30w4 = { 34, 304, 3004, 30004, 300004, 3000004, 30000004, 300000004, 3000000004, 30000000004, … }
3×106+4 = 3000004 = 2
2 × 7 × 307 × 349
3×107+4 = 30000004 = 2
2 × 23 × 326087
3×108+4 = 300000004 = 2
2 × 67 × 1119403
3×109+4 = 3000000004
<10> = 2
2 × 29 × 163 × 158663
3×1010+4 = 30000000004
<11> = 2
2 × 13 × 223 × 2587099
3×1011+4 = 300000000004
<12> = 2
2 × 75000000001
<11>
3×1012+4 = 3000000000004
<13> = 2
2 × 7
2 × 2251 × 6799699
3×1013+4 = 30000000000004
<14> = 2
2 × 31 × 241935483871
<12>
3×1014+4 = 300000000000004
<15> = 2
2 × 6079 × 12337555519
<11>
3×1015+4 = 3000000000000004
<16> = 2
2 × 1222717 × 613388053
3×1016+4 = 30000000000000004
<17> = 2
2 × 13 × 854593 × 675085189
3×1017+4 = 300000000000000004
<18> = 2
2 × 17 × 4411764705882353
<16>
3×1018+4 = 3000000000000000004
<19> = 2
2 × 7 × 2184859 × 49038797077
<11>
3×1019+4 = 30000000000000000004
<20> = 2
2 × 47 × 769 × 2440577 × 85024591
3×1020+4 = 300000000000000000004
<21> = 2
2 × 19 × 43 × 1117 × 13477 × 6098075617
<10>
3×1021+4 = 3000000000000000000004
<22> = 2
2 × 1366319309
<10> × 548920003589
<12>
3×1022+4 = 30000000000000000000004
<23> = 2
2 × 13 × 61 × 5839 × 1619756012912263
<16>
3×1023+4 = 300000000000000000000004
<24> = 2
2 × 330131 × 2953837 × 76910994983
<11>
3×1024+4 = 3000000000000000000000004
<25> = 2
2 × 7 × 313 × 342309447740757644911
<21>
3×1025+4 = 30000000000000000000000004
<26> = 2
2 × 1747 × 2398603 × 1789822592930161
<16>
3×1026+4 = 300000000000000000000000004
<27> = 2
2 × 97 × 773195876288659793814433
<24>
3×1027+4 = 3000000000000000000000000004
<28> = 2
2 × 309059 × 2426721111502981631339
<22>
3×1028+4 = 30000000000000000000000000004
<29> = 2
2 × 13 × 31 × 29629 × 161796931 × 3882119892733
<13>
3×1029+4 = 300000000000000000000000000004
<30> = 2
2 × 23 × 2147309 × 1518584221095981670243
<22>
3×1030+4 = 3000000000000000000000000000004
<31> = 2
2 × 7 × 643 × 166629637858253721395245501
<27>
3×1031+4 = 30000000000000000000000000000004
<32> = 2
2 × 491 × 15274949083503054989816700611
<29>
3×1032+4 = 300000000000000000000000000000004
<33> = 2
2 × 3931 × 46056419371
<11> × 414255276238212601
<18>
3×1033+4 = 3000000000000000000000000000000004
<34> = 2
2 × 17 × 609299677781
<12> × 72407139979943815213
<20>
3×1034+4 = 30000000000000000000000000000000004
<35> = 2
2 × 13 × 15901003 × 36282181502832049215821359
<26>
3×1035+4 = 300000000000000000000000000000000004
<36> = 2
2 × 61610621873
<11> × 1217322560947363349785937
<25>
3×1036+4 = 3000000000000000000000000000000000004
<37> = 2
2 × 7 × 5023 × 450601 × 12151801 × 21610753 × 180259161097
<12>
3×1037+4 = 30000000000000000000000000000000000004
<38> = 2
2 × 29 × 151 × 1451 × 1180372018636028196097249434169
<31>
3×1038+4 = 300000000000000000000000000000000000004
<39> = 2
2 × 19 × 1182073 × 17484739 × 68721409 × 2779151074725073
<16>
3×1039+4 = 3000000000000000000000000000000000000004
<40> = 2
2 × 36299 × 37879 × 9883668741013
<13> × 55188668483856737
<17>
3×1040+4 = 30000000000000000000000000000000000000004
<41> = 2
2 × 13 × 139 × 4150525733259546209186496956281128943
<37>
3×1041+4 = 300000000000000000000000000000000000000004
<42> = 2
2 × 43 × 67 × 26032627559875043387712599791738979521
<38>
3×1042+4 = 3000000000000000000000000000000000000000004
<43> = 2
2 × 7 × 128767 × 9553716213631
<13> × 87093613349564439669559
<23>
3×1043+4 = 30000000000000000000000000000000000000000004
<44> = 2
2 × 31 × 23731181 × 2961174580073
<13> × 3442834967299409875267
<22>
3×1044+4 = 300000000000000000000000000000000000000000004
<45> = 2
2 × 209563 × 91823569 × 3897557109819383710427518619683
<31>
3×1045+4 = 3000000000000000000000000000000000000000000004
<46> = 2
2 × 149 × 409 × 5465437290748678073
<19> × 2251784219676351944557
<22>
3×1046+4 = 30000000000000000000000000000000000000000000004
<47> = 2
2 × 13 × 1873 × 268682749 × 1146411016063432312892466008904601
<34>
3×1047+4 = 300000000000000000000000000000000000000000000004
<48> = 2
2 × 59 × 157 × 1559166779
<10> × 5192984503369608835225022757394813
<34>
3×1048+4 = 3000000000000000000000000000000000000000000000004
<49> = 2
2 × 7 × 439 × 4057 × 58672073590729
<14> × 1025326679537129519574349729
<28>
3×1049+4 = 30000000000000000000000000000000000000000000000004
<50> = 2
2 × 17 × 300047961533602926233917
<24> × 1470353167317976013306309
<25>
3×1050+4 = 300000000000000000000000000000000000000000000000004
<51> = 2
2 × 531624654167852587
<18> × 141076978676613188377427356731523
<33>
3×1051+4 = 3
(0
)504
<52> = 2
2 × 23
3 × 120877 × 509957616341395719957955368018498602381939
<42>
3×1052+4 = 3
(0
)514
<53> = 2
2 × 13 × 277 × 421 × 4947161022175814187270492954912893686828876381
<46>
3×1053+4 = 3
(0
)524
<54> = 2
2 × 941 × 79702444208289054197662061636556854410201912858661
<50>
3×1054+4 = 3
(0
)534
<55> = 2
2 × 7
2 × 4801 × 142297 × 2118186162487403581
<19> × 10577270395188706713416557
<26>
3×1055+4 = 3
(0
)544
<56> = 2
2 × 10987 × 730917622027
<12> × 2664532739413
<13> × 10311417977881
<14> × 33991807129933
<14>
3×1056+4 = 3
(0
)554
<57> = 2
2 × 19 × 40057538467
<11> × 98542460972846167046716860388071223391664937
<44>
3×1057+4 = 3
(0
)564
<58> = 2
2 × 895211025311093743027337
<24> × 837791290315452014925825652601273
<33>
3×1058+4 = 3
(0
)574
<59> = 2
2 × 13
2 × 31 × 283 × 9697 × 15001387 × 34774237733789185172272149059743245474607
<41>
3×1059+4 = 3
(0
)584
<60> = 2
2 × 3125701838141
<13> × 49458562320983
<14> × 485145745596858487942694870545267
<33>
3×1060+4 = 3
(0
)594
<61> = 2
2 × 7 × 47317927 × 3520592851895809
<16> × 143746996943854357
<18> × 4474277644730995693
<19>
3×1061+4 = 3
(0
)604
<62> = 2
2 × 76603 × 61080001497880564270959137
<26> × 1602936972165253925738748249491
<31>
3×1062+4 = 3
(0
)614
<63> = 2
2 × 43 × 3347796097
<10> × 935078130104133463627
<21> × 557167671441446573198811744553
<30>
3×1063+4 = 3
(0
)624
<64> = 2
2 × 745709 × 1005754255346254370002239479475237659730538319907631529189
<58>
3×1064+4 = 3
(0
)634
<65> = 2
2 × 13 × 223963 × 196820241697
<12> × 316068387749578137841
<21> × 41408625303903784623442927
<26>
3×1065+4 = 3
(0
)644
<66> = 2
2 × 17 × 29 × 47 × 211333 × 538589 × 1337040593219
<13> × 188690973036381527
<18> × 112718700134792337151
<21>
3×1066+4 = 3
(0
)654
<67> = 2
2 × 7 × 2179 × 807787 × 1638497243293
<13> × 429389577894387919
<18> × 86519085311819407657726573
<26>
3×1067+4 = 3
(0
)664
<68> = 2
2 × 199 × 37688442211055276381909547738693467336683417085427135678391959799
<65>
3×1068+4 = 3
(0
)674
<69> = 2
2 × 1471 × 2320471 × 4071395863
<10> × 5396710412457593976633193287449185353989460466447
<49>
3×1069+4 = 3
(0
)684
<70> = 2
2 × 1571 × 13885733139037
<14> × 34380822624998315557420615148751039869278518598733063
<53>
3×1070+4 = 3
(0
)694
<71> = 2
2 × 13 × 787 × 14320507 × 2838174295569409
<16> × 77198189465266697521
<20> × 233635378760828591719477
<24>
3×1071+4 = 3
(0
)704
<72> = 2
2 × 263 × 29207 × 2727841 × 122867926894729
<15> × 29131374810097354952292348477327945476464249
<44>
3×1072+4 = 3
(0
)714
<73> = 2
2 × 7 × 304148743 × 208009612699446182824147027
<27> × 1693533500670590198456753122383964363
<37>
3×1073+4 = 3
(0
)724
<74> = 2
2 × 23 × 31 × 2069 × 12721 × 13188283055897
<14> × 30304123732437180148259895517688315504235613969709
<50>
3×1074+4 = 3
(0
)734
<75> = 2
2 × 19 × 67 × 63389927451180704987701748221
<29> × 929421265361895060341411468436493262631997
<42>
3×1075+4 = 3
(0
)744
<76> = 2
2 × 4831 × 12601 × 11280341 × 246694191690194167849691
<24> × 4427290929666550780899497916244004641
<37>
3×1076+4 = 3
(0
)754
<77> = 2
2 × 13 × 4513 × 261175217179
<12> × 10885403516936677
<17> × 44965153494929118172301520520064656835137363
<44>
3×1077+4 = 3
(0
)764
<78> = 2
2 × 1097 × 1129 × 8759839932047
<13> × 6912967632916078092200699727844192348155832552032469584991
<58>
3×1078+4 = 3
(0
)774
<79> = 2
2 × 7 × 2421319 × 1269219275646987463
<19> × 52284196296505333639
<20> × 666813091661942911865952114066721
<33>
3×1079+4 = 3
(0
)784
<80> = 2
2 × 2447 × 1069793854489
<13> × 2865016947552184877417404473455497783985424203563918386041026247
<64>
3×1080+4 = 3
(0
)794
<81> = 2
2 × 2128827184394129129164074529
<28> × 35230666232470736900326119651353280531323025347417569
<53>
3×1081+4 = 3
(0
)804
<82> = 2
2 × 17 × 113 × 55103 × 7085306705402951642413299676174087043824218528694873373429682293997092927
<73>
3×1082+4 = 3
(0
)814
<83> = 2
2 × 13 × 61 × 9457755359394703656998738965952080706179066834804539722572509457755359394703657
<79>
3×1083+4 = 3
(0
)824
<84> = 2
2 × 43 × 114906367283293
<15> × 15179194049460013709449786383511309638419838848348369631795532258399
<68>
3×1084+4 = 3
(0
)834
<85> = 2
2 × 7 × 541 × 4003 × 71233 × 12671041 × 17963653 × 16580341756944388907347
<23> × 184034269417927737836658923448644767
<36>
3×1085+4 = 3
(0
)844
<86> = 2
2 × 441907 × 4580689 × 443308098928213
<15> × 43844178791547647
<17> × 190625927482594774935567522594132010573217
<42>
3×1086+4 = 3
(0
)854
<87> = 2
2 × 139 × 883 × 2677 × 4976467152708902497327643614909
<31> × 45868680449944184580561934397099697502643142961
<47> (Eric Jeancolas / ECM for P31 x P47 /
June 7, 2022 2022 年 6 月 7 日)
3×1087+4 = 3
(0
)864
<88> = 2
2 × 2090004825712732600272649017409893199
<37> × 358850846071245459143665425790731205553476015866799
<51> (Eric Jeancolas / ECM for P37 x P51 /
