29w8 = { 28, 298, 2998, 29998, 299998, 2999998, 29999998, 299999998, 2999999998, 29999999998, … }
3×107-2 = 29999998 = 2 × 7 × 2142857
3×108-2 = 299999998 = 2 × 1291 × 116189
3×109-2 = 2999999998
<10> = 2 × 36017 × 41647
3×1010-2 = 29999999998
<11> = 2 × 23 × 67 × 9733939
3×1011-2 = 299999999998
<12> = 2 × 43 × 241 × 643 × 22511
3×1012-2 = 2999999999998
<13> = 2 × 19 × 29 × 47 × 57921767
3×1013-2 = 29999999999998
<14> = 2 × 7 × 2142857142857
<13>
3×1014-2 = 299999999999998
<15> = 2 × 163 × 920245398773
<12>
3×1015-2 = 2999999999999998
<16> = 2 × 17 × 1031 × 3583 × 23885639
3×1016-2 = 29999999999999998
<17> = 2 × 14999999999999999
<17>
3×1017-2 = 299999999999999998
<18> = 2 × 53 × 912469 × 3101682007
<10>
3×1018-2 = 2999999999999999998
<19> = 2 × 3167 × 57193 × 8281334329
<10>
3×1019-2 = 29999999999999999998
<20> = 2 × 7 × 2237 × 345109 × 2775689929
<10>
3×1020-2 = 299999999999999999998
<21> = 2 × 71 × 269 × 11685983 × 672071347
3×1021-2 = 2999999999999999999998
<22> = 2 × 179 × 317 × 208441 × 126822356273
<12>
3×1022-2 = 29999999999999999999998
<23> = 2 × 473899 × 132474961 × 238930541
3×1023-2 = 299999999999999999999998
<24> = 2 × 149999999999999999999999
<24>
3×1024-2 = 2999999999999999999999998
<25> = 2 × 734741655523
<12> × 2041533903413
<13>
3×1025-2 = 29999999999999999999999998
<26> = 2 × 7 × 2142857142857142857142857
<25>
3×1026-2 = 299999999999999999999999998
<27> = 2 × 193 × 19837469 × 39178489581451147
<17>
3×1027-2 = 2999999999999999999999999998
<28> = 2 × 36479 × 105883 × 388348915626021907
<18>
3×1028-2 = 29999999999999999999999999998
<29> = 2 × 14999999999999999999999999999
<29>
3×1029-2 = 299999999999999999999999999998
<30> = 2 × 34129 × 651769 × 1688411 × 3993887453509
<13>
3×1030-2 = 2999999999999999999999999999998
<31> = 2 × 19 × 53 × 7559 × 197059530238981974702023
<24>
3×1031-2 = 29999999999999999999999999999998
<32> = 2 × 7
2 × 17 × 229 × 617 × 127445824500523458234971
<24>
3×1032-2 = 299999999999999999999999999999998
<33> = 2 × 23 × 43 × 577 × 38509032983
<11> × 6825846872257901
<16>
3×1033-2 = 2999999999999999999999999999999998
<34> = 2 × 2383 × 3223718863
<10> × 6687716699
<10> × 29196593869
<11>
3×1034-2 = 29999999999999999999999999999999998
<35> = 2 × 14999999999999999999999999999999999
<35>
3×1035-2 = 299999999999999999999999999999999998
<36> = 2 × 1783 × 310188841 × 271215025330459718994833
<24>
3×1036-2 = 2999999999999999999999999999999999998
<37> = 2 × 211 × 61007 × 416501 × 279777693860715667793087
<24>
3×1037-2 = 29999999999999999999999999999999999998
<38> = 2 × 7 × 20357 × 5724620690597
<13> × 18387925118191612433
<20>
3×1038-2 = 299999999999999999999999999999999999998
<39> = 2 × 3216944429
<10> × 317640059159
<12> × 146795395056982109
<18>
3×1039-2 = 2999999999999999999999999999999999999998
<40> = 2 × 1499999999999999999999999999999999999999
<40>
3×1040-2 = 29999999999999999999999999999999999999998
<41> = 2 × 29 × 821 × 186028891265639
<15> × 3386645246438101121449
<22>
3×1041-2 = 299999999999999999999999999999999999999998
<42> = 2 × 241 × 27644879 × 22514355696914042473955519785441
<32>
3×1042-2 = 2999999999999999999999999999999999999999998
<43> = 2 × 3392209 × 13791341 × 32062852724853595642155808171
<29>
3×1043-2 = 29999999999999999999999999999999999999999998
<44> = 2 × 7 × 53 × 67 × 907 × 665327170866086096263349623351635301
<36>
3×1044-2 = 299999999999999999999999999999999999999999998
<45> = 2 × 396619 × 188832723946665413
<18> × 2002813388310880769017
<22>
3×1045-2 = 2999999999999999999999999999999999999999999998
<46> = 2 × 2083 × 720115218434949591934709553528564570331253
<42>
3×1046-2 = 29999999999999999999999999999999999999999999998
<47> = 2 × 263 × 26244709079
<11> × 2173170232546260782080928647704287
<34>
3×1047-2 = 299999999999999999999999999999999999999999999998
<48> = 2 × 17 × 5237 × 6715097 × 641779271634959
<15> × 390950512955669464997
<21>
3×1048-2 = 2999999999999999999999999999999999999999999999998
<49> = 2 × 19 × 499 × 8861 × 2261227 × 62691892343
<11> × 125950192125396195476399
<24>
3×1049-2 = 29999999999999999999999999999999999999999999999998
<50> = 2 × 7 × 18413 × 531505972073
<12> × 3091254288779
<13> × 70831393390992365167
<20>
3×1050-2 = 299999999999999999999999999999999999999999999999998
<51> = 2 × 409 × 233732810539
<12> × 1569091499877267490698597428907682949
<37>
3×1051-2 = 2
(9
)508
<52> = 2 × 59 × 2351 × 10814006300961004693278734617076036882970823811
<47>
3×1052-2 = 2
(9
)518
<53> = 2 × 3691 × 82212293 × 26227343491
<11> × 320451927641539
<15> × 5881569862314577
<16>
3×1053-2 = 2
(9
)528
<54> = 2 × 43 × 1087 × 10875489566706637723621
<23> × 295083172020812872146199559
<27>
3×1054-2 = 2
(9
)538
<55> = 2 × 23 × 7257678349003
<13> × 687420240803478769
<18> × 13072040674067060290459
<23>
3×1055-2 = 2
(9
)548
<56> = 2 × 7 × 71 × 5381632089437
<13> × 6629600534014525363
<19> × 845928204501520599257
<21>
3×1056-2 = 2
(9
)558
<57> = 2 × 53 × 1009 × 31013 × 613439 × 147437874321461279865454211393004636660841
<42>
3×1057-2 = 2
(9
)568
<58> = 2 × 593 × 677 × 269231 × 120041796649
<12> × 115608654276783136789886113053160261
<36>
3×1058-2 = 2
(9
)578
<59> = 2 × 47 × 2113 × 978283 × 147212614031608441
<18> × 1048779942156734318787873754603
<31>
3×1059-2 = 2
(9
)588
<60> = 2 × 131221 × 1690853 × 47290560335390947
<17> × 14295771690580986091532226477709
<32>
3×1060-2 = 2
(9
)598
<61> = 2 × 1873 × 44879 × 38110483 × 165091816958179627
<18> × 2836222579222701360846968017
<28>
3×1061-2 = 2
(9
)608
<62> = 2 × 7 × 6299 × 27475131539
<11> × 33791948179663
<14> × 366411081617125927935995751364199
<33>
3×1062-2 = 2
(9
)618
<63> = 2 × 2059751 × 84012023 × 866832316773064827494577732050820874646368637663
<48>
3×1063-2 = 2
(9
)628
<64> = 2 × 17 × 1021 × 219001 × 2267281 × 612871702082720135513
<21> × 283985116670771485881128219
<27>
3×1064-2 = 2
(9
)638
<65> = 2 × 9337 × 260929677531239
<15> × 25981860197442806159
<20> × 236968260797137805312449727
<27>
3×1065-2 = 2
(9
)648
<66> = 2 × 61 × 109 × 181 × 2999 × 41560415950950702979349379340945790513247727397283209629
<56>
3×1066-2 = 2
(9
)658
<67> = 2 × 19 × 211 × 5211252481
<10> × 71798122531918999723427632029409680679667207171312231
<53>
3×1067-2 = 2
(9
)668
<68> = 2 × 7 × 8455193 × 14907980692817
<14> × 7035960425358349
<16> × 2416169979657223712243097855653
<31>
3×1068-2 = 2
(9
)678
<69> = 2 × 29 × 128512220401
<12> × 1061822761513598061629
<22> × 37905026370954472017722410069238039
<35>
3×1069-2 = 2
(9
)688
<70> = 2 × 53 × 32707815398530755551
<20> × 94146608052071051879
<20> × 9190923975973609359016501627
<28>
3×1070-2 = 2
(9
)698
<71> = 2 × 16399292432594397912082867
<26> × 914673609343459503007473885051965475170865797
<45>
3×1071-2 = 2
(9
)708
<72> = 2 × 241 × 659 × 5813 × 13643501245733
<14> × 20453285358193369147981
<23> × 582236686261813689326696929
<27>
3×1072-2 = 2
(9
)718
<73> = 2 × 191 × 28001209 × 10078931741
<11> × 1762180968239
<13> × 15791235056839992313758072890287867678579
<41>
3×1073-2 = 2
(9
)728
<74> = 2 × 7
2 × 12007 × 2577317297
<10> × 139994534341
<12> × 62486021321704699664291
<23> × 1130833920183958288576199
<25>
3×1074-2 = 2
(9
)738
<75> = 2 × 43 × 16327037 × 213656163884681330357338466991470850210846798985761655544469823489
<66>
3×1075-2 = 2
(9
)748
<76> = 2 × 307 × 479 × 3291202523344157
<16> × 53799617791009789
<17> × 57608102750480477056606051422604619171
<38>
3×1076-2 = 2
(9
)758
<77> = 2 × 23 × 67 × 4363 × 3692745995040929707
<19> × 604162786813039634677880598228290301348912350742379
<51>
3×1077-2 = 2
(9
)768
<78> = 2 × 834830629 × 179677164192786223228041145577086870395599728289317473041588654984531
<69>
3×1078-2 = 2
(9
)778
<79> = 2 × 9239 × 162355233250351769672042428834289425262474293754735360969801926615434570841
<75>
3×1079-2 = 2
(9
)788
<80> = 2 × 7 × 17
2 × 3429721 × 1091866806910082834407879391
<28> × 1980007886868627322990556668021983945746383
<43>
3×1080-2 = 2
(9
)798
<81> = 2 × 91223859264437
<14> × 1644306667241346124534154544663165090098924811649446002737676854627
<67>
3×1081-2 = 2
(9
)808
<82> = 2 × 30949 × 1179427 × 58340869 × 4493540354133829
<16> × 156751618045725342373662044988297394087252355513
<48>
3×1082-2 = 2
(9
)818
<83> = 2 × 53 × 418771 × 10699321 × 6442192681
<10> × 740734991323
<12> × 13236891294871659500482548233043398207674651651
<47>
3×1083-2 = 2
(9
)828
<84> = 2 × 2393 × 41340108787
<11> × 1167913380782658611
<19> × 1298273854642774834289892473931539941318021723612799
<52>
3×1084-2 = 2
(9
)838
<85> = 2 × 19 × 97 × 40801 × 163171 × 452136288124679953493
<21> × 270385113223988374428495849949134262299226121713531
<51>
3×1085-2 = 2
(9
)848
<86> = 2 × 7 × 113 × 829 × 22874954821964226620652424211462182362189834675076516723879470338046082358987341
<80>
3×1086-2 = 2
(9
)858
<87> = 2 × 1487 × 330067 × 1875227707
<10> × 8424002001479
<13> × 19346647201814611441040394233773626374506370451595328327
<56>
3×1087-2 = 2
(9
)868
<88> = 2 × 131 × 49677317 × 234447224377687
<15> × 983143100393828594192007379491598343004349477406549887180254551
<63>
3×1088-2 = 2
(9
)878
<89> = 2 × 20879 × 518887249 × 13316635753
<11> × 563608543760558908046250769
<27> × 184474557580310839090757827290131867017
<39>
3×1089-2 = 2
(9
)888
<90> = 2 × 2111 × 435990771901
<12> × 109542475283939652121
