Table of contents 目次

  1. About 900...005 900...005 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
  2. Prime numbers of the form 900...005 900...005 の形の素数
    1. Last updated 最終更新日
    2. Known (probable) prime numbers 既知の (おそらく) 素数
  3. Factor table of 900...005 900...005 の素因数分解表
    1. Last updated 最終更新日
    2. Range of factorization 分解範囲
    3. Terms that have not been factored yet まだ分解されていない項
    4. Factor table 素因数分解表

1. About 900...005 900...005 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

90w5 = { 95, 905, 9005, 90005, 900005, 9000005, 90000005, 900000005, 9000000005, 90000000005, … }

1.3. General term 一般項

9×10n+5 (1≤n)

2. Prime numbers of the form 900...005 900...005 の形の素数

2.1. Last updated 最終更新日

February 19, 2023 2023 年 2 月 19 日

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

No prime number of the form 900...005 exists. 900...005 の形の素数は存在しません。

3. Factor table of 900...005 900...005 の素因数分解表

3.1. Last updated 最終更新日

January 13, 2024 2024 年 1 月 13 日

3.2. Range of factorization 分解範囲

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

n=202, 209, 212, 213, 215, 216, 224, 227, 228, 229, 230, 234, 236, 238, 240, 241, 244, 245, 248, 251, 252, 253, 254, 255, 257, 258, 259, 260, 264, 266, 268, 270, 272, 273, 274, 275, 276, 277, 278, 279, 280, 282, 283, 284, 285, 286, 287, 289, 291, 293, 294, 295, 296, 297, 298, 299, 300 (57/300)

