999999999999999999992
<32> = 2
3 × 11 × 293 × 547 × 14827 × 143459842044477422777
<21>
3×1032-8 = 299999999999999999999999999999992
<33> = 2
3 × 1873 × 123989 × 187003 × 863498841522806089
<18>
3×1033-8 = 2999999999999999999999999999999992
<34> = 2
3 × 11 × 3181 × 10717041524963562058815123889
<29>
3×1034-8 = 29999999999999999999999999999999992
<35> = 2
3 × 29 × 73 × 123433 × 14350899570449256747968059
<26>
3×1035-8 = 299999999999999999999999999999999992
<36> = 2
3 × 7
2 × 11 × 17 × 109 × 59702743 × 628887262034487135479
<21>
3×1036-8 = 2999999999999999999999999999999999992
<37> = 2
3 × 5578214332751
<13> × 67225814145987069895249
<23>
3×1037-8 = 29999999999999999999999999999999999992
<38> = 2
3 × 11
2 × 94664263 × 327385800671052418636884113
<27>
3×1038-8 = 299999999999999999999999999999999999992
<39> = 2
3 × 557 × 17419 × 3865029859159342606862664563953
<31>
3×1039-8 = 2999999999999999999999999999999999999992
<40> = 2
3 × 11 × 61 × 67 × 35099 × 245893631 × 479803501 × 2014320205003
<13>
3×1040-8 = 29999999999999999999999999999999999999992
<41> = 2
3 × 409 × 24865201 × 3000427869533
<13> × 122894598401929267
<18>
3×1041-8 = 299999999999999999999999999999999999999992
<42> = 2
3 × 7 × 11 × 967 × 503632871781785949314387783881062061
<36>
3×1042-8 = 2999999999999999999999999999999999999999992
<43> = 2
3 × 73 × 2309 × 22732657 × 53938631 × 1814405509501642176221
<22>
3×1043-8 = 29999999999999999999999999999999999999999992
<44> = 2
3 × 11 × 59 × 71 × 233 × 151275713 × 760812614399
<12> × 3034767245022311
<16>
3×1044-8 = 299999999999999999999999999999999999999999992
<45> = 2
3 × 539170722011704421
<18> × 69551254304171847889296019
<26>
3×1045-8 = 2999999999999999999999999999999999999999999992
<46> = 2
3 × 11 × 1009 × 521831 × 17101042228271
<14> × 3786125116680862356901
<22>
3×1046-8 = 29999999999999999999999999999999999999999999992
<47> = 2
3 × 19 × 379 × 244509760482753749
<18> × 2129816839981100926774051
<25>
3×1047-8 = 299999999999999999999999999999999999999999999992
<48> = 2
3 × 7 × 11 × 684791 × 62776663 × 11328809457422226943984259965739
<32>
3×1048-8 = 2999999999999999999999999999999999999999999999992
<49> = 2
3 × 23 × 78649 × 15496321 × 13377705239733424303070463154248097
<35>
3×1049-8 = 29999999999999999999999999999999999999999999999992
<50> = 2
3 × 11 × 643 × 376556329450680959
<18> × 1407983799238226169384069857
<28>
3×1050-8 = 299999999999999999999999999999999999999999999999992
<51> = 2
3 × 43 × 73 × 130844957 × 6546346633
<10> × 13947101628230943162002462161
<29>
3×1051-8 = 2
(9
)502
<52> = 2
3 × 11 × 17 × 173 × 11591604587184321968409013631726994528762634849
<47>
3×1052-8 = 2
(9
)512
<53> = 2
3 × 10321099 × 363333400832605132457309052068970562146531101
<45>
3×1053-8 = 2
(9
)522
<54> = 2
3 × 7 × 11 × 10857314219
<11> × 44855751357064690750386855595984940425073
<41>
3×1054-8 = 2
(9
)532
<55> = 2
3 × 499 × 4339 × 331651 × 470812469839891
<15> × 1109204962446942020300301599
<28>
3×1055-8 = 2
(9
)542
<56> = 2
3 × 11 × 431 × 1420511 × 556822417213655364889530498713316214526495149
<45>
3×1056-8 = 2
(9
)552
<57> = 2
3 × 601 × 91513 × 1063386214519034039
<19> × 641184443755344193130202487657
<30>
3×1057-8 = 2
(9
)562
<58> = 2
3 × 11 × 1812262755175428395111
<22> × 18811239702163975288501670538545819
<35>
3×1058-8 = 2
(9
)572
<59> = 2
3 × 73 × 88558452897535695895897
<23> × 580067303943699454292868775402079
<33>
3×1059-8 = 2
(9
)582
<60> = 2
3 × 7 × 11
2 × 197 × 224740649290718510838492379793718049371025836185042461
<54>
3×1060-8 = 2
(9
)592
<61> = 2
3 × 374999999999999999999999999999999999999999999999999999999999
<60>
3×1061-8 = 2
(9
)602
<62> = 2
3 × 11 × 103 × 57283139 × 1003445596157791015783
<22> × 57581200896068099112731299919
<29>
3×1062-8 = 2
(9
)612
<63> = 2
3 × 29 × 529517 × 1221203183
<10> × 243857071113486163
<18> × 8200306427707521732726578467
<28>
3×1063-8 = 2
(9
)622
<64> = 2
3 × 11 × 23304299 × 68337487 × 964223709649
<12> × 22200651948979916543305790327855657
<35>
3×1064-8 = 2
(9
)632
<65> = 2
3 × 19
2 × 97 × 107090841591227118256846674472399120427221064054602050432647
<60>
3×1065-8 = 2
(9
)642
<66> = 2
3 × 7 × 11 × 487012987012987012987012987012987012987012987012987012987012987
<63>
3×1066-8 = 2
(9
)652
<67> = 2
3 × 73 × 121949 × 42124054329021664906630067790521458723425478672478962404787
<59>
3×1067-8 = 2
(9
)662
<68> = 2
3 × 11 × 17 × 728878757427791
<15> × 6188205373964811841817
<22> × 4446001954840300337522723291
<28>
3×1068-8 = 2
(9
)672
<69> = 2
3 × 19063400003731
<14> × 18903028990433238305597
<23> × 104063758326297235970937677520457
<33>
3×1069-8 = 2
(9
)682
<70> = 2
3 × 11 × 6247 × 2774738924799250151
<19> × 1966730939952935864065742696134882055001316397
<46>
3×1070-8 = 2
(9
)692
<71> = 2
3 × 23 × 811 × 29641 × 51319703080235571043
<20> × 132161692317576588294545856283905613200241
<42>
3×1071-8 = 2
(9
)702
<72> = 2
3 × 7 × 11 × 43 × 1578045319949869
<16> × 4103035638344404739021761
<25> × 1749231647915775583916222101
<28>
3×1072-8 = 2
(9
)712
<73> = 2
3 × 47 × 67 × 34684548270667
<14> × 3433385466485107344393633536527915371948280637217815953
<55>
3×1073-8 = 2
(9
)722
<74> = 2
3 × 11 × 1084160091857
<13> × 1646677457554714695429251
<25> × 190957458363474482733901838036459887
<36>
3×1074-8 = 2
(9
)732
<75> = 2
3 × 73 × 513698630136986301369863013698630136986301369863013698630136986301369863
<72>
3×1075-8 = 2
(9
)742
<76> = 2
3 × 11 × 10546973 × 90355789 × 55431499401532281719
<20> × 645354198061495135809494670867147091363
<39>
3×1076-8 = 2
(9
)752
<77> = 2
3 × 768623 × 162670043423
<12> × 65621480412043
<14> × 2804016591088342247
<19> × 162998536989548174647985611
<27>
3×1077-8 = 2
(9
)762
<78> = 2
3 × 7
2 × 11 × 113 × 5477 × 32573 × 218749 × 30664869105179
<14> × 514489323995151710501493576004202003396686627
<45>
3×1078-8 = 2
(9
)772
<79> = 2
3 × 71 × 1877 × 74554511 × 37742852544600767194415388619632047309153617141161930114081991627
<65>
3×1079-8 = 2
(9
)782
<80> = 2
3 × 11 × 191 × 27893 × 755352851525873
<15> × 7301358613556629
<16> × 41677580828068673
<17> × 278390193737567665310923
<24>
3×1080-8 = 2
(9
)792
<81> = 2
3 × 127982575050667119111606594498560549
<36> × 293008637973990572068441383814878771699988051
<45> (Eric Jeancolas / ECM for P36 x P45 /
April 12, 2022 2022 年 4 月 12 日)
3×1081-8 = 2
(9
)802
<82> = 2
3 × 11
2 × 82757 × 181544158479371
<15> × 937602871191593
<15> × 220008748590010308769563976976246767590281689
<45>
3×1082-8 = 2
(9
)812
<83> = 2
3 × 19 × 73 × 3413 × 37507 × 318601 × 19729889059
<11> × 503812207144657066492456031
<27> × 6669076912495814612756225543
<28>
3×1083-8 = 2
(9
)822
<84> = 2
3 × 7 × 11 × 17 × 4363 × 70935826757304950197947696631751
<32> × 92563714337803952025019995466324632787608247
<44> (Eric Jeancolas / ECM for P32 x P44 /
April 12, 2022 2022 年 4 月 12 日)
3×1084-8 = 2
(9
)832
<85> = 2
3 × 390359 × 10806076945720955580911
<23> × 88899437963192267713532021742838405107914236852132914551
<56>
3×1085-8 = 2
(9
)842
<86> = 2
3 × 11 × 163 × 229 × 205981 × 1225789441
<10> × 36171994621186851930516305647355204350248653798425439938666825327
<65>
3×1086-8 = 2
(9
)852
<87> = 2
3 × 647 × 5501 × 66571 × 1711687866624857335609
<22> × 92464641285301455922229367890756812858802529079714703
<53>
3×1087-8 = 2
(9
)862
<88> = 2
3 × 11 × 661 × 228874201 × 616768842385265358529281479
<27> × 365357356029445250937267057583582940644422044711
<48>
3×1088-8 = 2
(9
)872
<89> = 2
3 × 149 × 863 × 5519 × 7229 × 39619 × 256142737 × 272746367 × 264089451706366530910908023347249405641448356902422027
<54>
3×1089-8 = 2
(9
)882
<90> = 2
3 × 7 × 11 × 1410406927
<10> × 12299285872142221854883
<23> × 126178388383041426201599
<24> × 222500626561893515982693669285593
<33>
3×1090-8 = 2
(9
)892
<91> = 2
3 × 29 × 73 × 307 × 1299533 × 5071747 × 87544152129694429071275379375622367916449726119156443517487611180779671
<71>
3×1091-8 = 2
(9
)902
<92> = 2
3 × 11 × 18323408337847
<14> × 18605113449605507091368447213069485954633683297013574562372019753933938014347
<77>
3×1092-8 = 2
(9
)912
<93> = 2
3 × 23 × 43 × 12917 × 81509 × 265873 × 9657973393
<10> × 13796516131
<11> × 1016571846381083541156834506940926448288453349787174833
<55>
3×1093-8 = 2
(9
)922
<94> = 2
3 × 11 × 87119 × 3034853 × 1308291954552325001558390768133649
<34> × 98556068406257628481679031900196721973671415463
<47> (Eric Jeancolas / ECM for P34 x P47 /
April 12, 2022 2022 年 4 月 12 日)
3×1094-8 = 2
(9
)932
<95> = 2
3 × 173 × 6581 × 1460982414113279
<16> × 2254489855451485646960616324560969384560771585879634603415435052256469937
<73>
3×1095-8 = 2
(9
)942
<96> = 2
3 × 7 × 11 × 103 × 5171 × 5881 × 760807 × 1586655731
<10> × 3854596571274905846266533963731
<31> × 33414999995408814517608105974870305577
<38> (Eric Jeancolas / ECM for P31 x P38 /
April 12, 2022 2022 年 4 月 12 日)
3×1096-8 = 2
(9
)952
<97> = 2
3 × 263 × 196558799 × 7254091501179679017445180435951368111498492749210667664999989745519532712390011885927
<85>
3×1097-8 = 2
(9
)962
<98> = 2
3 × 11 × 1493 × 3251 × 60617 × 26491399949627815919
<20> × 20885258224841960960411933837
<29> × 2094221470875737927250107833214081513
<37>
3×1098-8 = 2
