69w2 = { 62, 692, 6992, 69992, 699992, 6999992, 69999992, 699999992, 6999999992, 69999999992, … }
7×106-8 = 6999992 = 2
3 × 47 × 18617
7×107-8 = 69999992 = 2
3 × 67 × 73 × 1789
7×108-8 = 699999992 = 2
3 × 107 × 817757
7×109-8 = 6999999992
<10> = 2
3 × 281 × 797 × 3907
7×1010-8 = 69999999992
<11> = 2
3 × 13 × 383 × 443 × 3967
7×1011-8 = 699999999992
<12> = 2
3 × 7669 × 11409571
7×1012-8 = 6999999999992
<13> = 2
3 × 12253 × 71411083
7×1013-8 = 69999999999992
<14> = 2
3 × 29 × 43 × 97 × 257 × 397 × 709
7×1014-8 = 699999999999992
<15> = 2
3 × 1363837 × 64157227
7×1015-8 = 6999999999999992
<16> = 2
3 × 73 × 1723 × 6956646181
<10>
7×1016-8 = 69999999999999992
<17> = 2
3 × 13 × 31
2 × 10369 × 67546747
7×1017-8 = 699999999999999992
<18> = 2
3 × 149 × 823 × 24631 × 28969427
7×1018-8 = 6999999999999999992
<19> = 2
3 × 179 × 2653733 × 1842034657
<10>
7×1019-8 = 69999999999999999992
<20> = 2
3 × 389 × 22493573264781491
<17>
7×1020-8 = 699999999999999999992
<21> = 2
3 × 12210619 × 7165893883021
<13>
7×1021-8 = 6999999999999999999992
<22> = 2
3 × 17 × 19 × 2708978328173374613
<19>
7×1022-8 = 69999999999999999999992
<23> = 2
3 × 13 × 661 × 6211 × 18593 × 19949 × 442009
7×1023-8 = 699999999999999999999992
<24> = 2
3 × 73 × 42299 × 31900679 × 888290803
7×1024-8 = 6999999999999999999999992
<25> = 2
3 × 181 × 1398143533
<10> × 3457623648463
<13>
7×1025-8 = 69999999999999999999999992
<26> = 2
3 × 23
2 × 237581 × 69621067013427851
<17>
7×1026-8 = 699999999999999999999999992
<27> = 2
3 × 163 × 109994252491
<12> × 4880344234303
<13>
7×1027-8 = 6999999999999999999999999992
<28> = 2
3 × 4421 × 9829 × 20136231849171845111
<20>
7×1028-8 = 69999999999999999999999999992
<29> = 2
3 × 13 × 57803 × 7826808967
<10> × 1487748728423
<13>
7×1029-8 = 699999999999999999999999999992
<30> = 2
3 × 293 × 1062650159737
<13> × 281028341783339
<15>
7×1030-8 = 6999999999999999999999999999992
<31> = 2
3 × 80554553 × 10862204151266285345783
<23>
7×1031-8 = 69999999999999999999999999999992
<32> = 2
3 × 31 × 59 × 73 × 33427 × 593889409 × 3301174681529
<13>
7×1032-8 = 699999999999999999999999999999992
<33> = 2
3 × 87499999999999999999999999999999
<32>
7×1033-8 = 6999999999999999999999999999999992
<34> = 2
3 × 2616292411
<10> × 2807721817
<10> × 119115340056277
<15>
7×1034-8 = 69999999999999999999999999999999992
<35> = 2
3 × 13 × 43 × 15652951699463327370304114490161
<32>
7×1035-8 = 699999999999999999999999999999999992
<36> = 2
3 × 1367 × 51719 × 4508603863
<10> × 274503155113769401
<18>
7×1036-8 = 6999999999999999999999999999999999992
<37> = 2
3 × 157 × 16831 × 331129963023190072004683502197
<30>
7×1037-8 = 69999999999999999999999999999999999992
<38> = 2
3 × 17 × 281 × 415409 × 13448423227
<11> × 327872915274125909
<18>
7×1038-8 = 699999999999999999999999999999999999992
<39> = 2
3 × 766970336612399429
<18> × 114085246616544841331
<21>
7×1039-8 = 6999999999999999999999999999999999999992
<40> = 2
3 × 19
2 × 73 × 619945029406631
<15> × 53558056458371510393
<20>
7×1040-8 = 69999999999999999999999999999999999999992
<41> = 2
3 × 13 × 67 × 44533 × 30584732809349
<14> × 7375700180523689057
<19>
7×1041-8 = 699999999999999999999999999999999999999992
<42> = 2
3 × 29 × 3017241379310344827586206896551724137931
<40>
7×1042-8 = 6999999999999999999999999999999999999999992
<43> = 2
3 × 12161 × 26594669 × 4717533784961
<13> × 573494366390493851
<18>
7×1043-8 = 69999999999999999999999999999999999999999992
<44> = 2
3 × 37379 × 129533 × 11972083 × 2080254074113
<13> × 72562769531683
<14>
7×1044-8 = 699999999999999999999999999999999999999999992
<45> = 2
3 × 43151 × 2825090168793089
<16> × 717769292565870651761041
<24>
7×1045-8 = 6999999999999999999999999999999999999999999992
<46> = 2
3 × 173 × 46204867 × 114882860102707
<15> × 952837818808210345427
<21>
7×1046-8 = 69999999999999999999999999999999999999999999992
<47> = 2
3 × 13 × 31 × 3889 × 9907 × 266999 × 6566809 × 477922132687
<12> × 672514632263
<12>
7×1047-8 = 699999999999999999999999999999999999999999999992
<48> = 2
3 × 23 × 73 × 450787 × 16899979009
<11> × 451735170629
<12> × 15143138829214783
<17>
7×1048-8 = 6999999999999999999999999999999999999999999999992
<49> = 2
3 × 10987 × 17592570580830794911
<20> × 4526886714828730881740707
<25>
7×1049-8 = 69999999999999999999999999999999999999999999999992
<50> = 2
3 × 7883 × 28332653 × 39176829251268507804627345118975263601
<38>
7×1050-8 = 699999999999999999999999999999999999999999999999992
<51> = 2
3 × 347 × 4561 × 90677 × 14435169642234594523
<20> × 42237623109681694507
<20>
7×1051-8 = 6
(9
)502
<52> = 2
3 × 3544399493
<10> × 246868334601694403300717321257104693982643
<42>
7×1052-8 = 6
(9
)512
<53> = 2
3 × 13
2 × 47 × 146777849 × 7505212125749690484339796669346862338257
<40>
7×1053-8 = 6
(9
)522
<54> = 2
3 × 17 × 1667 × 280199 × 2711867 × 4063390533689449550363620592396810377
<37>
7×1054-8 = 6
(9
)532
<55> = 2
3 × 266405586630563
<15> × 3284465656545720787594749094382323600373
<40>
7×1055-8 = 6
(9
)542
<56> = 2
3 × 43 × 73 × 67421 × 17988301 × 2298430634595811144769896680608455898621
<40>
7×1056-8 = 6
(9
)552
<57> = 2
3 × 3011 × 18583 × 1563800942759291555637544397872565879046556105523
<49>
7×1057-8 = 6
(9
)562
<58> = 2
3 × 19 × 2551 × 2574337 × 1686409408339753
<16> × 4158297702925788019659694856011
<31>
7×1058-8 = 6
(9
)572
<59> = 2
3 × 13 × 61 × 569 × 1451 × 13364576056623964483817832995942956122063863162797
<50>
7×1059-8 = 6
(9
)582
<60> = 2
3 × 1150949 × 31280603093
<11> × 2430394957130370505582417435348761510657607
<43>
7×1060-8 = 6
(9
)592
<61> = 2
3 × 592343 × 2047093 × 1033812183518921
<16> × 698000242001398496358226639510381
<33>
7×1061-8 = 6
(9
)602
<62> = 2
3 × 31 × 107 × 198083 × 1105381331059
<13> × 11665172175515156833
<20> × 1032790175295035885947
<22>
7×1062-8 = 6
(9
)612
<63> = 2
3 × 187813248171955951
<18> × 465888327110384298619524358342451443007678449
<45>
7×1063-8 = 6
(9
)622
<64> = 2
3 × 73 × 622483 × 9056623 × 2126137795369172126715526166585209381702249759507
<49>
7×1064-8 = 6
(9
)632
<65> = 2
3 × 13 × 6311773945513
<13> × 102477114917339
<15> × 3797895786447223
<16> × 273995437260250449743
<21>
7×1065-8 = 6
(9
)642
<66> = 2
3 × 281 × 311387900355871886120996441281138790035587188612099644128113879
<63>
7×1066-8 = 6
(9
)652
<67> = 2
3 × 4363 × 19503012820019
<14> × 62130191188989937883
<20> × 165507791566456317614920639549
<30>
7×1067-8 = 6
(9
)662
<68> = 2
3 × 9299891 × 940871242469400985452410141151116717389483382117059221446789
<60>
7×1068-8 = 6
(9
)672
<69> = 2
3 × 3079 × 155537 × 2739905861789
<13> × 66685130375490617870869596269896243392108707917
<47>
7×1069-8 = 6
(9
)682
<70> = 2
3 × 17 × 23 × 29 × 4759 × 26479 × 103502215021
<12> × 5916520439873356815216446807223502168595650361
<46>
7×1070-8 = 6
(9
)692
<71> = 2
3 × 13 × 133999330822203951047
<21> × 5022987196630036566566165476574663474324691702509
<49>
7×1071-8 = 6
(9
)702
<72> = 2
3 × 73 × 36805797257
<11> × 148813491747937121377
<21> × 218839974925491792314085794351954406767
<39>
7×1072-8 = 6
(9
)712
<73> = 2
3 × 406397 × 17727119648887963583
<20> × 121456114555035796213956936707739438257342412949
<48>
7×1073-8 = 6
(9
)722
<74> = 2
3 × 67 × 135723072601220857965413271107209
<33> × 962231494044428127279831095845889020333
<39> (Eric Jeancolas / ECM for P33 x P39 /
November 5, 2022 2022 年 11 月 5 日)
7×1074-8 = 6
(9
)732
<75> = 2
3 × 6317 × 1804940861
<10> × 4300958063
<10> × 1784304584767697904869970558533026759416151275515129
<52>
7×1075-8 = 6
(9
)742
<76> = 2
3 × 19 × 313 × 853 × 1298259390196589
<16> × 132861640592719644201411886988639212330673481261919901
<54>
7×1076-8 = 6
(9
)752
<77> = 2
3 × 13 × 31 × 43 × 2339 × 42839 × 18966543883522849198319569
<26> × 265690976411550245348462481270440899219
<39>
7×1077-8 = 6
(9
)762
<78> = 2
3 × 199 × 2399911 × 645314209 × 1242084416835931363
<19> × 228579616264155077348277697464213464922373
<42>
7×1078-8 = 6
(9
)772
<79> = 2
3 × 36559 × 780644462390011
<15> × 25522990961958027427
<20> × 1201237537620356437073191230647947725313
<40>
7×1079-8 = 6
(9
)782
<80> = 2
3 × 73 × 36787 × 4605101 × 12108193 × 38733658903003
<14> × 103942074824305239737
<21> × 14514177189494105201129563
<26>
7×1080-8 = 6
(9
)792
<81> = 2
3 × 54163 × 108217 × 14928282727294568164627271623837658678055035794881922411278955609683469
<71>
7×1081-8 = 6
(9
)802
<82> = 2
3 × 131 × 419 × 19301 × 825929396238277096780846352581902347018457036666382298388942402873409691
<72>
7×1082-8 = 6
(9
)812
<83> = 2
3 × 13 × 3347 × 6841 × 23689 × 1240916816427963631427226252874326074100832731804423449678693834250041
<70>
7×1083-8 = 6
(9
)822
<84> = 2
3 × 109 × 421 × 75643772729691759007
<20> × 104844546191211428744357722201
<30> × 240425447950756828312439927113
<30> (Eric Jeancolas / ECM for P30(1048...) x P30(2404...) /
November 5, 2022 2022 年 11 月 5 日)
7×1084-8 = 6
(9
)832
<85> = 2
3 × 113 × 134573136458241152998688894423
<30> × 57540182503372199824084917793412672353270328709109801
<53> (Eric Jeancolas / ECM for P30 x P53 /
November 5, 2022 2022 年 11 月 5 日)
7×1085-8 = 6
(9
)842
<86> = 2
3 × 17 × 3389 × 2231017519
<10> × 196943311499306239951
<21> × 345655400086729915224507650635827030195042717463867
<51>
7×1086-8 = 6
(9
)852
<87> = 2
3 × 827 × 8243 × 125600734447609
<15> × 102193921495817921784568619442329066966892515024802950600830533751
<66>
7×1087-8 = 6
(9
)862
<88> = 2
3 × 73 × 11923 × 273719 × 3672778219278107809093672074875575153344417154732148735224642935134484019499
<76>
7×1088-8 = 6
(9
)872
<89> = 2
3 × 13 × 173 × 2434153 × 3171024816319
<13> × 21259736000601927755905633
