Table of contents 目次

  1. About 211...112 211...112 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
  2. Prime numbers of the form 211...112 211...112 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 211...112 211...112 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 211...112 211...112 について

1.1. Classification 分類

Plateau-and-depression of the form ABB...BBA ABB...BBA の形のプラトウアンドデプレッション (Plateau-and-depression)

1.2. Sequence 数列

21w2 = { 22, 212, 2112, 21112, 211112, 2111112, 21111112, 211111112, 2111111112, 21111111112, … }

1.3. General term 一般項

19×10n+89 (1≤n)

2. Prime numbers of the form 211...112 211...112 の形の素数

2.1. Last updated 最終更新日

April 14, 2022 2022 年 4 月 14 日

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

No prime number of the form 211...112 exists. 211...112 の形の素数は存在しません。

3. Factor table of 211...112 211...112 の素因数分解表

3.1. Last updated 最終更新日

August 10, 2024 2024 年 8 月 10 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=209, 210, 214, 217, 218, 222, 225, 226, 229, 231, 235, 236, 237, 240, 241, 242, 243, 245, 250, 251, 252, 253, 254, 255, 256, 257, 258, 260, 262, 263, 264, 265, 267, 272, 273, 275, 276, 277, 278, 279, 280, 284, 286, 287, 291, 292, 294, 295, 296, 297, 300 (51/300)

