Table of contents 目次

  1. About 811...112 811...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 811...112 811...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 811...112 811...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 811...112 811...112 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

81w2 = { 82, 812, 8112, 81112, 811112, 8111112, 81111112, 811111112, 8111111112, 81111111112, … }

1.3. General term 一般項

73×10n+89 (1≤n)

2. Prime numbers of the form 811...112 811...112 の形の素数

2.1. Last updated 最終更新日

December 21, 2022 2022 年 12 月 21 日

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

No prime number of the form 811...112 exists. 811...112 の形の素数は存在しません。

3. Factor table of 811...112 811...112 の素因数分解表

3.1. Last updated 最終更新日

May 18, 2024 2024 年 5 月 18 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=206, 207, 210, 211, 212, 213, 214, 217, 219, 224, 226, 228, 231, 232, 233, 234, 235, 237, 239, 241, 242, 244, 246, 247, 248, 250, 254, 255, 257, 258, 259, 260, 261, 262, 263, 265, 268, 269, 270, 271, 274, 275, 277, 278, 279, 281, 282, 284, 286, 288, 289, 290, 292, 293, 294, 295, 296, 297, 300 (59/300)

3.4. Factor table 素因数分解表

73×101+89 = 82 = 2 × 41
73×102+89 = 812 = 22 × 7 × 29
73×103+89 = 8112 = 24 × 3 × 132
73×104+89 = 81112 = 23 × 10139
73×105+89 = 811112 = 23 × 53 × 1913
73×106+89 = 8111112 = 23 × 3 × 41 × 8243
73×107+89 = 81111112 = 23 × 10138889
73×108+89 = 811111112 = 23 × 72 × 67 × 89 × 347
73×109+89 = 8111111112<10> = 23 × 32 × 13 × 8665717
73×1010+89 = 81111111112<11> = 23 × 19 × 533625731
73×1011+89 = 811111111112<12> = 23 × 31 × 41 × 191 × 417649
73×1012+89 = 8111111111112<13> = 23 × 3 × 1453 × 8387 × 27733
73×1013+89 = 81111111111112<14> = 23 × 10138888888889<14>
73×1014+89 = 811111111111112<15> = 23 × 7 × 898181 × 16126067
73×1015+89 = 8111111111111112<16> = 23 × 3 × 13 × 17 × 691 × 2213088533<10>
73×1016+89 = 81111111111111112<17> = 23 × 41 × 1079093 × 229164653
73×1017+89 = 811111111111111112<18> = 23 × 331 × 2177677 × 140659447
73×1018+89 = 8111111111111111112<19> = 23 × 33 × 53 × 708517742060719<15>
73×1019+89 = 81111111111111111112<20> = 23 × 23 × 440821256038647343<18>
73×1020+89 = 811111111111111111112<21> = 23 × 7 × 11117 × 2644409 × 492692659
73×1021+89 = 8111111111111111111112<22> = 23 × 3 × 13 × 41 × 127636001 × 4967852711<10>
73×1022+89 = 81111111111111111111112<23> = 23 × 2293 × 4421669816349275573<19>
73×1023+89 = 811111111111111111111112<24> = 23 × 199 × 217223 × 2345478627789257<16>
73×1024+89 = 8111111111111111111111112<25> = 23 × 3 × 151 × 1777 × 3607 × 340849 × 1024463683<10>
73×1025+89 = 81111111111111111111111112<26> = 23 × 193 × 1759 × 29865322939873659047<20>
73×1026+89 = 811111111111111111111111112<27> = 23 × 7 × 31 × 41 × 103 × 9161099639<10> × 12077079961<11>
73×1027+89 = 8111111111111111111111111112<28> = 23 × 32 × 13 × 277 × 31284176891878456258721<23>
73×1028+89 = 81111111111111111111111111112<29> = 23 × 19 × 401 × 53818477 × 24726405464352703<17>
73×1029+89 = 811111111111111111111111111112<30> = 23 × 283 × 587 × 5021 × 121555777505881548229<21>
73×1030+89 = 8111111111111111111111111111112<31> = 23 × 3 × 29 × 10847 × 5909383 × 181810655427672647<18>
73×1031+89 = 81111111111111111111111111111112<32> = 23 × 17 × 41 × 53 × 127 × 233 × 1794343 × 5169119939224733<16>
73×1032+89 = 811111111111111111111111111111112<33> = 23 × 7 × 406699 × 35613874103764661646534973<26>
73×1033+89 = 8111111111111111111111111111111112<34> = 23 × 3 × 13 × 3733 × 6643699512347<13> × 1048232897075801<16>
73×1034+89 = 81111111111111111111111111111111112<35> = 23 × 47 × 743 × 1049 × 33723236347<11> × 8207274471266203<16>
73×1035+89 = 811111111111111111111111111111111112<36> = 23 × 59 × 61 × 179 × 827 × 1187 × 160324264985454242899741<24>
73×1036+89 = 8111111111111111111111111111111111112<37> = 23 × 32 × 41 × 114493 × 23998553322496086348798897917<29>
73×1037+89 = 81111111111111111111111111111111111112<38> = 23 × 109 × 93017329255861365953109072375127421<35>
73×1038+89 = 811111111111111111111111111111111111112<39> = 23 × 7 × 14484126984126984126984126984126984127<38>
73×1039+89 = 8111111111111111111111111111111111111112<40> = 23 × 3 × 13 × 264153879526622233<18> × 98416691981731523447<20>
73×1040+89 = 81111111111111111111111111111111111111112<41> = 23 × 45185311 × 1698814111844131<16> × 132083092290560429<18>
73×1041+89 = 811111111111111111111111111111111111111112<42> = 23 × 23 × 31 × 41 × 67 × 44576400710627<14> × 1161280612685719195937<22>
73×1042+89 = 8111111111111111111111111111111111111111112<43> = 23 × 3 × 197 × 1571 × 9859 × 908555183 × 121910895365933357880017<24>
73×1043+89 = 81111111111111111111111111111111111111111112<44> = 23 × 19781024687<11> × 512556303291614656933312429917847<33>
73×1044+89 = 811111111111111111111111111111111111111111112<45> = 23 × 7 × 53 × 19290863 × 14166572786030814542247698109943693<35>
73×1045+89 = 8111111111111111111111111111111111111111111112<46> = 23 × 33 × 13 × 1021 × 44449 × 63649575323894132269163152689559891<35>
73×1046+89 = 81111111111111111111111111111111111111111111112<47> = 23 × 19 × 41 × 10079 × 48973 × 623220921560569<15> × 42309386470838239217<20>
73×1047+89 = 811111111111111111111111111111111111111111111112<48> = 23 × 17 × 5964052287581699346405228758169934640522875817<46>
73×1048+89 = 8111111111111111111111111111111111111111111111112<49> = 23 × 3 × 4133 × 81771827477126291546809330501563746180247511<44>
73×1049+89 = 81111111111111111111111111111111111111111111111112<50> = 23 × 4831866893000942761<19> × 2098337788148774374331134117649<31>
73×1050+89 = 811111111111111111111111111111111111111111111111112<51> = 23 × 72 × 593 × 23059 × 151320971544906858830191610058332805065603<42>
73×1051+89 = 8(1)502<52> = 23 × 3 × 13 × 41 × 113 × 61331 × 91492060936290243294643978441893505594637<41>
73×1052+89 = 8(1)512<53> = 23 × 89 × 113920099875156054931335830212234706616729088639201<51>
73×1053+89 = 8(1)522<54> = 23 × 3407 × 331391 × 466079 × 256507240421<12> × 751135618725263730227324683<27>
73×1054+89 = 8(1)532<55> = 23 × 32 × 2843 × 39625156872196384448700077730444713678387028134947<50>
73×1055+89 = 8(1)542<56> = 23 × 461 × 6983 × 8202797443<10> × 71371173451<11> × 5379755913515398039463380571<28>
73×1056+89 = 8(1)552<57> = 23 × 7 × 31 × 41 × 299671499937146254871<21> × 38027811413804741113365669867247<32>
73×1057+89 = 8(1)562<58> = 23 × 3 × 13 × 53 × 149 × 702148756287650404167353<24> × 4688506125308370358631680111<28>
73×1058+89 = 8(1)572<59> = 23 × 29 × 263 × 6983170570093<13> × 190363625370353749394377674796601206666199<42>
73×1059+89 = 8(1)582<60> = 23 × 59441 × 1705706311954524467772898990408790042039819129706581129<55>
73×1060+89 = 8(1)592<61> = 23 × 3 × 103 × 3281193815174397698669543329737504494786048184106436533621<58>
73×1061+89 = 8(1)602<62> = 23 × 41 × 247289972899728997289972899728997289972899728997289972899729<60>
73×1062+89 = 8(1)612<63> = 23 × 7 × 157 × 92255585886159134566777878879789707815185522191891618643211<59>
73×1063+89 = 8(1)622<64> = 23 × 32 × 13 × 17 × 23 × 162897503731<12> × 136054626800504964424049850954688172207776506577<48>
73×1064+89 = 8(1)632<65> = 23 × 19 × 18369419 × 29049679306359773642466630599157874660250589906744031849<56>
73×1065+89 = 8(1)642<66> = 23 × 32261002890847<14> × 91471786909308935603<20> × 34357799143288057463721801506429<32>
73×1066+89 = 8(1)652<67> = 23 × 3 × 41 × 1841989355674465373<19> × 4475052513883482936864250043443905322232439191<46>
73×1067+89 = 8(1)662<68> = 23 × 124980839593<12> × 81123545992379088729017807862382239460692217698253760273<56>
73×1068+89 = 8(1)672<69> = 23 × 7 × 45173299 × 2403258079513237<16> × 133416672372792499437141526385594255929471729<45>
73×1069+89 = 8(1)682<70> = 23 × 3 × 13 × 91513 × 80149544179947865369<20> × 3544393301556872714627330095969853592585583<43>
73×1070+89 = 8(1)692<71> = 23 × 53 × 191299790356394129979035639412997903563941299790356394129979035639413<69>
73×1071+89 = 8(1)702<72> = 23 × 31 × 41 × 1213 × 777072407 × 84629646020803302317286340353323781831975413039693417149<56>
73×1072+89 = 8(1)712<73> = 23 × 34 × 197059 × 896715720983<12> × 481092018021913212137<21> × 147240110618118173682082691459021<33>
73×1073+89 = 8(1)722<74> = 23 × 127 × 79833770778652668416447944006999125109361329833770778652668416447944007<71>
73×1074+89 = 8(1)732<75> = 23 × 7 × 67 × 962904260564941<15> × 224509339730467891409527087594110716160691796374950329641<57>
73×1075+89 = 8(1)742<76> = 23 × 3 × 13 × 2477 × 55229 × 434107 × 3285009618217<13> × 5055252043205417776139<22> × 26360662604018026277448967<26>
73×1076+89 = 8(1)752<77> = 23 × 41 × 229 × 5204327 × 207494432477319930370681397240557083513869881648767381030325432763<66>
73×1077+89 = 8(1)762<78> = 23 × 31907 × 149417 × 21266909304817955252738296996464743121080742857018304804138427263931<68>
73×1078+89 = 8(1)772<79> = 23 × 3 × 4522495623886431899036013316894351<34> × 74729306796439219378709499103491019112996413<44> (Eric Jeancolas / ECM for P34 x P44 / December 19, 2022 2022 年 12 月 19 日)
73×1079+89 = 8(1)782<80> = 23 × 17 × 20362523 × 4373434045415971<16> × 6697107544031487622630698861336163206284361691255933049<55>
73×1080+89 = 8(1)792<81> = 23 × 7 × 47 × 49193 × 1760082839<10> × 36161316271<11> × 98426902555821633520475356626777264736541498909211473<53>
73×1081+89 = 8(1)802<82> = 23 × 32 × 133 × 412 × 8731 × 67429 × 799912279 × 1299242809625676268692380203<28> × 49854767043834658380497606231<29>
73×1082+89 = 8(1)812<83> = 23 × 19 × 991 × 37604780389697<14> × 14319242745821583023963150785150990361874012908751296145191642653<65>