<26> × 23708998925398950382508713254400244462321
<41>
7×1089-8 = 6
(9
)882
<90> = 2
3 × 59 × 350561 × 223274267896010487255950357071
<30> × 18947580823872973202671482426161186671662108528660931
<53> (Eric Jeancolas / ECM for P30 x P53 /
November 5, 2022 2022 年 11 月 5 日)
7×1090-8 = 6
(9
)892
<91> = 2
3 × 22369 × 95803 × 44669054721923
<14> × 58326532583881
<14> × 156714598146387355680676030334363714436667892864524439
<54>
7×1091-8 = 6
(9
)902
<92> = 2
3 × 23 × 31 × 5113391 × 2399990488028556292581784948315819470403819653926566577121412421841638910792672553
<82>
7×1092-8 = 6
(9
)912
<93> = 2
3 × 16843 × 62483 × 141651877 × 586954447268901159259164093988702800365705283778748181610738918898387618723
<75>
7×1093-8 = 6
(9
)922
<94> = 2
3 × 19 × 281 × 133073 × 178207 × 5369659000465734798290659
<25> × 105343200069894841970156771
<27> × 12217439903510015682557153579
<29>
7×1094-8 = 6
(9
)932
<95> = 2
3 × 13 × 119415124249
<12> × 15026420954508555229633271
<26> × 375102375690858683438767650507427394907300035321585780837
<57>
7×1095-8 = 6
(9
)942
<96> = 2
3 × 73 × 5867 × 5118942061
<10> × 226598064618726950672702090166362214439
<39> × 176129740191375823752527088633701701251791
<42> (Eric Jeancolas / ECM for P39 x P42 /
November 5, 2022 2022 年 11 月 5 日)
7×1096-8 = 6
(9
)952
<97> = 2
3 × 331 × 14776999 × 178893192841256494682354148360964957479524075796421009586293505658882061366691216748571
<87>
7×1097-8 = 6
(9
)962
<98> = 2
3 × 29 × 43 × 3187 × 112314798211706674366831753228505264522645257
<45> × 19603000675968852943939974438935664147266903363
<47> (Eric Jeancolas / ECM for P45 x P47 /
November 5, 2022 2022 年 11 月 5 日)
7×1098-8 = 6
(9
)972
<99> = 2
3 × 47 × 168636673 × 189384551 × 31353419136744131717
<20> × 32190885726525703137633565363
<29> × 57755824272757435615106625769049
<32>
7×1099-8 = 6
(9
)982
<100> = 2
3 × 352953420047
<12> × 345310634197597963397
<21> × 7179276922035323277200821305407644726071390843266139457043072191261
<67>
7×10100-8 = 6
(9
)992
<101> = 2
3 × 13 × 2789 × 8069 × 7055713349
<10> × 4238923144533774548543285690988155880489900514265316848422504850370561435124417847
<82>
7×10101-8 = 6
(9
)1002
<102> = 2
3 × 17 × 37282202044368937
<17> × 138056727910115971734604225907974557171905896796397813464334885563569437177576563831
<84>
7×10102-8 = 6
(9
)1012
<103> = 2
3 × 22002968587135098285055272647102741
<35> × 39767361232865786743136175130157911056649526323317663704235251059139
<68> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1645419712 for P35 x P68 /
November 5, 2022 2022 年 11 月 5 日)
7×10103-8 = 6
(9
)1022
<104> = 2
3 × 73 × 11497 × 7339094925739393
<16> × 1420555338382789917118899078754506538357119337697308142430874979206388253765937903
<82>
7×10104-8 = 6
(9
)1032
<105> = 2
3 × 7310178019
<10> × 5982659873899
<13> × 495535278639041
<15> × 4037487662202980204030645317026500127932047943602067151600724213919
<67>
7×10105-8 = 6
(9
)1042
<106> = 2
3 × 3782009842396117
<16> × 8195184722269703302282695977265258559
<37> × 28231025293700214427742048259888815945529790432543933
<53> (Eric Jeancolas / ECM for P37 x P53 /
November 5, 2022 2022 年 11 月 5 日)
7×10106-8 = 6
(9
)1052
<107> = 2
3 × 13 × 31 × 67 × 188433785702801
<15> × 1719766285894357928053609528671319815613718742171706329145315268692855162665641385289799
<88>
7×10107-8 = 6
(9
)1062
<108> = 2
3 × 163 × 5853408787
<10> × 388212918015007433
<18> × 236233568697028820679765650778361605406035067870945532116142583299473222287263
<78>
7×10108-8 = 6
(9
)1072
<109> = 2
3 × 4379519605983813282613
<22> × 199793602660089108088808367311341689821691730308224755201777319435552819769659849732323
<87>
7×10109-8 = 6
(9
)1082
<110> = 2
3 × 97 × 428843 × 3756209 × 324714100309
<12> × 129676265644030013
<18> × 182454285423564220801801407164387
<33> × 7289076912251000167359879281940079
<34> (Eric Jeancolas / ECM for P33, B1=1000000, sigma=1:3896465082 for P34 /
November 5, 2022 2022 年 11 月 5 日)
7×10110-8 = 6
(9
)1092
<111> = 2
3 × 1801 × 240641 × 14848410880307
<14> × 23452870558007700399219569
<26> × 579760647385715257287569419064301529518629399128721107930081133
<63>
7×10111-8 = 6
(9
)1102
<112> = 2
3 × 19 × 73 × 218531 × 2138235418754129
<16> × 2304335993093481103
<19> × 14290628935521678600611749459
<29> × 40998302323320599746102093057243916810299
<41>
7×10112-8 = 6
(9
)1112
<113> = 2
3 × 13 × 311 × 397 ×
5451472240168814962079559097385723123774586918584909951023973394323366380677241069086663456009111123433169<106>
7×10113-8 = 6
(9
)1122
<114> = 2
3 × 23 × 463 ×
8216733965630575640905249319184899990609446896422199267536857920931542867874917832660343694243590947506808151<109>
7×10114-8 = 6
(9
)1132
<115> = 2
3 × 107 × 157 × 48461891 × 1959846708314263
<16> × 483237517217760917
<18> × 15353684057020377983
<20> × 73914376654747292370103748026678072624840116011527
<50>
7×10115-8 = 6
(9
)1142
<116> = 2
3 × 424769 × 4650661 × 18327101494104691690269886126628465567961191719
<47> × 241683371265764328307447229565182833401656883308648073269
<57> (Dmitry Domanov / Msieve 1.54 snfs for P47 x P57 /
November 7, 2022 2022 年 11 月 7 日)
7×10116-8 = 6
(9
)1152
<117> = 2
3 × 786937 × 175872702829661
<15> × 632222066182170616876532761117786957382811982274280046416383897766281091980463902092881302729507
<96>
7×10117-8 = 6
(9
)1162
<118> = 2
3 × 17 ×
51470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647<116>
7×10118-8 = 6
(9
)1172
<119> = 2
3 × 13 × 43 × 61 × 2121667589
<10> × 1023989162373410866892545855339
<31> × 47884253644261772370881671865525353
<35> × 2466612824922658976501809339603177703627
<40> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4092430942 for P31, B1=1000000, sigma=1:1901019599 for P35 x P40 /
November 5, 2022 2022 年 11 月 5 日)
7×10119-8 = 6
(9
)1182
<120> = 2
3 × 73 × 670379 ×
1787988789902877879323507595897450526196927205377403871745663723609872943064490589631091322763710824220533438997<112>
7×10120-8 = 6
(9
)1192
<121> = 2
3 × 8629 × 8284150626674554707347303
<25> × 6484390316533288644016949106433693
<34> × 1887689015300770961245085336945301882376618258449784203689
<58> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1401586438 for P34 x P58 /
November 5, 2022 2022 年 11 月 5 日)
7×10121-8 = 6
(9
)1202
<122> = 2
3 × 31 × 281 ×
1004477097922167374583859488003673516243829640684192400413270577430834576971645046492939960968889909310067730455745609<118>
7×10122-8 = 6
(9
)1212
<123> = 2
3 × 1317147627401
<13> × 8352829134781
<13> × 17777705969019670721067574649
<29> × 447367347457343222573262497156068142325235442073603708841444522211371
<69>
7×10123-8 = 6
(9
)1222
<124> = 2
3 × 556966105543
<12> × 69871266189202067
<17> × 822109937501670889
<18> × 5915349086756206151
<19> × 4623495037236425899905336573849602103191999138345557311661
<58>
7×10124-8 = 6
(9
)1232
<125> = 2
3 × 13 × 647 × 23144065067
<11> × 98538723130255007
<17> × 456156479357807159865963545942751592318082649778370653802788144765437580768311882080701678361
<93>
7×10125-8 = 6
(9
)1242
<126> = 2
3 × 29 × 10499 × 185731744608881
<15> × 159899359057597307
<18> × 42528215760952818901
<20> × 227537035612393896085375440046513554314784010729562281213349959524607
<69>
7×10126-8 = 6
(9
)1252
<127> = 2
3 × 51863143 × 1307273239
<10> × 46457923519961264871673
<23> × 277794124013174979070153966706299200341779296359981477231937176474979125757953074889719
<87>
7×10127-8 = 6
(9
)1262
<128> = 2
3 × 73 × 203353 × 575132449423581355844359826465383695718386844061
<48> × 1024865178692961847223819423181960009425113466731938295936379748328596011
<73> (Dmitry Domanov / Msieve 1.54 snfs for P48 x P73 /
November 7, 2022 2022 年 11 月 7 日)
7×10128-8 = 6
(9
)1272
<129> = 2
3 × 229 × 45361 × 1152937 × 87320791 × 32410726499
<11> × 80873723311
<11> × 19376370275486264120679957209654317075879
<41> × 1647396290106577596215554382112342139570867223
<46> (Eric Jeancolas / Dario Alpern's calculator for P41 x P46 /
November 5, 2022 2022 年 11 月 5 日)
7×10129-8 = 6
(9
)1282
<130> = 2
3 × 19 × 1992654319
<10> × 22008532963
<11> × 12201265790387
<14> × 376731565147856768520289314646589209
<36> × 228451753062278167461793573839622888733944999912201486710971
<60> (Eric Jeancolas / cado-nfs-3.0.0 for P36 x P60 /
November 5, 2022 2022 年 11 月 5 日)
7×10130-8 = 6
(9
)1292
<131> = 2
3 × 13
2 × 719 × 3583 × 13155397 × 12855537381873877300832640033117340909566911838570433271
<56> × 118836938709037746472108853023073971243877811146499846338029
<60> (Dmitry Domanov / Msieve 1.54 snfs for P56 x P60 /
November 8, 2022 2022 年 11 月 8 日)
7×10131-8 = 6
(9
)1302
<132> = 2
3 × 173 × 3477289 × 16672387 ×
8724155152775163753971598435282517947031309059896509206306754544543230098550579198703327903482225227514600020449441<115>
7×10132-8 = 6
(9
)1312
<133> = 2
3 × 269 × 7717 × 87775464522837473066544475843772774061269456978630731853
<56> × 4802132470870466231448902497726318935004243757845519762187597065284571
<70> (Dmitry Domanov / Msieve 1.54 snfs for P56 x P70 /
November 8, 2022 2022 年 11 月 8 日)
7×10133-8 = 6
(9
)1322
<134> = 2
3 × 17 × 10891 × 170006076641
<12> × 1503455592981692355757
<22> × 184899749864546890928046822190118865767066731055249257913399193382768169685995540180662677373441
<96>
7×10134-8 = 6
(9
)1332
<135> = 2
3 × 314933 × 66418981 × 46600419127709
<14> × 139283680152671
<15> × 17019174651432169625526317742190351
<35> × 37867717052559885742503630958446548389709147616211675314467
<59> (Eric Jeancolas / cado-nfs-3.0.0 for P35 x P59 /
November 5, 2022 2022 年 11 月 5 日)
7×10135-8 = 6
(9
)1342
<136> = 2