(9
)972
<99> = 2
3 × 73 × 655583 × 6615576496229
<13> × 19637959194671
<14> × 716232066193813391
<18> × 70996488486473002456709
<23> × 118611294518884455755041
<24>
3×1099-8 = 2
(9
)982
<100> = 2
3 × 11 × 17 × 61 × 55207 × 6733661581
<10> × 17335779093808539019927527860333
<32> × 5101184462631804742618569435386238474711650822287
<49> (Eric Jeancolas / ECM for P32 x P49 /
April 12, 2022 2022 年 4 月 12 日)
3×10100-8 = 2
(9
)992
<101> = 2
3 × 19 × 8663 × 33767 × 34222081 × 6850180740712747
<16> × 2399898189539662829377514465299
<31> × 1199266248028789809288644541390496757
<37> (Eric Jeancolas / ECM for P31 x P37 /
April 12, 2022 2022 年 4 月 12 日)
3×10101-8 = 2
(9
)1002
<102> = 2
3 × 7 × 11 × 59 × 4069896021782684999
<19> × 69665395056039483187900549
<26> × 29113077247504145190841274108062643623246710429631243
<53>
3×10102-8 = 2
(9
)1012
<103> = 2
3 × 2213 × 39623 × 10284726861092823147007484625461
<32> × 415824177387945685943427821833961870097814317824209274947983841
<63> (Eric Jeancolas / ECM for P32 x P63 /
April 12, 2022 2022 年 4 月 12 日)
3×10103-8 = 2
(9
)1022
<104> = 2
3 × 11
2 × 6151570079
<10> × 1773350276661830966222884594129
<31> × 2840961802197414807483028581350515087907957459651355700138009
<61> (Eric Jeancolas / ECM for P31 x P61 /
April 12, 2022 2022 年 4 月 12 日)
3×10104-8 = 2
(9
)1032
<105> = 2
3 × 94652215939
<11> × 27457243307443
<14> × 14429243079043296771951859465533592179648056705760523888189292834059860870272087
<80>
3×10105-8 = 2
(9
)1042
<106> = 2
3 × 11 × 67 × 196087 × 2594866251563259874145942156113395212336140856370492484648027394092973116722017701015068083858521
<97>
3×10106-8 = 2
(9
)1052
<107> = 2
3 × 73 × 509 × 177868859577047
<15> × 567401794145099292856535744356385406091200691346428900021502113199906962481729053111781
<87>
3×10107-8 = 2
(9
)1062
<108> = 2
3 × 7 × 11 × 2093537 × 460325465605037
<15> × 5444099375468660099
<19> × 138905862455794241441108047
<27> × 668264331329158065237668396871644312291
<39>
3×10108-8 = 2
(9
)1072
<109> = 2
3 ×
374999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<108>
3×10109-8 = 2
(9
)1082
<110> = 2
3 × 11 × 5347 × 249534387967
<12> × 35067473397653
<14> × 763213341464694127812241
<24> × 9546574480476514794230236055158793575143595031465939117
<55>
3×10110-8 = 2
(9
)1092
<111> = 2
3 × 253912279401109012528909532621
<30> × 1840586155644564533572209376325994023
<37> × 80240090982852223414726768425307851750711053
<44> (Eric Jeancolas / ECM for P30 x P37 x P44 /
April 12, 2022 2022 年 4 月 12 日)
3×10111-8 = 2
(9
)1102
<112> = 2
3 × 11 ×
34090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<110>
3×10112-8 = 2
(9
)1112
<113> = 2
3 × 283 × 2039 ×
6498716720071676512944577210820103390250538526992203272927039340631536625900938761292603420577883220660027<106>
3×10113-8 = 2
(9
)1122
<114> = 2
3 × 7 × 11 × 43 × 71 × 193865579 × 3781383184433109562763525766981404421376391
<43> × 217601729643117167432649514962804851014343681190634332611
<57> (Eric Jeancolas / ECM for P43 x P57 /
April 12, 2022 2022 年 4 月 12 日)
3×10114-8 = 2
(9
)1132
<115> = 2
3 × 23 × 73 × 167 × 72269 × 214243 × 6756773395993514473
<19> × 3008690772126449397305251
<25> × 4249017364528356978220670274561337167041358209267627923
<55>
3×10115-8 = 2
(9
)1142
<116> = 2
3 × 11 × 17 ×
20053475935828877005347593582887700534759358288770053475935828877005347593582887700534759358288770053475935828877<113>
3×10116-8 = 2
(9
)1152
<117> = 2
3 × 4391 × 208911653 × 599474670101188201003
<21> × 5578547528248060833846588203910083083
<37> × 12223995751911283164118108570873082526566176637
<47> (Eric Jeancolas / ECM for P37 x P47 /
April 12, 2022 2022 年 4 月 12 日)
3×10117-8 = 2
(9
)1162
<118> = 2
3 × 11 × 233823898735064075449273574287
<30> × 145797368341445933581385958093968961131971118681702734434839620964708193276955471610707
<87> (Eric Jeancolas / ECM for P30 x P87 /
April 12, 2022 2022 年 4 月 12 日)
3×10118-8 = 2
(9
)1172
<119> = 2
3 × 19 × 29 × 47 × 41183037005689
<14> × 42120548954628976301
<20> × 83477496902560600408598459566194139561377926670479876482857109522692239853033403
<80>
3×10119-8 = 2
(9
)1182
<120> = 2
3 × 7
2 × 11 × 311 × 522943 × 48564316152793801
<17> × 8691548835852214052966813
<25> × 1013475622943441462031436817529566868624556531894493168261088014209
<67>
3×10120-8 = 2
(9
)1192
<121> = 2
3 × 619 × 26711 × 1794665149139621063
<19> × 129369335894055358109
<21> × 65329649995833245278066098678193
<32> × 1495289769299350153791597285689718150918481
<43> (Eric Jeancolas / ECM for P32 x P43 /
April 12, 2022 2022 年 4 月 12 日)
3×10121-8 = 2
(9
)1202
<122> = 2
3 × 11 × 96223 × 1400629221253857584497299579666566755402799117
<46> × 2529510618047344875659401190697686881176572872794467036199721137785999
<70> (Eric Jeancolas / ECM for P46 x P70 /
April 12, 2022 2022 年 4 月 12 日)
3×10122-8 = 2
(9
)1212
<123> = 2
3 × 73 × 547 × 2693 × 213721 × 2062332255506853388938989
<25> × 79147157059360723102506241
<26> × 9996398857408221417673480421721229065658112495727649072757
<58>
3×10123-8 = 2
(9
)1222
<124> = 2
3 × 11 × 131 × 4051987 × 10666106837
<11> ×
6021342265396111687379541171831436675756445705890528808497169784182348355969086001673545065248603448881<103>
3×10124-8 = 2
(9
)1232
<125> = 2
3 × 20508744103907081676907006852855048768496956675200903647
<56> × 182848836623086767209025482229593276983689405114165268254956809154017
<69> (Dmitry Domanov / Msieve 1.54 snfs for P56 x P69 /
April 14, 2022 2022 年 4 月 14 日)
3×10125-8 = 2
(9
)1242
<126> = 2
3 × 7 × 11
2 × 60317 × 1099035214528464868427831
<25> × 667877044402258883171090401353564103259088062097940496540398489850779840062546545181447337571
<93>
3×10126-8 = 2
(9
)1252
<127> = 2
3 × 23978192214873173741086373
<26> ×
15639210689427841947262584261493986770930831363457506889045579210561368988059725498598035720598564563<101>
3×10127-8 = 2
(9
)1262
<128> = 2
3 × 11 × 3602578892894032479108517516003
<31> × 94629181218355216968904011524582357559591391209548913597091280684826520233019008649166825914303
<95> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2057662883 for P31 x P95 /
April 12, 2022 2022 年 4 月 12 日)
3×10128-8 = 2
(9
)1272
<129> = 2
3 × 45533 × 4166410198579
<13> × 220991306954569
<15> × 230070975184255490859220162541
<30> × 61753767501609106194473498424413
<32> × 62956778168551238373523851349702441
<35> (Eric Jeancolas / ECM for P30 x P32 x P35 /
April 12, 2022 2022 年 4 月 12 日)
3×10129-8 = 2
(9
)1282
<130> = 2
3 × 11 × 103 × 4969 × 3068717 × 32646907 × 1993918959119
<13> × 913728389385949021
<18> × 405281921017699709069286218827
<30> × 900433465039736172643936259546292878132515015501
<48> (Eric Jeancolas / ECM for P30 x P48 /
April 12, 2022 2022 年 4 月 12 日)
3×10130-8 = 2
(9
)1292
<131> = 2
3 × 73 × 1297 × 2565111002419158378891764215013
<31> × 343318952943072824677422515167517
<33> × 44974307889432520166964555064323233128549844169157429434356999
<62> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3953130361 for P31, B1=1000000, sigma=1:3132507197 for P33 x P62 /
April 12, 2022 2022 年 4 月 12 日)
3×10131-8 = 2
(9
)1302
<132> = 2
3 × 7 × 11 × 17 × 1913 × 2046955388089729037593931
<25> × 30791259494736362432593885877597545193
<38> × 237596927228430724436445269992373874036261983272457617970195809
<63> (Eric Jeancolas / ECM for P38 x P63 /
April 12, 2022 2022 年 4 月 12 日)
3×10132-8 = 2
(9
)1312
<133> = 2
3 × 13007 × 9017794104565845460718893271
<28> ×
3197082271633859062020786822569895079701997225837944660361204445783298453185576581284328543390671767<100>
3×10133-8 = 2
(9
)1322
<134> = 2
3 × 11 × 9533 × 36299 × 142741649120754529
<18> × 25378968381832275437527
<23> × 19437324005716871024927013733350544009
<38> × 13991142503176784809875104826189050523121847341
<47> (Eric Jeancolas / ECM for P38 x P47 /
April 12, 2022 2022 年 4 月 12 日)
3×10134-8 = 2
(9
)1332
<135> = 2
3 × 43 × 35377365577
<11> × 426775484156829671
<18> × 74670931279145593843546381252045203701216665219
<47> × 773546260884615275983450993916865630861386488057184406241
<57> (Eric Jeancolas / ECM for P47 x P57 /
April 12, 2022 2022 年 4 月 12 日)
3×10135-8 = 2
(9
)1342
<136> = 2
3 × 11 × 367 × 964383084289
<12> ×
96321432819590447852023903315864322772852030393697707353239646772193113740607332542445501534790210239947364867550227443<119>
3×10136-8 = 2
(9
)1352
<137> = 2
3 × 19 × 23 × 359 × 6653 × 514853 × 3183536602297427348837
<22> × 1646380232687109429879071182033
<31> × 1705816232907064893341502884347199
<34> × 780517019671814741083171306750374623
<36> (Eric Jeancolas / ECM for P31 x P34 x P36 /
April 12, 2022 2022 年 4 月 12 日)
3×10137-8 = 2
(9
)1362
<138> = 2
3 × 7 × 11 × 173 × 10259 × 8179307879
<10> × 446386177261
<12> × 708844071233
<12> × 318733727333093
<15> × 332646825414775833624918698760047109883919169671683093362990420731726322164835131
<81>
3×10138-8 = 2
(9
)1372
<139> = 2
3 × 67 × 73 × 7873469 × 955416782284511
<15> ×
10192356776550410360541119744789877067831497002126781627182682449002852386111237592806756159518571130690148673071<113>
3×10139-8 = 2
(9
)1382
<140> = 2
3 × 11 × 223 × 7079066613074494147013313689880350300447945064388285912027