73×1083+89 = 8(1)822<84> = 23 × 53 × 4549 × 26333734920099894797<20> × 8964967404556599659355521<25> × 1781301291689058723706369171098101<34>
73×1084+89 = 8(1)832<85> = 23 × 3 × 1999 × 187751 × 176089697711894090291<21> × 5113757248664026731978027052255780589606923680041967257<55>
73×1085+89 = 8(1)842<86> = 23 × 23 × 440821256038647342995169082125603864734299516908212560386473429951690821256038647343<84>
73×1086+89 = 8(1)852<87> = 23 × 7 × 29 × 31 × 41 × 20947 × 1019196863<10> × 10466134497131551043948931949679<32> × 1758662700852654808613521890853816687<37> (Eric Jeancolas / ECM for P32 x P37 / December 19, 2022 2022 年 12 月 19 日)
73×1087+89 = 8(1)862<88> = 23 × 3 × 13 × 459443 × 1782103 × 123965419 × 256130185273784029899003716681570240924710190317022150978592706601<66>
73×1088+89 = 8(1)872<89> = 23 × 1071874513063<13> × 9459026001015634048222680282958514595320452842396953569338093603892407311903<76>
73×1089+89 = 8(1)882<90> = 23 × 15241 × 403993 × 530443 × 22423601869<11> × 15192019237861<14> × 2281051360573616394917<22> × 39949228645248441939142349807<29>
73×1090+89 = 8(1)892<91> = 23 × 32 × 2473 × 45553708446281569343976676501275503836495883941631346942035714107421884750365677714377<86>
73×1091+89 = 8(1)902<92> = 23 × 41 × 677 × 4198948129513277687<19> × 4156283964259724606177847611489057<34> × 20930139210223302494862437124230603<35> (Eric Jeancolas / ECM for P34 x P35 / December 19, 2022 2022 年 12 月 19 日)
73×1092+89 = 8(1)912<93> = 23 × 72 × 919 × 40426074853<11> × 7985454505826501557463<22> × 6974571915412639953375014197884117956307907692281428421<55>
73×1093+89 = 8(1)922<94> = 23 × 3 × 13 × 59 × 131 × 2647 × 3907 × 43215647 × 7525997633880142396468830750220212030076615527526069048912659500316714013<73>
73×1094+89 = 8(1)932<95> = 23 × 97 × 103 × 2017 × 4956619425263821322009<22> × 101505583468279253307041670568288856323554557746639943273185562743<66>
73×1095+89 = 8(1)942<96> = 23 × 17 × 61 × 21752984309519<14> × 4494617730863020180321436739552513182061888223354865396638081405233342836487763<79>
73×1096+89 = 8(1)952<97> = 23 × 3 × 41 × 53 × 89 × 277 × 14437 × 12625972599613<14> × 34609697860678935559839977717198322211140221193713474163382507373858267<71>
73×1097+89 = 8(1)962<98> = 23 × 81970884439880228686240532705231<32> × 123688904397817465728762907059216637407041147797573166645040454519<66> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3038989025 for P32 x P66 / December 19, 2022 2022 年 12 月 19 日)
73×1098+89 = 8(1)972<99> = 23 × 7 × 227 × 647 × 17207 × 43781917 × 8183197487<10> × 15997024927780027217268188990488622593150231852354531533892878140261911<71>
73×1099+89 = 8(1)982<100> = 23 × 33 × 13 × 151 × 379 × 49411 × 4680971257<10> × 337442049596947894769<21> × 646708057376169524268859220104254931733590682762986808857<57>
73×10100+89 = 8(1)992<101> = 23 × 19 × 29017 × 46511 × 2089925706353<13> × 189189804338333245776987097211301482075793813983631158364269865485499677414021<78>
73×10101+89 = 8(1)1002<102> = 23 × 31 × 41 × 604536912798131091485830511<27> × 348038093516802027877118926135201709<36> × 379136161001688271733848112966694341<36> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2761447223 for P36(3480...) x P36(3791...) / December 19, 2022 2022 年 12 月 19 日)
73×10102+89 = 8(1)1012<103> = 23 × 3 × 1801 × 31723409 × 6956861347<10> × 850280458187701281733744551267299755856514640528634234073477314432795459444290681<81>
73×10103+89 = 8(1)1022<104> = 23 × 6269 × 431911141 × 241443273344724774758457421047659<33> × 15508956462360550077797876462728714267919909716854303311099<59> (Eric Jeancolas / ECM for P33 x P59 / December 19, 2022 2022 年 12 月 19 日)
73×10104+89 = 8(1)1032<105> = 23 × 7 × 167 × 3465738794279<13> × 25025342201010528630370064209086354860783217173586515388815154166150376573954801914165039<89>
73×10105+89 = 8(1)1042<106> = 23 × 3 × 13 × 25997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997150997151<104>
73×10106+89 = 8(1)1052<107> = 23 × 41 × 191 × 2432661567643253<16> × 160935396788641967<18> × 3307043218752906921961424973243468209833384302730007791803011123010269<70>
73×10107+89 = 8(1)1062<108> = 23 × 23 × 672 × 1559 × 323053 × 149915887992149231<18> × 24303709115327795479961<23> × 535146646810563669704630277368400208242278476463039491<54>
73×10108+89 = 8(1)1072<109> = 23 × 32 × 1069 × 66601 × 9767873 × 49751453231<11> × 88803576190219757730035149<26> × 36665124850711955661209537475799559584511513429776496207<56>
73×10109+89 = 8(1)1082<110> = 23 × 53 × 181 × 14722667024806249406323969<26> × 71787599170402962746342059686275920372515267196592257312099871719277934056481217<80>
73×10110+89 = 8(1)1092<111> = 23 × 7 × 5701 × 523213 × 5557627 × 127565225303<12> × 6849219119751228965800455363255901294411370900780221607932183460162622373356600059<82>
73×10111+89 = 8(1)1102<112> = 23 × 3 × 13 × 172 × 41 × 16402506201416065771302076790158421743746431356215461<53> × 133762336604514288227145397437271167973963529532160859<54> (Dmitry Domanov / Msieve 1.54 snfs for P53 x P54 / December 23, 2022 2022 年 12 月 23 日)
73×10112+89 = 8(1)1112<113> = 23 × 2687 × 143200497855780611<18> × 26349851342171858568521165487893147012531354238071387272024530339248623754030003122003264877<92>
73×10113+89 = 8(1)1122<114> = 23 × 23857 × 187686480060601<15> × 80457868960005043022127286198171079<35> × 281431702659231426060114796623212343056511813262701728359463<60> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2981275534 for P35 x P60 / December 19, 2022 2022 年 12 月 19 日)
73×10114+89 = 8(1)1132<115> = 23 × 3 × 29 × 3709 × 1645314809<10> × 157362947493854684459<21> × 84148559532322403582873<23> × 144216882550099118721698077015479848819923155982900031041<57>
73×10115+89 = 8(1)1142<116> = 23 × 127 × 58379 × 709273 × 14288977 × 4063893553<10> × 10515904909760577631<20> × 3157377080751253288673381906471607276426758909929791170388932514211<67>
73×10116+89 = 8(1)1152<117> = 23 × 7 × 31 × 41 × 1039 × 19031 × 100483 × 5735575797924724541515868640942983288689449885376916321302496383500297679122329245308297645096253771<100>
73×10117+89 = 8(1)1162<118> = 23 × 32 × 13 × 2281 × 85121422295011<14> × 2628500414163697<16> × 4262114142632117791<19> × 111779017015446920335613<24> × 35640758074954736111316517307905246601237<41>
73×10118+89 = 8(1)1172<119> = 23 × 19 × 1873 × 9941 × 13399 × 306877 × 2621163506809995114740584607<28> × 2659120827868179060595018704495187281835860681173912261764944699328058747<73>
73×10119+89 = 8(1)1182<120> = 23 × 1768607 × 2051359996979<13> × 27945838305697223988273636885607459018292261656485691104532093714937138921228417535426039507056497213<101>
73×10120+89 = 8(1)1192<121> = 23 × 3 × 2837 × 382672357856060010581<21> × 311302551925601512584547521803360503116820253175600798896165871200216569046852114667625285577579<96>
73×10121+89 = 8(1)1202<122> = 23 × 41 × 1231239684480095580743<22> × 1099351413799297630198679639079168182839367<43> × 182695294905160919639572261645367294926856326550662384609<57> (Eric Jeancolas / cado-nfs-3.0.0 for P43 x P57 / December 19, 2022 2022 年 12 月 19 日)
73×10122+89 = 8(1)1212<123> = 23 × 7 × 53 × 199 × 670903 × 7156411 × 22859086157<11> × 223212393829697<15> × 56057173957053290454789836010673689437918799893165299963378226600269313446877213<80>
73×10123+89 = 8(1)1222<124> = 23 × 3 × 13 × 1512787 × 358914119 × 47880362513308655746387125408161735011041755280038391744018218732414715878988252698000029989953151189206867<107>
73×10124+89 = 8(1)1232<125> = 23 × 257 × 367132211 × 10373781928152032165451039119625424259285869<44> × 10358518268738283564115178353776513047954113763726704846350559577314703<71> (Dmitry Domanov / Msieve 1.54 snfs for P44 x P71 / December 25, 2022 2022 年 12 月 25 日)
73×10125+89 = 8(1)1242<126> = 23 × 4831 × 135215893650569<15> × 236770118145511<15> × 312311471893549<15> × 1050658800090357103744623815482301<34> × 1997786403154280152483085846220007621321934209<46> (Eric Jeancolas / Dario Alpern's calculator for P34 x P46 / December 19, 2022 2022 年 12 月 19 日)
73×10126+89 = 8(1)1252<127> = 23 × 33 × 41 × 47 × 2794315933752410239<19> × 272704045660532099503<21> × 25572771421994583553531546576253982629737443029946145367110406775013666284091948573<83>
73×10127+89 = 8(1)1262<128> = 23 × 17 × 331 × 19249 × 240008009612292850755544731451223<33> × 484970631071399934488444912381120117977<39> × 804200060350616915416727081176578183424452540533<48> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3132480728 for P33, cado-nfs-3.0.0 for P39 x P48 / December 19, 2022 2022 年 12 月 19 日)
73×10128+89 = 8(1)1272<129> = 23 × 7 × 103 × 17516809005517553689<20> × 167306582360887300900409<24> × 47982964535030614178007981991863780470789162748056134771498682723558533144420725209<83>
73×10129+89 = 8(1)1282<130> = 23 × 3 × 13 × 23 × 16519 × 15608909601671831<17> × 4383707839296309431787527791271661771860968349525163034985160219275939264666689754085785624247357514705433<106>
73×10130+89 = 8(1)1292<131> = 23 × 1327 × 113656581419<12> × 23820052651327<14> × 6445513738694773<16> × 533563466718919897774393130094737<33> × 820613222633283261428502999215283391494799698466923839<54> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4236342379 for P33 x P54 / December 19, 2022 2022 年 12 月 19 日)
73×10131+89 = 8(1)1302<132> = 23 × 31 × 41 × 169639 × 17691433 × 200475537233<12> × 6500042973520259327949165247<28> × 86352439452587146062481791303421<32> × 236213042050078075440946501890518596797851467<45> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:129535543 for P32 x P45 / December 19, 2022 2022 年 12 月 19 日)