3 × 23 × 73 × 106225628767936991989785776923660954754003656685867407469
<57> × 4906005677392914898025332594236211721195129297060783367579997368409923312949
<76> (Bob Backstrom / Msieve 1.54 snfs for P57 x P76 /
November 9, 2022 2022 年 11 月 9 日)
7×10136-8 = 6
(9
)1352
<137> = 2
3 × 13 × 31 × 99503918016049
<14> × 222614293117721
<15> × 45213800160778119751
<20> × 143223137974465433629
<21> × 151365041722166790297555740056794218833149942268380584606833477463
<66>
7×10137-8 = 6
(9
)1362
<138> = 2
3 × 263 × 82126966303
<11> × 56681813456312570875893543751
<29> × 71469836308201905299346140172335597959289688765075578851581975946540836325047106460084951349041
<95>
7×10138-8 = 6
(9
)1372
<139> = 2
3 × 233 × 5508818779
<10> × 112454315185549009
<18> × 1169191401309015142177547
<25> × 5184798803955231374797382505445370851001072201628838513161241812401047795230274907359
<85>
7×10139-8 = 6
(9
)1382
<140> = 2
3 × 43 × 67 × 18854009359
<11> × 110521837703
<12> × 2061985298084562116993
<22> × 48764513501275834829506969470853
<32> × 14495176856958205497885769370158715576604784358616391493011963
<62> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3129596269 for P32 x P62 /
November 5, 2022 2022 年 11 月 5 日)
7×10140-8 = 6
(9
)1392
<141> = 2
3 ×
87499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<140>
7×10141-8 = 6
(9
)1402
<142> = 2
3 × 1799251 × 1708705667824772840662413182565602578499
<40> × 284609269289307116217088841165620241765398035629728559856277804447139298711274344732268994341751
<96> (Bob Backstrom / GMP-ECM 7.0.4 B1=26010000, sigma=1:3740769127 for P40 x P96 /
November 7, 2022 2022 年 11 月 7 日)
7×10142-8 = 6
(9
)1412
<143> = 2
3 × 13 × 1873 ×
359357673826440510903938560105137787999507166618752310156474598546141525319314961600065711117499691979136720193847796624091338453324571851<138>
7×10143-8 = 6
(9
)1422
<144> = 2
3 × 73 × 8863 × 12739 × 336029 × 8415026220787
<13> × 71056724251757
<14> × 189319626455294747964615955559057447
<36> × 279084715010757134814661663890110991832056833705884335311567407727
<66> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2623653712 for P36 x P66 /
November 5, 2022 2022 年 11 月 5 日)
7×10144-8 = 6
(9
)1432
<145> = 2
3 × 47 × 223 × 600053 × 10731499 × 16226454162340449481391877971949421908800192142653
<50> × 798972265346989620766898519575830819559856221171351492173571513129141210778669
<78> (Ignacio Santos / GNFS, Msieve for P50 x P78 /
November 16, 2022 2022 年 11 月 16 日)
7×10145-8 = 6
(9
)1442
<146> = 2
3 × 27043 × 6473803444527679809318019
<25> ×
49979703513618110725297030568495223577563699749176854825041895921030256169112024815299428274730971478757675191607847<116>
7×10146-8 = 6
(9
)1452
<147> = 2
3 × 4286787295573967743958387
<25> × 156133862005420641417555499684803737166299807
<45> × 130731130225296385658509181059317201076653050167479374614949915592319298848411
<78> (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P78 /
November 16, 2022 2022 年 11 月 16 日)
7×10147-8 = 6
(9
)1462
<148> = 2
3 × 19 × 59 × 2819 × 2248013 × 4005613 × 511346375671
<12> × 25424901499626319526153952539
<29> × 3374772669084082792391872634955601
<34> × 700842731937105984457680465274957066015294956935721841
<54> (Eric Jeancolas / Dario Alpern's calculator for P34 x P54 /
November 5, 2022 2022 年 11 月 5 日)
7×10148-8 = 6
(9
)1472
<149> = 2
3 × 13 × 345581 × 627541 × 543746227813
<12> × 148951065163182979
<18> ×
38320650079297614452189841355595506976009610313921574983303655560391456614800603967067993011930122937942469<107>
7×10149-8 = 6
(9
)1482
<150> = 2
3 × 17
2 × 281 × 1911514493804280089
<19> × 806442319491726863839
<21> × 12731017602255366592774367245509859
<35> × 54902215019319110527745504956138403511966186444348976728275792556266299
<71> (Eric Jeancolas / cado-nfs-3.0.0 for P35 x P71 /
November 8, 2022 2022 年 11 月 8 日)
7×10150-8 = 6
(9
)1492
<151> = 2
3 × 37540994172571
<14> × 10099557682333049580211
<23> × 5689819936533716860739671209891714495271223
<43> × 405603231889708929861887960622951387091128522080070873969515434661467673
<72> (Eric Jeancolas / cado-nfs-3.0.0 for P43 x P72 /
November 15, 2022 2022 年 11 月 15 日)
7×10151-8 = 6
(9
)1502
<152> = 2
3 × 31 × 73 × 5783 ×
668606057234665214428839646031547966677285404390900263919824123749735327516486106098688240762978082940619606020633259338382595336155640486778831<144>
7×10152-8 = 6
(9
)1512
<153> = 2
3 × 4021 × 27082327877871991717
<20> ×
803503898518932004252864959906427233647838231746439007878949010968255377968073692879952546530099638961767365598475559838737928807<129>
7×10153-8 = 6
(9
)1522
<154> = 2
3 × 29 × 1087 × 7365969641
<10> × 1355731592261
<13> × 164120712803352712947107
<24> ×
16936102581799584530766209781538794561052117581859576485621648421960399445389067692348270754362555418659<104>
7×10154-8 = 6
(9
)1532
<155> = 2
3 × 13 × 90733099 × 47855345051033996127835811984369740627760317
<44> ×
155013136667240749729274602332340266795347908208411167327869502614854231538019583082452302570304533381<102> (Bob Backstrom / GMP-ECM 7.0.4 B1=32920000, sigma=1:3809844726 for P44 x P102 /
November 10, 2022 2022 年 11 月 10 日)
7×10155-8 = 6
(9
)1542
<156> = 2
3 × 821 ×
106577344701583434835566382460414129110840438489646772228989037758830694275274056029232643118148599269183922046285018270401948842874543239951278928136419<153>
7×10156-8 = 6
(9
)1552
<157> = 2
3 × 148748657594819
<15> ×
5882406027376994262218069302916195305942773145941247860169741828739296349889871506233878269794871233283702775813439435580421868060893113555221<142>
7×10157-8 = 6
(9
)1562
<158> = 2
3 × 23 × 37527702409423
<14> × 7161622563275236845879281
<25> × 549857538396030155977508711731
<30> × 20588103727986961965863703148460305791852979
<44> × 125040378896314415654682488106327348949813999
<45> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:465772322 for P30, Dario Alpern's calculator for P44 x P45 /
November 5, 2022 2022 年 11 月 5 日)
7×10158-8 = 6
(9
)1572
<159> = 2
3 × 829 × 122018089 × 44590864033
<11> × 60309029449
<11> × 26449802070721
<14> ×
12161262138669540123875787990974051650753889443329917593413164885798554024044102560961712264670525190445996057147<113>
7×10159-8 = 6
(9
)1582
<160> = 2
3 × 73 × 42501275771
<11> ×
282022154686510756096854601082590402954652488710042640036728016874348572527848916318192788741125927796125634635686442960187400944215835541597774053<147>
7×10160-8 = 6
(9
)1592
<161> = 2
3 × 13 × 43 × 91513 × 2194537 × 25760576969804607390488461
<26> × 478146732412915362685546854999833
<33> × 6327814901269217038587083269859397616796409649939650136689996042468093512611777279468637
<88> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3009071593 for P33 x P88 /
November 5, 2022 2022 年 11 月 5 日)
7×10161-8 = 6
(9
)1602
<162> = 2
3 × 327269564003
<12> × 1545962296070175138821
<22> × 6763303978384845190438361007432430978863644051
<46> × 25570818517048945310460347531576897055077431521070756973072929066592852973907449323
<83> (Eric Jeancolas / cado-nfs-3.0.0 for P46 x P83 /
November 19, 2022 2022 年 11 月 19 日)
7×10162-8 = 6
(9
)1612
<163> = 2
3 × 167 × 491 × 4547 × 86993 × 5268937 × 451623493 × 29055825959
<11> × 172469446501759265894250791773137911564516254113038715019
<57> × 2262329722362829790477579264869633423378261450641627715768366167857
<67> (Eric Jeancolas / cado-nfs-3.0.0 for P57 x P67 /
November 16, 2022 2022 年 11 月 16 日)
7×10163-8 = 6
(9
)1622
<164> = 2
3 × 8663 × 390463993 × 402663410222527957381
<21> × 123941273133924978564297061507
<30> ×
51832317492671576867151772333612396005727980021402388617856607343911524321950546310250321853655602383<101> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3698676235 for P30 x P101 /
November 5, 2022 2022 年 11 月 5 日)
7×10164-8 = 6
(9
)1632
<165> = 2
3 × 887 × 692935814034917
<15> × 29488373955104732477
<20> ×
4827703612736446403621496426328793323920405695547511674683079997449177905147832662588288776064247020726412506740935816249424553<127>
7×10165-8 = 6
(9
)1642
<166> = 2
3 × 17 × 19 × 149 × 1217 × 1777 × 5303 × 296443234531
<12> × 2186599546775311
<16> × 8663520711017539189
<19> ×
282302298482706028881465596603055521274764978778669746301979479711349866156321428729437804144792873516519<105>
7×10166-8 = 6
(9
)1652
<167> = 2
3 × 13 × 31 × 839 × 25307 × 59217523542652055841716641133268666497866961
<44> ×
17268322051640342386544276176577646873899379295658687906286779165013008842029298876551757105723194034299945264761<113> (Bob Backstrom / GMP-ECM 7.0.4 B1=26420000, sigma=1:2616927878 for P44 x P113 /
November 12, 2022 2022 年 11 月 12 日)
7×10167-8 = 6
(9
)1662
<168> = 2
3 × 73 × 107 × 1951 × 16658881 × 309865451261443097312459
<24> × 11373852639437635686000171409
<29> × 413124839395121213529367207223
<30> × 236720711705244515613293372281002496075910817536674777050326651377150103
<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3095820900 for P30 x P72 /
November 5, 2022 2022 年 11 月 5 日)
7×10168-8 = 6
(9
)1672
<169> = 2
3 × 607 × 49094440662477865347356133718273747329783359182437670505160206340329
<68> × 29362095408148307995366751746001295583120452735383391409237094231799979092060822238984562584616633
<98> (Bob Backstrom / Msieve 1.54 snfs for P68 x P98 /
November 12, 2022 2022 年 11 月 12 日)
7×10169-8 = 6
(9
)1682
<170> = 2
3 × 29269376977662075166921172519618177
<35> ×
298947258312941248638448343549324122648295765232117835561647679556848780948715130449652205443553320292747129554967776717583258296501887<135> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2773913934 for P35 x P135 /
November 5, 2022 2022 年 11 月 5 日)
