## 1. About 344...448 344...448 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

34w8 = { 38, 348, 3448, 34448, 344448, 3444448, 34444448, 344444448, 3444444448, 34444444448, … }

31×10n+329 (1≤n)

## 2. Prime numbers of the form 344...448 344...448 の形の素数

### 2.1. Last updated 最終更新日

July 27, 2022 2022 年 7 月 27 日

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

No prime number of the form 344...448 exists. 344...448 の形の素数は存在しません。

## 3. Factor table of 344...448 344...448 の素因数分解表

### 3.1. Last updated 最終更新日

August 6, 2022 2022 年 8 月 6 日

### 3.2. Range of factorization 分解範囲

• n≤300 / Remaining 74 残り 74

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

n=171, 186, 188, 190, 193, 195, 198, 199, 202, 203, 205, 207, 210, 212, 213, 214, 215, 216, 218, 220, 221, 223, 226, 227, 228, 231, 232, 233, 235, 237, 238, 240, 242, 243, 244, 245, 246, 248, 250, 252, 253, 255, 256, 257, 259, 260, 261, 262, 263, 264, 265, 266, 267, 268, 269, 270, 271, 272, 274, 275, 276, 277, 279, 281, 282, 283, 284, 285, 286, 287, 290, 292, 295, 296 (74/300)