<21> × 1487795285910687304245473210441989799310266854543174429
<55>
3×1090-2 = 2
(9
)898
<91> = 2 × 71 × 331 × 383 × 9406009097863051
<16> × 79522904293560164571983465175883
<32> × 222796577625356118880901731005149741
<36> (Eric Jeancolas / ECM for P32 x P36 /
May 27, 2022 2022 年 5 月 27 日)
3×1091-2 = 2
(9
)908
<92> = 2 × 7 × 5227 × 11717 × 81993128443861966333780381
<26> × 426723766619818902873367507554291311466042746764999511083
<57>
3×1092-2 = 2
(9
)918
<93> = 2 × 127921 × 188581369 × 6217998731721717996803190363550530846125577499151114759113811288711656502501351
<79>
3×1093-2 = 2
(9
)928
<94> = 2 × 487 × 3307 × 2062008424025711680960506396559209017
<37> × 451687079476457250489354633851034568480822942769683
<51> (Eric Jeancolas / ECM for P37 x P51 /
May 27, 2022 2022 年 5 月 27 日)
3×1094-2 = 2
(9
)938
<95> = 2 × 1439 × 30773 × 4579680366982579
<16> × 1449770096054994743851403587
<28> × 51018339891445832309019772740294448288161029
<44>
3×1095-2 = 2
(9
)948
<96> = 2 × 17 × 43 × 53 × 163 × 293590700220203358436425902023859
<33> × 80903649613200009893733334757845923153857018623866925729
<56> (Eric Jeancolas / ECM for P33 x P56 /
May 27, 2022 2022 年 5 月 27 日)
3×1096-2 = 2
(9
)958
<97> = 2 × 29 × 197 × 211 × 724061396039
<12> × 3214000611508164500523759941
<28> × 534716063887530299756517939457142725568560298159207
<51>
3×1097-2 = 2
(9
)968
<98> = 2 × 7 × 63659 × 1339927736639
<13> × 25121873808924402146645549879420197552486746172996652474022785986984468257613157
<80>
3×1098-2 = 2
(9
)978
<99> = 2 × 23 × 100118018707891
<15> × 2105365776783673
<16> × 165809704300970156128123251404717
<33> × 186600873596371720233876884157325223
<36> (Eric Jeancolas / ECM for P33 x P36 /
May 27, 2022 2022 年 5 月 27 日)
3×1099-2 = 2
(9
)988
<100> = 2 × 463 × 177990528889
<12> × 45296431013460731846546620823123709176863
<41> × 401836506952038014604278705365671076012119239
<45> (Eric Jeancolas / ECM for P41 x P45 /
May 27, 2022 2022 年 5 月 27 日)
3×10100-2 = 2
(9
)998
<101> = 2 × 317 × 839 × 39047 × 202195390146449539866931
<24> × 7143501062869529044175613735743932013548529134366110274471719744889
<67>
3×10101-2 = 2
(9
)1008
<102> = 2 × 241 × 21179 × 35369689 × 1187887718971786664329665084504249829
<37> × 699458790534140657084280652798236033489519647837761
<51> (Eric Jeancolas / ECM for P37 x P51 /
May 27, 2022 2022 年 5 月 27 日)
3×10102-2 = 2
(9
)1018
<103> = 2 × 19 × 1451038223
<10> × 1014253158509
<13> × 101336948445101
<15> × 7779454474294879323049129249
<28> × 68044882846384443363309968624616239347
<38>
3×10103-2 = 2
(9
)1028
<104> = 2 × 7 × 223 ×
9609224855861627162075592568866111467008327994875080076873798846893017296604740550928891736066623959<100>
3×10104-2 = 2
(9
)1038
<105> = 2 × 47 × 601 × 2109912989
<10> × 5457573243767947
<16> × 231062665452874606963751
<24> × 22033817089209197189982719
<26> × 90580620568517539629103871
<26>
3×10105-2 = 2
(9
)1048
<106> = 2 × 57283 × 1575071 × 3222579952843
<13> × 59690046153553057303
<20> × 86429052763654704399868605356847848322408061473512439415193767
<62>
3×10106-2 = 2
(9
)1058
<107> = 2 × 311 × 1014759570183981746687
<22> × 47529989044867684470335053174604081954014125072678664153664105322033768622566083207
<83>
3×10107-2 = 2
(9
)1068
<108> = 2 × 233 × 57077 × 379369 × 943150117807
<12> × 7381006923689222098571
<22> × 233865006261220358435623
<24> × 18262098533792896313526745087103859601
<38>
3×10108-2 = 2
(9
)1078
<109> = 2 × 53 × 167 × 7876007 × 18315763061
<11> × 79170770273226328390521595229828533801
<38> × 14838942016433159740398205807077918884889708707087
<50> (Eric Jeancolas / ECM for P38 x P50 /
May 27, 2022 2022 年 5 月 27 日)
3×10109-2 = 2
(9
)1088
<110> = 2 × 7 × 59 × 67 × 4011954676991
<13> × 75569136505855123
<17> × 1787993463506125242141377502107788017255843145133316724186569129348635887133
<76>
3×10110-2 = 2
(9
)1098
<111> = 2 × 77237 × 341298212542193144627453775983510886301852885109
<48> × 5690256564576581823844818133912743489195632640685426224503
<58> (Eric Jeancolas / ECM for P48 x P58 /
May 27, 2022 2022 年 5 月 27 日)
3×10111-2 = 2
(9
)1108
<112> = 2 × 17 × 151253 × 128529833 × 3080436528076986049614016433
<28> × 1473404976672008380565136009525873804683019706089158361839575081332491
<70>
3×10112-2 = 2
(9
)1118
<113> = 2 × 2903731 × 1460143876037840323843
<22> × 1572051285874138221878625770905486958190427
<43> × 2250466313328283437813606092971500893934389
<43> (Eric Jeancolas / ECM for P43(1572...) x P43(2250...) /
May 27, 2022 2022 年 5 月 27 日)
3×10113-2 = 2
(9
)1128
<114> = 2 × 359 × 1797754794991249
<16> × 35331913942760078609538074464511
<32> × 6578080603375767486965363952973016310987651878372145177989821799
<64> (Eric Jeancolas / ECM for P32 x P64 /
May 27, 2022 2022 年 5 月 27 日)
3×10114-2 = 2
(9
)1138
<115> = 2 × 11971 × 28463 × 2744382602323
<13> × 7550442892228691593
<19> × 4999380234539860496274991651
<28> × 42495887336464652613047521624927165451378026267
<47>
3×10115-2 = 2
(9
)1148
<116> = 2 × 7
2 × 8831 × 71803089011
<11> × 1345100602227063750037318960966148444750591237
<46> × 358911520622985558573946400108810330302357642979329903
<54> (Eric Jeancolas / ECM for P46 x P54 /
May 27, 2022 2022 年 5 月 27 日)
3×10116-2 = 2
(9
)1158
<117> = 2 × 43 × 368643715422801214772616190585684322916518831
<45> × 9462719550291007926278807807837446473664075618651176411307198994707603
<70> (Eric Jeancolas / cado-nfs-3.0.0 for P45 x P70 /
May 30, 2022 2022 年 5 月 30 日)
3×10117-2 = 2
(9
)1168
<118> = 2 × 56333 × 5850422646632603156141105239489849302870707270326550881
<55> × 4551359466085457119955242111026724211215472821893494081563
<58> (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P58 /
May 30, 2022 2022 年 5 月 30 日)
3×10118-2 = 2
(9
)1178
<119> = 2 × 643 × 1031 × 212981 × 37181742129893
<14> × 60497892025355672319900479293852308481
<38> × 47229220962011933435017718699006160931280533661200361611
<56> (Eric Jeancolas / ECM for P38 x P56 /
May 27, 2022 2022 年 5 月 27 日)
3×10119-2 = 2
(9
)1188
<120> = 2 × 617 × 205669676453
<12> × 11256919685655169
<17> × 136975806477992929
<18> × 4726504883357714615537
<22> × 162193066754590384737923430914030652666424131346027
<51>
3×10120-2 = 2
(9
)1198
<121> = 2 × 19 × 23 × 3419257 ×
1003871390531978547677963858955483369364943375774233885860956601937746576788686883946254629091074317188648212411<112>
3×10121-2 = 2
(9
)1208
<122> = 2 × 7 × 53 × 1025099 × 573376803617269
<15> × 251283994929301606003615775533295681613391199
<45> × 273745250223743119474591988827735824145969390375073101
<54> (Eric Jeancolas / ECM for P45 x P54 /
May 27, 2022 2022 年 5 月 27 日)
3×10122-2 = 2
(9
)1218
<123> = 2 × 390407 × 2975543 × 4336891476915884479304384131187324614369233378929621
<52> × 29773430537259969555811671194728049052119642760419323849219
<59> (Eric Jeancolas / ECM for P52 x P59 /
May 27, 2022 2022 年 5 月 27 日)
3×10123-2 = 2
(9
)1228
<124> = 2 × 341347 × 4867314750593
<13> × 82869329682197
<14> × 10894615602118074838912091746765534939170029292339263364943396164571880359912205186831990177
<92>
3×10124-2 = 2
(9
)1238
<125> = 2 × 29 × 5237 × 24533 ×
4025872609572281500352939260565707207707258063409446954153598101542764600039115002526494060311155791581325425097411<115>
3×10125-2 = 2
(9
)1248
<126> = 2 × 61 × 71 × 266863 × 4612381 × 22967318529377273
<17> × 1225121730907329805903604423191128651469063591405398413075821211910983081850352331122759127591
<94>
3×10126-2 = 2
(9
)1258
<127> = 2 × 211 × 983 ×
7231947852834682493382767714656265518554767541089517050522387699903091898772015254588670912623606042051366114949400471523<121>
3×10127-2 = 2
(9
)1268
<128> = 2 × 7 × 17 × 605629 × 2954270438145512959293364454882837173515816240816427739
<55> × 70451036362969877416636447726923458775428932163931748802605747991
<65> (Dmitry Domanov / Msieve 1.54 snfs for P55 x P65 /
May 31, 2022 2022 年 5 月 31 日)
3×10128-2 = 2
(9
)1278
<129> = 2 × 773 × 225375383864909
<15> × 23286626237421506245032231765517511015429884891
<47> × 36974193790058242609198593234805230941804996882669060862947877677
<65> (Dmitry Domanov / Msieve 1.54 snfs for P47 x P65 /
May 31, 2022 2022 年 5 月 31 日)
3×10129-2 = 2
(9
)1288
<130> = 2 × 823 × 10109285603868917
<17> × 489580414549563014776663209645541319431264424832181
<51> × 368253532783221548878444218024073666145075645984501584623169
<60> (Eric Jeancolas / cado-nfs-3.0.0 for P51 x P60 /
May 31, 2022 2022 年 5 月 31 日)
3×10130-2 = 2
(9
)1298
<131> = 2 × 293 × 34659244594128512464610782367
<29> ×
1477081795885979148907236556056808293206194505358956396019749330985682709582094839531534398262439629<100>
3×10131-2 = 2
(9
)1308
<132> = 2 × 241 × 2375459 × 41622111017695616836230299869
<29> × 5332180717197746726944841655357364092721
<40> × 1180586232147506333333360939096872281799776524375939929
<55> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:859193146 for P40 x P55 /
May 27, 2022 2022 年 5 月 27 日)
3×10132-2 = 2
(9
)1318
<133> = 2 × 900691910153849717
<18> ×
1665386335871253449506991473208719696755603581164423438502591772494336439676934540971858012407322210573592238854947<115>
3×10133-2 = 2
(9
)1328
<134> = 2 × 7 × 120709 × 307108097 × 43923598052265758109942474814507
<32> × 1316025763494401973856116850560834137544333169458511216771941986355000040566592215406687
<88> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:73988444 for P32 x P88 /
