Table of contents 目次

  1. About 322...226 322...226 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
  2. Prime numbers of the form 322...226 322...226 の形の素数
    1. Last updated 最終更新日
    2. Known (probable) prime numbers 既知の (おそらく) 素数
  3. Factor table of 322...226 322...226 の素因数分解表
    1. Last updated 最終更新日
    2. Range of factorization 分解範囲
    3. Terms that have not been factored yet まだ分解されていない項
    4. Factor table 素因数分解表

1. About 322...226 322...226 について

1.1. Classification 分類

Quasi-repdigit of the form ABB...BBC ABB...BBC の形のクワージレプディジット (Quasi-repdigit)

1.2. Sequence 数列

32w6 = { 36, 326, 3226, 32226, 322226, 3222226, 32222226, 322222226, 3222222226, 32222222226, … }

1.3. General term 一般項

29×10n+349 (1≤n)

2. Prime numbers of the form 322...226 322...226 の形の素数

2.1. Last updated 最終更新日

June 12, 2022 2022 年 6 月 12 日

2.2. Known (probable) prime numbers 既知の (おそらく) 素数

No prime number of the form 322...226 exists. 322...226 の形の素数は存在しません。

3. Factor table of 322...226 322...226 の素因数分解表

3.1. Last updated 最終更新日

November 7, 2022 2022 年 11 月 7 日

3.2. Range of factorization 分解範囲

3.3. Terms that have not been factored yet まだ分解されていない項

n=192, 195, 204, 205, 206, 207, 208, 210, 212, 214, 215, 216, 217, 222, 227, 228, 229, 230, 231, 232, 234, 235, 236, 239, 241, 242, 243, 245, 247, 248, 249, 250, 252, 254, 255, 257, 258, 261, 262, 263, 265, 266, 267, 269, 271, 273, 274, 276, 277, 278, 282, 284, 285, 287, 288, 289, 291, 292, 293, 295, 296, 297, 298, 299, 300 (65/300)