June 7, 2022 2022 年 6 月 7 日)
3×1088+4 = 3
(0
)874
<89> = 2
2 × 13 × 31 × 23096664901129100558230819
<26> × 805762300137042780505725017867163700522593755118502182897193
<60>
3×1089+4 = 3
(0
)884
<90> = 2
2 × 858010091 × 1653559038284929
<16> × 1896460529650450026472283135401
<31> × 27874388838411716951055326734357259
<35> (Eric Jeancolas / ECM for P31 x P35 /
June 7, 2022 2022 年 6 月 7 日)
3×1090+4 = 3
(0
)894
<91> = 2
2 × 7 × 163 × 8821 × 101141396275743282896113
<24> × 736764771842237947214114325961264459415519801218248934016857
<60>
3×1091+4 = 3
(0
)904
<92> = 2
2 × 5309 × 54151 × 40904882233756213
<17> × 637774146592195353555719669830574014169481755441696524728451951703
<66>
3×1092+4 = 3
(0
)914
<93> = 2
2 × 19 × 19208330309369782993368770185084004176044649
<44> × 205502943643524996678604964120193565530044313571
<48> (Eric Jeancolas / ECM for P44 x P48 /
June 7, 2022 2022 年 6 月 7 日)
3×1093+4 = 3
(0
)924
<94> = 2
2 × 29 × 22045943 × 10922374803573697963
<20> × 107403271441882122363658972621707277826252431935351904389192460441
<66>
3×1094+4 = 3
(0
)934
<95> = 2
2 × 13 × 1196227 × 2354043877
<10> × 23809482482937030157
<20> × 8604780597387373704396398070144154959263613960798428215159
<58>
3×1095+4 = 3
(0
)944
<96> = 2
2 × 23 × 3864953 × 2029639258569406441
<19> × 415690745230582726150433699514310965073375744909603071389724573957319
<69>
3×1096+4 = 3
(0
)954
<97> = 2
2 × 7
3 × 45337934071
<11> × 5626951925149
<13> × 8571014149351217668481636987840088948616050697231820709896461701820933
<70>
3×1097+4 = 3
(0
)964
<98> = 2
2 × 17 × 17707 × 9598077971
<10> × 2595870846832913787015709888437464909936862483706867020726439219647764725661370049
<82>
3×1098+4 = 3
(0
)974
<99> = 2
2 × 3733 × 264876877 × 1366781182177547333780870919608378449
<37> × 55495815210232534230685561959635646969074013912289
<50> (Eric Jeancolas / ECM for P37 x P50 /
June 7, 2022 2022 年 6 月 7 日)
3×1099+4 = 3
(0
)984
<100> = 2
2 × 154884274372184429
<18> × 49400423487431926062176043412548446506693
<41> × 98021933771899501436442395114956487609633
<41> (Eric Jeancolas / ECM for P41(4940...) x P41(9802...) /
June 7, 2022 2022 年 6 月 7 日)
3×10100+4 = 3
(0
)994
<101> = 2
2 × 13 × 390337150605757
<15> × 1478012215920930603703254781707568486048769668784107161778653850717321941885240206761
<85>
3×10101+4 = 3
(0
)1004
<102> = 2
2 × 1061 × 13559893 × 1669951331
<10> × 36829919443
<11> × 548662819908713
<15> × 154482575913913561788717056148634956881604741471389232953
<57>
3×10102+4 = 3
(0
)1014
<103> = 2
2 × 7 × 176023 × 471697651 × 1597098188845648120706840367924397
<34> × 807976024999687617667429191292826856588413117140987303
<54> (Eric Jeancolas / ECM for P34 x P54 /
June 7, 2022 2022 年 6 月 7 日)
3×10103+4 = 3
(0
)1024
<104> = 2
2 × 31
2 × 1553 × 1699727 × 1197719521369104732546059
<25> × 2468494243103446924552623709174291506785811022932534957848717030429
<67>
3×10104+4 = 3
(0
)1034
<105> = 2
2 × 43 × 109 × 5821 × 42643 × 52567 × 116167 × 260173916566989706653217
<24> × 40575253242538535325247310001444148607179654158319331044057
<59>
3×10105+4 = 3
(0
)1044
<106> = 2
2 × 59 × 131 × 21997 × 49800371 × 29063100674918689
<17> × 3047894826976201293875638377207948732767631587974338927241693377576826583
<73>
3×10106+4 = 3
(0
)1054
<107> = 2
2 × 13 × 12545312883645728148282094246047579409315873
<44> × 45987141355012606698727951360448280376311556873925068801946149
<62> (Eric Jeancolas / ECM for P44 x P62 /
June 7, 2022 2022 年 6 月 7 日)
3×10107+4 = 3
(0
)1064
<108> = 2
2 × 67 × 13015571 × 3475858086198726201977
<22> × 24743503838069747492614590791287815518010580943670267817282504043705292713809
<77>
3×10108+4 = 3
(0
)1074
<109> = 2
2 × 7 × 181 × 145141194973
<12> × 327077791477494353333166691
<27> × 975237662313273405641807857
<27> × 12785933247113830385394436185055432062253
<41>
3×10109+4 = 3
(0
)1084
<110> = 2
2 × 28433 × 162419 × 1185246131323
<13> × 180882474020323
<15> × 1451838525421747
<16> × 159446331733072962037
<21> × 32723809934119881103166593121377867573
<38>
3×10110+4 = 3
(0
)1094
<111> = 2
2 × 19 × 13410940033
<11> × 321309279349644137337893611549
<30> × 394091121829396096332166615827553
<33> × 2324494498760407481877827989744252279
<37> (Eric Jeancolas / ECM for P30 x P33 x P37 /
June 7, 2022 2022 年 6 月 7 日)
3×10111+4 = 3
(0
)1104
<112> = 2
2 × 47 × 167 × 1597 × 68317979 × 2886201220545462577618050233
<28> × 554567638170997495696214007857
<30> × 547174536867947255485359990744437359583
<39> (Eric Jeancolas / ECM for P30 x P39 /
June 7, 2022 2022 年 6 月 7 日)
3×10112+4 = 3
(0
)1114
<113> = 2
2 × 13 × 151 × 193 × 34123 ×
580144859768911051166492639981368494670278442599270580912941395712381414862415579086547526060168402793<102>
3×10113+4 = 3
(0
)1124
<114> = 2
2 × 17 × 53437 × 6380923 × 230012739883
<12> × 1725976699457
<13> × 1609352667474009466193
<22> × 20251105010927962262645953888030961705461245038775874541
<56>
3×10114+4 = 3
(0
)1134
<115> = 2
2 × 7 × 585283 × 395326345457709275460591408403
<30> × 463064572438979251139026018495861553094442808580157425562113406038014300284207
<78> (Eric Jeancolas / ECM for P30 x P78 /
June 7, 2022 2022 年 6 月 7 日)
3×10115+4 = 3
(0
)1144
<116> = 2
2 × 997 × 2903 × 40494853544599
<14> × 63991050038804795935589662136851909487111416355095363273982014548558558216122528502230268538589
<95>
3×10116+4 = 3
(0
)1154
<117> = 2
2 × 22451641113470336947
<20> × 8250512193871941209943139498963523534548976653
<46> × 404885535050374698760636130457614810184960187084711
<51> (Eric Jeancolas / ECM for P46 x P51 /
June 7, 2022 2022 年 6 月 7 日)
3×10117+4 = 3
(0
)1164
<118> = 2
2 × 23 × 6866177 × 810583940271875153
<18> × 5858958713335882214540579202498373802612323579335544405835018878256035628346064234381271927
<91>
3×10118+4 = 3
(0
)1174
<119> = 2
2 × 13 × 31 × 586897 × 20370307 × 408627762875028837584229926887339
<33> × 3809507942581167418586949668665110616538671433767274171120363376713707
<70> (Eric Jeancolas / ECM for P33 x P70 /
June 7, 2022 2022 年 6 月 7 日)
3×10119+4 = 3
(0
)1184
<120> = 2
2 × 1703850371
<10> × 17375203177357
<14> × 95661521566441
<14> × 1694852501228939740585790478039767584577
<40> × 15625384950293565306934987056061117980432319
<44> (Eric Jeancolas / ECM for P40 x P44 /
June 7, 2022 2022 年 6 月 7 日)
3×10120+4 = 3
(0
)1194
<121> = 2
2 × 7 × 350899 × 9530368939233598767697
<22> × 293416928857718835502873
<24> × 426914554437353473354802624846257
<33> × 255767436862237296643798891480453621
<36> (Eric Jeancolas / ECM for P33 x P36 /
June 7, 2022 2022 年 6 月 7 日)
3×10121+4 = 3
(0
)1204
<122> = 2
2 × 29 × 277 × 3391 × 65394488940167
<14> ×
4210314682115543250171145085396633966393831397153039746826850491790829718090314728995365373108556201<100>
3×10122+4 = 3
(0
)1214
<123> = 2
2 × 97 × 349 × 1214168521
<10> × 3185533457143
<13> × 572799938146022623623762776090066679328604543298826816702688900461231926377761133079970900897339
<96>
3×10123+4 = 3
(0
)1224
<124> = 2
2 × 2591153 × 33985061612304278630362539737827556281
<38> × 8516872469541817203242958129185248716774679270820057528251120932697244843424857
<79> (Eric Jeancolas / ECM for P38 x P79 /
June 7, 2022 2022 年 6 月 7 日)
3×10124+4 = 3
(0
)1234
<125> = 2
2 × 13 × 5051070061
<10> × 73688903719
<11> ×
1550002587394624082109754840231453662829437923749506189793547597751914393783568748488911494693856297503<103>
3×10125+4 = 3
(0
)1244
<126> = 2
2 × 43 × 157 × 35171 × 414625139573446935841903093695686310644599
<42> × 761820768549292420439316363700944700075299349740325758211279347377197518419
<75> (Eric Jeancolas / ECM for P42 x P75 /
June 7, 2022 2022 年 6 月 7 日)
3×10126+4 = 3
(0
)1254
<127> = 2
2 × 7 × 337 ×
317931326833403984739296311996608732513777024162780839338702840186519711742263671047053836371343789741415854175498092412039<123>
3×10127+4 = 3
(0
)1264
<128> = 2
2 × 86911810247
<11> × 199593615125291291718721
<24> × 432350358361298943028251364418134097918447162726210656141115580025677594886534583674884468023
<93>
3×10128+4 = 3
(0
)1274
<129> = 2
2 × 19 × 751 × 5167 × 50773 × 1430296049063131
<16> × 109404510339568137476227909
<27> × 1429994825417726581430667829
<28> × 89536642963381800625916358556790946073680270709
<47>
3×10129+4 = 3
(0
)1284
<130> = 2
2 × 17 × 8947021351
<10> ×
4930987121640493491180079992898738436962805481438949753441671822541263175072348493513332467315724204718851444208363303<118>
3×10130+4 = 3
(0
)1294
<131> = 2
2 × 13 × 1140087183853
<13> × 1338543129196917377733404846196345626110892924299
<49> × 378048464370038768958555711677614571564184142225765990574268141068491
<69> (Eric Jeancolas / ECM for P49 x P69 /
June 7, 2022 2022 年 6 月 7 日)
3×10131+4 = 3
(0
)1304
<132> = 2
2 × 373 × 2089 × 2557 × 76219709 × 28665580538783
<14> ×
17228808176733363357544842943624592657133893388752609238724515443086187400912093648752264243037386227<101>
3×10132+4 = 3
(0
)1314
<133> = 2
2 × 7 × 139 × 13297 × 900973 × 511645759 × 9159293953
<10> ×
13729401387838646186656770157997440592352772249194184543277897785542264388208747483006872001009949751<101>
3×10133+4 = 3
(0
)1324
<134> = 2
2 × 31 × 573101 × 467443349 × 1436829526967230533231535586676097134863777087
<46> × 628541813537251562954210931605713997187912273216336032870944162539319217
<72> (Eric Jeancolas / ECM for P46 x P72 /