May 27, 2022 2022 年 5 月 27 日)
3×10134-2 = 2
(9
)1338
<135> = 2 × 53 × 216922073089
<12> × 6741313144479601
<16> × 6720531917536473599
<19> × 5512723179068084647821826013075760540653
<40> × 52239295205075954775786453892199530202650876801
<47> (Eric Jeancolas / Msieve 1.53 for P40 x P47 /
May 29, 2022 2022 年 5 月 29 日)
3×10135-2 = 2
(9
)1348
<136> = 2 × 3889 ×
385703265620982257649781434816148110053998457186937516070969400874260735407559784006171252249935716122396502957058369760863975314991<132>
3×10136-2 = 2
(9
)1358
<137> = 2 × 5971372929039820532593026294876332533978897
<43> × 2511985129425161617515268736302554457761430468510429576468158010992684726298208329977043338767
<94> (Bob Backstrom / Msieve 1.54 snfs for P43 x P94 /
May 29, 2022 2022 年 5 月 29 日)
3×10137-2 = 2
(9
)1368
<138> = 2 × 43 × 1189843 × 876279121 ×
3345728375086715577692834674905529511343138874757241806035683825507040783455194827818826928867667839118413247557460388031<121>
3×10138-2 = 2
(9
)1378
<139> = 2 × 19 × 176727571866127010539458483305709570728062609
<45> × 446717892332363912468583241149150445012375381258425531105097647510512034321390411204258587669
<93> (Bob Backstrom / Msieve 1.54 snfs for P45 x P93 /
May 29, 2022 2022 年 5 月 29 日)
3×10139-2 = 2
(9
)1388
<140> = 2 × 7 × 719 × 11093 × 1578289 × 8729711 ×
19499744435149162953289745755362818087566018016299801298654808117870563690756927788110506943021643240396666205939890549<119>
3×10140-2 = 2
(9
)1398
<141> = 2 × 4028489929
<10> × 33913238314992412493036495357617696661
<38> × 157078175035619753019938305127780060466071587
<45> × 6989785815908194007873822032149442508427671759833
<49> (Taiyo Kodama / Msieve 1.53 for P38 x P45 x P49 /
May 31, 2022 2022 年 5 月 31 日)
3×10141-2 = 2
(9
)1408
<142> = 2 × 1151 × 392837 × 16269606196253
<14> × 1913957319209616255549348743869627
<34> × 316487875615403969842586468184594353
<36> × 336617881564525074357285980688651071590946605493939
<51> (Eric Jeancolas / ECM for P34 x P36 x P51 /
May 27, 2022 2022 年 5 月 27 日)
3×10142-2 = 2
(9
)1418
<143> = 2 × 23 × 67 × 58019134967953603
<17> × 4521950844976586850594202205389228103789
<40> × 37101505591364316619815226779935831436905114653897866975889280145898149545644601717
<83> (Eric Jeancolas / cado-nfs-3.0.0 for P40 x P83 /
June 2, 2022 2022 年 6 月 2 日)
3×10143-2 = 2
(9
)1428
<144> = 2 × 17 × 22549 × 252779 × 2826179 × 46183387 × 5913299025108803285080574707
<28> × 2005666743820067244720378833956522073308174381417075300323478673545018669648730194634537587
<91>
3×10144-2 = 2
(9
)1438
<145> = 2 × 19923341 × 2866128883
<10> × 241276462564498833938702531002597524637675061
<45> × 108872555815717048230579685455479490003623638362618107572277013972236903307631716053
<84> (Taiyo Kodama / Msieve 1.53 for P45 x P84 /
June 1, 2022 2022 年 6 月 1 日)
3×10145-2 = 2
(9
)1448
<146> = 2 × 7 × 283 × 557 × 33170194087
<11> × 176442296879
<12> × 20125531545653963777287322219148120409
<38> × 115412676681058256158288871396029538914257275087179540614251593203578927976812471
<81> (Eric Jeancolas / cado-nfs-3.0.0 for P38 x P81 /
June 3, 2022 2022 年 6 月 3 日)
3×10146-2 = 2
(9
)1458
<147> = 2 × 1487179 × 12434083 ×
8111744308490674971231797044513354421348779227234230442160822741221706747946335122847417003480657908264362466516995046354483911971007<133>
3×10147-2 = 2
(9
)1468
<148> = 2 × 53 × 12445715083
<11> ×
2274026570888745628910300298814808399750372293396687332006528406663752232381433530675241189982670333579360071460823150542461023527259401<136>
3×10148-2 = 2
(9
)1478
<149> = 2 × 28538885707
<11> × 1814879595915167
<16> × 272604114394020413
<18> × 39377182358779166678546463215831
<32> × 26979219753113283499511966554768051899099029381488740756289210810539272857
<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2352907662 for P32 x P74 /
May 27, 2022 2022 年 5 月 27 日)
3×10149-2 = 2
(9
)1488
<150> = 2 × 1811 × 4112434348821054348577021
<25> ×
20140666156682286917401575551184458665737472113192228957537680244064783271262100767582586869944363449569323130672912901129<122>
3×10150-2 = 2
(9
)1498
<151> = 2 × 47 × 149 × 673 × 179083 × 6286829 × 65403911 × 298705546126294150626890759
<27> × 583905876246796376487626272113293
<33> × 24780850548577734393942078692637406866737099156663578324928686079
<65> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3816241769 for P33 x P65 /
May 27, 2022 2022 年 5 月 27 日)
3×10151-2 = 2
(9
)1508
<152> = 2 × 7 × 5484137 × 888170199511204756395519173
<27> × 101325782881185813451902841030048127503
<39> × 4341789443019934112866668456672578913904723272320285129998699535722567509914819
<79> (Eric Jeancolas / cado-nfs-3.0.0 for P39 x P79 /
June 3, 2022 2022 年 6 月 3 日)
3×10152-2 = 2
(9
)1518
<153> = 2 × 29 × 836014367 × 324251496461
<12> ×
19080841816312959746356204437835838410806362337058838828472388586733436705830645121059175085406142574337187915394905527168124321513<131>
3×10153-2 = 2
(9
)1528
<154> = 2 × 539948253138661398552619348326566045044770547963
<48> ×
2778043990846642363316442671131883138026762770644754969832933319091784850710277009208333312274478054464973<106> (Bob Backstrom / Msieve 1.54 snfs for P48 x P106 /
May 30, 2022 2022 年 5 月 30 日)
3×10154-2 = 2
(9
)1538
<155> = 2 × 226487 × 184205471 × 11735221795056245793260932613
<29> × 316794081665298469235366810539
<30> × 29820773560742547701333597448949264229
<38> × 3243083930620060325719233401614513017587193629
<46> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:353108511 for P30 /
May 27, 2022 2022 年 5 月 27 日) (Eric Jeancolas / Dario Alpern's calculator for P38 x P46 /
May 29, 2022 2022 年 5 月 29 日)
3×10155-2 = 2
(9
)1548
<156> = 2 × 6299 × 1691258625339376726379
<22> × 7392379408909351069243
<22> × 114861290923306535957155861
<27> × 16582564093007888725054089430026904106912603871487401944052848080386050687079020753
<83>
3×10156-2 = 2
(9
)1558
<157> = 2 × 19 × 211 × 1201 × 1489 × 182041 × 17482812773
<11> × 2572996396843
<13> × 830551586018365857628705325286671015400157675517716919
<54> × 30763177302784968016248659404570038904223883499837218249059368079
<65> (Eric Jeancolas / cado-nfs-3.0.0 for P54 x P65 /
June 4, 2022 2022 年 6 月 4 日)
3×10157-2 = 2
(9
)1568
<158> = 2 × 7
2 × 1511 × 1336733261383126423
<19> ×
151560475844549467171804491899360055723317511554931219736765760381100113931745540082271529690578760960492256436849831169289137660109167<135>
3×10158-2 = 2
(9
)1578
<159> = 2 × 43 × 209020517 × 1516866257155293742011064833685319
<34> × 67770433105189320575551243202290080239506620167
<47> × 162347772493553740286847021824176512490086387162308431086930859708873
<69> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3708888800 for P34 /
May 27, 2022 2022 年 5 月 27 日) (Eric Jeancolas / cado-nfs-3.0.0 for P47 x P69 /
June 4, 2022 2022 年 6 月 4 日)
3×10159-2 = 2
(9
)1588
<160> = 2 × 17 × 1141379 × 36424733 × 10509276302034851011960286033908258397244593
<44> ×
201949727995390058802373546066037004307646360745448452018280008977522062695807669361809291496773566297<102> (Bob Backstrom / Msieve 1.54 snfs for P44 x P102 /
June 1, 2022 2022 年 6 月 1 日)
3×10160-2 = 2
(9
)1598
<161> = 2 × 53 × 71 ×
3986181238373638054743555673664629285144831251660908849322349189476481530693595535477013021525378687217645495615200637788998139782088758968907786340685623173<157>
3×10161-2 = 2
(9
)1608
<162> = 2 × 241 × 643369 × 83568533236113211553
<20> × 246860629579230769898106343807573227857
<39> × 46894236944005392054292748848650189364634581787442987755244358934332977585289711480571638688711
<95> (ebina / GMP-ECM 7.0 B1=3000000, sigma=1:1780002148 for P39 x P95 /
May 31, 2022 2022 年 5 月 31 日)
3×10162-2 = 2
(9
)1618
<163> = 2 × 5098253 ×
294218431294013851411454080446772649376168660127302430852293913228707951527709589932080655863881215781170530375797356467009385371812658179184124444196865083<156>
3×10163-2 = 2
(9
)1628
<164> = 2 × 7 × 39401221 × 60298148666862041282427675543371
<32> ×
901943972257915485815311064004239741955996130300704746421037147519071740035753288162783189197294835779970667490897260952127<123> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2274874294 for P32 x P123 /
May 27, 2022 2022 年 5 月 27 日)
3×10164-2 = 2
(9
)1638
<165> = 2 × 23 × 93379201693237427371
<20> × 14056159005476389398719764561
<29> × 1417131620449393183815442974859
<31> × 3506197827980712038636288290674266781647532908050177027920908520613941384923021288497
<85> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:598171012 for P31 x P85 /
May 27, 2022 2022 年 5 月 27 日)
3×10165-2 = 2
(9
)1648
<166> = 2 × 419 × 289621133 × 5588601211666969
<16> × 106176019487832245289290581
<27> × 27962751791453108494042842427170034190425013612474906521
<56> × 744967831548637101027686678022459893488536658397445880373
<57> (Eric Jeancolas / cado-nfs-3.0.0 for P56 x P57 /
May 30, 2022 2022 年 5 月 30 日)
3×10166-2 = 2
(9
)1658
<167> = 2 × 24682906693118720046286109
<26> × 42006874594039954528139827260784121159
<38> ×
14466870280593378713459857785834526988787459821500587167631132503854451356830403885031162675385878798429<104> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3519626998 for P38 x P104 /
May 27, 2022 2022 年 5 月 27 日)
3×10167-2 = 2
(9
)1668
<168> = 2 × 59 × 191 × 22618331 × 343802219 ×