3.4. Factor table 素因数分解表

19×101+89 = 22 = 2 × 11
19×102+89 = 212 = 22 × 53
19×103+89 = 2112 = 26 × 3 × 11
19×104+89 = 21112 = 23 × 7 × 13 × 29
19×105+89 = 211112 = 23 × 11 × 2399
19×106+89 = 2111112 = 23 × 32 × 109 × 269
19×107+89 = 21111112 = 23 × 112 × 113 × 193
19×108+89 = 211111112 = 23 × 23 × 503 × 2281
19×109+89 = 2111111112<10> = 23 × 3 × 11 × 131 × 61043
19×1010+89 = 21111111112<11> = 23 × 7 × 13 × 173 × 167623
19×1011+89 = 211111111112<12> = 23 × 11 × 2398989899<10>
19×1012+89 = 2111111111112<13> = 23 × 3 × 17 × 5174291939<10>
19×1013+89 = 21111111111112<14> = 23 × 11 × 36791 × 6520589
19×1014+89 = 211111111111112<15> = 23 × 67 × 393864013267<12>
19×1015+89 = 2111111111111112<16> = 23 × 32 × 11 × 53 × 107 × 470030741
19×1016+89 = 21111111111111112<17> = 23 × 7 × 13 × 4001 × 7247882779<10>
19×1017+89 = 211111111111111112<18> = 23 × 11 × 293 × 1201 × 6817384543<10>
19×1018+89 = 2111111111111111112<19> = 23 × 3 × 87962962962962963<17>
19×1019+89 = 21111111111111111112<20> = 23 × 11 × 239898989898989899<18>
19×1020+89 = 211111111111111111112<21> = 23 × 12301 × 1445077 × 1484532457<10>
19×1021+89 = 2111111111111111111112<22> = 23 × 3 × 11 × 7996632996632996633<19>
19×1022+89 = 21111111111111111111112<23> = 23 × 7 × 13 × 6373 × 1817269 × 2503897667<10>
19×1023+89 = 211111111111111111111112<24> = 23 × 11 × 42899 × 38320063 × 1459335127<10>
19×1024+89 = 2111111111111111111111112<25> = 23 × 33 × 59 × 421 × 4288213 × 91758622201<11>
19×1025+89 = 21111111111111111111111112<26> = 23 × 11 × 127 × 21713 × 86997118058374949<17>
19×1026+89 = 211111111111111111111111112<27> = 23 × 26388888888888888888888889<26>
19×1027+89 = 2111111111111111111111111112<28> = 23 × 3 × 11 × 2333 × 3427618086855120717101<22>
19×1028+89 = 21111111111111111111111111112<29> = 23 × 7 × 13 × 17 × 53 × 179923 × 178882657176507173<18>
19×1029+89 = 211111111111111111111111111112<30> = 23 × 112 × 61 × 407651 × 8770359329678281319<19>
19×1030+89 = 2111111111111111111111111111112<31> = 23 × 3 × 23 × 811 × 448207 × 335212643 × 31387168171<11>
19×1031+89 = 21111111111111111111111111111112<32> = 23 × 11 × 741486044269<12> × 323538105340197271<18>
19×1032+89 = 211111111111111111111111111111112<33> = 23 × 29 × 375157 × 93855053 × 25843563255094621<17>
19×1033+89 = 2111111111111111111111111111111112<34> = 23 × 32 × 11 × 22481 × 1943257621<10> × 61015462097227511<17>
19×1034+89 = 21111111111111111111111111111111112<35> = 23 × 72 × 13 × 4142682714111285539856968428397<31>
19×1035+89 = 211111111111111111111111111111111112<36> = 23 × 11 × 479 × 602909 × 1597657113743<13> × 5199451859863<13>
19×1036+89 = 2111111111111111111111111111111111112<37> = 23 × 3 × 2286623 × 9788959 × 3929784838429362383059<22>
19×1037+89 = 21111111111111111111111111111111111112<38> = 23 × 11 × 31279688371543<14> × 7669481455487911214893<22>
19×1038+89 = 211111111111111111111111111111111111112<39> = 23 × 47 × 199 × 787 × 9239 × 388034616545484068687440141<27>
19×1039+89 = 2111111111111111111111111111111111111112<40> = 23 × 3 × 11 × 1759 × 4546124500644114060828102897460487<34>
19×1040+89 = 21111111111111111111111111111111111111112<41> = 23 × 7 × 13 × 39229 × 1507354813438069<16> × 490407363549503579<18>
19×1041+89 = 211111111111111111111111111111111111111112<42> = 23 × 11 × 53 × 499 × 3072928633<10> × 29518856514033055765314349<26>
19×1042+89 = 2111111111111111111111111111111111111111112<43> = 23 × 32 × 29320987654320987654320987654320987654321<41>
19×1043+89 = 21111111111111111111111111111111111111111112<44> = 23 × 11 × 239898989898989898989898989898989898989899<42>
19×1044+89 = 211111111111111111111111111111111111111111112<45> = 23 × 17 × 190283392794447943<18> × 8157766996388340583474319<25>
19×1045+89 = 2111111111111111111111111111111111111111111112<46> = 23 × 3 × 11 × 10531 × 9874393914425011<16> × 76900135235607858647713<23>
19×1046+89 = 21111111111111111111111111111111111111111111112<47> = 23 × 7 × 13 × 7649 × 67751 × 228155536933560293<18> × 245260906284707497<18>
19×1047+89 = 211111111111111111111111111111111111111111111112<48> = 23 × 11 × 67 × 419 × 691 × 123669198553198263896694693434411152993<39>
19×1048+89 = 2111111111111111111111111111111111111111111111112<49> = 23 × 3 × 7321 × 22367 × 537182313413513681128455262351700449109<39>
19×1049+89 = 21111111111111111111111111111111111111111111111112<50> = 23 × 11 × 72178218238761796979<20> × 3323703407382771639194017481<28>
19×1050+89 = 211111111111111111111111111111111111111111111111112<51> = 23 × 827 × 2543 × 1313731 × 9551306610327220905280807998361294279<37>
19×1051+89 = 2(1)502<52> = 23 × 33 × 112 × 7639 × 24738644647963874197<20> × 427424643064793136069649<24>
19×1052+89 = 2(1)512<53> = 23 × 7 × 13 × 23 × 7691 × 176816039 × 927144459722192061128760831150695377<36>
19×1053+89 = 2(1)522<54> = 23 × 11 × 173 × 226325647 × 61270093865145397982196004487610741551929<41>
19×1054+89 = 2(1)532<55> = 23 × 3 × 53 × 52783 × 31443429635886541143701199879950971551004294537<47>
19×1055+89 = 2(1)542<56> = 23 × 11 × 2039 × 780323 × 150777585941588716493745274042543040373698767<45>
19×1056+89 = 2(1)552<57> = 23 × 79292783 × 98077073 × 3393281952673437734066122883964306730471<40>
19×1057+89 = 2(1)562<58> = 23 × 3 × 11 × 797 × 6841 × 261420983 × 5610335195977822135758607197403493897363<40>
19×1058+89 = 2(1)572<59> = 23 × 7 × 13 × 10859 × 572791 × 4662229989177243090222902528472187568064243991<46>
19×1059+89 = 2(1)582<60> = 23 × 11 × 191 × 160409 × 238430341 × 1808254222127<13> × 181612322782803898679927418103<30>
19×1060+89 = 2(1)592<61> = 23 × 32 × 17 × 29 × 167587232145133<15> × 354887536641065903671293145687436204076809<42>
19×1061+89 = 2(1)602<62> = 23 × 11 × 907 × 436039836745754330959<21> × 606589605430744539374251731702733423<36>
19×1062+89 = 2(1)612<63> = 23 × 2029 × 2789 × 522749 × 113159773 × 78832493729778916910645169202317451129297<41>
19×1063+89 = 2(1)622<64> = 23 × 3 × 11 × 30137 × 442036559025965089<18> × 600273203952569328877188420221271638081<39>
19×1064+89 = 2(1)632<65> = 23 × 7 × 132 × 8777851 × 36920717 × 27232768113556919<17> × 252747134652921250501335565871<30>
19×1065+89 = 2(1)642<66> = 23 × 11 × 1429535551<10> × 4464138139<10> × 31709299631<11> × 11855208169319988382756863303279361<35>
19×1066+89 = 2(1)652<67> = 23 × 3 × 22014763 × 13620216781<11> × 1503087905620723<16> × 195171965223282992791603951316527<33>
19×1067+89 = 2(1)662<68> = 23 × 11 × 53 × 127 × 631 × 80433961 × 254805899501<12> × 2755944925162305571054785712319908207819<40>
19×1068+89 = 2(1)672<69> = 23 × 107 × 2647 × 3919 × 17986958772420841492992639847<29> × 1321753237493223422856213808037<31>
19×1069+89 = 2(1)682<70> = 23 × 32 × 11 × 149 × 11497 × 199725635688396830983<21> × 7790786410442567901226064285805520805689<40>
19×1070+89 = 2(1)692<71> = 23 × 7 × 13 × 727 × 204797 × 194769841491973198749578559077439570491841080264672992813441<60>
19×1071+89 = 2(1)702<72> = 23 × 11 × 5443643 × 353007366937<12> × 1248403606414487392887876470683849092638562058179289<52>
19×1072+89 = 2(1)712<73> = 23 × 3 × 77863 × 1766060142541<13> × 8886133702075921<16> × 71986388255419523982057743632051602041<38>
19×1073+89 = 2(1)722<74> = 23 × 112 × 36849779 × 16390421987<11> × 5152526136481<13> × 7007942150296723737724653484837430444393<40>
19×1074+89 = 2(1)732<75> = 23 × 23 × 14347 × 1790099704012115653988267<25> × 44674011271116412110982858479493979770699207<44>
19×1075+89 = 2(1)742<76> = 23 × 3 × 11 × 1786861 × 226397366135866235333<21> × 376260318254801087111<21> × 52535951949507437179242431<26>
19×1076+89 = 2(1)752<77> = 23 × 73 × 13 × 17 × 69341 × 322513 × 19954808747044858747<20> × 30724251295398030649<20> × 2539033943745807308237<22>
19×1077+89 = 2(1)762<78> = 23 × 11 × 383 × 1061 × 92489269 × 18096784663<11> × 3527130235810585146086296486692535892155407908791259<52>
19×1078+89 = 2(1)772<79> = 23 × 35 × 1085962505715592135345221764974851394604481024234110653863740283493369913123<76>
19×1079+89 = 2(1)782<80> = 23 × 11 × 1151 × 1613809 × 5313941011<10> × 24304362468196789241354515077792971364222647339066613977351<59>
19×1080+89 = 2(1)792<81> = 23 × 53 × 67 × 140276985971<12> × 52976590745057346029091388222522448330155245538710057273897387709<65>
19×1081+89 = 2(1)802<82> = 23 × 3 × 11 × 1871 × 9391 × 3138376212284974680668060786420069<34> × 145016204190832304778878579810567721637<39> (Eric Jeancolas / ECM for P34 x P39 / April 12, 2022 2022 年 4 月 12 日)
19×1082+89 = 2(1)812<83> = 23 × 7 × 13 × 59 × 259903001 × 129635894426053<15> × 21354260926362383<17> × 683135088387758887295572947631809078619<39>
19×1083+89 = 2(1)822<84> = 23 × 11 × 1777 × 5503 × 127249 × 1220070365179<13> × 28771210619512653721417<23> × 54921714460680979073204977976903447<35>
19×1084+89 = 2(1)832<85> = 23 × 3 × 47 × 70919 × 917312969719<12> × 341840913136725110048616063757<30> × 84158466786750081037352071105453777<35> (Eric Jeancolas / ECM for P30 x P35 / April 12, 2022 2022 年 4 月 12 日)
19×1085+89 = 2(1)842<86> = 23 × 11 × 27647 × 77681 × 272999 × 387253 × 35071957046679450837747505847<29> × 30126574351630794459185750044069873<35>
19×1086+89 = 2(1)852<87> = 23 × 120010343964409818217805443<27> × 219888453087966808145264442082830828344013137608073715755923<60>
19×1087+89 = 2(1)862<88> = 23 × 32 × 11 × 97 × 40076917 × 25796736781<11> × 4278170078897353<16> × 6212938464500197308652896779032784282260809377323<49>
19×1088+89 = 2(1)872<89> = 23 × 7 × 13 × 29 × 38089367929<11> × 26252940147853841997307616557184564098580128058176671144397823130694503919<74>
19×1089+89 = 2(1)882<90> = 23 × 11 × 61 × 227 × 173249794106297319989816559470636165949230150862273343677257882500895427883223073517<84>
19×1090+89 = 2(1)892<91> = 23 × 3 × 590153224190956050966806261<27> × 149051058872976285508114860034362923027476576027010309797265383<63>
19×1091+89 = 2(1)902<92> = 23 × 11 × 795455872236013212904921691385763<33> × 301586798554441282310825546521216440858825790392356348473<57> (Eric Jeancolas / ECM for P33 x P57 / April 12, 2022 2022 年 4 月 12 日)
19×1092+89 = 2(1)912<93> = 23 × 17 × 44893 × 55793 × 619746154495489261413317770425095361961982924655538260403478458142718231377589133<81>
19×1093+89 = 2(1)922<94> = 23 × 3 × 11 × 53 × 393403 × 524493669647867<15> × 731228949302422834627294842591133235940016539404450984716710879402461<69>
19×1094+89 = 2(1)932<95> = 23 × 7 × 13 × 2966966534242849<16> × 11441313823037813961117881<26> × 854262154054504331769579682389060569313861630869491<51>
19×1095+89 = 2(1)942<96> = 23 × 112 × 32980441390882723731667<23> × 6612706853509650716840264344397688082403440953199239440992397258550427<70>
19×1096+89 = 2(1)952<97> = 23 × 32 × 23 × 173 × 1747 × 18590413 × 208659518891<12> × 1087387937963722947328698497504647965202793160301123239820307053781999<70>