June 7, 2022 2022 年 6 月 7 日)
3×10134+4 = 3
(0
)1334
<135> = 2
2 × 802207319037729841
<18> ×
93492041546024039875037737960774160273823588358410526480359523899045535310621258369459446817263924533748458697751761<116>
3×10135+4 = 3
(0
)1344
<136> = 2
2 × 983 × 2865559 × 838171913527239001
<18> × 128914196036435114783893293265984409020233594142111
<51> × 2464135255641928402599957084942075640695116903363751714503
<58> (Eric Jeancolas / ECM for P51 x P58 /
June 7, 2022 2022 年 6 月 7 日)
3×10136+4 = 3
(0
)1354
<137> = 2
2 × 13
2 × 1801 × 71949643 × 1196113546327028133152170513
<28> × 403722104333318970571146770232898796943127039
<45> × 709213943357735206398913520221399321458762218211229
<51> (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P51 /
June 13, 2022 2022 年 6 月 13 日)
3×10137+4 = 3
(0
)1364
<138> = 2
2 × 643 × 1223 × 233072706958680591749
<21> ×
409196973796464174663706933883639475810083573485846378924367794900471186821353785968266260400183684046130809241<111>
3×10138+4 = 3
(0
)1374
<139> = 2
2 × 7
2 × 626667961 × 969970725187
<12> × 2434845702474581164004929813
<28> × 10341835367236660976922048745184189303584962949230061392225174328351947766991003689513639
<89>
3×10139+4 = 3
(0
)1384
<140> = 2
2 × 23 × 303497213651106320385211457
<27> × 372290112887518116637609635030634659055651843
<45> × 2886005912860319653314862663173015469991854995776400156702015061837
<67> (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P67 /
June 15, 2022 2022 年 6 月 15 日)
3×10140+4 = 3
(0
)1394
<141> = 2
2 × 67 × 1303 × 1381 × 13933 × 20899 × 2195359471
<10> × 368310464564071
<15> × 539337333212590307631251445493351
<33> × 4898893962818963958561130875424171362006386157889743953443775247793
<67> (Eric Jeancolas / ECM for P33 x P67 /
June 7, 2022 2022 年 6 月 7 日)
3×10141+4 = 3
(0
)1404
<142> = 2
2 × 1259 × 547223 × 627669374523735140304274463077
<30> × 66176481802702939983290375811570187793146754653
<47> × 26208162751758205749390949674016745878907972892356330053
<56> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2999626470 for P30 /
June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P47 x P56 /
June 15, 2022 2022 年 6 月 15 日)
3×10142+4 = 3
(0
)1414
<143> = 2
2 × 13 × 61 × 19429 × 8336184168677570330325691
<25> × 2906566058118521989386549535459
<31> × 20090471502249115364437000456896354590392092657899831513377459330805574633213157
<80> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1335348973 for P31 x P80 /
June 7, 2022 2022 年 6 月 7 日)
3×10143+4 = 3
(0
)1424
<144> = 2
2 × 1305889367
<10> ×
57432123957250966727566593319233297654991933171931554596998261645237823580502436237387634690803022672899977751331212117909832096825703<134>
3×10144+4 = 3
(0
)1434
<145> = 2
2 × 7 × 1348537 × 217784543577855546206984900683
<30> ×
364815517202605554461934590432861103595069631000545880080384513685960634508041537674114068951369988654202733<108> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:567972434 for P30 x P108 /
June 7, 2022 2022 年 6 月 7 日)
3×10145+4 = 3
(0
)1444
<146> = 2
2 × 17 × 9013 × 2364519613557813254323401319
<28> ×
20701415877547975301729632650916197640581673017792380353523170914375887271277598246601329109383767857250499251499<113>
3×10146+4 = 3
(0
)1454
<147> = 2
2 × 19 × 43 × 5768849533
<10> × 63825147979
<11> × 476842018697894202869712006910069
<33> × 522857867208037850780367547014151440669402360290252619167152191427337844246686361768927091
<90> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2454126546 for P33 x P90 /
June 7, 2022 2022 年 6 月 7 日)
3×10147+4 = 3
(0
)1464
<148> = 2
2 × 3613705299119663978491855118534225853091781365319633604583244628631
<67> × 207543210616180507116857405613734377514718027833920737715626659993846180979711271
<81> (Bob Backstrom / Msieve 1.54 snfs for P67 x P81 /
June 12, 2022 2022 年 6 月 12 日)
3×10148+4 = 3
(0
)1474
<149> = 2
2 × 13 × 31 × 811 × 11827 × 1472240827
<10> × 76424039301957087421538844807133
<32> × 17244552193095714080023901330316006090228047496360883944362583093714822535699358726557305168564421
<98> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:81043248 for P32 x P98 /
June 7, 2022 2022 年 6 月 7 日)
3×10149+4 = 3
(0
)1484
<150> = 2
2 × 29 × 383 × 7937 × 29567 × 66593 × 39596131931
<11> × 2352865115795956391748895209273450167699
<40> × 4637911703464682182358497067424882021175235602723704587916498264137342669242268501
<82> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2619457944 for P40 x P82 /
June 18, 2022 2022 年 6 月 18 日)
3×10150+4 = 3
(0
)1494
<151> = 2
2 × 7 × 232542940774092636675647752054747
<33> ×
460744397512985332312317374900360796743555088752666206770222963435292362473680062009432684941175204716793229540406869<117> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2406912662 for P33 x P117 /
June 7, 2022 2022 年 6 月 7 日)
3×10151+4 = 3
(0
)1504
<152> = 2
2 × 21612026654532659719066181
<26> ×
347029000097361791376047299284848203922503161115480189590544515435097900787738763948912117475196771151134808588520965684654221<126>
3×10152+4 = 3
(0
)1514
<153> = 2
2 × 94153 × 249763 × 388897 × 88072044469492849
<17> × 965575789615526113
<18> × 208941034525361121961
<21> × 461547304605819193322691124519133077365443081185605654918261012737865944556371371
<81>
3×10153+4 = 3
(0
)1524
<154> = 2
2 × 4229 × 27072319 ×
6550857003341786875078212816250471182367115579130890337058141247517736566549238639798470739730529294080810743163358818106159120793461154990451<142>
3×10154+4 = 3
(0
)1534
<155> = 2
2 × 13 × 46309 × 167641 × 363043 × 105412753 × 14239794607
<11> × 29531773501
<11> × 2910759523358287
<16> × 13937025866666409650666285401
<29> × 113828589730683653066503665046551102697202784269077763028707248903
<66>
3×10155+4 = 3
(0
)1544
<156> = 2
2 × 4019 × 141067 × 1159394311
<10> × 845431476112965861403
<21> × 157275011806515270756749
<24> × 858120984353519536957376949124483027121607738194953619249757361812061641151250110194545024761
<93>
3×10156+4 = 3
(0
)1554
<157> = 2
2 × 7 × 811183 × 5805422263
<10> × 3238339949455707933643312850274440022551506481712301925355588031
<64> × 7025676218596939611938791781592882927285653964969603907423000647498424223857
<76> (Bob Backstrom / Msieve 1.54 snfs for P64 x P76 /
June 13, 2022 2022 年 6 月 13 日)
3×10157+4 = 3
(0
)1564
<158> = 2
2 × 47
2 ×
3395201448619284744228157537347215934812132186509732910819375282933454051607062019013128112267994567677682209144409234947940244454504300588501584427342689<154>
3×10158+4 = 3
(0
)1574
<159> = 2
2 × 9187 × 6044893 × 8092324629843339037969
<22> ×
166888200812223163620281609968368339285455798480631691338741691091922775331416004722570608087133177618048610850989540817183319<126>
3×10159+4 = 3
(0
)1584
<160> = 2
2 × 307 × 9151 × 4573691 × 32518780959439
<14> × 40776176140793
<14> × 1008975224825236776126488513733061883131376543
<46> × 43628095659095375878310357778665831765564198332743183246848871523352878343
<74> (Eric Jeancolas / cado-nfs-3.0.0 for P46 x P74 /
June 19, 2022 2022 年 6 月 19 日)
3×10160+4 = 3
(0
)1594
<161> = 2
2 × 13 ×
576923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923076923077<159>
3×10161+4 = 3
(0
)1604
<162> = 2
2 × 17 × 23 × 70096972519590871
<17> × 3539842596224855665402401625542151
<34> × 15746984359296878929274135406923327
<35> × 49091228191121321968614849530526727985311943547152419408553214810803745833
<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3242137306 for P35 /
June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P34 x P74 /
June 13, 2022 2022 年 6 月 13 日)
3×10162+4 = 3
(0
)1614
<163> = 2
2 × 7 × 379 × 17440171447
<11> × 129484805731
<12> × 1384549200834847348411366473435020416455427974244237
<52> × 90416160440787205710606328959011140740497509326964772794977153063384745914730168305013
<86> (Eric Jeancolas / cado-nfs-3.0.0 for P52 x P86 /
June 21, 2022 2022 年 6 月 21 日)
3×10163+4 = 3
(0
)1624
<164> = 2
2 × 31 × 59 × 101891 × 90782753 × 52461765149467
<14> × 1870480778416647708041340267058451758412610607466134691
<55> × 4517646408021344862251389631814514055778972134168841453177138199363587335429599
<79> (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P79 /
June 21, 2022 2022 年 6 月 21 日)
3×10164+4 = 3
(0
)1634
<165> = 2
2 × 19 × 13441 × 15305837059717
<14> × 4610721436278629977
<19> ×
4161502033769042792611150355726567906917070317281129736068867082936463903284062578608414420277272525833650944210079469164555191<127>
3×10165+4 = 3
(0
)1644
<166> = 2
2 × 242773 × 17664599038181126653
<20> × 2746324358030533136204557283041058826599493634305389
<52> × 63680324169863020065712302803562541820470392044646393322550228327832501540988003642479461
<89> (Eric Jeancolas / cado-nfs-3.0.0 for P52 x P89 /
June 21, 2022 2022 年 6 月 21 日)
3×10166+4 = 3
(0
)1654
<167> = 2
2 × 13 × 199 × 797947 ×
3633212405475481876703546990801053524442043344254031878384053056829682911692501969379151175579475785280942816720261870285152709553725646197575401472792600009<157>
3×10167+4 = 3
(0
)1664
<168> = 2
2 × 43 × 160445501 × 1082477284753403888612959
<25> ×
10042607110721259864137175021942119672283470160041845650740263403892798020498995949709097527317688714597963084730316050122836074432673<134>
3×10168+4 = 3
(0
)1674
<169> = 2
2 × 7 × 937 × 1977405757
<10> × 107816501866423933452157567