3.4. Factor table 素因数分解表

29×101+349 = 36 = 22 × 32
29×102+349 = 326 = 2 × 163
29×103+349 = 3226 = 2 × 1613
29×104+349 = 32226 = 2 × 3 × 41 × 131
29×105+349 = 322226 = 2 × 367 × 439
29×106+349 = 3222226 = 2 × 7 × 47 × 59 × 83
29×107+349 = 32222226 = 2 × 3 × 5370371
29×108+349 = 322222226 = 2 × 23 × 881 × 7951
29×109+349 = 3222222226<10> = 2 × 41 × 173 × 197 × 1153
29×1010+349 = 32222222226<11> = 2 × 33 × 97 × 229 × 26863
29×1011+349 = 322222222226<12> = 2 × 161111111113<12>
29×1012+349 = 3222222222226<13> = 2 × 7 × 211 × 1567 × 696107
29×1013+349 = 32222222222226<14> = 2 × 3 × 71 × 157 × 481777193
29×1014+349 = 322222222222226<15> = 2 × 41 × 181 × 14281 × 1520213
29×1015+349 = 3222222222222226<16> = 2 × 19 × 904781 × 93719167
29×1016+349 = 32222222222222226<17> = 2 × 3 × 7459 × 719985302369<12>
29×1017+349 = 322222222222222226<18> = 2 × 7963 × 20232464035051<14>
29×1018+349 = 3222222222222222226<19> = 2 × 7 × 90930787 × 2531141957<10>
29×1019+349 = 32222222222222222226<20> = 2 × 32 × 41 × 56131 × 688201 × 1130267
29×1020+349 = 322222222222222222226<21> = 2 × 161111111111111111113<21>
29×1021+349 = 3222222222222222222226<22> = 2 × 1611111111111111111113<22>
29×1022+349 = 32222222222222222222226<23> = 2 × 3 × 3389 × 27743 × 57118822690273<14>
29×1023+349 = 322222222222222222222226<24> = 2 × 541 × 980081 × 303854909436653<15>
29×1024+349 = 3222222222222222222222226<25> = 2 × 7 × 41 × 67 × 827 × 137771 × 735369262741<12>
29×1025+349 = 32222222222222222222222226<26> = 2 × 3 × 5370370370370370370370371<25>
29×1026+349 = 322222222222222222222222226<27> = 2 × 1883501 × 1267479023<10> × 67486803331<11>
29×1027+349 = 3222222222222222222222222226<28> = 2 × 235370329 × 2328226577<10> × 2940008161<10>
29×1028+349 = 32222222222222222222222222226<29> = 2 × 32 × 3677 × 4201 × 41411 × 258211 × 10837926821<11>
29×1029+349 = 322222222222222222222222222226<30> = 2 × 41 × 6833 × 32003 × 17969646090744090107<20>
29×1030+349 = 3222222222222222222222222222226<31> = 2 × 72 × 23 × 3499 × 408561683389096367782381<24>
29×1031+349 = 32222222222222222222222222222226<32> = 2 × 3 × 5370370370370370370370370370371<31>
29×1032+349 = 322222222222222222222222222222226<33> = 2 × 7265236679<10> × 22175617702421048836847<23>
29×1033+349 = 3222222222222222222222222222222226<34> = 2 × 19 × 30655902941<11> × 2766035689786172871247<22>
29×1034+349 = 32222222222222222222222222222222226<35> = 2 × 3 × 41 × 193 × 3271 × 207483004484003926774691677<27>
29×1035+349 = 322222222222222222222222222222222226<36> = 2 × 147853 × 81436152117799<14> × 13380677604560779<17>
29×1036+349 = 3222222222222222222222222222222222226<37> = 2 × 7 × 413111 × 542769303353593<15> × 1026468002014033<16>
29×1037+349 = 32222222222222222222222222222222222226<38> = 2 × 33 × 96757 × 85734287 × 2046557033<10> × 35148026231177<14>
29×1038+349 = 322222222222222222222222222222222222226<39> = 2 × 461 × 349481802844058809351651000241021933<36>
29×1039+349 = 3222222222222222222222222222222222222226<40> = 2 × 41 × 39295392953929539295392953929539295393<38>
29×1040+349 = 32222222222222222222222222222222222222226<41> = 2 × 3 × 127 × 79111 × 16019726327491<14> × 33366338419427692873<20>
29×1041+349 = 322222222222222222222222222222222222222226<42> = 2 × 61 × 3749378529425539<16> × 704427609853657659285247<24>
29×1042+349 = 3222222222222222222222222222222222222222226<43> = 2 × 7 × 211 × 809 × 41108825563126099<17> × 32799060677557151359<20>
29×1043+349 = 32222222222222222222222222222222222222222226<44> = 2 × 3 × 359 × 601 × 47381 × 525328660056903767910402904623449<33>
29×1044+349 = 322222222222222222222222222222222222222222226<45> = 2 × 41 × 431 × 941 × 1187 × 26557 × 307358345658348695136630721837<30>
29×1045+349 = 3222222222222222222222222222222222222222222226<46> = 2 × 293 × 7727 × 691931 × 1028452342791707511765645447285793<34>
29×1046+349 = 32222222222222222222222222222222222222222222226<47> = 2 × 32 × 10728791 × 10157234894623<14> × 16426941184093742005712249<26>
29×1047+349 = 322222222222222222222222222222222222222222222226<48> = 2 × 83 × 52733 × 21020803 × 73152739433573<14> × 23937843578345204993<20>
29×1048+349 = 3222222222222222222222222222222222222222222222226<49> = 2 × 7 × 71 × 1283 × 118061813190688471267<21> × 21400947364483319434289<23>
29×1049+349 = 32222222222222222222222222222222222222222222222226<50> = 2 × 3 × 41 × 29537 × 4434595361064601380798428403870771731833963<43>
29×1050+349 = 322222222222222222222222222222222222222222222222226<51> = 2 × 109 × 1637 × 25607291296685921<17> × 35260354444568423542999323241<29>
29×1051+349 = 3(2)506<52> = 2 × 19 × 2647 × 17977 × 249727 × 122887217 × 236445761 × 245582259492516385667<21>
29×1052+349 = 3(2)516<53> = 2 × 3 × 232 × 47 × 173 × 13668987241772615867<20> × 91341526828367060154510787<26>
29×1053+349 = 3(2)526<54> = 2 × 1154973210497<13> × 18353523859428243737<20> × 7600359256356920304817<22>
29×1054+349 = 3(2)536<55> = 2 × 7 × 41 × 637607249 × 8804209132896914480028117463428671946552551<43>
29×1055+349 = 3(2)546<56> = 2 × 32 × 79172633 × 832943943361<12> × 27145142163078722416013703176123689<35>
29×1056+349 = 3(2)556<57> = 2 × 719 × 507919 × 348804734611986127<18> × 1264793928237550486850013859079<31>
29×1057+349 = 3(2)566<58> = 2 × 67 × 35381 × 600901898537<12> × 95934200330694389<17> × 11789721619470853768483<23>
29×1058+349 = 3(2)576<59> = 2 × 3 × 1525637 × 2129019719811611506457<22> × 1653382517821674735077601830719<31>
29×1059+349 = 3(2)586<60> = 2 × 41 × 132241649 × 448424715916757<15> × 2461416230054933<16> × 26921470515234965497<20>
29×1060+349 = 3(2)596<61> = 2 × 7 × 999631 × 165917461 × 27554492668920977741<20> × 50362029676094680941044689<26>
29×1061+349 = 3(2)606<62> = 2 × 3 × 746791 × 10965124997<11> × 28897761727<11> × 22694852792312987471821513573332799<35>
29×1062+349 = 3(2)616<63> = 2 × 146389 × 30542441 × 52077360191<11> × 691933477593635916338854435948968951907<39>
29×1063+349 = 3(2)626<64> = 2 × 408514524586014654133<21> × 3943828221882191830479089853120985003573061<43>
29×1064+349 = 3(2)636<65> = 2 × 36 × 41 × 59 × 217614037 × 41983166412478372332114936592809550273042349554399<50>
29×1065+349 = 3(2)646<66> = 2 × 673 × 3391 × 70596413595077570122078726491333413861932013511471941552791<59>
29×1066+349 = 3(2)656<67> = 2 × 7 × 9603173 × 23966946149853820058241034516271877923073835091665031831683<59>
29×1067+349 = 3(2)666<68> = 2 × 3 × 149 × 5876341942377802535791329646747<31> × 6133535882865113787337856340412757<34> (Eric Jeancolas / ECM for P31 x P34 / June 7, 2022 2022 年 6 月 7 日)
29×1068+349 = 3(2)676<69> = 2 × 121586651 × 114109195779528869<18> × 11612318843142860607523102072375946350813327<44>
29×1069+349 = 3(2)686<70> = 2 × 19 × 41 × 3056257439<10> × 64532570717341<14> × 5770249180722827<16> × 1817291384109033462844342939<28>
29×1070+349 = 3(2)696<71> = 2 × 3 × 3361 × 321187 × 4974824524977870686200793570565905512095105958497473770159553<61>
29×1071+349 = 3(2)706<72> = 2 × 1867 × 10632026751847740774730463<26> × 8116431246872694410155593193440544606930853<43>
29×1072+349 = 3(2)716<73> = 2 × 72 × 211 × 16963 × 20741583253<11> × 224939347211982644707835953<27> × 1968960306019942930138365101<28>
29×1073+349 = 3(2)726<74> = 2 × 32 × 1201 × 251033 × 24229635901147<14> × 245054268496712078707257394914825955627234846026107<51>
29×1074+349 = 3(2)736<75> = 2 × 23 × 41 × 616423901 × 23389575932738112431035441997<29> × 11849826254638096731467130574987903<35>
29×1075+349 = 3(2)746<76> = 2 × 25793 × 22653257612672532269391280300829<32> × 2757356823551151924513930220433696932829<40> (Eric Jeancolas / ECM for P32 x P40 / June 7, 2022 2022 年 6 月 7 日)
29×1076+349 = 3(2)756<77> = 2 × 3 × 5370370370370370370370370370370370370370370370370370370370370370370370370371<76>
29×1077+349 = 3(2)766<78> = 2 × 2718657047896185693847752884393<31> × 59261285359911744312238337474681536721089707041<47> (Eric Jeancolas / ECM for P31 x P47 / June 7, 2022 2022 年 6 月 7 日)
29×1078+349 = 3(2)776<79> = 2 × 7 × 263 × 148873 × 96960583662469<14> × 6932190702039368478649<22> × 8745608691071109606252486628624261<34>
29×1079+349 = 3(2)786<80> = 2 × 3 × 41 × 6853939 × 8127621793<10> × 52653932251<11> × 44656620123496242142976317590067714302745103725003<50>
29×1080+349 = 3(2)796<81> = 2 × 113 × 152953 × 1759399 × 5298155601260433283585230383029650421215783329414271895722259654583<67>
29×1081+349 = 3(2)806<82> = 2 × 191 × 661 × 1327 × 41213 × 12953487975389583950099<23> × 18013528368176369126927127035436402576318846787<47>
29×1082+349 = 3(2)816<83> = 2 × 32 × 127 × 6769284917<10> × 2342704823617<13> × 494742322020530138618549<24> × 1796552172535259848148428614635831<34>
29×1083+349 = 3(2)826<84> = 2 × 71 × 163 × 6625264792099<13> × 9707447183512307<16> × 796653268035450073337<21> × 271707684188060693832388737941<30>
29×1084+349 = 3(2)836<85> = 2 × 7 × 41 × 10437107 × 62637849592661401<17> × 8586706538767600567463433210862457871911677211951195385557<58>
29×1085+349 = 3(2)846<86> = 2 × 3 × 7590053 × 325317049449832301<18> × 898421118931089036559<21> × 2420876600368545100893390055629844368973<40>
29×1086+349 = 3(2)856<87> = 2 × 4865477 × 33113117400639466821261535325541793972330176694106479408105538493165441150191669<80>
29×1087+349 = 3(2)866<88> = 2 × 19 × 4231 × 9479 × 958216751 × 93105361136031539<17> × 95232056724049686907123243<26> × 248854060659212754962474749<27>
29×1088+349 = 3(2)876<89> = 2 × 3 × 83 × 112247 × 6510593 × 2414348884202903<16> × 36671681871658368060128278772660803475520926810448748591649<59>
29×1089+349 = 3(2)886<90> = 2 × 41 × 4963771 × 14156526334312934365867091<26> × 36958529627928362973303119<26> × 1513068230935869890609820746927<31>
29×1090+349 = 3(2)896<91> = 2 × 7 × 67 × 1367 × 35503933 × 70779529305507242621906382562868816509173654585379914541792839682257771778207<77>
29×1091+349 = 3(2)906<92> = 2 × 33 × 157 × 1483 × 23075243 × 1126976420414434353229<22> × 98550722505006877559434331040605565769317800236440273467<56>
29×1092+349 = 3(2)916<93> = 2 × 161111111111111111111111111111111111111111111111111111111111111111111111111111111111111111113<93>
29×1093+349 = 3(2)926<94> = 2 × 4799078697937<13> × 1994553543060961<16> × 168314651313569564831314712191790778053878941827767996426486682009<66>
29×1094+349 = 3(2)936<95> = 2 × 3 × 412 × 2399 × 248134619 × 5366843320659712845848053559209105806473836083554924024690239801140019812958711<79>
29×1095+349 = 3(2)946<96> = 2 × 173 × 3463 × 268922350247807309161108783541803793882331820135088042395515784721909252245640722336560587<90>
29×1096+349 = 3(2)956<97> = 2 × 7 × 23 × 199 × 17021 × 66582089593967<14> × 16134336205201980456361280041<29> × 2750128237847855000135392234397254098305322541<46>
29×1097+349 = 3(2)966<98> = 2 × 3 × 3701 × 150169 × 684114679 × 15044754758566723<17> × 16297655600891621268503444624201<32> × 57605732870916077963187780136427<32> (Eric Jeancolas / ECM for P32(1629...) x P32(5760...) / June 7, 2022 2022 年 6 月 7 日)
29×1098+349 = 3(2)976<99> = 2 × 47 × 18211 × 6517499 × 28881042610493174731886814275257620827627794750375518998314233277680124270148716013911<86>
29×1099+349 = 3(2)986<100> = 2 × 41 × 691 × 7074257 × 248980515988722241683079147776799234598591<42> × 32286234207396029221907484351793052014637305429<47> (Eric Jeancolas / ECM for P42 x P47 / June 7, 2022 2022 年 6 月 7 日)