### 3.4. Factor table 素因数分解表

31×101+329 = 38 = 2 × 19
31×102+329 = 348 = 22 × 3 × 29
31×103+329 = 3448 = 23 × 431
31×104+329 = 34448 = 24 × 2153
31×105+329 = 344448 = 27 × 32 × 13 × 23
31×106+329 = 3444448 = 25 × 7 × 15377
31×107+329 = 34444448 = 25 × 17 × 63317
31×108+329 = 344444448 = 25 × 3 × 43 × 181 × 461
31×109+329 = 3444444448<10> = 25 × 3709 × 29021
31×1010+329 = 34444444448<11> = 25 × 1076388889<10>
31×1011+329 = 344444444448<12> = 25 × 3 × 13 × 275997151
31×1012+329 = 3444444444448<13> = 25 × 7 × 612 × 83 × 49789
31×1013+329 = 34444444444448<14> = 25 × 109 × 4261 × 2317561
31×1014+329 = 344444444444448<15> = 25 × 32 × 1195987654321<13>
31×1015+329 = 3444444444444448<16> = 25 × 149 × 55351 × 13051411
31×1016+329 = 34444444444444448<17> = 25 × 71 × 150131 × 100981189
31×1017+329 = 344444444444444448<18> = 25 × 3 × 13 × 197 × 1401000766483<13>
31×1018+329 = 3444444444444444448<19> = 25 × 7 × 380819 × 40378720933<11>
31×1019+329 = 34444444444444444448<20> = 25 × 19 × 4861 × 11654401724671<14>
31×1020+329 = 344444444444444444448<21> = 25 × 3 × 744573307 × 4818817609<10>
31×1021+329 = 3444444444444444444448<22> = 25 × 769 × 1153 × 121398566625977<15>
31×1022+329 = 34444444444444444444448<23> = 25 × 179 × 247717 × 24275062866023<14>
31×1023+329 = 344444444444444444444448<24> = 25 × 33 × 13 × 17 × 131 × 6773629 × 2032920833<10>
31×1024+329 = 3444444444444444444444448<25> = 25 × 72 × 139 × 1217 × 25805071 × 503225557
31×1025+329 = 34444444444444444444444448<26> = 25 × 863 × 1247264065919917600103<22>
31×1026+329 = 344444444444444444444444448<27> = 25 × 3 × 1013 × 25583 × 52639 × 2630143262423<13>
31×1027+329 = 3444444444444444444444444448<28> = 25 × 23 × 47028314689<11> × 99513489304687<14>
31×1028+329 = 34444444444444444444444444448<29> = 25 × 886411699 × 1214321618389299811<19>
31×1029+329 = 344444444444444444444444444448<30> = 25 × 3 × 13 × 43 × 167 × 599 × 64164209763603824029<20>
31×1030+329 = 3444444444444444444444444444448<31> = 25 × 7 × 29 × 47 × 151153 × 74637750021778679093<20>
31×1031+329 = 34444444444444444444444444444448<32> = 25 × 59 × 505935611 × 36059686402847480161<20>
31×1032+329 = 344444444444444444444444444444448<33> = 25 × 32 × 1279 × 39117041 × 42627979 × 560783741341<12>
31×1033+329 = 3444444444444444444444444444444448<34> = 25 × 260921 × 9151619 × 45870949 × 982708053839<12>
31×1034+329 = 34444444444444444444444444444444448<35> = 25 × 3169 × 339662003436064654114512113881<30>
31×1035+329 = 344444444444444444444444444444444448<36> = 25 × 3 × 13 × 107881 × 632759502059<12> × 4043160297336469<16>
31×1036+329 = 3444444444444444444444444444444444448<37> = 25 × 7 × 60293 × 10195483 × 25014767323806486001033<23>
31×1037+329 = 34444444444444444444444444444444444448<38> = 25 × 19 × 13553 × 16007 × 1465993 × 86134907 × 2068040959511<13>
31×1038+329 = 344444444444444444444444444444444444448<39> = 25 × 3 × 229 × 6232327 × 94992011 × 4466837593<10> × 5924817707<10>
31×1039+329 = 3444444444444444444444444444444444444448<40> = 25 × 17 × 6331699346405228758169934640522875817<37>
31×1040+329 = 34444444444444444444444444444444444444448<41> = 25 × 3022405919664584213<19> × 356136441463938991253<21>
31×1041+329 = 344444444444444444444444444444444444444448<42> = 25 × 32 × 13 × 421 × 4409 × 180731 × 274238546276923019315554363<27>
31×1042+329 = 3444444444444444444444444444444444444444448<43> = 25 × 7 × 68791 × 747547 × 140864135141<12> × 2122758590990321311<19>
31×1043+329 = 34444444444444444444444444444444444444444448<44> = 25 × 1034783 × 34679924222744539<17> × 29994510649150696997<20>
31×1044+329 = 344444444444444444444444444444444444444444448<45> = 25 × 3 × 3587962962962962962962962962962962962962963<43>
31×1045+329 = 3444444444444444444444444444444444444444444448<46> = 25 × 523 × 673 × 271333 × 1127067265532557848080119770586127<34>
31×1046+329 = 34444444444444444444444444444444444444444444448<47> = 25 × 1277 × 8017 × 141707 × 1759516489837<13> × 421678812301199114419<21>
31×1047+329 = 344444444444444444444444444444444444444444444448<48> = 25 × 3 × 13 × 32441655793213772741<20> × 8507492735771050756917011<25>
31×1048+329 = 3444444444444444444444444444444444444444444444448<49> = 25 × 7 × 2917 × 3265687482370727<16> × 1614210304605729024374388853<28>
31×1049+329 = 34444444444444444444444444444444444444444444444448<50> = 25 × 23 × 10331 × 492053 × 1747623034343<13> × 5267922343910030749739407<25>
31×1050+329 = 344444444444444444444444444444444444444444444444448<51> = 25 × 33 × 43 × 191 × 16181843 × 2999684892615529440281874127990082773<37>
31×1051+329 = 3(4)508<52> = 25 × 71 × 1031 × 711874409 × 2518892443<10> × 28966596247<11> × 28310120753420101<17>
31×1052+329 = 3(4)518<53> = 25 × 269 × 883 × 4531648565800472741578384305316401457050730607<46>
31×1053+329 = 3(4)528<54> = 25 × 3 × 132 × 83 × 902821 × 22744494973579535411<20> × 12456763062904204201799<23>
31×1054+329 = 3(4)538<55> = 25 × 7 × 2711 × 5672070869415022863934704583911518621957574373657<49>
31×1055+329 = 3(4)548<56> = 25 × 17 × 19 × 11909 × 79783766005157857<17> × 3507331826644516840870089524311<31>
31×1056+329 = 3(4)558<57> = 25 × 3 × 216373 × 374187870448694336693<21> × 44315451594670671879664229867<29>
31×1057+329 = 3(4)568<58> = 25 × 35869091 × 3000881424312896272974659126123070386391695537779<49>
31×1058+329 = 3(4)578<59> = 25 × 29 × 10499 × 15359 × 1655222106157<13> × 2095758039289<13> × 66353359061158691951837<23>
31×1059+329 = 3(4)588<60> = 25 × 32 × 13 × 151303 × 30407511331<11> × 1082386458007<13> × 18474495086090853576640699367<29>
31×1060+329 = 3(4)598<61> = 25 × 7 × 832477 × 6368983 × 2900205907929048830755649517877631777131194797<46>
31×1061+329 = 3(4)608<62> = 25 × 647 × 1281950653673<13> × 3494616567149<13> × 7522168707923<13> × 49368623255782438897<20>
31×1062+329 = 3(4)618<63> = 25 × 3 × 113 × 394193582191<12> × 414348140053009<15> × 194399240952606374467031022022429<33>
31×1063+329 = 3(4)628<64> = 25 × 2179 × 43377467069<11> × 364220956849<12> × 3126675827492937955187219405120482111<37>
31×1064+329 = 3(4)638<65> = 25 × 4547 × 236725069032084646775651833932018669208024827114336681083987<60>
31×1065+329 = 3(4)648<66> = 25 × 3 × 13 × 1061 × 157874174251991<15> × 6473362892968592717077<22> × 254535387053017467920113<24>
31×1066+329 = 3(4)658<67> = 25 × 72 × 1891959274193<13> × 8503988858000894990241589<25> × 136533322845345914721592693<27>
31×1067+329 = 3(4)668<68> = 25 × 223 × 313 × 1399 × 2200207 × 7174399 × 698317977850257342709436204700206401128136873<45>
31×1068+329 = 3(4)678<69> = 25 × 32 × 97 × 587 × 1843117 × 11396302178913338344316077144693436003742755655964013567<56>
31×1069+329 = 3(4)688<70> = 25 × 1483 × 1754749 × 6299481919<10> × 31368608149<11> × 116450940586251787<18> × 1797504423711860339711<22>
31×1070+329 = 3(4)698<71> = 25 × 139 × 1457941 × 288979127 × 1226675503<10> × 218420863673<12> × 68600008471786009231970387480047<32>
31×1071+329 = 3(4)708<72> = 25 × 3 × 13 × 17 × 23 × 43 × 16415699220671563501516514066326711303812356569151906093558386427<65>
31×1072+329 = 3(4)718<73> = 25 × 7 × 61 × 499 × 223283 × 8393773 × 8476685942541031<16> × 31798147072881563558086840890738126217<38>
31×1073+329 = 3(4)728<74> = 25 × 19 × 15307 × 521319933913<12> × 2208337822128417649387<22> × 3214812740011215068547136481790643<34>
31×1074+329 = 3(4)738<75> = 25 × 3 × 113145730871<12> × 40944394986790441<17> × 774489119789011278615828355039416185359454333<45>
31×1075+329 = 3(4)748<76> = 25 × 3793 × 134219 × 245989 × 859521367463652598506797189005984232828111766234197118754303<60>
31×1076+329 = 3(4)758<77> = 25 × 47 × 6682606847509<13> × 2158187909982887<16> × 1587947651969206739225446442111571889777944589<46>
31×1077+329 = 3(4)768<78> = 25 × 34 × 13 × 44695687 × 4873735694951209343459<22> × 46925968459297527603210472554858929106168761<44>
31×1078+329 = 3(4)778<79> = 25 × 7 × 443847777325067<15> × 82803384460725890666318507<26> × 418397449449251230099618265972679383<36>
31×1079+329 = 3(4)788<80> = 25 × 839 × 29179 × 43968013180772973693094662748863663435554391305259696780514342379515469<71>
31×1080+329 = 3(4)798<81> = 25 × 3 × 96481981651660477201337<23> × 37187907022028017095432920257876304885045314820151353899<56>
31×1081+329 = 3(4)808<82> = 25 × 4428737 × 5017433821<10> × 1042553175560399687<19> × 4646323531146637098546186989433908968494744011<46>
31×1082+329 = 3(4)818<83> = 25 × 1811 × 113047531561044763633<21> × 5257625788637260451267298726586637226371570975544393431603<58>
31×1083+329 = 3(4)828<84> = 25 × 3 × 13 × 453745967 × 2549704788383876655421205063609<31> × 238562359504346331235313892874918015934617<42> (Eric Jeancolas / ECM for P31 x P42 / June 24, 2022 2022 年 6 月 24 日)
31×1084+329 = 3(4)838<85> = 25 × 7 × 1732469 × 15463229 × 64567913 × 1434260090540833771<19> × 6198132314873807381714042347480153459769749<43>
31×1085+329 = 3(4)848<86> = 25 × 3225518237<10> × 602800611989<12> × 30462919485067<14> × 28828071777152324477<20> × 630389400841109327046592920647<30>
31×1086+329 = 3(4)858<87> = 25 × 32 × 29 × 71 × 580858501370076568392903183254486476115098423662451507683821104575516102147152819<81>
31×1087+329 = 3(4)868<88> = 25 × 17 × 2117041 × 2990825093328484785211970217167676873992267533924747654554826868614339511913337<79>
31×1088+329 = 3(4)878<89> = 25 × 1021 × 45909350929092018543719<23> × 11262695711595038824244821171<29> × 2038918941626992236635584433047241<34>
31×1089+329 = 3(4)888<90> = 25 × 3 × 13 × 59 × 947 × 87017042453454157817<20> × 56767306732694991057428643539049034633383409003747244086575511<62>
31×1090+329 = 3(4)898<91> = 25 × 7 × 1968467 × 2964574729023235095166109330574641<34> × 2635000034884268254249367515776946761940752506741<49> (Eric Jeancolas / ECM for P34 x P49 / June 24, 2022 2022 年 6 月 24 日)
31×1091+329 = 3(4)908<92> = 25 × 19 × 151901 × 12286784697220704239<20> × 30354055512169337082017653742004649751641374275801400580869850129<65>
31×1092+329 = 3(4)918<93> = 25 × 3 × 43 × 471481897 × 299354078059241<15> × 8616920812316692079<19> × 68608384427212349796298113841682486679325036327<47>
31×1093+329 = 3(4)928<94> = 25 × 23 × 160837904094865087<18> × 1757520533571755419146947<25> × 16555890954525712490282973834496355846678396034587<50>
31×1094+329 = 3(4)938<95> = 25 × 83 × 619 × 493027 × 40906449414049<14> × 61054718061489932849819609<26> × 17014482548757422716205187432599290888534651<44>