<27> × 72609906707603133160969723177
<29> ×
7386636412918363403035802591099816640496277538590090662448634427020280287535828984695199738689735853<100> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1372913832 for P29 x P100 /
June 19, 2022 2022 年 6 月 19 日)
3×10169+4 = 3
(0
)1684
<170> = 2
2 × 83071 × 1248764147901330889351495025494833038042823505364117104576748557625226913568949299
<82> × 72298852317014256675099076005153083675768246312775588630899278296366022148946132869
<83> (Bob Backstrom / Msieve 1.54 snfs for P82 x P83 /
June 14, 2022 2022 年 6 月 14 日)
3×10170+4 = 3
(0
)1694
<171> = 2
2 × 607 × 7458229 × 17494153166971060010979600628387601593
<38> ×
946986818161721560518055284684204444992976134185062871730442032220252557322243550525945268347173624556094062463627682049819<123> (Bob Backstrom / Msieve 1.54 snfs for P38 x P123 /
June 14, 2022 2022 年 6 月 14 日)
3×10171+4 = 3
(0
)1704
<172> = 2
2 × 163 × 4003 × 61404249405539
<14> × 10587152379994331
<17> × 463184149136507559706115467615817
<33> × 13494773084001523591135038957306986479
<38> × 282872808906881338846557976258143047066863211721818757155302088207
<66> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2683589208 for P33 /
June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / Yafu 1.34 for P38 x P66 /
June 12, 2022 2022 年 6 月 12 日)
3×10172+4 = 3
(0
)1714
<173> = 2
2 × 13 × 229 × 2740410823
<10> × 319611474891587503781241601
<27> ×
2876367622039176066049827701032323688962718543745283672708910516555267835630401683068836483608724693209820669077173370388718793742231<133>
3×10173+4 = 3
(0
)1724
<174> = 2
2 × 67 × 486643097 × 3271248767
<10> × 377509782819461
<15> × 711068546267449
<15> × 46025949824183314717
<20> × 3832219633213278270854087
<25> × 14851471682126733245153616731820756179210199966940705645348802129988212456937187
<80>
3×10174+4 = 3
(0
)1734
<175> = 2
2 × 7 × 12245749050684528746025024124303777717317834091528337467
<56> ×
8749391866467158463802469301769516193854929182092140455375580485990689885932816083438971055000759555883500124804891829<118> (Bob Backstrom / Msieve 1.54 snfs for P56 x P118 /
June 13, 2022 2022 年 6 月 13 日)
3×10175+4 = 3
(0
)1744
<176> = 2
2 × 3686035823
<10> × 5299103897063
<13> × 58558688965534944731904166234561272046343
<41> × 6584086526080450245509880976251454822275190202248217
<52> × 995892364252393159718874355698287819992118653202260453482679
<60> (Bob Backstrom / Msieve 1.54 snfs for P41 x P52 x P60 /
June 14, 2022 2022 年 6 月 14 日)
3×10176+4 = 3
(0
)1754
<177> = 2
2 × 18793 × 32563 × 172706061121706083087
<21> × 145312947353538540150764911
<27> × 4909610239580987817203049965029563338653
<40> × 994676444719709781701420000842972853941878943113855908541317506665833193576990559
<81> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:994288435 for P27 /
June 14, 2022 2022 年 6 月 14 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2759523619 for P40 x P81 /
June 15, 2022 2022 年 6 月 15 日)
3×10177+4 = 3
(0
)1764
<178> = 2
2 × 17 × 29 × 6353 × 10493054467058132436424075697382463491258651637215200581067861475407
<68> ×
22820941704752576783378048264704889862131172897167999026241054992038691978535059498900708522111101485467<104> (ebina / Msieve 1.53 snfs for P68 x P104 /
June 14, 2022 2022 年 6 月 14 日)
3×10178+4 = 3
(0
)1774
<179> = 2
2 × 13 × 31 × 139 × 12692230933
<11> ×
10548809550197316780600576509612712648124237642856510618607965317958983333660580657993160413806803950226968549792686385107913270217817573566568007882834118537229741<164>
3×10179+4 = 3
(0
)1784
<180> = 2
2 × 1607 × 656399993 × 1134804230615752447448624252873029279
<37> × 8222878433861116338540055747652606205715341481322540654150007547
<64> × 7619597013914940211960480577156519977829192173724674276924378527427
<67> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:202199789 for P37 /
June 7, 2022 2022 年 6 月 7 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P64 x P67 /
June 17, 2022 2022 年 6 月 17 日)
3×10180+4 = 3
(0
)1794
<181> = 2
2 × 7
2 × 765169 × 650100882889
<12> × 715667937812449024854989187740740665062986706842993
<51> ×
42994757094913241286609583102052497622065817162188619594566958800619334622802229395665207726715985933829639273<110> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P51 x P110 /
June 14, 2022 2022 年 6 月 14 日)
3×10181+4 = 3
(0
)1804
<182> = 2
2 × 31925141459
<11> ×
234924565945366513215298577199015442583383166709494767159897645357524992008524838405164731207589290700909216604013419353663638217553684669485366930915562086624989447630939<171>
3×10182+4 = 3
(0
)1814
<183> = 2
2 × 19 × 71511493 × 4278011887
<10> ×
12902974239829521286035119003306507657796464728211740086268446791903885601098669623822863564365035331017478321783583946378993531501813716980827741440757236181223569<164>
3×10183+4 = 3
(0
)1824
<184> = 2
2 × 23 × 179 × 2707 × 6100094530588215439279
<22> ×
11032033589650311049578462142646052236051817950089751531397208046235165437483839071566435577058954546584403629250693406952808953475856261804159339107742401<155>
3×10184+4 = 3
(0
)1834
<185> = 2
2 × 13 × 39480560429026300140071127589
<29> × 2842407454840612104160373982829208596701625594010129953
<55> ×
5141007869911280410490062994836121185245674240847901127966629481101172340900856997343078928974113281<100> (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P100 /
July 18, 2022 2022 年 7 月 18 日)
3×10185+4 = 3
(0
)1844
<186> = 2
2 × 3895423728133798728246425933604025299540775819595302999
<55> × 24461427075286349580677034183281280555682464814570789003
<56> × 787090676439489142371346903263153066177591721065399508069568038820768653333
<75> (Bob Backstrom / Msieve 1.54 snfs for P55 x P56 x P75 /
June 20, 2022 2022 年 6 月 20 日)
3×10186+4 = 3
(0
)1854
<187> = 2
2 × 7 × 1093 × 178621 × 239792923 × 24253022533
<11> × 1110073951255685919906049470745237
<34> × 3605578782277241777681463643894275470807195943104068833553903
<61> × 23576612849539635953369169868270843575756825753807503591110216819
<65> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:83499810 for P34 /
June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P61 x P65 /
June 14, 2022 2022 年 6 月 14 日)
3×10187+4 = 3
(0
)1864
<188> = 2
2 × 151 × 3075593 × 16645356259296637
<17> × 11947602566448190673
<20> ×
81204779244069688808098611214828468827607869902705472115505335621748000784950866534298219123741851301560373163100258382561542330547866838350507<143>
3×10188+4 = 3
(0
)1874
<189> = 2
2 × 43 × 19501 × 1150600819
<10> × 4326333223
<10> × 22534359723075741103
<20> ×
797344599836826571300712996062000632336592429634321862571123024780968449125126745893215265837265536625713641607377048965210052280578960460477837<144>
3×10189+4 = 3
(0
)1884
<190> = 2
2 × 38501 × 6204614683
<10> × 13372951586869213
<17> × 13282532772657512393441656508018738995768489
<44> ×
17675278639343455685528620686191715768828568325726890697818857097919739179147037658807117721005649717653395404420171<116> (Bob Backstrom / GMP-ECM 7.0.4 B1=16000000, sigma=1:3457523470 for P44 x P116 /
July 12, 2022 2022 年 7 月 12 日)
3×10190+4 = 3
(0
)1894
<191> = 2
2 × 13 × 277 × 1039 × 5449 × 33049 × 1382696071963
<13> × 4181121031861
<13> × 15011858747592853
<17> ×
128260676346863872663545557223192920270095276682738149633824720769995008364783899324648622625043207267779835928916116010817162491129621<135>
3×10191+4 = 3
(0
)1904
<192> = 2
2 × 233 × 15001459246703224027055316381010652230832993537342478121451
<59> ×
21457140050419212766956658895158899693575256524941730088699192517160358563036301834521294287078928829621774607026938236438377004747<131> (Bob Backstrom / Msieve 1.54 snfs for P59 x P131 /
June 22, 2022 2022 年 6 月 22 日)
3×10192+4 = 3
(0
)1914
<193> = 2
2 × 7 × 421 × 808021673983
<12> ×
314961969364024609636615734360838849233997546714489575954711518955967562079545287638692899294423266848220478736298946845124801803219768504289786658592480796545151347709926182101<177>
3×10193+4 = 3
(0
)1924
<194> = 2
2 × 17 × 31 × 113 × 149 × 12435190193
<11> × 97088735084943447683382972193412423
<35> × 378454168921924694214638070952252521989485898243793819144313821907
<66> × 1849913269539112236966867824190142423738490290315943023505697330897451892663
<76> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3206597909 for P35 /
June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P66 x P76 /
February 10, 2023 2023 年 2 月 10 日)
3×10194+4 = 3
(0
)1934
<195> = 2
2 × 334099 × 887101 × 57005893840021329362772607
<26> × 22301426907294053661450459579545419
<35> ×
199049278547587254005617359847655199782976373421646995021185030637136119348466491270309164836045066969729212246045899507003<123> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2444179215 for P35 x P123 /
June 20, 2022 2022 年 6 月 20 日)
3×10195+4 = 3
(0
)1944
<196> = 2
2 × 127609 × 128033 × 19337429 × 19647857531
<11> ×
120821466777482676829791253738118460247893239880162416088973944247442002364065431920294705606982481223345629880499017656676324547771101029373119966551730685550768135167<168>
3×10196+4 = 3
(0
)1954
<197> = 2
2 × 13 × 2011 × 54414445717
<11> × 1914489958667874581116486963379680552457761
<43> × 913048276161303638623172513639059846851560044048813
<51> × 3016093475091402582507882347738032715910385440122635745176583402502416172663249605609647