29×10100+349 = 3(2)996<101> = 2 × 32 × 4722283 × 25102825632530791<17> × 575023815895789126317741740222093<33> × 26261681587900346461134871544363638278409433<44> (Eric Jeancolas / ECM for P33 x P44 / June 7, 2022 2022 年 6 月 7 日)
29×10101+349 = 3(2)1006<102> = 2 × 61 × 223 × 11972263801507924601<20> × 7130092701394724068734787<25> × 138745638770525031346969237173971452822692255023433833<54>
29×10102+349 = 3(2)1016<103> = 2 × 7 × 211 × 128906578917970390645340856879299798671599865067<48> × 8461939477059977839521688643207553935355656135712607<52> (Dmitry Domanov / Msieve 1.54 snfs for P48 x P52 / June 12, 2022 2022 年 6 月 12 日)
29×10103+349 = 3(2)1026<104> = 2 × 3 × 971 × 4201 × 8075410527123847<16> × 85796155126155217<17> × 18717570138044557327<20> × 101519722509908208236565271634623871226249737<45>
29×10104+349 = 3(2)1036<105> = 2 × 41 × 6851783 × 107104601 × 148926779 × 11381871044239<14> × 920119991731680293<18> × 3433199052423625441499173874054074194405428278487<49>
29×10105+349 = 3(2)1046<106> = 2 × 19 × 7607447 × 106580207 × 133906761214949786578492873691345393<36> × 781005138272429178759463486154031509413137842257586491<54> (Eric Jeancolas / ECM for P36 x P54 / June 7, 2022 2022 年 6 月 7 日)
29×10106+349 = 3(2)1056<107> = 2 × 3 × 972 × 179 × 25576319101111<14> × 1057720608591680148591771345679149559<37> × 117868764317036496374293308832589633725977571185889<51> (Eric Jeancolas / ECM for P37 x P51 / June 7, 2022 2022 年 6 月 7 日)
29×10107+349 = 3(2)1066<108> = 2 × 197 × 3257 × 7243 × 53653 × 802303459 × 805360541808450722927704747149363134365302085212076801273326556323364999876554907177<84>
29×10108+349 = 3(2)1076<109> = 2 × 7 × 230158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730158730159<108>
29×10109+349 = 3(2)1086<110> = 2 × 32 × 41 × 2503121 × 17442843444878764148789075686596983611416809272768494901600193116865329291596502212395347665439084937<101>
29×10110+349 = 3(2)1096<111> = 2 × 2003 × 26347 × 127637 × 3451161031<10> × 4082671343981<13> × 5244445873741693<16> × 7450235121426364350420347<25> × 43446775847401457067032061139335169<35>
29×10111+349 = 3(2)1106<112> = 2 × 8543700463<10> × 188572986387843488598566884367972148921428205635714257496799968408619888095333745680628634078918212551<102>
29×10112+349 = 3(2)1116<113> = 2 × 3 × 68902497484421572071875654651413755458428794347003<50> × 77941592343362849065009534932339223537964497614113286547930457<62> (Dmitry Domanov / Msieve 1.54 snfs for P50 x P62 / June 12, 2022 2022 年 6 月 12 日)
29×10113+349 = 3(2)1126<114> = 2 × 2302229 × 1472099283953<13> × 15914475884311296806524793<26> × 2987084653972733346543529759149675054717645145223886371601026791265693<70>
29×10114+349 = 3(2)1136<115> = 2 × 73 × 41 × 167 × 25376573 × 5034338731986929<16> × 11158490912435417<17> × 123375547375053671<18> × 185004508991875450360867<24> × 21083308789444872402900876761<29>
29×10115+349 = 3(2)1146<116> = 2 × 3 × 509 × 62239183 × 36496601016652587583<20> × 3095803375455672899622991<25> × 1500364512231724355777977549210609868378623195402081032456481<61>
29×10116+349 = 3(2)1156<117> = 2 × 196848945576745516913<21> × 1164014813498746012104211980987309793483<40> × 703127190358329289416694155961167687524104174550327235947<57> (Dmitry Domanov / Msieve 1.54 snfs for P40 x P57 / June 12, 2022 2022 年 6 月 12 日)
29×10117+349 = 3(2)1166<118> = 2 × 4657 × 376899449 × 301104252490299417610135787923<30> × 3048434466405480680190894500920529111553935146610336553775436288787946227067<76> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:976757640 for P30 x P76 / June 7, 2022 2022 年 6 月 7 日)
29×10118+349 = 3(2)1176<119> = 2 × 33 × 23 × 71 × 34539061 × 2634859342180953575161<22> × 14893617147212067479063612809457577734189<41> × 269592245272217336664204147136457089929301747<45> (Eric Jeancolas / Msieve 1.53 for P41 x P45 / June 12, 2022 2022 年 6 月 12 日)
29×10119+349 = 3(2)1186<120> = 2 × 41 × 2431896997307009923<19> × 173733595784168257526322072169<30> × 49070235012794592912740094567193<32> × 189537222976484075615317458717536450123<39> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3447939683 for P30, B1=1000000, sigma=1:2332433851 for P32 x P39 / June 7, 2022 2022 年 6 月 7 日)
29×10120+349 = 3(2)1196<121> = 2 × 7 × 5113 × 85924170621074085041782775700289<32> × 523885419100189310120485396871089711587768184415068301100576563152283623832090882087<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2807522781 for P32 x P84 / June 7, 2022 2022 年 6 月 7 日)
29×10121+349 = 3(2)1206<122> = 2 × 3 × 2593 × 47156946247986623645279268892114541<35> × 3579418963373250660656018311786028084537<40> × 12269970344072231070861962256878065443331591<44> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3256500467 for P35, B1=1000000, sigma=1:3471385345 for P40 x P44 / June 7, 2022 2022 年 6 月 7 日)
29×10122+349 = 3(2)1216<123> = 2 × 59 × 15901 × 5140972927208007159556251880616748189657127169<46> × 33404403941304541552639916109295875224284132290177197159610143945450503<71> (Dmitry Domanov / Msieve 1.54 snfs for P46 x P71 / June 13, 2022 2022 年 6 月 13 日)
29×10123+349 = 3(2)1226<124> = 2 × 19 × 67 × 52183 × 2101625572753497319893144029<28> × 4214038518326560219141676291441<31> × 2738509177987417047498954790873284325129795665543312346163<58> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1917994437 for P31 / June 7, 2022 2022 年 6 月 7 日) (Ignacio Santos / Alpertron for P28 x P58 / June 12, 2022 2022 年 6 月 12 日)
29×10124+349 = 3(2)1236<125> = 2 × 3 × 41 × 127 × 1609 × 9728909 × 44396118961<11> × 68008141488209937154066784671279918236140777<44> × 21821799541407865147266887132292758070681892990433271529<56> (Dmitry Domanov / Msieve 1.54 snfs for P44 x P56 / June 13, 2022 2022 年 6 月 13 日)
29×10125+349 = 3(2)1246<126> = 2 × 117281 × 835860719014898577901437983<27> × 431491628621688866414206399718654119<36> × 3808829585325665825975290341683918633863680563661606782449<58> (Eric Jeancolas / Yafu 1.34 for P36 x P58 / June 13, 2022 2022 年 6 月 13 日)
29×10126+349 = 3(2)1256<127> = 2 × 7 × 10531307 × 4491719591087113854579737777<28> × 4865556760653046442511241404817281031988732838154659718502567410018115422441008347973567581<91>
29×10127+349 = 3(2)1266<128> = 2 × 32 × 1759 × 1408961 × 346622448850071042563631914107<30> × 4320080535352219961933571945461839811<37> × 482358174237299319243088841084998394274225021079759<51> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3068905752 for P30 / June 7, 2022 2022 年 6 月 7 日) (Ignacio Santos / Alpertron for P37 x P51 / June 12, 2022 2022 年 6 月 12 日)
29×10128+349 = 3(2)1276<129> = 2 × 797 × 10771 × 1774053103<10> × 216049937061614030747<21> × 48965521683744407783012895869467228974442023185464255112790705735408362720955485214348585139<92>
29×10129+349 = 3(2)1286<130> = 2 × 41 × 83 × 1831 × 69493 × 7026534704676488626170541876903323158042171423<46> × 529532894127688388975655142446739639328893871830054547195164219763183719<72> (Dmitry Domanov / Msieve 1.54 snfs for P46 x P72 / June 13, 2022 2022 年 6 月 13 日)
29×10130+349 = 3(2)1296<131> = 2 × 3 × 22461227 × 5083292790560027788557746230498088668677302817972840634081<58> × 47035486014048842999180381151686979053578347436894485555937161833<65> (Dmitry Domanov / Msieve 1.54 snfs for P58 x P65 / June 13, 2022 2022 年 6 月 13 日)
29×10131+349 = 3(2)1306<132> = 2 × 2087 × 83988693175894979224009417<26> × 919141170965291620326845175621876272598625559167472444803442410622822925352750145637033550450330833047<102>
29×10132+349 = 3(2)1316<133> = 2 × 7 × 211 × 242689 × 884105372816274053<18> × 2128575326510781556126427<25> × 2822255664903999933322159<25> × 366691217589428914579601201<27> × 2307836245273006468739420083549<31> (Ignacio Santos / Alpertron for P25 x P25 x P31 / June 12, 2022 2022 年 6 月 12 日)
29×10133+349 = 3(2)1326<134> = 2 × 3 × 2430563 × 8757978925780415924562525258093381593<37> × 252286179358654570610502550171781441749630369622133983560977679301000078198886334132616969<90> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4040313967 for P37 x P90 / June 7, 2022 2022 年 6 月 7 日)
29×10134+349 = 3(2)1336<135> = 2 × 41 × 131 × 983849 × 225790417 × 10734514033<11> × 214822381645513<15> × 58556413786235589476837927107962377415384546184163055451792241962338749611982973856219960379<92>
29×10135+349 = 3(2)1346<136> = 2 × 823 × 1303 × 655243 × 158475331967521522719414727066543<33> × 14468289218143107112769056617654917601974661441394084011087910948817201290712093832267643973<92> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:477349865 for P33 x P92 / June 7, 2022 2022 年 6 月 7 日)
29×10136+349 = 3(2)1356<137> = 2 × 32 × 92479 × 1736223654203<13> × 60216557156170669313<20> × 5367362670011541458212386247483575729444511<43> × 34495093540138921208396596505552119003520152951887222227<56> (Eric Jeancolas / cado-nfs-3.0.0 for P43 x P56 / June 13, 2022 2022 年 6 月 13 日)
29×10137+349 = 3(2)1366<138> = 2 × 101921329 × 4234598070561549668324233<25> × 151335679128487195509748855620929747<36> × 2466646358771292938534639742539498432658007309152632948759694153601547<70> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3237422337 for P36 x P70 / June 7, 2022 2022 年 6 月 7 日)
29×10138+349 = 3(2)1376<139> = 2 × 7 × 173 × 6563 × 9497 × 85019010944243<14> × 58969532196760629993853<23> × 4257442355745873988950015381139472587429141421081235220821835685359244056014115244921513207<91> (Florian Baur / CADO for P23 x P91 / June 14, 2022 2022 年 6 月 14 日)
29×10139+349 = 3(2)1386<140> = 2 × 3 × 41 × 95240734944281236401286013577407156724811855500857946187546549<62> × 1375300634296818287933088661001084266047126908942129116229033180092242784319<76> (Bob Backstrom / Msieve 1.54 snfs for P62 x P76 / June 13, 2022 2022 年 6 月 13 日)
29×10140+349 = 3(2)1396<141> = 2 × 23 × 61548146576011<14> × 1921079930122169081444272080974026805764486679<46> × 59243027272555997317904221103402133543694890370948856236144366954211215222186699<80> (Eric Jeancolas / cado-nfs-3.0.0 for P46 x P80 / June 18, 2022 2022 年 6 月 18 日)
29×10141+349 = 3(2)1406<142> = 2 × 19 × 313 × 983 × 3847 × 2792427245191<13> × 13330881984747827<17> × 57809170045262536665073<23> × 271224552531448673607513923180475111527<39> × 122739786646629600381031122554501456686057<42> (Eric Jeancolas / cado-nfs-3.0.0 for P23 x P39 x P42 / June 13, 2022 2022 年 6 月 13 日)
29×10142+349 = 3(2)1416<143> = 2 × 3 × 4787 × 16268653 × 15045631974786559<17> × 10600407618168925028843528900114971<35> × 432370658787739870614402225425093398373878482276725388422210742839339963560060849<81> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1417558985 for P35 x P81 / June 7, 2022 2022 年 6 月 7 日)
29×10143+349 = 3(2)1426<144> = 2 × 6335030691257243<16> × 1123244467142373238833634547533529393<37> × 22641358510283253608453205286006469711850950451532986406487653347312468255208310762506423387<92> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1990958442 for P37 x P92 / June 7, 2022 2022 年 6 月 7 日)
29×10144+349 = 3(2)1436<145> = 2 × 7 × 41 × 47 × 6803 × 542723284361<12> × 109149273808501<15> × 288724202321056623743<21> × 1026509024864300287345794982128098593252080518046166188426678251280088214103954815486601793<91>