3.4. Factor table 素因数分解表

9×101+5 = 95 = 5 × 19
9×102+5 = 905 = 5 × 181
9×103+5 = 9005 = 5 × 1801
9×104+5 = 90005 = 5 × 47 × 383
9×105+5 = 900005 = 5 × 180001
9×106+5 = 9000005 = 5 × 7 × 29 × 8867
9×107+5 = 90000005 = 5 × 3307 × 5443
9×108+5 = 900000005 = 5 × 23 × 107 × 73141
9×109+5 = 9000000005<10> = 5 × 17 × 83 × 1275691
9×1010+5 = 90000000005<11> = 5 × 18000000001<11>
9×1011+5 = 900000000005<12> = 5 × 33211 × 5419891
9×1012+5 = 9000000000005<13> = 5 × 7 × 587 × 941 × 465529
9×1013+5 = 90000000000005<14> = 5 × 18000000000001<14>
9×1014+5 = 900000000000005<15> = 5 × 109 × 1651376146789<13>
9×1015+5 = 9000000000000005<16> = 5 × 593 × 3035413153457<13>
9×1016+5 = 90000000000000005<17> = 5 × 89278723 × 201615787
9×1017+5 = 900000000000000005<18> = 5 × 43 × 4186046511627907<16>
9×1018+5 = 9000000000000000005<19> = 5 × 7 × 263 × 977729494839761<15>
9×1019+5 = 90000000000000000005<20> = 5 × 19 × 1217 × 778445703412187<15>
9×1020+5 = 900000000000000000005<21> = 5 × 61 × 1741427 × 1694483703383<13>
9×1021+5 = 9000000000000000000005<22> = 5 × 312857 × 5753427284669993<16>
9×1022+5 = 90000000000000000000005<23> = 5 × 18000000000000000000001<23>
9×1023+5 = 900000000000000000000005<24> = 5 × 2683 × 3697 × 1462763 × 12405903977<11>
9×1024+5 = 9000000000000000000000005<25> = 5 × 7 × 149 × 3623 × 6221 × 16369 × 4677755441<10>
9×1025+5 = 90000000000000000000000005<26> = 5 × 17 × 659 × 41233 × 86369 × 451164940571<12>
9×1026+5 = 900000000000000000000000005<27> = 5 × 195591160081<12> × 920286990094321<15>
9×1027+5 = 9000000000000000000000000005<28> = 5 × 67 × 331 × 894371 × 90751121316809003<17>
9×1028+5 = 90000000000000000000000000005<29> = 5 × 13103 × 1241298703<10> × 1106688666695489<16>
9×1029+5 = 900000000000000000000000000005<30> = 5 × 977 × 184237461617195496417604913<27>
9×1030+5 = 9000000000000000000000000000005<31> = 5 × 7 × 23 × 367 × 30463553742786061231743023<26>
9×1031+5 = 90000000000000000000000000000005<32> = 5 × 60107 × 435451 × 1215569 × 565755187105897<15>
9×1032+5 = 900000000000000000000000000000005<33> = 5 × 89 × 25609 × 32327 × 88289 × 27670555459323767<17>
9×1033+5 = 9000000000000000000000000000000005<34> = 5 × 488722365451<12> × 3683072695760371462051<22>
9×1034+5 = 90000000000000000000000000000000005<35> = 5 × 29 × 647 × 260723 × 361409 × 10181034718974230161<20>
9×1035+5 = 900000000000000000000000000000000005<36> = 5 × 10091 × 87803 × 24889483 × 8162309688596964139<19>
9×1036+5 = 9000000000000000000000000000000000005<37> = 5 × 72 × 887 × 20123 × 263303 × 7816354908535982290883<22>
9×1037+5 = 90000000000000000000000000000000000005<38> = 5 × 19 × 12457 × 5878239163<10> × 12937733107314216867769<23>
9×1038+5 = 900000000000000000000000000000000000005<39> = 5 × 43 × 30529 × 137117053019355595556493368486083<33>
9×1039+5 = 9000000000000000000000000000000000000005<40> = 5 × 7603 × 963019 × 513539099 × 478717323967809303107<21>
9×1040+5 = 90000000000000000000000000000000000000005<41> = 5 × 463 × 1489 × 9109 × 2866329505539403352649727983427<31>
9×1041+5 = 900000000000000000000000000000000000000005<42> = 5 × 17 × 271619 × 61462153 × 1765421119369<13> × 359258746878091<15>
9×1042+5 = 9000000000000000000000000000000000000000005<43> = 5 × 7 × 167 × 223 × 10050966465655229<17> × 686981919136940167387<21>
9×1043+5 = 90000000000000000000000000000000000000000005<44> = 5 × 521 × 569 × 3793 × 13187 × 41017 × 31900081 × 927765007021090307<18>
9×1044+5 = 900000000000000000000000000000000000000000005<45> = 5 × 163 × 3461495761063<13> × 319022340269596809864822360829<30>
9×1045+5 = 9000000000000000000000000000000000000000000005<46> = 5 × 761 × 937 × 167522737 × 15068655270068367094323182971889<32>
9×1046+5 = 90000000000000000000000000000000000000000000005<47> = 5 × 187750447 × 95871942185043106714946995572266200783<38>
9×1047+5 = 900000000000000000000000000000000000000000000005<48> = 5 × 7417 × 818689 × 29643212745013420275365608504467650377<38>
9×1048+5 = 9000000000000000000000000000000000000000000000005<49> = 5 × 7 × 257142857142857142857142857142857142857142857143<48>
9×1049+5 = 90000000000000000000000000000000000000000000000005<50> = 5 × 83233 × 30749448540673<14> × 7032983931677695833110235557089<31>
9×1050+5 = 900000000000000000000000000000000000000000000000005<51> = 5 × 47 × 83 × 1601687 × 4814461 × 5983719559080941411866806538860143<34>
9×1051+5 = 9(0)505<52> = 5 × 102233 × 486105235919033<15> × 36220221421015013347813443404209<32>
9×1052+5 = 9(0)515<53> = 5 × 23 × 307 × 907 × 152399830123073249<18> × 18442276272823160918580066487<29>
9×1053+5 = 9(0)525<54> = 5 × 1903125173061216658603817<25> × 94581272187402278951511248153<29>
9×1054+5 = 9(0)535<55> = 5 × 7 × 11509678307<11> × 126892667518932172789<21> × 176065697913837995580041<24>
9×1055+5 = 9(0)545<56> = 5 × 19 × 97 × 25851173863657<14> × 377804304153880416660262097210475427651<39>
9×1056+5 = 9(0)555<57> = 5 × 180000000000000000000000000000000000000000000000000000001<57>
9×1057+5 = 9(0)565<58> = 5 × 17 × 59 × 7433 × 2231881 × 1169965406219<13> × 6592383156886073<16> × 14025583642645217<17>
9×1058+5 = 9(0)575<59> = 5 × 28650426369965149<17> × 628262901485814627699716223301355455887349<42>
9×1059+5 = 9(0)585<60> = 5 × 43 × 4186046511627906976744186046511627906976744186046511627907<58>
9×1060+5 = 9(0)595<61> = 5 × 7 × 67 × 222549233363<12> × 17245411425095096241951719660466774243050665583<47>
9×1061+5 = 9(0)605<62> = 5 × 107 × 14387 × 2161987 × 134823457297<12> × 40114367230756589842414912534697848651<38>
9×1062+5 = 9(0)615<63> = 5 × 29 × 787 × 433003 × 42447143 × 84572581147<11> × 1416054394361<13> × 3583033623559856635409<22>
9×1063+5 = 9(0)625<64> = 5 × 55931244899<11> × 53654414903029517277444083<26> × 599808417222027319291898953<27>
9×1064+5 = 9(0)635<65> = 5 × 347 × 503 × 689128121108435753030256809<27> × 149649432005806234780032615218429<33>
9×1065+5 = 9(0)645<66> = 5 × 3907 × 57155321 × 2082805217147<13> × 387011409634791526435217671031220031323289<42>
9×1066+5 = 9(0)655<67> = 5 × 7 × 2555802607<10> × 16480847460538254878789<23> × 6104746246711475851430565519815141<34>
9×1067+5 = 9(0)665<68> = 5 × 5801 × 42667 × 3572328163<10> × 5020780190774878668451<22> × 4054664978606231581875562931<28>
9×1068+5 = 9(0)675<69> = 5 × 24122243 × 7461992651346725924284901698403419615663435610030128624440107<61>
9×1069+5 = 9(0)685<70> = 5 × 3329 × 28636724419<11> × 127659279889<12> × 18230144171081<14> × 8113212969704703336531191760739<31>
9×1070+5 = 9(0)695<71> = 5 × 1307 × 13771996939556235654169854628921193573068094873756694720734506503443<68>
9×1071+5 = 9(0)705<72> = 5 × 113 × 1720101217516970270787686603433979<34> × 926061988539104886857659627567470563<36> (Eric Jeancolas / ECM for P34 x P36 / February 7, 2023 2023 年 2 月 7 日)
9×1072+5 = 9(0)715<73> = 5 × 7 × 5107 × 50351058770874709782091806763825561554169347394332708607233768776749<68>
9×1073+5 = 9(0)725<74> = 5 × 17 × 19 × 643 × 1473613651<10> × 34801462193<11> × 928885590914872611708827<24> × 1819347492089279549989769<25>
9×1074+5 = 9(0)735<75> = 5 × 23 × 33944541889<11> × 230555091363829692320487884510853242757488182469572216332743783<63>
9×1075+5 = 9(0)745<76> = 5 × 571 × 329705591867<12> × 2311089223451<13> × 4137074783665610592869156501837707280598666664843<49>
9×1076+5 = 9(0)755<77> = 5 × 89 × 487 × 24329 × 344941 × 7238267 × 13283618128904609<17> × 514675481560949859751647386607043218121<39>
9×1077+5 = 9(0)765<78> = 5 × 4273 × 248161 × 199283585530596508664633<24> × 851793954292002097604947268002863383803664249<45>
9×1078+5 = 9(0)775<79> = 5 × 72 × 227 × 134077257607<12> × 90511962127841<14> × 508611534395287361<18> × 26218223711808080565791961075341<32>
9×1079+5 = 9(0)785<80> = 5 × 401 × 7794329 × 1246840183163<13> × 7947611316190915999388380379<28> × 581168395958807029656157190497<30>
9×1080+5 = 9(0)795<81> = 5 × 43 × 61 × 257965669169735170207944641<27> × 266018782756021619447809174753372765654808932046207<51>
9×1081+5 = 9(0)805<82> = 5 × 12907 × 28211 × 4943433702513447945397314024295938526776068827559264993469435712013755313<73>
9×1082+5 = 9(0)815<83> = 5 × 4584689 × 509252113225444247723<21> × 52298861023387848065226323<26> × 147413600446997475890523509921<30>
9×1083+5 = 9(0)825<84> = 5 × 313 × 7283 × 34631251122780646313481617432909843<35> × 2280077852101308252256486229588836588770433<43> (Eric Jeancolas / ECM for P35 x P43 / February 7, 2023 2023 年 2 月 7 日)
9×1084+5 = 9(0)835<85> = 5 × 7 × 1061 × 4783 × 33923 × 164790984842748933968765103207968467<36> × 9064231705915125540704009878651845421<37> (Eric Jeancolas / ECM for P36 x P37 / February 7, 2023 2023 年 2 月 7 日)
9×1085+5 = 9(0)845<86> = 5 × 2099 × 169112508641736532620454837000724360371<39> × 50708916906964954169153083681708432082441369<44> (Eric Jeancolas / ECM for P39 x P44 / February 7, 2023 2023 年 2 月 7 日)
9×1086+5 = 9(0)855<87> = 5 × 16691447 × 797267788729<12> × 2704546543983281366292725029<28> × 5001264683105637365642501462350968362963<40>
9×1087+5 = 9(0)865<88> = 5 × 29803 × 7177465249153<13> × 1239708627920217761<19> × 6787686883845118500306248645024443070087133487587299<52>
9×1088+5 = 9(0)875<89> = 5 × 96269 × 171252320269<12> × 775473115723<12> × 28148912590543109346041<23> × 50017411398005547313196901458027781187<38>
9×1089+5 = 9(0)885<90> = 5 × 17 × 47939 × 98308415077953390450069317721929<32> × 2246693965195941398250477923577831960434297071374563<52> (Eric Jeancolas / ECM for P32 x P52 / February 7, 2023 2023 年 2 月 7 日)
9×1090+5 = 9(0)895<91> = 5 × 7 × 29 × 3929 × 2256807094398479413531063068981816403727743807258643884616975953720409184201848826523<85>
9×1091+5 = 9(0)905<92> = 5 × 19 × 83 × 179 × 24763 × 25841 × 32463768034097<14> × 1438299288209227<16> × 2134160192983511005945767056844919395781288697611<49>
9×1092+5 = 9(0)915<93> = 5 × 2909 × 5903 × 205139756089<12> × 26930657732578248624927322448509<32> × 1897401350818833090137582367550332161366863<43> (Eric Jeancolas / ECM for P32 x P43 / February 7, 2023 2023 年 2 月 7 日)
9×1093+5 = 9(0)925<94> = 5 × 67 × 1777 × 2003 × 2613931111039816353890036011<28> × 2887587728731081776161045879013415172566708940910111934283<58>
9×1094+5 = 9(0)935<95> = 5 × 616003112861<12> × 29220631558824066830124193364891749950815513562450708565137800676267287457687170741<83>
9×1095+5 = 9(0)945<96> = 5 × 521 × 10433 × 151121 × 6773387 × 32351533070477570317842436407138773201895783572395245839294877067021506993691<77>