<58> × 215952243641064175593662354545557493663221924642452001244001007785185635686329
<78> (Ignacio Santos / GNFS, Msieve for P58 x P78 /
April 14, 2022 2022 年 4 月 14 日)
3×10140-8 = 2
(9
)1392
<141> = 2
3 ×
37499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<140>
3×10141-8 = 2
(9
)1402
<142> = 2
3 × 11 × 6043 × 29317698375600487
<17> ×
192422616555443846744123057917403504170908023636005328331570904330213647625652961133962953251389682313634748990645774849<120>
3×10142-8 = 2
(9
)1412
<143> = 2
3 × 313 × 2924353 ×
4096916709756488895795064421278520558670551794996921571321733361235047727533765424614187535820503586468746754456723503490800825281591<133>
3×10143-8 = 2
(9
)1422
<144> = 2
3 × 7 × 11 × 109 × 34429 ×
129774581171832422311736075655493918474161553856743611700029121762080508987119879740006627916622717783782930217781784401667735565098067<135>
3×10144-8 = 2
(9
)1432
<145> = 2
3 × 983 × 4268183 × 11843453 × 111344977343
<12> ×
67777531270864845820824144891178438845564661041645456835730980360693219626677784080797619736130393997235418019121029<116>
3×10145-8 = 2
(9
)1442
<146> = 2
3 × 11 × 28167815970121
<14> × 12346017151773932155423927
<26> × 187140121147433632877009477
<27> × 5238315180406994987016443543097725164740725766077290758089914867339947893641751
<79>
3×10146-8 = 2
(9
)1452
<147> = 2
3 × 29 × 73 × 149323 × 229963 × 8745883312782635141
<19> × 3473719301887222614243900184597949
<34> × 16979595381192297841925537391212170867244517582903985313479329194525331408276667
<80> (Eric Jeancolas / ECM for P34 x P80 /
April 12, 2022 2022 年 4 月 12 日)
3×10147-8 = 2
(9
)1462
<148> = 2
3 × 11
3 × 17 × 11362888872541742149820986544335021574696805049
<47> × 1458530554511691731452317063232909926764446287652258771762657263231564254185371331020396858869213
<97> (Ignacio Santos / GNFS, Msieve for P47 x P97 /
April 17, 2022 2022 年 4 月 17 日)
3×10148-8 = 2
(9
)1472
<149> = 2
3 × 71 × 461 × 2621 × 165823309898398589675669
<24> × 21501928563490342766993253621283
<32> × 12259760282847397029424041523513696105364733754348268378130405370068731210099487263087
<86> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1017130866 for P32 x P86 /
April 12, 2022 2022 年 4 月 12 日)
3×10149-8 = 2
(9
)1482
<150> = 2
3 × 7 × 11 × 2699 × 2930743 × 409661999 ×
150291438671188725243820419997558042230824462645079520076061113881843648597491950169538841388396174156172683591909769224103596409<129>
3×10150-8 = 2
(9
)1492
<151> = 2
3 × 4400350181
<10> × 11483941186011126432959
<23> ×
7420840018127385729725485967772646327235047040590136027227699092772916009634147545654390145900112460900942371521623981<118>
3×10151-8 = 2
(9
)1502
<152> = 2
3 × 11 × 181 × 2143 × 462957690452225305469393310439433
<33> ×
1898438504979935139767029722241335601753000557909077325939992809347256730876659480803288538184174967764506633631<112> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2612729176 for P33 x P112 /
April 12, 2022 2022 年 4 月 12 日)
3×10152-8 = 2
(9
)1512
<153> = 2
3 × 571 × 11083 × 1546057 × 5287253 × 111918739 ×
6477082432098248442288478395036360603382990416657570387686831385182509752653387350935948588513251756485215026836023139504897<124>
3×10153-8 = 2
(9
)1522
<154> = 2
3 × 11 × 257 × 1249 × 200597 × 4898099 × 499505878097
<12> × 6294003868597010464697
<22> × 658172707180379279520061
<24> × 52237640272169218155798535795927798185821359496713316464405912534965520865879
<77>
3×10154-8 = 2
(9
)1532
<155> = 2
3 × 19 × 73 × 2113 × 11377339 × 885037357939724344089921743
<27> ×
127072919557367068780601353963095081301679072517476559953145148403686743945328930779612046647909666048981019943977<114>
3×10155-8 = 2
(9
)1542
<156> = 2
3 × 7 × 11 × 43 × 30503951 × 5840243620820608480849
<22> × 26128542888853870999835206227354670998178719851535871201
<56> × 2433155345829105243213743187114895388487200805871643411972443282991
<67> (Ignacio Santos / GNFS, Msieve for P56 x P67 /
April 17, 2022 2022 年 4 月 17 日)
3×10156-8 = 2
(9
)1552
<157> = 2
3 × 643 × 10651 × 211151 × 13779297545471
<14> × 44172783922819
<14> × 1898480101243212911534310069892757827
<37> × 224413443065684620847578861510099664556728457831379135110003862186084880445702791
<81> (Ignacio Santos / GNFS, Msieve for P37 x P81 /
April 17, 2022 2022 年 4 月 17 日)
3×10157-8 = 2
(9
)1562
<158> = 2
3 × 11 × 197 × 8221 × 49656267993539727913775016050658088378143879119891961144247224883
<65> × 4239099709959012368532385539926024412675037440029347064776155131554230176795368068479
<85> (Bob Backstrom / Msieve 1.54 snfs for P65 x P85 /
April 19, 2022 2022 年 4 月 19 日)
3×10158-8 = 2
(9
)1572
<159> = 2
3 × 23 × 66067 × 40246080501320240055452746691961262662631590218049560093
<56> × 613190268051370058357638101983005282942274513139416114411587940742124295616176796772755118218623
<96> (Bob Backstrom / Msieve 1.54 snfs for P56 x P96 /
April 17, 2022 2022 年 4 月 17 日)
3×10159-8 = 2
(9
)1582
<160> = 2
3 × 11 × 59 × 61 × 1946647 × 875651087693
<12> × 576553925508711720809279
<24> ×
9638257085081188406027940768082527098622790834709740894906750500020810894507131127780402898688900980817036513799<112>
3×10160-8 = 2
(9
)1592
<161> = 2
3 × 97 × 677 × 1013 × 315539249585142082867874363044213877
<36> ×
178652061122507480099588843086741251698616306272530228334516666180126028266473451967164902865088608466852370256572171<117> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3529300689 for P36 x P117 /
April 12, 2022 2022 年 4 月 12 日)
3×10161-8 = 2
(9
)1602
<162> = 2
3 × 7
2 × 11 × 38364481 × 76831536548482185773
<20> × 2091842810005701567916971590235145871
<37> × 4967100827587336792733715105899914207
<37> × 2271651123492516448593438107693650871355280732485503216881
<58> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1146232165 for P37 /
April 18, 2022 2022 年 4 月 18 日) (Dmitry Domanov / Msieve 1.54 gnfs for P37 x P58 /
April 19, 2022 2022 年 4 月 19 日)
3×10162-8 = 2
(9
)1612
<163> = 2
3 × 73 × 21201647 × 9792408407
<10> ×
24742825379484998053124108220321431648303458598277481932019118474537101598014229328269388159209748716354038806196340186562625315009535842755647<143>
3×10163-8 = 2
(9
)1622
<164> = 2
3 × 11 × 17
2 × 103 × 8357724088721767008050414590559
<31> × 29400879121357011334939190162191877941760636566861
<50> × 46607431373973028519084175062432994225989707960604334031794185147560082745273
<77> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1949740050 for P31 /
April 12, 2022 2022 年 4 月 12 日) (Taiyo Kodama / Msieve 1.53 for P50 x P77 /
April 22, 2022 2022 年 4 月 22 日)
3×10164-8 = 2
(9
)1632
<165> = 2
3 × 47 × 51219499 × 17566147703173032656588521649087034500011
<41> ×
886791564950469000816368265529802421582523298326418990065341480099777584554006205234157387429516875390450268311353<114> (Bob Backstrom / GMP-ECM 7.0.4 B1=11130000, sigma=1:2965304424 for P41 x P114 /
April 16, 2022 2022 年 4 月 16 日)
3×10165-8 = 2
(9
)1642
<166> = 2
3 × 11 × 27337789679
<11> × 1443871085106066069111017414989
<31> ×
863667873791613308739068091273111514077367238010421619975898017771258220403895284963159757661987031868900916912392090082239<123> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4062379562 for P31 x P123 /
April 12, 2022 2022 年 4 月 12 日)
3×10166-8 = 2
(9
)1652
<167> = 2
3 × 163 × 7013 × 1100353 × 3244592660805557140569177019112704064857
<40> ×
918856329068981324162415949332154100740969014998912771178164155705535360491129116604873750165742024931295972251001<114> (Bob Backstrom / Msieve 1.54 snfs for P40 x P114 /
April 17, 2022 2022 年 4 月 17 日)
3×10167-8 = 2
(9
)1662
<168> = 2
3 × 7 × 11 × 179 × 1369451 × 36121097 × 223283329783
<12> × 904540553131403691422616646117818857428650628812334991
<54> × 272330159443227128584139180317965452538042114629442571016371666315957702818184676683
<84> (Taiyo Kodama / Msieve 1.53 for P54 x P84 /
April 22, 2022 2022 年 4 月 22 日)
3×10168-8 = 2
(9
)1672
<169> = 2
3 × 29501 × 93931997 × 9210605809
<10> × 7465731046384866553531242667774071881192629971257827
<52> × 1967978902144841748870435488053336424273694810392088810337492496715999773239170441548523865469
<94> (Bob Backstrom / Msieve 1.54 snfs for P52 x P94 /
April 30, 2022 2022 年 4 月 30 日)
3×10169-8 = 2
(9
)1682
<170> = 2
3 × 11
2 × 5333 × 4492127550275309545781631001
<28> × 147415793476745077482806550871284583
<36> ×
8775628302354893532887549482472214508154240692925122895760252748661128868392330273750513525855247221<100> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:736996862 for P36 x P100 /
April 12, 2022 2022 年 4 月 12 日)
3×10170-8 = 2
(9
)1692
<171> = 2
3 × 73 × 124249 × 4186487318742671
<16> × 216772240095280803574437683771678668846709
<42> ×
4555772827339349200707120343310199076230615442737404180109680644282212040092831591103463828456204159571533<106> (Taiyo Kodama / Msieve 1.53 for P42 x P106 /
April 24, 2022 2022 年 4 月 24 日)
3×10171-8 = 2
(9
)1702
<172> = 2
3 × 11 × 67 × 1867 × 269186942672531854037416609274043253106106571691
<48> ×
1012431087341837070140252511026426487049250842258834062203114179948708737314886023908118635883653466300705059327409591<118> (Bob Backstrom / Msieve 1.54 snfs for P48 x P118 /