7×10170-8 = 6
(9
)1692
<171> = 2
3 × 193 × 702589 ×
645281773053190974783811616306431172398736613509779967986206928796740422914134227620615939962747846368395110557674853458537368049925369659988201889300960503025387<162>
7×10171-8 = 6
(9
)1702
<172> = 2
3 × 1009672096481738147205521323644361
<34> ×
866617987214848271397747756539256048678299447824712666103324369513379795293945578490385913274666397601833877954086834494655398325467130759<138> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3365423386 for P34 x P138 /
November 5, 2022 2022 年 11 月 5 日)
7×10172-8 = 6
(9
)1712
<173> = 2
3 × 13 × 67 × 1223 × 2251 × 819921155435988527
<18> × 16927619429828849726963589321497500279
<38> × 272477056838870832845458857027309086308969
<42> × 964917154978010723911989144324678626408573364276089565544110739789
<66> (Bob Backstrom / GMP-ECM 7.0.4 B1=25020000, sigma=1:117562555, Msieve 1.54 gnfs for P38 x P42 x P66 /
November 17, 2022 2022 年 11 月 17 日)
7×10173-8 = 6
(9
)1722
<174> = 2
3 × 2245930790581
<13> × 2785556227603601
<16> × 6754282614623094443
<19> × 172030798399808139521
<21> × 25509112334056135779443
<23> × 660222617029042302190383091
<27> × 714707890943026377149831398228422929138820683631731982961
<57>
7×10174-8 = 6
(9
)1732
<175> = 2
3 × 173 × 157615519 × 115639346855916362939329
<24> × 218675311311567963667887642921613858807197853
<45> × 1268988218304647555383384525018694494517137836951011330775192432100360769635810791697025803219721
<97> (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P97 /
December 10, 2022 2022 年 12 月 10 日)
7×10175-8 = 6
(9
)1742
<176> = 2
3 × 73 × 293 × 323699 ×
1263793783590215194401690031938655716657778048717191023486632396957518811637991436790703023828444274311064913601970725419845947492371643590670093724337886380184390809<166>
7×10176-8 = 6
(9
)1752
<177> = 2
3 × 199 × 2027 × 11027 × 1322960860951821410153
<22> × 3006219048484120649053
<22> × 447975826626478536558953783591837
<33> × 2757645859230002210412317387871339761161379
<43> × 4003899452528896941968443573931283592807462052867
<49> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2814002931 for P33, cado-nfs-3.0.0 for P43 x P49 /
November 5, 2022 2022 年 11 月 5 日)
7×10177-8 = 6
(9
)1762
<178> = 2
3 × 281 × 13219 × 96356132513742366141842286473
<29> × 23555205310381854030129827788084621597
<38> ×
103785546461671620496827489957996743827478149183038104561330802590353270911399930146473180429105348047961<105> (ebina / GMP-ECM 7.0 B1=3000000, sigma=1:1669202692 for P38 x P105 /
November 21, 2022 2022 年 11 月 21 日)
7×10178-8 = 6
(9
)1772
<179> = 2
3 × 13 × 61 × 4133 × 282423021596335649453763216460975269967
<39> × 2970675393532829193870436925267023725639677
<43> × 3182102511474035412674192708332228438737530138239688628916615075835448273653861403438120169
<91> (Bob Backstrom / Msieve 1.54 snfs for P39 x P43 x P91 /
November 12, 2022 2022 年 11 月 12 日)
7×10179-8 = 6
(9
)1782
<180> = 2
3 × 23 × 1201 × 1583 × 45825469 × 142739735681676989
<18> × 188389114409206177
<18> ×
1623860371686017819013530608420403376248978352751504482339124805555948897830080340744800890714518782243267645754732777904301199823<130>
7×10180-8 = 6
(9
)1792
<181> = 2
3 × 63031 × 434042026750701464412541356203
<30> ×
31983211715368195127595958232248314976483076953032183476084216749149885325322851904994754770021487667255287461055392716683108669692907122035540843<146> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1323584900 for P30 x P146 /
November 5, 2022 2022 年 11 月 5 日)
7×10181-8 = 6
(9
)1802
<182> = 2
3 × 17 × 29
2 × 31 × 43 × 1860851 × 89273692621
<11> ×
2763744475197603632733707435751783749449309463916505706089981505275108854710308919457140863334073723160961793397480733840204203851266065959330695486908317469<157>
7×10182-8 = 6
(9
)1812
<183> = 2
3 × 3531388379537
<13> × 43792369403281
<14> × 200766133845914239197483401171
<30> ×
2818212066657801635417352285740730685296210196673620077579577245297179092617310264823600527187349531723832580697870614909564677<127> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:160373877 for P30 x P127 /
November 5, 2022 2022 年 11 月 5 日)
7×10183-8 = 6
(9
)1822
<184> = 2
3 × 19 × 73 × 15414994908467104088606299511882903
<35> ×
40924954603026148738935287457975347205813053026537131582232204366836649100235846897922380233200941403752968917978273145786505071961099897099430859<146> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:564795138 for P35 x P146 /
November 5, 2022 2022 年 11 月 5 日)
7×10184-8 = 6
(9
)1832
<185> = 2
3 × 13 × 401 × 4001 × 1371991 × 23350487221
<11> × 1194431806822111368784547505101527
<34> × 236969405169280526987721720419216086021
<39> × 100266860465312960029684734265770413979697
<42> × 461416916495165213107816703561475592531168097107
<48> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2350780005 for P34 /
November 5, 2022 2022 年 11 月 5 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1691610106 for P39 /
November 8, 2022 2022 年 11 月 8 日) (Dmitry Domanov / YAFU for P42 x P48 /
November 9, 2022 2022 年 11 月 9 日)
7×10185-8 = 6
(9
)1842
<186> = 2
3 × 10099 × 692150800424504929
<18> × 1559793649448403618302795959753599063195769814529623358221651762036104647541
<76> × 8025309820754726791992275264042282103491162038567645910774043292887960282588968752124209
<88> (Bob Backstrom / Msieve 1.54 snfs for P76 x P88 /
November 17, 2022 2022 年 11 月 17 日)
7×10186-8 = 6
(9
)1852
<187> = 2
3 × 7990597 × 41847687143
<11> × 17781558072323141589103679
<26> × 9561266527872538377476269897733317
<34> × 772449376609405855175259590848373977
<36> × 19925172997194801337832559329385090255497601811345487062022439181955595079
<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:788694041 for P34 /
November 5, 2022 2022 年 11 月 5 日) (Ignacio Santos / GMP-ECM, Msieve 1.52 gnfs for P36 x P74 /
November 8, 2022 2022 年 11 月 8 日)
7×10187-8 = 6
(9
)1862
<188> = 2
3 × 593 × 3671419 × 5926505231
<10> × 35528788504051
<14> × 40001569659700738022935949240306372844921185702612511787090160597632820235811
<77> × 477159202869758698089231337944502540329428277691954453861138802959190376381067
<78> (Bob Backstrom / Msieve 1.54 snfs for P77 x P78 /
December 8, 2022 2022 年 12 月 8 日)
7×10188-8 = 6
(9
)1872
<189> = 2
3 × 163 × 2995427 × 6418171 × 471043553192197204134653
<24> × 540404514795520582550619274878589791803
<39> × 678331807912221456123422470473223797957653
<42> × 161706772624813397117434283554082081973692220144763196821501455508447
<69> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:500383241 for P39 /
November 5, 2022 2022 年 11 月 5 日) (Ignacio Santos / GNFS, Msieve for P42 x P69 /
November 8, 2022 2022 年 11 月 8 日)
7×10189-8 = 6
(9
)1882
<190> = 2
3 × 439 × 228841 × 4043833835317
<13> × 938100567077493252039684416912698076040943038061831
<51> × 1977240237799805914292977234843147310153895230532001
<52> × 1161201413095973944238619075862272862255142390100576385884342589963
<67> (Bob Backstrom / Msieve 1.54 snfs for P51 x P52 x P67 /
November 21, 2022 2022 年 11 月 21 日)
7×10190-8 = 6
(9
)1892
<191> = 2
3 × 13 × 47 × 18028855348389005359021
<23> × 8997441485629784867485268762289326382281503755501203895973909309557658901194994791
<82> × 88283523411034206849847735508984215711142407932174751376522304772955707981808647919
<83> (Bob Backstrom / Msieve 1.54 snfs for P82 x P83 /
November 21, 2022 2022 年 11 月 21 日)
7×10191-8 = 6
(9
)1902
<192> = 2
3 × 73 × 109 × 14274175547
<11> × 214544622557323
<15> × 1273587765087413
<16> ×
2819428915748699963322503636910349476736734265594790282059024643744767642086355433984583770468221078823434442385858427408447767451878180964490882719<148>
7×10192-8 = 6
(9
)1912
<193> = 2
3 × 157 × 3329 × 263837695956083
<15> × 457526246937973
<15> × 19783369821899133288465948953
<29> × 36397722636102386882784389078160801101430233
<44> × 19260487072042739321167163609850636603989454093667323552381568939059930560575601080213
<86> (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:1774467875 for P44 x P86 /
November 12, 2022 2022 年 11 月 12 日)
7×10193-8 = 6
(9
)1922
<194> = 2
3 × 1277 × 7529 × 62274241 × 4041887319911822411347
<22> × 10785242424503403635346322130567
<32> × 1562132458001851474071380002955003
<34> × 556433691646304585945779891872410976030353
<42> × 385679031204109508185630448217186436564686461193413
<51> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3963148655 for P32, B1=1000000, sigma=1:205740964 for P34, cado-nfs-3.0.0 for P42 x P51 /
November 5, 2022 2022 年 11 月 5 日)
7×10194-8 = 6
(9
)1932
<195> = 2
3 × 4132427714126625359
<19> × 292704977161566829588207
<24> × 626733578190033452855155016797658677271042168726112029623981451237
<66> × 115422298093075692855851706515310269587749914285408161256805838847716081233078780653779
<87> (Eric Jeancolas / cado-nfs-3.0.0 for P66 x P87 /
July 7, 2023 2023 年 7 月 7 日)
7×10195-8 = 6
(9
)1942
<196> = 2
3 × 1663 × 11593277 × 3966650497
<10> × 4085569717216061
<16> × 403439780062431135032083229
<27> × 1279505497147786469547865983722896943038171094188054673674881175357
<67> × 5425155047216460252903532977233328048168045962974620822931975040849
<67> (Eric Jeancolas / cado-nfs-3.0.0 for P67 x P67 /
November 14, 2022 2022 年 11 月 14 日)
7×10196-8 = 6
(9
)1952
<197> = 2
3 × 13 × 31 × 113 × 179 × 142789 × 651439 × 915613393 × 54584251067689774145931376465985390728244200335426035717971063
<62> ×
230899787221420019305298564406066226059825386933529399686729692205345946378386860124976744431870650396363411<108> (Bob Backstrom / Msieve 1.44 snfs for P62 x P108 /