29×10145+349 = 3(2)1446<146> = 2 × 34 × 14350226773<11> × 13860589763239814511405479691804166560075520749016818472097135894974360492483591164981418116995336030507817573722738245075052289172501<134>
29×10146+349 = 3(2)1456<147> = 2 × 49199 × 451563932182474995900423740317<30> × 7251869347175957382137679964050887729949241965027543226311313410273087916424453911924545243390000195009286967411<112> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:378976672 for P30 x P112 / June 7, 2022 2022 年 6 月 7 日)
29×10147+349 = 3(2)1466<148> = 2 × 43104819539048644574492338837<29> × 37376588704926742202584605322860660285758471803989575797425138433198884787167545776477844635719721418473028074613461349<119>
29×10148+349 = 3(2)1476<149> = 2 × 3 × 633389796475632227<18> × 2963044608062597124181<22> × 16425502454740758697883290132063661578781153<44> × 174211300172459342153731627767047245524857034359424166785111254461<66> (Erik Branger / GGNFS, Msieve snfs for P44 x P66 / June 18, 2022 2022 年 6 月 18 日)
29×10149+349 = 3(2)1486<150> = 2 × 41 × 269 × 877 × 1338180005389<13> × 12447301986710749647864191652048729941452883861589678289654673807953300460383420625849415257538466254657900382625844350308153601149<131>
29×10150+349 = 3(2)1496<151> = 2 × 7 × 218833357 × 152127700910503<15> × 230809026181313073496581717321564811<36> × 105706001034591412018490272193931064735547<42> × 283369560280043403117980128327593456098430114344437<51> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:10184002 for P36 x P42 x P51 / June 18, 2022 2022 年 6 月 18 日)
29×10151+349 = 3(2)1506<152> = 2 × 3 × 761 × 54371 × 3027909837009487269553530785191<31> × 27450889381748515239681214814348982025571141<44> × 1561539239557674168396990083650855557868609811447409084791621542856611<70> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:93932010 for P31 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P44 x P70 / June 19, 2022 2022 年 6 月 19 日)
29×10152+349 = 3(2)1516<153> = 2 × 16178321 × 1708565069<10> × 1036461216436976558662397192969005607977<40> × 5623509921961986387117540470556652615662517216495177494544949176394844823517719998999341684416981<97> (Erik Branger / GGNFS, Msieve snfs for P40 x P97 / June 18, 2022 2022 年 6 月 18 日)
29×10153+349 = 3(2)1526<154> = 2 × 71 × 268848809247121<15> × 154476969629132691058758627298953907143220453514612515617499<60> × 546380618560832136198775366491343967254877839534155809222923667095698690339757<78> (Bob Backstrom / Msieve 1.54 snfs for P60 x P78 / June 13, 2022 2022 年 6 月 13 日)
29×10154+349 = 3(2)1536<155> = 2 × 32 × 41 × 775531 × 680397343 × 4868806247<10> × 339858854489123<15> × 28801246455592740325033<23> × 93831108878454097705515434632661<32> × 18503681375915546007416637230103198576202749823719897619573<59> (Eric Jeancolas / Yafu 1.34 for P32 x P59 / June 12, 2022 2022 年 6 月 12 日)
29×10155+349 = 3(2)1546<156> = 2 × 2789 × 4970141653837<13> × 75899860914633086961648756061002320129<38> × 153132450281752404535685701913856953681622548047268869975975879591480344427308666256103340234273226729<102> (Bob Backstrom / Msieve 1.54 snfs for P38 x P102 / June 13, 2022 2022 年 6 月 13 日)
29×10156+349 = 3(2)1556<157> = 2 × 72 × 67 × 490743561106034453582427996074051511151724371340576031407587910786205029275391748739296713710359765796866010085626290317121873625071919314989677463025011<153>
29×10157+349 = 3(2)1566<158> = 2 × 3 × 3832 × 1237 × 2423 × 12214721697401764414528942107687412536431483064568604321306558913162508025163019033475642384574802418165765272999994896152753704916952868041540289<146>
29×10158+349 = 3(2)1576<159> = 2 × 109 × 2480231558234674837408531<25> × 25485804691298652435771443026532987184013<41> × 23383440721265451391093166968713079995573006269266874675012079852998476055880468064973661019<92> (Eric Jeancolas / cado-nfs-3.0.0 for P41 x P92 / June 19, 2022 2022 年 6 月 19 日)
29×10159+349 = 3(2)1586<160> = 2 × 19 × 41 × 5867 × 66802657661<11> × 8543696715881<13> × 134929050339146889461322644676433341727108931805500377<54> × 4577484887250856852415435538156425734121405254685156746619552575303397481413<76> (Eric Jeancolas / cado-nfs-3.0.0 for P54 x P76 / June 21, 2022 2022 年 6 月 21 日)
29×10160+349 = 3(2)1596<161> = 2 × 3 × 5099 × 16180586385939079286506679<26> × 13660029735734518434342972601233769686641631498444793<53> × 4765114327314012597804864170582230039574808101571913263255998614779856108073207<79> (Eric Jeancolas / cado-nfs-3.0.0 for P53 x P79 / June 21, 2022 2022 年 6 月 21 日)
29×10161+349 = 3(2)1606<162> = 2 × 61 × 811 × 791671296919220127932165097859616473213549527257<48> × 4113674307511018984833991341574682255208333309635130371423113578739795168357179291614704483192518147535667279<109> (Bob Backstrom / Msieve 1.54 snfs for P48 x P109 / June 14, 2022 2022 年 6 月 14 日)
29×10162+349 = 3(2)1616<163> = 2 × 7 × 23 × 211 × 9298819 × 68152580701<11> × 13701716887912433<17> × 559626265517244001943<21> × 44218132635727832270810884220035065151932921803549<50> × 220715881762245373482470336368045721759233166362927727<54> (Eric Jeancolas / cado-nfs-3.0.0 for P50 x P54 / June 13, 2022 2022 年 6 月 13 日)
29×10163+349 = 3(2)1626<164> = 2 × 32 × 24971 × 59529259 × 14448846286376113620230623639201<32> × 6150273102095788836787116833789986603954551379<46> × 13551550886002884049028448251898457812080290891971023284065069281901882547<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3486956440 for P32 / June 7, 2022 2022 年 6 月 7 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=26440000, sigma=1:3657073843 for P46 x P74 / June 20, 2022 2022 年 6 月 20 日)
29×10164+349 = 3(2)1636<165> = 2 × 41 × 163 × 1137881 × 16293899168629<14> × 4442366216550120741405279337527931<34> × 292696684974019199673348449925046084863597809579251686782296828628241894638079759675654765782802618336444469<108> (Bob Backstrom / GMP-ECM 7.0.4 B1=16820000, sigma=1:3166913476 for P34 x P108 / June 15, 2022 2022 年 6 月 15 日)
29×10165+349 = 3(2)1646<166> = 2 × 18524969 × 18117387779<11> × 47499122971<11> × 2264579250721<13> × 2848191601681094913731283271635879431963<40> × 15668596866610791477224831552474509066485855677358224581666379907625636864355066082211<86> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:667157715 for P40 x P86 / June 7, 2022 2022 年 6 月 7 日)
29×10166+349 = 3(2)1656<167> = 2 × 3 × 127 × 257 × 3846460116891858308704411303361<31> × 3989859304479977092050021496131593670073448887617095530379<58> × 10721327903792007453432390022861587654382621678666822217305793827955639831<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3652648930 for P31 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / cado-nfs-3.0.0 for P58 x P74 / June 21, 2022 2022 年 6 月 21 日)
29×10167+349 = 3(2)1666<168> = 2 × 2358143 × 17480909362406268129821<23> × 66047115684740231613799262177<29> × 59174892510133721553882164573912289143720506532613456346243967583220760085911770271102047684212477091719955523<110> (Eric Jeancolas / GMP-ECM 7.0.4 B1=100000, sigma=1:263209405 for P29 x P110 / June 18, 2022 2022 年 6 月 18 日)
29×10168+349 = 3(2)1676<169> = 2 × 7 × 1619 × 3793 × 8923 × 1283543 × 8907951380477352553844469994531371951996373786806636894667397<61> × 367365702448213584913946538660659564868561660853197597033991162199464281353589955426648069<90> (Bob Backstrom / Msieve 1.54 snfs for P61 x P90 / June 19, 2022 2022 年 6 月 19 日)
29×10169+349 = 3(2)1686<170> = 2 × 3 × 41 × 157 × 6385435101434664418491613<25> × 230755909089805751263535903716489787934946807715126069501<57> × 566209827002731877985818258879875979860193422183236599904827735236510555062225087791<84> (Eric Jeancolas / cado-nfs-3.0.0 for P57 x P84 / June 22, 2022 2022 年 6 月 22 日)
29×10170+349 = 3(2)1696<171> = 2 × 83 × 87299 × 1616359 × 13756257786772285918168666312170693137804975275173993611444751776904453136991309101201255364446489772488299919383399941663310769320171602527550177740559403271<158>
29×10171+349 = 3(2)1706<172> = 2 × 233 × 4889 × 1095360747619<13> × 50259733509299669017940081671341212710762855447<47> × 100808875212246086901818663906400277792061820343<48> × 254843411406183834767639086643739973429168480991505154234451<60> (Bob Backstrom / Msieve 1.54 snfs for P47 x P48 x P60 / June 15, 2022 2022 年 6 月 15 日)
29×10172+349 = 3(2)1716<173> = 2 × 33 × 1151 × 179741063 × 10244662069<11> × 747283464180167<15> × 376752453787405589099739638339055680382505020297492271054646884908369061423347851279711917479737301257631659716094813593944438616618481<135>
29×10173+349 = 3(2)1726<174> = 2 × 14653 × 362871462782829047584300396687<30> × 30300244138646964809154602943931403759771750009892777653607331890573818724522415645199422665190517673965470583882225507822472153330460594483<140> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1958303907 for P30 x P140 / June 7, 2022 2022 年 6 月 7 日)
29×10174+349 = 3(2)1736<175> = 2 × 7 × 41 × 4674061291<10> × 198495255880693<15> × 3051660097315822199923<22> × 216818122392141942903489735091<30> × 9144654956875580616150031651239370481644905532454429964272029673553403011441461773955028866702761<97> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2450922300 for P30 x P97 / June 14, 2022 2022 年 6 月 14 日)
29×10175+349 = 3(2)1746<176> = 2 × 3 × 1699 × 4614208232158872749<19> × 381506398295303408911489493124249883<36> × 1795609289637292741688468215913013622161967165186425193013729868050647203049002039452777956953807674436618990307013087<118> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:103515087 for P36 x P118 / June 14, 2022 2022 年 6 月 14 日)
29×10176+349 = 3(2)1756<177> = 2 × 191 × 36206333 × 5087650632931677727471043<25> × 9965114034631276242034385089019251979<37> × 459523822032329865106050032720607368518229592877247393297279614731595392049899722377408904006175407091043<105> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3440840861 for P37 x P105 / June 14, 2022 2022 年 6 月 14 日)
29×10177+349 = 3(2)1766<178> = 2 × 19 × 6079900222141932312247649032498785065159<40> × 1317561754896990886368219395831010173904264551561683444029619<61> × 10585331412918790158656530345837359538664117986322183936516231503158029216887<77> (Bob Backstrom / Msieve 1.54 snfs for P40 x P61 x P77 / June 17, 2022 2022 年 6 月 17 日)
29×10178+349 = 3(2)1776<179> = 2 × 3 × 4201 × 23461873 × 2580136913778269<16> × 87658022014115364951163768641948600509<38> × 2798428320571138780808713936320160346066295137<46> × 86087534644474294949517292120211000056074003564836681809106382871651<68> (Eric Jeancolas / cado-nfs-3.0.0 for P38 x P46 x P68 / June 26, 2022 2022 年 6 月 26 日)
29×10179+349 = 3(2)1786<180> = 2 × 41 × 2329881904534559647353615411495121223207913481877347<52> × 1686583035708823933909654642248840229820066168406163739030775484897259873756384655850553726202262809463873057798056323737221419<127> (Bob Backstrom / Msieve 1.54 snfs for P52 x P127 / June 17, 2022 2022 年 6 月 17 日)
29×10180+349 = 3(2)1796<181> = 2 × 7 × 59 × 808585700683<12> × 15424112432672803<17> × 2174193792609917791814657<25> × 2687193624147445942642957791860071506693723617<46> × 53536748361434427837005548559281179817609430059173296046445017687749089947754621<80> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2737148764 for P25 / June 16, 2022 2022 年 6 月 16 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P46 x P80 / June 17, 2022 2022 年 6 月 17 日)