April 16, 2022 2022 年 4 月 16 日)
3×10172-8 = 2
(9
)1712
<173> = 2
3 × 19 × 159437 × 349801 × 14385133079
<11> × 93244720543853
<14> × 177516953303521476511829
<24> × 1231558753333969528959677507851
<31> × 12067974936404183923914910216353663019178149629448159669219703063510395389987917621
<83> (Eric Jeancolas / ECM for P31 x P83 /
April 12, 2022 2022 年 4 月 12 日)
3×10173-8 = 2
(9
)1722
<174> = 2
3 × 7 × 11 × 5110932551
<10> × 19640649284192039
<17> × 13167001186394974161089257839317008524464023
<44> ×
368466218741497340364693499713669040951050145552769236139911913445867478250206418706365585437839717421<102> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1865839320 for P44 x P102 /
April 18, 2022 2022 年 4 月 18 日)
3×10174-8 = 2
(9
)1732
<175> = 2
3 × 29 × 191 × 317621 × 313946143488384239803
<21> × 5446245429966144805681
<22> × 28640016377930057006087639
<26> × 640399798138800011331484867
<27> × 6796947014673591836888708240821147027541198468201827519131114080418119
<70>
3×10175-8 = 2
(9
)1742
<176> = 2
3 × 11 × 27491323 ×
12400606944565414661597373502508078970623170478521201365642137008433203054320415605647313120976720214923483642126248013203690091266582219745877966328106177687079995783<167>
3×10176-8 = 2
(9
)1752
<177> = 2
3 × 43 × 11261 × 59281762524498024793
<20> × 236622263756588467246757375644973
<33> × 1528678340798820964536568554601908446507790704089201
<52> × 3611544988384323988574769977929112238042119279887114391349100401917
<67> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1871873016 for P33 /
April 12, 2022 2022 年 4 月 12 日) (Taiyo Kodama / cado-nfs 3.0.0 for P52 x P67 /
April 15, 2022 2022 年 4 月 15 日)
3×10177-8 = 2
(9
)1762
<178> = 2
3 × 11 × 293 × 1030259333
<10> × 147535255242107399
<18> × 1860093770319146518636319007960282657578855226964501
<52> × 411522660046527783508383212421946510705608725309360371456922886790398780850719889702461486519239
<96> (Bob Backstrom / Msieve 1.54 snfs for P52 x P96 /
April 27, 2022 2022 年 4 月 27 日)
3×10178-8 = 2
(9
)1772
<179> = 2
3 × 73 × 719 × 48015791 × 48070839217
<11> ×
30953782413177967528201108457596862999148880475838047546844501209275760216037217818447999617799613144000801745071571474689956476975200736890371542127051191<155>
3×10179-8 = 2
(9
)1782
<180> = 2
3 × 7 × 11 × 17 × 356856823493447252826338360528765966489947
<42> ×
80278198088023576853313695545262514049734477206321211775580845088067539529983842559718180113311246869431552941929236809893258610495313<134> (Bob Backstrom / GMP-ECM 7.0.4 B1=11490000, sigma=1:3359370941 for P42 x P134 /
April 16, 2022 2022 年 4 月 16 日)
3×10180-8 = 2
(9
)1792
<181> = 2
3 × 23 × 173 × 2166162164422101983
<19> × 10203286836675240015698727918082049862319074895164707131122715625520907
<71> × 4264089060792765925065803324838778996882446594293787128157293621554479587411709238933801
<88> (Bob Backstrom / Msieve 1.54 snfs for P71 x P88 /
April 16, 2022 2022 年 4 月 16 日)
3×10181-8 = 2
(9
)1802
<182> = 2
3 × 11 × 9719 × 69538912327
<11> × 39653463489101692939830469
<26> × 1756915076314175092843380919355798833433
<40> ×
7240310829771071398561450821623500969226982051859726897367660533491975324273941910235916075300344609<100> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3274397600 for P40 x P100 /
April 17, 2022 2022 年 4 月 17 日)
3×10182-8 = 2
(9
)1812
<183> = 2
3 × 8737 × 387433 × 11967119 × 12980387252947149315442403324036501
<35> × 168166137565961145707403863229658801
<36> × 424088517945676770707688086938580285050748138322685774771982882011455046309112427458887751994101
<96> (Bob Backstrom / GMP-ECM 7.0.4 B1=10780000, sigma=1:3964017859 for P35 x P36 x P96 /
April 16, 2022 2022 年 4 月 16 日)
3×10183-8 = 2
(9
)1822
<184> = 2
3 × 11 × 71 × 1225963 × 56057765864669554951710225088311113958607900387
<47> ×
6986619397463812524834431259467573955191948301949856761121579804724464892569134520873505304028619980624589653310523502023135259<127> (Bob Backstrom / Msieve 1.54 snfs for P47 x P127 /
April 17, 2022 2022 年 4 月 17 日)
3×10184-8 = 2
(9
)1832
<185> = 2
3 × 389 × 55716446124336471702629
<23> × 15313657153356154574893083489930574689731937723564632783
<56> ×
11298462265650384588558401551655628786678396634387341052426794076584604968162224263000350939039215186713<104> (Bob Backstrom / Msieve 1.54 snfs for P56 x P104 /
April 17, 2022 2022 年 4 月 17 日)
3×10185-8 = 2
(9
)1842
<186> = 2
3 × 7 × 11 × 102367 × 220144662609651724858065835228950739719903765322059953
<54> ×
21610877728582191090534076199359280243712998439589890853713466123682457986447855051149640313405324057358800819092367026789237<125> (Bob Backstrom / Msieve 1.54 snfs for P54 x P125 /
April 18, 2022 2022 年 4 月 18 日)
3×10186-8 = 2
(9
)1852
<187> = 2
3 × 73 × 34193475718759860341
<20> × 39769908309001473338208165796076993236953063463351366549375371531174789893
<74> × 3777553027185577722975855172201016661412916424059426362462024669784367754578380018785823951
<91> (Bob Backstrom / Msieve 1.54 snfs for P74 x P91 /
April 18, 2022 2022 年 4 月 18 日)
3×10187-8 = 2
(9
)1862
<188> = 2
3 × 11 × 2357 × 3096915131
<10> × 28423420331
<11> × 574124110948257791482239959998857187
<36> × 39840073902672097212160551022219251181754886317
<47> × 71836875926354036263686472960649553436026550265530517644829132661837905299306423
<80> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1286847832 for P36 /
April 12, 2022 2022 年 4 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P47 x P80 /
April 16, 2022 2022 年 4 月 16 日)
3×10188-8 = 2
(9
)1872
<189> = 2
3 × 1367 × 217901 × 4426291995889
<13> × 23924080168175827
<17> × 37602343101160297
<17> × 84801589026859481200875862958214334815452831
<44> × 372828687915912986814323751752242898953618970060245380662757645646775170048818520446179257
<90> (Bob Backstrom / GMP-ECM 7.0.4 B1=24770000, sigma=1:232395718 for P44 x P90 /
June 21, 2022 2022 年 6 月 21 日)
3×10189-8 = 2
(9
)1882
<190> = 2
3 × 11 × 113 × 2999 × 788231 × 8354161 × 21809569 × 60245747467761049895791054681
<29> × 2347691851819510954389104840591611061431439473165840571759
<58> × 4952366176339970344341174928794924113889202230961490355695143242003497376427
<76> (Eric Jeancolas / cado-nfs-3.0.0 for P58 x P76 /
July 17, 2022 2022 年 7 月 17 日)
3×10190-8 = 2
(9
)1892
<191> = 2
3 × 19 × 2966697474447048228686103793
<28> ×
66527990384128516195344838190945001365539204999818958081057100559997433133110384258253300617272942778409269841733432154657320178611790136083145725347924440428597<161>
3×10191-8 = 2
(9
)1902
<192> = 2
3 × 7 × 11
2 × 7669 ×
5773100522919747898706871667670159828672850401415225559655910892886200796441553207280634111203463613994796204163313778174077608637051020199232008286169667883533623999964283751431536493<184>
3×10192-8 = 2
(9
)1912
<193> = 2
3 × 72049151 × 1969365807734819099597
<22> × 8269276086505853272201115116989907
<34> × 10946191737658273100878036136524500356053827669987830838739
<59> × 29197486318084838712377752050138256201703560155219944445992479831255229
<71> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:49862991 for P34 /
April 12, 2022 2022 年 4 月 12 日) (Taiyo Kodama / cado-nfs 3.0.0 for P59 x P71 /
April 17, 2022 2022 年 4 月 17 日)
3×10193-8 = 2
(9
)1922
<194> = 2
3 × 11 × 28151 × 18548124665606633526952543
<26> × 8998716954001693177082115965291
<31> × 402743248821279377709126934570648879456617691613104277
<54> × 180150672957579675464138557303440035168987854398788256760466764557428686734659
<78> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1376202693 for P31 /
April 12, 2022 2022 年 4 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P54 x P78 /
April 16, 2022 2022 年 4 月 16 日)
3×10194-8 = 2
(9
)1932
<195> = 2
3 × 73 × 382103 × 14352537116634553243144962511278737110649744996889902928638021153238784694713240367
<83> ×
93669732822679614185260043242307237748247329240717176836019448994039878905843233701474736018529736886463<104> (Bob Backstrom / Msieve 1.54 snfs for P83 x P104 /
April 21, 2022 2022 年 4 月 21 日)
3×10195-8 = 2
(9
)1942
<196> = 2
3 × 11 × 17 × 857 × 1621 × 3833 × 24071 × 19475923 ×
803331549407413196102198913406351887723845559707658535425442840761069429924418294048174930842089657017749349678837989271684581588634976028872715789495137510991399387602869<171>
3×10196-8 = 2
(9
)1952
<197> = 2
3 × 9119063783
<10> × 10109950824054311
<17> × 4324440486649106069
<19> × 12040167425749424789
<20> × 59373673331776745251
<20> × 76813970574184065927470971
<26> × 754487437767782282412784014043340437748639
<42> × 227030065198573773732102360676612324203850537
<45> (Ignacio Santos / Yafu for P42 x P45 /
April 14, 2022 2022 年 4 月 14 日)
3×10197-8 = 2
(9
)1962
<198> = 2
3 × 7 × 11 × 43 × 103 × 797 × 4483 × 31704597294156642893
<20> × 1185030265063114046668337
<25> × 211934269186865860653437525927012823960764373006628692808578719
<63> × 3865048358081915028619115662037354475154337332276394674640965026408648765806107
<79> (Eric Jeancolas / cado-nfs-3.0.0 for P63 x P79 /
January 13, 2023 2023 年 1 月 13 日)
3×10198-8 = 2
(9
)1972
<199> = 2
3 × 193 × 8837 × 569861 × 1837393 × 104269514784411036255887217889226595551
<39> × 1627812002250120623832985545700332846479