<88> (Bob Backstrom / Msieve 1.54 snfs for P43 x P51 x P88 /
July 23, 2022 2022 年 7 月 23 日)
3×10197+4 = 3
(0
)1964
<198> = 2
2 × 33577094877914565112333782935220133489
<38> × 541979244893477323201905297011109491909
<39> × 34847180405655737683244614516904895242924589311458328520427
<59> × 118268161659602254733306707858699459435968398030694344530203863
<63> (Bob Backstrom / GMP-ECM 7.0.4 B1=20510000, sigma=1:3265304518 for P38 x P39 x P59 x P63 /
July 23, 2022 2022 年 7 月 23 日)
3×10198+4 = 3
(0
)1974
<199> = 2
2 × 7 × 1171 × 10986601099
<11> × 921048570213481331585191896405314667029939722750266335274634914075193393
<72> ×
9041915397039545820965795081890095192400061300665744859478619153660214334064030335902706110907318778324374324919<112> (Bob Backstrom / Msieve 1.54 snfs for P72 x P112 /
July 27, 2022 2022 年 7 月 27 日)
3×10199+4 = 3
(0
)1984
<200> = 2
2 × 283 × 305873 ×
86643040688299708767324954689444251782411968735632778790532235375778203242600779632563962000950092926971619286458978523142569887345216684367454799105460280236633465477063109138843381717618339<191>
3×10200+4 = 3
(0
)1994
<201> = 2
2 × 19 × 1483 × 8209 × 27361 × 347834008526971890391603
<24> ×
34070008972566840547155761063309368585848606414020693537481783658288135465629747204260527987617733312284575822603843225860397405774290433935927429007330072086896379<164>
3×10201+4 = 3
(0
)2004
<202> = 2
2 × 257 ×
2918287937743190661478599221789883268482490272373540856031128404669260700389105058365758754863813229571984435797665369649805447470817120622568093385214007782101167315175097276264591439688715953307393<199>
3×10202+4 = 3
(0
)2014
<203> = 2
2 × 13 × 61 × 44683 ×
211663392328059970391395809725221688476133357984122366953259840605047991287596110349326722737522238414314947620789172000748780416699744951256601816483944245153169367204631285333852012124417773979<195>
3×10203+4 = 3
(0
)2024
<204> = 2
2 × 47 × 157 × 99612157648509257
<17> ×
102035525570970123280242925178439878105508901619744328746301765656206048647338975816528998528143785745070392554540148803550599731100505732786453548549578182005753469321470471186568067<183>
3×10204+4 = 3
(0
)2034
<205> = 2
2 × 7 × 10243 × 126013669 × 10706493594913
<14> ×
7753024074268143550197817448068175626421355007033577111623558974014751451896569016026162028386190522032302154120634533777694451560944213420152724292880700469724335993984044851033<178>
3×10205+4 = 3
(0
)2044
<206> = 2
2 × 23 × 29 × 33143605902497
<14> × 122059643057170622719719561245868089845248439477996103688758831633
<66> ×
2779480154854076349209861887940108701489322294503007024636756228836545167242746775352721635126909629433054932856169279011203<124> (Bob Backstrom / Msieve 1.44 snfs for P66 x P124 /
October 13, 2023 2023 年 10 月 13 日)
3×10206+4 = 3
(0
)2054
<207> = 2
2 × 67 × 4507 × 9128704988371
<13> × 386607877194841
<15> × 1251243885653143
<16> ×
56244111886731953483894562091185287257764871586540076991620999090356186475995788525916373800934870660584058716777404394531774697374387293528909168833319769173<158>
3×10207+4 = 3
(0
)2064
<208> = 2
2 × 918511817 × 39014853388994431140063818377721688609231933701473373585466890141
<65> ×
20928906419119241670469512920948212541186977175395869390129445845626529791518755275264561874050978044206623954186159446883634949691533<134> (Bob Backstrom / Msieve 1.44 snfs for P65 x P134 /
April 28, 2024 2024 年 4 月 28 日)
3×10208+4 = 3
(0
)2074
<209> = 2
2 × 13 × 31 × 449263 × 3916453 × 641094262858282539976171
<24> × 277280042820374506153402761516341919648001
<42> × 73456668257784667951735277447826067145305909206665683
<53> × 810010999010531229030933615106741893627329321578030962053019180735082609921
<75> (Bob Backstrom / ECM and CADO-NFS, GMP-ECM 7.0.4 B1=63840000 for P42 x P53 x P75 /
August 12, 2024 2024 年 8 月 12 日)
3×10209+4 = 3
(0
)2084
<210> = 2
2 × 17 × 43 × 461 × 13229 × 34571869538405510068932127536929451747314004394463
<50> ×
486623501227610919095051156873075192376991928237603927834945391754305588287680244433429164287070234359209026415923097842770636605162206493653614721893<150> (Bob Backstrom / YAFU for P50 x P150 /
November 7, 2024 2024 年 11 月 7 日)
3×10210+4 = 3
(0
)2094
<211> = 2
2 × 7 × 14560480113645631838052934128674047779075523
<44> ×
[7358470071494838234777247631560746160448627801075114865241018363182901985757484416147660413537786583940602768863449882941704313149620442686016514206351050421887730941<166>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P44 /
January 31, 2024 2024 年 1 月 31 日)
Free to factor
3×10211+4 = 3
(0
)2104
<212> = 2
2 × 769 × 1366957 × 6301363 × 1379133000503
<13> ×
820992937471854157328856609775547547310878058513394253746605197563581084836284071943356248350579230328403067847302817391856108531852122824219947872348020095380567773432948167050783473<183>
3×10212+4 = 3
(0
)2114
<213> = 2
2 × 109 × 31818421 × 919863391 × 184463633514253213683325963303756419940684657
<45> ×
[127444778726335370922623219005998213608124996703420579543756859109933836336670749573607905569892940430918826376438213313877642397121815875710873349407<150>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1970453634 for P45 /
June 7, 2022 2022 年 6 月 7 日)
Free to factor
3×10213+4 = 3
(0
)2124
<214> = 2
2 × 877 × 11730062744269577951983820477776635227791
<41> ×
[72905674934167451951421674306353307422400132126560292721133894633495226165648005962177326183845157241633627561707782594154428146419075308975075437673933161334079622544843<170>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:250006706 for P41 /
June 7, 2022 2022 年 6 月 7 日)
Free to factor
3×10214+4 = 3
(0
)2134
<215> = 2
2 × 13
2 × 2062999 ×
[21511740056515815570398802793076297888392394422767605766650436010990158691561432835739728837518101519758256457521049431250961234177975362122250295170472953474227907151119351490677969191121086082666846325071<206>]
Free to factor
3×10215+4 = 3
(0
)2144
<216> = 2
2 × 111274898209
<12> × 10285393610894872618024355269558171739
<38> ×
65530448657862543111040454579057581680770652578586090544263003566187563927220337418477433806498558874378100682187945566243458755564127993380090348386935975562438312051<167> (Dmitry Domanov / for P38 x P167 /
January 27, 2024 2024 年 1 月 27 日)
3×10216+4 = 3
(0
)2154
<217> = 2
2 × 7 × 185533009 × 1774968571
<10> × 3797782505333573893
<19> ×
85668522779981541333815298823689915756790314920852504986500960349013778638384426074014256999080950693486810517926568896212606103687194823614813489933450143075453363684036971911009<179>
3×10217+4 = 3
(0
)2164
<218> = 2
2 × 649073994943660853278089433091288420907493
<42> ×
11554922949348778792784222437195673759335058071136322528091032695589641446156130263794880715433061523188201254873793803191937167291439947354785601792017851336086744991885925357<176> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P42 x P176 /
January 31, 2024 2024 年 1 月 31 日)
3×10218+4 = 3
(0
)2174
<219> = 2
2 × 19 × 97 × 15091 × 13478846031639907
<17> ×
[200062272050104875582449033973957035477360315601709022672621302686250151664375601865697690772290785207875885046791735023183040891490620421703639608524359804493969851947772959489614095232587499411<195>]
Free to factor
3×10219+4 = 3
(0
)2184
<220> = 2
2 ×
750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<219>
3×10220+4 = 3
(0
)2194
<221> = 2
2 × 13 × 2350370461
<10> ×
245460486547136248695785101139882357922861538601968042295321833915388423134595834644927033516238135245640718200348024592994969177721927183068406966727564282078902061611246961241027559409527876583079248000758857<210>
3×10221+4 = 3
(0
)2204
<222> = 2
2 × 59 × 20895289 ×
60836030584595700097515533488782477983109989001973164738598596010998833115453415912334293572755051247862535190814817766428806358201650953435128002914023152884049118942957648313511549932521445465287187664037005451<212>
3×10222+4 = 3
(0
)2214
<223> = 2
2 × 7
2 × 179384341 × 68429684623
<11> × 732330335089
<12> ×
[1702664539444640652875850183921329799124755346764197206229577502076028000049415258262992153906084184205037726950243586365520133158905645681824176383872712152034075508220793316969216065507987<190>]
Free to factor
3×10223+4 = 3
(0
)2224
<224> = 2
2 × 31 × 65099 ×
3716423967664138342147865112639855227943147632712261077297158818652880550665016904773820914943938983255775694488146837397531997171553599009746445735998124940227514520068441663788502771708995083914375573877801006804029<217>
3×10224+4 = 3
(0
)2234
<225> = 2
2 × 139 × 335539 × 4751713 × 270226711 × 1212006335079224300682725023
<28> ×
[1033284917868646046311445216885638640356782149948953463945569786249991724756345268386485661154669477005914003075194306668116383446652986416647498069493756023531695034967895529<175>]
Free to factor
3×10225+4 = 3
(0
)2244
<226> = 2
2 × 17 × 3011 × 1052323703
<10> × 11946446791497802289924474587
<29> ×
1165503227839062112562986065367349926074334107271856444772719958757961363923401969508374002796993370974950268432999066695196213380316042998344981704563298086603257899654222493529736743<184>
3×10226+4 = 3
(0
)2254
<227> = 2
2 × 13 × 3162703 × 5038903 × 19406655252293495581800866796705716131
<38> × 3321019369513434591269638760198939869237
<40> ×