1711735467515152350754134012939319464478583688894307181343273766940395488242984843915405915219845110662666345095241345443594759572667153760086046939<148>
3×10168-2 = 2
(9
)1678
<169> = 2 × 50643462047
<11> × 118233671853181387
<18> × 119299176781709901690773
<24> × 2364759532035387346677379
<25> × 887978117094636843789475262140979381057518719055526321085139364304844341134998772195197794173
<93>
3×10169-2 = 2
(9
)1688
<170> = 2 × 7 × 1697 × 12952632292129
<14> × 70866765068480194757
<20> × 4629630489549618102203991683047408687982222321576412431323
<58> × 297142246217659904068781300213007420264625708391184653501704173420525202799
<75> (Bob Backstrom / Msieve 1.54 snfs for P58 x P75 /
June 6, 2022 2022 年 6 月 6 日)
3×10170-2 = 2
(9
)1698
<171> = 2 × 7541 × 11336371 × 500808462522883
<15> × 76124611298897733976996970551947952330948494424043516350304643708001
<68> × 46024758769590050790229670998080043205138817326245172138075298785755448128123
<77> (Bob Backstrom / Msieve 1.54 snfs for P68 x P77 /
June 7, 2022 2022 年 6 月 7 日)
3×10171-2 = 2
(9
)1708
<172> = 2 × 311497313 × 139982010689881827982331
<24> × 54952610994248249803294770919531966549
<38> ×
626002971595791739564180121539787467538929949631489473558795446458267803541937576398291339003147810617<102> (Bob Backstrom / Msieve 1.54 snfs for P38 x P102 /
June 8, 2022 2022 年 6 月 8 日)
3×10172-2 = 2
(9
)1718
<173> = 2 × 14484130137814952810894024376008868861460786489602277582827667
<62> ×
1035616212867227820622033699432550633456990046893008221975889896196157466801162215227948942786014624855378448997<112> (Bob Backstrom / Msieve 1.54 snfs for P62 x P112 /
June 2, 2022 2022 年 6 月 2 日)
3×10173-2 = 2
(9
)1728
<174> = 2 × 53 × 109 × 18022721498011364323864350523851018140559193379
<47> × 490299909278220491587406848653459196167712031495665341109
<57> × 2938371526537814270449121766627383395200218650783362005170976532017
<67> (Bob Backstrom / Msieve 1.54 snfs for P47 x P57 x P67 /
June 2, 2022 2022 年 6 月 2 日)
3×10174-2 = 2
(9
)1738
<175> = 2 × 19 × 6269 × 27997380547
<11> × 80491413664549421
<17> ×
5588206330258889869922557576373292945866819092234717177495009824133152946591366042430912933918061902229462722649185922369160009059345918265007<142>
3×10175-2 = 2
(9
)1748
<176> = 2 × 7 × 17 × 67 × 1861 × 79140212626561086871339686466405879797459986988161450034551
<59> ×
12773970506102240453738694064037604680787050162983796070454977743151619393658790269155678476205584711430570433<110> (Bob Backstrom / Msieve 1.54 snfs for P59 x P110 /
June 3, 2022 2022 年 6 月 3 日)
3×10176-2 = 2
(9
)1758
<177> = 2 × 163 × 859880921822023338662063
<24> ×
1070200972505675537032671362198614170145522381037264052707719967241552485196764960045858624775612384371469804345434739871366729878037107425920437622171<151>
3×10177-2 = 2
(9
)1768
<178> = 2 × 2625067 × 3474763 × 35865159289
<11> × 71442430296343
<14> ×
64179553950408272208095542234141021330644533944137728781194900763108319550010572401870615487092281634181588319694864137354747554731162940297<140>
3×10178-2 = 2
(9
)1778
<179> = 2 × 5381 × 233705038182167
<15> × 209301756343522685179
<21> × 17975143746349503518158162777197848212060062187
<47> × 3170406481893633162584424490015085218963947662488684478836622209393895281100450358380966156669
<94> (Bob Backstrom / Msieve 1.54 snfs for P47 x P94 /
June 15, 2022 2022 年 6 月 15 日)
3×10179-2 = 2
(9
)1788
<180> = 2 × 43 × 317 × 98717 × 1941491697797
<13> × 12375486171211763327897401709522151209939220377117812790554489
<62> × 4639527845044424918166627225679330404451068960901426902857404572781507940728065764007948740304889
<97> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P62 x P97 /
June 9, 2022 2022 年 6 月 9 日)
3×10180-2 = 2
(9
)1798
<181> = 2 × 29 × 97 × 3998737 × 1178054772239
<13> × 5894639090803
<13> ×
19203305142057763977176933398880429103344271019729065784374555241354312058337716243664705941538551093337194873875714876098231751173371103404024087<146>
3×10181-2 = 2
(9
)1808
<182> = 2 × 7 × 2389 × 22171739 × 339435997092139485491
<21> × 146761747759145056614199381849
<30> ×
812094444407637800265170549583217223600425747826033073757915084020115117042219628763006590601352895616506584145986892813<120> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:371670575 for P30 x P120 /
May 27, 2022 2022 年 5 月 27 日)
3×10182-2 = 2
(9
)1818
<183> = 2 × 523 × 2934941879
<10> × 3544404689035189762493239032127803687598897
<43> ×
27570634599433592842491248606718208711079325357061544896636279881357443093847944028619298404363190229590728152536234784176950651<128> (Bob Backstrom / Msieve 1.54 snfs for P43 x P128 /
June 12, 2022 2022 年 6 月 12 日)
3×10183-2 = 2
(9
)1828
<184> = 2 × 126491 × 310087 × 24059227 × 2290718006767
<13> × 3906426395442343
<16> × 22876256267255754603335454525134684528433827435259208340983
<59> × 7764798237837012077960432433916701320638178865905328167303361117716196045315007
<79> (Eric Jeancolas / cado-nfs-3.0.0 for P59 x P79 /
June 29, 2022 2022 年 6 月 29 日)
3×10184-2 = 2
(9
)1838
<185> = 2 × 70214689 × 8842685429
<10> × 77420512573896477803402688128208754438873188941
<47> ×
312049193549060251206911389088677380324764581414497242108146246312434589926532345712441717584212072120048132986357050319<120> (Bob Backstrom / Msieve 1.54 snfs for P47 x P120 /
June 26, 2022 2022 年 6 月 26 日)
3×10185-2 = 2
(9
)1848
<186> = 2 × 61 × 2835669539
<10> ×
867173117185508177375696714125312957916764283812120297938867995512361936974966679878748433930609573246671973782600860689521627785642557890036167620992856806791179970794608281<174>
3×10186-2 = 2
(9
)1858
<187> = 2 × 23 × 53 × 211 × 8059779812817084803130863
<25> × 3975137717966554724693661972571
<31> ×
182024455863409781954290669999226345384030674086287380927741072768166728230103359252053181928189560765772124847793147204053307<126> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2998481467 for P31 x P126 /
May 27, 2022 2022 年 5 月 27 日)
3×10187-2 = 2
(9
)1868
<188> = 2 × 7 × 889478383811
<12> × 996357121420972309
<18> × 1069100067768660325729
<22> ×
2261644988014631829605334131173070997703720362988576245087504009308924257964473821908782142205051768128959307750413531645088651303730967<136>
3×10188-2 = 2
(9
)1878
<189> = 2 × 3582157854287
<13> × 470408224395301123342335762427
<30> × 3627271134920279501290012842698866067992919527045803408805147
<61> × 24540963704800750101265055785355007647151393125927494002351992980381342831806096052633
<86> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:939534958 for P30 /
May 27, 2022 2022 年 5 月 27 日) (Eric Jeancolas / cado-nfs-3.0.0 for P61 x P86 /
October 23, 2022 2022 年 10 月 23 日)
3×10189-2 = 2
(9
)1888
<190> = 2 × 653 × 186163 × 208969139 × 2449296169
<10> × 99417523904519057905216221292562461
<35> × 13320180932011102332391485358489582433816607560179229728590390317
<65> × 18204895313255296371879902073765255727991567243973532518992470723
<65> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:253314672 for P35 /
May 27, 2022 2022 年 5 月 27 日) (Eric Jeancolas / cado-nfs-3.0.0 for P65 x P65 /
June 5, 2022 2022 年 6 月 5 日)
3×10190-2 = 2
(9
)1898
<191> = 2 × 2909 × 8923 × 11313773223615178747718991069523619745561287537387129486424467887148889017659
<77> ×
51077446249890897968016792786670915800027080967331495573170015033154209194861494333069893208321457127548323<107> (Bob Backstrom / Msieve 1.54 snfs for P77 x P107 /
June 22, 2022 2022 年 6 月 22 日)
3×10191-2 = 2
(9
)1908
<192> = 2 × 17 × 241 × 8269 ×
4427640009135106866847552487679870292581108387653342825406376917378436855935190921165485908548630526517534502310977185168008128438634370594590433410758982213077932102022389512892594043<184>
3×10192-2 = 2
(9
)1918
<193> = 2 × 19 × 4729 × 754179865927949
<15> × 688171616663671061
<18> × 1327653994567276725024485662759271
<34> × 374976061042956567430935706464459289801
<39> × 64611259124805145377302933803424985840531844638845267582302467656806689400720939171
<83> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4115134864 for P34 /
May 27, 2022 2022 年 5 月 27 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1211987477 for P39 x P83 /
June 3, 2022 2022 年 6 月 3 日)
3×10193-2 = 2
(9
)1928
<194> = 2 × 7 × 35339 × 13412337952802867044985273
<26> × 1292430861558377123588244635462487185115463930668437
<52> ×
3498059202276962939381395233276230483037266513362799603604807133503074509398085279758467632773944601364034110663<112> (Bob Backstrom / Msieve 1.54 snfs for P52 x P112 /
July 22, 2022 2022 年 7 月 22 日)
3×10194-2 = 2
(9
)1938
<195> = 2 × 197 × 907 × 41260338187127578102907845493
<29> × 287000808415671110592654390461
<30> ×
70892753115474590706982982727459790783951984204017412813381811002444491451949787463873517145178480448550733508842676898654026446297<131> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1878362567 for P30 x P131 /
May 27, 2022 2022 年 5 月 27 日)
3×10195-2 = 2
(9
)1948
<196> = 2 × 71 × 431 × 15607 × 29727949 × 4025197003909
<13> × 566963776183289060041776441923364851819297
<42> ×
46294437275073480641112960768468238600627854248298450555578985688232097684940916882610507401180226416196981443523590776029841<125> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1247358789 for P42 x P125 /
May 27, 2022 2022 年 5 月 27 日)
3×10196-2 = 2
(9
)1958
<197> = 2 × 47 × 13581643 × 53920659265441