73×10132+89 = 8(1)1312<133> = 23 × 3 × 286704947 × 1178783158432780592945133112624537179551920891560210724103630353343582044864272826666513581165946756276106261127621781018529<124>
73×10133+89 = 8(1)1322<134> = 23 × 1223 × 432030820797769<15> × 218716701636808346544556151329814664140951<42> × 87733858234841563501111119154841325045451289988568034647065274561845434897<74> (Dmitry Domanov / Msieve 1.54 snfs for P42 x P74 / January 1, 2023 2023 年 1 月 1 日)
73×10134+89 = 8(1)1332<135> = 23 × 72 × 373058869 × 4410963765893438922799693<25> × 42067637925477127015350117947665179517<38> × 29890645703174367072996497802910117449107482420553580150995149<62> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2535360163 for P38 x P62 / December 19, 2022 2022 年 12 月 19 日)
73×10135+89 = 8(1)1342<136> = 23 × 32 × 13 × 53 × 719 × 5533303 × 659994699698771<15> × 62269423016646904827745903482436797022705748280126192624342859749428498738044449587246477893774715445214387<107>
73×10136+89 = 8(1)1352<137> = 23 × 19 × 41 × 10241219 × 17970671 × 27721231673<11> × 191503261152443<15> × 20329520636648045356759<23> × 655271266582945688305607370688667229136812280153186314919346693402884459<72>
73×10137+89 = 8(1)1362<138> = 23 × 175691 × 275947891 × 143670570871<12> × 162863286726244610873<21> × 89376379339009071015824242815398750244821986248944501496337132353672194973236243556305863543<92>
73×10138+89 = 8(1)1372<139> = 23 × 3 × 2621 × 3209 × 3185669 × 3958148413784152710418811887646022943<37> × 3186688749946225297962315125743673180386939194689286547042412662451313702735814486221301<88> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3470137153 for P37 x P88 / December 19, 2022 2022 年 12 月 19 日)
73×10139+89 = 8(1)1382<140> = 23 × 1925595976429343730367845690495278653243<40> × 5265325132060960723097328629734151616454525552363896105063119375077007297908624607718838134095780123<100> (Bob Backstrom / Msieve 1.54 snfs for P40 x P100 / December 23, 2022 2022 年 12 月 23 日)
73×10140+89 = 8(1)1392<141> = 23 × 7 × 67 × 89 × 157 × 197 × 1626257515384476113<19> × 1387756541357693329949899<25> × 34798380782219052825825005895636809012725663038091286316600143598004156740240971727312023<89>
73×10141+89 = 8(1)1402<142> = 23 × 3 × 13 × 41 × 20666333 × 12322608252654794999<20> × 2981867357332918309621840932489021512622786626615153<52> × 835001996943928552650771065751315316377492205865041022844661<60> (anonymous / GGNFS snfs for P52 x P60 / January 16, 2023 2023 年 1 月 16 日)
73×10142+89 = 8(1)1412<143> = 23 × 29 × 2065110333221909086956376061132651947216361208094653221<55> × 169296939060921043558009395023902269003061745896117657153242614931986137727379740899721<87> (Bob Backstrom / Msieve 1.54 snfs for P55 x P87 / December 23, 2022 2022 年 12 月 23 日)
73×10143+89 = 8(1)1422<144> = 23 × 17 × 164357 × 15103337407700717793963520735964953549440382855510081177<56> × 2402593579616968705179156866267212905805875895759426288398548249518611278910036253<82> (Bob Backstrom / Msieve 1.54 snfs for P56 x P82 / December 23, 2022 2022 年 12 月 23 日)
73×10144+89 = 8(1)1432<145> = 23 × 32 × 98377 × 22838989 × 7093548928096889<16> × 7068281472460100619042877440106083264802038107212361327915862255722539145681613137186988861244016616817108387066613<115>
73×10145+89 = 8(1)1442<146> = 23 × 109 × 2027567 × 1385860464875001746977373<25> × 33103136585639388220831874478968687352974805230326983133536601295631721003111482039638972296595769021904784573231<113>
73×10146+89 = 8(1)1452<147> = 23 × 7 × 31 × 41 × 115831 × 331124465923<12> × 297119185979775426535980767813391071537984390875492385005689176228265970728945510570282216493843169741832438360084704477660549<126>
73×10147+89 = 8(1)1462<148> = 23 × 3 × 13 × 491 × 1423 × 207111657203567<15> × 1148177761609762395821666533190715259672591513830724269649277<61> × 156468057060947428236369285004781978139122669597422063404175690273<66> (Rytis Slatkevicius / yafu for P61 x P66 / January 26, 2023 2023 年 1 月 26 日)
73×10148+89 = 8(1)1472<149> = 23 × 53 × 8893 × 9479 × 36599 × 2394602069854935712053148987<28> × 25894116981570729060845542415441386753812098113596012351889703102709359924886074255827011750905635452732283<107>
73×10149+89 = 8(1)1482<150> = 23 × 5443 × 2656486396079<13> × 6141068024586869513<19> × 395543635629964511030708810951456237126647<42> × 2886729723775563395554466438006718185166987518187957082906508861389614067<73> (anonymous / GMP-ECM 7.0.5 B1=3000000, sigma=0:2902560407 for P42 x P73 / January 26, 2023 2023 年 1 月 26 日)
73×10150+89 = 8(1)1492<151> = 23 × 3 × 185235073 × 10176094215003083820166233188294837<35> × 179293592359387401563205395446440958309349806395389770408410913393417945287976485780651192047793580535162663<108> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2470339205 for P35 x P108 / December 19, 2022 2022 年 12 月 19 日)
73×10151+89 = 8(1)1502<152> = 23 × 232 × 41 × 59 × 987419173913203<15> × 9545049984567584853321401<25> × 840657438395109098946281490000367469289258865484916454494138862273839808414127028976187269198140023807113<105>
73×10152+89 = 8(1)1512<153> = 23 × 7 × 381941631685791947369000703903137633579820925335589<51> × 37922357194207344571835476426970920521474896666489173189668098302595884426059845118305846505936724243<101> (ebina / Msieve 1.53 snfs for P51 x P101 / December 24, 2022 2022 年 12 月 24 日)
73×10153+89 = 8(1)1522<154> = 23 × 34 × 13 × 389 × 574126087 × 16545028396097<14> × 389552438524471751<18> × 14145609529182183440077427<26> × 47287897017036807847171010803930058269254109744107133517070794294103763526038935139<83>
73×10154+89 = 8(1)1532<155> = 23 × 19 × 330791 × 31654557078742723969<20> × 76196447743161194524008071952020287<35> × 541287810353337294373900262005296599<36> × 1235616970681330986769443100402920938984220773492362720253<58> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:997075846 for P35, GMP-ECM 7.0.4 B1=1000000, sigma=1:995489411 for P36 x P58 / December 19, 2022 2022 年 12 月 19 日)
73×10155+89 = 8(1)1542<156> = 23 × 61 × 223 × 17713 × 15034104710678856874218398419783940378530557072159974240451463<62> × 27988909138932425437695220455975695092902966843975747309418868530467041785911753015877<86> (Bob Backstrom / Msieve 1.54 snfs for P62 x P86 / December 28, 2022 2022 年 12 月 28 日)
73×10156+89 = 8(1)1552<157> = 23 × 3 × 41 × 787 × 393073 × 253864937 × 20738515778391509768029890310521019<35> × 5061239787181384601984235041582060113633056354790174650496205223316729193075732566234466149688718452531<103> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1486353090 for P35 x P103 / December 19, 2022 2022 年 12 月 19 日)
73×10157+89 = 8(1)1562<158> = 23 × 127 × 431 × 75353 × 106693 × 23039491963126809047393262771373223992527207795961772916879034332546406125695345345578591305974109088383677056627267738001731022995877038659293<143>
73×10158+89 = 8(1)1572<159> = 23 × 7 × 27634269320250841156762050793691<32> × 3236102215044252868668279920394440046707<40> × 161965347485229083648876380406771864582944969987325660085927530513365967931211244183071<87> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:548714932 for P32 / December 19, 2022 2022 年 12 月 19 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=25060000, sigma=1:2028766043 for P40 x P87 / December 29, 2022 2022 年 12 月 29 日)
73×10159+89 = 8(1)1582<160> = 23 × 3 × 132 × 17 × 499976409506862489557<21> × 31367690323648088657527549511491768400439067329551385204236351<62> × 7500693647000451092877507617576874536291352007454259758417239159918512833<73> (Bob Backstrom / Msieve 1.44 snfs for P62 x P73 / January 30, 2023 2023 年 1 月 30 日)
73×10160+89 = 8(1)1592<161> = 23 × 887 × 37285697 × 12928062551531<14> × 298575535414777<15> × 74639404332663623<17> × 264476602074132531957162375349978017471516244577<48> × 4023290502132956731058744015956524309833488919681743660963<58> (Ignacio Santos / GNFS, Msieve for P48 x P58 / December 25, 2022 2022 年 12 月 25 日)
73×10161+89 = 8(1)1602<162> = 23 × 31 × 41 × 53 × 5897977 × 841792949 × 5831961827071857501259856925649<31> × 705408382555289879030555412033350386875047<42> × 73689446823833693393788834945679262118921220087329371577432886282137<68> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:405063986 for P31 / December 19, 2022 2022 年 12 月 19 日) (Ignacio Santos / GNFS, Msieve for P42 x P68 / December 25, 2022 2022 年 12 月 25 日)
73×10162+89 = 8(1)1612<163> = 23 × 32 × 103 × 3769 × 3473849 × 119540590969039524494571941840024963263899881<45> × 698808464449750057287209186597796238956589468323001642700249077651134923439770511167129657008684103028287<105> (Bob Backstrom / Msieve 1.54 snfs for P45 x P105 / December 28, 2022 2022 年 12 月 28 日)
73×10163+89 = 8(1)1622<164> = 23 × 113 × 317437 × 1236797 × 13994541366225069038383964491<29> × 68931450339805425481625718634726147592877505664914231<53> × 236908075325348924066508407046726165655369043622304870334030987472437<69> (Bob Backstrom / Msieve 1.44 snfs for P53 x P69 / February 2, 2023 2023 年 2 月 2 日)
73×10164+89 = 8(1)1632<165> = 23 × 7 × 599 × 302329 × 37967334577838579<17> × 7186650727664102171<19> × 13722404489102047061<20> × 375795083672573895842699571701<30> × 40121085008301019573130807992421323<35> × 1416756016380371802521315365295645531<37> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1225896255 for P30, Dario Alpern's calculator for P35 x P37 / December 19, 2022 2022 年 12 月 19 日)
73×10165+89 = 8(1)1642<166> = 23 × 3 × 13 × 277 × 402331 × 5686132538805730657551485332799927626105952681420036829489756679<64> × 41024709307925767549583848738160087754550355225370251643468555435233999560196912314589405087<92> (Bob Backstrom / Msieve 1.54 snfs for P64 x P92 / December 27, 2022 2022 年 12 月 27 日)