561696092735433499052479402713343674733501713399223545842250987969600347544743396266665534647313255075874809149782580694853695233287699<135> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:948974330 for P38 x P40 x P135 /
September 7, 2022 2022 年 9 月 7 日)
3×10227+4 = 3
(0
)2264
<228> = 2
2 × 23 × 89393 × 217760761 ×
[167513683868190920371526245694868177543464745222084884936536809089983767669362989786161457458746747880165561261381753830189153855583939704817784654149048270417871705176516637987046183293733508074740293198388659919<213>]
Free to factor
3×10228+4 = 3
(0
)2274
<229> = 2
2 × 7 × 878011886023
<12> × 5181324871441
<13> ×
[23551686112799718428815173998324623453064212134653645257424752775382713741267047108296813615553331851471977331150257418625727587339531732037805314713739870871198749755407922079475809000493966894517616001<203>]
Free to factor
3×10229+4 = 3
(0
)2284
<230> = 2
2 × 523 × 655367671471
<12> × 124579970928464397543513515158709
<33> ×
[175641175496118817455730436298223193536981204516120088142360916486629764601925158657797316851814299956471595544169024429268923811233106665918552208879992910561399506914607956951685433<183>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1795078166 for P33 /
June 7, 2022 2022 年 6 月 7 日)
Free to factor
3×10230+4 = 3
(0
)2294
<231> = 2
2 × 43 × 601 × 48805123 × 59469272263
<11> × 268537092349
<12> × 256063802214307951
<18> × 36790681284244299604942232077327
<32> ×
395248288472166748918886637437154959431309449237673878376469084420320394388693891242946758430202086891595670511252319662100551775545224118754485691<147> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1185251490 for P32 x P147 /
June 20, 2022 2022 年 6 月 20 日)
3×10231+4 = 3
(0
)2304
<232> = 2
2 × 45392663 × 354855943734283
<15> ×
46561130639978150985324804494144376210222578320406530531596000533469631315904837288406197785902741200799118105695843609068420443383167759424686407255225035869912924766521542507133941628065101148488066682480469<209>
3×10232+4 = 3
(0
)2314
<233> = 2
2 × 13 × 223 × 60515987348901617453989
<23> × 23041020834420217561504215372476077399
<38> ×
1855415618124206774673252034899877329365463696930956220165831990027688069558485681959697699447880432065781380464116833144272852186601100123656977995986659948347794979609<169> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:544132267 for P38 x P169 /
September 7, 2022 2022 年 9 月 7 日)
3×10233+4 = 3
(0
)2324
<234> = 2
2 × 29 × 22380195255373
<14> × 6261430977294640288502359
<25> ×
[18455499196885969992608418360736267685830866727870622018690711225605661190079964825995625260496937885829015097877283150721737277143478277258266958315972841475100438976667021281780016689845511967<194>]
Free to factor
3×10234+4 = 3
(0
)2334
<235> = 2
2 × 7 × 6091 × 705169 × 189976203563930266422829280348008483543
<39> ×
[131305285189094188647423048942539363845651351958569205531702405249382888536157360692548948696078949475142333413358983071793926855279255394885107545769131618865495016920795555085090288019<186>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P39 /
January 31, 2024 2024 年 1 月 31 日)
Free to factor
3×10235+4 = 3
(0
)2344
<236> = 2
2 × 131 × 192263 × 195021197531
<12> × 12872132502025237267703
<23> ×
[118621096064921842563161550967177989669596360558185434623532347674065704172119088380737576236949699869788581218347673367878742461809111698364624732788708677016644176542031468203608286648743256369<195>]
Free to factor
3×10236+4 = 3
(0
)2354
<237> = 2
2 × 19 × 338011452061
<12> ×
[11678209116832706670602904052333275476580712469414225995849101098816724150279820246698512877305586485090424697672233053496144156334986033302201343509314409556050781274858472531472726915029449093383920473416391536205048649239<224>]
Free to factor
3×10237+4 = 3
(0
)2364
<238> = 2
2 × 821 × 1019 × 2297 × 198255523 × 27974163953
<11> × 4114951455254501
<16> ×
17101562830339991522927487879889929649484849705364794355932947495085949537405109707149029338039270708759769384948840427098407383394764020743458122738469450679443790486275070700921687234922600993<194>
3×10238+4 = 3
(0
)2374
<239> = 2
2 × 13 × 31 × 349 × 134023725443917
<15> × 190733750766931
<15> ×
2086034829009565055840822612802475503818482118830953824512801538868075453429489129105480167784093938015765375085098087120811791494383106859824051119293063040154540753980992658115937136584911145681709133729<205>
3×10239+4 = 3
(0
)2384
<240> = 2
2 × 67 × 432807637 ×
[2586375307131253013614549022028407782931485274662252948281018998692297573725748806196947125013519057011008761554331966817031444952936723256075711591165087601702935699629077906207618202614206160703158108559403896625016511993273919<229>]
Free to factor
3×10240+4 = 3
(0
)2394
<241> = 2
2 × 7 ×
[107142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<240>]
Free to factor
3×10241+4 = 3
(0
)2404
<242> = 2
2 × 17 × 91159 × 86214851 × 49862419131898127
<17> ×
1125789937855725628282988655924657480371639713297568462458539270224960285227882136726343840935728764312403997685885566490437836258236273013736598027276080070336108743642592634113090599980722818848483863247790771<211>
3×10242+4 = 3
(0
)2414
<243> = 2
2 × 3967 × 5413 × 55339 × 3674761 × 142870385651087839
<18> × 77052114730318108235065722241
<29> ×
[1560176925711502708700225914966825869560803339700294640085027422434763348838345729055941133247146257982324157544144216194284546428181025649124975483377906064759134202656786062511<178>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:78816902 for P29 /
June 20, 2022 2022 年 6 月 20 日)
Free to factor
3×10243+4 = 3
(0
)2424
<244> = 2
2 × 113712394203319237691
<21> ×
[6595587097207629445134619771227609536044642713961338779420326306052995916899180850324222045749331453400140375391220493370902677448960829199730221553435923360305563882227065087027282383460965323404614840756834561286740999411<223>]
Free to factor
3×10244+4 = 3
(0
)2434
<245> = 2
2 × 13 × 643 × 1597 ×
561826243922631881781570496121788348367928470979389741337444602995972155292069867513131564799203674972880647205854559066403592152201276424280092705824857185641549013384424064051787495141139367142438609059051159373400433864698606813244387<237>
3×10245+4 = 3
(0
)2444
<246> = 2
2 × 308437 × 2817877 × 58264563623466130076508802003
<29> × 25297118133366790516388667038572823
<35> × 149761016467730471866444813894378662279887
<42> × 23552412095116877281564274504507167725395551
<44> × 16598278344067662364216783622416999368032483196503730672608067950707354023251700394933
<86> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:4070225085 for P35 /
September 7, 2022 2022 年 9 月 7 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P44 /
February 3, 2024 2024 年 2 月 3 日) (Bob Backstrom / for P42 x P86 /
February 9, 2024 2024 年 2 月 9 日)
3×10246+4 = 3
(0
)2454
<247> = 2
2 × 7 × 246639390539351779
<18> × 10285998320824416031
<20> × 77592281704977116743911796221505321813
<38> ×
[544296839637958452364543023360276376414613108071657542417049811945038285108933647741168911166475476038331592957769857253950344588925362582827817207467396076891991965072439<171>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:235550671 for P38 /
September 7, 2022 2022 年 9 月 7 日)
Free to factor
3×10247+4 = 3
(0
)2464
<248> = 2
2 × 353239343459
<12> × 13399706013833198468211732544859
<32> ×
[1584517077757823794187585193685611922216446260237706748732026356021828890286296194397966123643914008050099663827710978504240403603646958158623091880135439140409697333767516859557962822692014978456047879121<205>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:694203616 for P32 /
June 7, 2022 2022 年 6 月 7 日)
Free to factor
3×10248+4 = 3
(0
)2474
<249> = 2
2 × 3023727829
<10> ×
[24803819735589039353316743244485977180190181726835573599504679493426721377044944345088408418388770267854686599836826782070801253984159432095500285849305519620562383625831291709158655231598227288729960622391718576864015759270243499154566269<239>]
Free to factor
3×10249+4 = 3
(0
)2484
<250> = 2
2 × 23 × 47 × 409 ×
1696337494260724811084547722497280205550868637886227775151596027403766773950589081467173607702729293939099222172714298315649957365384310913783081408367241235024167154834901126141917856553177918661748041861085791703326404737078997306216059113969<244>
3×10250+4 = 3
(0
)2494
<251> = 2
2 × 13 × 1789 × 1397623243
<10> × 5879246977
<10> ×
39246031805118132433933623797861651223852629495500526336166115153374551245646209739767426091413389506048796824131182622670140618201543226506417245864841356624696884413043773216979398585057582481643576426109902195096125231921563<227>
3×10251+4 = 3
(0
)2504
<252> = 2
2 × 43 × 4289531 × 1089991328189
<13> × 56082305548582387709
<20> ×
[6651722075001066957600892200880128799599867288496836225981505179133303786467901322611791867433254671137133328139014765473778425307864635687626384270162610663579222440753885412924672759567495680263673608574188497<211>]
Free to factor
3×10252+4 = 3
(0
)2514
<253> = 2
2 × 7 × 163 × 81463 × 360627934372717985767
<21> × 142805931914944362261640988294212639213
<39> ×
[156678572993665982366973384606570110279125595154164082623937674522540597405336215278723294031281527576579857454345462441872211212415276370058732672441250277899392669060083792148508099857<186>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P39 /