9×1096+5 = 9(0)955<97> = 5 × 7 × 23 × 47 × 229 × 495395712581697326272714703<27> × 2096819491969641493064384696669029553910543813934322602586155469<64>
9×1097+5 = 9(0)965<98> = 5 × 261621215704668362681<21> × 68801759641386791525802920421773021360293992576340542055925171552969004547721<77>
9×1098+5 = 9(0)975<99> = 5 × 7349 × 11047 × 616176465683<12> × 346402472827127<15> × 10387566409093706101275512731570048938571927554961554906582992687<65>
9×1099+5 = 9(0)985<100> = 5 × 12049 × 1211650803619251612833<22> × 305865173197041180418353107<27> × 403101112197230910739453896602965985469221279179<48>
9×10100+5 = 9(0)995<101> = 5 × 31025047 × 3978279331421<13> × 11521341744673138196132712173122914251921<41> × 12657901877139111080232487432224788889763<41> (Eric Jeancolas / ECM for P41(1152...) x P41(1265...) / February 7, 2023 2023 年 2 月 7 日)
9×10101+5 = 9(0)1005<102> = 5 × 43 × 85313 × 1840219 × 7014619 × 176987397617252609<18> × 1170226849261196551948073<25> × 18352821307585763037762532474259693611907<41>
9×10102+5 = 9(0)1015<103> = 5 × 7 × 6143 × 76762241 × 2060055863<10> × 31656003367915525270403833256339869<35> × 8362020421862347458331847221593794335247833163<46> (Eric Jeancolas / ECM for P35 x P46 / February 7, 2023 2023 年 2 月 7 日)
9×10103+5 = 9(0)1025<104> = 5 × 19603 × 1626707 × 43635091 × 12936141090988698241960032555503600611393027537268108471802402711786417911346812681891<86>
9×10104+5 = 9(0)1035<105> = 5 × 117389 × 28277698935245213723114424009061822658802459117727<50> × 54225184170782242911585597598180243076717929869467<50> (Eric Jeancolas / ECM for P50(2827...) x P50(5422...) / February 7, 2023 2023 年 2 月 7 日)
9×10105+5 = 9(0)1045<106> = 5 × 17 × 6940131603202254371<19> × 15256533880758279609894933468181040439390585273388709240756177061877137308530525076443<86>
9×10106+5 = 9(0)1055<107> = 5 × 116041 × 17091507909038743<17> × 9075711082643831870669239128948337806321296101242751730908695507119337613692629708527<85>
9×10107+5 = 9(0)1065<108> = 5 × 1762346161<10> × 102136574518290677628116670547790298730080191095896738529565191364240728186884279200356257365263441<99>
9×10108+5 = 9(0)1075<109> = 5 × 7 × 126848767 × 2027160872149881778962367502893087978199605654368379811347656671687294704702512852512450064706918729<100>
9×10109+5 = 9(0)1085<110> = 5 × 19 × 947368421052631578947368421052631578947368421052631578947368421052631578947368421052631578947368421052631579<108>
9×10110+5 = 9(0)1095<111> = 5 × 414559241263201<15> × 434196086068478584344692893052388828200595359611764391364330967666251407912228793341730064976801<96>
9×10111+5 = 9(0)1105<112> = 5 × 2957963 × 10698691321<11> × 56878627791747210902801603153996010011381383563033281413572858177314788838610035502873756808187<95>
9×10112+5 = 9(0)1115<113> = 5 × 10141 × 9794789 × 48226247 × 6993838549<10> × 2450486681657471858221<22> × 219252837428707544206806319717565418111876778422239531069950423<63>
9×10113+5 = 9(0)1125<114> = 5 × 13553 × 313267 × 241348385183260163<18> × 22025143408286572409<20> × 3809217036090737325049<22> × 2093743897176414586759282886932412419984604297<46>
9×10114+5 = 9(0)1135<115> = 5 × 7 × 107 × 2509554348062087145312089<25> × 957621927661753454899470044286954385832652480701854885377885083637642543213392420024941<87>
9×10115+5 = 9(0)1145<116> = 5 × 59 × 1934411 × 31162529 × 88038900295624431800723<23> × 57486310402568732016358449501477659382437157476892010548771963068348467742947<77>
9×10116+5 = 9(0)1155<117> = 5 × 269 × 409 × 8887 × 57189566483148173992543546941419689<35> × 3219029320490015589117569042050834138756575421668592234702098761359885667<73> (Eric Jeancolas / ECM for P35 x P73 / February 7, 2023 2023 年 2 月 7 日)
9×10117+5 = 9(0)1165<118> = 5 × 4889 × 1028006611<10> × 235021977031590726979<21> × 586364751863878729817<21> × 18664149596713037948569<23> × 139242567466263610660135302271618993448257<42>
9×10118+5 = 9(0)1175<119> = 5 × 23 × 29 × 443 × 56443 × 119267 × 360488203 × 13358635663<11> × 9425988254927<13> × 137764773592081<15> × 6291262704643258874400165943<28> × 230015181338959875202108082909<30>
9×10119+5 = 9(0)1185<120> = 5 × 98475283 × 25724492444644215710897<23> × 5557807706849222859109220227<28> × 12784829369849434771762009274873034556249460542006809233889113<62>
9×10120+5 = 9(0)1195<121> = 5 × 72 × 89 × 1987 × 161281 × 6725101 × 530491284923<12> × 77803491648896294415313021551220586843<38> × 4640119778961084304189355073502960135697249466667127<52> (Eric Jeancolas / ECM for P38 x P52 / February 7, 2023 2023 年 2 月 7 日)
9×10121+5 = 9(0)1205<122> = 5 × 17 × 131 × 9697 × 133545460952970014366997286091<30> × 6241453811923423123549923837692329001814025912391057713569689742862019421969250789169<85> (Eric Jeancolas / ECM for P30 x P85 / February 7, 2023 2023 年 2 月 7 日)
9×10122+5 = 9(0)1215<123> = 5 × 43 × 109 × 829 × 11866247389<11> × 61763045897126795566962400609518003111707<41> × 63209290745648070183072527825680226663383463633083903936410326069<65> (Eric Jeancolas / ECM for P41 x P65 / February 7, 2023 2023 年 2 月 7 日)
9×10123+5 = 9(0)1225<124> = 5 × 64418651789412618806182363<26> × 378288305220077682229786387<27> × 73864873523388277059561034901379244376998230434286670535607921690025921<71>
9×10124+5 = 9(0)1235<125> = 5 × 8570160459829<13> × 2100310733313755613788898908195926790535436892062760713880814791894062077971161419226574038111737310519050314269<112>
9×10125+5 = 9(0)1245<126> = 5 × 163 × 14426954511113<14> × 1697812607846114859176229109687560510411128185142317427<55> × 45083796828568592526583820482798692729960122824497374977<56> (Eric Jeancolas / ECM for P55 x P56 / February 7, 2023 2023 年 2 月 7 日)
9×10126+5 = 9(0)1255<127> = 5 × 7 × 67 × 1482471629<10> × 840434451133303192063<21> × 7465062701205620870070849647493925824156583<43> × 412644408938915094740323195567935575576782002353369<51> (Eric Jeancolas / ECM for P43 x P51 / February 7, 2023 2023 年 2 月 7 日)
9×10127+5 = 9(0)1265<128> = 5 × 19 × 1283753 × 237305775421226834779<21> × 639825777964436864084598179<27> × 4860348285192972526773309497177549868977268269408677026039002253817610323<73>
9×10128+5 = 9(0)1275<129> = 5 × 8420130091987944781139592567607<31> × 21377341921507417552559772811795717395642675848852838357723513385062386200417626041767659877124743<98> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1836085867 for P31 x P98 / February 7, 2023 2023 年 2 月 7 日)
9×10129+5 = 9(0)1285<130> = 5 × 283 × 11251 × 340379020496359925728217374243<30> × 1660856691975706975896063450897009193354021955867203601577248186699027321188049206130024689579<94> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4083771988 for P30 x P94 / February 7, 2023 2023 年 2 月 7 日)
9×10130+5 = 9(0)1295<131> = 5 × 2754413755801<13> × 6487303713283<13> × 1007346996565148374662644172805286573449350840871279923560224654311551710398674156117102972096993373125347<106>
9×10131+5 = 9(0)1305<132> = 5 × 257 × 601 × 289241 × 34944039017<11> × 115300702618918136695859826499011462325813124856831890170121086907702081134043371448230286914417103505902209769<111>
9×10132+5 = 9(0)1315<133> = 5 × 7 × 83 × 12041 × 969498040949<12> × 5647705951201<13> × 13376524858173951578213857932643612133856941521<47> × 3512946230648951992342209180501648394230398663208757889<55> (Eric Jeancolas / ECM for P47 x P55 / February 7, 2023 2023 年 2 月 7 日)
9×10133+5 = 9(0)1325<134> = 5 × 9227 × 641819 × 7062907284990884714987<22> × 146543306333457415323967281555576170633<39> × 2936634683256027337215718678888905993067219220630044283390527987<64> (Eric Jeancolas / ECM for P39 x P64 / February 7, 2023 2023 年 2 月 7 日)
9×10134+5 = 9(0)1335<135> = 5 × 1552669 × 14177381 × 15778929721567<14> × 24356871835589<14> × 367125170905254235343<21> × 2151681289508122158326989<25> × 26934347222091184697079938151433332253996775156609<50>
9×10135+5 = 9(0)1345<136> = 5 × 244747 × 2394906445236968439572628282137<31> × 85438233756514076940408904998779<32> × 35942999222531133041480458264703381508861258115021442761911130852321<68> (Eric Jeancolas / ECM for P31 x P32 x P68 / February 7, 2023 2023 年 2 月 7 日)
9×10136+5 = 9(0)1355<137> = 5 × 1481 × 322535735183<12> × 1418027299901<13> × 26573882815143651510348514254401837746603871663228460593803447751747041056080570666202692616772798314258190787<110>
9×10137+5 = 9(0)1365<138> = 5 × 17 × 331 × 809 × 165161 × 28968881 × 219065387 × 285898196632192047932232413034730841<36> × 131954032203531620374145687409809042770419335277432475827831917298672266881<75> (Eric Jeancolas / ECM for P36 x P75 / February 7, 2023 2023 年 2 月 7 日)
9×10138+5 = 9(0)1375<139> = 5 × 7 × 66090061 × 2291053829<10> × 598867045970086562598744056788454337803035359530800767161<57> × 2835780445751274484901527995199890672121309497294659169457801327<64> (Eric Jeancolas / cado-nfs-3.0.0 for P57 x P64 / February 7, 2023 2023 年 2 月 7 日)
9×10139+5 = 9(0)1385<140> = 5 × 1427 × 21601 × 5186651 × 431870723 × 11107960387<11> × 1148744320549911525148337<25> × 614503488774071073852274084656779149147<39> × 33246951724764998932673066726873063562491467<44> (Eric Jeancolas / ECM for P39 x P44 / February 7, 2023 2023 年 2 月 7 日)
9×10140+5 = 9(0)1395<141> = 5 × 23 × 61 × 140678281860889<15> × 372876003075173729<18> × 169974425328881583140128353935521<33> × 14389303151932700941029262245622881334113914131093067679879084511990314667<74> (Eric Jeancolas / ECM for P33 x P74 / February 7, 2023 2023 年 2 月 7 日)
9×10141+5 = 9(0)1405<142> = 5 × 45833 × 10004752409689<14> × 3925435761569240498749111812314915211028180782971594924779178147366166232294766631405573388911704657043051351267779780411873<124>
9×10142+5 = 9(0)1415<143> = 5 × 47 × 70593690819765539842651463873545194802849998929<47> × 5425112626311713388736723719089772212481625438588008027512331860800238782447293569848229565727<94> (Eric Jeancolas / cado-nfs-3.0.0 for P47 x P94 / February 7, 2023 2023 年 2 月 7 日)
9×10143+5 = 9(0)1425<144> = 5 × 43 × 1114019 × 104901743138617<15> × 193523638822338617202647119825499<33> × 185095016192478713225862432868884671134272083406341166664695286301475903240231826400271691<90> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1187449634 for P33 x P90 / February 7, 2023 2023 年 2 月 7 日)
9×10144+5 = 9(0)1435<145> = 5 × 7 × 13903 × 5413909280635197316307858277491124699784913227<46> × 3416291875861454505047926368156420978673692738388539957884883101488706441806074958027217996203<94> (Eric Jeancolas / cado-nfs-3.0.0 for P46 x P94 / February 7, 2023 2023 年 2 月 7 日)