73×10166+89 = 8(1)1652<167> = 23 × 41 × 729092459992827347059<21> × 339175051820124133807287405633484685207345311036025386190023285295227756204101448795262411917212355680421854782952515517478961790373641512465131<144>
73×10167+89 = 8(1)1662<168> = 23 × 577 × 41180859774782243<17> × 28682986735388595600177371864502211308693082107902770893839<59> × 148762945531772460425596669125018798975945692996267984403691458315931664146404710790077341<90> (Bob Backstrom / Msieve 1.54 snfs for P59 x P90 / January 1, 2023 2023 年 1 月 1 日)
73×10168+89 = 8(1)1672<169> = 23 × 3 × 709 × 333975955829<12> × 4252615162136873986811601720121812409060731282280659753548456828506103<70> × 335622902619258535487853064924780576581137883322011503201642955054305325950645431261<84> (Bob Backstrom / Msieve 1.54 snfs for P70 x P84 / December 31, 2022 2022 年 12 月 31 日)
73×10169+89 = 8(1)1682<170> = 23 × 43834946843<11> × 112271676379<12> × 48121673687580458215754576719<29> × 61055960451622023641419020753923303031796870026493<50> × 701182197100846752332076934049430173574082194714549599473382633433211<69> (Eric Jeancolas / cado-nfs-3.0.0 for P50 x P69 / December 31, 2022 2022 年 12 月 31 日)
73×10170+89 = 8(1)1692<171> = 23 × 7 × 29 × 283 × 1151 × 7642608010022117342648948800871171074615277<43> × 200627740211103491700281527240461082169285192028531991235719144133261176089895367206052986903130664720537267837398668043<120> (Bob Backstrom / Msieve 1.54 snfs for P43 x P120 / January 1, 2023 2023 年 1 月 1 日)
73×10171+89 = 8(1)1702<172> = 23 × 32 × 13 × 41 × 33279397247506199<17> × 2426085766067499866271493<25> × 2617815552957257828994324855119527104792382393792175023458054944819038579774349678460439906810380715294679414643842847309274591<127>
73×10172+89 = 8(1)1712<173> = 23 × 192 × 47 × 83305313740470794873502762917<29> × 1466162200706462626509068321001384384363770477216138801<55> × 4892497143724947770558622141450763447929243497917553528466735917770876257423789754051<85> (Bob Backstrom / Msieve 1.54 snfs for P55 x P85 / January 4, 2023 2023 年 1 月 4 日)
73×10173+89 = 8(1)1722<174> = 23 × 23 × 67 × 31321 × 54300817 × 38685279724619538906797811307610682465756249692485284800502003638122801338906103974025727745040408127467383438904341550419202407112659290982684795697579051997<158>
73×10174+89 = 8(1)1732<175> = 23 × 3 × 53 × 151 × 4155061 × 188354940710597715517<21> × 53958748901347595046409283040383636697534665953213631527881808687557958003882355052284817220890949134389424190743464260917133576966940383994833<143>
73×10175+89 = 8(1)1742<176> = 23 × 17 × 81681225094660860226739<23> × 5149160171345627573972539657801795444574863<43> × 1418021442641264886977319814262321197103327036057946311372010234329838724464234176954223385440077912418135581<109> (Bob Backstrom / GMP-ECM 7.0.4 B1=29090000, sigma=1:3060330042 for P43 x P109 / January 2, 2023 2023 年 1 月 2 日)
73×10176+89 = 8(1)1752<177> = 23 × 72 × 31 × 41 × 2671391 × 38288093 × 668123116930807<15> × 12634805322790399630384637572895621247977828973984019579<56> × 1885482410454726737895038031716774053681391282937929869676215280283314924503392425759369<88> (Ignacio Santos / GNFS, Msieve for P56 x P88 / April 20, 2023 2023 年 4 月 20 日)
73×10177+89 = 8(1)1762<178> = 23 × 3 × 13 × 9672256613487939443461121<25> × 7154331266514303389275917936428133893009135614245263<52> × 375689364835256789997087291002943096956684615657355474829979417779282865050630281002704556407101937<99> (Bob Backstrom / Msieve 1.44 snfs for P52 x P99 / January 5, 2023 2023 年 1 月 5 日)
73×10178+89 = 8(1)1772<179> = 23 × 5903 × 6976046402412341561<19> × 246211435219819216824018642977797999015359194401675954872022433707182184122915695172648311980073174954105699707580346255451461431789499599972417027125369583<156>
73×10179+89 = 8(1)1782<180> = 23 × 44789779 × 484152343 × 105414969193691<15> × 207972881280737953<18> × 186164609841322383083272386855559433592582430097002538622181<60> × 1145574365609672916211287498332714489976281924095983585308315504099638499<73> (Erik Branger / GGNFS, NFS_facotry, Msieve snfs for P60 x P73 / January 12, 2023 2023 年 1 月 12 日)
73×10180+89 = 8(1)1792<181> = 23 × 33 × 13421 × 34738339375300343198831<23> × 9099017652525590210980428983069111533857509476184477919597943<61> × 8851933892718691203785593527614173239262238233865776939151806858822439299339928734773343199<91> (Erik Branger / GGNFS; NFS_factory, Msieve snfs for P61 x P91 / January 12, 2023 2023 年 1 月 12 日)
73×10181+89 = 8(1)1802<182> = 23 × 41 × 347 × 712651218731207484985512679334286138250431495669423553025155611786665417086447521535734089329365916137547542622400287403450403380114492787579172621697398530181267230539740555907<177>
73×10182+89 = 8(1)1812<183> = 23 × 7 × 5987 × 11177 × 297757 × 104609502929<12> × 948299846634500791<18> × 62946232735323909991<20> × 116415088458899287476749068062931531165094101917649404359680481908647484028630694485323828572454812540609060874375382561<120>
73×10183+89 = 8(1)1822<184> = 23 × 3 × 13 × 2731 × 45589 × 5733401 × 164859279941<12> × 13487176325333393<17> × 78314494549707855946762214961456611210531378824614928543<56> × 209148661444624042308894521968901652345247064894247856213219156987484486264000751571<84> (Norman Powell / CADO-NFS v3.0.0. for P56 x P84 / January 24, 2023 2023 年 1 月 24 日)
73×10184+89 = 8(1)1832<185> = 23 × 89 × 678686521 × 835347629947433<15> × 200938838834955185548832564032732861987142090842136534811219350027517378738897312400876261740636368319048865839900724471660772111275293547432092919886212017857<159>
73×10185+89 = 8(1)1842<186> = 23 × 509 × 3444083 × 753235810975203956558955433691033316751972937<45> × 76783519141611210797579773702942518870687076530040801533895630366302438117541034492187942736785419959804488860887232797263086784551<131> (Bob Backstrom / Msieve 1.44 snfs for P45 x P131 / January 11, 2023 2023 年 1 月 11 日)
73×10186+89 = 8(1)1852<187> = 23 × 3 × 41 × 19785023417<11> × 3017047909153<13> × 7035258635586725570672096619239920691263763717788917744065941<61> × 19628468217630763427566521706804662257595447763640142162384889808250272357891620801315124072837889223<101> (Bob Backstrom / Msieve 1.44 snfs for P61 x P101 / January 15, 2023 2023 年 1 月 15 日)
73×10187+89 = 8(1)1862<188> = 23 × 53 × 337 × 59341 × 251491608142417<15> × 897665806430931832986322394918063865814731473213664363488093<60> × 42373228215102262747332093530023379266311812598509861759580817803309280652648712230356114335886086932669<104> (Bob Backstrom / Msieve 1.44 snfs for P60 x P104 / January 14, 2023 2023 年 1 月 14 日)
73×10188+89 = 8(1)1872<189> = 23 × 7 × 32783283400411243643355694686416867<35> × 7273473918357434562504643685063186737231<40> × 57428112289469821628387426646728895277403<41> × 1057726655112391434716782102110126458271757597108022019594402518001736417<73> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:782808320 for P35 / December 19, 2022 2022 年 12 月 19 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=25110000, sigma=1:4088799959 for P40 x P41 x P73 / January 11, 2023 2023 年 1 月 11 日)
73×10189+89 = 8(1)1882<190> = 23 × 32 × 13 × 169079 × 14400341 × 84361751 × 3796013514437<13> × 95774412554652786475639920467<29> × 116043073506822821898142143278590298780728021891074667403727900630470362736205926745958228470526460774915087000573293495012207<126>
73×10190+89 = 8(1)1892<191> = 23 × 19 × 97 × 406789 × 459523 × 36859029191687710929244909<26> × 798444404863615544010622294356803554497925641111350032746085500798296647762173214860934187004578982831846600693087427425388918596660261764551368044801<150>
73×10191+89 = 8(1)1902<192> = 23 × 17 × 31 × 41 × 59567 × 109847 × 44473214659<11> × 43414234374084713797700435545625289485758591552503072530591157765769459531418323<80> × 371425138491066388711138731963899529842502320766408658168455392844662359874838464391439<87> (Bob Backstrom / Msieve 1.44 snfs for P80 x P87 / January 29, 2023 2023 年 1 月 29 日)
73×10192+89 = 8(1)1912<193> = 23 × 3 × 17500770503<11> × 33680259565299916407224648645446417<35> × 573372037754848120356872150115836301176792870266204128017663865766925086481589566308645840830246156402856006621379439300955587992670412445946622213<147> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3812850550 for P35 x P147 / December 19, 2022 2022 年 12 月 19 日)
73×10193+89 = 8(1)1922<194> = 23 × 56101 × 1766564916062525569901227287849690686043218209<46> × 11239683737723387964712871213328641921533413296253726904419883431013<68> × 9101984020780747696191162644616592504643028905576422089439541405067791756417<76> (Bob Backstrom / Msieve 1.44 snfs for P46 x P68 x P76 / January 30, 2023 2023 年 1 月 30 日)
73×10194+89 = 8(1)1932<195> = 23 × 7 × 14484126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984126984127<194>
73×10195+89 = 8(1)1942<196> = 23 × 3 × 13 × 23 × 523 × 161387 × 3318191431<10> × 1161564619043<13> × 197929202498629549<18> × 91315900666363548719<20> × 273437653587895257491466049<27> × 3741011999822518900291781219<28> × 187922667697277472130265735363990440544566794372619195140092452959621749<72>
73×10196+89 = 8(1)1952<197> = 23 × 41 × 103 × 13896612937189<14> × 23750024692717931<17> × 1378632865368852452207<22> × 5276520478870816050593770392760309385367891244286486413282941644805700753262859876095542549307629617394973621267164494387339316722696009924511<142>
73×10197+89 = 8(1)1962<198> = 23 × 1583 × 657497 × 134148434457613<15> × 6027577734925183<16> × 25176310113154260146355371<26> × 4785145691429258571921211708643652185835605532073372193027594203038509430387482069502572160501929075598530424546425841728860804865471<133>