19×1097+89 = 2(1)962<98> = 23 × 11 × 953 × 8746957504118120510434411149049056588371<40> × 28779185742113773220340088587541084308310679107890673<53> (Dmitry Domanov / Msieve 1.54 snfs for P40 x P53 / April 14, 2022 2022 年 4 月 14 日)
19×1098+89 = 2(1)972<99> = 23 × 509 × 937 × 27107 × 143477 × 14226562895009321679591525919386780447032873930945618135226945206131104261323573147<83>
19×1099+89 = 2(1)982<100> = 23 × 3 × 11 × 14831 × 49876168191958323973621151<26> × 10810446926056242212904306711825072461678909363316458284044497629993<68>
19×10100+89 = 2(1)992<101> = 23 × 7 × 13 × 64877543586109643<17> × 5804773340500738939<19> × 5396492411121302836104092324113<31> × 14268833718411913586881061494579<32> (Eric Jeancolas / ECM for P31 x P32 / April 12, 2022 2022 年 4 月 12 日)
19×10101+89 = 2(1)1002<102> = 23 × 11 × 23308543 × 7769209799750304733741260692173<31> × 13247576714796343337383397705227478459962183421815864402965641<62> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2633127723 for P31 x P62 / April 12, 2022 2022 年 4 月 12 日)
19×10102+89 = 2(1)1012<103> = 23 × 3 × 1085240263<10> × 18305612345568883<17> × 53877367391135543<17> × 82183252323693728940086189115482374520244998612529977021729<59>
19×10103+89 = 2(1)1022<104> = 23 × 11 × 13597 × 17643523563947186805170183856658814370074206802896955136419724196439648377575861579685952709413767<98>
19×10104+89 = 2(1)1032<105> = 23 × 179 × 379 × 1544697896064691<16> × 1259155157137775743<19> × 199988977517053534010061134212804703520005385092503460166639458333<66>
19×10105+89 = 2(1)1042<106> = 23 × 33 × 11 × 26939533 × 29253319223<11> × 280417361970989<15> × 4020634015539048141119334964806304173617943332684488243562678267693887<70>
19×10106+89 = 2(1)1052<107> = 23 × 7 × 13 × 53 × 661 × 5912353 × 6323325149<10> × 61849062406209541<17> × 3306568776522608572536876283<28> × 108264439616961825653660770743178358393<39>
19×10107+89 = 2(1)1062<108> = 23 × 11 × 152192824939059823223069<24> × 15762831788886820029911266975066944426595325149753763921534035477388469917702408071<83>
19×10108+89 = 2(1)1072<109> = 23 × 3 × 17 × 78724621 × 8368542073591754294912383420222551601<37> × 7853993653282237042212540360760254172671012520983826034708959<61> (Dmitry Domanov / Msieve 1.54 snfs for P37 x P61 / April 14, 2022 2022 年 4 月 14 日)
19×10109+89 = 2(1)1082<110> = 23 × 11 × 127 × 36268942195011976771480182304472080857386067203<47> × 52082258540787626914363751930457273277548108897515353106279<59> (Dmitry Domanov / Msieve 1.54 snfs for P47 x P59 / April 14, 2022 2022 年 4 月 14 日)
19×10110+89 = 2(1)1092<111> = 23 × 8783 × 7415338218106921389401047<25> × 55211142895922230402876567700578993621<38> × 7338723416016867926997246042260715162118109<43> (Dmitry Domanov / YAFU/SIQS for P38 x P43 / April 14, 2022 2022 年 4 月 14 日)
19×10111+89 = 2(1)1102<112> = 23 × 3 × 11 × 1913 × 48437767919749651734080441233<29> × 86299458879636521960471431910011330314154213697529430677204645400482891330577<77>
19×10112+89 = 2(1)1112<113> = 23 × 7 × 13 × 4285327082393480834957<22> × 22255132668194975132305358600141171966017<41> × 304064381362693695785696895904928343847907810791<48> (Dmitry Domanov / YAFU/SIQS for P41 x P48 / April 14, 2022 2022 年 4 月 14 日)
19×10113+89 = 2(1)1122<114> = 23 × 11 × 67 × 14479 × 11689537 × 2874771873691<13> × 73589245717963795261819394542175104182260543881428984982786811575898771410698054586229<86>
19×10114+89 = 2(1)1132<115> = 23 × 32 × 109 × 38000441 × 1713486571<10> × 10256945580078143<17> × 402777038220593148887570604964671928059049001062243030793494081478926867602953<78>
19×10115+89 = 2(1)1142<116> = 23 × 11 × 11416017943594504839671712928843<32> × 1167429993184838040868473100427664143<37> × 18000432072020074915477755739725988446628519151<47> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3675221281 for P32 / April 12, 2022 2022 年 4 月 12 日) (Dmitry Domanov / YAFU/SIQS for P37 x P47 / April 14, 2022 2022 年 4 月 14 日)
19×10116+89 = 2(1)1152<117> = 23 × 29 × 1549 × 567793 × 12030155827<11> × 6730152608537<13> × 75844426092773983<17> × 168485224319878814813295102752599021603955760548001411314529769789<66>
19×10117+89 = 2(1)1162<118> = 23 × 3 × 112 × 47980753 × 194605149260651009<18> × 7756677416296371794813323184982607<34> × 10037310569915362583097929421479434566727118429761238677<56> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2399905643 for P34 x P56 / April 12, 2022 2022 年 4 月 12 日)
19×10118+89 = 2(1)1172<119> = 23 × 72 × 13 × 23 × 63737 × 82058909 × 157958525117791<15> × 218018531227554691862957400792278700506778087250796330079675202927237596059743189666513<87>
19×10119+89 = 2(1)1182<120> = 23 × 11 × 53 × 113 × 8123 × 46469263 × 1061186871353043545584806537684812750524244257068979270626466995425962252291628638018699457436700453459<103>
19×10120+89 = 2(1)1192<121> = 23 × 3 × 307 × 1279 × 5561597 × 89215470250944848911<20> × 451493232200010490907965089352133354692958338106109431093386393206749183031200596291013<87>
19×10121+89 = 2(1)1202<122> = 23 × 11 × 107 × 3329 × 1312915600500775480814547738576897381827<40> × 512972445828885124446188404878432866284359838213182820923493447801622578379<75> (Dmitry Domanov / Msieve 1.54 snfs for P40 x P75 / April 14, 2022 2022 年 4 月 14 日)
19×10122+89 = 2(1)1212<123> = 23 × 3697 × 3249506381310796422795686032325669<34> × 2196616592474330682790979729601312946149886945750161607304560587941188195786413119573<85> (Dmitry Domanov / Msieve 1.54 snfs for P34 x P85 / April 14, 2022 2022 年 4 月 14 日)
19×10123+89 = 2(1)1222<124> = 23 × 32 × 11 × 168533 × 1825822425643<13> × 8662483519061643099496522072557256686324435624768550774369301510365022177045297853482840777145551964469<103>
19×10124+89 = 2(1)1232<125> = 23 × 7 × 13 × 17 × 18461 × 294059 × 5311979692811509<16> × 16056336102335041207<20> × 3684157903959030495077244499706753941699617557411025016842447143026158027751<76>
19×10125+89 = 2(1)1242<126> = 23 × 11 × 167 × 69076379 × 7374719251163969623<19> × 137235343598127418201418797<27> × 1196892281924915395718684468873<31> × 171678477153835325249974519885899363661<39> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3381358774 for P31 x P39 / April 12, 2022 2022 年 4 月 12 日)
19×10126+89 = 2(1)1252<127> = 23 × 3 × 5541521441<10> × 35886770964323047<17> × 442319869628280474671929917151195931203013562711831046637604912905245404667955425419414295466736469<99>
19×10127+89 = 2(1)1262<128> = 23 × 11 × 348955889894910455484851145345137998246795884118267<51> × 687476546022010105850913710531073668665763757127410121232576625212619354097<75> (Dmitry Domanov / Msieve 1.54 snfs for P51 x P75 / April 14, 2022 2022 年 4 月 14 日)
19×10128+89 = 2(1)1272<129> = 23 × 719 × 284288222683106484527<21> × 2524135109459012195119<22> × 458754828859157692051525619<27> × 111491074085548856644863459331593829612138146313980919373<57>
19×10129+89 = 2(1)1282<130> = 23 × 3 × 11 × 1457149 × 92199406145173<14> × 98083599874693569443<20> × 112536749597411165110859<24> × 5392427490125020465978539750831711293421565128607471300645614617<64>
19×10130+89 = 2(1)1292<131> = 23 × 7 × 13 × 47 × 21918758733821601697<20> × 9449864179637687682713071<25> × 14553335826229596985012570274483<32> × 204681117951401426536451805122542659895585920078617<51> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2184786097 for P32 x P51 / April 12, 2022 2022 年 4 月 12 日)
19×10131+89 = 2(1)1302<132> = 23 × 11 × 229 × 877 × 2609 × 167626194525220243<18> × 27313501502116089543154114663173280273859802003614678927951283370411053748165952811218053327698671802169<104>
19×10132+89 = 2(1)1312<133> = 23 × 33 × 53 × 233 × 32296140119<11> × 1136680808941<13> × 5688027937361137269837641<25> × 3790309557852387914757384693819469719752014612012031394500054045449166613663037<79>
19×10133+89 = 2(1)1322<134> = 23 × 11 × 223 × 1831 × 64915703 × 1669329173<10> × 5421799638394827654383368737139821804349455768340969964810671740156101780119138268237334330918516763721483617<109>
19×10134+89 = 2(1)1332<135> = 23 × 26388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<134>
19×10135+89 = 2(1)1342<136> = 23 × 3 × 11 × 3316469477<10> × 4780028711694403054852172369131<31> × 504429706442097484427154655793879389942191954533241208751812508800663045718521909716867923759<93> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:964832312 for P31 x P93 / April 12, 2022 2022 年 4 月 12 日)
19×10136+89 = 2(1)1352<137> = 23 × 7 × 13 × 1049 × 667013 × 35141391301564985209<20> × 1179372437197801619588618209021483495594343357299353273534606173285736871806865538765720906245391790486863<106>
19×10137+89 = 2(1)1362<138> = 23 × 11 × 199 × 187796033577007714348278142475011853<36> × 64193185518593227109861667437170010562065800653319742605731755092426247662602293901113938703369617<98> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1202291223 for P36 x P98 / April 12, 2022 2022 年 4 月 12 日)
19×10138+89 = 2(1)1372<139> = 23 × 3 × 311 × 1327 × 496333 × 19986829663<11> × 21485797354554033925943056706287908284140627720753996432478683242817278357468716600646066320744073189008320615369001<116>
19×10139+89 = 2(1)1382<140> = 23 × 112 × 131 × 173 × 962317393183883618833657543127925368902853228526231779431829172495777655168412229380648068697873545984002354618456955867151901537143<132>
19×10140+89 = 2(1)1392<141> = 23 × 17 × 23 × 59 × 1143911261384927343573145298404303996223888720312492474268017204425371229307247340105288000732103207286353499886812990978754557583288781<136>
19×10141+89 = 2(1)1402<142> = 23 × 32 × 11 × 373 × 2003 × 2855701 × 12085548405936722124295509299<29> × 67346015447218948548866655572381888693768419151<47> × 1534988504529587277449266576120377920766358741376381<52> (Ignacio Santos / Yafu for P47 x P52 / April 14, 2022 2022 年 4 月 14 日)
19×10142+89 = 2(1)1412<143> = 23 × 7 × 132 × 1721 × 938747 × 4583741 × 641292873472927726276520110903<30> × 12991443184066685270447125511311849<35> × 36155389549148734748394181011483201798827649686540538733567<59> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:147507503 for P30 / April 12, 2022 2022 年 4 月 12 日) (Ignacio Santos / Yafu for P35 x P59 / April 14, 2022 2022 年 4 月 14 日)
19×10143+89 = 2(1)1422<144> = 23 × 11 × 7648935581757986212683745222367913391<37> × 313637090200010458127184714682205946702085514241289790295009557597225361608649002298516861837722519249189<105> (Ignacio Santos / GNFS, Msieve for P37 x P105 / April 16, 2022 2022 年 4 月 16 日)
19×10144+89 = 2(1)1432<145> = 23 × 3 × 293 × 7349 × 93770279 × 446857288925683<15> × 52107739270696767428179617391915587643<38> × 224771540861677790569035623500324603631949253609317729089065427290367953933<75> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3784893613 for P38 x P75 / April 12, 2022 2022 年 4 月 12 日)