9×10145+5 = 9(0)1445<146> = 5 × 19 × 272532779 × 29679782035237151089189185762374672635787600995402609321211<59> × 117122262224831824804653095704263129015434832106492128705175950564290341917091<78> (Eric Jeancolas / cado-nfs-3.0.0 for P59 x P78 / February 7, 2023 2023 年 2 月 7 日)
9×10146+5 = 9(0)1455<147> = 5 × 29 × 40245906912236689<17> × 864488801656828696453158583<27> × 178399411309434009951344997131400185601588537066016208401852499666382455595819610968779889504030881987<102>
9×10147+5 = 9(0)1465<148> = 5 × 521 × 239251 × 14440459742200408855945671973998251468909638028937895120561432880610747371529467150003829529698855202870769814731548925188157786507285280131<140>
9×10148+5 = 9(0)1475<149> = 5 × 8753897845674898729<19> × 64602550312522001513282070307<29> × 5286750911180575905663098595872187199972050283<46> × 6020499422332813250562982074282065477334243409434448249<55> (Eric Jeancolas / cado-nfs-3.0.0 for P46 x P55 / February 7, 2023 2023 年 2 月 7 日)
9×10149+5 = 9(0)1485<150> = 5 × 379 × 577 × 325153 × 170035321 × 14887801545258313171317042605417087625512651613185204485535548746739350057441741116957432407756106321518102416717227339009956877419<131>
9×10150+5 = 9(0)1495<151> = 5 × 7 × 1303 × 67003 × 2165203549<10> × 131125300372307<15> × 589458777012668963<18> × 17599370578980077721587377747802437086900794656450115366664079503408814888970619624942210325016767303<101>
9×10151+5 = 9(0)1505<152> = 5 × 97 × 347253131 × 1713235561<10> × 25087938691<11> × 339290326962179318899<21> × 5312729859979674037043<22> × 80521956038257279388280107<26> × 85658213516092526656254770085559476060347197537146707<53>
9×10152+5 = 9(0)1515<153> = 5 × 2029 × 186247 × 6846397787536738021227421562460540819667504604369292317453041<61> × 69572729689724241242520073907045477402230482737996720445833404658733321275722901347<83> (Eric Jeancolas / cado-nfs-3.0.0 for P61 x P83 / February 7, 2023 2023 年 2 月 7 日)
9×10153+5 = 9(0)1525<154> = 5 × 17 × 18143969 × 555414721 × 10506883145689119736030239617286471716230921109163632391800028030774314041597174251496894879761008404558430973632415366756090009251919697<137>
9×10154+5 = 9(0)1535<155> = 5 × 59005505123949569<17> × 4899790113204834341246501461<28> × 39406815954534739543115460461<29> × 1579905641788291564638468674188271810444077834606978897974891118663423333490820049<82>
9×10155+5 = 9(0)1545<156> = 5 × 971 × 1297 × 4163407513<10> × 57443182300748075876228157204552037552671060165935585201057<59> × 597621049843828574552178654923532747662505375259156899465622261043972146253206603<81> (Eric Jeancolas / cado-nfs-3.0.0 for P59 x P81 / February 7, 2023 2023 年 2 月 7 日)
9×10156+5 = 9(0)1555<157> = 5 × 7 × 2389 × 19927 × 2233123 × 2418821108545363876215331996368297530787501939786660902975176564839008255946104476756510611372292421273536406255822382328231181253335944662847<142>
9×10157+5 = 9(0)1565<158> = 5 × 204067 × 131394457 × 671309326187626096061947994631157648842106840781857891594030489058526475429011581662910974090780830608274207893225335847048924183761774817430979<144>
9×10158+5 = 9(0)1575<159> = 5 × 6185041 × 852552923 × 14115745827738950440475966009<29> × 400554491559540026459234198805396780972070638841<48> × 6037305307987530403359860854543067029337745676761685816065240394003<67> (Eric Jeancolas / cado-nfs-3.0.0 for P48 x P67 / February 7, 2023 2023 年 2 月 7 日)
9×10159+5 = 9(0)1585<160> = 5 × 67 × 563 × 1201 × 1609 × 2702700081418300828735914931603<31> × 612304874051673481813847838263181874409<39> × 14921919227513468415112598568737393651425628357805806604548533227105285191334067<80> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:923794651 for P31, cado-nfs-3.0.0 for P39 x P80 / February 7, 2023 2023 年 2 月 7 日)
9×10160+5 = 9(0)1595<161> = 5 × 827 × 133696523 × 99103555695701623169<20> × 3393852800716330550419523183<28> × 675857625789958413612900838027<30> × 9779925553293300592971632006083603<34> × 73227444240042656463199813388144938663<38> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2338126958 for P30, B1=1000000, sigma=1:2855626885 for P34 x P38 / February 7, 2023 2023 年 2 月 7 日)
9×10161+5 = 9(0)1605<162> = 5 × 74337298601<11> × 734133076840215691<18> × 87906037615936288731975748558404388097<38> × 37520812448231169278661816276097962231777135220233638310062004446063332271159151025480014621163<95> (Eric Jeancolas / cado-nfs-3.0.0 for P38 x P95 / February 7, 2023 2023 年 2 月 7 日)
9×10162+5 = 9(0)1615<163> = 5 × 72 × 23 × 18287 × 174007 × 458207 × 2308609 × 264987203123<12> × 799315796087<12> × 299027550490372877687<21> × 7491569285677540195795939015333086316285281888093540243642907549140497177697156740390816657947<94>
9×10163+5 = 9(0)1625<164> = 5 × 19 × 1873 × 2770241 × 2176820609<10> × 468532888003<12> × 3160844231903977<16> × 650720188400724076529849<24> × 87036912724011994277089493758405945307277209648527309730643013994925923631539619876590123993<92>
9×10164+5 = 9(0)1635<165> = 5 × 43 × 89 × 6709 × 1173997589<10> × 155678469409<12> × 1692082146109<13> × 1784353398867763<16> × 12704517546983991933528394977228224280364297540520528598097670200938169143667979103985789031028835199807999221<110>
9×10165+5 = 9(0)1645<166> = 5 × 21879235777019<14> × 158815642983915186802081<24> × 518020658340204506317776457609712209037283218255378991194672873399851359973919428837675300328684383496081244283779769614185227859<129>
9×10166+5 = 9(0)1655<167> = 5 × 20681 × 25867 × 18857803 × 246861349504107140689638320743681808344097031381932569466267<60> × 7227876346248959785379483545572922741161188607422116647600077319306159483624901316895822163<91> (Bob Backstrom / Msieve 1.44 snfs for P60 x P91 / March 8, 2023 2023 年 3 月 8 日)
9×10167+5 = 9(0)1665<168> = 5 × 107 × 30041491 × 5089318939<10> × 998118419432342030123883806129180350373497273<45> × 11023652272588673225308623885277107918436064292357196844914196399072961601648626478771755390693603540059<104> (Bob Backstrom / Msieve 1.44 snfs for P45 x P104 / March 9, 2023 2023 年 3 月 9 日)
9×10168+5 = 9(0)1675<169> = 5 × 7 × 23789 × 337217885660567177056980411311359845104344222290344311623751159360793249<72> × 32054401891004460314362972234325781001574347327666747446841097617234845389254814124582462163<92> (Bob Backstrom / Msieve 1.44 snfs for P72 x P92 / March 11, 2023 2023 年 3 月 11 日)
9×10169+5 = 9(0)1685<170> = 5 × 172 × 98010043786491139<17> × 635483207822075349480659659306985108478867374273992409331102796294971541191468069736343200043580153474359606020086597697739397954759180864340684646731<150>
9×10170+5 = 9(0)1695<171> = 5 × 701 × 1181 × 718273904464369046396592217727<30> × 475921338223377213906146275412396636076051224459299394740288843<63> × 636032523748342749242379758841826059216276370260181623895382165915863061<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:253215234 for P30, cado-nfs-3.0.0 for P63 x P72 / February 7, 2023 2023 年 2 月 7 日)
9×10171+5 = 9(0)1705<172> = 5 × 402387130131662874960285163<27> × 40902781797426662751409347167753082480152111853597999057394501509373321<71> × 109364300076863589126422159319683440348626589192159791190822782345696241387<75> (Eric Jeancolas / cado-nfs-3.0.0 for P71 x P75 / February 7, 2023 2023 年 2 月 7 日)
9×10172+5 = 9(0)1715<173> = 5 × 149 × 709 × 1847 × 348949 × 148545161 × 39918176602907<14> × 4878717930750863<16> × 795210414872290591092179747<27> × 11491961835115335091529250087771400752745421497156749368252281779849375828546170284728811030021<95>
9×10173+5 = 9(0)1725<174> = 5 × 59 × 83 × 950134627003<12> × 30016600532933953633<20> × 3754750307691903905327792824488061107750761386536504902533428569<64> × 343253273772294587988763859719512176804133763374105263879394727301751846443<75> (Ignacio Santos / GNFS, Msieve for P64 x P75 / April 16, 2023 2023 年 4 月 16 日)
9×10174+5 = 9(0)1735<175> = 5 × 7 × 29 × 1633847 × 449272875968684843321<21> × 12079664782170026757358885052661281427178992853274239423492594264978482021319260459667218961956920369639510328029621624639831578275610340160712541<146>
9×10175+5 = 9(0)1745<176> = 5 × 673 × 13448493379556670304591679153275752899414820872613293812185544697571778552700096452777<86> × 1988766552793129228814293545278380246946919510621191636843767480221022608576911518719481<88> (Eric Jeancolas / cado-nfs-3.0.0 for P86 x P88 / February 7, 2023 2023 年 2 月 7 日)
9×10176+5 = 9(0)1755<177> = 5 × 69761 × 10564646160661<14> × 25632728012446894224661<23> × 169490262589200007013893780853609875027708081<45> × 56216689857063002687291847148701058835061779352941084428512658757011765530402985470860545241<92> (Ignacio Santos / GNFS, Msieve for P45 x P92 / April 18, 2023 2023 年 4 月 18 日)
9×10177+5 = 9(0)1765<178> = 5 × 1051 × 32412898635848528753<20> × 295935936649416371378944009<27> × 1378370123095969078481241666680750016118757539138905329824757587<64> × 129535367214295857930670255524184429008523643656149866080246893449<66> (Ignacio Santos / GNFS, Msieve for P64 x P66 / April 19, 2023 2023 年 4 月 19 日)
9×10178+5 = 9(0)1775<179> = 5 × 15881 × 931150687 × 5110430231371817089540596644724503202452650509879661311448166066376779557999626547<82> × 238186546595829497393744225295424452513545959180445753851125953553565548431758529789<84> (Bob Backstrom / Msieve 1.44 snfs for P82 x P84 / March 20, 2023 2023 年 3 月 20 日)
9×10179+5 = 9(0)1785<180> = 5 × 193 × 17033 × 115499 × 673297 × 2295556531<10> × 2802106145537<13> × 20767521010651236673<20> × 419640452366448350803457<24> × 12560431699320698113610090096171054294534821024327039633897185089393837207060943314541697668453529<98>
9×10180+5 = 9(0)1795<181> = 5 × 7 × 643 × 89003 × 4493232035547216738183984836460195556990815906110302061692310494625142169917994746028833474362989689058433067254200356306810194842941358257065108751954053567159064904794167<172>
9×10181+5 = 9(0)1805<182> = 5 × 19 × 122131 × 58442905782517471547156724196853795411681659<44> × 132727584305479629023568151677815523918269150937839957631477558317080459970859956639691187470263589387269093977827836985378505976251<132> (Eric Jeancolas / cado-nfs-3.0.0 for P44 x P132 / February 7, 2023 2023 年 2 月 7 日)
9×10182+5 = 9(0)1815<183> = 5 × 181 × 4643 × 8389 × 9781 × 78203 × 272903 × 609307 × 911861 × 1407383 × 24366689 × 385754332669<12> × 497801264465443<15> × 3426143862979799256769<22> × 33395073336326848769876051003941<32> × 292174046322547628109188859255744345782290561085894641<54> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:86434444 for P32 x P54 / February 7, 2023 2023 年 2 月 7 日)