73×10198+89 = 8(1)1972<199> = 23 × 32 × 29 × 16340003 × 5894732635086405336471575513<28> × 40330500596028315005456072322456439092367517650382766002548967383656264315335650782026326535415396080985301092269151648474953734719386066213515277839882976170991<161>
73×10199+89 = 8(1)1982<200> = 23 × 127 × 3892697 × 18769404886049<14> × 80572176009593<14> × 13561272623785318776781323054154657327033168269709850400315187165512038539557245801535172820985419486336313835241425564798804455872171857312412003600541463558878583<164>
73×10200+89 = 8(1)1992<201> = 23 × 7 × 532 × 1531 × 16680029 × 7811117627313809<16> × 101445402816201001<18> × 254813858139070067663780996897522765671550612633919216164261166772488513022014019721682552423356996596254601588824496972230771698279682980418479158175233<153>
73×10201+89 = 8(1)2002<202> = 23 × 3 × 13 × 41 × 191 × 2357 × 587970904576658024965410677667126693313125763<45> × 2395483117153440240054865846781095331168481375899027087133668725102639232114138155156039669280506933652480777541767261926178542887971466593518782631<148> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1848393489 for P45 x P148 / February 12, 2023 2023 年 2 月 12 日)
73×10202+89 = 8(1)2012<203> = 23 × 11527 × 127837 × 39007957 × 1680170262444757320826857167<28> × 269950666847853088241702322998898903830162643046728867907552549853039<69> × 388889839546236336484061214108459984374441169949337418507193261405663138653551920138325471<90> (Bob Backstrom / Msieve 1.44 snfs for P69 x P90 / April 30, 2024 2024 年 4 月 30 日)
73×10203+89 = 8(1)2022<204> = 23 × 2906207 × 34887015580407344999474878729866416565953109633583873718867544152529014240516552636783576974692060437845235693427511835491721301644682876646050638818531814453990678877619140305177466329442083405927<197>
73×10204+89 = 8(1)2032<205> = 23 × 3 × 7681 × 1601608253650210757607854597171<31> × 27472301598368993398140335163381286313424021322855572419976734223291940989495748298832459639195603588266544694362251257074575702541934074467523611902298347107043128702113<170> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1255993379 for P31 x P170 / December 19, 2022 2022 年 12 月 19 日)
73×10205+89 = 8(1)2042<206> = 23 × 149 × 7507 × 45949 × 125899 × 232172887 × 6748819811272967441006318061587463125164654429619511942595406007298475347812182786574912948484105916661851151747399849337813412448399783453388381405238805071197352050695333527012479<181>
73×10206+89 = 8(1)2052<207> = 23 × 7 × 31 × 41 × 67 × [170087332622414882240850746082259639571428385031494582089365841729123667191001643835820709125311213219429807613985074440468594795308982046419955223694199938078891071598658761193843453669422174653688211<201>] Free to factor
73×10207+89 = 8(1)2062<208> = 23 × 33 × 13 × 17 × 238093 × [713653990622245104229391744439483927450800613918151144569700355105130066877452400915537155292318794777286514559825321103339861814230688984386178943729353330654563278306804241046062134866644138835219<198>] Free to factor
73×10208+89 = 8(1)2072<209> = 23 × 19 × 102022210782055519477771<24> × 5230485860908342504145084312848827492091932735927108769265103560297797406521836691959761537301013736809491386033559819126046789447309309521743754923916672973527549097454148079220502761<184>
73×10209+89 = 8(1)2082<210> = 23 × 59 × 1718455743879472693032015065913370998116760828625235404896421845574387947269303201506591337099811676082862523540489642184557438794726930320150659133709981167608286252354048964218455743879472693032015065913371<208>
73×10210+89 = 8(1)2092<211> = 23 × 3 × 1813566808520585381<19> × 10279939218470396609<20> × [18127795918679179976662836289482063277443447552450625439365907109070315755379849324783194451741228333747430785440706629303180917095706659017066008273264663155948547879111447<173>] Free to factor
73×10211+89 = 8(1)2102<212> = 23 × 41 × 227 × 5267068529<10> × [206829118423160071380175478601028938091678276918628857531998365977703317890744220034209433495819393257406455985843907242544327327924628062818265477741727860029278552735629706339580843857967475275563<198>] Free to factor
73×10212+89 = 8(1)2112<213> = 23 × 7 × 5297 × 147107 × 402943 × [46130206248110695189874115870950559303481402279887909222150752403971336795803889175887009319311404915981037927989171469517292559630712142299326208066048826192392633483407806437715165093546954802491<197>] Free to factor
73×10213+89 = 8(1)2122<214> = 23 × 3 × 13 × 53 × 179 × [2740292083603984099398877516301359455148851164451459592178470643738905570886175924649625503425440181000421329292416042705913054811547485733213571307805523047433029513771581864762006007921471186992426583445873<208>] Free to factor
73×10214+89 = 8(1)2132<215> = 23 × 623209 × 4075748279<10> × [3991620949777934235825168094437466064994084264141253478281359876396054320335859506576465815552265392448295035194437684754846927879195142173013915596206032995059344675312992341896631693411596195494199<199>] Free to factor
73×10215+89 = 8(1)2142<216> = 23 × 61 × 33753804569<11> × 49242239617967253136892096063612454998643100522825886694388864526370677782894270700309053861696492970127773678012702620123477699945935711844122457287074096947216533350181189262207082553335399823025604021<203>
73×10216+89 = 8(1)2152<217> = 23 × 32 × 41 × 14960291 × 557808775961<12> × 4973534216111<13> × 4561065855599819<16> × 7281161549709842292531074051210948514073981<43> × 3236452614991438322793077341673740703900506638713413<52> × 615938343446120835976225049897462176620972068616771871571562576216393103<72> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3885549375 for P43 / January 3, 2023 2023 年 1 月 3 日) (Ignacio Santos / GNFS, Msieve for P52 x P72 / January 7, 2023 2023 年 1 月 7 日)
73×10217+89 = 8(1)2162<218> = 23 × 23 × 193 × 15255563567<11> × 452980766928265313987<21> × [330519585974113395363859536852890131279281292402447137096594451892593135972713433253847603433326608416196774534749867256470251960742421806381010355116609174641536561265324418288885419<183>] Free to factor
73×10218+89 = 8(1)2172<219> = 23 × 72 × 47 × 157 × 2029 × 6995161 × 519161651 × 43745963003<11> × 2291994302031946525750668061813<31> × 379544665528695414912071336996087547538282320652021740639345674640397003419091544392416637772693775475452425051076258146962183684170486813550569453167099<153> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1878262850 for P31 x P153 / December 19, 2022 2022 年 12 月 19 日)
73×10219+89 = 8(1)2182<220> = 23 × 3 × 13 × 36505836284115009103608701597<29> × [712136842854995337190332839625112386855986451199830027920167520083752058739140748566955793522759449622606265772009602791168240883549231618708599933928498268169665998817017513829405875371883<189>] Free to factor
73×10220+89 = 8(1)2192<221> = 23 × 1451 × 110331059 × 454488044771802035233<21> × 78447978982741904419160801<26> × 1776318918809014763604031821830588668254670628246477780707101277098672054864374139384902341324423547507300128198764514258830349178746898983973513114216013023914537<163>
73×10221+89 = 8(1)2202<222> = 23 × 31 × 41 × 199 × 1041269 × 167671296332776381<18> × 171036343693145722013<21> × 291260207199544945011785812679<30> × 7803271766200122527442797514486583216563249420581540453713<58> × 5906412644628627895288147533575968257362315522901684527063941769208331822918829068219<85> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1799480270 for P30 / December 19, 2022 2022 年 12 月 19 日) (Eric Jeancolas / cado-nfs-3.0.0 for P58 x P85 / December 16, 2023 2023 年 12 月 16 日)
73×10222+89 = 8(1)2212<223> = 23 × 3 × 490117 × 777419904389<12> × 2151557564977<13> × 70538990452097<14> × 6238822284369817113967<22> × 42817389770735989458631313016239<32> × 54265168403566052964261086393729<32> × 403169359368848825414808780778535429893769607395234928676492137211721790588833917839816616027<93> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:512969251 for P32(4281...), GMP-ECM 7.0.4 B1=1000000, sigma=1:4085081089 for P32(5426...) x P93 / December 19, 2022 2022 年 12 月 19 日)
73×10223+89 = 8(1)2222<224> = 23 × 17 × 131 × 4620793 × 1253268923<10> × 7995035032445190821000983<25> × 6470322994600734498197410453790881695443<40> × 15197180801046657010977654741546327222755855293115136720388871392696167727999890431461468174806184306133673443499438186394091271979872070877<140> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:350970340 for P40 x P140 / January 4, 2023 2023 年 1 月 4 日)
73×10224+89 = 8(1)2232<225> = 23 × 7 × 466637 × 38481482912636706193047267683<29> × [806605822720059697014851126423110561696589177804161739947446155636501387130711937245975723924323692173803006955942476074068286310500965206495417503280109837468529721028919906853744439502537<189>] Free to factor
73×10225+89 = 8(1)2242<226> = 23 × 32 × 13 × 433 × 3110229743698141608958700210857904484917<40> × 6434638235845214408288627938595682974339792106554386664982744105083725917459689744021070045711898672565111142670179758904233357618407251376489060360089201957370304325833622587138897<181> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:302628061 for P40 x P181 / January 3, 2023 2023 年 1 月 3 日)
73×10226+89 = 8(1)2252<227> = 23 × 19 × 292 × 41 × 53 × 1365907 × 40890779 × 261082893323773<15> × 432116077683008948206791951495625006379<39> × [46339963074334993641269592332045484449959155107017919449773908199796091936276783638416391528520139227601961361194696444570662759335453454682048630324217<152>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3764845266 for P39 / January 3, 2023 2023 年 1 月 3 日) Free to factor