February 19, 2023 2023 年 2 月 19 日)
7×10197-8 = 6
(9
)1962
<198> = 2
3 × 17 × 18119 × 550907915599
<12> × 473812873004466179235715459
<27> × 705853404944608207699763798185789333362122611207411570193
<57> × 1541787513979279544349835868031738118085055373001780379165608673285520655193091046537326911717101
<97> (Eric Jeancolas / cado-nfs-3.0.0 for P57 x P97 /
July 19, 2023 2023 年 7 月 19 日)
7×10198-8 = 6
(9
)1972
<199> = 2
3 × 1083370047839134213312345378132220135705592605341192288368856096777079685184603
<79> ×
807664935674800615548641019241871936635894567584820368910539672855154254952861661112029365258722216137267573556018162733<120> (Bob Backstrom / Msieve 1.44 snfs for P79 x P120 /
February 9, 2023 2023 年 2 月 9 日)
7×10199-8 = 6
(9
)1982
<200> = 2
3 × 73 × 1342279643339812593637420238297484340184777727172235278362859
<61> ×
89298093950371800486396486831243338315911435626725792740705072626238363639474286309021735843097599587952493311259273538735811832779139157<137> (Bob Backstrom / Msieve 1.44 snfs for P61 x P137 /
February 15, 2023 2023 年 2 月 15 日)
7×10200-8 = 6
(9
)1992
<201> = 2
3 × 20336431 × 3465251748414517
<16> × 20329230570956760868806719864605331973246649
<44> × 177080072316741700793158610905029835756461987944147
<51> × 344911672426643992718509081939853995229488233998522067457043851889096048674534121879
<84> (Bob Backstrom / Msieve 1.44 snfs for P44 x P51 x P84 /
May 15, 2023 2023 年 5 月 15 日)
7×10201-8 = 6
(9
)2002
<202> = 2
3 × 19 × 23 × 3049 × 5861 × 13004083 × 25150751 × 977691203141
<12> × 35979983054374047416831
<23> × 16349577890467796333236691967492781509923
<41> ×
595658815093900325112486246846147557562785652936872120388211480912253637541782872593543842246258955387<102> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:599902376 for P41 x P102 /
January 1, 2023 2023 年 1 月 1 日)
7×10202-8 = 6
(9
)2012
<203> = 2
3 × 13 × 43 × 5339777926965782628534805609772585211784078824671970953
<55> ×
2931386269907630880247562490078098241839015464730312594246027309918786350758282312212167440421072060135508525451885787532867177359077187238143337<145> (Bob Backstrom / Msieve 1.44 snfs for P55 x P145 /
June 19, 2023 2023 年 6 月 19 日)
7×10203-8 = 6
(9
)2022
<204> = 2
3 × 296498343812527835526539963141
<30> × 94909375366091923939112712270795591429108231853745136767721021557331577
<71> ×
3109400514265193496620780751428311411151731516597675519218405208894895867951803169133611902695565514507<103> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4070327399 for P30 /
November 5, 2022 2022 年 11 月 5 日) (Bob Backstrom / Msieve 1.44 snfs for P71 x P103 /
August 12, 2023 2023 年 8 月 12 日)
7×10204-8 = 6
(9
)2032
<205> = 2
3 × 181 × 61813 × 5044671799340688463691
<22> ×
15503035426122400554708322483073640655294585057264893489570430195103924917453579211835862648260415075462744242587056493953969847226978648884079775575743305019635744196608190213<176>
7×10205-8 = 6
(9
)2042
<206> = 2
3 × 59 × 67 × 97 × 281 × 2663566725579822475073
<22> × 1350218825284886407338661195297449941529023801
<46> ×
22580598297533542782104791691266629273479937737495909968398725666639438447287620808962379360822021240267742700977280941193049740703<131> (Dmitry Domanov / GMP-ECM B1=43000000, sigma=1:2490546412 for P46 x P131 /
February 9, 2023 2023 年 2 月 9 日)
7×10206-8 = 6
(9
)2052
<207> = 2
3 × 331 × 7673 × 12735788627
<11> × 31207585812719039
<17> × 1759884918540864372385373350937385143994693827475314281067798342145481
<70> ×
49254348113203501945239539513192830556757494506056469716646096384543599684057012627785256652172903806961<104> (Bob Backstrom / Msieve 1.44 snfs for P70 x P104 /
March 1, 2024 2024 年 3 月 1 日)
7×10207-8 = 6
(9
)2062
<208> = 2
3 × 73 ×
[11986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863<206>]
Free to factor
7×10208-8 = 6
(9
)2072
<209> = 2
3 × 13
2 × 797 × 1163 × 13052579 ×
[4279440395452778738376801112615239003545293258944519075724122052161364193977269536147782658260697333310396602590335836491391693987177723430405167033841060604665017144423347662982959420151464659<193>]
Free to factor
7×10209-8 = 6
(9
)2082
<210> = 2
3 × 29 × 6424783 × 3123873917
<10> × 934338175495943
<15> × 74249259274740041
<17> ×
[2167014789197298421114342814084305381875147234595990383255887171770987840620341769440930192967094959974567161628962426281205870860175034734823554246101340118167<160>]
Free to factor
7×10210-8 = 6
(9
)2092
<211> = 2
3 ×
[874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<210>]
Free to factor
7×10211-8 = 6
(9
)2102
<212> = 2
3 × 31 × 131 × 397 × 2221 × 17979837892733
<14> × 179644763370420110088967
<24> × 21393834620458083559093990431829129
<35> ×
35362831370055359686716633416426910913388026057350969709921479886896832948375303286620436296842363278111803853590618004563768367953<131> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1653425328 for P35 x P131 /
November 17, 2022 2022 年 11 月 17 日)
7×10212-8 = 6
(9
)2112
<213> = 2
3 × 1399 × 35698837834399111409
<20> ×
[1752008708457832911690452156863434429969643686771780117180241910959840599151333396996969827273197542766169301607364117682413230116268331731344470799839951637386841705781443365793355821494089<190>]
Free to factor
7×10213-8 = 6
(9
)2122
<214> = 2
3 × 17 × 5051909501
<10> × 6551236721
<10> × 2157776123377617467
<19> × 53170067383824563817251
<23> × 303987605575303859716877
<24> × 7586574351792559397852636991283169136177680571751131665923
<58> × 5877668500017323136239582622587271671182808482709011467643867927154701
<70> (Eric Jeancolas / cado-nfs-3.0.0 for P58 x P70 /
November 13, 2022 2022 年 11 月 13 日)
7×10214-8 = 6
(9
)2132
<215> = 2
3 × 13 × 12643300051
<11> × 244786766443
<12> × 27306610969651843
<17> × 1036891440781303843
<19> ×
[7680955126491461512043459424869382021185398172696073198301635572735356799913318316774311117437832060701668196239838711227897188283020621808253194874492951539<157>]
Free to factor
7×10215-8 = 6
(9
)2142
<216> = 2
3 × 73 × 5857 × 53231 × 4909380153506346467681
<22> × 10223640974942820002561
<23> ×
76597234760826653716218235358308675937576980877190198037839297906720896480305480908915850238866648015954517392799687600270808511618259025304934975647402587468329<161>
7×10216-8 = 6
(9
)2152
<217> = 2
3 × 232013 × 678943 × 9352169 × 633620837 × 2184974172684563051318569043
<28> ×
[429016814083846891876748451136085529527799023987464751311996494182504707507415198212043707513447201546532422830423173571307008341140861194785592784573568158063459<162>]
Free to factor
7×10217-8 = 6
(9
)2162
<218> = 2
3 × 173 × 223136810839
<12> ×
[226668269085258712325228947383901828085083748819471798259353294552949528349688061021284307970026489230514366719203541587107480315405611696504815639732193929564817562921535423790611901495629968871112767517<204>]
Free to factor
7×10218-8 = 6
(9
)2172
<219> = 2
3 × 1013 × 899035560792340315187
<21> × 20583514136079629150255101
<26> ×
[4667692259559223480644878424883925607474941181479722879585510095924569840831056068727213535550647520763576149071874469104277797271193040461599841221436980914599858198629<169>]
Free to factor
7×10219-8 = 6
(9
)2182
<220> = 2
3 × 19 × 3877 × 887479 × 6524267 ×
[2051487333571197638303902001035901337527878210915040694935861354355452661804408240504442841418520067326540706415248671852515172777501906991313802989201303757943535660588254043925983502476752207234176661<202>]
Free to factor
7×10220-8 = 6
(9
)2192
<221> = 2
3 × 13 × 107 × 5240549 × 49284635599483
<14> ×
[24355249736607554875802372395441292364305771433543693515139996994674849009625243391991012570982907996752748822009618318735677830590229294670066530638345874629060484820417493345274078256214914215367<197>]
Free to factor
7×10221-8 = 6
(9
)2202
<222> = 2
3 × 37253 ×
[2348804123157866480551901860252865541030252597106273320269508495960056908168469653450728800365071269427965532977209889136445386948702117950232196064746463372077416583899283279198990685313934448232357125600622768636083<217>]
Free to factor
7×10222-8 = 6
(9
)2212
<223> = 2
3 × 7960009241
<10> × 150713984513
<12> × 218055108677629
<15> × 11779366779068537225042021906452218157
<38> ×
283957091180684668075868715823481373274410130864457221023971088338318750846677714300341843517875161456201102051504337223421808715280472559987647123151<150> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2949551725 for P38 x P150 /
November 18, 2022 2022 年 11 月 18 日)
7×10223-8 = 6
(9
)2222
<224> = 2
3 × 23 × 43 × 73 × 347 × 421 × 3565503241159
<13> ×
[232678628433586403247657625493576359868143211316950594525137165741633287971356143045790968301270204102135570772367442187654904013301860915086034576421838766159982411558072707946569604211696473298748099<201>]
Free to factor
7×10224-8 = 6
(9
)2232
<225> = 2
3 × 373158529 × 5030238952695293951
<19> × 43811216441723865807432700665379410852594847
<44> ×
1063997856167332379466249949546798771202645498776105037742499541648384772072041617699493954063027331707454628642266615933670478326430736611634729457005023<154> (Dmitry Domanov / GMP-ECM B1=43000000, sigma=703224017 for P44 x P154 /
January 30, 2023 2023 年 1 月 30 日)
7×10225-8 = 6
(9
)2242
<226> = 2
3 × 406852027858070697058362524239966161092089
<42> ×
[2150659060510426019858408319598263037507007845334870874606767775934876578671706074517423028394233349060369494491147404447647384317376083842829299229425733752999628332356622827711499191<184>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3189378613 for P42 /
February 5, 2023 2023 年 2 月 5 日)
Free to factor
7×10226-8 = 6
(9
)2252
<227> = 2