<40> ×
1237190314730621466793426710046920329210447612932261865586716605839613444333554141475630288570011838967<103> (Taiyo Kodama / GMP-ECM 7.0.5-dev B1=3000000, sigma=1:2492753748 for P39 /
April 25, 2022 2022 年 4 月 25 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3169265246 for P40 x P103 /
May 4, 2022 2022 年 5 月 4 日)
3×10199-8 = 2
(9
)1982
<200> = 2
3 × 11 × 93651361354253384287
<20> × 61120991973382160958151926955559880119661892992884240429213949071
<65> ×
59557175569331210674949628049478489192137703571976881576980547953509121098998124056747516009558808961132428261517<113> (Bob Backstrom / Msieve 1.54 snfs for P65 x P113 /
August 28, 2022 2022 年 8 月 28 日)
3×10200-8 = 2
(9
)1992
<201> = 2
3 × 3407 × 11897159903
<11> × 97257759597666807939887794411
<29> ×
9512432200370311711139949221483225235666646840461082264098041569462313854049729698348220562912697373411553152056529518690881284919750606433551242034249517229<157>
3×10201-8 = 2
(9
)2002
<202> = 2
3 × 11 × 5092799 × 2265988239860819
<16> × 51354290013632889832865743313472017
<35> × 3160532664675845459859292990906711482769127099
<46> × 18200670290929062833277249541563132309830303915602297283450167589048560922079428244084063060924883
<98> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1541161728 for P35 /
April 12, 2022 2022 年 4 月 12 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=27840000, sigma=1:92208309 for P46 x P98 /
May 26, 2023 2023 年 5 月 26 日)
3×10202-8 = 2
(9
)2012
<203> = 2
3 × 23 × 29 × 73 × 64013 × 90979877 × 1662105654071520283
<19> ×
7956286628751454408591953469120984417235942460287876644749265114664135097420983971064350328068248390273446360145719815542124805651480278447686814755130029732864139583<166>
3×10203-8 = 2
(9
)2022
<204> = 2
3 × 7
3 × 11 × 4395229 × 119728960516733
<15> ×
18887033166021285801744316619645835713070168557319378586566412880730287390246079488617609209250880254171649167625029716854327997309095827990604109951762040017238456710336032695859<179>
3×10204-8 = 2
(9
)2032
<205> = 2
3 × 67 × 63313 × 3687941 × 107087999 × 122153491 × 96389091427664860291
<20> × 755651012359480084793602681
<27> × 756627090318592315189818790137435326711260610593707822460531
<60> × 33250783213940854609150661528750342087533631703172579889126147934101
<68> (Taiyo Kodama / cado-nfs 3.0.0 for P60 x P68 /
April 15, 2022 2022 年 4 月 15 日)
3×10205-8 = 2
(9
)2042
<206> = 2
3 × 11 × 5171 × 9962133894266089
<16> × 306966891875031487662581177
<27> × 14343151856232459216482048206694843313053
<41> ×
1503057299133302293430991157192367298326095584594708398450946385321357488807555269152713623382917452372081554421416731<118> (Bob Backstrom / GMP-ECM 7.0.4 B1=50830000 for P41 x P118 /
October 11, 2023 2023 年 10 月 11 日)
3×10206-8 = 2
(9
)2052
<207> = 2
3 × 172292323627199032213074049
<27> ×
217653341777091453340418434538088269761259988780294938499565211315080783268547266715537180473493532152637565413020977464227414512763949438948660529456556982171344759171300645351551<180>
3×10207-8 = 2
(9
)2062
<208> = 2
3 × 11 × 290837 × 2644740823
<10> ×
44320618000205944293114063779677367364301012868291847065350650080879782886119281595326653892609379927328706712341722192379121397209009791989809914119601168928456198741059028297858198795253759<191>
3×10208-8 = 2
(9
)2072
<209> = 2
3 × 19 × 383 × 66847255259927
<14> × 455168776727761
<15> × 5729577490750851609983731684006993
<34> ×
2955971567211247939806029958578097708315188073108877374154160197285900335345042408242447938562398666714283577105735263527283223841345431766397<142> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2023040325 for P34 x P142 /
April 12, 2022 2022 年 4 月 12 日)
3×10209-8 = 2
(9
)2082
<210> = 2
3 × 7 × 11 × 24113 × 6723062031823859
<16> × 5060181646381753423513640344826156396172683921749
<49> ×
593684992795382958944298314330585390746688741637457830074739749550361149089320764012082620925407874070001591308282504184770051707100969989<138> (Bob Backstrom / YAFU, GMP-ECM B1=11000, sigma=2320617332 for P49 x P138 /
October 29, 2024 2024 年 10 月 29 日)
3×10210-8 = 2
(9
)2092
<211> = 2
3 × 47 × 73 × 4993 × 48948280962542496186586124756063
<32> ×
447210034202388256866062661520665567595730859376308804201000609844676368713179600958014707992415470219045467085509163126501177916156678578960044357368318693108897320371831<171> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1617273470 for P32 x P171 /
April 12, 2022 2022 年 4 月 12 日)
3×10211-8 = 2
(9
)2102
<212> = 2
3 × 11 × 17 × 900715028841428897081449
<24> × 1367149681288919449063192709632443089693
<40> × 153565596299162070259758135564492053735480471
<45> × 355511317689087082120269306435504404407617371
<45> × 298290089834641966519424479198824500430291051987338217421
<57> (Ignacio Santos / GMP-ECM B1=3000000 for P40 /
September 17, 2023 2023 年 9 月 17 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=3000000 for P45 x P45 x P57 /
September 20, 2023 2023 年 9 月 20 日)
3×10212-8 = 2
(9
)2112
<213> = 2
3 × 3719 × 21647 × 199923616155498182450957
<24> ×
[2329932147530526012888206638591415245424388970352677809240423927971238534091757971477475253719243529464095511656319838500780657360836101177865659535365035761469827485809193171229699<181>]
Free to factor
3×10213-8 = 2
(9
)2122
<214> = 2
3 × 11
2 × 547 × 7206621788203
<13> × 86006092126349624456698134847
<29> ×
9141082439865591022215596961698411551793424749017563441637991655133528927509310750202224727037169551169458801770211568728748746635009119702938864894430852962418054697<166>
3×10214-8 = 2
(9
)2132
<215> = 2
3 × 492029 × 25535393161
<11> ×
298468166774865847933987669952924554150778186391156568949300647581379285590830444551471432889944596345898008492655490074372274564771233197729787203041610293500020733532790539200052545631141757255571<198>
3×10215-8 = 2
(9
)2142
<216> = 2
3 × 7 × 11 × 223331 × 1680001175591
<13> × 698580363812707
<15> × 20778197379494666411
<20> ×
[89424743863574454798991542958424948384879033328131620270585012978312279902657265663532409845842571403134330258386723481563930005805708987372611397118533266694511<161>]
Free to factor
3×10216-8 = 2
(9
)2152
<217> = 2
3 × 19609 ×
[19123871691570197358355857004436738232444285787138558825029323269927074302616145647406802998623081238206945790198378295680554847264011423326023764597888724565250650211637513386710184099138150849099903105716762711<212>]
Free to factor
3×10217-8 = 2
(9
)2162
<218> = 2
3 × 11 × 59 × 1571 × 1669 × 24977 × 36343 × 385431874746941159
<18> × 2525700226040624112525593
<25> ×
2493811198068390199443647476423017820208277059910674130232027402667540380692430037623651235366681998753063693763074691392480405064265969091073719037234057057<157>
3×10218-8 = 2
(9
)2172
<219> = 2
3 × 43 × 71 × 73 × 2384803 × 155497455769
<12> ×
[453738683271773611271720861619691435334122790363227606972360888753763092089136181376713438190456547490052324640453265694150057004315325413004780427179876596934013624394981304175636487910184751753<195>]
Free to factor
3×10219-8 = 2
(9
)2182
<220> = 2
3 × 11 × 61 × 1915065002629
<13> ×
[291826836884825275628048617480171667095434880890113129281913742867845695081422462666027318370803696737954088763942993587764768934690192312710179020109366588149209323297878396210182555281827096320358423661<204>]
Free to factor
3×10220-8 = 2
(9
)2192
<221> = 2
3 × 1949 × 9037564395876604320967145539889329275293299571300776980760735588153
<67> ×
212896255903670449577748791160699827273534636264164635753556142842664467565396532604506110984911788991779525968466478877185522068964606277247027554467<150> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P67 x P150 /
November 11, 2024 2024 年 11 月 11 日)
3×10221-8 = 2
(9
)2202
<222> = 2
3 × 7 × 11 × 158443 × 143644517 × 10788994211
<11> ×
1983341376700212948957645206040845036192888948212355809160710828830343083827693942784745079624515775287616697202997822012663319583416439048761532885857489340907707728640643445504503944067209342207<196>
3×10222-8 = 2
(9
)2212
<223> = 2
3 ×
[374999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<222>]
Free to factor
3×10223-8 = 2
(9
)2222
<224> = 2
3 × 11 × 173 × 1789 × 3442615037
<10> × 231129268808765684503080481530003850243
<39> ×
[1384327135886358834440181695758125931228863503285961571796289115918231365048867430934417663215956519605172482641647330436073381866321569741771421591353349954086023200867<169>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3633743792 for P39 /
April 12, 2022 2022 年 4 月 12 日)
Free to factor
3×10224-8 = 2
(9
)2232
<225> = 2
3 × 23 × 438671 × 781195179907
<12> × 7383534872737
<13> ×
644377876999877329654618681798667657741575042320645168572680954928852172493735345553184235524603476263168091824375818239989700244787224861753889200336430628501162971598951509200081608170521917<192>
3×10225-8 = 2
(9
)2242
<226> = 2
3 × 11 × 1709401913
<10> ×
[19943179442849430641236745293679269978148731070777203996899299767490719374836050678334002138846857070826906760979452051724181561209536970319917331864428006469120471313588082376909630316360299351724727531008145601093<215>]
Free to factor
