## 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, … }

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

February 21, 2023 2023 年 2 月 21 日

### 3.2. Range of factorization 分解範囲

• n≤100 / Completed 終了 / June 7, 2022 2022 年 6 月 7 日
• n≤150 / Completed 終了 / June 18, 2022 2022 年 6 月 18 日
• n≤200 / Completed 終了 / February 20, 2023 2023 年 2 月 20 日
• n≤300 / Remaining 63 残り 63

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

n=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 (63/300)

### 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> × 791727837926923378685595000604033267813564200586200404981<57> × 4693604928547269305548254506408438855855157004039606659540516489825396644782331773<82> (anonymous / ECM for P22 / June 12, 2022 2022 年 6 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P57 x P82 / February 9, 2023 2023 年 2 月 9 日)
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> × 5847048444096309935424550663280748902267635844344470073388268535006957<70> × 11841033357471311133692112140347296921263777572393385766819539558632982077<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3006226403 for P29 / June 20, 2022 2022 年 6 月 20 日) (Eric Jeancolas / cado-nfs-3.0.0 for P70 x P74 / February 20, 2023 2023 年 2 月 20 日)
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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