19×10145+89 = 2(1)1442<146> = 23 × 11 × 53 × 2221 × 1304837 × 11657887962412537<17> × 133976260240401038866228471508066382237669959444420605984552582132693534019417280372747535021909404837789811509858967<117>
19×10146+89 = 2(1)1452<147> = 23 × 67 × 8713 × 172078165643<12> × 1998011540597399<16> × 131478526299912088885299184182089049012588712880917185191634733719856164994150029964495349881211078886786353248087<114>
19×10147+89 = 2(1)1462<148> = 23 × 3 × 11 × 12161 × 20981 × 160719484571044265919013756065620330316613<42> × 809530068287754603325280798650461528881807<42> × 240885232925326521804136843335680989427056314851291743<54> (Ignacio Santos / GNFS, Msieve for P42 x P42 x P54 / April 17, 2022 2022 年 4 月 17 日)
19×10148+89 = 2(1)1472<149> = 23 × 7 × 13 × 185340983 × 14103562099993<14> × 11093777083451472860381578238177550649508582800912282936114989120049637979678692942639688469695598388323453731903623811271141<125>
19×10149+89 = 2(1)1482<150> = 23 × 11 × 61 × 56016705823104635472763<23> × 118926869244002552961346723208495080348147<42> × 5903383980926150319615286939306511525973542387975491204686537216763170286413337319<82> (Ignacio Santos / GNFS, Msieve for P42 x P82 / April 17, 2022 2022 年 4 月 17 日)
19×10150+89 = 2(1)1492<151> = 23 × 32 × 28439221 × 18904166877330160848126123362720069<35> × 121305121892402576486322306520724070597641<42> × 449597841968478235692864858878666763295316853012651465533625156769<66> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1126988665 for P35 / April 12, 2022 2022 年 4 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P42 x P66 / April 15, 2022 2022 年 4 月 15 日)
19×10151+89 = 2(1)1502<152> = 23 × 11 × 1272 × 47287 × 11134393 × 79235296733638642016394786379759<32> × 72168915939678905674660374976687579417956313794073<50> × 4940191666003462806479179722260216778757806519625363<52> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2676008288 for P32 / April 12, 2022 2022 年 4 月 12 日) (Ignacio Santos / Yafu for P50 x P52 / April 14, 2022 2022 年 4 月 14 日)
19×10152+89 = 2(1)1512<153> = 23 × 1206809 × 57546080871595451536533006046953583193767234309757<50> × 379985314452127384798224488181429163432976996278970012269492155756258029305314862767039093224053<96> (Ignacio Santos / GNFS, Msieve for P50 x P96 / April 17, 2022 2022 年 4 月 17 日)
19×10153+89 = 2(1)1522<154> = 23 × 3 × 11 × 38981199599297<14> × 70273667990045291257<20> × 79943782604102932301<20> × 36515281153733848136193864481850916665630846145136090911612017615439299940481585667212090276664677<98>
19×10154+89 = 2(1)1532<155> = 23 × 7 × 13 × 191 × 7789 × 6141649074775316029<19> × 536834198248921825133592026779<30> × 5912068660276157060065908514437393199692984684288770062705299062510674454339002607092113837660631<97> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4100615526 for P30 x P97 / April 12, 2022 2022 年 4 月 12 日)
19×10155+89 = 2(1)1542<156> = 23 × 11 × 179271866564552335354689384532676449399375018373847792617<57> × 13381853745166808308282861490781287116901648110491410103392126449014009903419628816892783543465747<98> (Bob Backstrom / Msieve 1.54 snfs for P57 x P98 / April 17, 2022 2022 年 4 月 17 日)
19×10156+89 = 2(1)1552<157> = 23 × 3 × 17 × 761 × 16598081 × 409645692000929827323292691093404436346857789035836872665842917455460860519601904099445467974054849916763658540678369381605122218948445085648379<144>
19×10157+89 = 2(1)1562<158> = 23 × 11 × 1169616640230774661<19> × 1116023521439093229086835657376219<34> × 2058514916265396591423778761167572979355387133401373<52> × 89280685210625646484643710097452391187858116219643457<53> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:1703461627 for P34 / April 18, 2022 2022 年 4 月 18 日) (Dmitry Domanov / Msieve 1.54 gnfs for P52 x P53 / April 19, 2022 2022 年 4 月 19 日)
19×10158+89 = 2(1)1572<159> = 23 × 53 × 5082751 × 960565680329108897<18> × 761566207674282673909807032727968225814282477961220532481<57> × 133909586620085261483339596745449561543261756897433141615706459603514479659<75> (Ignacio Santos / GNFS, Msieve for P57 x P75 / April 20, 2022 2022 年 4 月 20 日)
19×10159+89 = 2(1)1582<160> = 23 × 34 × 11 × 389 × 67619 × 126199 × 3437702367833<13> × 411146877522981472028700571<27> × 63125360620914919941755231517412645390413153097304808896219220602313758465065348359080084105208966206417<104>
19×10160+89 = 2(1)1592<161> = 23 × 72 × 13 × 1993 × 185467 × 459961 × 7155672119<10> × 14256982458839405499726233903085241<35> × 238840883538355276279864675071634242021432872347431515724072725760789588867249059240249343205056073<99> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:929536742 for P35 x P99 / April 12, 2022 2022 年 4 月 12 日)
19×10161+89 = 2(1)1602<162> = 23 × 113 × 461 × 857 × 1805977900013415161597<22> × 180013596955743035694342847255287098160295452760956341<54> × 154363124399687870018815599971108773100477267485713015445190822616143416763111<78> (Ignacio Santos / GNFS, Msieve for P54 x P78 / April 23, 2022 2022 年 4 月 23 日)
19×10162+89 = 2(1)1612<163> = 23 × 3 × 23 × 287832632253353471<18> × 9925180161008711885499401<25> × 836188576601424816823936919<27> × 1600992713686522992967981388794741136846107513661269014373707716175897989235064486227489269<91>
19×10163+89 = 2(1)1622<164> = 23 × 11 × 293 × 359 × 919 × 12706979 × 9299315187319<13> × 21001850326952122272394892539488207013063399187264328154012224086734456331561255413814954233176979086449893398521832095418670006366883<134>
19×10164+89 = 2(1)1632<165> = 23 × 421 × 941 × 1472816509444011190325344018927642148251288303742941490917<58> × 45227308302971843112592957680141080238214122096934535984923968304678460580567548385962264799843139397<101> (Bob Backstrom / Msieve 1.54 snfs for P58 x P101 / April 16, 2022 2022 年 4 月 16 日)
19×10165+89 = 2(1)1642<166> = 23 × 3 × 11 × 23563 × 606420695134656689742778441156265299687704186677662294185203<60> × 559632035829115384105399056277231145216831645867354357816169705400381042201560730316294068041203497<99> (Bob Backstrom / Msieve 1.54 snfs for P60 x P99 / April 16, 2022 2022 年 4 月 16 日)
19×10166+89 = 2(1)1652<167> = 23 × 7 × 13 × 263220513737<12> × 6194967640878553<16> × 1407099018683716874145481271592365285784783416183<49> × 12638521670073559830392401334868763872415824958860717450598280526067924184969618236262333<89> (Ignacio Santos / GNFS, Msieve for P49 x P89 / April 23, 2022 2022 年 4 月 23 日)
19×10167+89 = 2(1)1662<168> = 23 × 11 × 386031399913<12> × 21922047508408912825525659881255891649341366099<47> × 283481467957705921207892576141760258329232296014496264416573184656445956374311513148251993228299993465133377<108> (Bob Backstrom / Msieve 1.54 snfs for P47 x P108 / April 17, 2022 2022 年 4 月 17 日)
19×10168+89 = 2(1)1672<169> = 23 × 32 × 386598044161728706893657238628157192214593932398620387359<57> × 75843600600459582778048545031189438155954504701339204512181782737644627151230095217361313407393457628862985519<110> (Bob Backstrom / Msieve 1.54 snfs for P57 x P110 / April 15, 2022 2022 年 4 月 15 日)
19×10169+89 = 2(1)1682<170> = 23 × 11 × 1523 × 4513 × 1071109598805902731<19> × 27953295544037027494128885875596352057861419<44> × 1165725388105575466312961314977188907020389256181185587833038269027535100837985992353336434462752209<100> (Taiyo Kodama / Msieve 1.53 for P44 x P100 / May 9, 2022 2022 年 5 月 9 日)
19×10170+89 = 2(1)1692<171> = 23 × 1709 × 163061 × 89102075566703<14> × 17887754170248332833<20> × 101645973190575122468032120524860727527<39> × 437491761675805820030065577724515247440243<42> × 1336057792261030602159795711698304018818490155099<49> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2552073715 for P39 / April 12, 2022 2022 年 4 月 12 日) (Ignacio Santos / Yafu for P42 x P49 / April 14, 2022 2022 年 4 月 14 日)
19×10171+89 = 2(1)1702<172> = 23 × 3 × 11 × 53 × 1234263014441<13> × 5275236168913<13> × 461926475923387<15> × 50165924151903175190809607841594746353869305080606284629451368282817209928550950476477772806505777111471640420731765255598207591<128>
19×10172+89 = 2(1)1712<173> = 23 × 7 × 13 × 17 × 29 × 8837 × 10151734618760618914883<23> × 655673576110600562382728566412557068166791749121494389015394255835138430938077630335197949979869348731194996476716848809650164126083880571593<141>
19×10173+89 = 2(1)1722<174> = 23 × 11 × 149550265121<12> × 16041361725764205239499382130887389280531303612505208551692366872336351917171736987641705712753792229968232621138008360147004609595324630343280967288509331280619<161>
19×10174+89 = 2(1)1732<175> = 23 × 3 × 107 × 181 × 7037428186466430689365189<25> × 17027198807077377230789736749265261679434367459051<50> × 37903587262575438255206543468595278952215584938242094640452804207929601553399660071600365933651<95> (Bob Backstrom / Msieve 1.54 snfs for P50 x P95 / May 11, 2022 2022 年 5 月 11 日)
19×10175+89 = 2(1)1742<176> = 23 × 11 × 78877 × 151871 × 29328877547870894011396750359271<32> × 64483781074922646711090780411311<32> × 10589056004889216937178630651129439745942540614372905915939527354773365106847822350260438553123533137<101> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1653007135 for P32(2932...), B1=1000000, sigma=1:309707671 for P32(6448...) x P101 / April 12, 2022 2022 年 4 月 12 日)
19×10176+89 = 2(1)1752<177> = 23 × 47 × 561465721040189125295508274231678486997635933806146572104018912529550827423167848699763593380614657210401891252955082742316784869976359338061465721040189125295508274231678487<174>
19×10177+89 = 2(1)1762<178> = 23 × 32 × 11 × 1097 × 54459302682325669<17> × 111325587381227302457179603158463009513810631759<48> × 400785693893336752379086765734335000508421365881827386602936963997343443578992858629642418317949665316273553<108> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1199690854 for P48 x P108 / April 12, 2022 2022 年 4 月 12 日)
19×10178+89 = 2(1)1772<179> = 23 × 7 × 13 × 39719 × 705758267 × 722716849 × 2106190609<10> × 6676465972349<13> × 5817995949405024684052247907913<31> × 17496030463441636770932155769305340639151680035119983731237318830537275946435111502380710585333815819<101> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3982108394 for P31 x P101 / April 12, 2022 2022 年 4 月 12 日)
19×10179+89 = 2(1)1782<180> = 23 × 11 × 67 × 1425209858731318226282733823081833493609<40> × 25123190924164862689662503136874950795970987883587486199113801246239182055893079516618150622784836086101751641568315002011383194580126833<137> (Bob Backstrom / GMP-ECM 7.0.4 B1=11820000, sigma=1:3021901679 for P40 x P137 / April 16, 2022 2022 年 4 月 16 日)