3 × 13 × 31 × 343591 × 156118112869394453258295648504975692447
<39> × 1941094138159279624725583290085071775921
<40> ×
208526539616805215939549877048691592899556692372655063526500931252569080751986008326550689626200243314536222372651749102172499710416467464349<141> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2890139501 for P39 /
November 18, 2022 2022 年 11 月 18 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:3011666773 for P40 x P141 /
December 1, 2022 2022 年 12 月 1 日)
7×10227-8 = 6
(9
)2262
<228> = 2
3 ×
[87499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<227>]
Free to factor
7×10228-8 = 6
(9
)2272
<229> = 2
3 × 673 × 47784411383378791485196574491
<29> ×
27208634589613138999638817803296580305592843232750216065687933990231001284499133665253711592551362461526416710567196376537259220990548623747271319304477967919623178793805395000986982392142613119693<197>
7×10229-8 = 6
(9
)2282
<230> = 2
3 × 17 × 285791796334526521442704618643
<30> ×
1800982004922439870117812965631174115452668357887996957678561257826024230286647334008074192654004317710986363221568562808443885551530474499219048581952577728021947671501259863077063384511415281739029<199> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2893040661 for P30 x P199 /
November 5, 2022 2022 年 11 月 5 日)
7×10230-8 = 6
(9
)2292
<231> = 2
3 ×
[87499999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<230>]
Free to factor
7×10231-8 = 6
(9
)2302
<232> = 2
3 × 73 × 443 × 883 × 2477 × 11213 × 10633449137
<11> × 3440349892871
<13> ×
30157557363119137520075154324932381598096728288733092106845603163411443626864064589032788545156710533472297783650654046475803063318552836686660419604113340192331959434301160893443900470075774601<194>
7×10232-8 = 6
(9
)2312
<233> = 2
3 × 13 × 4861 × 230383 × 3543737 × 4586849 ×
[36975386643088590530406683713701439773399125340790839249365403977118682701380230732558632259290709075608265976926608804037861008806021300992229141956735888031276009075965185251382552176097022965979635894964417<209>]
Free to factor
7×10233-8 = 6
(9
)2322
<234> = 2
3 × 281 × 1743175249069
<13> × 3120640125981353
<16> × 53720222026877185963
<20> ×
[1065563154505980824798329202654891505021906466099356580779075239263523442514159322188393547717708321543879184227546020856729042522132666939854768577364381554370367295823251831623780369<184>]
Free to factor
7×10234-8 = 6
(9
)2332
<235> = 2
3 × 3590982553
<10> × 270529495957728361
<18> × 28223762395687595353
<20> × 14789577897342303219361952039
<29> × 5042877483835219546466634017668117992175057
<43> ×
427888910325490998980933884973159352939512725961743516857743855347620401764354031388768893898682809596540650578055937<117> (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:3202779474 for P43 x P117 /
November 13, 2022 2022 年 11 月 13 日)
7×10235-8 = 6
(9
)2342
<236> = 2
3 × 479 × 1896563 × 7882709 × 589491371478960437642535006498388264837
<39> × 2580788665978482272734181527338527495919419197
<46> ×
803155941033880189772291321342669754379718858717269468953003567210340845507757946834721537269925104674520818237035783787626736991904287<135> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2995519531 for P39 /
November 17, 2022 2022 年 11 月 17 日) (Dmitry Domanov / GMP-ECM B1=43000000, sigma=1:3653442032 for P46 x P135 /
January 27, 2023 2023 年 1 月 27 日)
7×10236-8 = 6
(9
)2352
<237> = 2
3 × 47 × 24533 × 87946081511700435624446043300165007269107371747
<47> ×
[862865375525125551615875953813313513149744878381120507938435710655807314354050940264180696882533495732492001814147703459345502797434201241622949377253528898753294936652120440478435567<183>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000, sigma=3:2846776537 for P47 /
January 31, 2023 2023 年 1 月 31 日)
Free to factor
7×10237-8 = 6
(9
)2362
<238> = 2
3 × 19 × 29 × 320346121 × 844486577780450749126030404317013581
<36> ×
[5870082882137728592358100777446158045191151146890004373250277065155085439271783123429759620369054639639374437258887984698279181253343531062298208005154033086714469083728538169400779871637349<190>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2354185276 for P36 /
November 5, 2022 2022 年 11 月 5 日)
Free to factor
7×10238-8 = 6
(9
)2372
<239> = 2
3 × 13 × 61 × 67 ×
164687282377519715420376051645931753590182755829929796164197925881312228265984077092469556379514784212606576198452880615836329073422295834823361126272797425231973800606049199149272552746983870057028853211872541454141649884248367243229<234>
7×10239-8 = 6
(9
)2382
<240> = 2
3 × 73 × 2953 × 3623 × 48982103 ×
2287262368224774201461486041044582077542616694369662382938553954547497782435978714937569444771699384982178570351572956934790430013780069874268662940791602243322361880475658019864647239593807340320363741519497491837793172559<223>
7×10240-8 = 6
(9
)2392
<241> = 2
3 × 2023275998381027487529358866294166479721
<40> ×
432466949986137385398518019117278384935232745055905956613584177521376266424504221008960555318318628400120633688488251881555435791280390266873356048858574222608185465092163956727537606466191556701889319<201> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:4022127292 for P40 x P201 /
December 5, 2022 2022 年 12 月 5 日)
7×10241-8 = 6
(9
)2402
<242> = 2
3 × 31 × 26600665923863368013
<20> × 855024585260742461557418795070631974436907
<42> ×
12410099047234451921003910848708031000333280085028563213112980163327455676210488962220942724812038228232014539420792644818659539291876279750620844661656360114207741643123089147119<179> (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000, sigma=3:2979805745 for P42 x P179 /
January 31, 2023 2023 年 1 月 31 日)
7×10242-8 = 6
(9
)2412
<243> = 2
3 × 661 ×
[132375189107413010590015128593040847201210287443267776096822995461422087745839636913767019667170953101361573373676248108925869894099848714069591527987897125567322239031770045385779122541603630862329803328290468986384266263237518910741301059<240>]
Free to factor
7×10243-8 = 6
(9
)2422
<244> = 2
3 × 863 × 362053 × 16484087629
<11> × 55361464752068179
<17> × 461514795266694898387
<21> × 1108782544984187175584302116072389
<34> ×
5996814452123316807990182531829707127810831049259910851991568987410542959864070012810933238048100961604431120122738120958304544806137913672286506158757157<154> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1422584299 for P34 x P154 /
November 5, 2022 2022 年 11 月 5 日)
7×10244-8 = 6
(9
)2432
<245> = 2
3 × 13 × 43 × 379 × 404291552791267
<15> × 20068056826669441
<17> × 78830989539509572513
<20> ×
[64574353602453938129621228625007999709216661940426114204113848036351476298046968795381727442909334784662352486766527467164961448764540423211048675604195496146022702195841998568479099616769<188>]
Free to factor
7×10245-8 = 6
(9
)2442
<246> = 2
3 × 17 × 23 × 16218984215128952904837705872325808117
<38> ×
[13797730071878607459893258489103611594450832642875823208229361704394181961031186782824534372394910550846350392071081210192234796697488190419588639212827413253958291803610681323568185405936920355142015142917<206>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:4188184897 for P38 /
November 17, 2022 2022 年 11 月 17 日)
Free to factor
7×10246-8 = 6
(9
)2452
<247> = 2
3 × 608371 × 4154241431394332505539798678336474973179419
<43> ×
[346216543691283121473787097159547847327145750014100517603019554551998696040744781024548878765534574238807167035779194784461706347654019573720276061292275173237718198698514648218837626200221531793951<198>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3446260972 for P43 /
November 30, 2022 2022 年 11 月 30 日)
Free to factor
7×10247-8 = 6
(9
)2462
<248> = 2
3 × 73 ×
119863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863<246>
7×10248-8 = 6
(9
)2472
<249> = 2
3 × 10561506943286633342786440608857
<32> ×
[8284802582610516335426378314231714052996345432451085964967389683534801531951451953774561437600771714671827208146885712226033505329947354156832513143783079624917021451669532585570541612516752522964426364898224097834007<217>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1284461142 for P32 /
November 5, 2022 2022 年 11 月 5 日)
Free to factor
7×10249-8 = 6
(9
)2482
<250> = 2
3 × 3359 × 7951 × 35311 × 4914222307
<10> × 3959401360609
<13> × 6440172223859791039001754944366107
<34> ×
[7404307905338434145967309086238418340131029904901322740180985084318563522059312384265890608514306953328869440266315964545196488259993671113989798194645134013587067786718299022439761<181>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:555149305 for P34 /
November 5, 2022 2022 年 11 月 5 日)
Free to factor
7×10250-8 = 6
(9
)2492
<251> = 2
3 × 13 × 2083 × 3815243741201096592810283
<25> ×
84694097042141364954746980421162451675160635426726023581397443352009992572524784055013616560449858892169493837503711082470875267757626518213056297747561787611696556853605420924211487694781270416453884359918386064213764507<221>
7×10251-8 = 6
(9
)2502
<252> = 2
3 × 577 × 194113 × 7350107 ×
[106287931894612917332543606050531783977871170662894751168904258495082847151798415031503099241037092791162559534522301947232891227195363533010446613065911156164356791185711826765884325393049940328722244554362457027673236475749027823325357<237>]
Free to factor
7×10252-8 = 6
(9
)2512
<253> = 2
3 × 23034191 × 92539087213
<11> × 70885272405821139001
<20> × 1567946201548529954258495018063
<31> ×
[3693369070448252419079599475574101949896616195704757512206758875325485646361576823267507115303238468697407723976854914620365195006171482442203853580517333574322152159502690088684942931<184>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2314514081 for P31 /