31×1095+329 = 3(4)948<96> = 25 × 32 × 13 × 1784659 × 32335450155817<14> × 1594223426166070577447127966752593371929318653954780565556281554015207039<73>
31×1096+329 = 3(4)958<97> = 25 × 7 × 1070011 × 16477567563402482362051<23> × 146486785000782719073481<24> × 5953760701490853772301603529419845368462647<43>
31×1097+329 = 3(4)968<98> = 25 × 1602666291572261<16> × 2117634323873218511953<22> × 317157609493235394636665605076207245685475510938122881650933<60>
31×1098+329 = 3(4)978<99> = 25 × 3 × 919 × 23719 × 37340438957<11> × 4408152858779530425149521428239589289266877668826216994268140878902661757165119<79>
31×1099+329 = 3(4)988<100> = 25 × 13405967 × 8029177521389459551025963952386940001335889375894248351416118575324621408428716025400397367<91>
31×10100+329 = 3(4)998<101> = 25 × 55036780742550388875377467170432183897071578801<47> × 19557628087369292809877606841207392514058008585095689<53> (Dmitry Domanov / Msieve 1.54 snfs for P47 x P53 / July 27, 2022 2022 年 7 月 27 日)
31×10101+329 = 3(4)1008<102> = 25 × 3 × 13 × 4611067 × 33991396014741169274848307398531069782866017<44> × 1760897857715108131351930994666553026049065628109<49> (Eric Jeancolas / ECM for P44 x P49 / June 24, 2022 2022 年 6 月 24 日)
31×10102+329 = 3(4)1018<103> = 25 × 7 × 15137 × 471059966553475896551<21> × 3686717616001725567739675978792891<34> × 584945338147342118544997472439391267005131<42> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2741429352 for P34 x P42 / June 24, 2022 2022 年 6 月 24 日)
31×10103+329 = 3(4)1028<104> = 25 × 17 × 615555903542972060973541<24> × 102861483578691919145125883679427583188541801921471131831700977485322757342837<78>
31×10104+329 = 3(4)1038<105> = 25 × 33 × 193 × 49463 × 41760691321196826780450628849560607498663020959823099547551328358835993713100029526824054222173<95>
31×10105+329 = 3(4)1048<106> = 25 × 773 × 12970701619<11> × 570805753421<12> × 140226681012931821254923<24> × 134124231456364811282203534713479474757250902613217561609<57>
31×10106+329 = 3(4)1058<107> = 25 × 1949 × 3169 × 77682152244401<14> × 61513678905471603137<20> × 720640644741489523253603366599<30> × 50608495165798010857441870690012763<35> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:113465897 for P30 x P35 / June 24, 2022 2022 年 6 月 24 日)
31×10107+329 = 3(4)1068<108> = 25 × 3 × 13 × 12703 × 575242033534153267<18> × 98865491032494588774287<23> × 382034831022779469460466028297021535309991735244032154895573<60>
31×10108+329 = 3(4)1078<109> = 25 × 72 × 4969 × 201570227103017<15> × 99371671840167766358992352182057427<35> × 22070651218697970282509087335614044210470426846925891<53> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3134649830 for P35 x P53 / June 24, 2022 2022 年 6 月 24 日)
31×10109+329 = 3(4)1088<110> = 25 × 19 × 258782251200947101499758515060720599777<39> × 218917821916754365094922789690321420145553264463005680892271091023203<69> (Dmitry Domanov / Msieve 1.54 snfs for P39 x P69 / July 27, 2022 2022 年 7 月 27 日)
31×10110+329 = 3(4)1098<111> = 25 × 3 × 727 × 85743253 × 7455693117031763140847991477624235146952936823339<49> × 7720146835709248131531819990754235818380434152307<49> (Dmitry Domanov / Msieve 1.54 snfs for P49 x P49 / July 27, 2022 2022 年 7 月 27 日)
31×10111+329 = 3(4)1108<112> = 25 × 311 × 73471 × 341315827 × 13801822532962888233517117157975830172392247276351395725020147880027919530927403396204802788747<95>
31×10112+329 = 3(4)1118<113> = 25 × 389651 × 9219488471379682289<19> × 584364273075224061993609710857386034272523<42> × 512746765226201316259626256297986667743849337<45> (Dmitry Domanov / for P42 x P45 / July 27, 2022 2022 年 7 月 27 日)
31×10113+329 = 3(4)1128<114> = 25 × 32 × 13 × 43 × 585870661 × 3651851749626232110806539147232102206138993658953903071211212317364474826605753626471160977738556179<100>
31×10114+329 = 3(4)1138<115> = 25 × 7 × 29 × 174617 × 1096445002204776621062269<25> × 42330680667447487581112795705753<32> × 65425122037823492473429005025240706226763922114327<50> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1188543084 for P32 x P50 / June 24, 2022 2022 年 6 月 24 日)
31×10115+329 = 3(4)1148<116> = 25 × 23 × 197 × 745383908587<12> × 318709589511276894306277602220758711592332523570749194631626395780577404305808414454414541691935337<99>
31×10116+329 = 3(4)1158<117> = 25 × 3 × 139 × 39516450002278503905283622305931923829382209<44> × 653213615729539380028885417797141299942438832256405169160377269396313<69> (Dmitry Domanov / Msieve 1.54 snfs for P44 x P69 / July 27, 2022 2022 年 7 月 27 日)
31×10117+329 = 3(4)1168<118> = 25 × 2145631 × 5907234558276644914257836919427301178285434105537<49> × 8492390486519875079978443207715532980087865388363874695963687<61> (Dmitry Domanov / Msieve 1.54 snfs for P49 x P61 / July 27, 2022 2022 年 7 月 27 日)
31×10118+329 = 3(4)1178<119> = 25 × 1076388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<118>
31×10119+329 = 3(4)1188<120> = 25 × 3 × 13 × 17 × 3673605617229781595584781177<28> × 4419398329831299336029537493025677707103747496654540338342453054661252618573899131675239<88>
31×10120+329 = 3(4)1198<121> = 25 × 7 × 28051 × 23036502199<11> × 23796127117433045981215243487919426553923887450181493721014688644305093797184245350122853164912409896323<104>
31×10121+329 = 3(4)1208<122> = 25 × 71 × 109 × 487 × 6116491 × 46693137527730400654694697244129451086832587025072030688261050485783010321472305636818915548128843786478503<107>
31×10122+329 = 3(4)1218<123> = 25 × 32 × 47 × 6211 × 306443689 × 367774638724980913<18> × 95635376380237260713295474436003797905281<41> × 380116112244586956871370574536361241597661192189<48> (Dmitry Domanov / for P41 x P48 / July 27, 2022 2022 年 7 月 27 日)
31×10123+329 = 3(4)1228<124> = 25 × 1913 × 189887 × 145378883798348581<18> × 1831337887601553179951<22> × 9127223181551187098579<22> × 121941216207607713227320863439567738637062512057626831<54>
31×10124+329 = 3(4)1238<125> = 25 × 1076388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<124>
31×10125+329 = 3(4)1248<126> = 25 × 3 × 13 × 45955863017<11> × 3367127212522394662265018658325781<34> × 888740319037078195183334557251426259411<39> × 2006916322324979909833420112013875690633<40> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1102401863 for P34 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / for P39 x P40 / July 27, 2022 2022 年 7 月 27 日)
31×10126+329 = 3(4)1258<127> = 25 × 7 × 72763 × 164921846590987<15> × 904522007831423<15> × 30130413337801464973570511810221351219151<41> × 47017350574918225813856321810822630113822760794679<50> (Ignacio Santos / Yafu for P41 x P50 / July 28, 2022 2022 年 7 月 28 日)
31×10127+329 = 3(4)1268<128> = 25 × 19 × 811 × 222768559424149<15> × 2210760486559616077<19> × 11314941624897874998422293<26> × 12535649569350122352850175202624862601497665924638936004217360789<65>
31×10128+329 = 3(4)1278<129> = 25 × 3 × 479 × 2767 × 12923 × 124301 × 2650379 × 14464294130314497404959<23> × 62475336680371851165724064875261<32> × 703641556033824900786481270525602750351642710142877<51> (Dmitry Domanov / for P32 x P51 / July 27, 2022 2022 年 7 月 27 日)
31×10129+329 = 3(4)1288<130> = 25 × 126395237 × 2446966837987601<16> × 26501362888286149<17> × 13132342617797889281965587251037637810155391082585357065091434454572473391703704630602353<89>
31×10130+329 = 3(4)1298<131> = 25 × 1663 × 541817354436144186159587<24> × 64376255907365393089604527192918183401324361<44> × 18556596769823650466853266062759220519894475586372197261029<59> (Bob Backstrom / for P44 x P59 / July 28, 2022 2022 年 7 月 28 日)
31×10131+329 = 3(4)1308<132> = 25 × 33 × 132 × 255133 × 726157 × 110453162221837<15> × 273893689788911<15> × 420883007939722070123786030475273304914891114312955748965330562714676720332410244871209<87>
31×10132+329 = 3(4)1318<133> = 25 × 7 × 61 × 137940601973<12> × 8362591611682973981<19> × 15359425538565421485090211681<29> × 14227655890389073043016793761662064191261296448589949216561218773827019<71>
31×10133+329 = 3(4)1328<134> = 25 × 3001 × 13537 × 17431 × 7694753268797193749377<22> × 27242350809638411863541483591027<32> × 502973266230011455955954919009697<33> × 14416980019671090046925637624589949<35> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1946135654 for P32, B1=1000000, sigma=1:2184411932 for P33 x P35 / June 24, 2022 2022 年 6 月 24 日)
31×10134+329 = 3(4)1338<135> = 25 × 3 × 43 × 616153 × 137484802159963862706621863601679176237189870591893<51> × 985000011013645819818637859601846084300522939582982171102724218498546956829<75> (Bob Backstrom / Msieve 1.54 snfs for P51 x P75 / July 28, 2022 2022 年 7 月 28 日)
31×10135+329 = 3(4)1348<136> = 25 × 172 × 83 × 2473 × 8761 × 5409517 × 49435103 × 2394464899721957663<19> × 10760728317164179999<20> × 59824962230203227521<20> × 502445505920924816312628962742521240680354605402737<51>
31×10136+329 = 3(4)1358<137> = 25 × 174680553099917158575254416776929<33> × 6162041908999424625819852609038268732958889561789959777160492843846806458338365183254690349408333681241<103> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:100589155 for P33 x P103 / June 24, 2022 2022 年 6 月 24 日)
31×10137+329 = 3(4)1368<138> = 25 × 3 × 13 × 23 × 23251 × 7758558798181<13> × 860381542027153<15> × 3013018037592394735165791141690555319047596497<46> × 25660271946428352160208353120796740641868130228292012647<56> (Bob Backstrom / for P46 x P56 / July 27, 2022 2022 年 7 月 27 日)
31×10138+329 = 3(4)1378<139> = 25 × 7 × 3370865226335931073304831<25> × 23807178508860789933181888382468201<35> × 191611622688007627278116066176600573037763034432756419515286314407726099662617<78> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:888945888 for P35 x P78 / June 24, 2022 2022 年 6 月 24 日)
31×10139+329 = 3(4)1388<140> = 25 × 24917 × 1248947068949225862989<22> × 34588316214825096124520581311433060667593399474704758206495271986401007288493078543726202307748022446456088192553<113>
31×10140+329 = 3(4)1398<141> = 25 × 32 × 1195987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654320987654321<139>
31×10141+329 = 3(4)1408<142> = 25 × 12143 × 19276986077<11> × 26726103571<11> × 17205544859930948949372685323613085389144526502675746910048760527859477292290559411656423296864430709682886994391569<116>