9×10183+5 = 9(0)1825<184> = 5 × 113 × 13481805741961<14> × 20066102913875400705135867689483<32> × 166601024721037093391741858867254529<36> × 353431531705007389021269837904484328475057497082841514707506083041030084621751213891103242297457785851<102> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3097430860 for P32, B1=1000000, sigma=1:3830943197 for P36 x P102 / February 7, 2023 2023 年 2 月 7 日)
9×10184+5 = 9(0)1835<185> = 5 × 23 × 2789 × 4523 × 4274063489<10> × 14515386290542049263721933984836359918677295850853564930061692838522153089185402313189562577138095977245602973723910655557513156192852402253322374852249735220183115089<167>
9×10185+5 = 9(0)1845<186> = 5 × 17 × 43 × 139124939 × 2218569641<10> × 2216367080233<13> × 3358087241564835708315170958348806570520131623417<49> × 107187319346809426273325064321286760213667014153212437767177985738887414431524160181159470715006352780689<105> (Bob Backstrom / Msieve 1.44 snfs for P49 x P105 / April 1, 2023 2023 年 4 月 1 日)
9×10186+5 = 9(0)1855<187> = 5 × 7 × 150247 × 2085449269152187<16> × 820670885224539264172675947693180834690517494973997527852582266060881390705119659225426808035754891733256890711478497829337029669179638250530874922199906264680736387<165>
9×10187+5 = 9(0)1865<188> = 5 × 251863163 × 8474649721<10> × 1486673719944030233680478410921<31> × 1311518320739724986826352110068551523<37> × 175584600554310948609829123903394021779<39> × 24632565438576283379953865337654536744264502449478323447897977291<65> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:699362355 for P31 / February 7, 2023 2023 年 2 月 7 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3108396600 for P37 / March 28, 2023 2023 年 3 月 28 日) (Dmitry Domanov / Msieve 1.54 gnfs for P39 x P65 / March 29, 2023 2023 年 3 月 29 日)
9×10188+5 = 9(0)1875<189> = 5 × 47 × 2419286191961<13> × 593300002578915958343<21> × 668290879598664181793267<24> × 20946268561339315638730896162720704701<38> × 190607878900639753223845458571294464334193395154233790501229026337041864915618522940911807863<93> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1892269892 for P38 x P93 / February 7, 2023 2023 年 2 月 7 日)
9×10189+5 = 9(0)1885<190> = 5 × 125393741825807657<18> × 2595453779874911847852355192922041297317737<43> × 5530741284008908699692294746418414297018228308475712812310176587854566687774723961466882730475485914669886948628805000871963632689<130> (Bob Backstrom / Msieve 1.44 snfs for P43 x P130 / March 28, 2023 2023 年 3 月 28 日)
9×10190+5 = 9(0)1895<191> = 5 × 9042848483<10> × 2045607979488847<16> × 12772059791102200038085992357621023<35> × 76187530866096542887759567712542277920105618056405753123689415051104766366118026140102432883262029978147250784246303181313579135387<131> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1275492441 for P35 x P131 / February 7, 2023 2023 年 2 月 7 日)
9×10191+5 = 9(0)1905<192> = 5 × 227 × 1389587 × 276469561 × 688454479229049727582414230596778649<36> × 5688599140601551678697811266366244537405312123937099<52> × 527027189581474094672243107778713791185625235325795119418449785242473857300375252052459<87> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1822895866 for P36 / February 7, 2023 2023 年 2 月 7 日) (ebina / Msieve 1.53 for P52 x P87 / February 22, 2023 2023 年 2 月 22 日)
9×10192+5 = 9(0)1915<193> = 5 × 7 × 67 × 1493189 × 2066149 × 109897564748116183<18> × 1364672965966684346226353190005572005977181316843<49> × 8294812737631994953231548715212209551342751655825951417131400774745096873473503485385195178008693570576352877481<112> (Bob Backstrom / GMP-ECM 7.0.4 B1=31070000, sigma=1:733364270 for P49 x P112 / April 7, 2023 2023 年 4 月 7 日)
9×10193+5 = 9(0)1925<194> = 5 × 459652829924947427<18> × 316772797475764920811<21> × 123621692980514027877313911618848112658569792613643058919189955616598105202881585769268931244869411760371393534043700808093086594794417427246687134741129633<156>
9×10194+5 = 9(0)1935<195> = 5 × 463 × 2347 × 1149851843587<13> × 9771239195507<13> × 14743034908940718796147030728701010750603398157535666267412151917579461466876405263214714368027309463567486085513356422374936940798594154885097506258344994505652949<164>
9×10195+5 = 9(0)1945<196> = 5 × 233 × 3433 × 5755238900267<13> × 391002401432480746368703871488028778067485625528176000678789669235510624095312196363882729022933696242875189041360418469065334024461375860120718971164726392591556952392793385427<177>
9×10196+5 = 9(0)1955<197> = 5 × 80828182391629<14> × 9739516815151781981<19> × 458490354280029633257937046899756043<36> × 49870311068696740952557799329001529244381134375931155106861458577556489413229815035244744795684042994783205705877079144105669243<128> (Eric Jeancolas / factordb for P36 x P128 / February 7, 2023 2023 年 2 月 7 日)
9×10197+5 = 9(0)1965<198> = 5 × 77587 × 4980809 × 88181505817961<14> × 638261264114210480577098566537<30> × 8275755639173621080667880578539790493866005953578763131870491764402138214678864268111870286114996209302655257790018618320555869379893492219571<142> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2220491506 for P30 x P142 / February 7, 2023 2023 年 2 月 7 日)
9×10198+5 = 9(0)1975<199> = 5 × 7 × 20356607 × 437438683893131306971620437095614395442976829076261070816520569<63> × 28876987609586793407727758901746733543457703108363558148313264627710355476992029562275294479063479477877526019213266952963344721<128> (Bob Backstrom / Msieve 1.44 snfs for P63 x P128 / April 25, 2023 2023 年 4 月 25 日)
9×10199+5 = 9(0)1985<200> = 5 × 19 × 521 × 14747 × 52859 × 20095417111123<14> × 21183606432337250276097257<26> × 566605027288505471462568553<27> × 9671218828381207538979625735111026964081914244117459009223639722974293501192973888364817602475235942102495369305970050761<121>
9×10200+5 = 9(0)1995<201> = 5 × 61 × 1783 × 20951206571733723569447<23> × 315308013195282216002093387130715936789<39> × 188934174972310851173897152056002792049077585026009<51> × 1325979343519220725139566088967592598246764376201988817373329720616891307142221674441<85> (anonymous / GMP-ECM B1=3000000, sigma=0:5213362749310179965 for P39 / May 14, 2023 2023 年 5 月 14 日) (anonymous / Msieve 1.54 for P51 x P85 / June 10, 2023 2023 年 6 月 10 日)
9×10201+5 = 9(0)2005<202> = 5 × 17 × 2267 × 8638198690392879894633323967457491512063271011<46> × 5406906685344998679381516165381137556708754041301157029339915662739872134153423138497516109010486876801760913965268062450247765742443929995543185455169<151> (Bob Backstrom / Msieve 1.44 snfs for P46 x P151 / May 27, 2023 2023 年 5 月 27 日)
9×10202+5 = 9(0)2015<203> = 5 × 29 × 29004643 × 801719129 × 498929896813023982821785532460721<33> × [53498943839661333212764487594538305610229675722223812400582899743495221874432452312115329103529033211061215181370816481677558492620991801309474379455887<152>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1671107332 for P33 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10203+5 = 9(0)2025<204> = 5 × 907 × 9709153 × 32596399326424937<17> × 10570037927813965544868866431854136709937257418795341446813224226268307620817794989732769<89> × 59324993313445880817571596954301973367086924745930019671292352785139248675429275624384427<89> (Bob Backstrom / Msieve 1.44 snfs for P89 x P89 / July 29, 2023 2023 年 7 月 29 日)
9×10204+5 = 9(0)2035<205> = 5 × 72 × 956861 × 3191407 × 12029439102752085367568565812403118840065395657375182749921410735856675247935045660513985954841034296607369196207815089411899914180153743458431143049718987992778244511289162148589096912530987<191>
9×10205+5 = 9(0)2045<206> = 5 × 307 × 2659 × 1379099 × 7113092274466869211<19> × 5106453777836910028270164077572339<34> × 440192360330230695648815140916387285206289522946358363888476718260616664123834536635543509439739189043197012663656297040503387240403338178187<141> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:1535759140 for P34 x P141 / March 11, 2023 2023 年 3 月 11 日)
9×10206+5 = 9(0)2055<207> = 5 × 23 × 43 × 163 × 21503 × 10571680031125921194301551042231215690572251309271391085136371660899483<71> × 4911855072118394609156428737034823494609117055124195939612680247825311078862109023186564659858431778000124229955932606726957307<127> (Bob Backstrom / Msieve 1.44 snfs for P71 x P127 / January 9, 2024 2024 年 1 月 9 日)
9×10207+5 = 9(0)2065<208> = 5 × 467 × 37262569 × 47733379 × 2167008688281687975743699106368747006682423665098123582604433722784331568664026998875176045771546373460293931418517667561588670235423542583741778524656389583589608636328230216547798206976353<190>
9×10208+5 = 9(0)2075<209> = 5 × 89 × 167 × 36869543 × 247430170856794366109<21> × 3321354219395553874245943<25> × 39969657110234373274599349862671704143532184665688089951776910758618992269804416881708499430103604944683786159652322400987486600318845923840870640537947<152>
9×10209+5 = 9(0)2085<210> = 5 × 6947 × 242883187 × 73672465577<11> × 2585291139524329<16> × [560096799587826139870791343652839515461014799323513213308831982350912969223411332075242726865149477594550115644258869621968691385762408973668937072129129250688079070742073<171>] Free to factor
9×10210+5 = 9(0)2095<211> = 5 × 7 × 6389 × 21624245731422403<17> × 690576160053252523<18> × 2998902415991325452509<22> × 898724732251581772416231428501793231473774730273469764375779886983131064433886289976130395399046899878595019741674400548736850209308678977490306813047<150>
9×10211+5 = 9(0)2105<212> = 5 × 2270987 × 13930603 × 568968130788687665905779462180613337526493208885236338759583406594016199863816225906643279137740089655176089764745216183967784083562997335528608278570728217809433610141423794532542906719420285174441<198>
9×10212+5 = 9(0)2115<213> = 5 × 2243 × 37003 × 216494021574023<15> × 259976653355509169<18> × [38532398141688776386971900509185231901360923540315910201293426041390894726500565870712871559115505386235675044090291065615028344271505446841875863299658519299246232618383687<173>] Free to factor
9×10213+5 = 9(0)2125<214> = 5 × 163286659 × 1495041270075223351081<22> × 2405246300739307912771318578253180411<37> × [3065554668046133680671823187876003194444868098002992632183972571138446723657267937117872868210635690722670454202283075547836942189559674337968460329<148>] (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:635661954 for P37 / March 11, 2023 2023 年 3 月 11 日) Free to factor