January 31, 2024 2024 年 1 月 31 日)
Free to factor
3×10253+4 = 3
(0
)2524
<254> = 2
2 × 31 × 751 × 49109 × 3263575196699
<13> × 115265827240999
<15> ×
[17438308100654892998126795510451297698025531017168865519169908890061199158106968497653932500258036569440316071246853265808692560395064329931959545339526234988317473609150075430106292387429107595247567012561259278870769<218>]
Free to factor
3×10254+4 = 3
(0
)2534
<255> = 2
2 × 19 × 6577 × 32413 × 304687 × 3728821 × 405829108068305034469
<21> × 2272230326448154734665953995795187741
<37> ×
[17674192687271158362516771540132707169627278099737105262632332380133667548544267255379289357391494588844037790477728253786422191264088874304406186090103674654033039802332639413<176>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:291692161 for P37 /
September 7, 2022 2022 年 9 月 7 日)
Free to factor
3×10255+4 = 3
(0
)2544
<256> = 2
2 × 631 × 2793067 × 10775057 × 1829467999
<10> ×
[21587689207098012092178963364686947889216867740478010376394853129682339809119739400352952180628832873562442691847256076693687047826495902768526988465755223947306814747283254843006380084035853112251591155559213131955492105012476891<230>]
Free to factor
3×10256+4 = 3
(0
)2554
<257> = 2
2 × 13 × 6070969831
<10> ×
[95029804624815129159043761507876437852277490081152228851674403407701092078927690016892940655583876664973155765452044942484070643856091486987480481341083594503028436631194473658869855273882503844207140966613860130204141830313260055619452298852467<245>]
Free to factor
3×10257+4 = 3
(0
)2564
<258> = 2
2 × 17
2 × 33096917163581
<14> × 12558664324626461
<17> ×
624356194849514971867619735353828443200213293242947548536431062958999930869092486981352115652856453540857463538933374583043893598047985862980732755301036408169277127239875127065302878830254388222789667293163383496490192155449<225>
3×10258+4 = 3
(0
)2574
<259> = 2
2 × 7 × 4003 × 17548501 × 3690466327
<10> × 219442525924434318043
<21> ×
[1883369650963598913523665486412620183288615357965536737620688819068529018567274371739262169591904766796446861144248651424385621321405353038696685946248573560242846891292876082553302995243404913613682679551338370280621<217>]
Free to factor
3×10259+4 = 3
(0
)2584
<260> = 2
2 × 277 × 8763977 × 733678441 × 470091378246277
<15> × 1407647928524340637
<19> ×
6363531173838209172993315470538095742362500188809701150044225584119601446481659935879529292214582938057407864960989613771707178789650462223903549443743673005582015355581279396799076526900388495991684338282941<208>
3×10260+4 = 3
(0
)2594
<261> = 2
2 × 27898649707
<11> × 681964377603748152883
<21> × 20116312962791787042371491097899
<32> ×
195960259520478535133414142891115737012948580517255808217935251555677994683894961601187578412574255215268407692626384784399137571495570043962760240318768178281072694774508611550416017040037341112979<198> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3073910352 for P32 x P198 /
June 21, 2022 2022 年 6 月 21 日)
3×10261+4 = 3
(0
)2604
<262> = 2
2 × 29 × 5139383 × 11377454069
<11> ×
[442290071981467202265612566191896475576592406199823007691569843937171319563076494611068829352773332557411952644974401585429531983403963881709150403044792814954033924273460981240891253554649158976816233923859604124617546334356355335286648207047<243>]
Free to factor
3×10262+4 = 3
(0
)2614
<263> = 2
2 × 13 × 61 × 151 ×
62634141452945057331117476595709143749530243939102912070016618925532181421878523170456728159474875358058508639335911076221574538803938434814561185204980666928338190958970461738890791110962644998037463567807721536958319066667780162514719023241442088472812607<257>
3×10263+4 = 3
(0
)2624
<264> = 2
2 × 269 ×
[278810408921933085501858736059479553903345724907063197026022304832713754646840148698884758364312267657992565055762081784386617100371747211895910780669144981412639405204460966542750929368029739776951672862453531598513011152416356877323420074349442379182156133829<261>]
Free to factor
3×10264+4 = 3
(0
)2634
<265> = 2
2 × 7
2 × 134922835561
<12> × 35877161445457
<14> × 94541561145774362593
<20> ×
33445591356821737795458950369404219240377901656823670781011353665824250462495440627312735662353350112244232924927688348691035122060575064190655386159804922148617046030810001575781826998903651585419610148527700486188409<218>
3×10265+4 = 3
(0
)2644
<266> = 2
2 × 199 ×
37688442211055276381909547738693467336683417085427135678391959798994974874371859296482412060301507537688442211055276381909547738693467336683417085427135678391959798994974874371859296482412060301507537688442211055276381909547738693467336683417085427135678391959799<263>
3×10266+4 = 3
(0
)2654
<267> = 2
2 × 21273121 × 116313157867
<12> ×
30311065721278778575095519395510261710256858533119859863399313410975726139195444008953354504374299353777914677043155400559584257832240250032471506281184966740787818162766539803188243045106218112991148627561529066344479695896026497879558470204915043<248>
3×10267+4 = 3
(0
)2664
<268> = 2
2 × 439 × 2719 × 7744670279773333061
<19> × 16011335106723434062969932333163026752401
<41> ×
[5067071768279689113955250039506989663400853148066069845408801100453863654114639058271124306116162398816177757642959747458524220060566545229729761965943140206342376369518728624793009164130015568094992501<202>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P41 /
August 18, 2023 2023 年 8 月 18 日)
Free to factor
3×10268+4 = 3
(0
)2674
<269> = 2
2 × 13 × 31 × 202357 × 4901851 × 27377443 × 6090697387632620311453
<22> × 13945757429499045433903
<23> × 110575559650495445458076234569
<30> × 43271450404186326472433249158010046432656420197
<47> ×
1686224005488925919078591789432463201418597435271346724855816905336927864668317295812297655709028416113326667854255525516158841<127> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2659091033 for P23 x P30 /
June 21, 2022 2022 年 6 月 21 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1383161736 for P47 x P127 /
June 22, 2022 2022 年 6 月 22 日)
3×10269+4 = 3
(0
)2684
<270> = 2
2 × 48187 × 407856648478244884043477002855525817
<36> ×
[3816135863088463277521301781491058113328293223601568798493039219657963591438024300386658723392905225280555013232263783271713548338736429184170714960257307017809563954327002438260977703034930690906563057254919769232646346787255819<229>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1426973634 for P36 /
June 7, 2022 2022 年 6 月 7 日)
Free to factor
3×10270+4 = 3
(0
)2694
<271> = 2
2 × 7 × 139 × 1169374459075729
<16> ×
[659166031811834362360556154429406007596040611303434916119170324948033245567995169704488635260784610595531400664740419420269329496892488736407950434268567262481435290380113431002821960829068650848939450940761391734642965642834787441781565516611374073653<252>]
Free to factor
3×10271+4 = 3
(0
)2704
<272> = 2
2 × 23 × 99228049442083244315121631
<26> ×
[3286237695441825208547755733649208047286283926720193283944251107442278281175197668020181419361514473998518365255239471483350830685563567998563919353801567452352580831561574809834689314346945433564780762850336935038629429274496250306423846795577<244>]
Free to factor
3×10272+4 = 3
(0
)2714
<273> = 2
2 × 19 × 43 × 67 × 19105624302703
<14> × 217301469144542261471691355941159117499
<39> ×
[330020188635207939864950848905427657757608698993540159601075223771854331989735768168921778390159742613317252501401118483265393031518348013490465384087053979093028212998616567130574179398245248030735117530470830025647<216>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:913587550 for P39 /
June 7, 2022 2022 年 6 月 7 日)
Free to factor
3×10273+4 = 3
(0
)2724
<274> = 2
2 × 17 × 389 × 29153 × 787707134093513
<15> × 227613258630306801341
<21> ×
[21697872497967412881069554924374354873545105681953274736863513027408271052089679556547351945783033067530047660184152325009929789449437278328103619481939569456640279018417191024993043168200448747714032567387481375994498628199210073<230>]
Free to factor
3×10274+4 = 3
(0
)2734
<275> = 2
2 × 13 × 253848841 × 578155717 × 4482471673
<10> × 11631523776259
<14> × 1347034624949107
<16> × 114088829013917539
<18> × 510452184737236335457
<21> ×
[961096036969443678780627777203399934805799370786909331674982340021673106815634990919431461936170905158502705386037503494771260580156719595149625271264942064755639225042811172512483<180>]
Free to factor
3×10275+4 = 3
(0
)2744
<276> = 2
2 × 4937 × 2148765581
<10> × 2194980728579
<13> × 5909633471388659
<16> ×
[545026777479065341679023970353946880652050604902100253484580107031927568446837103372371027144152758827313481737657045498530963495272471326547329887787030757739022020360983771334847874075565040971275975431235252147343922154864408206053<234>]
Free to factor
3×10276+4 = 3
(0
)2754
<277> = 2
2 × 7 × 287047 × 202252345729747
<15> × 2787336601239867587307201697
<28> ×
[662105546680506526584453813918349602681427402629712951210717408194709031766963523743063048893150512597407575895099220804271377345874511854684478970561605641802575058298514734540773040999488609425044879147269588331942892610997291<228>]
Free to factor
3×10277+4 = 3
(0
)2764
<278> = 2
2 × 167 × 1367919719189
<13> × 1902541885325241623366782381729
<31> ×