31×10142+329 = 3(4)1418<143> = 25 × 292 × 813931 × 1576186303<10> × 37843170168647<14> × 1842238306256611389102782858323355345658899<43> × 14310168656990621456690022029919656765422009685827528691567736160201<68> (Bob Backstrom / for P43 x P68 / July 28, 2022 2022 年 7 月 28 日)
31×10143+329 = 3(4)1428<144> = 25 × 3 × 13 × 695853718887749<15> × 1433114115119229447433<22> × 9001168100519939359577<22> × 11532914668119836563919696681<29> × 2666047739536179457805360976146280390156889449005831419<55>
31×10144+329 = 3(4)1438<145> = 25 × 7 × 1794619 × 4535437 × 31037115365829149701<20> × 13452881251666101775559<23> × 4524630375318683055591949747482224919189299761436400043257802784533533485990746389232651<88>
31×10145+329 = 3(4)1448<146> = 25 × 19 × 191 × 118026611 × 25965853097<11> × 96783139334100123217832517143163590995127805394389527411686568686826900384495960948137614049749123018474082920287193266423<122>
31×10146+329 = 3(4)1458<147> = 25 × 3 × 54958084369<11> × 10299579495850845638927339<26> × 94722910988977763074147459467917<32> × 66917827760010923661386803068971248362480960209052763217024093917340232974029<77> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1010097733 for P32 x P77 / June 24, 2022 2022 年 6 月 24 日)
31×10147+329 = 3(4)1468<148> = 25 × 59 × 13461683 × 135524506651159680517405686725783965948601116483019964307921783538858174740866402747242672492555966906393060136999100019208554583630591737<138>
31×10148+329 = 3(4)1478<149> = 25 × 1747 × 413411 × 6310008072407918005671541<25> × 236191551048214701232201610358434001627386789290491452682662705393260113114746442103731923407288675956984131987837<114>
31×10149+329 = 3(4)1488<150> = 25 × 32 × 13 × 24726816968840423<17> × 2534510665661797129<19> × 1467982935033253243928486175229541153060582049175632800901049256197919986054079784742495484805621828101851345451<112>
31×10150+329 = 3(4)1498<151> = 25 × 72 × 632987 × 48174203326222529<17> × 1922309274614159855017469<25> × 27946595569187721716503076833<29> × 1340947029693859842015773375166576265685444725542154561863801572992063591<73>
31×10151+329 = 3(4)1508<152> = 25 × 17 × 5399 × 550117 × 5314694436811<13> × 33176732066553792572652177057816261907<38> × 8163420354539190018987353266211618545541<40> × 14810435380784526662439596581490151924513774755207<50> (Bob Backstrom / GMP-ECM 7.0.4 B1=10760000, sigma=1:1934259975 for P38 x P40 x P50 / August 5, 2022 2022 年 8 月 5 日)
31×10152+329 = 3(4)1518<153> = 25 × 3 × 1534513896028918964498904856409085690729103<43> × 2338175608737104160796527186311271113306134990241851749040743962367434361449697253044424371484147016425730621<109> (Bob Backstrom / GMP-ECM 7.0.4 B1=23080000, sigma=1:3782671387 for P43 x P109 / July 31, 2022 2022 年 7 月 31 日)
31×10153+329 = 3(4)1528<154> = 25 × 131 × 2104005672142307<16> × 1054054076245676813<19> × 702359707821143855375845745437<30> × 370425538528158286887027664486571191<36> × 1424057749793852401668106000778288309788256084588527<52> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3631557856 for P30 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / for P36 x P52 / July 27, 2022 2022 年 7 月 27 日)
31×10154+329 = 3(4)1538<155> = 25 × 1031 × 144056729 × 12866670799571<14> × 563262452784708579922373341964691381692775124616053488350288123365694914172022954337649780036998350775223025345759128517142071341<129>
31×10155+329 = 3(4)1548<156> = 25 × 3 × 13 × 43 × 4441 × 16070459347<11> × 3293448700426252042746246101800411506959<40> × 27307137467711277167185349299462616288420704383703800944789712348141378551116142633900655433833449<98> (Bob Backstrom / GMP-ECM 7.0.4 B1=13070000, sigma=1:2470358705 for P40 x P98 / August 1, 2022 2022 年 8 月 1 日)
31×10156+329 = 3(4)1558<157> = 25 × 7 × 71 × 37312067153<11> × 37945440074923<14> × 786343318492031093<18> × 194532295728939834179085519997074444533091115142378944262971721271715158160093295256597365981436408499595244511<111>
31×10157+329 = 3(4)1568<158> = 25 × 1561519 × 689321672607818981958521727170075348996002539123051905797424744040187079945161659184991594011272926483052008261755949744376398166713878530385406062231<150>
31×10158+329 = 3(4)1578<159> = 25 × 35 × 6818815025609154579657471757252206084742526147<46> × 6496119763120913750677168881013277562051239711259982222671570147673405772305084788926851485603673612122277409<109> (Bob Backstrom / Msieve 1.54 snfs for P46 x P109 / July 29, 2022 2022 年 7 月 29 日)
31×10159+329 = 3(4)1588<160> = 25 × 23 × 1662589 × 6782081 × 7685767 × 7405195209959476987032973<25> × 405143853529205156317393919920679089947318696605166103<54> × 17999503035145277315762264739626221520715936348739414842599<59> (Bob Backstrom / for P54 x P59 / August 3, 2022 2022 年 8 月 3 日)
31×10160+329 = 3(4)1598<161> = 25 × 729907 × 10081273578420395107714971565216810618489693<44> × 146280446378822597226335123057732816246618404447424919168511504323623878220909320793681056077679402657333125439<111> (Bob Backstrom / Msieve 1.54 snfs for P44 x P111 / July 31, 2022 2022 年 7 月 31 日)
31×10161+329 = 3(4)1608<162> = 25 × 3 × 13 × 347 × 2454658747544698656730642165376783<34> × 324029089340460613057585889025751807164916198041183151249856769156414314102295821802334093196591141294918123637332604988451<123> (Eric Jeancolas / ECM for P34 x P123 / June 24, 2022 2022 年 6 月 24 日)
31×10162+329 = 3(4)1618<163> = 25 × 7 × 139 × 10739 × 2032394676691<13> × 126152429331862750832569<24> × 1472343892962267767909436160726720253<37> × 27288495807302892773073206599496916503851154718222130461797692031337074229724165601<83> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3078236891 for P37 x P83 / June 24, 2022 2022 年 6 月 24 日)
31×10163+329 = 3(4)1628<164> = 25 × 19 × 149 × 850453 × 1963921 × 12997651 × 4509092101918224437935867<25> × 634834046972732339388095194455793588302495099407747<51> × 6118441570091739474104140900149933139388646450748281137432056537<64> (Bob Backstrom / for P51 x P64 / August 5, 2022 2022 年 8 月 5 日)
31×10164+329 = 3(4)1638<165> = 25 × 3 × 97 × 15371694128658728207231364680721541969218450931<47> × 2406326107384816191550787745028679757945780192410202866075045458011787859062635475490126953586751867810686196388609<115> (Bob Backstrom / GMP-ECM 7.0.4 B1=14550000, sigma=1:228273830 for P47 x P115 / July 29, 2022 2022 年 7 月 29 日)
31×10165+329 = 3(4)1648<166> = 25 × 23202391 × 4639129169441584226767357247315110278457461081872505677922973062943766825103882133909772009655767325397149323485191198135092581143421334848158057886744900079<157>
31×10166+329 = 3(4)1658<167> = 25 × 14568297523349<14> × 381439046633863<15> × 193702513187882372989169782646693505445797968298189886858878549482102446015982636260898951120329144688717096206440661954956179580849225347<138>
31×10167+329 = 3(4)1668<168> = 25 × 32 × 13 × 17 × 257353 × 6593369 × 24046003124821892894196043814627243<35> × 132634011998234892342992114161561218780141823148676376244205852517027688130479552397581590948242275993023191325467151<117> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2541945033 for P35 x P117 / June 24, 2022 2022 年 6 月 24 日)
31×10168+329 = 3(4)1678<169> = 25 × 7 × 47 × 327169875042215467747382640999662276258020938872002701789935832489023978385680513340087808172914555893279297534616683552853765619723066531577169875042215467747382641<165>
31×10169+329 = 3(4)1688<170> = 25 × 12437 × 3973757 × 209740994627<12> × 103841019328891754602829331880640699931186755488294524800660275582992489141256270653612465251473995853955050200962511848189746334895137386265375123<147>
31×10170+329 = 3(4)1698<171> = 25 × 3 × 29 × 827 × 6203 × 153953 × 240659140577<12> × 9962567806074781<16> × 65340259483818260423823075733652045597097618046652218831399486632291611615563244100546618796208155273897249385548113458704570867<128>
31×10171+329 = 3(4)1708<172> = 25 × 15356272206697<14> × 1669510742009404586274424560662591<34> × [4198500279845714241980673784390918311193382426123115519891757829257058044686344754000329563149575292025659351991041134500207<124>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1305994605 for P34 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10172+329 = 3(4)1718<173> = 25 × 31357666630413212529823<23> × 159967321833851780572620053531733458162092836832021<51> × 214582446969910783039254969313297070911779446782785698635181483852375184714465873288865063910871883<99> (Bob Backstrom / Msieve 1.54 snfs for P51 x P99 / August 1, 2022 2022 年 8 月 1 日)
31×10173+329 = 3(4)1728<174> = 25 × 3 × 13 × 1699 × 68997255085913660180032801127380397489421119135396918207<56> × 2354395432752068198393398129274628355646429342787411020028756225096516158107245403970221975650407346217213344107<112> (Bob Backstrom / Msieve 1.54 snfs for P56 x P112 / July 30, 2022 2022 年 7 月 30 日)
31×10174+329 = 3(4)1738<175> = 25 × 7 × 113 × 11505316587778779740090587014826486778859968371785799<53> × 11827532472516138902471774259337279996894442957583134700982580515360007220797797088666712227620938696859451533556431321<119> (Bob Backstrom / Msieve 1.54 snfs for P53 x P119 / July 30, 2022 2022 年 7 月 30 日)
31×10175+329 = 3(4)1748<176> = 25 × 132616906600590436837993928224517484935987<42> × 8116528401093745550571145532681139998966332481294495444929992628142780759646287436517093144731453447881935325423093347068637406392547<133> (ebina / Msieve 1.53 snfs for P42 x P133 / July 28, 2022 2022 年 7 月 28 日)
31×10176+329 = 3(4)1758<177> = 25 × 32 × 43 × 83 × 10759037 × 4973261437605719<16> × 6262755507193093851798066781356755331125161416731689476061123241730262854386930104846683026122333521273119439196649526629661748301220603577579382003<148>
31×10177+329 = 3(4)1768<178> = 25 × 359 × 10169 × 5715487 × 130841226698840054911039<24> × 652899415852904316266693<24> × 1260211837749785929609421<25> × 148237000497679454837106884059453650967723<42> × 323260178317636722479202438204460336158295520832677<51> (Dmitry Domanov / for P42 x P51 / July 27, 2022 2022 年 7 月 27 日)
31×10178+329 = 3(4)1778<179> = 25 × 3169 × 4219163057533591<16> × 4482935748283129826574460240612910664413025591977322402440369423<64> × 17958007254516714116509288341551187802218584303563099203481512539880765427723593333999142326017<95> (Bob Backstrom / Msieve 1.54 snfs for P64 x P95 / July 31, 2022 2022 年 7 月 31 日)
31×10179+329 = 3(4)1788<180> = 25 × 3 × 13 × 275997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997151<177>