29×10181+349 = 3(2)1806<182> = 2 × 32 × 173 × 71549 × 6545857 × 91556456819<11> × 1754540464162553863023911<25> × 88996448171003429594091678223351696174531410625682580967<56> × 1545403025218068282251609678433307339584338216758528644040694532676908347971<76> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P56 x P76 / June 18, 2022 2022 年 6 月 18 日)
29×10182+349 = 3(2)1816<183> = 2 × 140083960509965216126321<24> × 1150103912857675644113138275266639928560528145253457883594650029313138343279775913599908870645087939621486230074355221891864652092043936933427911478559618504153<160>
29×10183+349 = 3(2)1826<184> = 2 × 433 × 3720810880164228894021041827046445984090325891711573004875545291249679240441365152681549910187323582242750833974852450603027970233512958686168847831665383628432127277392866307415961<181>
29×10184+349 = 3(2)1836<185> = 2 × 3 × 23 × 41 × 34392621837595801445647715990687<32> × 165587390021290967363115816704380617905568798508245435452777134625438637716479580103546406377861104687978168225515032405558129752339444470650785665331<150> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2132997886 for P32 x P150 / June 7, 2022 2022 年 6 月 7 日)
29×10185+349 = 3(2)1846<186> = 2 × 7759 × 2431633 × 318802987 × 63943457857<11> × 5072023080018779771<19> × 13865188907233095037<20> × 5956569323120082434772487214729512571890185523083815502160118164032544422842736524044773493887788692956735205416513803<118> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:361127230 for P20 x P118 / June 18, 2022 2022 年 6 月 18 日)
29×10186+349 = 3(2)1856<187> = 2 × 7 × 195977 × 1013863927<10> × 1764606469178323655470423983744553114678325364667426238509<58> × 656439656032690759945401997634129758945092373299701122972012544661734643680127611020734929077288298245623369964069<114> (Bob Backstrom / Msieve 1.54 snfs for P58 x P114 / June 21, 2022 2022 年 6 月 21 日)
29×10187+349 = 3(2)1866<188> = 2 × 3 × 739 × 8761 × 958276312639661281204310412882480477613059021211044078585885730547<66> × 865596249968483815421947253943857348663934320659852338323804875655760004385188766974594325812113268378754103178867<114> (Bob Backstrom / Msieve 1.54 snfs for P66 x P114 / June 20, 2022 2022 年 6 月 20 日)
29×10188+349 = 3(2)1876<189> = 2 × 71 × 6067 × 325226895428191<15> × 452243699027299440780953686267<30> × 2542928627636154511091282167175602758313036939982866361534911684328247674703812794885947361790046674622804469760714526047609109189078403697<139> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2415304808 for P30 x P139 / June 19, 2022 2022 年 6 月 19 日)
29×10189+349 = 3(2)1886<190> = 2 × 41 × 67 × 15359431390106701209658286947<29> × 38184903295002865012097156782466754500633391092318493127698029040913583512873627222594086942798324720838731530359046826910688681504388985373554263180756395257<158>
29×10190+349 = 3(2)1896<191> = 2 × 32 × 47 × 240043 × 2567742761839<13> × 8710137352008010073546271004448590571<37> × 128034912264217650760388144841821378123848716925301<51> × 55410383270246554491225983488729925233529331536905693813215868056342845638489227493<83> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2729303176 for P37 / June 22, 2022 2022 年 6 月 22 日) (Eric Jeancolas / cado-nfs-3.0.0 for P51 x P83 / July 14, 2022 2022 年 7 月 14 日)
29×10191+349 = 3(2)1906<192> = 2 × 293 × 39195769 × 1617816797<10> × 5225519777734778682805829900860054946525936209<46> × 89037191709816931835687658435855796834784431327511578573<56> × 18637531623254521661860584118836920193988538264441021872596382398358741<71> (Bob Backstrom / Msieve 1.54 snfs for P46 x P56 x P71 / June 24, 2022 2022 年 6 月 24 日)
29×10192+349 = 3(2)1916<193> = 2 × 7 × 113 × 211 × 44585503 × 25879873066611905683<20> × 2251273684469200496249<22> × [3716057682161881218122607210681216765330404164520631709515086583477985810456889610388376428771147283246847679431670393185688085926103761313<139>] (anonymous / ECM for P22 / June 12, 2022 2022 年 6 月 12 日) Free to factor
29×10193+349 = 3(2)1926<194> = 2 × 3 × 36469 × 800083 × 2800694411579098249909349959<28> × 1392361450566813988280365743913507<34> × 1919384461500364421462846444333069571190010330040633277<55> × 24590403230385611892648586937931009964827538548812650260812361716173<68> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:834385165 for P34 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1725682354 for P28 / June 20, 2022 2022 年 6 月 20 日) (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P68 / June 22, 2022 2022 年 6 月 22 日)
29×10194+349 = 3(2)1936<195> = 2 × 41 × 181 × 47623 × 455875561241411617644162071852083350701799220457631990043456407042664095631623461027338333307950496480350321643332350663693368285809360875645803184258538145340584532768422901580119306011<186>
29×10195+349 = 3(2)1946<196> = 2 × 19 × 199 × 171419133885914684191<21> × 35903205290317104215183321027<29> × [69235095669295134696912352570785753975443717117014557477962733043417693302590682574143047676017181846663311303947474122856619711427456851309689<143>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3006226403 for P29 / June 20, 2022 2022 年 6 月 20 日) Free to factor
29×10196+349 = 3(2)1956<197> = 2 × 3 × 17209 × 787639 × 15507481247<11> × 37437803643161<14> × 195378412292761163233461082983050337115043<42> × 141157481889408483749466134778009825745827178603<48> × 24745104154850031712219729313990082445573198505604759371765536493863489147<74> (Bob Backstrom / GMP-ECM 7.0.4 B1=20910000, sigma=1:1078678105 for P42 x P48 x P74 / July 26, 2022 2022 年 7 月 26 日)
29×10197+349 = 3(2)1966<198> = 2 × 17839 × 1352317 × 70069399 × 487334459 × 1009355630579<13> × 8436871055802369845420729<25> × 16723813358320167022740969482006621711654417<44> × 1373282963626997897411340918213787594235977381463813797367150674799222147699887276617519613<91> (ebina / Msieve 1.53 gnfs for P44 x P91 / June 14, 2022 2022 年 6 月 14 日)
29×10198+349 = 3(2)1976<199> = 2 × 72 × 1471 × 3972816217519<13> × 288772424064155626437887587<27> × 173216881195461466006928978681937690743257<42> × 112479229240200502459818640503071610305917857443097565585668506278821133704341825474131456936943628162030102034907<114> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:869489969 for P27 / August 27, 2022 2022 年 8 月 27 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=20510000, sigma=1:48242491 for P42 x P114 / September 9, 2022 2022 年 9 月 9 日)
29×10199+349 = 3(2)1986<200> = 2 × 33 × 41 × 9317896691039<13> × 214067808655081280434809897067<30> × 7296399711808702451727422658844024572299619738799340921182223582983787431736717606350860177275804995430999358584902893617580425336542118719606560390996743<154> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3345755878 for P30 x P154 / June 20, 2022 2022 年 6 月 20 日)
29×10200+349 = 3(2)1996<201> = 2 × 2361701 × 37758466327787962669542620143<29> × 846130115176963954158047283244819<33> × 2135251722576783746046498232641866152728537159747939205860936602090739256047433336335412305800416136109654973544620651682409520552889<133> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:352109020 for P33 x P133 / June 20, 2022 2022 年 6 月 20 日)
29×10201+349 = 3(2)2006<202> = 2 × 1664176439<10> × 15967007965808574299<20> × 9858386238218583480893454587607565279<37> × 6150306403570387710248827374977648361785188648848291567713748153664173285470048710858208133644018408961694410900678608535107042617223027<136> (ebina / GMP-ECM 7.0 B1=3000000, sigma=1:3775441279 for P37 x P136 / July 27, 2022 2022 年 7 月 27 日)
29×10202+349 = 3(2)2016<203> = 2 × 3 × 97 × 58560083 × 68623456076773751<17> × 8107970767655209489097<22> × 1699206103522265309850866727744530119678724406046787356036300439678093996305148164263912093601071751572600269403164247626685359043653658280193608533123743<154>
29×10203+349 = 3(2)2026<204> = 2 × 218032369 × 10571907781436279912494691414897<32> × 382107537659461700677505881860058614408263<42> × 182921834486406513566169891257673932526545230401665041510200498471485174709571392655428376654314251746038422468062296525007<123> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3087398103 for P32 / June 7, 2022 2022 年 6 月 7 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:2081583154 for P42 x P123 / October 6, 2022 2022 年 10 月 6 日)
29×10204+349 = 3(2)2036<205> = 2 × 7 × 41 × 883 × 13799 × 180311 × 2923070742665471<16> × 28193084239392303609847564157<29> × [31004957531415990602115126431484674774343616827440834844239447533693186798893448234013070410495710288887249690385833247006729710804245198416670191<146>] Free to factor
29×10205+349 = 3(2)2046<206> = 2 × 3 × 197 × 11579 × 91390639 × 63705277580887<14> × [404380152481164871226149248211057106978261951640139221840092892912207579333395153881808808631278544310068570775518811880206931869908209543141043952636830417396139083806687453869<177>] Free to factor
29×10206+349 = 3(2)2056<207> = 2 × 23 × 19753 × [354621116684776800246327164637867029798690151878110118905683255842505180525382189851428426086320649391971524658029074529374979059011644045507916488438984746645223094590169266773150828187047231375115527<201>] Free to factor
29×10207+349 = 3(2)2066<208> = 2 × 1985623305557698779579653566986834239309<40> × [811388094912897368926040145203590369880525514535521802257562258926550425480688943714116984658255534178832126616227040609500975649377882376277355482137337811609379624557<168>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:2570273493 for P40 / October 11, 2022 2022 年 10 月 11 日) Free to factor
29×10208+349 = 3(2)2076<209> = 2 × 32 × 127 × 800017582075632847<18> × [17618938140228824393669366200449979837950706570709024453757326457120358302812093545021191862734266668769657007853848604217522164721015945225261404465722228556999436388299517366749400628753<188>] Free to factor
29×10209+349 = 3(2)2086<210> = 2 × 41 × 3577726630728337843333<22> × 1098334138120831107803605420388061997036437367789758566746400591839086614382657401189799580397105443690094848573228647637030606207815798273001404601522140485882515541270413718795280243821<187>
29×10210+349 = 3(2)2096<211> = 2 × 7 × 1741 × 739229129 × [178833802082006211694499516620948820016011848163190595758207316733345821031038487450483138135301826085430010457088017049104038980859210763152250419120962989368819224666835676058623505289398953450131<198>] Free to factor
29×10211+349 = 3(2)2106<212> = 2 × 3 × 83 × 84463 × 481272031 × 1591728598692311637204570509682550706140458052936327830092781392707317497276973714974595066219075163964877076995316489192211898403606872912256217072553021255908930835677260145807184766127571447329<196>
29×10212+349 = 3(2)2116<213> = 2 × 3313 × 5686031496978941<16> × [8552533733574696896305941439193705046280015807854624916685716339650761476367361556672987224509756587742506489705802811576906270621104119660502976975901345155008149571431884999227377162153157261<193>] Free to factor
29×10213+349 = 3(2)2126<214> = 2 × 192 × 50345363481331<14> × 318059581466504231<18> × 278708572590552563024429814414361769766680129411054984968824420125609585104856169328381011802808279202247759574784020837909803540096678254516640455423968856071800404499098652071853<180>