<14> × 662848134134674734569516947679
<30> × 321951791044521772479690796185023591
<36> × 132117202113537649511930769145890760671645281848565353
<54> × 15456873245084613213727016711120167095137217497446298227
<56> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2320240468 for P30 /
May 27, 2022 2022 年 5 月 27 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3589017804 for P36 /
July 20, 2022 2022 年 7 月 20 日) (Bob Backstrom / Msieve 1.54 gnfs for P54 x P56 /
July 22, 2022 2022 年 7 月 22 日)
3×10197-2 = 2
(9
)1968
<198> = 2 × 113 × 641463927421
<12> × 14035138375088113125247
<23> × 622980149508746755246021
<24> ×
236673519571184004105980232858355302586371475020308815409042463724991323900385489734595184653295195864354720801215794357998526616805351649<138>
3×10198-2 = 2
(9
)1978
<199> = 2 × 717396419161
<12> × 5362645823663
<13> × 23167872388277
<14> × 1660049177308431671
<19> ×
10137849353892594602087628105642163706901813350495373781968806655421166473964450827100666840342908136793400637890005794933246144713748275085779<143>
3×10199-2 = 2
(9
)1988
<200> = 2 × 7
2 × 53 × 179 × 2683 × 90107203 × 4580324401
<10> × 7830970964346045185387239419763
<31> × 370686853697135701762218126153729334435986682991474863
<54> × 10038459262504420882971211214466307236971532977332637160037220349466780305558161879201333
<89> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3997625900 for P31 /
May 27, 2022 2022 年 5 月 27 日) (Eric Jeancolas / cado-nfs-3.0.0 for P54 x P89 /
October 24, 2022 2022 年 10 月 24 日)
3×10200-2 = 2
(9
)1998
<201> = 2 × 43 × 331 × 18307 × 48619 × 145460384857010175104881
<24> × 50577595931303881732135727758381630867
<38> ×
1609417396520616466753525982043110709598913658410859473827679415831205350024763025183911787794520632195373055496706122748985533<127> (Bob Backstrom / GMP-ECM 7.0.4 B1=19530000, sigma=1:1744797731 for P38 x P127 /
September 3, 2022 2022 年 9 月 3 日)
3×10201-2 = 2
(9
)2008
<202> = 2 × 5237 × 155097412277
<12> × 487521736679
<12> × 73340615474009843322523
<23> ×
51649437854557725688042804113807590775419065066504095757612450040428194621404706567229708525856192803158459786454756160949504226361842057931125332546403<152>
3×10202-2 = 2
(9
)2018
<203> = 2 × 43309066271953
<14> × 343672531226662105323880887273639561649445965733354430076126841837
<66> ×
1007784366247498309862032558620708218218106448843349463421888715626081658096101411686986898349188116809511647526412395958059<124> (Bob Backstrom / Msieve 1.44 snfs for P66 x P124 /
June 22, 2023 2023 年 6 月 22 日)
3×10203-2 = 2
(9
)2028
<204> = 2 × 134415932956207172960765924977640767016348704731947623697320589188628468557561697629696399627
<93> ×
1115939135346924456794569788650438468286374103706232762638314316289363703324244406727389480882707659161793369437<112> (Bob Backstrom / Msieve 1.44 snfs for P93 x P112 /
July 10, 2023 2023 年 7 月 10 日)
3×10204-2 = 2
(9
)2038
<205> = 2 × 44501 × 151537 × 489740464599138307
<18> × 11659549503491047829006943194750856196703275138829
<50> × 104597625338951398045604949037359909593015085918813236783
<57> × 372420191468347688210820555222381038386295681243982851303943169427046523
<72> (Bob Backstrom / Msieve 1.44 snfs for P50 x P57 x P72 /
August 25, 2023 2023 年 8 月 25 日)
3×10205-2 = 2
(9
)2048
<206> = 2 × 7 × 4391 ×
488011191723330188372320005205452711715522009304746722191495591632234765917298370042619644077170836451182613787942870156488922145947880404723948335881836223444057650388782249406253050069948270813677327<201>
3×10206-2 = 2
(9
)2058
<207> = 2 × 42053281 × 27054893719037923245410386695451686799016597117
<47> × 291382042571316921217892376654648620623220709460709001649378715520043139803
<75> × 452462674559388666954189429911176693642654031838872972021559515987862439061329
<78> (Bob Backstrom / Msieve 1.44 snfs for P47 x P75 x P78 /
January 1, 2024 2024 年 1 月 1 日)
3×10207-2 = 2
(9
)2068
<208> = 2 × 17 × 617 × 175327 × 348643 × 197286959 × 1295582370557
<13> × 202162361126018177
<18> ×
45275547669117529614704799651830391531959962150751579053768588984359935390931675945818221298077927147619232550447479250366335266851802206245144407494117681<155>
3×10208-2 = 2
(9
)2078
<209> = 2 × 23 × 29 × 67 × 2543 × 170250786427
<12> ×
[775273850200015226626191083664029689459508101127687069549042628047480646303682796310795487267763635942912142094364971541650126933681724443620198813019727633935553698518844435926961106034131<189>]
Free to factor
3×10209-2 = 2
(9
)2088
<210> = 2 × 430009 × 195003353 × 75146939443
<11> × 17261625648122461
<17> ×
[1379045652240576125474706604801116722573905858777957608269203979343002311182361759921124001878635799773951065958970578877548956304991607390648458568115424716076917544569<169>]
Submitted
3×10210-2 = 2
(9
)2098
<211> = 2 × 19 × 19031 × 82286312419
<11> × 1185474892709
<13> × 51372462085228829281274850337
<29> ×
827800544692919437068074765028253769452370491895155605208395313159701963540526877340348681419006284953650649287921715054681771054555507799636760222624333<153>
3×10211-2 = 2
(9
)2108
<212> = 2 × 7 × 11821 × 3894916331
<10> × 27477117656753
<14> × 59792845856189672333
<20> × 785834109806476089691853
<24> × 797057579055878847840313678124381489841599
<42> × 45227220635525886795008860203105824641213315338759121615268277947304243196383042351238928182411969
<98> (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:1140982004 for P42 x P98 /
June 4, 2022 2022 年 6 月 4 日)
3×10212-2 = 2
(9
)2118
<213> = 2 × 53 × 3527 × 101999 × 7413047 × 28351723 × 8213176668204162793
<19> × 164891580843152727932196523
<27> ×
27639371207120357746575555919889347971832905436469677914268077214026720304752440608128436942130700552475999042253588918951247336945913212492269<143>
3×10213-2 = 2
(9
)2128
<214> = 2 × 171935453453
<12> × 499353907007944794823630724634491
<33> ×
17470984100952493877006441828229367473111847088741093214847461667977559043012245670830899661007208776417240002313567435949438151287745316849467223815685580681301599464513<170> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:340497181 for P33 x P170 /
May 27, 2022 2022 年 5 月 27 日)
3×10214-2 = 2
(9
)2138
<215> = 2 × 3023 × 2019784181
<10> × 2071663921
<10> × 108736679473
<12> × 9466467637465157469705431
<25> ×
1152032739748664936754553299016058304748129790111849904192154278767985014148202985798211371578678323125282031390252470270956415999667922313009221352842558651<157>
3×10215-2 = 2
(9
)2148
<216> = 2 × 641411 × 4747871 × 18970227349
<11> × 148979168438101
<15> × 473635666355591
<15> × 333588713322922319
<18> × 1217559926686070106860537
<25> × 2877224720850083393657693101
<28> × 8127535664154781564976217874215781
<34> × 3874173832360249792279097983949902672515211452695155950302467
<61> (Eric Jeancolas / cado-nfs-3.0.0 for P34 x P61 /
May 30, 2022 2022 年 5 月 30 日)
3×10216-2 = 2
(9
)2158
<217> = 2 × 211 × 41402693 ×
171703921272379380998121563336643560957238614717429015080335646500210489604936833342233644248914067965011186373680104903009787424681203536470327199815410775447368520035423668230071582759235959276680166559713<207>
3×10217-2 = 2
(9
)2168
<218> = 2 × 7 × 131 × 1499 × 4025550374080363
<16> ×
[2710784694874625680924093415327234455142186425565726110430548142028789022021977295872895676960842471391062803437272647862741552886370482208325850340006464052378197921793925015017313660714385447531<196>]
Free to factor
3×10218-2 = 2
(9
)2178
<219> = 2 × 193 × 313 × 1303493 × 992416003 × 627942616770068324973119
<24> ×
3056801177669621460355694959919180574375767409151770923810597438787564663090968410420000908347677040095699595252775098665582437197388609567416929762513186001773724098692313511<175>
3×10219-2 = 2
(9
)2188
<220> = 2 × 3833 × 2300886177887161
<16> × 1508345418894473657832669224702100368055346585284720866595803107
<64> ×
112760370981672421636398957393902845657658063584074686426692865943146340294215074977695455961292288627098062965262637204185951477221017989<138> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P64 x P138 /
September 1, 2022 2022 年 9 月 1 日)
3×10220-2 = 2
(9
)2198
<221> = 2 × 157394721800134080503
<21> × 1567431514481246997429357114427794476329
<40> ×
60801251745841847222223335211938173734592398709437892790681831952615028979290638464305634196070738229028717492007018416626093995503563769463766191092189151314577<161> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P40 x P161 /
September 23, 2022 2022 年 9 月 23 日)
3×10221-2 = 2
(9
)2208
<222> = 2 × 43 × 241 × 1031 × 15464881806205239175073
<23> × 286829762618730441040003
<24> × 2045473277474354815910004831361
<31> × 8403335413365235244839934272369771008565865733913916067652245765883
<67> × 184132635109769335690054195361697099633280115579715936364305872675582939
<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:277420220 for P31 /
May 27, 2022 2022 年 5 月 27 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P67 x P72 /
June 17, 2022 2022 年 6 月 17 日)
3×10222-2 = 2
(9
)2218
<223> = 2 × 977343982912603
<15> × 4656964228865059313326048853
<28> ×
[329564871249593668667249395094416901996471758236926221167224129663447793520709973593996573563046681362276078528176003419289561378681404235031040496609719285053591310083000446819961<180>]
Free to factor
3×10223-2 = 2
(9
)2228
<224> = 2 × 7 × 17 × 367 × 6781 × 3456737 × 13754384261506043705629