31×10180+329 = 3(4)1798<181> = 25 × 7 × 3533 × 596904701 × 164428524103690909207367793049317878131964759985294501342378515789340718097<75> × 44345072652597214762989438945362287942331393552773577787621839394617574177995447326471516327<92> (Bob Backstrom / Msieve 1.54 snfs for P75 x P92 / August 5, 2022 2022 年 8 月 5 日)
31×10181+329 = 3(4)1808<182> = 25 × 19 × 23 × 421 × 11103831621553063<17> × 2873787271400821366961<22> × 183348849389639446948821017454612223807699969092664433256228724044919903035062565045597083457862254729519939607204283257677239693805001399<138>
31×10182+329 = 3(4)1818<183> = 25 × 3 × 32563 × 464351 × 381277997923961<15> × 622351029688897748662192978202395654978088626062165985317391706910185670539291746277623243108327482734701576643563711698393515081186935175520163579619473591<156>
31×10183+329 = 3(4)1828<184> = 25 × 17 × 3433 × 10424753 × 227851873 × 947741009 × 1304494367978353<16> × 628052896811550649256915814924394892850249054417507975347371749270647521883880614155101960339122718179425072175589599700218130647943637873<138>
31×10184+329 = 3(4)1838<185> = 25 × 29303 × 489052746499<12> × 536673911464656527437<21> × 139955810832923956979075410703920198137790111320796690506404007339225455738088741707909915955263107908300449092999541694165426643361934413204714201<147>
31×10185+329 = 3(4)1848<186> = 25 × 33 × 13 × 659 × 256914425795444470994048371724487446600018681<45> × 181129081296818323441517559526766727456134928799330693699716255458374169117331936445485759439775671994424850106764666398386695211492741<135> (Bob Backstrom / Msieve 1.54 snfs for P45 x P135 / August 3, 2022 2022 年 8 月 3 日)
31×10186+329 = 3(4)1858<187> = 25 × 7 × 389 × 35093670709568901523354987759127<32> × [1126400327411708275758022980830534964340137262611160530305071636245530136988727185799717507443064896985816832432001509584179063558487310405138538293509<151>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2968888583 for P32 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10187+329 = 3(4)1868<188> = 25 × 152090929350326043768258329258051853017512554639124251533<57> × 2214490203462391676421045780105156239209974141992250809385473461<64> × 3195892253375316811900124829507865038364778777684272695321858239753<67> (Bob Backstrom / Msieve 1.54 snfs for P57 x P64 x P67 / August 3, 2022 2022 年 8 月 3 日)
31×10188+329 = 3(4)1878<189> = 25 × 3 × 181 × 7747484628277<13> × 676718509108508335603<21> × [3780947073895135501489569451404498651949564294842820015598862401821299291070679801432757255223493352907912486751534191042208164672779471197388977121833<151>] Free to factor
31×10189+329 = 3(4)1888<190> = 25 × 967 × 474647 × 196162318931969556108698160813599<33> × 1195518785937720130514776849443217146170869154860211736357427848313257069924330082847633416907752732508018985175214008889046915514800419802449621639<148> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:57302133 for P33 x P148 / June 24, 2022 2022 年 6 月 24 日)
31×10190+329 = 3(4)1898<191> = 25 × 5003 × 6432619 × 694993759 × 5476564978249<13> × 70507663732361<14> × [124630804925567169703565834498245646349621886896765198677651080276787680260136094875429051006270325546060424523743147204206410135681484213360527<144>] Free to factor
31×10191+329 = 3(4)1908<192> = 25 × 3 × 13 × 71 × 691 × 1844813 × 3049410227903239578885091850823205959988407886740476271022168693138601016898290710311815425867139176829032113730267239981258350383626942123255788076909004852744086246607997171007<178>
31×10192+329 = 3(4)1918<193> = 25 × 72 × 61 × 36011672428534255232147503810267276309430876175606854763763428868815285677112375004646667410133452288019032749711906620571725958142819969517861789524552990595145161889892569049477714583101<188>
31×10193+329 = 3(4)1928<194> = 25 × 4153 × 9059 × 157433 × 167981404564060686880050432217<30> × [1081857439073657157295502956910278336829860180559752518324780180274150590776625703581028434660139188369839679547486401626429293695246240933049738226587<151>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3129991359 for P30 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10194+329 = 3(4)1938<195> = 25 × 32 × 503 × 9787 × 191119 × 148033849 × 18624837582563<14> × 22025066484312891557491<23> × 147661430096310217085629286201856367<36> × 1491095827185823708441802897353967629807<40> × 95074024990386085069838433833247793645218423858009884582940203<62> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2371822272 for P36 / June 24, 2022 2022 年 6 月 24 日) (Dmitry Domanov / Msieve 1.54 gnfs for P40 x P62 / July 28, 2022 2022 年 7 月 28 日)
31×10195+329 = 3(4)1948<196> = 25 × 167 × 2063 × 11971 × 52767488950733659<17> × 85325675102395691246747945483<29> × [5796647818457536780515259849094622179996144117604153398733646074205306403145639939570279659627524744470768582248175518332974599102586757507<139>] Free to factor
31×10196+329 = 3(4)1958<197> = 25 × 1103 × 312367145448985314071<21> × 3124124587162785164510350723049536637443576803704254936562870454546315731727014050638086298236203047642153637089932992539041495290625362552185089415415764046241722440037153<172>
31×10197+329 = 3(4)1968<198> = 25 × 3 × 13 × 43 × 27517586876786306098973<23> × 95830976735099175643481033542967803<35> × 8261811427365105123141516782404191643<37> × 294608046541604261064498179676510303821698578908741329232877432830292261067240761626005285469360521<99> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:112715447 for P35, B1=1000000, sigma=1:1789433184 for P37 x P99 / June 24, 2022 2022 年 6 月 24 日)
31×10198+329 = 3(4)1978<199> = 25 × 7 × 29 × 233 × 2086519 × 124025766052781<15> × 1169046457739013486943273<25> × [7522309789185267151435848573696365950973632312271596021196786029753542443899013074287104012474573063021736319674678740304355704100509081118630512913<148>] Free to factor
31×10199+329 = 3(4)1988<200> = 25 × 17 × 19 × 186587 × 492647 × 51304223 × 2283626987<10> × 10755959823907<14> × 17811709935419<14> × [1615163131180907473272173305541638455251852766224682753853768780115520125122346447398349494214299196060173564602005885477588926311723829651939<142>] Free to factor
31×10200+329 = 3(4)1998<201> = 25 × 3 × 179 × 4783 × 7283 × 499067 × 9558877 × 11089957 × 48527851 × 132933083 × 383330889881<12> × 61202339635519<14> × 48980158912710709<17> × 177875871909147102671<21> × 19522417211773698036435569633216380741<38> × 422524445164413373258350334046196602148707894152432567<54> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1811578580 for P38 x P54 / June 24, 2022 2022 年 6 月 24 日)
31×10201+329 = 3(4)2008<202> = 25 × 5979519941<10> × 70960110000140087<17> × 8841997476593589252949407187<28> × 28690506865492764118196628994728264779279690113543501863054587266463459582288393474591574488821493781886254590496387747188710848437024763406607441<146>
31×10202+329 = 3(4)2018<203> = 25 × 7995186916455169125282847715723<31> × [134629609055610182497186166896925926846341522904622968149004046755234878709913022858315795992195715838341027086832090465432297567617379928393964826147794368247382441373643<171>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3645474252 for P31 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10203+329 = 3(4)2028<204> = 25 × 32 × 13 × 232 × 677 × 6823 × 2058864553331156626483<22> × 11964004191402090269329<23> × [1528478376910990296620527792551916208531092714403231794067748251192886794707868541775000949980181546145126946153110288674506103270193904281448541309<148>] Free to factor
31×10204+329 = 3(4)2038<205> = 25 × 7 × 4903 × 1916150089747020447205901<25> × 1636740198918585246546091731653165444706832929232802734852629227875869050493582029222447020631715530283667250148462208005784092109953368101835527861808319983432798712410416909<175>
31×10205+329 = 3(4)2048<206> = 25 × 59 × 8439587311381<13> × 49459470261121633846619<23> × [43706549681221835233965700396215417511689450776764468530913301357804961012278689163091488866218827800161430275121565269487700764649251776399618261664044900529907563389<167>] Free to factor
31×10206+329 = 3(4)2058<207> = 25 × 3 × 848251 × 31358611 × 10981225571<11> × 149354236300690163<18> × 82242896084740987631588507876085490247909557777823713203176447007283546363345278613086137209443594928969420442045823499615656220026882554348397606870983878663167371<164>
31×10207+329 = 3(4)2068<208> = 25 × 19306093 × [5575384356062559570643780121067938960456105173060592264260246176628740413137390816924423232027779462622959958231263512969138234695590085932399107830304603261203024811332302651234969648643507979003773<199>] Free to factor
31×10208+329 = 3(4)2078<209> = 25 × 139 × 94903418989<11> × 81596691020507232344659485473185517509446735919264348007477212326072768107820107708222852532245328563084227058447982972108482768365294657058267270472901633161518764367926412648768848714089403159<194>
31×10209+329 = 3(4)2088<210> = 25 × 3 × 132 × 1619 × 13113372499508290832470050410849574625884788853382952304413795362624174331305989024428707043806582933299329935430092222034066477455083907309877756972354777267591445384004893673730087470763101494322095833<203>
31×10210+329 = 3(4)2098<211> = 25 × 7 × 257 × 210439043353577<15> × 33819287546072681<17> × [8407120448615020472222492718653587129608611056789921482654553372725810838045525557332856032789855653349362009485503175250468750552992469434733147983470594007567786129669940303<175>] Free to factor
31×10211+329 = 3(4)2108<212> = 25 × 221158039 × 627862451 × 4534879267<10> × 1709370620592683327149592128755420345979845646065799369038522377360416837516623319761620473837602673969265021504177684582022753936207758929370101697960754102832111734969125163846169703<184>
31×10212+329 = 3(4)2118<213> = 25 × 33 × 11714159725571<14> × 1385704150565699<16> × 25261667898088782675439344223278359<35> × [972213755078706676154338957772612658244889692728868643427941349745471972921585489204794006926716568540639191339267565455511983714883569227573967637<147>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:728670735 for P35 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10213+329 = 3(4)2128<214> = 25 × 197 × 769 × 155387 × 121784251 × [37546618387728452977952569611239422948687880509351234178758153416410577973732710431441599460831585884401600194862061303234384734347130444340940187440779290102532026837202461685953756169912069229<194>] Free to factor