73×10227+89 = 8(1)2262<228> = 23 × 16963 × 57493 × 110804017806583161547<21> × 158115816722555095505814821<27> × 2462145254546744756375321056775224913<37> × 2410062116156829339214341168785578349141314640805822556832498571666278308020667857340589091750244915916069966546975237809204286914357441<136> (Dmitry Domanov / for P37 x P136 / January 2, 2023 2023 年 1 月 2 日)
73×10228+89 = 8(1)2272<229> = 23 × 3 × 89 × 401 × 25460618857<11> × [371933908626914889646535175947364993112547416933467197348364738283146286596997317308085685603720684882745097283504730584802016239474161074145122312876431607545332028685980494414246837203161708760485568275827548131<213>] Free to factor
73×10229+89 = 8(1)2282<230> = 23 × 14352266045917<14> × 66070004644817963296211283779982137206127<41> × 10692162489081044462713600061948375632234077081107663423029348107982866979935436352939375376754965133933346841885131093929821144367136018306616435956755673482038243084606088771<176> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:2090891034 for P41 x P176 / January 24, 2023 2023 年 1 月 24 日)
73×10230+89 = 8(1)2292<231> = 23 × 7 × 103 × 170904551 × 41392258196627398963990046117149380815534600131<47> × 19878442362298672101262277175103948180473624667034078045068511666258184841564738874803166751346620582796367684773003169053163654859477014525574151976895782938541452706100389<173> (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P47 x P173 / March 18, 2024 2024 年 3 月 18 日)
73×10231+89 = 8(1)2302<232> = 23 × 3 × 13 × 41 × 40943508649<11> × 5589028670907178070503<22> × [2770897786462890365931370361982193792566699023422413039293572183804163668711164944739997271273919848518062323027305275234069203126051082901903534730598626471061648409028459218500333308733709470713<196>] Free to factor
73×10232+89 = 8(1)2312<233> = 23 × 16427 × 130077442129<12> × 125793155048671944638252318558239<33> × 2627540579843662256213791397599168879<37> × [14355676938119069568522325921439950833493671009632021481471797352104714870181688336634263832789562864770260457464254067043866048689049892573152497643<149>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2243143852 for P33, GMP-ECM 7.0.4 B1=1000000, sigma=1:689644402 for P37 / December 19, 2022 2022 年 12 月 19 日) Free to factor
73×10233+89 = 8(1)2322<234> = 23 × 7523 × 15427 × 77278151 × 380181741980303<15> × 16420987570392228151<20> × [1810800356602727966914304661137862032333347320979074748990674677022499266544762301261828004938882332855053212601011703482002343209915439205834883374489301007500142452972512692624894303<184>] Free to factor
73×10234+89 = 8(1)2332<235> = 23 × 35 × 277 × 9461 × 27061 × 90017 × [653580222956801200273211552217413569079813420137569041741187927496251722829701568224906353908077814199597395110699924147669142837716767507282259505617747398819303897114983868557108365396423398835078205757713638783407<216>] Free to factor
73×10235+89 = 8(1)2342<236> = 23 × 457332847 × 4008090469049<13> × [5531213894786711380742272980267562139224374620886217656312655681268913966820005202497573183099131001221595489181510758899650709053945216529786641055080987220309485902267655544680403935366147424073641917815420360463<214>] Free to factor
73×10236+89 = 8(1)2352<237> = 23 × 7 × 31 × 41 × 5303 × 11123659 × 375320629241183<15> × 2180461099987328451963234154419667<34> × 236062335836608946625564327874385629192953713300566194911431519133959809078771510232268038531472107650465456995414292100247091557234379696478211635365771028186734338963350721<174> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:542468658 for P34 x P174 / December 19, 2022 2022 年 12 月 19 日)
73×10237+89 = 8(1)2362<238> = 23 × 3 × 132 × 331 × 6493815047<10> × 2588015120156771869169645453<28> × [359490721870628219771105050947281624842764220628398522479908428496081697757741796811296283213872367426572857144952544650366568789789948178588093994263330585653927754408286350817702001364740802787<195>] Free to factor
73×10238+89 = 8(1)2372<239> = 23 × 197 × 3308161091843129223036593<25> × 22822321262358603298167977<26> × 1338329390192426131761331929451207<34> × 509348062172283665044637331614737986924893625738603069974441619545412166858028545307216234593687665688822699638745301410468707192058051342471435280181931<153> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1767354147 for P34 x P153 / January 4, 2023 2023 年 1 月 4 日)
73×10239+89 = 8(1)2382<240> = 23 × 17 × 23 × 53 × 67 × 346064599008528341<18> × 105426631277625637037273<24> × [2001499239149953559340782467533011429659050415863412460317958762632767778069882380435081231336085437228105411333807925360688706101067981356992874761492603212181895664028366827279267892668932453<193>] Free to factor
73×10240+89 = 8(1)2392<241> = 23 × 3 × 46601 × 4287848083<10> × 100467322330539810162103<24> × 16834865661687019475850997058918558622266059446099861933035748190222540606199247553870339287745685483255471286380853952586571918717023068379447267824438426621923245470471464535534843054363402785162236687<203>
73×10241+89 = 8(1)2402<242> = 23 × 41 × 127 × 81773 × 965342994893657<15> × 2747417715661350644937119<25> × 284114225153969785684150561339<30> × [31600469314892543827098252159434445328277192542411192938453247650517068476740979685628955076026829991890128372406597945955704006865553483401586523216825326524054727<164>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3768177907 for P30 / December 19, 2022 2022 年 12 月 19 日) Free to factor
73×10242+89 = 8(1)2412<243> = 23 × 7 × 1394683 × [10385246671915398787383317201204133216640718345406794323143056152636107364171017345251203411086337887625348646957141503930989426976687164127607583217209203902954382454025025132581473341344939407007991768829894769624442962398612535597069<236>] Free to factor
73×10243+89 = 8(1)2422<244> = 23 × 32 × 13 × 1471 × 1082173126037<13> × 4539384244086389827<19> × 8949957775635079260798246795311333<34> × 133991470133796900317356231334235888509397733635499001983976478867751289715217899808993579483921735789469049480724781635177199127980044600860595264544285547725777529224105681<174> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2137022067 for P34 x P174 / December 19, 2022 2022 年 12 月 19 日)
73×10244+89 = 8(1)2432<245> = 23 × 19 × 854111369 × 121991977308109<15> × 61243258867849021871<20> × 9043220770042587714793691877149343612143<40> × [9247185373391162247069717763150443850171231282032891704060114618764427709194269892826345788063614590667748358745874786936620349643148354250163394114839550098487<160>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1207393702 for P40 / December 19, 2022 2022 年 12 月 19 日) Free to factor
73×10245+89 = 8(1)2442<246> = 23 × 691 × 429354487 × 1919208119<10> × 14906513423999<14> × 4186652926019443530179<22> × 120662933557992915804076683707640013<36> × 1465610416621546629825149263963227841013874372737<49> × 55075968241264002816718412123029922002891167755912179<53> × 292938625754452219728994202714213565251965333412994217<54> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:3925251275 for P36 / January 16, 2023 2023 年 1 月 16 日) (yoyo / GMP-ECM 7.0.5-dev [configured with GMP 6.1.2, --enable-asm-redc] B1=110000000 for P49 / May 14, 2024 2024 年 5 月 14 日) (Dmitry Domanov / Msieve 1.54 gnfs for P53 x P54 / May 15, 2024 2024 年 5 月 15 日)
73×10246+89 = 8(1)2452<247> = 23 × 3 × 41 × 43531751 × 4460206117<10> × 53240622608444343111181<23> × 64031784538741885462459<23> × [12453328828470744769242211842201318312732944055694531140140144285954724662303769106961469969049324449137368043559967395345565086340324072639460930309398882335362440603521489086929751<182>] Free to factor
73×10247+89 = 8(1)2462<248> = 23 × 915871711 × 591586748624655841<18> × [18712735603112519442637625859529769226255559739627661978173187749795598501208324362517746078747425072085707123247530806423882567474970950894402858990954533746861282656829333440991465412176031819797952199864748386991184839<221>] Free to factor
73×10248+89 = 8(1)2472<249> = 23 × 7 × 458527991 × 1764208183<10> × 5058212519<10> × [3539806862960425568396704128926096572103491780879924077132391697938923408969557937035452952359651131504155558118183348926102541129841262772474703218241260774251421689698009653033717272836586153392311110558285969601937561<220>] Free to factor
73×10249+89 = 8(1)2482<250> = 23 × 3 × 13 × 151 × 13674221324521692465191941001<29> × 12590593556233951917362410118529851742933469271113605216146224195342775178495747433237247467463881893172541257227460481254852236145316975289871944924579184789960680575337020651336025277805077917574196306496797971006001<218>
73×10250+89 = 8(1)2492<251> = 23 × 203115634975471<15> × 15497912939488992167<20> × 56134537415367954199<20> × 238191651626941678707241<24> × [240889077241603344819597553675612658719757882968958256924057772043267723731953321954937747604549951895187835344650777152298628078205602818761045099850548572980084174722251903<174>] Free to factor
73×10251+89 = 8(1)2502<252> = 23 × 31 × 41 × 15085243 × 11759943287<11> × 6449797896473<13> × 15242196967497465509385607<26> × 114953027206840353338202117517451268225786824329<48> × 39789931091235064738639186464047327250234166421126835376305389762580157432518560050204243859845335561782176391622755836930232754640126252962144221<146> (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P48 x P146 / March 14, 2024 2024 年 3 月 14 日)