<23> ×
[1065312437845142012001623027828222032828544276523660263274656518688358377519601177705460418475298247392734792137707850245458387916915241126844650402643914622341244770550225891070014982751<187>]
Free to factor
3×10224-2 = 2
(9
)2238
<225> = 2 × 41723610029775335503947170309
<29> ×
[3595086807995642853677216127434454876417108031330086965044689954936929547837800236485495912214088332448180876508230187175572699217652635694679154591578882912809848866643330100788728880424654767411<196>]
Free to factor
3×10225-2 = 2
(9
)2248
<226> = 2 × 53 × 59 × 643 × 200335493 × 251258095103520486141203819
<27> ×
14820895423684597166554373851166413901240997825704726080077886362419482070787932869298057465690127741811900533979964874154488659119626747625501384899779076317440621408877063750609799077<185>
3×10226-2 = 2
(9
)2258
<227> = 2 × 811 × 432437 × 57673360639291
<14> ×
741604404461997152813283942141259854562838919888461435344087583849361351043647561124766797032170981626106781518267021013392697756576852705487611980211169442694743511971440513168569052347243142622078971627<204>
3×10227-2 = 2
(9
)2268
<228> = 2 × 28445771 × 6289378981
<10> × 69249654319818561660873479
<26> ×
[12107324285703399154864213227952060337064785831898562587120112572787138221188256533069772489803434113238442338322394131833568679311276727281362622440217179467469683003470111236687816031<185>]
Free to factor
3×10228-2 = 2
(9
)2278
<229> = 2 × 19 × 307 × 1129 × 57757079 ×
[3943665939343001592872037694982801518029695246740728078663410870560616550020588424644352829336833834085692441217426201219795238705144384312729168441412623262875648239376090385132437729419726398526279613055111392233<214>]
Free to factor
3×10229-2 = 2
(9
)2288
<230> = 2 × 7 × 14594513 × 53176451 × 15722429579
<11> × 28276687168428371
<17> × 740670950201567184798739987
<27> ×
[8385148634655722534292166663774780523313103805595453552582583916657130879533353584174659005658003729032280477465313132369865034688635070396349684118742803306033<160>]
Free to factor
3×10230-2 = 2
(9
)2298
<231> = 2 × 23
2 × 71 × 31607 × 294479 ×
[429081343930728822405512452341099965435825474213543349300241191537831975227832759155899246012652580224296667988947260241297660664506510302214395058182599752454203207099446446159001765480289737410566325082192933475137<216>]
Free to factor
3×10231-2 = 2
(9
)2308
<232> = 2 × 67003 × 672249847 × 766954747373
<12> × 9375236523316052322200805703294081
<34> ×
4631421693458425768323152870794447093695849235300704091351070359494788214320132751998139065654643839819920260583191389322014401835153394476879426151354637856970010346904103<172> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2139618685 for P34 x P172 /
May 27, 2022 2022 年 5 月 27 日)
3×10232-2 = 2
(9
)2318
<233> = 2 × 2473 × 149897119936147
<15> × 184213589860206424578649
<24> ×
219660611454130691395191778225449543024527015078365507078168267866867592346061784449729857404662561468365725131050942509701819617033803316229986527223283103632668139206311298469864761423834021<192>
3×10233-2 = 2
(9
)2328
<234> = 2 × 4941487 × 36458563 × 67103323327
<11> ×
12407664033267773144608839246544555131648960568136521751701992971086287042370380896371954922434972221700948251047838762743063030250691321179406322721426063952591594324031798484640161376365424329528508963015877<209>
3×10234-2 = 2
(9
)2338
<235> = 2 × 174307127 × 256559477 × 46195533589343
<14> × 244368920177195165536662828557
<30> ×
2971269842991252910086307882396286870225006852290305664302195901844065938960954513196147667843743421550792244257579564750610326437094938485586822448582750736031683446182241431<175> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2902692103 for P30 x P175 /
May 27, 2022 2022 年 5 月 27 日)
3×10235-2 = 2
(9
)2348
<236> = 2 × 7 × 4345031 × 158231566133
<12> × 121189251137276553469877
<24> × 384651810819499870694269
<24> × 2813013936306426969352165404237642667
<37> × 5300518463724071995668195353995144249
<37> × 9775376352360291121810639895502598788084487
<43> × 458724153348537332112692564610548618116625577497452183
<54> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3341342196 for P37 /
May 27, 2022 2022 年 5 月 27 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1485683562 for P37 /
June 3, 2022 2022 年 6 月 3 日) (Eric Jeancolas / cado-nfs-3.0.0 for P43 x P54 /
June 3, 2022 2022 年 6 月 3 日)
3×10236-2 = 2
(9
)2358
<237> = 2 × 29 × 6004422043531
<13> × 3641313595265117709772303531
<28> × 4780295908600831226115438258191
<31> ×
49489057946082945029729032159220178683327591451552913954929099327359607542077165103194797039424180724752266405492671292327516749785073559079960556510613249017930381<164> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3348564941 for P31 x P164 /
May 27, 2022 2022 年 5 月 27 日)
3×10237-2 = 2
(9
)2368
<238> = 2 × 1774973 × 140831413215985962557592899
<27> ×
6000673131263907101093936210186278743611088775028950874444305007812084340856760278553612125329944551384831103059686547452665680589322067500240799566863827225894391381275178831057613013028118965456210969337<205>
3×10238-2 = 2
(9
)2378
<239> = 2 × 53 × 1277 × 1777 ×
[124720276324922827042485554710515632950787698759325096013618190342548146828392058720767240559812115389170872657047501721077453145772551772779412227760476904394849029306662439924217631993152158396214317227536105127286312863457230927<231>]
Free to factor
3×10239-2 = 2
(9
)2388
<240> = 2 × 17 × 85659179 × 6298662829
<10> × 23182505725429
<14> ×
705439369681376916294383386489621702216033181702988407038199862422848706570147625270528471656008992228045615135983886267353532411063943710651045816834980665611951730024234068769759271446407467581554808513373<207>
3×10240-2 = 2
(9
)2398
<241> = 2 × 3969571 × 418930540284472631
<18> × 110039269638667465955937422057491
<33> ×
[8197057166018589793734433110769978863923524362362328504469181349367189344907516058741109932748368804573047746901350538782950604126287034395415869215583875500851485845343037830614110689<184>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:922819442 for P33 /
May 27, 2022 2022 年 5 月 27 日)
Free to factor
3×10241-2 = 2
(9
)2408
<242> = 2 × 7
2 × 67 × 541 × 3779 × 55243 × 577483 × 14422439 × 2229113146347487737661
<22> × 2264232376154878294259433917
<28> × 8746601549859388153958726877713989
<34> × 3277369644900790282443946536248494106651
<40> × 33571687396910326040556153255496903337568757005959145749022315923135939085334887812952312179
<92> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2745790680 for P34, B1=1000000, sigma=1:323340209 for P40 x P92 /
May 27, 2022 2022 年 5 月 27 日)
3×10242-2 = 2
(9
)2418
<243> = 2 × 43 × 47 × 433 × 154157 × 277777897 ×
4002912652652337156337852469624666496560960494556283530706317007047873067110903769415719347323427760702408058334245520427576992938742556744555875753037599486507844520087563586909958113198289142269692558836514485384678572567<223>
3×10243-2 = 2
(9
)2428
<244> = 2 × 22013 ×
[68141552718847953482033343933130422931903874982964611820288011629491664016717394267024031254258847044927997092627083995820651433243992186435288238768000726843229001044837141689001953391177940307999818289192749738790714577749511652205514923<239>]
Free to factor
3×10244-2 = 2
(9
)2438
<245> = 2 × 4871 × 975263757822143555963371
<24> ×
[3157555871700679641034765808282792255271657030833948487982583905859451919775715780645368421325955054472262575474842525133760180001427616447640380089338504188581068150558706216774919630965790522684302440700694304144539<217>]
Free to factor
3×10245-2 = 2
(9
)2448
<246> = 2 × 61 × 181 × 82963385993
<11> × 3372395105939
<13> ×
[48557680157763961890590829283188559829959430430171650789541196668968228449471743787439950305201326940050165740896080034871560453725242763474232385738733844584875816200299668344834459675483695661423732130387118618411357<218>]
Free to factor
3×10246-2 = 2
(9
)2458
<247> = 2 × 19
2 × 211 × 7866850151
<10> ×
2503229822100523277680187499462322928356792430931556377522601428364833652632823257279775093812934556005300374827641411055739591406154418668776532730282525287282268155688003618097780686214681572574641612615725953454556959181319547419<232>
3×10247-2 = 2
(9
)2468
<248> = 2 × 7 × 6958054007999
<13> ×
307967880156392546503932444814625932921857793201260347983211343191564095787922304231837284619002770485790954773707604974358595801780603461643127525767084558201466640213429099871262535902554626977359284889891043862065267530904874001143<234>
3×10248-2 = 2
(9
)2478
<249> = 2 × 701 ×
[213980028530670470756062767475035663338088445078459343794579172610556348074179743223965763195435092724679029957203994293865905848787446504992867332382310984308131241084165477888730385164051355206847360912981455064194008559201141226818830242510699<246>]
Free to factor
3×10249-2 = 2
(9
)2488
<250> = 2 × 257 × 3257 × 6299 × 7309 × 161471 × 2496961201003
<13> ×
[96539373900298333870542276545077313779295372004587873866933396766677734589619540843767055857119810926766284091352357276343430759179288029681938086543618049786776622909726339027237495651099418434368281535993618633644997<218>]
Free to factor
3×10250-2 = 2
(9
)2498
<251> = 2 × 21383 × 3396832948997
<13> × 98549498967875971
<17> × 4292457388100195122129
<22> × 74264206606145121127573657