19×10180+89 = 2(1)1792<181> = 23 × 3 × 60705311583949598642152409<26> × 263315838307985083358624923561613192022255810379729130016400676311<66> × 5502957703275810094592951093994856907138609006297225225966491497280485957706358475995437<88> (Bob Backstrom / Msieve 1.54 snfs for P66 x P88 / April 16, 2022 2022 年 4 月 16 日)
19×10181+89 = 2(1)1802<182> = 23 × 11 × 173500085429283159913591<24> × 161793494968386893323806621223002718485631565088073<51> × 8546094088974972111813298837000422693770509827184272085928715992112472258797912959133007575870476336936293<106> (Bob Backstrom / Msieve 1.54 snfs for P51 x P106 / April 16, 2022 2022 年 4 月 16 日)
19×10182+89 = 2(1)1812<183> = 23 × 173 × 13677150932689<14> × 31499043032789<14> × 3803455060589907707<19> × 93090146296697917765948022074426901058934201242643403523093226396868087561302902105903547991104786930594727584835484524540680817979419<134>
19×10183+89 = 2(1)1822<184> = 23 × 3 × 112 × 97 × 487 × 4787 × 1226807 × 2426207876451189283861<22> × 127885563536898853883874181<27> × 8445484735685562551883400294506556324916139396808531643988596060181141408415575132534606530561799289662192368998079233<118>
19×10184+89 = 2(1)1832<185> = 23 × 7 × 13 × 23 × 53 × 2649477548453<13> × 54146696906772568073<20> × 204793572272775068207<21> × 39273903906575675340409454441731223<35> × 24761738080821445307464321096735778279<38> × 832611248736937462023847601911742679672506606612110531<54> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3488043477 for P35 / April 12, 2022 2022 年 4 月 12 日) (Ignacio Santos / Yafu for P38 x P54 / April 14, 2022 2022 年 4 月 14 日)
19×10185+89 = 2(1)1842<186> = 23 × 11 × 2554483820377<13> × 198584080646205867323971006197156740743306149686744874318346611472577<69> × 4729125424866290231122432256077269981458256939127167116090394014121582138311340668250524413478350582531<103> (Bob Backstrom / Msieve 1.54 snfs for P69 x P103 / April 18, 2022 2022 年 4 月 18 日)
19×10186+89 = 2(1)1852<187> = 23 × 33 × 1373761787<10> × 1106988771017431<16> × 1686468863073697614979<22> × 363748951951570728969139421<27> × 10476654334606725194909643538479130158887528126319033191549314367772076713814709608194274057656831288209809399409<113>
19×10187+89 = 2(1)1862<188> = 23 × 11 × 105501421 × 7336674226188910804950315619482270742012482268207<49> × 131947295549422224697785790749387967467701090224550111683<57> × 2348931660726300301174583781593671215558289665250943389779559659298013299<73> (Bob Backstrom / Msieve 1.54 snfs for P49 x P57 x P73 / April 18, 2022 2022 年 4 月 18 日)
19×10188+89 = 2(1)1872<189> = 23 × 17 × 336250193 × 35575374854931432694218906886141318519<38> × 129765772350549951605830359932270855178998091997124320755136655721385902633274719162564370573662192774766435185332296646264446821115387579951<141> (Bob Backstrom / GMP-ECM 7.0.4 B1=12600000, sigma=1:2939300581 for P38 x P141 / April 17, 2022 2022 年 4 月 17 日)
19×10189+89 = 2(1)1882<190> = 23 × 3 × 11 × 329995850497<12> × 93047362415804883893179<23> × 6024451309087442923626131<25> × 64605262212076688631020988110494858130911577843<47> × 669128035761616680758550386475185389864419030065633478946777811393999295985649827<81> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:500498801 for P47 x P81 / April 14, 2022 2022 年 4 月 14 日)
19×10190+89 = 2(1)1892<191> = 23 × 7 × 13 × 263 × 20162717 × 1111710958779774074429272932566749488907847<43> × 4919070222999883057404894991770549570381585353897674004267912482398299422388547819794852050569414292199018658288430956340687211688027367<136> (Bob Backstrom / Msieve 1.54 snfs for P43 x P136 / April 21, 2022 2022 年 4 月 21 日)
19×10191+89 = 2(1)1902<192> = 23 × 11 × 563 × 172999 × 310987 × 145615800217<12> × 142566153586067<15> × 4193188301143460098769<22> × 909839730941895543261820393938544576167535475055976520020204039554641637595218237927370513252751404177105373376308134168111830631<129>
19×10192+89 = 2(1)1912<193> = 23 × 3 × 27556311882287071987<20> × 3192116685959876075813555285685723355015074789169367227017455725629400534018894369474145649777956299085038746528201114080608986395570251118713573680847661284374888502858849<172>
19×10193+89 = 2(1)1922<194> = 23 × 11 × 127 × 26620051 × 9748705799959199133966743438507703312296646330057642793613231308565756076338300682302173<88> × 7278951923559321134454788665114608829021972633037116351924047133660659065347541645835091014019<94> (Bob Backstrom / Msieve 1.54 snfs for P88 x P94 / April 20, 2022 2022 年 4 月 20 日)
19×10194+89 = 2(1)1932<195> = 23 × 26388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<194>
19×10195+89 = 2(1)1942<196> = 23 × 32 × 11 × 2173915482963724799549<22> × 4004518350553683530826812658207165606801816474082923909630213531692861<70> × 306191384216801714970631866067189269013068434348397143876341251935958781523309308809649519235776747099<102> (Bob Backstrom / Msieve 1.54 snfs for P70 x P102 / April 23, 2022 2022 年 4 月 23 日)
19×10196+89 = 2(1)1952<197> = 23 × 7 × 13 × 863093452372114274827<21> × 7939220881560137498789274026491<31> × 4231983885920442131356713027253907630948949276204179955584383254443726373466533397715028164289463944858560573511992491054483317843655944765347<142> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:336917944 for P31 x P142 / April 12, 2022 2022 年 4 月 12 日)
19×10197+89 = 2(1)1962<198> = 23 × 11 × 53 × 9343728212035391747652438911<28> × 16501675414813151864739069923<29> × 24028694580661878900142366273<29> × 31536364019951296621660925351259522889<38> × 387402585479608094884102188920800530553529009694663739554918238617776563<72> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:285592697 for P38 x P72 / April 14, 2022 2022 年 4 月 14 日)
19×10198+89 = 2(1)1972<199> = 23 × 3 × 59 × 65423 × 384737 × 926954417 × 1079331289786734031<19> × 1290577523088431847293<22> × 45872898929747263451816289713912915595088585282077036558768881749800574806721732489871619572105369491975220840849030920259205227455770637<137>
19×10199+89 = 2(1)1982<200> = 23 × 11 × 193 × 24547 × 77933 × 1839647 × 29278536830069581777501838035370729957279058663058651079546210025473<68> × 12063336077921718759136457335785238344359231790305916011865040986675985679592649240893589221753429410698333013603<113> (Bob Backstrom / Msieve 1.54 snfs for P68 x P113 / September 2, 2022 2022 年 9 月 2 日)
19×10200+89 = 2(1)1992<201> = 23 × 29 × 639696398609679264788511134417<30> × 1422489930850747379168276864813407149487251429047943168215417216010235737379573425792764008731796617877128298588992098702508462774722749572688939960680346606401525491773<169> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3643807018 for P30 x P169 / April 12, 2022 2022 年 4 月 12 日)
19×10201+89 = 2(1)2002<202> = 23 × 3 × 11 × 887 × 2957 × 141112511 × 36550489597<11> × 501176537312336600941<21> × 21142968983370609946672860937436213141894211599107901594220340359318770551<74> × 55784917834676537120231881293743087641761286833999206911405713232142407865190571<80> (Jason Parker-Burlingham / CADO-NFS 3.0.0-dev, git commit 3c2f856c8 for P74 x P80 / May 21, 2024 2024 年 5 月 21 日)
19×10202+89 = 2(1)2012<203> = 23 × 72 × 13 × 227 × 1579 × 1015093 × 361102811 × 1079481273166105342637133235141175960503058055074546401933555697417389<70> × 29209348493456060114385028699313544615019444859010402095056418637460400404587755857594073957480439139262165447<110> (Bob Backstrom / Msieve 1.44 snfs for P70 x P110 / July 25, 2023 2023 年 7 月 25 日)
19×10203+89 = 2(1)2022<204> = 23 × 11 × 283861 × 129491209877<12> × 143192797910633125826293<24> × 455786258277866303565253646581873238881975054877541158792164520238555848019400069726045094327360162405185663914711775333829876042232580277188239120531351248028919<162>
19×10204+89 = 2(1)2032<205> = 23 × 32 × 17 × 117973 × 33955769950935999467496943036048494822310409028103996750210778866325140476031512672408827<89> × 430559789053615456224318939666462949032751355028712259921522697756550436175426051016248592786680422073343303<108> (Bob Backstrom / Msieve 1.44 snfs for P89 x P108 / September 20, 2023 2023 年 9 月 20 日)
19×10205+89 = 2(1)2042<206> = 23 × 112 × 8627299 × 2527905788558661807551492176161759623196711128023961012277833947365427928147816176818912521856482332724928782776404294184919700190786456919956260511482635200298483705344563270928489900583863332491<196>
19×10206+89 = 2(1)2052<207> = 23 × 23 × 2145766073060789<16> × 8027680634853163086980430489858952277<37> × 66607143277895122237951320383039298591053326762861908959869136499332171019042443043754612758844038084215666069332773272467741736439679282805348215671431<152> (Ignacio Santos / GMP-ECM B1=3000000 for P37 x P152 / September 13, 2023 2023 年 9 月 13 日)
19×10207+89 = 2(1)2062<208> = 23 × 3 × 11 × 16780991 × 12680054994513486458481219427<29> × 25634472652138033914577596064230126401420909933091148361397861083654962451050618063<83> × 1466033976052132501207712067605267390118542427691077148536314286552105434458031747682563<88> (Bob Backstrom / YAFU, GMP-ECM B1=250000, sigma=1753284070 for P83 x P88 / August 8, 2024 2024 年 8 月 8 日)
19×10208+89 = 2(1)2072<209> = 23 × 7 × 13 × 72889 × 11880097 × 2656974541496179<16> × 7713666431277736683531959<25> × 1312943521853017665296800711<28> × 1244524473523927719114300906471848671274736399645962457772029875647612541889226640644518083990188215722570433840070543738556353<127>
19×10209+89 = 2(1)2082<210> = 23 × 11 × 61 × 571 × 662483 × 220776317 × [470907116459212570107364551650652238863199376305931819692632186733667802816800670984382854184816224509270170400554128591536955435631268394600318950678476910135530568332368480054565807611539<189>] Free to factor
19×10210+89 = 2(1)2092<211> = 23 × 3 × 53 × 659 × 12379 × 39023 × 6273285363182841634599946205827<31> × [831069425702508937912186266642272573182844434499902704786321302053343977516447752140158508153121029265197940710351376328639383094182369616763367080594744408941772291<165>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2341434210 for P31 / April 12, 2022 2022 年 4 月 12 日) Free to factor
19×10211+89 = 2(1)2102<212> = 23 × 11 × 677 × 736639 × 3171101 × 17346586209639979<17> × 12821642969088248421170647<26> × 54498374500588072571770188737093849<35> × 1162138112839162175220058930874313601867427251951<49> × 10769014868567751394116905563806701864778147805225496225481370069740959<71> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4059284108 for P35 / April 12, 2022 2022 年 4 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P49 x P71 / April 15, 2022 2022 年 4 月 15 日)
19×10212+89 = 2(1)2112<213> = 23 × 67 × 907 × 127252907 × 605219096921<12> × 858928004000036255547313615161197047562105227<45> × 196483277452259887240499371571406126294950772685976349736329823<63> × 33409988262020857452588494035160745150473468213294788947046009540757961594119863<80> (Ignacio Santos / GMP-ECM B1=3000000 for P45 / September 13, 2023 2023 年 9 月 13 日) (Eric Jeancolas / cado-nfs-3.0.0 for P63 x P80 / December 12, 2023 2023 年 12 月 12 日)