29×10214+349 = 3(2)2136<215> = 2 × 3 × 41 × 11887 × 15246472699231<14> × [722734419768511319885359661801072633812156508034989654351034687752973308520682397844950583571526071725656971606633022009139464501165489778160453158849455757696390936084219150080707195204623846523<195>] Free to factor
29×10215+349 = 3(2)2146<216> = 2 × 149 × 27127 × 37028748994288897<17> × [1076461290455325300703577588009193514528908098097871566733143236808451778738116689333366128307147950620894614612806113644117572868368587843930138988572643054613261528648713848661241229844174723<193>] Free to factor
29×10216+349 = 3(2)2156<217> = 2 × 7 × 709 × 829 × 5639 × 20849 × 1192596049<10> × 2509725344202287<16> × [1112806876113150004190403892094673482185133680009286368934221547427291514724450061713522340942498169558941096839475087694767419096278406658192536625681153927203956263557470970983<178>] Free to factor
29×10217+349 = 3(2)2166<218> = 2 × 32 × 2843 × 253246756719521<15> × 77590694513055683<17> × [32044433056749484189669996310216241349082751266958759109156209351720208831800042758743492462629690663648015415666852559454807600838127746235258673933717262108620025656055007987662993<182>] Free to factor
29×10218+349 = 3(2)2176<219> = 2 × 25309 × 675299 × 494143593599<12> × 4921159850459<13> × 76030719627891343526503573218337<32> × 1053969473472298081305600597004223<34> × 48374515182549937698177896610463800084796730350002073878274401064848874453580667092710445011251975235484583305407061773<119> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4173206260 for P34 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3001276979 for P32 x P119 / June 20, 2022 2022 年 6 月 20 日)
29×10219+349 = 3(2)2186<220> = 2 × 41 × 210726145139586642725333801498142573567893772642269084925316080603684796375117<78> × 186476115376665597909088159448484007874614789638785074871363074682528889203003530188140869590709998608153834883143288731248219929842192901029<141> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P78 x P141 / August 15, 2022 2022 年 8 月 15 日)
29×10220+349 = 3(2)2196<221> = 2 × 3 × 1847 × 6300857 × 57191177 × 72558347663057283196862719997608825106267718833<47> × 46568289663162459300548529132925871349015704074996765025962217448826639<71> × 2387981803022927834332080004047615063908747737295166847400609113852033669687533055051<85> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P47 x P71 x P85 / August 15, 2022 2022 年 8 月 15 日)
29×10221+349 = 3(2)2206<222> = 2 × 61 × 80363 × 249474803 × 71340907621<11> × 579891634081801381070312839613<30> × 2125183457985018868785363969011703510856255463974011003903492339924073259284037<79> × 1498410915738405536109153144435085321734242756713181284442083675639132328174841063543097<88> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3325401312 for P30 / June 7, 2022 2022 年 6 月 7 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P79 x P88 / August 15, 2022 2022 年 8 月 15 日)
29×10222+349 = 3(2)2216<223> = 2 × 7 × 67 × 211 × 359 × 198881991699847184214518340317809372227583<42> × [228023856058192196382880551726352313040798751325952914712751000219227893567591722420581093445381966389344545400288539554332455352450420268721794898472762815584374381510551231<174>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3406127637 for P42 / September 7, 2022 2022 年 9 月 7 日) Free to factor
29×10223+349 = 3(2)2226<224> = 2 × 3 × 71 × 101995951 × 162676169603<12> × 4558679078305824771470022918883520198477335775705317001854314989694206005552207408513763679790198866359942940712210681838816078835273852904173255756533880695296536177639630331848261883144036144518004217<202>
29×10224+349 = 3(2)2236<225> = 2 × 41 × 173 × 337 × 439 × 295291 × 9188158489034348208928636769947<31> × 56587749639921914229689994695729709313569718114069537866050377952041081118934945616004948946439778003185944086908818659643848745609965268071330232497260113716637816127490147606731<179> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4144087851 for P31 x P179 / June 7, 2022 2022 年 6 月 7 日)
29×10225+349 = 3(2)2246<226> = 2 × 9340224682490056936191221524750037<34> × 172491686857536813537999109601491258878334310618907162248708942429880606453995446189100500702095427131043099344674707638664666859622450071198630775868963037550439740021803974317166810368198949<192> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2699692320 for P34 x P192 / June 7, 2022 2022 年 6 月 7 日)
29×10226+349 = 3(2)2256<227> = 2 × 34 × 193 × 1030583452383490763840025018301740619913715288883202911220566181226323233615499975123847701088153976275258178923502277944803371784757315365643901433577119625862669424365835803179883011009474260289842711642750023099284277561<223>
29×10227+349 = 3(2)2266<228> = 2 × 209784100257403379<18> × [767985328313390254937433716590267035834689176038355775218963214874652152978574570164283671390500562152568464014386576222736145299561647834935897141826177190781431345613147194157089104992739290927645360922353747<210>] Free to factor
29×10228+349 = 3(2)2276<229> = 2 × 7 × 23 × 8311 × [1204055024816404444241831047164994317275474254438748848985674983697510155373751550636035838988447631785690827400871187785335091419746120430912194577949235213311633770637814518894072968557805311609855613873337895456303223903<223>] Free to factor
29×10229+349 = 3(2)2286<230> = 2 × 3 × 41 × 4887565755622409<16> × 176233130519186995839357780451936822959463<42> × [152068832672858790640424678108537070591616190164891303257658925567946167909162331803161416609941818215242939432604406224639325936119608490151367259248484856255848324019093<171>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:2883583756 for P42 / October 11, 2022 2022 年 10 月 11 日) Free to factor
29×10230+349 = 3(2)2296<231> = 2 × 26755259 × 50699966308177<14> × 205059226042012064071<21> × [579201060992619594060166096193478521065877595290992303227057514333258845797481314708997927762647098673142033361567958108313673361549835745954040778421091679934633789772774570913079031113421<189>] Free to factor
29×10231+349 = 3(2)2306<232> = 2 × 19 × 887 × 66612009485393399<17> × [1435144849714296278720825391278647712749903499510286664291676838976446445574946712976220783304097160940534032878738873304108152021935059109119185623251426306248362481393196275166715097886355357129780781241546179<211>] Free to factor
29×10232+349 = 3(2)2316<233> = 2 × 3 × 6691 × 125261743429<12> × 8591156853294864263<19> × 35323145678975806823736528689951000687<38> × [21114642638655710735331848301902012122600681782785579043853276717817528809722356417758541872767062593210762024479946583970424659320100290102751395141502114780869<161>] (Dmitry Domanov / for P38 / September 3, 2022 2022 年 9 月 3 日) Free to factor
29×10233+349 = 3(2)2326<234> = 2 × 168846707 × 1705824744587<13> × 52801658503231186787818596607<29> × 10593779367451682687058814117945137032023981942378448437979791871738731074868907767774023217142351232666743615968951022481848775990758426800201176727396852574922221511127712040365024551<185>
29×10234+349 = 3(2)2336<235> = 2 × 7 × 41 × 12979 × 69431 × [6229439083109233564820206763990432828320549213933616570066915631824248117798685235701652371591584612928987345629558001889897545844033884766521610297019612576849550845168415845405249687115057942889321126287995767941243340251<223>] Free to factor
29×10235+349 = 3(2)2346<236> = 2 × 32 × 1871 × 11287 × 5306632783<10> × 55696854751885937<17> × [286801200093624148838082420800588572923639075980051158246106874769578593051071760232232647191870767262739348869826829687851869083261340218580531615609123102337282481822422304510315436722280124823151671<201>] Free to factor
29×10236+349 = 3(2)2356<237> = 2 × 47 × 6011 × [570270500929540916515151693919697261089106535575243652987647154369864861622879724445293950845829139878701498002283441743722010042266876368895008481298863824517148033962951295359610611436165296640949433524747576645338549931901836389<231>] Free to factor
29×10237+349 = 3(2)2366<238> = 2 × 316016582115953360768839956073939<33> × 5098185355729084448144053132849573141355176936481682086933947314080677399231151534650426512961758271116270661835457205256137570932029654522496835260455709385464424835643802529193465924585843950965255754867<205> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3696888309 for P33 x P205 / June 7, 2022 2022 年 6 月 7 日)
29×10238+349 = 3(2)2376<239> = 2 × 3 × 59 × 229 × 593 × 30636698579015707<17> × 38606392277231145337<20> × 566709989067468307474470922751073824287317986682340882373705442916640981894831109913217689471467996994022861529342508214991493090599178954792078690611746504045898042088114762478936377819349714503<195>
29×10239+349 = 3(2)2386<240> = 2 × 41 × 88843 × 108631 × [407159566685080266199563617625993038748409150919205969283903051045849243053005005836298971077461226983240066360944803738228433737393982526241155897927467645197453595169933944528887908883251624698250935237896681547377062672541621<228>] Free to factor
29×10240+349 = 3(2)2396<241> = 2 × 72 × 18679 × 29142871193<11> × 1599785220143311<16> × 115883096938912972012273<24> × 38404673247678572971213749423367883<35> × 8483549656059372490744401202777886204349809680782378375188920293978465064120783156104818833528252125762124946547293305180621300878057967909847906782379<151> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3010260893 for P35 x P151 / September 6, 2022 2022 年 9 月 6 日)
29×10241+349 = 3(2)2406<242> = 2 × 3 × 4256839 × 33191007853<11> × 52127443253<11> × 49524427236761995324993137752985012319<38> × [14723487348615488658028394472447380535840175521229014155364520425197298746745416084607413306766392538862149376063310693305790147180663450779514470733702019278025523110559053259<176>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4250729720 for P38 / June 7, 2022 2022 年 6 月 7 日) Free to factor
29×10242+349 = 3(2)2416<243> = 2 × 977 × 3550889234816166018328129<25> × [46440170313773002546858681233326498433719075026198084571182371445837619032640897869395736609246105464822827585204353675670995876584069616536606936789450135650835498297353781213518101248800826415586996207849026248761<215>] Free to factor
29×10243+349 = 3(2)2426<244> = 2 × 408732122507<12> × 116763478318058681984818705458842119223<39> × [33758232379194409142027914964408120870824419968670036220259351700637192969882485511828416882651998075603740256160068595361727488409592808311195403464274519492637339382267065995867724095983367133<194>] (Dmitry Domanov / for P39 / September 4, 2022 2022 年 9 月 4 日) Free to factor
29×10244+349 = 3(2)2436<245> = 2 × 32 × 41 × 599 × 809 × 1948063785031829<16> × 1669125445881092839839190010638147<34> × 27709687744540954818982783507914121960396080818118098279961608852562874807818314260724750232915796314846582396979180369063139012373022726008388021218335399424051837087912651729631936285769<188> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1103277759 for P34 x P188 / September 4, 2022 2022 年 9 月 4 日)
29×10245+349 = 3(2)2446<246> = 2 × 163 × 991 × 5166893 × [193034424861366514064862516240353479807748227345987380680871441259922539669386501686240813836082779300174001966057819935496398281894877711582062799623901727274345825848557300495264241902464273712275500162232569283451871910296313850577<234>] Free to factor