73×10252+89 = 8(1)2512<253> = 23 × 32 × 53 × 1988916927133186027<19> × 1068698846686330829501471753402954339290006790739666466256317314779265935463218560208426625833048581376776379175668980123120214991471409750319221952947395050660475409950874176112757673153634930848318444043661935445651009643035913191<232>
73×10253+89 = 8(1)2522<254> = 23 × 109 × 1699 × 9237078792491244274451964000157916040571<40> × 5927012439093201589611127781829843987358321115844893802424468816519782551975228811570150959613525855482390112086505623141424302468183971065858353805700529176272596553185263038995595358673381281035437732515949<208> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:758832408 for P40 x P208 / January 3, 2023 2023 年 1 月 3 日)
73×10254+89 = 8(1)2532<255> = 23 × 7 × 29 × 42697 × [11697605326488240817197143774235114739535222925398929042890138436704334494133179819729710580476967197184155009666452366537085402094895614992722679364638381382673358286600919330506243258734146812369218368832328627614252946889577259311707262100288179<248>] Free to factor
73×10255+89 = 8(1)2542<256> = 23 × 3 × 13 × 17 × 269 × 313 × 135841 × 53363640478039<14> × [2505554755912065157867612814628033786036627058155486429911384343606482043221561338739891141781801062354789808047860923073217866587622937687519548591947060553545906382374642465074153828046823402661598855816886803847590139821889301<229>] Free to factor
73×10256+89 = 8(1)2552<257> = 23 × 41 × 1997 × 3517 × 25253 × 185923 × 3321652978796179<16> × 66059318633233410592801352374297241497<38> × 34176031247230181310381257715688613893141974820227204798354802520929697232282846600334657894756945477915207042767763104467014835699494651795052761922639666356007347212823838314190147893<185> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3185591498 for P38 x P185 / December 19, 2022 2022 年 12 月 19 日)
73×10257+89 = 8(1)2562<258> = 23 × 1529615377<10> × 6765069615649<13> × [9797964301573122145069623772981990786921472841256002719384569522698288889903621287643193085892277642219856984971287604548782424080751496401553651965241195260056990889689354075867822337783768492745618275847491145333536577605442434989193<235>] Free to factor
73×10258+89 = 8(1)2572<259> = 23 × 3 × 37861 × 1708774238704430714507578021493<31> × [5223869756507815076613117336965780811333574447414284726087248868944875156209076132167198151910798524483640785357827620661631311388720023167991298315505456590833246194958445146826137492949948686543327913944345189432561975131<223>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1938668789 for P31 / December 19, 2022 2022 年 12 月 19 日) Free to factor
73×10259+89 = 8(1)2582<260> = 23 × 824363689273<12> × 59546749218267328606440708907<29> × [206544413112747289212040877658010095696037693219047237507810761477075414898484274221877104634871190281543413475057753873590337794917057057040220099414201180245610972662844865882651495142985957871108057916943787329658499<219>] Free to factor
73×10260+89 = 8(1)2592<261> = 23 × 73 × 8699 × [33980276841877166568486940755862119096457549622468883655367675346514105836664610720272759775306396897900495546014266204951974604127912859153372372109688854986813232072480731134904380245740148708118284729248691796580247281829213601807683698400670325662877<254>] Free to factor
73×10261+89 = 8(1)2602<262> = 23 × 33 × 13 × 23 × 41 × [3063173205744196671497248850848473801225067868169081789913650406168374826322275361983150365382013785454341599033480734906444815717821491357487587015099681530693666901985506910686597266071756468834352656669140703546264993183810198067297160027217762577724873<256>] Free to factor
73×10262+89 = 8(1)2612<263> = 23 × 19 × 2512821602425544417699911133429<31> × 6301094225822581541404161267036748425147013020043<49> × [33702268304386985139151963675066662081796959418662050392698092475337386961395310567000879098916987482255034805411933919974924002233616355918634003244209010937505187351799997515694373<182>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:580104498 for P31 / December 19, 2022 2022 年 12 月 19 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3668157600 for P49 / January 23, 2023 2023 年 1 月 23 日) Free to factor
73×10263+89 = 8(1)2622<264> = 23 × 233 × 10273 × 93229 × 25709374547922859<17> × [17672362744250246334817560831665739317313570957373558083043872535031257230911988202059210781773570504261687123873367148245507024284657716105439109736534000200675172605647739831311427812025202452027684776122255378532566252153833509506111<236>] Free to factor
73×10264+89 = 8(1)2632<265> = 23 × 3 × 47 × 103 × 5323 × 15536405422103317207<20> × 34904198335428626658107<23> × 11263922383602247253520333589291967723<38> × 2147136711723260890551135051052225532376328019398632851629542350533889810913681676885971882169367726618842222343420159439190692240617159418278939674802221254854709959684421514783<178> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:785662713 for P38 x P178 / January 24, 2023 2023 年 1 月 24 日)
73×10265+89 = 8(1)2642<266> = 23 × 53 × 77386952598331639<17> × [2471990224880858043538053630753423597886948094368438288131372389901267962260501399024921014511024889282564164352582504626280234950031298920757716732944951614331852663967445515115748733851059141425576521158998453705701075230553723278885944141876467<247>] Free to factor
73×10266+89 = 8(1)2652<267> = 23 × 7 × 31 × 41 × 241743322627<12> × 267350744161<12> × 3192496077871<13> × 973249054062797194051601<24> × 5210454638378705839899223423<28> × 239261196827092313106703658939<30> × 45520668997340596658421923529854672920005490175155711300074117676275577812608921717459987719112913288218660557742742997891721695673138456430727433<146> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1157002789 for P30 x P146 / December 19, 2022 2022 年 12 月 19 日)
73×10267+89 = 8(1)2662<268> = 23 × 3 × 13 × 59 × 87721 × 441517 × 110635736960295909717193063<27> × 2722550248436071173191036453447<31> × 11401679181425175964544866913036441662147<41> × 94334164820330528223824892159108202501111112409842567<53> × 35116690367276684971082058124496224858852458497762698406968829777844022532072300434926697196643881049893<104> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2042235426 for P31 / December 19, 2022 2022 年 12 月 19 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:2740064034 for P41 / January 16, 2023 2023 年 1 月 16 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P53 x P104 / March 17, 2024 2024 年 3 月 17 日)
73×10268+89 = 8(1)2672<269> = 23 × 29297 × 966401 × 13941799 × 713306767 × 10980114831431<14> × 114688262772149267<18> × 215138336047311883053911513<27> × [132914088995550782983799946229658679642620402225461585109534695700753566438724697078726531960156693632448873809962660390127313734469310537024082136761711045805726721179827812637914543189<186>] Free to factor
73×10269+89 = 8(1)2682<270> = 23 × [101388888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888889<270>] Free to factor
73×10270+89 = 8(1)2692<271> = 23 × 32 × 167 × 63737 × 102176897 × 642946377709313527922113<24> × [161106217636980781308084860907091493160166456373702197989626214662352140780169635946459983526129223868342775471829545374179436065250925276232424624860130220840933402620716479457469806497856677873167203068056493868347470654451203359<231>] Free to factor
73×10271+89 = 8(1)2702<272> = 23 × 17 × 41 × 17353649 × 14322845546177560281518621<26> × [58524467106179055953367203935825011768051420048234428147123331001297337565999050985612133647658829982960272046151558288322797476428989002179351124483887203653694704919135605179301755714736324586324367408169514889125180806641860508989253<236>] Free to factor
73×10272+89 = 8(1)2712<273> = 23 × 7 × 67 × 89 × 50608374474109004377860269726155163<35> × 47996009011922456705378978003820445728725669514630269844839218520932185685365938310199739356700835886891400572581552005545779510515327315825242925295584561185218631909141060624117553098837197359977026475997549310407811494266807025383<233> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2426108718 for P35 x P233 / December 19, 2022 2022 年 12 月 19 日)
73×10273+89 = 8(1)2722<274> = 23 × 3 × 13 × 1213 × 5765970151573<13> × 107744594496175499<18> × 11072725263370591901<20> × 29836903577416322908747063987<29> × 104421228857788728970701130122563307164159942951180712009103856062173587608398664751856606759050881089797173161208801997629735374201391924310893716334348306714523111236910193051180433071903323<192>
73×10274+89 = 8(1)2732<275> = 23 × 29483 × 948479005642150526272319468582825722614119<42> × [362569250598042688238717089180827168339309460316537414871055270120989513609399122478079671404900931590791729963288424096864089742730370161656815665342296370006866981071178075672056864399311654657190264382854130087965131445312157<228>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3094840562 for P42 / January 15, 2023 2023 年 1 月 15 日) Free to factor
73×10275+89 = 8(1)2742<276> = 23 × 61 × 113 × 16557773151793<14> × [888341920770840366424188588219575930212757187078289352633849113058734634620233753609086287387942855631932549990837232457869873750723067509175492321244789877507212649501428503659989759662406543922789048804031685108115409017647594142316127154160628628190149261<258>] Free to factor
73×10276+89 = 8(1)2752<277> = 23 × 3 × 41 × 28026096637183<14> × 2593265528275151489129349257209<31> × 113416345666362831901460740453916839246637496858310531284743594362179123657110914004045482163992342362182672620384521819862936429468821249363039877947143046066344292028522462992643033389802371612256829171351899335249097714478390669<231> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1079735062 for P31 x P231 / December 19, 2022 2022 年 12 月 19 日)