19×10213+89 = 2(1)2122<214> = 23 × 33 × 11 × 983 × 113561453413<12> × 5934752548898039994243192407<28> × 8656815125398431810708794994377<31> × 22808259971589184833501812035662631<35> × 4320778156303845140015616867968443570018848563789<49> × 1572046230343727328003658323030782893083361161207107903<55> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3922156649 for P31, B1=1000000, sigma=1:3303310162 for P35 / April 12, 2022 2022 年 4 月 12 日) (Ignacio Santos / Yafu for P49 x P55 / April 14, 2022 2022 年 4 月 14 日)
19×10214+89 = 2(1)2132<215> = 23 × 7 × 13 × 174879819553471<15> × [165821185502266453157032732882133958967507935235645539844656440406180624254589277176500376815028262023695779148089422587444455040883299535244133011869559726422988164550429437241743988419576942519749<198>] Free to factor
19×10215+89 = 2(1)2142<216> = 23 × 11 × 1451 × 3373 × 508009 × 2664432090467313881557<22> × 362133417921308025953110489989963646991609470244974251369825175266756246523020784553278945472155279696379452254112253419510091604280410961217815322098650470681777572712945302605001<180>
19×10216+89 = 2(1)2152<217> = 23 × 3 × 22549 × 12714993509<11> × 4065585674827<13> × 75080518152083<14> × 188476156206183250893562678361060153655793<42> × 7178165506267619306043554843397145648699817268125038258645888303<64> × 742909920906597272539160456463496783557373775419708921921778388850037<69> (Ignacio Santos / GMP-ECM B1=3000000 for P42 / September 13, 2023 2023 年 9 月 13 日) (Bob Backstrom / for P64 x P69 / September 22, 2023 2023 年 9 月 22 日)
19×10217+89 = 2(1)2162<218> = 23 × 11 × 149 × 1201 × 12713 × 2002327 × [52664272953747262588442323411837981535755167570940273513855488187314186570876269642271888997947684085589498989819062318779748392410121143291204617269123243908286214188598823121780883785866444655018401<200>] Free to factor
19×10218+89 = 2(1)2172<219> = 23 × 51061 × 2266401479<10> × 4134141574879306515818255607642777384887<40> × [55158138189715349430689518302548160553287540617662188582547572571341186377542544583874233555970295907429837101624721234243493218084720860264392143599835516145492213<164>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P40 / August 8, 2023 2023 年 8 月 8 日) Free to factor
19×10219+89 = 2(1)2182<220> = 23 × 3 × 11 × 1369339 × 2085607 × 2162355712067<13> × 276345835906960969<18> × 1287974794277675972557<22> × 898501233964706836957411521003533317<36> × 8538197831007030503750971616007913906141037884941062519<55> × 474232587375128867263067453932168220356751643790839862789838657<63> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2562175229 for P36 / April 12, 2022 2022 年 4 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P55 x P63 / April 15, 2022 2022 年 4 月 15 日)
19×10220+89 = 2(1)2192<221> = 23 × 7 × 132 × 17 × 25155783241572109349<20> × 1008231232819440669810997<25> × 170473280811829042567097993<27> × 35437612468868990361923208284322556569734340236069739850775623<62> × 856384254715887753182052681266997957690539218664996707679345374212601341238837665697<84> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P62 x P84 / August 20, 2023 2023 年 8 月 20 日)
19×10221+89 = 2(1)2202<222> = 23 × 11 × 3926959 × 26726087 × 34142767 × 3311028678339828940583<22> × 4893246977139006258190628633279<31> × 11646651602425140152086919614562907812163088047268969947239608487137<68> × 3547944333167833659798544229497341315213456304933902822585439377169269542576101<79> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1670228895 for P31 / April 12, 2022 2022 年 4 月 12 日) (ebina / Msieve 1.53 gnfs for P68 x P79 / July 4, 2022 2022 年 7 月 4 日)
19×10222+89 = 2(1)2212<223> = 23 × 32 × 47 × 109 × 1229 × 7451 × 1471600266559410154439<22> × [424715328108340185322129560927979442467423401238442955712074397292086533524013166039837364498772928197431187979591152426563584519528942978782462463588108693779374320420375152741800525498867<189>] Free to factor
19×10223+89 = 2(1)2222<224> = 23 × 11 × 53 × 222225077527<12> × 490500480983411<15> × 4034268291582322889<19> × 10559473385076387448468951<26> × 539822145266756492408495064060814003031076122629078575127820101589<66> × 1805769495680802613924079171125123339620280720757092076320622108941021483592395358809<85> (Bob Backstrom / for P66 x P85 / March 28, 2024 2024 年 3 月 28 日)
19×10224+89 = 2(1)2232<225> = 23 × 593 × 145052107 × 14386836459944118066508603<26> × 17056689352739753060996467<26> × 1250208141494822585797345147849647821700713459703408723928928890136698535486268958299669598842368601581043997533954902680901525730090568300184948168777317826966939<163>
19×10225+89 = 2(1)2242<226> = 23 × 3 × 11 × 173 × 13832578948877947<17> × [3341626481229326980234067440311308781160966494637020602504192765175975400788638391322168426109199184517891488780723916428209309667507106995769272213102342066268176470206344096226706705726612226344752671943<205>] Free to factor
19×10226+89 = 2(1)2252<227> = 23 × 7 × 13 × 812492521 × 29824095687361773556343861<26> × [1196721397015788692456607183585890128508480766351009949674641621713585485251511101616207916365628461758330000480016108028399704087441885794211849466837270939427506240033169658125690946897559<190>] Free to factor
19×10227+89 = 2(1)2262<228> = 23 × 112 × 107 × 11325716141<11> × 3935751736381380998105519<25> × 45725513169736554249131685917565535581470169763226236159989331685784729783859472322267313580667954391839534642851015002400793730447475022569349213571177950620834936072260006171932546549953<188>
19×10228+89 = 2(1)2272<229> = 23 × 3 × 23 × 29 × 41851 × 301619 × 122897511623385866603<21> × 225584802916318287130025140211<30> × 28020488402387332576448796289309<32> × 13448716885125130939739648986518140258979020648127281275055167961502253829302620115425498371735927730252433623595192515682001683224173<134> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:387738853 for P30, B1=1000000, sigma=1:2723427307 for P32 x P134 / April 12, 2022 2022 年 4 月 12 日)
19×10229+89 = 2(1)2282<230> = 23 × 11 × 25707711613559<14> × 28162875560395661<17> × 596919347136696457<18> × 9477017148756734310951897457<28> × [58573433416945684581377138467999770347684871107459616654030725905238978716624626980387548107673741306301104318733074404838698209043975938065429121655049<152>] Free to factor
19×10230+89 = 2(1)2292<231> = 23 × 502819 × 961159 × 1860875421884513<16> × 1394037858989587074581<22> × 316761973338048591896321<24> × 1849941965534392412248764337308041399<37> × 97760001332687554089390482477406194940796152581941<50> × 367426077427481333773742398428392041404347985213098470606389609401388427<72> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3111054038 for P37 / April 12, 2022 2022 年 4 月 12 日) (Eric Jeancolas / cado-nfs-3.0.0 for P50 x P72 / April 16, 2022 2022 年 4 月 16 日)
19×10231+89 = 2(1)2302<232> = 23 × 32 × 11 × 113 × 391662343 × 1754851793<10> × [34320626346093313678122325916105742669595824038088624450267768703031872264436322578051871405751777980165373377673649972689717878371316264263699302227642339297328404423919962907722211522972498855046533368681653<209>] Free to factor
19×10232+89 = 2(1)2312<233> = 23 × 7 × 13 × 1183435667<10> × 241545998755297<15> × 23394104069619981787<20> × 4336394578554299062107739097722997816246217187155811383300072402358590863833252976258899323806285085747338360051679954019538858654689395642736753249066641676960868537839140478847958509083<187>
19×10233+89 = 2(1)2322<234> = 23 × 11 × 9851 × 138974180073317419667<21> × 1752322267859205170983720599336629029943477808952842349724676057836565219607162037187161163708680251111816865726980524940740950364037430899766610977819408921155813581910273571550434949152923793958347714288747<208>
19×10234+89 = 2(1)2332<235> = 23 × 3 × 164623 × 15798379 × 844671704529776526349285053403859<33> × 40041364044530809147180046235733082665616395237137811085163066352163349824963014810492400982325458858245843795429577969174006740054579771735209469753998594856857002698711457553162334495821<188> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:122938223 for P33 x P188 / April 12, 2022 2022 年 4 月 12 日)
19×10235+89 = 2(1)2342<236> = 23 × 11 × 127 × 3519379 × 852236562845562603791419133603<30> × 192802243698790873434247961951669039647<39> × [3266528216740149758027912478836591004646450203910427230967206939668883679242942411961784841029128610696752878971715863195081677741749182466383503207816662883<157>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3182826487 for P30 / April 12, 2022 2022 年 4 月 12 日) (Dmitry Domanov / GMP-ECM B1=3000000, sigma=1:2994353543 for P39 / June 4, 2022 2022 年 6 月 4 日) Free to factor
19×10236+89 = 2(1)2352<237> = 23 × 172 × 53 × 199 × 1543 × 2281 × [2459818731950753605876809690064752510504602545185428746900281021584028552887406261913439752031591764928097590326569517661876537754296572718029710887476109868088385552562824419580356122499966489942520826665006041754785265501<223>] Free to factor
19×10237+89 = 2(1)2362<238> = 23 × 3 × 11 × 17293 × 18439 × 33203 × 183091 × 104044948069<12> × 4543841974368464316649<22> × [8725913829110350034598864339820056033524494074067153966495758188976380721160109529766821766811513152086759066988074420909837091006650714808492444240935517587044931212399814091954504783<184>] Free to factor
19×10238+89 = 2(1)2372<239> = 23 × 7 × 13 × 8369 × 3465023180640339201696592065811805326681655992206834601385921734828414240530383438735691095590725176099772825785491575908591083641866292123192589198085673172302399211229417944676637471475564437686555024349264999282922571248536118891<232>
19×10239+89 = 2(1)2382<240> = 23 × 11 × 2411 × 12998315028593<14> × 447157633820083793<18> × 171192013998508276198611826172498138580570645021984396969287591168798736217645280052562762178026180810313072392002642684091670665228818906938264572010940010074516191041654657388566537611708365018356547041<204>
19×10240+89 = 2(1)2392<241> = 23 × 34 × 647 × 127703374397<12> × 26829787305632713<17> × 4804482510971264717686907008847308679<37> × [305890215374146688235643324437193376195178198330998509278890085127252078534549931403873404126202242542879301732496452993137609176016943177241468752620141066920727250488133<171>] (Ignacio Santos / GMP-ECM B1=3000000 for P37 / September 13, 2023 2023 年 9 月 13 日) Free to factor
19×10241+89 = 2(1)2402<242> = 23 × 11 × 1787089 × 8732291 × 44641701841356764649391<23> × 946281588912549474635105131<27> × [363909090799590574141902934649564083406816769525873384398572437641729987601710680509747074888937877013597929310003903764948133107411949383458489304525882854695490066122538916181<177>] Free to factor