29×10246+349 = 3(2)2456<247> = 2 × 7 × 6627869 × 14634845923<11> × 2372823212679521892807626352372249627649805926707557199594826477508457878167638415386763539623289811677775001126856172002179373434921968064715069758968158459013031927266359409727403660881855934866985591819500178760180716939571657<229>
29×10247+349 = 3(2)2466<248> = 2 × 3 × 157 × 587 × 81869 × 311463798553<12> × 34188966913313347<17> × 2944596625238291033976941<25> × [22700092920210673174984254326950740022537836092464432460648416150911433279242590558451521955727745110150082292084400302524488259994835021772508662217614887346365383721412036353177872671<185>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4160814365 for P25 / June 21, 2022 2022 年 6 月 21 日) Free to factor
29×10248+349 = 3(2)2476<249> = 2 × 379 × 3450366007436857<16> × 431533055147497283<18> × 2244995082023066296189499<25> × [127172044788592893033658958656487296216188452582547409529186864597470942599709711417472560087842041708475474237865341896387490253600870149151380192442105271200272522312898228557437586121363<189>] Free to factor
29×10249+349 = 3(2)2486<250> = 2 × 19 × 41 × 5009 × 6301 × 13291 × 246838179680411422672107835621418207<36> × 4748001973918325577975656151020700998249<40> × [4206749385390009399011649879409140048241328782271344977842128064096242638714156435026834262086231188470115280545155692644238467781387883995678297340792736809491<160>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2836686485 for P36 / June 7, 2022 2022 年 6 月 7 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3966909871 for P40 / June 21, 2022 2022 年 6 月 21 日) Free to factor
29×10250+349 = 3(2)2496<251> = 2 × 3 × 23 × 127 × 523 × 386092097 × 8985579452361282524107690123725646665317<40> × [1013290547911493326334129290368179465575726104718907555957165474905314996784983579336753076562937479083318275220509997312386657390211359507091816639368011650129591421664710055588246820010840700013<196>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:1907513811 for P40 / October 12, 2022 2022 年 10 月 12 日) Free to factor
29×10251+349 = 3(2)2506<252> = 2 × 6524835951699996081446238456292224428663<40> × 5388502444116502601092818446780507087181088817<46> × 1856380927491165489776402988858058390363932713407<49> × 4919060002596717122897739311077513558334146845151<49> × 501809170390841998485095484438313706997339430728725204291790194016079<69> (Dmitry Domanov / for P40 / October 19, 2022 2022 年 10 月 19 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:191667071 for P49 / November 3, 2022 2022 年 11 月 3 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:4079332129 for P46 / November 4, 2022 2022 年 11 月 4 日) (Eric Jeancolas / cado-nfs-3.0.0 for P49 x P69 / November 6, 2022 2022 年 11 月 6 日)
29×10252+349 = 3(2)2516<253> = 2 × 7 × 83 × 211 × 1709 × 1013012360509313<16> × 2680398501666829<16> × 4946016172995407335159759<25> × [572605083396856260350974304434615206564465563556244811428862261881676485916722986753008307225611501911542794188894190397611394641091347952265529969448761369087165240987356723335496391466289<189>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1376282202 for P25 / June 21, 2022 2022 年 6 月 21 日) Free to factor
29×10253+349 = 3(2)2526<254> = 2 × 33 × 4201 × 21459547 × 6618940805213658316957280908586456328037943234295836698798082477558757233377440380377591915468010428074792299867564248757479113172952504801157252164845989605163702783097747025548686371867831128161369191146691238014449737374860493224979680777<241>
29×10254+349 = 3(2)2536<255> = 2 × 41 × 8437127328569986409387927476616435051<37> × [465743746937024573434028090881781655772857571589746614411748825342526514899126351573733184629929851155829808659532254691753027143772126810963445640840929180356827971695308096931154042744141127638707397661072231678243<216>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1961664608 for P37 / June 7, 2022 2022 年 6 月 7 日) Free to factor
29×10255+349 = 3(2)2546<256> = 2 × 67 × 250169 × 2063351 × 25118750281<11> × 971722062771458412552952157727127597<36> × [1908551981481071196832419607023145857147350197289700961465984882759489088434311592485860579399590630736301812105947799877487371943748521003203401281969543073334997857191011505343110044596813252233<196>] (Dmitry Domanov / for P36 / September 3, 2022 2022 年 9 月 3 日) Free to factor
29×10256+349 = 3(2)2556<257> = 2 × 3 × 4122858780901613<16> × 8575050127634745996286473443<28> × 151903965458224205704872277226270441508189053923357418562852150806959946936649313466252798186190236457723320809869823852954343112738058199050335814303200773125788724151325020319689750311052927186183175585746747269<213>
29×10257+349 = 3(2)2566<258> = 2 × 4547 × 9619 × 10133 × [363523567053237950053242675247139833332862724122074139954553941078806400435572620734065074144495539165045142388029037288657077923642409988054791429247632320261333859572082725928821462304555472528545582073686001701705411147902122854879484916764877<246>] Free to factor
29×10258+349 = 3(2)2576<259> = 2 × 7 × 71 × 10627 × 13953258410260111130371<23> × [21861642404157474951642477537053134953389961903300639713199769320902862212100736791626830265725468362398962885356401493872672853256950259260762367177900991892222536062766852949531822144805719347756019909869544844348293129068697937<230>] Free to factor
29×10259+349 = 3(2)2586<260> = 2 × 3 × 41 × 431 × 149497 × 3401056557329<13> × 597718612357206889637193150538874459574796299942928094493273234805569933614558403407499002419544482677784881191611340299144477155028760702901860110155620055586678570132016579595384586989485141066730586355107646432538528703291079528356477<237>
29×10260+349 = 3(2)2596<261> = 2 × 1622208400727105341<19> × 99315914674648447822655798972498391004253965703797181007969972797251191846007614928675825356224011931523350787267996200409266944632900883618761679638873825360265056861104368028012572219151085788618856953432828486743819865353139577054922458493<242>
29×10261+349 = 3(2)2606<262> = 2 × 23063 × 66583130987<11> × [1049169073501553804685594380652915177937906268533259537116237467293860380004413473854903116011650652160561669186864702112549928293372366462884141357503725302931937506831798892029791548804440929707157272523756819546020412872915699817943722415186973<247>] Free to factor
29×10262+349 = 3(2)2616<263> = 2 × 32 × 60979481 × 8885336849<10> × 21316399503281566193000759<26> × 660934290331693848069489810229<30> × [234505605004914571221410162883351533329949491253332631573745240181928074278699913572179821833532488767882204465698916389535954840143885805332591714000295649344110409617959009978521954005523<189>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2135400478 for P30 / June 21, 2022 2022 年 6 月 21 日) Free to factor
29×10263+349 = 3(2)2626<264> = 2 × 149249 × 4780507 × 1313604937469739073<19> × 25345215056938232972213<23> × 54523142246461599247847<23> × 35183100416413621474900777<26> × [3535610108269357985279993595705636232953235468062197547738259577444609989840124068539338526170472753291808776354743899593580799760263065803280126774972335265732961<163>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4150064425 for P23 x P23 x P26 / June 21, 2022 2022 年 6 月 21 日) Free to factor
29×10264+349 = 3(2)2636<265> = 2 × 7 × 41 × 131 × 41462713710641<14> × 1456623890709257<16> × 709524095413737058509000451964056007152048117750233948727505517070289683848398594133166104030066784062544899386898756290524136430882638076303777085019478391990478083947633053690228412332313022754796683646466204971461739989788571717<231>
29×10265+349 = 3(2)2646<266> = 2 × 3 × 67281648589<11> × 249073161627533563<18> × [320465055914150035958325537592040461616879622830013944818353767232284870418617530560918279634814568741782068974551764872889571937105056451681532887250983723743280242313325921713033007047636307629152680764111229539775211959189207705214653<237>] Free to factor
29×10266+349 = 3(2)2656<267> = 2 × 109 × 9467 × 612547183180595306961893<24> × [254886639019450352453259200865684950173666816331549682573551300499923042636423885853875062866544253841966215292175649109077397396321665427141466954565894700310708246573299997120899858394692746901793342005330369820840066880079851824036747<237>] Free to factor
29×10267+349 = 3(2)2666<268> = 2 × 19 × 173 × [490146367846398269276273535476456072744481627962005205692458506574721968698238853395531217253152148193219078524828448771253760605753304262583240374539431430213298178007639522698847310955616401311564073961396748132373322516310042930061183787986343508095865868911199<264>] Free to factor
29×10268+349 = 3(2)2676<269> = 2 × 3 × 170620663813742388581221<24> × 4306513690820842011000424103323551650723<40> × 7308811791883005566358390183204641108172391369320793790007226761312802440638299918135903113030058812126908208039687830281207400254201524319300524337071145513474633025646817298320532967921516249469203397837<205> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:4024461082 for P40 x P205 / October 13, 2022 2022 年 10 月 13 日)
29×10269+349 = 3(2)2686<270> = 2 × 41 × [3929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295392953929539295393<268>] Free to factor
29×10270+349 = 3(2)2696<271> = 2 × 7 × 502924947017<12> × 457640312980835833163560528237128053522720862858377761208107873436217362432297547167373068149497439824134837067743306693788889570364301367682931041613492144033032753314916791995615887980209278889669341492431036483834242047461957808491605559558375686713027127<258>
29×10271+349 = 3(2)2706<272> = 2 × 32 × 191 × 863 × 8821 × 27935384311<11> × 445085228306285572543711<24> × [99020055855131152078282267285193751878141826899112057752204617350887819192082090551420702580365459807663955690358029661515336151232907444383313485096378997983068513783938369219940642813786804069738503810323358832199828941607669<227>] Free to factor
29×10272+349 = 3(2)2716<273> = 2 × 23 × 3561753500160800712938026770144403<34> × 1966680433544363055846087980299992025371464840316514821908334336209737607482740011125396848865869822193022366574701533242722627107623614557070313577516607362704727997263869805002906257454461125737203251008645826440319666797851849139348677<238> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1152836396 for P34 x P238 / June 7, 2022 2022 年 6 月 7 日)
29×10273+349 = 3(2)2726<274> = 2 × 1201 × 678444060341<12> × [1977281216578853344493143653007951042169994569417062061264321436845386618726453024331431390692058680851912942806041068817237415020874155391326007694415115526289209453961178682119242084176160439658096945371348540874342429825105045876168787480817144749350471893<259>] Free to factor
29×10274+349 = 3(2)2736<275> = 2 × 3 × 41 × 10333 × 586633 × 3188047469<10> × 196332811897<12> × 5095592452715241100596405209248291<34> × [6775090652598019764575312702101275796901290990394140556012111731537596031156464951691158266118259951225079368750550273563688477486143520541333241503894593158710257498120192381309040763061007717837790216172833<208>] (Dmitry Domanov / for P34 / September 3, 2022 2022 年 9 月 3 日) Free to factor
29×10275+349 = 3(2)2746<276> = 2 × 3307 × 3907 × 89899 × 110183 × 298013 × 1435456132156742341<19> × 29032739026825519122247135409047<32> × 101359693428778065599956828342105017329949462757080567291344269718062243904340305559726839379926691406204560265188885861079278896302671646101966171120213482780478628492784314957334290643049666739565847211<204> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1091233723 for P32 x P204 / June 22, 2022 2022 年 6 月 22 日)