November 5, 2022 2022 年 11 月 5 日)
Free to factor
7×10253-8 = 6
(9
)2522
<254> = 2
3 × 16175219153054835842495936018879809
<35> ×
[540950939656819653074344349061619512047108617470931412885582502253562875887322860990186282336446941915497955893856849138251987972750877777901264246416073832634288555943279087999764250715306520869204569847200217545966911<219>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1932883543 for P35 /
November 16, 2022 2022 年 11 月 16 日)
Free to factor
7×10254-8 = 6
(9
)2532
<255> = 2
3 × 15619 ×
[5602151226070811191497535053460528843075741084576477367309046673922786349958384019463473974006018311031436071451437351943146168128561367565145015686023432998271336193098149689480760612075036814136628465330686983801779883475254497727127216851270888021<250>]
Free to factor
7×10255-8 = 6
(9
)2542
<256> = 2
3 × 19 × 73 × 50701961927
<11> ×
12442476441901720451793648177434238027187593973547216079683206981863768611299757501687563006848352106228815775520176756601618257708809994935906134385472393455601235804201797287655420567745016158762869739239047725250279561197991566143164380251<242>
7×10256-8 = 6
(9
)2552
<257> = 2
3 × 13 × 31 × 43787 × 340132519 × 1969962469
<10> × 60548589088479557831
<20> × 3951624816453036765193
<22> × 121370382661628662689831915291727
<33> × 5279136655918774946701414495330391999777189
<43> ×
4827211758762831104471432569067699261471613144606999001535906402388097596014438815328833460693146779177418481840081<115> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2523639335 for P33, B1=1000000, sigma=1:2108973488 for P43 x P115 /
November 5, 2022 2022 年 11 月 5 日)
7×10257-8 = 6
(9
)2562
<258> = 2
3 × 4271988577
<10> × 24341363849277962909
<20> ×
841459198122867728071432896684446258952677476596468718717912869461873981788127452144927031545278236654833522985695205869426824762454578664455034476592417007482551679806494689256102955761465266160857424042394992232332873723641643<228>
7×10258-8 = 6
(9
)2572
<259> = 2
3 × 337 × 531164746921693670563
<21> ×
[4888199347164586628343613198570646178365485566553289406392772141301210203132880591749026661471800829681573829085328340575995373098817874863174845141608834309943961763969294437624211798660053500937687091335291248320729101136575578313829<235>]
Free to factor
7×10259-8 = 6
(9
)2582
<260> = 2
3 × 536791 × 615884197 × 1423859369
<10> × 424439353855189
<15> × 8990706766888246187
<19> × 2084154885723359505010991710905169440881
<40> ×
2337207119600193296058506495789129015889084314086172341588615573589020315936959573587493204865565700054582497003008104252358440570054081922913146491944648985114731<163> (Dmitry Domanov / for P40 x P163 /
December 13, 2022 2022 年 12 月 13 日)
7×10260-8 = 6
(9
)2592
<261> = 2
3 × 173 × 530473781 × 16639995366947
<14> × 7139006633114953
<16> ×
8026145711075396679762041278321997519333866713211006543284382919753326602522871028685094387575552725118515342598064627577092076946664778613322059713648357496466742680683475187884269085862052823204045035998415047420833853<220>
7×10261-8 = 6
(9
)2602
<262> = 2
3 × 17 × 281 × 23564470547534573
<17> ×
[7773115580128191049647416827817834504602951099584045359067163862809949848855450707761428827731474533256987973218965151888989285394536366127995541980718893305027118480437656599326565929683551696803245158660526585751578549257139526162232694819<241>]
Free to factor
7×10262-8 = 6
(9
)2612
<263> = 2
3 × 13 × 72610271 × 69191983222947867447343
<23> ×
[133971020104608661185956807013900748011494581568190510223927815803530603661431750869560489429002418561087304525450496381360644674783435619155655161723152869907571296824016218606983759402199268593093647171941026909808573467526080491<231>]
Free to factor
7×10263-8 = 6
(9
)2622
<264> = 2
3 × 59 × 73 × 1183687 × 28216587733
<11> ×
[608263575507406335727917758906610942651337907551308739171320496542432420340246110639138484373315107253035668314117173716946735880253757204782384963454740829362449418834233197442273658676907229793318704730334457423882448588776609094964627707367<243>]
Free to factor
7×10264-8 = 6
(9
)2632
<265> = 2
3 × 1516759 ×
[576887956491439971676449587574558647748257963196526277411243315516835568471985331881993118221154448399515018536234167722096918495291605324247293076883011737527187905263789435236580102705835271127450043151219145559709881398429150576986851569695647100165550361<258>]
Free to factor
7×10265-8 = 6
(9
)2642
<266> = 2
3 × 29 × 43 × 1353807540573738622993
<22> × 4369776319380628545111524677333351393
<37> ×
[1186111356141995000184247234831164260393910418182103607691466014124925269917786072493112678645737916045593311725870562191385602583342216766707205780625819493188190582225615372221243822365462443755282574833<205>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3725136300 for P37 /
November 5, 2022 2022 年 11 月 5 日)
Free to factor
7×10266-8 = 6
(9
)2652
<267> = 2
3 × 1129 × 2857 × 101081352800641813
<18> × 185144020476141612547920639463
<30> ×
[1449516404637202296674541537246012461131425673946818668785299351203497813984836141956188216133123186811148758825333009208371922733570959737405774087271803025963584724896062771458999236568652442987320717950888223157<214>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2414660707 for P30 /
November 5, 2022 2022 年 11 月 5 日)
Free to factor
7×10267-8 = 6
(9
)2662
<268> = 2
3 × 23 × 311 × 463 × 3779 × 47190193187
<11> × 4900179018547
<13> × 372536282789464027007
<21> ×
811576880155085334180493982788231038398988693557353947876601816006514967198677614408868138386635900036668596066273499832296064017686756905855809155868813663912795451415250512274608349895912102419410697133344996573<213>
7×10268-8 = 6
(9
)2672
<269> = 2
3 × 13 × 317399 × 8699214018947
<13> ×
[243769367822307976191653947664379657826196854960141381676013710564986050751460002569868363331280204246048514075190531997594091708462900463892655341679735755234263844207622311349900534463007725233934347586273049550546304667688104383910281969219312191<249>]
Free to factor
7×10269-8 = 6
(9
)2682
<270> = 2
3 × 163 × 257 × 88227169 × 26159993359
<11> × 36820619347
<11> × 23564577628018088455747
<23> × 40453604375340021047813914935622662889
<38> × 196028499229151088630377896069126696046278825352947
<51> × 367183843459640220099166919524893757602480242603351
<51> × 358209089122358395961083755822993517988232000523198228200910578077996823247
<75> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3351369789 for P38 /
November 18, 2022 2022 年 11 月 18 日) (Dmitry Domanov / GMP-ECM B1=43000000, sigma=1:2846948241 for P51 /
January 15, 2023 2023 年 1 月 15 日) (Eric Jeancolas / cado-nfs-3.0.0 for P51 x P75 /
January 18, 2023 2023 年 1 月 18 日)
7×10270-8 = 6
(9
)2692
<271> = 2
3 × 157 × 1428442859827
<13> × 85518870039083393114070511
<26> × 40019614494102384215854332999078046229467
<41> ×
1140015282641760522328193284583827452539511949164659031110667211457694367653118073984598197067075529436804847653772554815818517061233905365844336785034728199060508962778657402828222001530693<190> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:1960071633 for P41 x P190 /
December 13, 2022 2022 年 12 月 13 日)
7×10271-8 = 6
(9
)2702
<272> = 2
3 × 31 × 67
2 × 73 × 789557 × 54848219 × 22223036831603170337
<20> ×
[895002955406291107628053267632873073425875270608352952824664456026364012816694891418914951286563354006167980281965693896092292554942461279810926080305763278123349591679455732411840299765919497100384923695988494356758865924794450167<231>]
Free to factor
7×10272-8 = 6
(9
)2712
<273> = 2
3 × 57241 × 51142118708876017
<17> × 161080087347617786048579717
<27> ×
[185558250135668526354560870899084623265998410133978391576278749692445437257056334241243204739309192819265251657788299699377895305107432175915929545656774640166889833361989711842011151446817778305942293653364671403966328473051<225>]
Free to factor
7×10273-8 = 6
(9
)2722
<274> = 2
3 × 19 × 107 × 1327 × 53177731 × 664105884770632907
<18> × 786219342386054618571779560607
<30> ×
[11681238631547763694249975505223789334566959319104852449009058179670630960017736159949596593763744721596865428773645136664500367718447461498978562249095468960676985172738967327842105558447291031496509707683039231<212>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3530712544 for P30 /
November 5, 2022 2022 年 11 月 5 日)
Free to factor
7×10274-8 = 6
(9
)2732
<275> = 2
3 × 13 × 3187 × 6113 × 77926133 × 3000163552716284393575907080247382442027
<40> × 28005132794919584075260924398206595445571
<41> ×
[5276701765918740047350837697541446906776533391346677613824691342039339197106092354430079669332355263513655708417247826027885596060951115215596124503529853275753712231573305723253<178>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3976592014 for P40 /
November 30, 2022 2022 年 11 月 30 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3976592161 for P41 /
November 30, 2022 2022 年 11 月 30 日)
Free to factor
7×10275-8 = 6
(9
)2742
<276> = 2
3 × 199 × 8367829 × 492845519 × 24368783408000001641719378387500253
<35> ×
[4375196065346507883545645833720183893124190429543297367358480259937493716449474535806364991721743295409842038244044190699455909871935411788457472868573227760038189671738217222326093366198045714329993463536561669485301842567<223>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1527199088 for P35 /
November 5, 2022 2022 年 11 月 5 日)
Free to factor
7×10276-8 = 6
(9
)2752
<277> = 2
3 × 22044413 × 204138119 × 834638291 ×