3×10226-8 = 2
(9
)2252
<227> = 2
3 × 19 × 73 × 11779678441
<11> × 4515680535755705056907921989919
<31> ×
50827431223359904628137613084263751042094735632169262624351302798951231714243513019798935543426162287093008203988228266250515927544022990389360734416458495407851244700812174809473963<182> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2237120741 for P31 x P182 /
April 12, 2022 2022 年 4 月 12 日)
3×10227-8 = 2
(9
)2262
<228> = 2
3 × 7 × 11 × 17 × 255841 × 244052848561
<12> × 456447078353349006977
<21> × 38893871685782229498266831
<26> × 7576728418345258472286769908187
<31> × 14573390411218106565382009083919648715088507967
<47> × 234058095772665840400930768094437555342027502345236836855049508172546857973257317457
<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1651556595 for P31 /
April 12, 2022 2022 年 4 月 12 日) (Taiyo Kodama / cado-nfs 3.0.0 for P47 x P84 /
April 18, 2022 2022 年 4 月 18 日)
3×10228-8 = 2
(9
)2272
<229> = 2
3 × 73973 × 888059117440757
<15> × 134463465550833019
<18> ×
42453339434938243471613468438307921469687013955301695337188469973156133120139011788433095980914197034379946922857456057442320273213690038498197934452387389099236357652570798537394211897958261<191>
3×10229-8 = 2
(9
)2282
<230> = 2
3 × 11 × 312121 × 616321 ×
[1772183248669963832307825979936931816180878565771151271126644178014357614948618175979680722392694895565434231699607457319417275341470241308335393464039227895545295243812059311364311570451663653833043652442788870807749<217>]
Free to factor
3×10230-8 = 2
(9
)2292
<231> = 2
3 × 29 × 31973 × 225503 × 304943 × 58229339267048390309640354883297
<32> ×
[10100364051901029283774520505273514128295579342153712114618150726450191478169397850992215798832347275301129866795848841198139074959717506222634033435757365276703359803737216401552319<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1466606357 for P32 /
April 12, 2022 2022 年 4 月 12 日)
Free to factor
3×10231-8 = 2
(9
)2302
<232> = 2
3 × 11 × 103 × 10391 × 102189408242032096487111
<24> × 6133920704201565688552408753543681
<34> × 50080289506959493834664855573537620148891
<41> ×
1014689439942329166050585743778565403676193407121331306660902918983385298567112088895932509222194771628694127875814095698975393<127> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:305947870 for P34 /
April 12, 2022 2022 年 4 月 12 日) (Ignacio Santos / GMP-ECM B1=3000000 for P41 x P127 /
September 18, 2023 2023 年 9 月 18 日)
3×10232-8 = 2
(9
)2312
<233> = 2
3 × 1900385065751
<13> × 3606811693018536715218612409996991900443
<40> ×
547099338827946599018460011303030143018835856040546497641398788636653667306931385306711739745937793216985132984728143387355636514040528835169236709554242781741997202987100715724443<180> (Ignacio Santos / GMP-ECM B1=3000000 for P40 x P180 /
September 18, 2023 2023 年 9 月 18 日)
3×10233-8 = 2
(9
)2322
<234> = 2
3 × 7 × 11 × 599 × 17240693 × 16472633753
<11> ×
2862832632949772114827388457648909477187201471848539234077185851825712903711257676343217428497867700364877542996138328627200719674786228053265551451874565191141667956344580274305020456677487304545695487347263697<211>
3×10234-8 = 2
(9
)2332
<235> = 2
3 × 73 × 8355691639718542921
<19> × 116473923863022230227
<21> × 2849831039266665816451
<22> × 115472771742109308625845839
<27> × 188653755416263624048471187415591862643552738295853249
<54> × 85022356744148803750707581915183825830406189700833320056965146553185994511808141936187088649
<92> (ebina / Msieve 1.53 for P54 x P92 /
June 1, 2022 2022 年 6 月 1 日)
3×10235-8 = 2
(9
)2342
<236> = 2
3 × 11
2 × 2887 × 77521 × 9781646003249719444871
<22> ×
[14156888301490513777792138410827822460826526663930369401088699120649778705547401726179994753366072521574293427842399587539059164316002074422475960393955154565234660847698206637078949929184071667031097207<203>]
Free to factor
3×10236-8 = 2
(9
)2352
<237> = 2
3 × 149 × 322723271789409306015283
<24> × 30176832957307497697972518091794192077
<38> ×
[25842888669946730898970599627091336719765896216628129332734918301853773525997144068304556334600351534452874408008896548875377320187822587014896826700297100923665920681561461<173>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P38 /
August 17, 2023 2023 年 8 月 17 日)
Free to factor
3×10237-8 = 2
(9
)2362
<238> = 2
3 × 11 × 67 × 3067 × 113182610933887494206693
<24> ×
1465785076488291512921670001581569222416429231040710146667962431371452382869251780079985766476722287269609573221663554132486339859313423947532385009498332400087025045256159885257919586509417316680184932311017<208>
3×10238-8 = 2
(9
)2372
<239> = 2
3 × 269 × 3821 × 26045577457
<11> × 47431738519441
<14> ×
2953241184346956307484132360129445080034403832749763848921106883295507701185882352832256621336787143115395705593454921115294217693448895419693497594159995044608144943222695364810258194729524453089674262910023<208>
3×10239-8 = 2
(9
)2382
<240> = 2
3 × 7 × 11 × 43 ×
11325883418906674720628209000302023557837511325883418906674720628209000302023557837511325883418906674720628209000302023557837511325883418906674720628209000302023557837511325883418906674720628209000302023557837511325883418906674720628209<236>
3×10240-8 = 2
(9
)2392
<241> = 2
3 × 1216412741881
<13> × 348741506627271073
<18> × 25814573244799715762052826112484841
<35> ×
34243781532272566239207355731309603904718844363731032992101744833731742246708974260831988679418256365111687167422992139103696470669905880178812031064021170165854241515593719103<176> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:9318049 for P35 x P176 /
April 12, 2022 2022 年 4 月 12 日)
3×10241-8 = 2
(9
)2402
<242> = 2
3 × 11 ×
[340909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<240>]
Free to factor
3×10242-8 = 2
(9
)2412
<243> = 2
3 × 73 × 13513 × 58243 × 151013 × 18203137 × 24131803 × 1057134599
<10> ×
[9307483239374768590941141881413919053614174738497580548684758773172762091151489045081248770003883675919023901851261269467082427237566167306844484632185358303039180811604453582686882240425855199109349301<202>]
Free to factor
3×10243-8 = 2
(9
)2422
<244> = 2
3 × 11 × 17 × 307 × 787 × 25604496233
<11> × 455953833181559897531
<21> × 9297123706705993977933460072256830952564333
<43> ×
76469955416360878121984911451176429636621256964426581641608262508150196206192332510274211459915842176975053825837939891506214153547341605661211188136108148318467<161> (Ignacio Santos / GMP-ECM B1=3000000 for P43 x P161 /
September 18, 2023 2023 年 9 月 18 日)
3×10244-8 = 2
(9
)2432
<245> = 2
3 × 19 × 409 × 14315573 × 8970589297
<10> × 228296309758532562268297
<24> ×
16459845622870910194412475683760703288315128682176902571924552714326291438107590605562456850338086397377332440368643476478543399947097150543324031514304078620022761203586481171632487645436005550490017<200>
3×10245-8 = 2
(9
)2442
<246> = 2
3 × 7
2 × 11 × 1217 × 13613 × 859277 × 5637915256168673
<16> × 26178020311643543144639
<23> ×
[33113840185028897502161264285895840533968761744259844916404147792085036693705195691481890069267053875041546913501578272515542483887289252040916301968451056712813650379005666806776072114010459<191>]
Free to factor
3×10246-8 = 2
(9
)2452
<247> = 2
3 × 23 × 224327 × 5847603505363
<13> ×
[12429222585141516768766516959114378062136891875680982743973745431978632219907568142745857575690091649249740004633890600186898930660529891573288636863355693448318942466030361604898352628666841045373660014657666131199340174959813<227>]
Free to factor
3×10247-8 = 2
(9
)2462
<248> = 2
3 × 11 × 163 × 667859 × 1557343 × 15935846730902912945174622197
<29> ×
[126184722240110002824908678848680601702610816714195823020749291066363139179809640137396977617372758228351204630185465112626108073267375604389237298933240298134347927288573685821864823956355657492251770287<204>]
Free to factor
3×10248-8 = 2
(9
)2472
<249> = 2
3 × 479 × 3208306103
<10> × 5250723117218807595552307
<25> × 1927555755891358574292768913
<28> × 3517022650169785316237331541693823
<34> × 2630060517229490210165293136623517540777943976627867
<52> × 260647151626011821883109300851274715397645017367508341865816522752345723719145254856361866350125417
<99> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1334577792 for P34 /
April 12, 2022 2022 年 4 月 12 日) (Thomas Kozlowski / cado-nfs for P52 x P99 /
September 9, 2024 2024 年 9 月 9 日)
3×10249-8 = 2
(9
)2482
<250> = 2
3 × 11 ×
[34090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909<248>]
Free to factor
3×10250-8 = 2
(9
)2492
<251> = 2
3 × 73 × 697157 × 10730442412162366891
<20> ×
[6866891526747832595435014625348143232307998423851007153908506115117559552465225857278337232700173308416695515553576934492881462212725920602006667187064100887839930156758924465199133801911623064947398812403176498164419471249<223>]
Free to factor
3×10251-8 = 2
(9
)2502
<252> = 2
3 × 7 × 11 × 109 × 6873833 × 23799109 ×
[27312054463300500010311709144574799260319145875439230528739301319090545555513295604547689170393499754013207841974956737544705322536177616364766823291396808362224851823766149596284006434010896548011573164881003904472536278908485990819<233>]
Free to factor
3×10252-8 = 2
(9
)2512