17256390316062547281981029693301784672885609685402469799643558101689298238042874395833620519238736391861112284846089559895452165173345982141028495556265117917273396840218561240766629085153114952273557324675016698457383133748283134363<233> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2198305174 for P31 x P233 /
June 7, 2022 2022 年 6 月 7 日)
3×10278+4 = 3
(0
)2774
<279> = 2
2 × 8709876367
<10> × 83186802884513283421
<20> × 7535442642823884919255636773727
<31> × 293141417578637337286641813410797036808650351
<45> ×
46860712477964550533628910421036673354089607120888691642084577527360293185020445468793331651687795247952461868311637252891392368018729232621948496094655067446336263758575659<173> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P31 /
August 19, 2023 2023 年 8 月 19 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P45 x P173 /
January 31, 2024 2024 年 1 月 31 日)
3×10279+4 = 3
(0
)2784
<280> = 2
2 × 59 × 8311 × 203730051299
<12> × 444188981682310504249
<21> ×
16901805256409666834048989833468276704386152937389702914029826135950618967805841118703798643761954091398718337036642748867420185097734449928169983316932421682352422504117955022615940652410121793908347499251163896055259580015462076294931611599<242>
3×10280+4 = 3
(0
)2794
<281> = 2
2 × 13 × 13174957 ×
[43789370767819350232180877472547115188074092152488765092510212892768980048809501004297541394398712415006509932208740941095817092755830392697063305551819024766222999962965869495962914863636892558884486448272804463568501735761029282822181273386844683965425991377195620215161<272>]
Free to factor
3×10281+4 = 3
(0
)2804
<282> = 2
2 × 157 × 997 × 47653 × 74719 × 14532989 × 6253566821
<10> × 3026444644319500642571
<22> ×
489248700174647850989376069819765441357509153582910557746616950560489350551737393122769996547175467763951805516786721336408224493644239858476785745880706143601111856286855518248531459765108126028660770610828063884962578894679033<228>
3×10282+4 = 3
(0
)2814
<283> = 2
2 × 7 × 571 × 1123 × 105751 × 521659 × 61279321 × 141555763 × 276054524571247
<15> × 9430610838475346959063
<22> ×
[134121986941140499685192623705454048304430652884118682797962863543262491019391992234019523316382336604967374796371541304129174069623485535358261168380046521461080588989183286692615709199774329059331846775335359873<213>]
Free to factor
3×10283+4 = 3
(0
)2824
<284> = 2
2 × 31 × 503290847 × 1499720839
<10> × 48056119402877219
<17> ×
[6669932105007103238313228711712402931445671509061532469789008910869091682863581188918013524048753726862706422999734429451105813552838843735642203868003482228030545312002052636325198919395723421967780815165950036081797456673580829314347039072369373<247>]
Free to factor
3×10284+4 = 3
(0
)2834
<285> = 2
2 × 433 × 85566510935607307
<17> × 187456559893251637
<18> × 1288048036779241148840471770420178753023
<40> ×
[8383721455341209473213730165399584108251863924421031007373795775527771591224831783489235197509919485365933764070891837426753487291194746439462968488604139637297828341183336339027119729402094614039626196767321<208>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P40 /
January 31, 2024 2024 年 1 月 31 日)
Free to factor
3×10285+4 = 3
(0
)2844
<286> = 2
2 × 1847 × 81737 × 977923 × 581239108727825083
<18> × 9520705414162054421601605672759345293
<37> ×
[918009251510141779305124820247401790279342266933447924942542234955036726748379301401357942754481916970631255711391462010682420075806984870920121407296080427928938462002213420915337492006514867426340984962184669589307<216>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1913395856 for P37 /
September 2, 2022 2022 年 9 月 2 日)
Free to factor
3×10286+4 = 3
(0
)2854
<287> = 2
2 × 13 × 26029 ×
[22164627028432783552073574740599981677241656495565596952511547770681813480230630332439852590453842903034189676012258516388525224823200158403201163199626452152480812821202386687038421642132887282528067806027005381571442503479846443463947017675551234274197123326940069803798721544313<281>]
Free to factor
3×10287+4 = 3
(0
)2864
<288> = 2
2 × 15307 × 609233527433
<12> ×
8042431780498867298902891942936303274096971207669527906545251014184445290603652048770756181667310539582406958617778738017786335546849436663760679155623036644715773290090955696326318491844341256797836719705111076898792840211414518503700704543932217203013038941291536360971<271>
3×10288+4 = 3
(0
)2874
<289> = 2
2 × 7 × 181 × 186417469918314301
<18> ×
[3175397065717584384227730984327753446915634546442960404735968748804871693325304992293682066418105879173933667306322371810978917673231553183210150414538844589682737037512804361577127066873954163098046520309072199127216873228051436088064998838012746749026875147425855703<268>]
Free to factor
3×10289+4 = 3
(0
)2884
<290> = 2
2 × 17 × 29
2 × 1678566367777010903
<19> ×
[312520009613076798072342016747407305168882310933085100727514562877661506401725741398941851660450586113083957725561212161083329350270464545572665625890855238609795115679044591325920716236716726552419872890212599709433910866859798133227709431729088591256339398383006911<267>]
Free to factor
3×10290+4 = 3
(0
)2894
<291> = 2
2 × 19 × 1069 × 53716357 × 3366917233
<10> × 702336207117522945926105203443170041
<36> ×
[29070058605511398623042895607219693217057159855776394754162192649664055011881888803527337395693018186971383481555974646882719600458198308728911100324724532905230775713975470082817687806865348296090988075636953283145039590330368059971<233>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1641652521 for P36 /
June 7, 2022 2022 年 6 月 7 日)
Free to factor
3×10291+4 = 3
(0
)2904
<292> = 2
2 ×
[750000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<291>]
Free to factor
3×10292+4 = 3
(0
)2914
<293> = 2
2 × 13
2 × 487 × 82393 × 182988073 ×
[6044111920007962938102566071970889961009081679308648259356369188379855522551384321992977113932791385882523812741592807837057428931622291386052372490067689727725371120791000494780083536202438567599099683205844326137019232984041671181454147410593869929884229531276409495863103<274>]
Free to factor
3×10293+4 = 3
(0
)2924
<294> = 2
2 × 23 × 43 × 509 × 1367 ×
[108987997946671931377924635342906692786856196252577894931899263637414241031843027719599056057565495825122462147803486333363533665368805132913864298843218682556364992301153217845862770622230514158276965552150410435649048747595156211240462055227627704154439527207914210844347356450407503<285>]
Free to factor
3×10294+4 = 3
(0
)2934
<295> = 2
2 × 7 × 191366527835779
<15> × 61421284242635860500075241687
<29> ×
9115455044051435939223136017212486104181804056925660096743390672966392784368883799140447782635780450284754470204941319895815625306343345394540005414289390958691117258957762460857706077215878846775480487469155392577087824991806577116845890261796138891<250>
3×10295+4 = 3
(0
)2944
<296> = 2
2 × 47 × 743 × 991 × 168861930462024637
<18> × 94724033661943928663
<20> ×
13549054941408337935484000024088200116094000191219405731274978361533972001979097073911633986648650338081174527154422106036412832486321317358630967260087340603731502648366996136156524471734626822658511045594089329581629173137183493759376739751344860261<251>
3×10296+4 = 3
(0
)2954
<297> = 2
2 × 474846632563
<12> × 2507164223698987
<16> × 360013564760222222953513
<24> ×
[174987188853810142008201770642463000981063977612083141188402759435379681584816945599120084544083227248600855408522829620003993182358720496812720604733075444461318465052250792564115317149726162468952262564448011410091248889014321880745784721619017<246>]
Free to factor
3×10297+4 = 3
(0
)2964
<298> = 2
2 × 4072475076559
<13> × 23931071442491
<14> × 973453785852679
<15> ×
[7905427251817975541104492980874621454796522820669416352682180254664460294367392767120663078187762055236430369721602373723439337859615929863075727661987662453626921804457545957980735809162522510294994531736498717473917738573764967009068640458969059642549051<256>]
Free to factor
3×10298+4 = 3
(0
)2974
<299> = 2
2 × 13 × 31 × 74739913 × 8227007881861
<13> × 530944699233586295722491481
<27> × 1751317209459525458706890434806148987
<37> ×
32549746549027594864025618737053223196031297050286246475660919742646877934778262892405292582015283167721955860350869778223392940592865418512164362323373889717530126488426524725336263825514815266815053904993724877<212> (Dmitry Domanov / for P37 x P212 /
January 27, 2024 2024 年 1 月 27 日)
3×10299+4 = 3
(0
)2984
<300> = 2
2 × 2265790433405174653
<19> × 38127726564854815744681349
<26> ×
[868161683315983045679357522470261183890078010213844477685585430853512747218776292870274753255306190529472529545393685417628559908104673904284824768860349519778931051825830204019164896831887322744358967835553566713845175044610101226711109256694083273609233<255>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:611881271 for P26 /
June 23, 2022 2022 年 6 月 23 日)
Free to factor
3×10300+4 = 3
(0
)2994
<301> = 2
2 × 7 × 499 × 1297 × 205213 × 82672635151
<11> × 43664514436441
<14> × 52208661636906703
<17> × 37000315818911104456249
<23> ×
[115685632454117595038415019679660338457421377001869123456104459836679420012643515279938023872852486737353507103948471849320592466972601252009884718256375645703588710489289032684442137632403612495391104245587560882092704278481<225>]
Free to factor