31×10214+329 = 3(4)2138<215> = 25 × 47 × 5076833 × [4511058617243285871785970676990233741795616621827069971633005906286789123652016115914418806390523169174473697957598339102303265319267869794102325456235232228894821805242827435541304140010157735205295954039<205>] Free to factor
31×10215+329 = 3(4)2148<216> = 25 × 3 × 13 × 17 × 439 × 2922297139<10> × [12655135062529582242216152649754929333376680670209797939730165984384427385752898825222140316759472102996494315614379810567932453131952047503887172155044292088829800750755679720934184512991863083975443<200>] Free to factor
31×10216+329 = 3(4)2158<217> = 25 × 7 × 6121 × 17249837639<11> × [145634334259928818677228681377878375910272888679161489171052448793910268773111873783084722931839274509203988138647498635638417641801722329255319336296493408120348940142059160858157003060482212048318433<201>] Free to factor
31×10217+329 = 3(4)2168<218> = 25 × 19 × 83 × 3743428154648160807593<22> × 152628082945137527591711<24> × 869902948081594916819760263<27> × 34448481158960111833030620330980966540399<41> × 39865083655290197047019675463513900053634949815003847076663135599240557433760012644934211859034447807<101> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3873504258 for P41 x P101 / July 28, 2022 2022 年 7 月 28 日)
31×10218+329 = 3(4)2178<219> = 25 × 3 × 43 × 431 × [193598605890193868394915176332108291316190738842225379753033128093830624451678787188418656610530565098093291046401713859761666376893269463279715262664596285704579019206980141529324068578371713320183616411965842711<213>] Free to factor
31×10219+329 = 3(4)2188<220> = 25 × 4829311005437<13> × 2566382556914447<16> × 8684856292000958619717429094041319769602527240954407371791771664009510918426036079190271703849574817400260930051281186969667348341457522559254201146419618796450315004127432350258300646992451<190>
31×10220+329 = 3(4)2198<221> = 25 × 5077 × 269209 × 39019171 × 162765451 × [124003003323661027624632339138012929284902905255457806121675081113931217913540585596418206730725369444183066742300546160831506180974419559270036159827500269788133407657354353626344172868811997213<195>] Free to factor
31×10221+329 = 3(4)2208<222> = 25 × 32 × 13 × 7481 × 1248995220598647156559<22> × [9846069864919909419548926762294515405121663327987010283124106313970299646982540266612369733226018178835016749502476850042628759033464581029143819085878521989025312870390555298800089331264085523<193>] Free to factor
31×10222+329 = 3(4)2218<223> = 25 × 7 × 5569 × 41878217 × 9932184859<10> × 30059401462637<14> × 56149967048771349473679149<26> × 3933065115779483818238239806288129235170233318693839258807124353774939222023392261314332721318806347813627086395005975059027176349225114288326730566917709471997<160>
31×10223+329 = 3(4)2228<224> = 25 × 151902469 × 583607831 × 2942212791487<13> × 2661064405753316741761207649<28> × [1550792875955819680717152726324109851843883280027394925478417312464916870702705687434165517778042942307911033436473288222253570650399117115935378812524871216251574077<166>] Free to factor
31×10224+329 = 3(4)2238<225> = 25 × 3 × 389261866818466516131636779149<30> × 9217350243650299978465932028570968914259765241681875906093362291549313616829817615521016971775199696352878878208202269784452893025359287607278504578248119686039017004244031844103002131069773087<193> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2399090632 for P30 x P193 / June 24, 2022 2022 年 6 月 24 日)
31×10225+329 = 3(4)2248<226> = 25 × 23 × 1562287001173<13> × 5887237902632548601<19> × 508825613392227057255202389658298936368822667044271599685299879466438358809432277147018177357852037465760700182449000320205015439507618353288825164528351575691258005557041079513729003747039691<192>
31×10226+329 = 3(4)2258<227> = 25 × 29 × 712 × 941 × 37332941 × 356309563 × 157319560551150457976540259620633<33> × [3739060395627450211467225162882645950250766605934689628251268654773109329591429920300460235741315210479745113998013102741365521261495001894658230520107784792209667247399<169>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2240655136 for P33 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10227+329 = 3(4)2268<228> = 25 × 3 × 13 × [275997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997151<225>] Free to factor
31×10228+329 = 3(4)2278<229> = 25 × 7 × 8741 × [1759179055827036607267702108109384164755403744077808830125498698888471225732408663423421460259350660906546960774165899437607480165539884107553710573959973342195055957783334513685732081796605306501199419629805169217135811347<223>] Free to factor
31×10229+329 = 3(4)2288<230> = 25 × 109 × 15748112242108327769<20> × 627067376024551185831631388797115446070056864782438577410898422736066546975339107376273496192886622593117257697004801022630787516270766506796769704298326427066322784618397871367264999193880462693165848397509<207>
31×10230+329 = 3(4)2298<231> = 25 × 32 × 291770029 × 348568201833077<15> × 72078911804902529<17> × 163151109189278749074827931728118842688644941834727498000000288668926173558806100339011466977458920700656834144130311891137360625759619326999812788338960092637485788482183678363207151205153<189>
31×10231+329 = 3(4)2308<232> = 25 × 17 × 12538968611148008557465401797<29> × [504961735112400792992201379664885665012297529576869367317599123365430799267105428899156556816425718350475223741775007093288050860714887900113849605200405733441028095629347766645645505590959906218304661<201>] Free to factor
31×10232+329 = 3(4)2318<233> = 25 × 537149623921381<15> × [2003890240173439525075576578846875715101033768450365819730496915083535134068792232076929212152897246781164120359837077475937914987667666741779815860879903049239416365517259608338644805673111305884676979027795630185669<217>] Free to factor
31×10233+329 = 3(4)2328<234> = 25 × 3 × 13 × [275997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997151<231>] Free to factor
31×10234+329 = 3(4)2338<235> = 25 × 72 × 5483 × 26431 × 3418144343440658178438991<25> × 4434563591501735610941596105067153545506340114786619846868240539506660961608675363333972907008722529866001497153611345169462608485509517633095863639246656064562392873617370443124496978600365541276427<199>
31×10235+329 = 3(4)2348<236> = 25 × 19 × 552502145677<12> × 11793680397293<14> × 18019619965366952853450737629<29> × [482488153115015803038147212955532067696752342694678911831677316199695162896850530601109370668273463848577438899860521526258863792056830663674212710898424231217488544405320186316199<180>] Free to factor
31×10236+329 = 3(4)2358<237> = 25 × 3 × 509 × 91835932477<11> × 1284338865331<13> × 438345935754718763131<21> × 6883753849326388791047<22> × 17225333918507321710942999<26> × 5327046135192311634213102925441019<34> × 24425189313793278923607425298502191833<38> × 8836973269497785575240428780697939770398095885494120111281429652899401<70> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1295066008 for P34, B1=1000000, sigma=1:2482533960 for P38 x P70 / June 24, 2022 2022 年 6 月 24 日)
31×10237+329 = 3(4)2368<238> = 25 × 12547 × 157793 × 10289012882081<14> × [5284061503897680424630466164397068745562886954769410387193350931940002013806559484607670033905772244730152466408203301186077480638173930367435050126448959024445523015282484136999101868518060153730775855119831608339<214>] Free to factor
31×10238+329 = 3(4)2378<239> = 25 × 25643 × 1193997877<10> × 9000612565297<13> × 1206761736322178016272619505183<31> × [3236705756080864862366757689640845664088960249881508517177052494771082704833105382289335125218636020103001761208769950164602721906177325950789371451509775511916531117092511137477649<181>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:514480477 for P31 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10239+329 = 3(4)2388<240> = 25 × 34 × 13 × 43 × 12379 × 372677 × 5653993 × 2410735759<10> × 1235360607845677984538755304033<31> × 3060240795569358936423543867426193662782291792648295112666419203195686463641681529117082073204994125286192426717994083045929053467793832002645313460336511602792151936851757737687<178> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3102494322 for P31 x P178 / June 24, 2022 2022 年 6 月 24 日)
31×10240+329 = 3(4)2398<241> = 25 × 7 × 191 × 55318141013<11> × 201271435307<12> × 3002516647290151070886786949105656427<37> × [2408256017386627725656875802918013530661908136457194019922094182712114779832091138723330296374362765907320295480518596501193740314862005537146670298205666168237124879506334909221<178>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2148855940 for P37 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10241+329 = 3(4)2408<242> = 25 × 383 × 48889 × 1131617 × 5645137 × 8998815107487648500821507528561685737125695764921754988724399342839022799865607788689681484522599588816817435193515066765477835688860528587712664096716188961327843133359408026783167525217026434523509313558404069375157743<220>
31×10242+329 = 3(4)2418<243> = 25 × 3 × 2243 × 1059881093<10> × [1509251210449284232729190469813504219181465021167572067927157899473753197124654782357541090418610649075875285705670867266970625568276250489176897013337734985125130361656237371505477683980685669862993352824791801755384487820746237<229>] Free to factor
31×10243+329 = 3(4)2428<244> = 25 × 337 × 1437379 × 2461140947825051275493<22> × [90288309882456178540012971719477355201763835346149915314617292992490976232008510577402874647102331531385539169503917635828869051258860742462193494965907629167675564342363167258438688116296633736364394805298192551<212>] Free to factor
31×10244+329 = 3(4)2438<245> = 25 × 2203290092219<13> × 3543994970271204403338913<25> × [137849256391021628190115132521291627588696114634835499865413126493421338576572109273228100934901756025920070318534449189341379652741412444024448568955240683660844157005619135707410485553015131196759570982587<207>] Free to factor
31×10245+329 = 3(4)2448<246> = 25 × 3 × 13 × 263 × 1559 × 535523 × 9386621 × 4293280507902986808427<22> × [31190767388747773199548905899397309090895885717544252744850186974929754997349623959314512778780355269801808874605986564707304182299190770767577947960701423906530381111100698317209868306609534232715227083<203>] Free to factor
31×10246+329 = 3(4)2458<247> = 25 × 7 × 3019 × 122789 × 317330336958130337<18> × [130718482549670439187267538853202816279885778558287469428703726839862814953015860194951137533840786185031255720823968948967523299315338800211589308046318172728290090278852382478262365291602944476605946669008989770839481<219>] Free to factor