[232963080444599863029173433559603388649242161628950724378340632864600446409935618508943421530270086918654444781062750578758497562095695124291343531020456202430512940995028343965633881907379047180396492108861753369253707570499067737962921302617903274287<252>]
Free to factor
7×10277-8 = 6
(9
)2762
<278> = 2
3 × 17 × 198080448161
<12> × 440799209350139
<15> × 10693319808039982655867786009955304189
<38> × 7297680582289006641750596765512613626380043
<43> ×
75540404977071582522048305391535202532125713637076065102276207169504538618187266673371646080680834517049084763119195141708730269484059934284279703808752572075316253182659<170> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2803545386 for P43 /
November 5, 2022 2022 年 11 月 5 日) (Dmitry Domanov / for P38 x P170 /
November 16, 2022 2022 年 11 月 16 日)
7×10278-8 = 6
(9
)2772
<279> = 2
3 × 3833 × 8654021 ×
[2637857246505574002651845969291962841938274589440293333526737609993926545321439435506088394552376163323055984548529357409374130740966380213561364631231085788577779686013423913897142933720219078899185499089578948802644267740053785884535757886661834771605135181553869643<268>]
Free to factor
7×10279-8 = 6
(9
)2782
<280> = 2
3 × 73 × 34039 × 237749 × 1704279116387
<13> ×
[869058434245900318953150476113123342039110467161791554640137553214190630266823374768534459320133992464495827300829826578883323009844336476562838105399758169808452127264428555913183619950430099676301411537270585373123525345735571133108311228614488598281359<255>]
Free to factor
7×10280-8 = 6
(9
)2792
<281> = 2
3 × 13 × 248569273 × 764468651209
<12> × 676711785440633478334827316664323947780716051
<45> ×
5234242478090376207808122233724905489239651984606860607811083037761459094173311981693351050735005489153369918909469444760895635120605835635983145216187177383475500340659524911274090392760969888332540647427221181689<214> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:1375556818 for P45 x P214 /
December 3, 2022 2022 年 12 月 3 日)
7×10281-8 = 6
(9
)2802
<282> = 2
3 × 929171 × 8859682471
<10> × 10258771015939
<14> × 331036850309554525614159887
<27> ×
3129843136328011402665447815849616513729795240321597620285457320724890453713430549686149982023769698482715577442446843131975596651541624203833403655200037553033273049009214816161042043209933317663357591608866167250192706645823<226>
7×10282-8 = 6
(9
)2812
<283> = 2
3 × 47 × 503 × 1053361 × 88822681921
<11> ×
[395586163710458268576069429184234465204599166709899791356128247237603013552825092854379520472843493139159128724107265712655701714750858773507252414684704607426046324470640630504570640760291183629016366198592784259000149276690451509549167388635965003307128822919<261>]
Free to factor
7×10283-8 = 6
(9
)2822
<284> = 2
3 × 3657037 × 6498475639486016010735494123
<28> ×
[368185942929130514289743506228182521395524429648793031741148166007259037029415416232141035374534903118122844473389489933320745371295373057593642672110495077654124718860684697281097936531426938952938544352849050948975351731020609704483472693589616049<249>]
Free to factor
7×10284-8 = 6
(9
)2832
<285> = 2
3 × 3380098003813897342759
<22> ×
[25886823370585797552157140649354886920147869383573232355581003211909574700650285544087793636181250753191527983006931777427421331390971790529877753477967465858466651413698947010139012296931767413113793497819257183838126280747051895260236583449328660763363861696361<263>]
Free to factor
7×10285-8 = 6
(9
)2842
<286> = 2
3 × 262150845488122641167867
<24> × 607647412073233583790104196343
<30> × 16786350574304052292757891569189
<32> ×
[327226787524140424798009502499255837452390840370937545631750081800120301016537131155170710709455153027268488842092450780376353736471972301441809930274523971233701590950438019849183542819728139940682111<201>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:375784529 for P30 /
November 5, 2022 2022 年 11 月 5 日) (Dmitry Domanov / for P32 /
November 16, 2022 2022 年 11 月 16 日)
Free to factor
7×10286-8 = 6
(9
)2852
<287> = 2
3 × 13
2 × 31 × 43 × 14409073849
<11> × 69184945700237
<14> × 6184557800549314545393283
<25> ×
6299917679594720538701787425569259129614239584480190105742971564489721069631616748920458150905001251710959833827878255655945129688219387327816500746955427728907891678911750405771795750593047733142350623347648326501642045041697418053<232>
7×10287-8 = 6
(9
)2862
<288> = 2
3 × 73 ×
[1198630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863013698630136986301369863<286>]
Free to factor
7×10288-8 = 6
(9
)2872
<289> = 2
3 × 677 × 853 × 46861 × 1177032330553
<13> ×
[27470743191304873519796878345009237517754360732783709721342572435468170953299193446248132748064874092167621779978590516527786616016281737296583627568529719303286805870544774316833232109505754686490010518305158437789859190424698950456102818103968385537183906381523963<266>]
Free to factor
7×10289-8 = 6
(9
)2882
<290> = 2
3 × 23 × 281 × 167174044098431
<15> × 288134156614873777099
<21> × 710162237170634459595623
<24> ×
[39577898384029143555316462014021974717295539602307135047081944588358949852567581483657980802461996243335990286697881605233332684568719019098849991363280293746792150551586407205466132989819968874160243488892627344685059475965979<227>]
Free to factor
7×10290-8 = 6
(9
)2892
<291> = 2
3 × 1130011 ×
[77432874547238920683072996634546035392575824483124500557959170308961594179171707178071717885932083846971401163351507197717544342488701437419635738059187034462496382778574721838990947875728643349489518243627716898331078193044138508386201550250395792607328601226005764545654865306620909<284>]
Free to factor
7×10291-8 = 6
(9
)2902
<292> = 2
3 × 19 × 602807247005401
<15> × 1648914415943786197
<19> ×
46331661246389996104502179068953859778548641448725473288490364813841094177108057975406902203236134081046464781891617819006922680860361132363083027180174474509968398796164060720071371325607872531558293153175811915319970336552945387753278451468011686371627193<257>
7×10292-8 = 6
(9
)2912
<293> = 2
3 × 13 × 13001 × 15391 × 148457 × 3862489826543
<13> × 18260053831961391577
<20> ×
[321255833145305090807282601760849544164321148153661287906519230239190320381529477201772156922572621921493663759431577861539072141790661749888161649645489056161300370461425802229259454628626750836299102857878295207821863129849343508198369149953939<246>]
Free to factor
7×10293-8 = 6
(9
)2922
<294> = 2
3 × 17 × 29 × 8521 × 107723797 × 848944673 × 425793278689
<12> ×
534910011613841298198986730805143966032358230735015258566637170037180472778321439863007522761805473942690016238759445021469035445954979823679883596216853178677130610985736898473000700798083628430852534991284456147109226647622780855859837776351473591788624887<258>
7×10294-8 = 6
(9
)2932
<295> = 2
3 × 1099793 × 7252574812742450810369480846640251009
<37> ×
109699559708588270926505711976685682336591858692907895169629827070568987291221570229892904027395938498230922054516527324190117015112506521660931091726415797958755371079085901337167818519088752145629342929975550641946100440775690423403599516000591318927<252> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3133558523 for P37 x P252 /
December 3, 2022 2022 年 12 月 3 日)
7×10295-8 = 6
(9
)2942
<296> = 2
3 × 73 × 5209 × 7669 × 666187 × 6600082662619928391224994639767
<31> ×
682411864951919832364954393845365095878167493867145367105974634138266442834467726629086362913688106779588453647839572651438103999558175786176783354662689299162446201439343836807779375326786141104381142047481831455778220986232228336162460354410268607<249> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3264418526 for P31 x P249 /
November 5, 2022 2022 年 11 月 5 日)
7×10296-8 = 6
(9
)2952
<297> = 2
3 × 977 × 3642876049
<10> ×
[24584936728662652484428717820677259982453944762050447499171180484200396264644354818238739364778709270402777990334313500980252792890815178536831432011362677819810918539347934609490248531065557395289544607794754542499736752054919030708096111002964045976297601765830583662486436244596063<284>]
Free to factor
7×10297-8 = 6
(9
)2962
<298> = 2
3 ×
874999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999<297>
7×10298-8 = 6
(9
)2972
<299> = 2
3 × 13 × 61 × 312979 × 1297459 × 567204293 × 13830838603
<11> ×
[3463681911026276703678689900989145203407833210075249669351634574548330624254873149858112176765109724820153461046199456861474808004410112351521528126340442436324876369372811681525115161086074939758077573458874384240538743609806529285890897778404311896693439968398297<265>]
Free to factor
7×10299-8 = 6
(9
)2982
<300> = 2
3 × 109 × 1187 × 4834981 × 767568359 × 3189366247
<10> × 2013550148833
<13> × 9057072143346570323
<19> × 12927668785858861006059944221
<29> × 62927380125073639566485611827961945397
<38> ×
[3851274388197854152857856600531349711517144324884319878867379606009719330006125444533043393053766307711938538971492842439898102953684407609108880866349450707448722062263207<172>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:169936914 for P38 /
November 17, 2022 2022 年 11 月 17 日)
Free to factor
7×10300-8 = 6
(9
)2992
<301> = 2
3 × 1981703689080678059803899456419767156553601509603851
<52> ×
[441539269882429667505481056393782763462203055155058253861537228536752463150689522801630919336268657783937092648757525683602425780639881865092297930865062114037576341633960125663225738530104641677784165951046611927919035991872105550971045783322656349<249>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000, sigma=3:1648826597 for P52 /
January 23, 2023 2023 年 1 月 23 日)
Free to factor