73×10277+89 = 8(1)2762<278> = 23 × 194783363 × 336438749 × 18395841342371075294389024431792223<35> × [8410326173693988160525067237601830219496084639370406184498026881369577971866004276083844386823327947794170075191395028372349083822074886735286564880051421804423609047220997814093333739612226447828637526775557860226554114544689<226>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1747115588 for P35 / December 19, 2022 2022 年 12 月 19 日) Free to factor
73×10278+89 = 8(1)2772<279> = 23 × 7 × 53 × 177492229 × 14615211928061295086473997<26> × 354300344376079990063786493<27> × [297344848631212832919116142458354372248213376047499457754775741359914561362263567860698747174920778905546833935642071101549407001825504170582380442634471761689455444539620841166739328156597956142061329187057279334751<216>] Free to factor
73×10279+89 = 8(1)2782<280> = 23 × 32 × 13 × 41586507835309859434338523245036353158481<41> × [208378088234004861041176802784826037853099029014647002838832796197839697503081637833644951259971279913636855393606580225283844800352581709455025507885389266188065025988923226520687559925550896317160059530749807304029833934681266779048357<237>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:787013621 for P41 / January 14, 2023 2023 年 1 月 14 日) Free to factor
73×10280+89 = 8(1)2792<281> = 23 × 19 × 4463 × 52163 × 88211 × 3265589 × 24095513549<11> × 330237857845580927876782912970397010841295202075749171989719938919649592000439517138602283917497770617902655026501434579319693255888746051385957166798380602821791275232356060962957676581319545406219972255425547320283958316970092682775609891717004069<249>
73×10281+89 = 8(1)2802<282> = 23 × 31 × 41 × 19955120573<11> × 426850324515623422983686527851933292331<39> × [9365152225180851804023233037386082874470634609512289382905081196140419952836218759910644216246588108259774130691021950567468829069226334021905788948546344623624146825385426439215852735758629736074922228799952405149557865257486193<229>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:221667219 for P39 / December 19, 2022 2022 年 12 月 19 日) Free to factor
73×10282+89 = 8(1)2812<283> = 23 × 3 × 29 × 6947 × 1425371 × 114031453 × 34130621452423<14> × 69224276089305989381447<23> × [4368361960237280294627463747547596043370063465517245718374674268279475341059322436608034615344916393216986433629908053541911723598490251083355149317101417550391082083044520498246457229369379266189703901084368217972354342298267<226>] Free to factor
73×10283+89 = 8(1)2822<284> = 23 × 23 × 127 × 3471033512115333409410780174217353265624405644946555593594278975997565521701091711362166685686028376887671649739434744569972231731903077332724713758606261173875004754840427555251245768192019475826391266309102666514511772984898626802084522043440222146144775381338202289931149910609<280>
73×10284+89 = 8(1)2832<285> = 23 × 7 × 2437 × 71854822677544296794940326561<29> × [82714352145882152434904805821562688226999283917399395994072450110606663204602071760040905227970125008392707787928622277598486441452646901371436905528461252920137980030152057952226890438670887035483070463092623142133966061693540843571049496080152376211<251>] Free to factor
73×10285+89 = 8(1)2842<286> = 23 × 3 × 13 × 17579 × 26879 × 8444593 × 6515380148895386433662202696769406528720448740271550088450816921071575087920257468384874433439620955165666970215670458847099644625139812605925147217504455469033190592101903539508586629633096021953407775096246909102068200020838524949277154428455248215458765946380420627<268>
73×10286+89 = 8(1)2852<287> = 23 × 412 × 97 × 2237 × 6271 × 23749942841621099358889<23> × [186631764611361750496883513735696558069703218062848610032944548234011559277964230331334175856119142272740748098109921096710494697701674347791768316841193655938951165856221469857791187508410113523748209896858965681992303377022077057578370615982881872459<252>] Free to factor
73×10287+89 = 8(1)2862<288> = 23 × 17 × 45341 × 8153083863507242701236193<25> × 768270845260102266361440066449157521<36> × 20999748126894470920201883239959358311056157825844604356380509971987887818924014660013703454308146043042799946638260083733067192930836483409305360198068084413893857573699904641848065657931476746059152849705006221942180429<221> (Dmitry Domanov / for P36 x P221 / January 2, 2023 2023 年 1 月 2 日)
73×10288+89 = 8(1)2872<289> = 23 × 33 × 59209 × 3082993 × 12182367257<11> × [16886305683686320976853360146795038893322276398277165793739923818814160839686460297374679256323123452048129498956691272876077267435888653413800074862471838296917584110653305173584044411146572423416824286455427057823682953313892882506505756708257045446648882727786123<266>] Free to factor
73×10289+89 = 8(1)2882<290> = 23 × 181 × 4815857 × 162354280194274153<18> × 989357599080100879<18> × [72413771909558884176195647515803033211321811436338292288148716315639276157323820484820979023420435448490339773328997341639367356013493205546640496450687044366401729654145846761869728459327983874236866808361722874293892107181713838190870722202291<245>] Free to factor
73×10290+89 = 8(1)2892<291> = 23 × 7 × 9533 × 1765703 × 213588716663369<15> × 384130185117981138914509168369<30> × 496763951867220771407579046143<30> × [21112431842779657447702715592094440427143132495094283375682721571501053081034326797018860721131382639917573190433063954755801205906581331716903985397338616654662944020795257831940928026920542206773283482651<206>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:726640336 for P30(3841...), GMP-ECM 7.0.4 B1=1000000, sigma=1:810480518 for P30(4967...) / December 19, 2022 2022 年 12 月 19 日) Free to factor
73×10291+89 = 8(1)2902<292> = 23 × 3 × 13 × 41 × 53 × 11963714218661296433960953058974227865162057522849055292681615737299124321673792451519096710076921765831107754715670040106303336860170730396225104002370454280256397145490564726643879888242520548088886791141738219510884029982051150942085134445925978369604692660376047398596869374596019787<287>
73×10292+89 = 8(1)2912<293> = 23 × 162726721 × 1031788500235188833<19> × [60386631892249586221000585639263517699629195634408445889217581951617131474813542419641454785813136630272599027465370231975059083436992406088294743623538358479020001963351364778857774574660512313087129195665897062690669950249838023676384567378357627961100481716773273<266>] Free to factor
73×10293+89 = 8(1)2922<294> = 23 × 223831 × 298347236917476031<18> × 1299355881310683934734730034005487559221<40> × 726757076975369708821092046702070785194361<42> × [1607795180861369875544246067441724376280203647850743216469946339901182885899692653729983396609826018763675781101683400524234329341477793229803773391250730606299591744352512558505374854499029<190>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1909377902 for P40 / January 3, 2023 2023 年 1 月 3 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3514780086 for P42 / January 22, 2023 2023 年 1 月 22 日) Free to factor
73×10294+89 = 8(1)2932<295> = 23 × 3 × 13947269173<11> × 451352740997<12> × [53686345525870684087043940867804095512349121123748835350668392305396452680426599459492632553557757577847527467339887790200711393167597220691771090128565582116040615869880082794776762428081396674284539113092552582592327170538089963739900081745888050615331425120851553044923<272>] Free to factor
73×10295+89 = 8(1)2942<296> = 23 × 1600141 × 336923152201360038748607<24> × [18806208870996635549194908367816171170227593283231729204268825422709150281939069572302033618278577292133915612412359862874618502004246106719657815800930515563906305536914312056231161597578927623431717868505157541079013984925316672304450952083423580204327723581566947<266>] Free to factor
73×10296+89 = 8(1)2952<297> = 23 × 7 × 31 × 41 × 157 × 191 × 1286777 × 12252540579749<14> × [24103733349019022391290639776159302192711050183754265917425168780300175663988320688253054682953507587046925574050557905151844901476516389360548033268012925701372790624629899005799089424987625513880939741936465591193111274389868317796275847802953423534152779350589688687<269>] Free to factor
73×10297+89 = 8(1)2962<298> = 23 × 32 × 13 × 3096645577<10> × 6554155506315900191639813<25> × [426968916150349527999953646382313228261147306160624268643086281422891491781976251376987317861997463083124462255473378962954688053116252980186818440779135622945636544596614932959369726805101395686311981089420401887689621995113752340258277408661588718622238695017<261>] Free to factor
73×10298+89 = 8(1)2972<299> = 23 × 19 × 103 × 569364376885191125078201<24> × 9099326459606959975426967272615073441637539512705294440245106782020025863841237429819521206059072899520727179636378241976854515051148331681854328565108652651445917577933853981937986881143494876531119928801062353164128416108784284378337809107733945857321455367652216591277<271>
73×10299+89 = 8(1)2982<300> = 23 × 821 × 12829 × 483611 × 19904818912293695604826686901128127542538727359969105340807843017161553890934092573513979417185938610930305687376082567747222400093041367527253243072959757653770159045642757273242427220649087174298342503370307264114247477122411172217557789029720748692626071553076417367485426903180913211<287>
73×10300+89 = 8(1)2992<301> = 23 × 3 × 190592429 × 31681803359652529621446211<26> × [55969776146599830073324119758279633894746724871351152507641148105766208643064868009171940955582511676524633454780307832415818976422990582715467104148427540559225508009219253993886894837792492983661310318877539867940497954755353332113904273759389129174299197761029077<266>] Free to factor
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