<253> = 2
3 ×
374999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<252>
3×10253-8 = 2
(9
)2522
<254> = 2
3 × 11 × 71 × 131 × 283 × 2947271 × 34253487512218002435723917
<26> ×
1282914270830421395135031241048892841901912657532810033740146843115792851716570868574590558245819368472581331164600217276152407368052239477085831519998179569881628204895923345417549876559046273173387255574048425489<214>
3×10254-8 = 2
(9
)2532
<255> = 2
3 × 1042717212585785827
<19> ×
[35963729712493665874542431264114861139704501822578561083767561634031224404911374828390583270092063177831916718410784800693030374382084170493649825935517729293948490295355609337475518841975326578669155992141815625607224590891427201117237<236>]
Free to factor
3×10255-8 = 2
(9
)2542
<256> = 2
3 × 11 × 197 × 13859 × 111153315583
<12> ×
[112335763113382892351139971192500708929180749499595592112583780279155722550110230259062374358512207376774054587020741468698589061016528969789900493794528164953552475983514969344122763340243323474384026728786499003175182684334043439625101<237>]
Free to factor
3×10256-8 = 2
(9
)2552
<257> = 2
3 × 47 × 97 × 653 × 2131 × 10463 × 225889 × 254704517477080423769837156012914877
<36> ×
[981922221871540330126814296135035358660824907090284829350097677927822592278388888492308343229902968731368974084198985380414466286226969099997893839669053882328707763825003738032298969665267701591140093<201>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1280869040 for P36 /
April 12, 2022 2022 年 4 月 12 日)
Free to factor
3×10257-8 = 2
(9
)2562
<258> = 2
3 × 7 × 11
2 × 3491 × 14879 ×
852362363190474518610980265526665521545183081429640806256330053889771915449002196379452379603553501265138941952401590240659763429149522637539500996891687147108115124098378925427233774674131110034533401365648336696244293541063564668594514841948453<246>
3×10258-8 = 2
(9
)2572
<259> = 2
3 × 29 × 73 × 2087 × 12134836593721
<14> ×
[6994457378452719505317896007851778602750566073884170375163910731253462279691634824619436249051500339204225621690743960839115445039961507276133218665514931219054756743740736705654970845566337866513204265218113394416495928294879141490113661<238>]
Free to factor
3×10259-8 = 2
(9
)2582
<260> = 2
3 × 11 × 17 × 2048104139
<10> ×
[9791238420923320542807415117912468871173624579433581954172218425952484046800165028393001728262593025049267687104168948507546025568836936644796639441523991680618836612581828724921362389453326899435300606962386986977127329992520724435369293870683143<247>]
Free to factor
3×10260-8 = 2
(9
)2592
<261> = 2
3 × 43 × 941 × 13345177 × 64428812441131
<14> ×
[1077875806247011230057547662292642749237562928944912662694264423319210302996586815661664632222253187142843453590890253530029609448205207950026463772094192476952887019196399053747392117777363702741354740044203678837258046314532417147179<235>]
Free to factor
3×10261-8 = 2
(9
)2602
<262> = 2
3 × 11 × 26134193323708427761
<20> × 349485342259105820823266983
<27> ×
3732506024855603568628847559946111985574077952608811824576736066156380184308465390506890002805030423468071018958612010612900940503900293968664127848313903925726460915104571702400380773341946604956211592964423186443<214>
3×10262-8 = 2
(9
)2612
<263> = 2
3 × 19 × 337 × 581639 × 44618727793
<11> × 120900207414757778582079431432713
<33> ×
[186659465428097360381818670047204159696584781537323640893717615519656326100850441404950916484453244665957590276005930871299041670155110174045842700279670124501150761594024403296985630951101125330867751664809883<210>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4191312921 for P33 /
April 12, 2022 2022 年 4 月 12 日)
Free to factor
3×10263-8 = 2
(9
)2622
<264> = 2
3 × 7 × 11 × 419 × 643 × 3917 × 13568776147078718143
<20> × 120310465329284898001
<21> × 29971040651288088555001913
<26> × 100084005348113069350518839
<27> ×
94243496576160950652154845875331036594740998460079970385960873561055938842417292948923007497386675764264459505314919924728088764946223045887483616170369446228383<161>
3×10264-8 = 2
(9
)2632
<265> = 2
3 × 9129993437
<10> ×
[41073413972049934125270280848724338464165754690016213644732765649632087462802849767262105426199114145102533878196039715291199502315699200211812813814621803435147420029848593197844157442629276667682669222492673298950149070079775129634630426295672264895627<254>]
Free to factor
3×10265-8 = 2
(9
)2642
<266> = 2
3 × 11 × 103 × 289617160176486809999939
<24> ×
[11428179867175220066513837878981369582124102345555935658877483957977754790066702907158586804870737565518968335676676707981712214443054671018374528681889571297553385711983953274079185245348752643314154451537654481216442135598425987157759177<239>]
Free to factor
3×10266-8 = 2
(9
)2652
<267> = 2
3 × 73 × 173 × 911 × 5230417 × 1625121529
<10> ×
[383461501959100473838115473361415327533379578420021828976596463386378221593844216329573466521971408756180983821087289735971234624260375592617297996305189628882634613837019489873408714037408249270772812420266114859785084632530089732167602103397<243>]
Free to factor
3×10267-8 = 2
(9
)2662
<268> = 2
3 × 11 × 763368910532928103374373267
<27> × 863703638564140875166996043291
<30> ×
51705812239140230163110483117518060894022291058455602792871493006084288060892791039755627017236792759298670627307977851585329293619875406399023388300689604767701062606210597371281965682095197170619176377067997<209> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3907538215 for P30 x P209 /
April 12, 2022 2022 年 4 月 12 日)
3×10268-8 = 2
(9
)2672
<269> = 2
3 × 23 × 359740051631
<12> ×
453225815478866643209061124203011016931283493499017984546889675970012185107471341194653288717417791510420104143631616564087120786656417711738361024078221374108245008906872927304092747942947758408401063710799300654046048040954137498148338674715784512514423<255>
3×10269-8 = 2
(9
)2682
<270> = 2
3 × 7 × 11 × 191 × 229415394583
<12> ×
[11114364052867378435142857387984999836016821767431927585354806866733250502082454888196491976185315419017549927785809965568252577271416560945557458266806386614246436956265539308529930709918523575428705039017528753185123043240404674618011954064724759851779<254>]
Free to factor
3×10270-8 = 2
(9
)2692
<271> = 2
3 × 67 × 431 × 13709 × 403360937783
<12> ×
2348440602809199236255818908445117812786448432988336076010890164770142793323690218842169150969298285523483121815722502448816921200986291869512748728025177412666290994707939255474638412299678465604439006045750968953408836911901777836183249998818818321<250>
3×10271-8 = 2
(9
)2702
<272> = 2
3 × 11 × 27617 ×
12344175359709269981928127273385628746457221671763439515186627472538324549766777380203892859141437915381500854216934891881482749426407318285509254839739686030014450914621099652058843860994710109385852587503744399859111811894518198606260307386425357240434909986273277<266>
3×10272-8 = 2
(9
)2712
<273> = 2
3 × 434046831388802519
<18> ×
[86396207247989185272811603781005709583247840278900226547798316648798066176844575437331391548576997508681160036318847378100315291135144769925615109543894821766070565381678216763318133464252577184972931038956474872271179969289447425634862429844811637520921<254>]
Free to factor
3×10273-8 = 2
(9
)2722
<274> = 2
3 × 11 × 474169 × 3821639 × 2673751596152772491
<19> × 203858452835229552251993
<24> ×
34514849508286074631531239692686030732660875366819686196658148385565476369877553448711442787898844985897051171139060687546946371082565244859075763264224986312516678031648436030700685200703261579274489461589831876164673<218>
3×10274-8 = 2
(9
)2732
<275> = 2
3 × 73 × 311 × 12029847341
<11> × 24189266032363
<14> × 5242356009438629
<16> ×
108277619925551006790669546335314832912348117514511670682171700125162019465885600855114459264205100514864766999638128838421084330273252273777401467935265011735105471198978866652127723538119285144566640882385221606793675756292952019<231>
3×10275-8 = 2
(9
)2742
<276> = 2
3 × 7 × 11 × 17 × 59 × 233 × 5051429743
<10> × 961801612073
<12> ×
[428927479823797886167873816744867990481268491176154713965713280006215519527661017588505299752695205949461738772532038400835960273825210540333994916942809534050331383892043842556064295523407509037808438701894258708436814770869920563022699214065967<246>]
Free to factor
3×10276-8 = 2
(9
)2752
<277> = 2
3 × 523 × 38011 × 2585521 × 575878157 × 146872839540604271
<18> × 236895507277405040922276920996471
<33> ×
[364118958863718698777005901515773512899202493054045153909314872916381458316292167790942937455334077932685456793451237513956595378593683339231648984808075133505793275217267241596306520682051052050433899979<204>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2052524330 for P33 /
April 12, 2022 2022 年 4 月 12 日)
Free to factor
3×10277-8 = 2
(9
)2762
<278> = 2
3 × 11 × 727482463 × 217578119461023078877373
<24> × 11343897273183192172556869
<26> ×
[189862218079810685730799912673506517658446813169647963855099680692213246555343956012303379322390908275552693563652446377678373467513629247529112842650068682091953330528023940988134145124603006404162309746478532458833139<219>]
Free to factor
3×10278-8 = 2
(9
)2772
<279> = 2