9×10214+5 = 9(0)2135<215> = 5 × 83 × 823 × 20029 × 52861 × 182914715927767<15> × 52206985850228467<17> × 467918879119104941650111721<27> × 1537665730995164635669779125700567219427<40> × 36223479571362395124722103397820392084964075973153206518059801085168445449713393213415422508768102666387<104> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3542364810 for P40 x P104 / February 24, 2023 2023 年 2 月 24 日)
9×10215+5 = 9(0)2145<216> = 5 × 16427 × 15581937011830643<17> × [703222574073316254838271810249719794694899433396265335089789107160511960161645756947198072905236776123143071212146062061249447244220013610207202624031095417489171256579389227432056752407769125041<195>] Free to factor
9×10216+5 = 9(0)2155<217> = 5 × 7 × 389 × 125774208144562460024887776043900501<36> × [5255732731113119084909245057604621012321698150183556320902122617754184068957872253410794063886830978317977550974968998578563667408495360901599470420986681113595682327235169016287<178>] (Eric Jeancolas / factordb for P36 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10217+5 = 9(0)2165<218> = 5 × 17 × 19 × 3243347 × 5888314651<10> × 15613951987<11> × 311708735806723<15> × 12481712695134030713<20> × 95533016752922341364646851417779926652580546323<47> × 502800928274631304422226132162199118188692169770160461018015887526884429382667051540933962667563805861963129<108> (Eric Jeancolas / factordb for P47 x P108 / February 7, 2023 2023 年 2 月 7 日)
9×10218+5 = 9(0)2175<219> = 5 × 3191097361<10> × 74266572641<11> × 43554278757129674234383<23> × 63626235199420323799429<23> × 13471382257165664106602955743<29> × 76815865749813905427087043726498645643<38> × 264855457460656932050028229632620903862851280683850892662619361314981699730043453472007<87> (Florian Baur / CADO-NFS for P38 x P87 / February 24, 2023 2023 年 2 月 24 日)
9×10219+5 = 9(0)2185<220> = 5 × 1805065728046986299<19> × 71542197229988216895232702405778178035872854542323<50> × 13938537580200844914176716634296480723957008560679013357804646805257018423734846031904189304554827784697833288720789569288042362566660271232692173344513<152> (Eric Jeancolas / factordb for P50 x P152 / February 7, 2023 2023 年 2 月 7 日)
9×10220+5 = 9(0)2195<221> = 5 × 107 × 4345781636069<13> × 54721937733165556003<20> × 83570498887651896016482553944609168427<38> × 8464598530463010526138795643315244806764644575261596083476548453686525502931373468593899512319782869048311849989570215316664672986063666174418771687<148> (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:2659758852 for P38 x P148 / March 11, 2023 2023 年 3 月 11 日)
9×10221+5 = 9(0)2205<222> = 5 × 1291 × 909959223589340278071001<24> × 529147877191389125040726963974713<33> × 289565804144192963451617550195952879976331768460975638020727131849114548211114160091872263669276514880884992704477496735038971362586878086591222477091249611540147<162> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2211144537 for P33 x P162 / February 7, 2023 2023 年 2 月 7 日)
9×10222+5 = 9(0)2215<223> = 5 × 7 × 3349096586677493178681941<25> × 76779767464980293088159113266718030983529175184470041300492563149363438170252798356662866648610232281416489240739950129740446035277182570886408833048763134708476384927365839919827675185830259522523<197>
9×10223+5 = 9(0)2225<224> = 5 × 4785436379549721122606455299690787055579<40> × 3761412454864499646235080451568477393072159378522144842224533245718440736093222849591385897494543362985309028471927483098978847814516682480484004772165521683975543674797597093456936019<184> (Eric Jeancolas / factordb for P40 x P184 / February 7, 2023 2023 年 2 月 7 日)
9×10224+5 = 9(0)2235<225> = 5 × 523 × 28349 × 6319003 × 2550837349<10> × [753185140903087431601848632266799956977766537131390756740493322474795349832278041678007538343297982684549599084771896826960711032623231481418598969803983490520954689849415689378459387974203459639976329<201>] Free to factor
9×10225+5 = 9(0)2245<226> = 5 × 67 × 2459 × 1117681 × 448759922099<12> × 43918442252325414259<20> × 27065854834728966918478313696811481<35> × 18324771402687747462576309383131922605015938021755561134852586560870077033567656478715513587513773022845607431771319961872982563518408961563728185217<149> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2729448589 for P35 x P149 / February 7, 2023 2023 年 2 月 7 日)
9×10226+5 = 9(0)2255<227> = 5 × 983 × 32027 × 5740559131263232093054572067<28> × 134649608305297148590757934763<30> × 739679254349804916939922899899650398679370090935150606991115411370952731998202373082750601896078026877946837848463606092806834289909077699781887418673496763523141<162> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1249602961 for P30 x P162 / February 7, 2023 2023 年 2 月 7 日)
9×10227+5 = 9(0)2265<228> = 5 × 43 × 1123 × 9041 × 27692257 × 221345273 × [67263462383396774964032294315574330257172927066108083268269729239871025448842623342872696950805344844749957646044430995779464088180534145473202256614247588189430238022750788486641640330998363516300489209<203>] Free to factor
9×10228+5 = 9(0)2275<229> = 5 × 7 × 23 × 18804787 × 19089417161<11> × 12420441061729109<17> × [2507543775558618156530830825046630682316531940905534303770812133089776090460978830681435152450477894133837794984038351442787011961585373569076231958037926504095607600125337567781608160581934007<193>] Free to factor
9×10229+5 = 9(0)2285<230> = 5 × [18000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001<230>] Free to factor
9×10230+5 = 9(0)2295<231> = 5 × 29 × 109 × 15446425829<11> × 5501993777853969406382577535490525023<37> × [670038736491672770614392764288593191315590788884774006092927816898466736636407784371207903461758374736621949942175436111837982498029551682673980458908444265846679719554307732783723<180>] (Dmitry Domanov / for P37 / December 23, 2023 2023 年 12 月 23 日) Free to factor
9×10231+5 = 9(0)2305<232> = 5 × 59 × 20237345888593<14> × 151772428340488649<18> × 109425363755763233291<21> × 144160691492550128743433210219<30> × 156470768556553028336669660254343929<36> × 4024166900056958892781050253577723235257259387040454914881597627871600862239212357173510951481539012766087655508347<115> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1492270352 for P30, factordb for P36 x P115 / February 7, 2023 2023 年 2 月 7 日)
9×10232+5 = 9(0)2315<233> = 5 × 2113369 × 184623017728823254439329545160902205586981<42> × 46132960656011335889744071007421296178814132412227432784797758362748124755940359031924530682952242554799784778436607960780657990639810475349805198601046333650952145666152720283645921909<185> (Eric Jeancolas / factordb for P42 x P185 / February 7, 2023 2023 年 2 月 7 日)
9×10233+5 = 9(0)2325<234> = 5 × 17 × 83154582381989674937<20> × 6465804972078129198421197016924931<34> × 203661159235574027047064663109141357209<39> × 3188635745588910960510232014223813041964853559922693319797228403<64> × 30325060381289978544545960864209115989631227249858229558738906610699740088137<77> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:440196859 for P34 / February 7, 2023 2023 年 2 月 7 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:1199707703 for P39 / March 11, 2023 2023 年 3 月 11 日) (Eric Jeancolas / cado-nfs-3.0.0 for P64 x P77 / August 25, 2023 2023 年 8 月 25 日)
9×10234+5 = 9(0)2335<235> = 5 × 7 × 47 × 120515501 × [45397683905083631304459589833506261387998131061793319770354749624981391637540302298620709743960629267817773818571670911579328060814361264659814380392948706851878174601286465861445907709213969832623502920045069794593310774269<224>] Free to factor
9×10235+5 = 9(0)2345<236> = 5 × 19 × 18823128662590427353<20> × 68212485595634831847478729<26> × 184101266965018543236682426627103832138373963<45> × 4007803691775058390790237992779715505939337188721610132737426347103063385284259293989751009698853086512637721006174432033338853581461825075649809<145> (Eric Jeancolas / factordb for P45 x P145 / February 7, 2023 2023 年 2 月 7 日)
9×10236+5 = 9(0)2355<237> = 5 × 4289 × 12709576906661<14> × 24495996035867<14> × [134800114896760741193921584148747662098761342969326191830930627579288151675915124550338234691977870713469967250124128209171115461490450262010142972552470856756989242453731286744370002614510711966754408906007<207>] Free to factor
9×10237+5 = 9(0)2365<238> = 5 × 347 × 5187319884726224783861671469740634005763688760806916426512968299711815561959654178674351585014409221902017291066282420749279538904899135446685878962536023054755043227665706051873198847262247838616714697406340057636887608069164265129683<235>
9×10238+5 = 9(0)2375<239> = 5 × 13627 × [1320907022822338005430395538269611800102737212886181844866808541865414251119101783224480810156307331033976663975930138695237396345490570191531518309239010787407353049093711014896895868496367505687238570485066412269758567549717472664563<235>] Free to factor
9×10239+5 = 9(0)2385<240> = 5 × 1433 × 517564284773409331415187965753201<33> × 242695662767625041667561008431202877525844900321772379837380717262703300950806154622084396914237953918782015086238729831595745042276647508419603191024238807339472989091821662793749724795328956208318336697<204> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1519190834 for P33 x P204 / February 7, 2023 2023 年 2 月 7 日)
9×10240+5 = 9(0)2395<241> = 5 × 7 × [257142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<240>] Free to factor
9×10241+5 = 9(0)2405<242> = 5 × 224579 × 11260267 × 2015152819<10> × 742227629291411078403257<24> × 3772618287778706892977504441<28> × [1261440307098231794644211653155348545732754372609519684981855694146037107273787414570144717265778374458509896353556317101922727833844530263461883972669645743933840483819<169>] Free to factor
9×10242+5 = 9(0)2415<243> = 5 × 9323340503<10> × 611673514050407<15> × 1303785541843079151523127<25> × 24208903718097886540464354489448122012147189133424860107607840027129307398340804226997914982186100563274758810591697187008900413391488128294259510076083911259229158640222829752048400958184336903<194>
9×10243+5 = 9(0)2425<244> = 5 × 491 × 13230625337<11> × 768916279525567171<18> × 9632134084965749978681165829987491<34> × 37411839814448098856879138933390130847116955586232238764985920778926712149243858749124646375500649127360436476949160639004987211297486161531631706152160988747949864733927788410723<179> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2486238535 for P34 x P179 / February 7, 2023 2023 年 2 月 7 日)