29×10276+349 = 3(2)2756<277> = 2 × 7 × 2389 × 301591 × [319442668951798433120565377890986030164771147854917747618464429089810419140308012521619572233398046264936247817448913632417492278741390104400353746343805962038305146040810365082082611195645654191138948403630178857221287323792997418812006449321805398828142418084836741<267>] Free to factor
29×10277+349 = 3(2)2766<278> = 2 × 3 × 23414441378637514136635849990183268290162196628400571<53> × [229361456185331042564616581100820604127291367252508565437220796184937233641248019229749369486409574977379766081520763614681316029598526839305804313588529883302997349250304090027334412915933729447323791849467518793718153803801<225>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:1651675108 for P53 / October 20, 2022 2022 年 10 月 20 日) Free to factor
29×10278+349 = 3(2)2776<279> = 2 × 1015369 × 278439393541691<15> × 4539820900083466802644606052996486407<37> × 43234112999178192266634602414113627703<38> × [2903391763642557107958544175410391855950907973906144256948557557506735998035143485034970326058886175234204260589357558022276755316761626592259878391556295864933569392670646030000709107<184>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1982764110 for P37 / September 3, 2022 2022 年 9 月 3 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:572542199 for P38 / October 12, 2022 2022 年 10 月 12 日) Free to factor
29×10279+349 = 3(2)2786<280> = 2 × 41 × 80897 × 5675676527<10> × 537459122109979<15> × 1088566950170633949951464897763469<34> × 146282037487541668368870658651218518810324509911916018471289962329680091494351072767791496022638113735877768466493427753241401824314626831350400996487040189645794952448553785459870202980664316090597362158236416230897<216> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:102904019 for P34 x P216 / June 7, 2022 2022 年 6 月 7 日)
29×10280+349 = 3(2)2796<281> = 2 × 33 × 167 × 376547 × 91514771628348227<17> × 149594814820641373<18> × 693135791054827314788636499283139390544425196893191349711095184125289840980052659720116679729295355497392799534427283267280477040902756755384508028961525771020427919852644041663748675493863187158962102246784039574148423293745151508363161<237>
29×10281+349 = 3(2)2806<282> = 2 × 61 × 86631131 × 651708373817<12> × 30033547276729<14> × 46093527641882065800749454541351<32> × 33792614601220357162647417074726412559919205019366367894687399100607248938368343041000191023346799851299266165185479409416615553648122419023220609532740608500553796899901864861171085119390744665581192565032546770801<215> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3213008056 for P32 x P215 / June 7, 2022 2022 年 6 月 7 日)
29×10282+349 = 3(2)2816<283> = 2 × 72 × 47 × 211 × 23612854381<11> × [140410831328453463333061445139066474619963874072547758500288261874371470790942898324965792806362546329643092334051012331502105995615550766800371883771759417138152397929974407931987600465993894643836787769550685858484690993996893636178402486440002597007904985210059681<267>] Free to factor
29×10283+349 = 3(2)2826<284> = 2 × 3 × 7269667 × 172581340079<12> × 4280513622094780935945038506267479973092276289412584866874561435277298618291339801878536332706600786620513980371223393645256421698908532527840437578715968946694895813542227791119726818971118716689952334228298043485988470799892432569190757411198221024764247634097647<265>
29×10284+349 = 3(2)2836<285> = 2 × 41 × 179 × 20858897 × 376403146108211999056627334803<30> × [2796044124517106816741459199991663691590076019493514591136975489800891075865135757634722829952624784656039534194084234477488835192816546501218172986706108968365519963292995783205914069038490779403479697876893027760299232647314165272574159948937<244>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1969428911 for P30 / June 7, 2022 2022 年 6 月 7 日) Free to factor
29×10285+349 = 3(2)2846<286> = 2 × 19 × 11457363305781559<17> × [7400945520741050203134015674098909306477844308766586944209675361420105628657045130018186941836129326559082799762814315638660389942054461344863362700279806876407032046436781282438307078977665061006973093265814751354857895384463942774641598979184269957477141943343617253<268>] Free to factor
29×10286+349 = 3(2)2856<287> = 2 × 3 × 1511 × 38113 × 1205529419<10> × 299002423817<12> × 1088178707223033077649724995967<31> × 6952510836335390719185335243844924542941757<43> × 7330685964805478532903033282534978934412567<43> × 4664741729631962510811935119511519071921081216004610426878139788785464012910899793419793978309015774972923527289514880013199421255068022592043<142> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2044242014 for P31 / June 7, 2022 2022 年 6 月 7 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:115154261 for P43 x P43 x P142 / October 11, 2022 2022 年 10 月 11 日)
29×10287+349 = 3(2)2866<288> = 2 × 67893959167<11> × 1396510164006731<16> × [1699222527194398846183657772426845542177409427808198413672878336739286978640505038419054571130519801057492258294055688238194205002935595162801711630095562198007715667980816836732171657869570878313485770238723912561901061845606349170067623031920735320141032134469<262>] Free to factor
29×10288+349 = 3(2)2876<289> = 2 × 7 × 67 × 4344767811322278324767195009<28> × [790653281583942106777967425323538468195764255589946205445956409782687377125132676564657224292330312234358772560246446564098799646138993610445084527428461065400344538801718191445569611846716649904462650006489488888496320955982783973102519776194719723880204453<258>] Free to factor
29×10289+349 = 3(2)2886<290> = 2 × 32 × 41 × 673 × 2570162893<10> × [25241979708926572047088907903239226065236112702315509406145998248737375229220567398877460552194566612651679894258509446020856083111025750403749688065959744960323259894935429470096041978784104442692792564311662533118520647461756175510984073667804722129263069448674462557265693<275>] Free to factor
29×10290+349 = 3(2)2896<291> = 2 × 9323 × 95413 × 274294577 × 495913785937<12> × 861246352474819656004003<24> × 827226777852029760635685356443802020545434063<45> × 1868903487827491026093883971658164414692737698320660483979760608431285278613195310763379615593638177445186437897901226364338451738103602175167333423119883972726753644839840797667118632132875467<193> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3079891199 for P45 x P193 / November 6, 2022 2022 年 11 月 6 日)
29×10291+349 = 3(2)2906<292> = 2 × 5329950785662680331101721<25> × 3607533336271202485652718355829<31> × [83789951847951621215188913434816661273695343288122916044217106562114989206883859984850243643988188604860626422873238884514361532506567522852395048027407836875140897757245705479923164999412125833662153616189892594515031738902732829249357<236>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:914078288 for P31 / June 23, 2022 2022 年 6 月 23 日) Free to factor
29×10292+349 = 3(2)2916<293> = 2 × 3 × 127 × 519304007 × 2770422430521048329161453<25> × [29392251064806696227600773463033870105229268557318950113983294473380206407509690752245928397542843924298247303533566804343967937876413727283870829584919954763064567740932045734753240683007963598584249835904548433502316005684481429547237364351892056466690663<257>] Free to factor
29×10293+349 = 3(2)2926<294> = 2 × 71 × 83 × 42899 × 7250009276973242867<19> × [87902923815904320512913493145270411769436984441653003439427020339138383447398949797143360408192342537152633935757176860456253574735888463189340742417391421390683671034808811933119355717010183288690278511551612394744718855895352640068596638300630341459683693343966477<266>] Free to factor
29×10294+349 = 3(2)2936<295> = 2 × 7 × 23 × 41 × 199 × 6529 × 1159654241<10> × 583898391224193593<18> × 66048919553687788662773270489<29> × 198070585963993421282979313085602501<36> × 8780097802052597140176033188086087963<37> × 2415267058466177214266338402832646120958282500537219849650660962534896879155658561515986822577847474471542239171838177168798512990969185731088450058016224033<157> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4008203294 for P29 / June 23, 2022 2022 年 6 月 23 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1451810998 for P36 / June 24, 2022 2022 年 6 月 24 日) (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3946528236 for P37 x P157 / June 26, 2022 2022 年 6 月 26 日)
29×10295+349 = 3(2)2946<296> = 2 × 3 × 37170451173173690715273386534927387711309<41> × [144479558382283605124874724689946702960466381880695783179091321610386949375494619115883609056840735346043986569928781936092007009823759241308644094552585770616261428484223056722335051041858309570245939938152869836734879007954843123736679470429247461389519<255>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:977400409 for P41 / October 21, 2022 2022 年 10 月 21 日) Free to factor
29×10296+349 = 3(2)2956<297> = 2 × 59 × 63131208368055033523320696578091559<35> × [43254309066499131291797492789285641514139267313527483660598471581633215926279278448950852201347913054370433855741484292385162311882754381247914447698777264488582179919063559332759789243628457489303483950431968116291777366230037745270237813209739992962011696573<260>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1189652659 for P35 / June 7, 2022 2022 年 6 月 7 日) Free to factor
29×10297+349 = 3(2)2966<298> = 2 × 5059 × 67373611997<11> × 1817700112005907<16> × [2600451439797972057529232930330320991680647023274333698973998185873566556849693166526773387435158242288834306708265885306838755670833104700642590387524278742510810782070383749117859971980780843726801639554775383770595355792022743026187797201813782605375829990377356933<268>] Free to factor
29×10298+349 = 3(2)2976<299> = 2 × 32 × 97 × 195166997 × 6720593014462032463312743086608183<34> × [14070102884475826809399605020853227395550082624606442132937973996515440285329765243194258258204642878947040292730851378402724742620930140546922930987883261152200670067020346353861941865132787461828800408945779577976588683981470733771505101635087431769931<254>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2525169589 for P34 / June 7, 2022 2022 年 6 月 7 日) Free to factor
29×10299+349 = 3(2)2986<300> = 2 × 412 × 503 × 857 × 7927 × 11588891 × 65387073908693291687970387822985666483713233<44> × [37014026630861135199408212412405455134824117068767984470823734699321946805901448539289055783650230786232088338120797849666099611196170456717973003573464094804282112457609715854554758840894960011153920852223469535969421743510906737645523<236>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:1353001936 for P44 / October 12, 2022 2022 年 10 月 12 日) Free to factor
29×10300+349 = 3(2)2996<301> = 2 × 7 × 265112957044720807032739825186073<33> × [868153457018344205274114048969823051583170234653768724681012011399450104184918808625640137515291844629996664045210494220862547304587485210518504195473196110466756745620048236200278033279514089479266757580382379054698948024820147609189533968822118000432921663070795783<267>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3024977479 for P33 / June 7, 2022 2022 年 6 月 7 日) Free to factor
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