<26> × 5300046777065583313506206927
<28> ×
1240305793129377879259713118289607147591353087612136960409456352156069412297520466632972810409982806445255581225487453983998162026619517936449<142>
3×10251-2 = 2
(9
)2508
<252> = 2 × 53 × 241 × 1987 × 183917563 × 1266802697
<10> × 121161782107
<12> × 816632419381
<12> ×
[256375208949432307192765587082984547407220913561179991296867466578908342994185325656781392166821127287242743805776212682193539386022544768030820754242079613704603202986335441228688343676744030105202217677<204>]
Free to factor
3×10252-2 = 2
(9
)2518
<253> = 2 × 23 × 1823 × 2227729182726941
<16> × 927843069937672526447
<21> × 42212439107887011098199682441441
<32> ×
[410014659721629744202746384665203043248654751119672616791637428490008817627070031860925129803491046533163821666125197491360064435776281325624942116097057245945475080603120540586333<180>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:432287164 for P32 /
May 27, 2022 2022 年 5 月 27 日)
Free to factor
3×10253-2 = 2
(9
)2528
<254> = 2 × 7 × 463 × 2579 ×
[1794571993981244808452769078423872880176786876271080388570299187453692565171975628755216671238837313554438161980221663139933904717080341432874812212995596479241168821489018595235363500726622200363006022942526199853826129183581006202160449332114141<247>]
Free to factor
3×10254-2 = 2
(9
)2538
<255> = 2 × 409 × 29540170747
<11> ×
12415235152166966049543911852728329811644124939458409183574211014857353509802898479949092014817732541173156538279667896323264294989421511875592890271826753940740345947307249783375215931577603146027946913219876662558519526899892337227048323413<242>
3×10255-2 = 2
(9
)2548
<256> = 2 × 17 × 585251 × 1168312630580269
<16> ×
129044976058935574794376485346469301220968957422248543844406651893388965231110267404816039601406226827448431861947042182796723133787045657232279723445742615533302143458674167320858605165129730479915624772648622010720969244590539537113<234>
3×10256-2 = 2
(9
)2558
<257> = 2 × 4789104049
<10> ×
[3132109857402682628581160734768575498953416035918746855357788030384887551228895841431738331396608167533258787211620258534917456749539082732925604891154036398761066049245905619704776641824012289276532275233513098391235224549200434379620637889381551<247>]
Free to factor
3×10257-2 = 2
(9
)2568
<258> = 2 × 163 × 48611 ×
[18930805759457862108768080339310714217653531674330067180381425446763860788912302789908567994342970417587071925577197112471576972719320641532193791377219905161711359985299598300922321477137960013847253386184777537160225165527810426406303302049966473543<251>]
Free to factor
3×10258-2 = 2
(9
)2578
<259> = 2 × 317 × 24413 × 3510821167606855583579299
<25> ×
55208015655462721553582889004622305672068881442764243922991358603507415015614333977061362333390098997784945081542790807896193726333211375731201114988893210202758653465357977961561745712043486205046261232607956089535491099532781<227>
3×10259-2 = 2
(9
)2588
<260> = 2 × 7 × 229 × 123974819122045007707
<21> × 97125420483654526209597447829
<29> ×
[777125824903310591398323974605843589858104275574922256211990151684148193329422410008869035757118168716079215303164040914411330115901706479130469587377540870627571031236337113785730565667896386703099793952211<207>]
Free to factor
3×10260-2 = 2
(9
)2598
<261> = 2 × 64395831396402977087
<20> × 2276294748383873683919
<22> ×
[1023304792284528077392075615976989278856637856173463896221591795107257116910534342667508284864854358067702038774911833371818683988622241353024025388422233112593165864095923803858922049078892729140241653018005466668902383<220>]
Free to factor
3×10261-2 = 2
(9
)2608
<262> = 2 × 311 × 430875773 × 145086841647491
<15> × 79596696869687993
<17> ×
969294441140344258530178868876237875568707167712947965160994336549038218257646140515668765709577131361497895357391866542546323857531130748656428690626826017977512710983252929251603957822202247575128141380089774288297991<219>
3×10262-2 = 2
(9
)2618
<263> = 2 × 191 × 54530327 × 458309822145581611
<18> × 607251136997143845719918729625305549
<36> ×
[5174784734828930595852878216758001912318390374536780154504142054117625181155801171350181544320685064960317975014125697647545659400071411151589282441965073991403217685057152710316919703154862741954313<199>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3982905651 for P36 /
May 27, 2022 2022 年 5 月 27 日)
Free to factor
3×10263-2 = 2
(9
)2628
<264> = 2 × 43 × 491 × 3215257944003533
<16> × 3142091370054987503380846799
<28> ×
[703245046101606227542116820063601451835583620691779091471484390436315944536099508637797609976464659210197257292424846960267232018530351132302867241039553678360824277493828726343669887114640422270351299459216396787069<216>]
Free to factor
3×10264-2 = 2
(9
)2638
<265> = 2 × 19 × 29 × 53 × 21581662972810097327
<20> × 81310538730217269071
<20> ×
29270628378601141196631790924552989246038826546893576636908049797612129309178479087762906281780408355361864752752261815892312823287063502951364835159193469193755033437567243656072792512490850081512754257737079571678328549<221>
3×10265-2 = 2
(9
)2648
<266> = 2 × 7 × 71 × 38707 × 64877 × 380269 × 752987520193021
<15> × 46030777099955407
<17> ×
911858793840563739423957103873771705960391589966760885973970354926952934993209071457661946053020462164435198590681446569570533670824101726732992494200171625165462963309807968301257564341560217863734046584391101000671<216>
3×10266-2 = 2
(9
)2658
<267> = 2 × 5744536641851467
<16> × 564467628266775311583772428341
<30> ×
[46259103781004979352895750790963707007040599109434672439656440876536380705624805318440265590753068658937901597628162731444808323493332649375509554154469418605097250015748246665786029751660406355168217322293078158413865417<221>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:70136848 for P30 /
May 27, 2022 2022 年 5 月 27 日)
Free to factor
3×10267-2 = 2
(9
)2668
<268> = 2 × 599 × 2393 × 3671 × 10441147 × 150675729010817
<15> × 1594992693047575499
<19> × 603108106716149283020595353
<27> ×
188361429648719888994263151885264235560817546654303058093302714867122870445616680178499779080926536191261633514267288303577024708907201347002438684515511868775719394756976602116902241984308039<192>
3×10268-2 = 2
(9
)2678
<269> = 2 × 7186460453
<10> ×
[2087258407403915341632229253429386401161066822056579958473195260481871046622734403294711903704397940280434741578337883326831131453524746753379232712518761842270169937857167249341572352488947871762538731387909301836660367968770898348670005545496320565364140883<259>]
Free to factor
3×10269-2 = 2
(9
)2688
<270> = 2 × 28600196693917258635010267
<26> ×
[5244719174672748676289234793260955372048408845641100469739363742130709241748566166121204766270711743272816326450703010426528039565119460587033640600696345099841639612047648848599866863449793661491506164095093552589838308772759175951026405172397<244>]
Free to factor
3×10270-2 = 2
(9
)2698
<271> = 2 × 461 × 176299 × 43815918869
<11> ×
[421219589924178157987065894010713707487900529466095823847463974153250538169351096796486465464039476263075840342871818020970874786484097493830891175811072774232336616724789348790070187299847359490005989757579855313553804117154344112049366030595525338989<252>]
Free to factor
3×10271-2 = 2
(9
)2708
<272> = 2 × 7 × 17 × 1094150897902553
<16> × 610964526682594618823396111
<27> × 3526622026669160824589126928911
<31> ×
[53467781613997208450932093900272047512632004305846457223523662116728103866856741754035621749458916793810762491762449770494712607450891485682740254752685581330474863333928991751418708642101385622017<197>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:114742361 for P31 /
May 27, 2022 2022 年 5 月 27 日)
Free to factor
3×10272-2 = 2
(9
)2718
<273> = 2 × 449261 × 10390291 × 126614429 × 101235379603
<12> × 7595649004417
<13> × 2237032695221777648729130239988523
<34> ×
[147540786039738535177426467330476310295029451200680216451516796724970772113876284042607919902376006639673298477471289602336016240104887930205049704425175966730675914184342436578459090537898431997<195>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2805654588 for P34 /
May 27, 2022 2022 年 5 月 27 日)
Free to factor
3×10273-2 = 2
(9
)2728
<274> = 2 × 4157 × 12547 × 59190497 × 989249089 × 3958670747633033
<16> × 6653204764948283948642878493235557
<34> ×
[18648049751096134091543987852268260510131961442743971907873011971100231805560071970922522132330471125356909020071111681335750075126981142026902371069421873610091081381790799539681262840283127653491197<200>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:450730786 for P34 /
May 27, 2022 2022 年 5 月 27 日)
Free to factor
3×10274-2 = 2
(9
)2738
<275> = 2 × 23 × 67 × 167 × 4987 × 49613 ×
235579389625593107093090833856886058876174996024413428177781323828032734497261618633478583123926486111289669774844532386322702870688426051099296412950733729759846446348660676313952053671624437272539989312446386308967824315854378805652508139837676926398315600107<261>
3×10275-2 = 2
(9
)2748
<276> = 2 × 4337 × 11295396061
<11> ×
3061966065697846610312639119495437189801562827244801765414255464569609371396207098904037202941720945221778708661883940734184946658807834865077816655357157339398885598502770675020842873108325366930049507678809123119770542887133951146044053458582809115446125781307<262>