31×10247+329 = 3(4)2468<248> = 25 × 17 × 23 × 18671 × 175236470683<12> × 54074276322007237<17> × 892688464408073197<18> × 223800134540681650281971299466902561<36> × 77884204780265682938343500661279524735747541505402607170161024835031651960782164811628251054618697972875042413054314609520546786793659107065635277622982454307<158> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2470821798 for P36 x P158 / June 24, 2022 2022 年 6 月 24 日)
31×10248+329 = 3(4)2478<249> = 25 × 32 × 75521 × 3817279 × [4148633419735858072827474506396325000334502560036422724773455987237634531026254671072332692137451380987112121783039871553363076474496374782433256598064992885600637022498335924368104745762354303490275175190413514671888494531471837045519<235>] Free to factor
31×10249+329 = 3(4)2488<250> = 25 × 2495909583938139419<19> × 43126117060319239331273087126139860011922419428669927604906419826366730466458216843248595496813570845183212385972625624779664198017377745348303820733517809435193124669854714347766026569346564656859021928783239778005981135179875131<230>
31×10250+329 = 3(4)2498<251> = 25 × 571 × 2789 × 3169 × [213285997489552497718716143343344704168751377121223121145346249493273118147828693683444061963789514524473469351458773390906559773080047331791842257242772887522631827006217119544548566212255139005012601586332029180068080608145608350452405599<240>] Free to factor
31×10251+329 = 3(4)2508<252> = 25 × 3 × 13 × 293316051681931457192094271<27> × 627748755509536183770051817<27> × 1498935372202677592944844824022683808493055496950492491585898077940946655821080938162150651540323992067180255806771363605313684958106613162953992218829515551811831188188114439363074303279563839993<196>
31×10252+329 = 3(4)2518<253> = 25 × 7 × 61 × [252081706999739786625032526671870934166016133229247983346344002081706999739786625032526671870934166016133229247983346344002081706999739786625032526671870934166016133229247983346344002081706999739786625032526671870934166016133229247983346344002081707<249>] Free to factor
31×10253+329 = 3(4)2528<254> = 25 × 19 × 1459020489994490470503616226073043<34> × [38828821919998984753003786829532333492561961848021593692577677687287979434390311412388427634324795583255935903541706484608425106252520045431824904904631217748232710841374923980673308087194400451954240469261946928288017<218>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1378468824 for P34 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10254+329 = 3(4)2538<255> = 25 × 3 × 29 × 139 × 12823 × 115619251169<12> × 57489485209897022743<20> × 5952584701458514658153<22> × 44529200049245607350717311<26> × 35836664466793723898269380679897<32> × 14616729942375989831994624904073587<35> × 32851091275328454469885966546479343711<38> × 2289543279067985158050420465323131733612402870266177431351066479<64> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3699209029 for P32, B1=1000000, sigma=1:578462849 for P38 / June 24, 2022 2022 年 6 月 24 日) (Ignacio Santos / Yafu for P35 x P64 / July 28, 2022 2022 年 7 月 28 日)
31×10255+329 = 3(4)2548<256> = 25 × 557 × 982722720514739<15> × 14138187155728539512695925470879157<35> × [13908787996493759359874753255746073494682459684209743018254489423816829917659864271826332259761933653537476608459139054449463046378509178570436992963531788940854313517376315907641502641536159010164659699<203>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2602401357 for P35 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10256+329 = 3(4)2558<257> = 25 × 8628419123<10> × 35318170910709094912937<23> × [3532155132333386750904157201062444176874214341728463280795840550706834036687665460606696003853667339668009366241401301329139221375184248476765515901451242868680715691696331875956144964956840091870650813880050127131125588139<223>] Free to factor
31×10257+329 = 3(4)2568<258> = 25 × 32 × 13 × 1031 × 1268341 × 151899574415881<15> × 343034804584732086514269767473<30> × [1350186944396552978440248041265398569708229945809121715140217441674494085238944929240523617710725242542151050659303977229491516882091908680101122532601348302906963753808939888486062254469387061743116079<202>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3431638643 for P30 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10258+329 = 3(4)2578<259> = 25 × 7 × 83 × 821 × 2273 × 5653103 × 1274498185374905401<19> × 13779211331916904433336968184716243777313440439686991651773533778767223085846931017315098637342007140195147521349487170097486804945593938476333109216277120025954920742259274610591183924631595961924787574838640729211691549431<224>
31×10259+329 = 3(4)2588<260> = 25 × 2496802315757<13> × 8788649579551<13> × [49052697942203111731566044418982806109478086134762121202558947708916010935491449594351469445921044257413726155980995483686516213984786217197886535685241740412658716665198685024272846597051158772040042326002755571379344698432364413027<233>] Free to factor
31×10260+329 = 3(4)2598<261> = 25 × 3 × 43 × 472 × 97 × 1109 × 270060932051<12> × 506247283549577<15> × [2568360791864071991515958795434520772723468334908040200406049546590064488106927756686673298937408361507641957985975109366821133492932492892291379065291541356080967141366075606248388042541890086299964794384765940016735437119<223>] Free to factor
31×10261+329 = 3(4)2608<262> = 25 × 71 × 3449 × 731737 × 1247528355900297694081<22> × 246057003237564105433624752066641<33> × [1956935408262856850185084547177322388476909555719739424938016968799993731066647717025510635472509991780076237618173215383703789421586346082285774970178757883441003946495364713012944164526613689183<196>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1908309945 for P33 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10262+329 = 3(4)2618<263> = 25 × 509644915371692403675059387615359949<36> × [2112036942630656485667038732546765672270516213293103262931476234664695029226451083704995018335641059783679640160864282649512276977895061395189639681347172360719702456642654515019383378939951843168832097746028645530836394668061<226>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:902303052 for P36 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10263+329 = 3(4)2628<264> = 25 × 3 × 13 × 17 × 59 × 6904910603<10> × 2334916464314033<16> × 114769736893715208573950408011<30> × [148712293745796031221306946166791598659295954445015871900643177824875125931026011035593229582942736707726759372375859372043683099758997080834333682630635098523530574319048016170523435284178625181667362453<204>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1852468768 for P30 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10264+329 = 3(4)2638<265> = 25 × 7 × 413477 × 2945292393695027327577097852167583<34> × [12626744528781929056335452993001604524241377936846861697838067992525001414746522363870392080592799767484826157115925491235204044852584846665428440622124895255937272607956954725081362561067684755798687702367091908675892656397<224>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2832994938 for P34 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10265+329 = 3(4)2648<266> = 25 × 1097549 × 35795189 × 206533304413<12> × 1089688980733249654981166750513999<34> × [121738508067252821797748889793554809227439542716373862917150018839729795557871745512598838942918805820615295156550920195014551295676633979334115161611426756734329728960642608324409947209690748294164832281427<207>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2354355675 for P34 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10266+329 = 3(4)2658<267> = 25 × 33 × 229 × 311 × 231821 × 195380995651<12> × 2975487887389<13> × 126781747184739209739679<24> × 624414093220845696393803977423<30> × [524670759786459298669021699309318864052793428135722042170698819655809194131703160783109040297496993719128127672860011036637740280834187103296692170573393240338432396431638139611<177>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:191592123 for P30 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10267+329 = 3(4)2668<268> = 25 × 5978857 × 9317163253091<13> × 9181541615296952371<19> × [210451355652378379664922797129181266412272770313618367194581233889983475285452736576165110276611934818071451709360303416792201900736844013215977896323079962879593637974452661828721144675274534984644465547666929420662412994058457<228>] Free to factor
31×10268+329 = 3(4)2678<269> = 25 × 149909 × 13554553 × [529732110210535204459748936853929151018623306794106109478050854582267560818173464688756991069884006459234106656931679914348924666734353826473068718224863432887287719568577317630001045450880478516739703759444644581676135766285619534047385269687848101848957<255>] Free to factor
31×10269+329 = 3(4)2688<270> = 25 × 3 × 13 × 23 × 673 × 14270452339946711<17> × [1249464609230907805465410264818212737679242721763761652474080293388829801775314357117767941834826331461080145238215833156954087796902247898947179674977138468293207851026533865365627320298526381840218444758002033055284925413906371049332642846164879<247>] Free to factor
31×10270+329 = 3(4)2698<271> = 25 × 7 × 16333309 × 16153234555837<14> × [58282408212900793107244455320849578035113900261400830165408247960232566057190025619566986714447575281587972987410466454325539423461766895276014260502597059878510954951481830487464365843796008099524337077172068172870826085184260252105267284304731719<248>] Free to factor
31×10271+329 = 3(4)2708<272> = 25 × 192 × 2939 × 37674415049<11> × 1642305896419<13> × 4017386506812571<16> × 31656728963568559<17> × [128929468840786139108684261517131464034451263125162407073778563924944217698419747787630756596810862523591408107091704720566719294138433502309662446076986389444605709429966850657084843774877914997558466879063349<210>] Free to factor
31×10272+329 = 3(4)2718<273> = 25 × 3 × 593 × 20347 × 17696033810003<14> × 35485884708993222925721255693<29> × [473545044586389572132640653213024362497078235763614383958075942185164799335451570282377559389376783010090342169644670885416092203607233641638387528202347294439194776759617279512391166233342511188282491794813850081111891407<222>] Free to factor