9×10244+5 = 9(0)2435<245> = 5 × 679369 × 973885139463617230262192745607<30> × [27205645845467180667750354090375043768918642117363867662394814772534453453247595826098772724701725669003458665041557346880854793125676819927481014871110631415281644328083559035063494394044699505823465552379647<209>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:809886616 for P30 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10245+5 = 9(0)2445<246> = 5 × 337 × 3209 × 25307 × 111227 × 4065427 × 7243710167825910718829909208846227<34> × [2007958654396456053064776675622756696910623566258883558675471122915651007003386361348326171873113902435557032565850789291313367054245786184282410790277573975420314503799965742071078379104137<190>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2162510786 for P34 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10246+5 = 9(0)2455<247> = 5 × 73 × 55519831247<11> × 85737970127869<14> × 138509150259923739167<21> × 107670494779654490119400303<27> × 73923390346917057904693261314687632702690552170115003276088459187301396815829553976836328474777949687290598350810801729763799259402156598535885228678399214161100648593893549<173>
9×10247+5 = 9(0)2465<248> = 5 × 97 × 331 × 1029534457489<13> × 441259733913466098793387<24> × 8109372742765794576752019947<28> × 417617406548976502198886769372203153<36> × 8111956759328512898820494827759837293509449<43> × 44920658050472094468201310922420925290025387590822285259359005030751818993379558872359001031052250339<101> (ivelive / GMP-ECM B1=110000000, sigma=850135534 for P36 x P43 x P101 / February 24, 2023 2023 年 2 月 24 日)
9×10248+5 = 9(0)2475<249> = 5 × 43 × 8641 × 12203 × 155901323 × 8216482601350123<16> × [30991150029378211040139145675386677477394775182776134247696249062011449492020640028898257676893751926210520942339505920137569661898910737015346947425844461843072516507750937372497963926358416218172425759830343404721<215>] Free to factor
9×10249+5 = 9(0)2485<250> = 5 × 17 × 1619 × 23549108606372597151577<23> × 2777168702795752042646802413647185026058710298617299960333825836942044929492433705288621278877663812085787302403430043632488884284892835052866443619554419719375669749002331118187691854347089781782878030468518697291642436131<223>
9×10250+5 = 9(0)2495<251> = 5 × 23 × 8740841 × 1415178827<10> × 977269876772382724081<21> × 326624443879522682543501<24> × 9139303740022081444495944089<28> × 21687216737030762506663890871530250670748788250783708041475401427714095904985767372133175120719685642310554805840933986288917466270455017513973124460342515945849<161>
9×10251+5 = 9(0)2505<252> = 5 × 131 × 521 × 54403 × [48477547106828976500283619370606886746789191268238327470566962982073450419926558062028267396148320936808948273709336189506162709926533723606422706511619099971823152907362259843857650495125306181729984413205495732645011271114538045173987024817<242>] Free to factor
9×10252+5 = 9(0)2515<253> = 5 × 7 × 89 × 25127 × 472381755179544494438915603<27> × 1495364114807386847717692849<28> × [162781013746704857825707499095728892350905527172907197172384664375796984832551175016654914349127927455989601023283992979909139911170769719047399832975479272991836317909595749185793727476733523<192>] Free to factor
9×10253+5 = 9(0)2525<254> = 5 × 192 × 15599185170609068122728512903179<32> × [3196416690970565018747083982322717080727052502859962850403436122815724058339704244773519684190108561734566443246865946394841734648284901138880767454570449377359943814700967728366005103062900864064217087968517017300999979<220>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1929916698 for P32 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10254+5 = 9(0)2535<255> = 5 × 11781948787139593121<20> × [15277608420474230920553238507785517705801994909388188271928226180515474873407114859293609738314484591832633622558596473975448244563666672995137547605851966593293005299094794963891046074374297530590963150612633407248741713670231396573281<236>] Free to factor
9×10255+5 = 9(0)2545<256> = 5 × 83 × 540041 × 6029014939<10> × [6660722186644184027595476071023538819115677264775040469661517263955350724154006094170231608285997151441475191365668744278030073485658622258133176010609994720230932010936493591925136790194321918726009092885569342884132695375857538215205753<238>] Free to factor
9×10256+5 = 9(0)2555<257> = 5 × 422889715867<12> × 359610889800210533647<21> × 118362068599814569579205986305518053537489913944558562822697381319777088736891611475531087452667887875869944194656204141477181556466998221086953458402052093697111515376665019105468589573239649629189682447262097948250779295549<225>
9×10257+5 = 9(0)2565<258> = 5 × 5349834953<10> × 14193587103217<14> × [2370499968838774513490043635725357979879777265250033864499405100549775354359308481968186746770193625997523334193905634911954827656125290285123749641001778304810122734381024390892026629587856993466781585301165839300031215094477801096201<235>] Free to factor
9×10258+5 = 9(0)2575<259> = 5 × 7 × 29 × 67 × 794203 × 1964723 × 3298825780184741<16> × [25710435444522745013613538448564516011391743991421345126845435123669719748143862797592359956482250701964210110887432755089141962047967453341673001842948756189581802433896000617365485060609104291327439852252765881398804985429869<227>] Free to factor
9×10259+5 = 9(0)2585<260> = 5 × 58427 × 1099847789387<13> × 28652308802371<14> × [9776124149726138394500232674956701299092602754877376100308080708838110402927874133710858889729941372252161317922440383509686831764669983899500172250064168292555853606663746043707767831465541809598311552981665258020326502147699219<229>] Free to factor
9×10260+5 = 9(0)2595<261> = 5 × 61 × 11753741 × 147037469 × 127876903270724143<18> × [13352003097281540955291633599255509226287138452509597645729298040520926654571579391277206456605058282183186638370383915177910527983501792421732742753050006701547274351739006890668370279854309491389636768188045234793879566198803<227>] Free to factor
9×10261+5 = 9(0)2605<262> = 5 × 2192023297<10> × 36849741163<11> × 22283987074455802146309621174258815545051442934455326690534427808146322919467013187212569324980077907295099004571255714955405809390170531755565325947554868350492001895993981327222122488526148775001529638642721970264954849350282483077654362691<242>
9×10262+5 = 9(0)2615<263> = 5 × 2087 × 539269 × 178057823 × 179164441 × 408184783 × 6968558163689<13> × 432870045392504267<18> × 407168759792898290239141168926672736416107612904759339258080373389631600253664039776500736439219369068507477870086803786019373044567533000061589157572989646429965816430593640631364032197327837991761<198>
9×10263+5 = 9(0)2625<264> = 5 × 3680033509188104473<19> × 2114289155233536511756147<25> × 517263146580921784602786737<27> × 2290710419988473086112989568372910574033<40> × 19524261733364599513854112316809138443232347714776876721934175643013439397247632670608465532087734463829331639478880951153665217195277732268782427646312051<155> (Eric Jeancolas / factordb for P40 x P155 / February 7, 2023 2023 年 2 月 7 日)
9×10264+5 = 9(0)2635<265> = 5 × 7 × 223 × 461 × [2501316665300206636548961189292697128071582124479413469034394493768247452478457410220101970342722071757216645984483498952921051497941277422420968815529285554479371780423306156990971636458635865267967443973980748199399406076254028162046410541104275722915256781<259>] Free to factor
9×10265+5 = 9(0)2645<266> = 5 × 17 × 1153 × 37097 × 102859 × 1272681307<10> × 189100868436043725209321528701602909642206874851637709822083068257353951178268398766371739337287855974769162329005603173450588419332148440202107724863030681383352110637239855014963511769464651819790566393841122083000768468754781929992320663841<243>
9×10266+5 = 9(0)2655<267> = 5 × 562885161250550064698473501404985007657663<42> × [319781035975611445807798919632426846858308108555865403621593028890310536255542341613026486623385883903082778836025075411368184558133588124893329904533403755584373904257533652865805876694987788503374484987395699002262710033727<225>] (Eric Jeancolas / factordb for P42 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10267+5 = 9(0)2665<268> = 5 × 7793 × 34388857 × 9266860134473<13> × 76250016246285401284937<23> × 9505556309652011803675473559378219746664731920286274435788066290948892341956837028703064604444202087250390293565729969184137967770402054179318052862239700096755364882938269124259625445135370323110835370177377856117624201<220>
9×10268+5 = 9(0)2675<269> = 5 × 1223863 × 12617373212317169044448496326726803<35> × [1165656931220510190223810396124121841466266616353783295883118027407226760342780388516178499620527303996113826078012520718890196234268017867326615532369439158363189691070894346587751760124266692976498912758170404616918263579790909<229>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:556853265 for P35 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10269+5 = 9(0)2685<270> = 5 × 43 × 179 × 857 × 27287905136326584074263124231674921005304617159028908351903005444391873116092299216731002956341322575026200178917698010514636246918551212348565391447273172699542427310705697062714731178508531032942717077938350255119173103706622274298325629300782298760416589287769<263>
9×10270+5 = 9(0)2695<271> = 5 × 7 × 283 × 10009 × 1376509 × 1933163 × [34115348391252832313730348374229446461874237382124894909148579786835192735256012856905246310603708757639677099215819698506576447954557378980580723008961678641221267187652926216254127087903224715492491922875923059637381740435468543218009177213651921507<251>] Free to factor
9×10271+5 = 9(0)2705<272> = 5 × 19 × 13934027 × 20584281071324730972403<23> × 5950219359527859114650401699<28> × 555103002504617014946810760267390332607558187690634122434609243458258876634506553774322171851725624553932773592595616123571453032368563368856524860609399219819208525567980185203799911595015488350633400853243682041<213>
9×10272+5 = 9(0)2715<273> = 5 × 23 × 39521444762445983<17> × [198021276893152284990399204808776341802370341670932435562765569626222998196523014239439682636497529168760198623605917301876843605667598031753606198444746680169650225944131488650384963774833489322455864677087476963194752817982322784147809509708319917239289<255>] Free to factor
9×10273+5 = 9(0)2725<274> = 5 × 107 × 328010779 × 328082753611<12> × [156320958914548915042859534972191792961879874954332336045164178480815969872867620008302979902953198227923371236716539594964230544041941407774130059424305085213501802871045830432967416220068066600029567511691505353717352960946499642611676992850373398347<252>] Free to factor