19×10242+89 = 2(1)2412<243> = 23 × 4241 × 34511 × 1038361942228649461<19> × [173638700222417493715961781735019917221677105695670889451560978716982801166108378045024241237754369369763536063998336043871587120457613210654498527743782660679082926492014260492958681280842533952831872832304045343499<216>] Free to factor
19×10243+89 = 2(1)2422<244> = 23 × 3 × 11 × 1283 × [6232761493868274850348116131436474382694180044141072979732371782254868770846946996596256144190672639620418264221849568692904624315380355910363704595972717562740945437749802519872667963081057391267835539074822005453338267056115848009846451<238>] Free to factor
19×10244+89 = 2(1)2432<245> = 23 × 72 × 13 × 108457 × 38196545304694814902283563332906127087889708757228340367938813142244653613873014846936045462387040813777413799278949259389170400644335673227966289469268266658674180285773557102945049978699917648730805755512057812245246633331970641424421<236>
19×10245+89 = 2(1)2442<246> = 23 × 11 × 67 × 257 × 64028231 × 39273396807009857<17> × [55405199708261512398697544672025784430261413539572037707517748021031024069768901040906707177063797527320298276713703511208076131916559634453664378282568660447581047754752056417989995007840049484475855573717508226463<215>] Free to factor
19×10246+89 = 2(1)2452<247> = 23 × 3 × 313 × 1847 × 46849148459087931909306985254692401447<38> × 3247782335332475239827178642989007701743396976975932797453614939444264954703332414849297769495587302047384411729985664423516208134685081789562845451119409493363735368580540053850643774822688072639929739<202> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P38 x P202 / August 8, 2023 2023 年 8 月 8 日)
19×10247+89 = 2(1)2462<248> = 23 × 11 × 1051 × 1363993 × 29793599505106050157<20> × 5616821032341178998029684644551327605416311812800077685482722139365754664843743830842457878605928269166732100815824624081512906366387192294035748417435281336619053324359421088470264356604420489455582370703343592500349<217>
19×10248+89 = 2(1)2472<249> = 23 × 842735687 × 139855263064865755677575932976670193996429387<45> × 223898356049480073493221359652017032118404206011149331434099512625166227952609010724460744711795548210425397715906897620426228319801311653150226742995236007733186582518854557390759315565865719581<195> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P45 x P195 / August 8, 2023 2023 年 8 月 8 日)
19×10249+89 = 2(1)2482<250> = 23 × 32 × 112 × 53 × 191 × 1667 × 3539 × 354667 × 11440553702317083230281523413267255936610674972417474150497681990747063290762593596869366717359560757026170906033336658864373438953059949255939154745103984660251769370167761724385778565298173322024077977558306015850270017316301097<230>
19×10250+89 = 2(1)2492<251> = 23 × 7 × 13 × 23 × 47033984623<11> × 890120785583349751557130099<27> × [30115575081284772790443591248398750967308858597545679132122662945273566715763254618690263880064078067420306008695654970178756519626241169664997746430557317376337761297426599704049275184104695003169974485770849<209>] Free to factor
19×10251+89 = 2(1)2502<252> = 23 × 11 × 8219 × 21985093322505503<17> × [13276424358829670893664047138659106803063214830727348546798972355100628427120087403828451957071966982893238728863576338273637892453149899804811818195973336851714027740970468240125861372929535682933555821941620159771759694802339407<230>] Free to factor
19×10252+89 = 2(1)2512<253> = 23 × 3 × 17 × 32616115697807297<17> × 3727903258091898973<19> × 498658505810272951795349<24> × [85339643539643334348019337662664889863811688416496100950207542539632223062010337292403837035041684673965386784532254478768226634231433989163359107253823502864430595743417219815377804613566531<191>] Free to factor
19×10253+89 = 2(1)2522<254> = 23 × 11 × 4949977 × 7413046912432087<16> × [6537752717026922780783709917245841633579285578039331244465871065384323662589295298190825031589997248304548800146873627697231642346090584341163366927625334855074147397610302413276994066987299319682402604503979396405442838880922101<229>] Free to factor
19×10254+89 = 2(1)2532<255> = 23 × 1697 × 4528639733<10> × 801904560451<12> × [4282021132305405329468313749206706284184276792712995017153341099548798634274371717665174554040992430666114845594883736864493240559172479773475493760317615195986735465176565578584642982025027341006601988526431289627968650678567239<229>] Free to factor
19×10255+89 = 2(1)2542<256> = 23 × 3 × 11 × 40311643 × 25436144509887107<17> × [7798756879183935523254208501940265399823296839720077249247421189416106769881428299780095941422122083432487487364815900390514863900246443366504236544339231128319853316914625079964627549134454931939498300277012857290558998092372233<229>] Free to factor
19×10256+89 = 2(1)2552<257> = 23 × 7 × 13 × 29 × 59 × 797 × 150833 × [140985682877821886690391146102351867157179694683242030373532396065211253204081729220232440463404438270518651361834567282416667581210565648748060381273787259226738383939869457472311484691133264737748753186870091166839804193171851792151173284489<243>] Free to factor
19×10257+89 = 2(1)2562<258> = 23 × 11 × 523 × 619 × 80308411046382355289<20> × 121164693971201600576211128200345187<36> × [761550940039107046008444638258772687405323528942630362097793587243957410898614178559626077032238746437509111234412493049238476185744181719577703449385835408047560537261649353539796959381585980489<195>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1736520119 for P36 / April 12, 2022 2022 年 4 月 12 日) Free to factor
19×10258+89 = 2(1)2572<259> = 23 × 32 × 83437 × 6550374793<10> × [53648028254897888623114423023954542995243263154705950481977363696058740738349957267832636720017651172411752378814107889586258961262686358535954199351709789491912076055955921633746341762233747610544952375122027486904161908632045928663323817581<242>] Free to factor
19×10259+89 = 2(1)2582<260> = 23 × 11 × 239898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989898989899<258>
19×10260+89 = 2(1)2592<261> = 23 × 24977 × 56503 × 300857 × 12356287 × 290024682636019<15> × 33679077517510504342589<23> × [514951192395279649179646067960487800165300105164392359025873761542837863535917541398857464488665681743019789690711585512423386587890073677331837547734126925209686056891372301016124293980883137799603951<201>] Free to factor
19×10261+89 = 2(1)2602<262> = 23 × 3 × 11 × 3167231 × 16624269364349<14> × 833860863800621<15> × 30728275581230125653955027710337378019<38> × 5927247711063859198659137248729642648825652141169998165586965493955327300812479540178837859323795316611938320129646608433214335123191987307993544569662586847999643304676616688820024340693<187> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P38 x P187 / August 7, 2023 2023 年 8 月 7 日)
19×10262+89 = 2(1)2612<263> = 23 × 7 × 13 × 53 × 269059663643637947<18> × 1181532271440720404057<22> × 1811488574819736718207663<25> × [950110374516090653183940596087233714478175902799267896727170870920654621624535234047971065978311673140987945853997296622450345623126939167469045073483970228222889376016967947353448453874952734059<195>] Free to factor
19×10263+89 = 2(1)2622<264> = 23 × 11 × 433 × [5540392376420090045956096764410852170667413161639489584062332330230713602538082907597919145263256117759581962815219166258427228404133715912006905078498611985909907387967434156810600228614085427018452422609466489374110621223785196071570205519397205309445494203<259>] Free to factor
19×10264+89 = 2(1)2632<265> = 23 × 3 × 26729683 × 79025126069<11> × 222576899512612667654766353<27> × 13015610448410021748840692081120909483<38> × [14374614742426183115180333711267738646367821470249332916495034808543424219833172882944514811046804873480780769479181630644065415099394607092963854097205540585447289901804441687057831<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3090958489 for P38 / April 12, 2022 2022 年 4 月 12 日) Free to factor
19×10265+89 = 2(1)2642<266> = 23 × 11 × 79500865090493547563<20> × 2011701012937294660459360780973<31> × 2042266022851732219825410754159647463<37> × [734481427141756107015018783194733162930586926187524560483438009757786208288110817133212596135741461594646299181605734981954983262990277104998831048703392553445735357067547019827<177>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:960729283 for P31 / April 12, 2022 2022 年 4 月 12 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P37 / August 7, 2023 2023 年 8 月 7 日) Free to factor
19×10266+89 = 2(1)2652<267> = 23 × 898066055000743<15> × 2707847590175769599<19> × 596733630215741185979411<24> × 18184781721948001458242863858257384457606408736683795872605855426655214837255794010478447747412357318449987424740120129719602472436065211932877613753769678825121991000868595205672940365715460856574812271403707<209>
19×10267+89 = 2(1)2662<268> = 23 × 33 × 11 × 901529 × 365494125323<12> × 1028533261610754311<19> × [2621719425969469864838647254172868148923217283336550589023838384178800911330063292715855287933654618973864594094447339205645648777987510069262507156681324152848140231124092652813773914157729001568671892198820878343224017592982301<229>] Free to factor
19×10268+89 = 2(1)2672<269> = 23 × 7 × 13 × 17 × 47 × 173 × 2651359315405339859<19> × 79125823311886244668363918731379736435569666570033712713127923186017119228306806002249964797602494902634349091678324040848311650588036327013657859111299058258750843232788460894129988613950323151842172121260692048130789566122939747107637581603<242>
19×10269+89 = 2(1)2682<270> = 23 × 11 × 61 × 131 × 300211475283431233875483656487285570003627818669740832173569002501551619309096470903503815529844812788124013252282555248391814528718545737692277549617056562370040032410198847440744575020635588774745325865335876598547102864459891114877975095720058803527706043035789<264>
19×10270+89 = 2(1)2692<271> = 23 × 3 × 10903 × 146104403 × 98251005647<11> × 562022276056568378232586209285939030705967588864724168715687108883062390713611035597780661599934931635991331471679125754626059582621099111640074099316692526159754162196906080826167652508994263619232433874035105916605741080466882515446423672415081<246>
19×10271+89 = 2(1)2702<272> = 23 × 112 × 21808999081726354453627180899908172635445362718089990817263544536271808999081726354453627180899908172635445362718089990817263544536271808999081726354453627180899908172635445362718089990817263544536271808999081726354453627180899908172635445362718089990817263544536271809<269>