31×10273+329 = 3(4)2728<274> = 25 × 5372670987877<13> × 6756390795020473<16> × 2965269690691537068739707254405046330506981485282849686282504299527455812699398706112576323338391324876433602357920360675496818083559400958323577653519524614179230102086053449563321623618885552751799565917260688486457006649830706570131026806509<244>
31×10274+329 = 3(4)2738<275> = 25 × 6429916490071<13> × 10390110206856429666721218155497<32> × [16111787285370006439495543600722906660791231193528511654617419691381870021370013093222304318670603096644638265370587562373032958711304778661632324007773863825761703113365796842551440913753787279577386438361311215381068356700244247<230>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2394107898 for P32 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10275+329 = 3(4)2748<276> = 25 × 32 × 13 × 309816319 × 24076052113<11> × 5836350993845528260553261233<28> × [2113257299655689716978896579023047534573679400183773653255837540665673756655547230832455371432325247085502124074289767791204292782548303869388310394108072026092846361937746861569408706548341132142640663795463109944685073741067<226>] Free to factor
31×10276+329 = 3(4)2758<277> = 25 × 73 × 577 × 1069 × 1579 × 98912009111<11> × 329430194189998081<18> × 65046397353489249707263<23> × [152021062718280751790572505847327331086896525282409256132572226539249779082681018305298698193180463712625095978352902593282877007948441608235077586482158538701890264974745475681140052232977419873454469626734800953<213>] Free to factor
31×10277+329 = 3(4)2768<278> = 25 × 1061 × 9829 × 532619 × 2843349635609101787471351<25> × [68154975460490512139973182527099551584111162191569299032726035747623458786922962986337403637953612063499106558313770970016968271501636761278311685278662213302120488513953977699375280202158504386843918146592250882760607169467556622550948949<239>] Free to factor
31×10278+329 = 3(4)2778<279> = 25 × 3 × 6323 × 43541 × 274854871 × 132982311218236034671<21> × 356557072800828835381860238565287207119321068366256307703700408250279881501219106979342881548990381023547840411861130845914321546609484735546224716165759080584272036792835590822110816418822882839307933677312772522173941524068386484300348101<240>
31×10279+329 = 3(4)2788<280> = 25 × 17 × 1013 × 1719681443193586625753941<25> × [3634651990114740271527318816173869451042319737996353917817046762684484688656230695193406027427209019177766656481160446028988789366289983513203208457669727997759044889450031355600785664623805797743160626418720589277218457701966393363582157168985840849<250>] Free to factor
31×10280+329 = 3(4)2798<281> = 25 × 11464820359<11> × 17389459743369869<17> × 535810574680245913<18> × 10076381034321664463292560834270009344537262942652775517633449448178030489063148633024447175572749685187525050939561421348218671002052054686507785700229516107637014374328596885940862217489023672681587509721555829545561312573953742609843<236>
31×10281+329 = 3(4)2808<282> = 25 × 3 × 13 × 43 × 1842312101807<13> × [3483958222381033496577713120169930226069495771118702647705474771920136127252507221054531417315092437508672348415755837750031513446734378221981122333092808692862308445257037164232822671880829740471918087650314323525541851824089524704759431798903034143896485204854451<265>] Free to factor
31×10282+329 = 3(4)2818<283> = 25 × 7 × 29 × 8221 × 69420264418597<14> × 20399947204434607<17> × [45544214158010255902822670616307487564459466601552288209005305632987712109351864108150880443791630210754626968932611015925040050153971890036783972532677655603461415365830129110502796780574097767222235442785437088831196150773206031275914865901557<245>] Free to factor
31×10283+329 = 3(4)2828<284> = 25 × 131 × 13723 × 19853 × 635711471 × 26067708160707371<17> × [1819951464784011369552056887849683733479705432197493487651017881603422050051634732359792826543818701463046978859149652031204993260747679317521079074144152942433523743494230615581708317631670440750227708497956108177209720815879627001773045426513161<247>] Free to factor
31×10284+329 = 3(4)2838<285> = 25 × 32 × 34243133 × 3604596367<10> × 1470339623139229<16> × [6589901185409041351329889593977959890109445610069223606182067139835029445319996586305924024350562004366130768151481873493426101856223065213457141471223298832336354626518640695943149276083295280236757613070129146487825494304206219613627086284300413159<250>] Free to factor
31×10285+329 = 3(4)2848<286> = 25 × 32173 × 17924561 × 1502847143958410357<19> × [124197916078382544939670504800557623840970679236632433215511125836480595229605062496190943431405713089907796234095198046871283590869196988706914537357344386102296960230452475534047204018432563084043572846054598106406522530066717308043090613247810404523609<255>] Free to factor
31×10286+329 = 3(4)2858<287> = 25 × 113 × [9525565388397246804326450344149459193706981317600786627335299901671583087512291052114060963618485742379547689282202556538839724680432645034414945919370698131760078662733529990167158308751229105211406096361848574237954768928220255653883972468043264503441494591937069813176007866273353<283>] Free to factor
31×10287+329 = 3(4)2868<288> = 25 × 3 × 132 × 12791 × 417646127 × [3974186917986859401510897461139899542377127358962208686950328490451033111651569200091143280977090122908361508248645164155138792950243586834463529554541177283603258910215324673046396392976757400191624791182419202820730493199011318857946522355042137205853606699269255289811<271>] Free to factor
31×10288+329 = 3(4)2878<289> = 25 × 7 × 1162807 × 13224020948432652180565634819006186739611117001345990335564701732088065331673256290153161259028354771672450358595178844798945125138551906708617151536741804086255917041249430889328137968712027863718557015036998387631811751205597303875006021621926066945747769822616293268774720984761<281>
31×10289+329 = 3(4)2888<290> = 25 × 19 × 223 × 406838051617228318988557<24> × 172653377355078667418914989531257<33> × 3616713423808338756570486927513315290515714812660819211773174827246001162093357492997815832101999389886033238650153230222853859448146070920521974777673566645876047373536850876661765522256719865536662328090669605353717905556424153<229> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4067081619 for P33 x P229 / June 24, 2022 2022 年 6 月 24 日)
31×10290+329 = 3(4)2898<291> = 25 × 3 × 1283 × 5573 × [501801842862929756242198664807728466312841849106147564405625520070667374384676335584000714244671057379697844895891540728389811046574343726197272391140247785114004172909016843256627294996231966724511016183411160921451252057886120149630653383087419868979551778214017753026605836732157<282>] Free to factor
31×10291+329 = 3(4)2908<292> = 25 × 23 × 23609212051<11> × 357141488999<12> × 555033980147528833430812452664631436684093501657107748996312715793059785297441711447283246935123857624117846980040179366560875451574755296948199446489451171328863927109736462006389316208269212448986787814618855008197894032904953044353050624651974630956514764443226307<267>
31×10292+329 = 3(4)2918<293> = 25 × 787 × 15780117072677<14> × [86673084579463082690854742632241945085922046775969997667557221135094911467071890275870583156782353669763533942412570642389666216122152624038607163098797777490541137960991645735037857786609571768651666520473173806048582129508606230317443643247538988448953988584816234522395911<275>] Free to factor
31×10293+329 = 3(4)2928<294> = 25 × 33 × 13 × 6257 × 101101480856614597<18> × 48477299385076406435777451872463707815959982763772282869927308719878558826706087166137974158303425380145544214524800191520235059872584118084584722397936304648628829688391675200497446800956526516861274972501309759836157650781679941267934626675519786934451851998148630891<269>
31×10294+329 = 3(4)2938<295> = 25 × 7 × 21851 × 87641 × 62905710959563<14> × 94686636238870094323<20> × 1348074088657184601943742675101463658285804488238802899191802511165104510426053363721015821797766005871896672834696996377255578400430468954894689619627612652931632139183828672571424220412564889879128999018700630613995239806208976286393298284338144453<250>
31×10295+329 = 3(4)2948<296> = 25 × 17 × 367 × 100609 × 1870597 × 18283385949502981<17> × 69907445412835102630789175480177<32> × [717227768118057047013488682867023002983994127753499519250452564839305559807833394745215950475573526404909433403048338396754829795366100457494980581210016222371625844915786355671091115806880823598885481841229166413225354222077274351<231>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3905276741 for P32 / June 24, 2022 2022 年 6 月 24 日) Free to factor
31×10296+329 = 3(4)2958<297> = 25 × 3 × 71 × 193 × 8783 × 5981831660107<13> × 8792829557849287<16> × [566795729072856943986662326915119973964507690022981214995162840069569488656420940502175556331322739230827880154352592039280592066866763704941038772155985664165352354459332358332541801238271176042331430856395933191509279928517930803806848152831885029660310343<258>] Free to factor
31×10297+329 = 3(4)2968<298> = 25 × 15251064050213<14> × 7057795346901423476744161053362200166258087431838955280363352182903690242775578853278613736668461776145940881454091295429263340020033277446279022137660713396162489851683907822187673293704573647589514562556198974658716911446357881288342937630930206681120112066266635672464708814245253<283>
31×10298+329 = 3(4)2978<299> = 25 × 773 × 2713 × 169306987 × 12145917493<11> × 153869604805459<15> × 164136598175189<15> × 49937860136841462869<20> × 197900328681684267519087652794435004221166906127279471378784311096012526592922769369842592980652919236640410466189731647572515300100587729810613315986602839752425275601346118925463294759312457297426504531892622090543096036209<225>
31×10299+329 = 3(4)2988<300> = 25 × 3 × 13 × 83 × 280354549125149<15> × 11860934270053035203875377089140992750691929582496825012654848401751637402994970307741878513842829058728729121715282295251259475970587446467579197022262196851378717978053464916310283778877790632401021433740518982826432910852453769134630764534110423065000789937548578056343333190153<281>
31×10300+329 = 3(4)2998<301> = 25 × 7 × 139 × 5114801 × 1207754793247669<16> × 106027798041807401<18> × 168899791110472667911409629197198133409928951714120461192437935939210670711923660932394762905858345196217685586701966107750863492749799417827119147240372128879154305627016446624704624780206352219678111704431602170850369895252958724363312442102409035982579697<258>
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