3×10276-2 = 2
(9
)2758
<277> = 2 × 97 × 211 × 293 × 8693 × 9049 × 40952052599514913
<17> ×
[77646790124554184092625238888370242341236122981383411104516119163103495233850703892709999005494703809567079579332808314677769016029360819001365477281323273476035452491520170210994856816402639007636849186402188733718894628305582615250877711048869<245>]
Free to factor
3×10277-2 = 2
(9
)2768
<278> = 2 × 7 × 53 × 1789 × 154211 × 427789 ×
[342580029449791651648798576933736902237465249222874439272227776379053524829467447231457942566025569828582632051430477652842430691999469770013368792915126514822890061105497209059691522670576982057428808705545223687092050550978164296100256328220634103620763072399<261>]
Free to factor
3×10278-2 = 2
(9
)2778
<279> = 2 × 379 × 5237 ×
[75573489424497801567192641358952410366062868074382451231167716214493685331135320378693717273530183799764513006953264850316627729525504289299348103080224281963681396275637676508182341699990376975679947279933777470333626726413387994798528634543231310802021137401168769205113<272>]
Free to factor
3×10279-2 = 2
(9
)2788
<280> = 2 × 4517 × 168221448774667
<15> × 2493715032175193
<16> ×
791613106963290779704540049838795475570619698264682015500894640963329783084067680172249059879276318996365262516146474941557205313987292244161258136446154392039193640750526680455878753811414798470682456564730161978865093783586177665631109042523137<246>
3×10280-2 = 2
(9
)2798
<281> = 2 × 6547 × 12503 × 1486058597
<10> × 30248169641857
<14> × 221490486009949229
<18> × 495993210036105167
<18> × 52133875336922939083
<20> ×
711785007331977572018710042137157683212965581743913592135654910770959045126985998888610918704954287264944512167208165717065813162493661294257316918314382090384473236577259988745594850682451396839<195>
3×10281-2 = 2
(9
)2808
<282> = 2 × 109 × 241 × 802351791487
<12> × 55481124216359
<14> × 67020968731188687893
<20> × 20247498889861686184201
<23> × 926849687312323868868012334446787
<33> × 8831134763052551225807420065813686259604793353
<46> ×
11548610513487029129073008866855376958359876915984675356660234927955169120298393775913775822714242153474406245990577766429567895469<131> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1111697133 for P33 /
May 27, 2022 2022 年 5 月 27 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=42840000 for P46 x P131 /
July 31, 2023 2023 年 7 月 31 日)
3×10282-2 = 2
(9
)2818
<283> = 2 × 19 × 1475148590567
<13> × 15840512803337471
<17> × 3705657419439650933
<19> ×
[911732393520720225636971733692904609559909397483885369709295329284145823349787017601251661570004363398597557886066995261025935274946872594159339084538693966226973352048292458364146434535438079134532198983279868325005583542159516030041<234>]
Free to factor
3×10283-2 = 2
(9
)2828
<284> = 2 × 7
3 × 59 × 3405442524361
<13> ×
[217656465549885326995822024544523140949407819810461540448542757593711005907861136635266368116193198188128300869363925717185116565808080378838047090362180970179410727495210034773058075224705870928390107652885635316501637124401058029236861694563107225078586743990254307<267>]
Free to factor
3×10284-2 = 2
(9
)2838
<285> = 2 × 43 × 585979994548989814219
<21> ×
5953056632433578200416501772224257197863779415840574308214864957146009552444711334803124625327007936750440355566695797274630719353337663407731702017291379668422252934792449437405006215705425698460673264943547925100926828057162422158859261737394844930104554540247<262>
3×10285-2 = 2
(9
)2848
<286> = 2 × 42533 ×
35266734065313991488961512237556720663955046669644746432182070392401194366727011967178426163214445254273152610913878635412503232783955987115886488138621776032727529212611384101756283356452636776150283309430324689064961324148308372322667105541579479463005195965485622928079373662803<281>
3×10286-2 = 2
(9
)2858
<287> = 2 × 283 × 717107161 × 177630435507558852706183633
<27> ×
[416105430367640135062193694478124174205367562806143472795779413951774803831579124425086613628673603357698095954919704133292471868600909008311195818218490963464319863339373615135191527157005824697674282091470764573460255417967742471950933769831199781<249>]
Free to factor
3×10287-2 = 2
(9
)2868
<288> = 2 × 17 ×
[8823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647<286>]
Free to factor
3×10288-2 = 2
(9
)2878
<289> = 2 × 47 × 269 × 2203 × 447092480663
<12> ×
[120456227640830288433656753771604638172680457631977670306550193532366484210338341349180682826100772506359228632034623376708875834368929465329165473453852902973892813282445487265915125319327138330224594616160262183114010825660157865228042320078670235119596015202308639337<270>]
Free to factor
3×10289-2 = 2
(9
)2888
<290> = 2 × 7 × 8329 × 7672740455834777693
<19> × 411728533114513473065439703
<27> ×
[81440209895930992596234330143083077452937017372115862968913587145581704137717903882711046600393861960274171009203572577942484681434366987661721158965965544445430322321977072868075035642395957547418735055059066018647704877687800749408351827<239>]
Free to factor
3×10290-2 = 2
(9
)2898
<291> = 2 × 53 × 787 × 14785387 ×
[243224859194678400131858181446770223357550764928423180203784652276921564626090114732042410669665770021783516923667573064077540573104648969674395564798453165662335583203300021441052738408540408430122310917056512772339953197963382500551790370184245136465699138134308782382373650707<279>]
Free to factor
3×10291-2 = 2
(9
)2908
<292> = 2 × 709 × 688838122373144695054761303257
<30> ×
[3071339672702483498649824283083462128260058224661618452711304025188682620848842359957447633189572838259312977580512934618884729580261057839692461286381785733085316912529016410450980285979478786648852108381377859106457420759218919322028507520454674019654903723<259>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2556999343 for P30 /
May 27, 2022 2022 年 5 月 27 日)
Free to factor
3×10292-2 = 2
(9
)2918
<293> = 2 × 29 × 197 × 359 × 14401 × 7648666612670323
<16> × 20187347039871383
<17> × 30921362363043743
<17> ×
[106369308348236547840580682571267305022318798218268920673157333869471048462462032939272240373825694358422113164247043537635069279726593112542377678688228229484614976716058482236959185654977347192713752453877141613490651986245069599531<234>]
Free to factor
3×10293-2 = 2
(9
)2928
<294> = 2 × 13001947139095741
<17> ×
[11536733567310303274994121190462162502959239426869675681891885161319912440752315095457482970193285072311408410033209984073833146424299359761317297184336116123804714378341606395659043008363765011561184503138143441000268091369540933546183430724787447711756008006688817844564812139<278>]
Free to factor
3×10294-2 = 2
(9
)2938
<295> = 2 × 129461 × 252391690578067
<15> ×
45906824140755288331433845066844861531482775218571895198273445438425439667930501249071140440259860451719822378414130842364796404468551212711119826045015457819605737356801112448989442750558322190778114620944317626156307083523055537346932476082753253806898139235343348586888177<275>
3×10295-2 = 2
(9
)2948
<296> = 2 × 7 × 617 × 1799139672971
<13> × 13750993791095471
<17> × 6753065242382119064347980480566891
<34> ×
20787781493698408066762038823680287443047529053150534424075626430451316238256574719407192972226565042208728994812113615133838189813669293606739634633565176501938981773624931383475897161421253371926112674128700792791876334231093191<230> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:18890117 for P34 x P230 /
May 27, 2022 2022 年 5 月 27 日)
3×10296-2 = 2
(9
)2958
<297> = 2 × 23 × 167759 × 2445721 × 26921808101
<11> ×
[590427337304092417781648458580373419615583566443764853046433133060738965627883961244536234997682995129712852639984989560374513950548128193296208326236634826519935319881261679015865189997517122503282806240891240953198844886838586170668373879052993062172061740347947362246467<273>]
Free to factor
3×10297-2 = 2
(9
)2968
<298> = 2 × 1567 × 7485529 × 149374623977
<12> ×
[856096931331608455652074059481543892097818285958828885257070089668317994852231494461984993365759339868245027213973734642808775715586898675653944302771615328611139803227541619735786113189063866378556593476898311884553241347329611687757205154814874723195169524089135762264146209<276>]
Free to factor
3×10298-2 = 2
(9
)2978
<299> = 2 × 149 × 30091 × 278530976237
<12> ×
[12011434258069082637048762735575815562025729500051415819699881211298300339002751602424629552315370369164543314147631037934989083260397934596426624347754631192638237903203938835107696789018573630749518640663441367096082994040164937953587998589850795176417041115786223299510025319853<281>]
Free to factor
3×10299-2 = 2
(9
)2988
<300> = 2 × 733603860269937301
<18> × 18371455606956532086981137
<26> ×
11129767278776023674332533217405718343290289071791028111288203653574469636513068332954245949385852158797392123011526766025983919121990990546032585385189875135309937436834156450364641637501872097749256099210001354301378415601528272043449919984608335511031827<257>
3×10300-2 = 2
(9
)2998
<301> = 2 × 19 × 71 ×
1111934766493699036323202372127501853224610822831727205337286879169755374351371386212008895478131949592290585618977020014825796886582653817642698295033358042994810971089696071163825055596738324684951816160118606375092661230541141586360266864343958487768717568569310600444773906597479614529280948851<298>