19×10272+89 = 2(1)2712<273> = 23 × 23 × 4254773703084263<16> × 260091336681718103<18> × 343401992673900955244707389860351059<36> × [3019173733721734394129787886985895991901216291721378388595580494464357705615451454211264895511734991239858307910239026269113889156110882327506227157099533440060352251442894868013938355397603462313351093<202>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P36 / August 7, 2023 2023 年 8 月 7 日) Free to factor
19×10273+89 = 2(1)2722<274> = 23 × 3 × 11 × 307 × 843613 × [30876319454710357518343817663930988660436539209209687183418527287623353489669895129457339526562067976933433615755157120178797859547092050775959344946689287249044432115442982456347504466443144466969793332544896180615634251056433598406942769410776811131986572493663<263>] Free to factor
19×10274+89 = 2(1)2732<275> = 23 × 7 × 13 × 269 × 479 × 10337 × 752052701 × 37805111027<11> × 765770460175529482140917766153623870024725139181700031403219252983500294533531465465806736615964016220098363522360561162887766665757294083862131573124689307471983473984908636815876307985243939017088640928536250909386070560165787554032892194271<243>
19×10275+89 = 2(1)2742<276> = 23 × 11 × 53 × 541 × 8938271 × 224414369 × [41711048396945318364254457919057150116623436691035580365557469070470484536176866916521589137724367544396461135419086082089349149480432185850440284337288439719986721033021403441915414488381425475963864141200740432486071622120241575085846080818135605552437<254>] Free to factor
19×10276+89 = 2(1)2752<277> = 23 × 32 × 823 × 13883 × [2566229163925055999091258814163828927755904482979654711521270816044850053009488308718608854323262359851890823958582146133862472282550488054700820257280108772329809407975264757835829209459794076760370347344541535320710016418907073599341128063707409403447464046883595669<268>] Free to factor
19×10277+89 = 2(1)2762<278> = 23 × 11 × 127 × 691 × 15013 × 19709 × 26921 × 166609 × 10513688212410631<17> × [195915969425122217973732211969361373184982002869884177757632395512548699006604002657636924747912724667527407500200388979886725011390389241682762223428530502615471833537847974936206084796952238166230795092066520873268397404953657583936969<237>] Free to factor
19×10278+89 = 2(1)2772<279> = 23 × 67 × 1307 × 276953 × 66021836081971327<17> × 11473262036218412797<20> × 84426006470321274868847478799<29> × [17014292050412851344155112743069138773488718006269482631511359154951982941308650563717740613066123311819532147992746827694731643750472216107663934305877019080128104079093309743774663922065688563971534517<203>] Free to factor
19×10279+89 = 2(1)2782<280> = 23 × 3 × 11 × 97 × 115679 × 280624667874043<15> × 2598161104841519778112901<25> × [977437469382250263629121752773053995785257292879430812874228840917851553017386214215173270289981445399324470386242249092844656192445942166859746493993058661914517430315729102685809380280984517724000643848665725219728488296238107137<231>] Free to factor
19×10280+89 = 2(1)2792<281> = 23 × 7 × 13 × 107 × 992777955727<12> × [272988158725130717983915281679055241789076787415285490573207302037868281675219364170719422976819971763395937387357391770089718823900094315403681565523865237698753345661696191713265888875355137081392125022780584467851254717769008073653905179666322038237309549182911<264>] Free to factor
19×10281+89 = 2(1)2802<282> = 23 × 11 × 149729 × 38196722378957<14> × 54904968670597439<17> × 665905232409437117<18> × 34399217461693553603951<23> × 2065560912112776625967702923<28> × 20900163002328892801944404789<29> × 460933155272026262718433861265152184583470112787411<51> × 16760930700213289662407627244449497543702498602204183085360134547955585967579703460041200971419223<98> (ebina / Msieve 1.53 gnfs for P51 x P98 / June 9, 2022 2022 年 6 月 9 日)
19×10282+89 = 2(1)2812<283> = 23 × 3 × 179 × 2803 × 4848973685947<13> × 4482110282183197567<19> × 3321215514473050826068362943<28> × 97058958244238175245518536298364287096997<41> × 25024111818286333523848333224642979471093194177064907766584942994173447707380229959117710030796278544664388284386534251334425118695819979864240451036853127858467910142706909581<176> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P41 x P176 / August 7, 2023 2023 年 8 月 7 日)
19×10283+89 = 2(1)2822<284> = 23 × 11 × 47219455807501<14> × 502901985337111<15> × 555388666319663275432782507944646717628103<42> × 18189764595946008075792301072765289398494474698042883369810115590661425954900951816907660844618903864718489426448188883629267808664494924591747498759401864620566507368514014085610859537888940783499865608471191703<212> (Dmitry Domanov / for P42 x P212 / June 5, 2022 2022 年 6 月 5 日)
19×10284+89 = 2(1)2832<285> = 23 × 17 × 29 × [53527157989632634663060626549470362857786792878070768537299977462249267523101194500788821275636691458192472391255352715798963263466306062654947036285778679287807076853729997746224926752310119450078882127563669145819247239125535271579896326346630606265494703628577867928780707685373<281>] Free to factor
19×10285+89 = 2(1)2842<286> = 23 × 32 × 11 × 344249 × 2434931 × 5690501231977789<16> × 216361281508101823637763176135926889<36> × 2582834012644034039623939602127004879680382950119043421212179904481281020994583820183832659357812507514107511942377021372312578180705822128715722401336346223220960920709675298667218812883535739258352700122534178710671989<220> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3030772877 for P36 x P220 / April 12, 2022 2022 年 4 月 12 日)
19×10286+89 = 2(1)2852<287> = 23 × 72 × 13 × 1196352802663<13> × [3462760069512902443780889066008364959559569932360737887192552952084585655333923213202581350547795891839828943819024390159415603113194505016286644707645682394473748341434525709701995365082476767065502224034698486548684171117532881747740603192274552515133503540856502660619<271>] Free to factor
19×10287+89 = 2(1)2862<288> = 23 × 11 × 21859 × 27404078344111176706589<23> × 67067979393048370855519<23> × 133624369035340764302544396303790025237<39> × [446870863542083834827008303126741803854192532961861688731185321465545981191579569086639490641578828213797664833642067643671591411723573591577126249209563925984979960335943682594426442882267801515783<198>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P39 / August 7, 2023 2023 年 8 月 7 日) Free to factor
19×10288+89 = 2(1)2872<289> = 23 × 3 × 53 × 683 × 4159 × 98977215247<11> × 901281571873<12> × 128819160791469913958189<24> × 50843819542043101800268809054158053655703198122831206012413260032495118020584925183714262169634662347057491996645845758327761413596836752357505916991511804268434393093357855000404067892191520972763168071043969931146862474112337783577<233>
19×10289+89 = 2(1)2882<290> = 23 × 11 × 1061 × 226106493778501318557868981997162958520168699245042317615361913194146935899999047972657774731290282656917906682279915079161073506031093212997077276059368425061167756737973514599339293024495663515456163901027237502261064937785013185578689819971629585201686992450423176153619131941469359<285>
19×10290+89 = 2(1)2892<291> = 23 × 26388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<290>
19×10291+89 = 2(1)2902<292> = 23 × 3 × 11 × 167 × 701627 × 879001 × 386682025453<12> × 5809133408483575752352196873<28> × [34564453616022958599309516940608983540516480774418742243550272741012176264117027076449224779922690830287258606549667323856212691342906332471480134943108587706046342078669385612106053570467461006248084064464921985092361413583668402220673<236>] Free to factor
19×10292+89 = 2(1)2912<293> = 23 × 7 × 13 × 2063 × 20897 × 2237309 × 2119733308403461262018327<25> × [141836938203359365512567159447160349080011961994980183323857779256271900355774007156070019929824775171842245439728410184203926762417015270985408325545939532464657105295370595392364361135944212989012784749706364877768056044777931064436793925639734943823<252>] Free to factor
19×10293+89 = 2(1)2922<294> = 23 × 112 × 311 × 7759 × 13365983 × 31792801 × 22151026477658815309961<23> × 9601653758608669919886616826543226109674680112497468782623372100291713737581311070582939299484124409396458437553491725563233569891650598033442974988832495494552708627398247486954846791709413479679792066621553019330014213355499946208612463995308607<247>
19×10294+89 = 2(1)2932<295> = 23 × 33 × 23 × 1871927 × 1766559101<10> × 276298767160848771930466099038443<33> × 342334738615347543122918722712844701<36> × [1358571518317631632339610355152465124699903594027007847589933739292826774002897809334626664926893176723376514736393365874869103240142683512316318768440779319096308131268266695428751501948590840933773952636569<208>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1579804810 for P33 / April 12, 2022 2022 年 4 月 12 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000 for P36 / August 5, 2023 2023 年 8 月 5 日) Free to factor
19×10295+89 = 2(1)2942<296> = 23 × 11 × 709 × [338362468122693792651479534413243863173341311564160647376444273482355287714949210012679688279124104229887022552748927925232579675456967417475174879970366571212833554159365160775598011141029476713538772777136669943440042170648658659942157826501973187445683919590830733284894074738926643016911<291>] Free to factor
19×10296+89 = 2(1)2952<297> = 23 × 6689 × 548796864383<12> × [7188665691776039075671163661783059696876782152571322402455416754395744979481328031197178189127397770381354408819684621038849954223374341769634287917097175894014486848039239947417844791035924764964681809264923395115496859147056316621399031294413388558399555362357593040425374028647<280>] Free to factor
19×10297+89 = 2(1)2962<298> = 23 × 3 × 11 × [7996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996632996633<295>] Free to factor
19×10298+89 = 2(1)2972<299> = 23 × 7 × 132 × 367 × 6078134353129113137497124082745545751204942150236637765457719345793124875078343952793753674072265562519178113393162649083839609934768182514986120100351917581010014462120938750576143156315028040033280024896038310416847411188220242925755396935443047369268287314818440368639488320896830643215049<292>
19×10299+89 = 2(1)2982<300> = 23 × 11 × 337 × 6971 × 85451429595607<14> × 61035607733907534874253<23> × 195794654047997322855430882308166979059472783665467849598983642904487316102246759458537511565754949087954392311271252764572448978271016775285547577199583653943592026568194166018079895889115188670938043358770510295706036313138838363458088241860994946667747<255>
19×10300+89 = 2(1)2992<301> = 23 × 3 × 17 × 13037 × 3942472439835344551<19> × 73769197557904164187<20> × [1364675948645045697069984572876337567006853167767059837789241763624925347459002185316682800352607579365392529240027425480513124323287462898498696949733999884097129895182867414741052748628637671756520951858539747330341080035027206093768249107512897713181531<256>] Free to factor
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