9×10274+5 = 9(0)2735<275> = 5 × 52588559741<11> × 71273554028157426401<20> × 266573905856346432092371141634221595101<39> × 32960600136879897850397243458480823981287<41> × [546562796910349653889218904613129184961445193376318193999772389545153145230789582116095934315303263738143499552626940545660507260945271735821114537655875126792665503<165>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:307090615 for P39, factordb for P41 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10275+5 = 9(0)2745<276> = 5 × 10167281 × 503773785014971<15> × 5452939693018228571<19> × [6444680913408996337047527177945594850606641780699586621797678101628822614464370902136021851097811605553528790873187881373828071350664196271730810895303419858254372537884070610220766797377242590004129658107797340916578221563694866171481<235>] Free to factor
9×10276+5 = 9(0)2755<277> = 5 × 7 × 1169369 × [219898814782038127278166991892941529027315464274200139440281773454621375166558081446367350987706068095577309520897900613798675060774534935385787426503402384411715084924311438782063537807875138520982561657489759739776629227264569915178918838157282138608819921562092767247<270>] Free to factor
9×10277+5 = 9(0)2765<278> = 5 × 710473 × 12325224819792485581967387<26> × 534575011695905388439759681<27> × [3845222040632376904737371138425294427805134101585181813527649698399837531113657987754841455987079328596262006707498459656390054986651724713537644310389125453912031793650966176519997535475217812987185403686835395144938171<220>] Free to factor
9×10278+5 = 9(0)2775<279> = 5 × 4575947 × [39336119933207268353414058335902928945636826650308668347775881145476553814980811622162581865567935992265644685132935324644275818754019659755674617734864499086200080551632263223328417046788347854553385342968351687639738834387723459209645566262021828487086935228926383981283<272>] Free to factor
9×10279+5 = 9(0)2785<280> = 5 × 401 × 1993 × [2252271979359178571383883492473032171202700724355693806126930541183418773687957727357471849728413537155605717267293382199293537355807670988109255211194292242299419539460430709478186120248800977986543926185539663135187620512191673350492309116821593782728327200063063615422057<274>] Free to factor
9×10280+5 = 9(0)2795<281> = 5 × 47 × 263 × 727 × 105509 × [18984317167450948312229818660139928213659429618823006073639482711577768651876289248782406775629786113892535853785855852263180345527098785229115475358899050327352905701823681093300218456127896639713327336837851435764084003063182927743966868154015630855092822007723307587<269>] Free to factor
9×10281+5 = 9(0)2805<282> = 5 × 17 × 1667 × 8819 × 2017753 × 1002866659<10> × 355924141740235274491509969688194354123437150157721532868212095415973154740727342933816631591911207316069181527400447218937779256622878823445936774515775331693573972313966004890427552024099779107751850133704728224454586833294690306841095515891765434379421643<258>
9×10282+5 = 9(0)2815<283> = 5 × 7 × [257142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857142857143<282>] Free to factor
9×10283+5 = 9(0)2825<284> = 5 × 1451 × 354221865091<12> × [35021095504283119955945940088569749499472939349110109079810266333008351824686986909339216924587885292769304197700843914031463447635781366212488589415957599504558154462655608822019216014797453483236532549284737827374718485136835320791485991731742138281781490319705010561<269>] Free to factor
9×10284+5 = 9(0)2835<285> = 5 × 109267 × 80097163 × [20566782336633010617237715670938624539184771339990175256288506959219524115194560664133462320207651518233926501986092556049699352358971941297584595592638753867167679323311786828996982773173942181154446685538880960113195271505038149838828041599392993805865514469931625472881<272>] Free to factor
9×10285+5 = 9(0)2845<286> = 5 × 1907 × 1219643 × [773907551766715907924815092880594365780785713176108978060189981379702614251239879760890134810873274353463324713093843035256027950765021394775306521230818047270093543379541829797976666086246034976560045003343261275943418554337503080866845645313849761277961382495569214810780801<276>] Free to factor
9×10286+5 = 9(0)2855<287> = 5 × 29 × 1510277843<10> × 1076799732254134857581198111114238131120161<43> × 3107449866236567970079934826656549668971070447<46> × [122822684840389509375185056318994225935214224158347637949496745069378632680261532971411250326731812106021301348229582836095917469363075175440367399731938903644359609178364919839386951504249<189>] (Eric Jeancolas / factordb for P43 x P46 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10287+5 = 9(0)2865<288> = 5 × 163 × 619 × 643 × 20347 × [136358713035508190768991092583765404247815857017419160304458303589556906272584769859147925344442101002987038183441799880872144680627518393639318307836706726580156366783463256031788645830195360536740356729628069009127894633157574943280424586138682737699190427377997221612447473<276>] Free to factor
9×10288+5 = 9(0)2875<289> = 5 × 72 × 1489 × 16369 × 68041 × 41266427 × 43070821167629<14> × 682601843116739964038530864114084233412009<42> × 18257504427391292605378115927125892835096309145558616872389453862001753745939255340921449738782692132796500227053092776072780384410493847730225209164049368569440685701766012453596464688146462881005446391156810207<212> (Eric Jeancolas / factordb for P42 x P212 / February 7, 2023 2023 年 2 月 7 日)
9×10289+5 = 9(0)2885<290> = 5 × 19 × 59 × 89815692137<11> × 10043783671427929199716393<26> × [17799890122249497883280435921172725404860183499573211853576881166644360848698465645284837486298861800419667289283686077354291289118072504769866240274239320228797975298502197849712987135912903333806955669800760954233636981710431052758241204726829957841<251>] Free to factor
9×10290+5 = 9(0)2895<291> = 5 × 43 × 91559947 × 8125678136801<13> × 29347684762006538191846571603<29> × 418910114733857688877409693062007<33> × 457661320270249869508296986243782054301389192105514335847475732570818586052977679338286829236026975482400204525956463289132612981452547386192549534336498866913760240152764995778308418968649740616927692743461<207> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3711827311 for P33 x P207 / February 7, 2023 2023 年 2 月 7 日)
9×10291+5 = 9(0)2905<292> = 5 × 67 × 895673 × 135024979 × 293487721 × [756909864916522208522498831244378714071738609145452819520047422945833992328945243854481445499424261909928804546954020206240939594229170191418574820427170604552953865178258417251941747506544999868914800508327837026065232405551151980012274418927965679170094227888117929<267>] Free to factor
9×10292+5 = 9(0)2915<293> = 5 × 1740989552747<13> × 10338947739002172965921036609676900377269670954452434184983570575624725391808859133417006414830854888508458664365483439569190401805360615886910055352519535770119260761491871498126929592796995483738919286545510120873203229715715828375264296935698997341847832631703047132426343126083<281>
9×10293+5 = 9(0)2925<294> = 5 × 257171 × 927491 × 1007254011059<13> × 711586451944273<15> × 1385276794612650644413721017<28> × [760041964518762618288794265963454635330914207381431727848590956224607409412845782942263377526434881241508668880638881835051589869263570010255235563673016316775656218896900207935246451976512928820423710185541189848262918090537339<228>] Free to factor
9×10294+5 = 9(0)2935<295> = 5 × 7 × 23 × 2687 × 54503 × 505644296869<12> × 6821045059205508515660744787206861<34> × [22134133408337318254224261384326355997271669677817174852455778787928657915673394413138804762391156882325432602113292631710025485122857872255969475217969802938941465593479258340812344060606516941425181200489486266224781211156011983608216809<239>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:238730988 for P34 / February 7, 2023 2023 年 2 月 7 日) Free to factor
9×10295+5 = 9(0)2945<296> = 5 × 113 × 5531 × 2775139139<10> × 364701838659624786072499<24> × 385165889486416210080497<24> × [73878806184791073164147030659228733342424724450043858146173223204615238000903644977528915847809918793372202325944187168438945424770301136194988941839948264015993419968928031765252915564571960944871974272910092870864366380464435326251<233>] Free to factor
9×10296+5 = 9(0)2955<297> = 5 × 83 × 89 × 1061 × 3847 × 586891780866010901<18> × [10172057545356034625349762721101957275968182377240710215451191856175372338680570470255639726445561520647648893246477669607895893937348772994477604015523792238351261595565931739994236266414620810701985898602813593501740615956065123450994313247882017094628400721857989869<269>] Free to factor
9×10297+5 = 9(0)2965<298> = 5 × 17 × 4513 × 87011 × 1845706148909285670346142689<28> × [146090350554099989117648516808253022418521197867287567443418894373959001639398532694179009515367119553726888685508662895998984776066055865016621594357442228619114701663763336308757695856655908636184868487064210611462041744494178492642543467528211928012659158939<261>] Free to factor
9×10298+5 = 9(0)2975<299> = 5 × 2330628578485550249<19> × 7068277259584046203692165629908137469<37> × [1092662053154249511943296491242235450192735818673517700724822114107932357928662099190180153151831004653992017376083202486364592140066525552762148018000497374284697525287629077523946103635279596110819641415219199080470726201186806610438166076621<244>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:578665723 for P37 / March 20, 2023 2023 年 3 月 20 日) Free to factor
9×10299+5 = 9(0)2985<300> = 5 × 1334487563<10> × 3335145211<10> × [40442987274231730426795935410079878201313964168763463082017203613302765316405006012113420248310683068680773712147775883679587498723017131715010312603266020592639581104265110078361838408196979179880273793846949052693258512679216386463865946023614228413329162421959395344720311713657<281>] Free to factor
9×10300+5 = 9(0)2995<301> = 5 × 7 × 26381703913169845995108647<26> × 6163141929509306938443763956867821091871883<43> × [1581500939031430173787181007057150287959981827494308816395280393336558583919574160886593950541593447430632593728483131292990009854362816341951345788998230898526338749988034608763082417796607129694610294381984386714098036789758688243<232>] (Eric Jeancolas / factordb for P43 / February 7, 2023 2023 年 2 月 7 日) Free to factor
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