3 × 10305907488616138891631
<23> × 15451894149230085769836560952036620089
<38> ×
[235485029884530479125657658416137347418457558486346297520704509092306419553687635952776605551933988904894037103876890404020662480347463803569349539724829237818122663520280859239298377546682809666504003404001928110656761<219>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3204839608 for P38 /
April 12, 2022 2022 年 4 月 12 日)
Free to factor
3×10279-8 = 2
(9
)2782
<280> = 2
3 × 11
2 × 61 × 22376051 × 22782462484343813
<17> × 3188169034772598163943999279942373323967886909
<46> ×
[31260118213824220692253778721207041452170406005932893300767379548754784939272515046605907500202754008722895810988655799143730500820840933908892111179988668882170859816840099543298363941716463821032943652737<206>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3417906260 for P46 /
June 6, 2022 2022 年 6 月 6 日)
Free to factor
3×10280-8 = 2
(9
)2792
<281> = 2
3 × 19 × 167 × 3750181991
<10> ×
[315143861147747828510872092388177704644542187494022823826231298665653615913522922403118580332335371322723607479594839583087160861606700444827352708001157980936761358549527537232019490343723496185632408820747090302753153236119095156387647333043746174087796636461544693<267>]
Free to factor
3×10281-8 = 2
(9
)2802
<282> = 2
3 × 7 × 11 × 43 × 21617 × 573028408526066068893299
<24> × 11973574532287587000068402622593
<32> ×
76361893601430372201549485668696126314760981177074072296484654936737552750951311970517500445213654177419608320442332691517760783448858500217329786134592905827167666907744317210278308009156578898663473971954217515348411<218> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4040265676 for P32 x P218 /
April 12, 2022 2022 年 4 月 12 日)
3×10282-8 = 2
(9
)2812
<283> = 2
3 × 73 × 178617097 × 929126851 × 4679983233917
<13> × 4028943473752721402308048624373
<31> ×
1641628557710961216799921867453939117015614463982004662188234177209144973668041330511486677410736092937949776655807790543640376800189649598070673075709036555589097865716522719027187329625565797531509654307518503127583269<220> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:266129366 for P31 x P220 /
April 12, 2022 2022 年 4 月 12 日)
3×10283-8 = 2
(9
)2822
<284> = 2
3 × 11 × 15607 × 9139347651043
<13> ×
[2390033313760041609427244921813686122895082162252781991487420526539419721172778556867834770040874064151885285144919024712061286895424822001678239179355169553564035795649276180758323421651612856670666107294460022170725628963851417380684243829582104922632704652838009<265>]
Free to factor
3×10284-8 = 2
(9
)2832
<285> = 2
3 × 89227 ×
[420276373743373642507312808903134701379627242874914543804005514026023513062189695944052809127282100709426518878814708552344021428491375928810785972855749941161307675927690048976206753561141806852185997511963867439228036356708171293442567832606722180505900680287356965940802671837<279>]
Free to factor
3×10285-8 = 2
(9
)2842
<286> = 2
3 × 11 × 70313 × 775507 × 52608967162292300293105045849
<29> ×
[11883858075660738004933115491662557711048860488561231689092757225380170765456456160978289910487935895227584976432487116430730718061160288448445213420129245273362418927744189610199441781606827156870554766380798171894697721919007049880446657532751<245>]
Free to factor
3×10286-8 = 2
(9
)2852
<287> = 2
3 × 29 × 1552037 ×
[83316534868425306159938019607735533677843131761456184623042558552583386909568210836068541113921630867625289683260084027946987488500374135677044492784821407008315856671831477177945877712255926710598994118363646369699726986156768880798766950832335515996963545550027213402062290863<278>]
Free to factor
3×10287-8 = 2
(9
)2862
<288> = 2
3 × 7
2 × 11 × 694867 ×
100124604937345052668252236350468509592897014210322060190143887147363043778164534058416320366140568115498980994515700129456842200843159711136296172404829580539875768006783417954599942355461448632207517412476470417465909100587802719700930848840140422969531684889135616088708242623<279>
3×10288-8 = 2
(9
)2872
<289> = 2
3 × 71 × 14627213 × 3407683009
<10> × 2573526461907381296844344218753009
<34> ×
[41174042304149730604409402296470122282060946837006845630573027675458777009492845013973755404817426080326566399459391389369734453466911641269779738800111642515306470065886029255868233768926966855793261371317451721857526750137343396638973<236>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2779109008 for P34 /
April 12, 2022 2022 年 4 月 12 日)
Free to factor
3×10289-8 = 2
(9
)2882
<290> = 2
3 × 11 × 491 ×
694315867431957044991668209590816515460099981484910201814478800222181077578226254397333827069061284947231994075171264580633216071097944825032401407146824662099611183114238104054804665802629142751342344010368450286983891871875578596556193297537493056841325680429550083317904091834845399<285>
3×10290-8 = 2
(9
)2892
<291> = 2
3 × 23 × 73 × 2087073361
<10> × 10014466877
<11> × 388581656737
<12> × 12756937354817110972397
<23> × 8743246651428887429094629
<25> × 3386074600277485910796690349325716219
<37> ×
7281436250367030244193649817293212062100687571761858450336038679369439590387925216658487966114674764442937616465091632551104020417991894007627476232584321487775858435569807<172> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3874745768 for P37 x P172 /
April 12, 2022 2022 年 4 月 12 日)
3×10291-8 = 2
(9
)2902
<292> = 2
3 × 11 × 17 × 3607 × 428569 ×
[1297247269289854864462965484946119747292148138746026910708734679124436978732013701018617901435471505323943262091377130068362136890143822038612487267030762604153592813739326652172752879824844295228238818543233357015944401507822422372670573137964299047032019116544083067613992551219<280>]
Free to factor
3×10292-8 = 2
(9
)2912
<293> = 2
3 × 1109 × 51608197679
<11> ×
65521077251630794446588493375881754681425753719902984355977981540931347590741323112178546335630908206136208001412136355492305198696137716594768236917434164658133242500455681258889327981009652087866307543065090436023129280441350820242117674881281349453359763231928427224343596909<278>
3×10293-8 = 2
(9
)2922
<294> = 2
3 × 7 × 11 × 974651 × 235820363580190070469877637
<27> ×
[2118898264341600585934608423916590670520703083805059077141496606263106361292641720955815940259993276560816861191024700150279166748900325849744985637842255288823092980394937820530926038090928576374724956737470197040242947961574408242807391713034322639043845901<259>]
Free to factor
3×10294-8 = 2
(9
)2932
<295> = 2
3 × 944625169209825091
<18> × 12238223340452429861
<20> ×
32437948514196978103837252470935838717562518087409027860897571601385421866478175062337614926148939705379380539194730542677869740514228809276820677161810970209234130234944820550101501565844718330474078671066437031398881641139522924435586836588080109066044849<257>
3×10295-8 = 2
(9
)2942
<296> = 2
3 × 11 × 8273 × 2000679606528172494173
<22> × 2439325878290140946573864892250079
<34> ×
8443610471426885801904830771659542187623494451313914638047345894099671431628892034959248065599827383843009085114770984100340131335638729445813280500093040984196347569470689107076717983327881096578918424548338156980630566046822462565999<235> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:538734328 for P34 x P235 /
April 12, 2022 2022 年 4 月 12 日)
3×10296-8 = 2
(9
)2952
<297> = 2
3 × 676051 × 908367046408631
<15> × 1191078661088451535937458469
<28> ×
51268427094465500959841207200806252952205831921480980138737273868416105221392144202204754988879886834762641942870033153166520481248931399185808490715136292132954299984500800294830119481825725066988385568573152332271132515425815226258454413923257991<248>
3×10297-8 = 2
(9
)2962
<298> = 2
3 × 11 × 1009 × 10687 × 907744493 ×
[3482795575592603692187849375392464399247804760414169870238198690298269042602466823033089708306166657385680689777464524343221348656423296336803413957593252126364298390608942864053387268643134143288363020670835896587210079062829904390733323148637826848778522395102115333333126432511<280>]
Free to factor
3×10298-8 = 2
(9
)2972
<299> = 2
3 × 19 × 73 × 327553 × 4966799 ×
[1661868439512075581214168098948638779135707484139850389476755537686299705989805873077179028588889652986777558700342496584843744662727474647626053800951796148069275254182123664103436258740548602537274955521852637476888798689702557139192255129007831763078806202778340857449265904331891<283>]
Free to factor
3×10299-8 = 2
(9
)2982
<300> = 2
3 × 7 × 11 × 103 × 18899 × 12867513512923
<14> ×
[19443294746980034190870998835002779605783570395225931476188851630540629838521443802768510943183440901458682718247536345428436289043320360447368638216148184491674980188982959151316841093504672911144872502686490213742907484910209982297810272007807908981873515841103942554509241677<278>]
Free to factor
3×10300-8 = 2
(9
)2992
<301> = 2
3 × 16661 × 127384710623
<12> ×
[176690377454299936184143400557349832140507862292315028799273129612133904269303861314907271338961098787084787536190165933091998387103958801754202567164624491092023646438001553095285386851216936243043709250832794745794234908935708595889013119860321555614514830475711059311883001897445533<285>]
Free to factor