Table of contents 目次

  1. About 588...884 588...884 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
  2. Prime numbers of the form 588...884 588...884 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 588...884 588...884 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 588...884 588...884 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

58w4 = { 54, 584, 5884, 58884, 588884, 5888884, 58888884, 588888884, 5888888884, 58888888884, … }

1.3. General term 一般項

53×10n-449 (1≤n)

2. Prime numbers of the form 588...884 588...884 の形の素数

2.1. Last updated 最終更新日

September 9, 2022 2022 年 9 月 9 日

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

No prime number of the form 588...884 exists. 588...884 の形の素数は存在しません。

3. Factor table of 588...884 588...884 の素因数分解表

3.1. Last updated 最終更新日

October 23, 2024 2024 年 10 月 23 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=208, 216, 217, 218, 226, 227, 228, 229, 230, 232, 233, 234, 235, 236, 237, 238, 239, 243, 244, 247, 248, 250, 251, 252, 253, 256, 260, 261, 262, 263, 264, 265, 266, 268, 270, 273, 274, 276, 277, 278, 279, 280, 282, 284, 285, 286, 287, 291, 292, 294, 296, 297, 298, 299, 300 (55/300)

3.4. Factor table 素因数分解表

53×101-449 = 54 = 2 × 33
53×102-449 = 584 = 23 × 73
53×103-449 = 5884 = 22 × 1471
53×104-449 = 58884 = 22 × 3 × 7 × 701
53×105-449 = 588884 = 22 × 147221
53×106-449 = 5888884 = 22 × 31 × 47491
53×107-449 = 58888884 = 22 × 3 × 17 × 127 × 2273
53×108-449 = 588888884 = 22 × 147222221
53×109-449 = 5888888884<10> = 22 × 59 × 601 × 41519
53×1010-449 = 58888888884<11> = 22 × 32 × 7 × 73 × 3201179
53×1011-449 = 588888888884<12> = 22 × 147222222221<12>
53×1012-449 = 5888888888884<13> = 22 × 1472222222221<13>
53×1013-449 = 58888888888884<14> = 22 × 3 × 29 × 169220945083<12>
53×1014-449 = 588888888888884<15> = 22 × 8392507 × 17542103
53×1015-449 = 5888888888888884<16> = 22 × 19 × 71 × 953 × 14369 × 79697
53×1016-449 = 58888888888888884<17> = 22 × 3 × 72 × 8378119 × 11953897
53×1017-449 = 588888888888888884<18> = 22 × 929 × 2917 × 54327688297<11>
53×1018-449 = 5888888888888888884<19> = 22 × 73 × 46457 × 434109557261<12>
53×1019-449 = 58888888888888888884<20> = 22 × 32 × 1031 × 1201 × 1321080209699<13>
53×1020-449 = 588888888888888888884<21> = 22 × 23 × 43 × 148859678687787889<18>
53×1021-449 = 5888888888888888888884<22> = 22 × 31 × 47491039426523297491<20>
53×1022-449 = 58888888888888888888884<23> = 22 × 3 × 7 × 701058201058201058201<21>
53×1023-449 = 588888888888888888888884<24> = 22 × 17 × 8660130718954248366013<22>
53×1024-449 = 5888888888888888888888884<25> = 22 × 152501 × 9653852907339769721<19>
53×1025-449 = 58888888888888888888888884<26> = 22 × 3 × 67 × 89 × 613 × 49279 × 743263 × 36654089
53×1026-449 = 588888888888888888888888884<27> = 22 × 73 × 191 × 10558862671033652888347<23>
53×1027-449 = 5888888888888888888888888884<28> = 22 × 1213 × 222601 × 722921 × 7542140462177<13>
53×1028-449 = 58888888888888888888888888884<29> = 22 × 33 × 7 × 61 × 1171 × 7810659589<10> × 139616621371<12>
53×1029-449 = 588888888888888888888888888884<30> = 22 × 4183991341639<13> × 35187028414009739<17>
53×1030-449 = 5888888888888888888888888888884<31> = 22 × 1472222222222222222222222222221<31>
53×1031-449 = 58888888888888888888888888888884<32> = 22 × 3 × 937 × 207344497 × 25259224316525645063<20>
53×1032-449 = 588888888888888888888888888888884<33> = 22 × 317 × 433 × 1072571394804221317214811361<28>
53×1033-449 = 5888888888888888888888888888888884<34> = 22 × 19 × 1189277 × 61056833 × 1067093499106558699<19>
53×1034-449 = 58888888888888888888888888888888884<35> = 22 × 3 × 7 × 73 × 2239 × 4289208128984937369306614383<28>
53×1035-449 = 588888888888888888888888888888888884<36> = 22 × 5004679 × 29416916094363339231591521099<29>
53×1036-449 = 5888888888888888888888888888888888884<37> = 22 × 31 × 6179207274573419<16> × 7685620066823512889<19>
53×1037-449 = 58888888888888888888888888888888888884<38> = 22 × 32 × 443 × 3692556363737703090600005573669983<34>
53×1038-449 = 588888888888888888888888888888888888884<39> = 22 × 5265829 × 707557078654207<15> × 39513466947358007<17>
53×1039-449 = 5888888888888888888888888888888888888884<40> = 22 × 17 × 47 × 44699 × 11989699609<11> × 3438115639296042068369<22>
53×1040-449 = 58888888888888888888888888888888888888884<41> = 22 × 3 × 7 × 2433245724085597<16> × 288116483312286774855533<24>
53×1041-449 = 588888888888888888888888888888888888888884<42> = 22 × 29 × 43 × 809 × 585421720830827<15> × 249281220175053003601<21>
53×1042-449 = 5888888888888888888888888888888888888888884<43> = 22 × 23 × 73 × 12569 × 6266468501<10> × 11132663585934963154165871<26>
53×1043-449 = 58888888888888888888888888888888888888888884<44> = 22 × 3 × 4907407407407407407407407407407407407407407<43>
53×1044-449 = 588888888888888888888888888888888888888888884<45> = 22 × 19577 × 119107 × 63137872241118879898449957378793639<35>
53×1045-449 = 5888888888888888888888888888888888888888888884<46> = 22 × 227 × 702566129 × 16927060343<11> × 545354323826754481276409<24>
53×1046-449 = 58888888888888888888888888888888888888888888884<47> = 22 × 32 × 7 × 1619 × 6011 × 15889 × 1511272144621902477224159972781667<34>
53×1047-449 = 588888888888888888888888888888888888888888888884<48> = 22 × 2897 × 5843 × 48271 × 76679 × 288241 × 22799719039<11> × 357553472269561<15>
53×1048-449 = 5888888888888888888888888888888888888888888888884<49> = 22 × 97 × 107 × 2711 × 688627 × 75980875345860970452735029818401067<35>
53×1049-449 = 58888888888888888888888888888888888888888888888884<50> = 22 × 3 × 127 × 1791054631<10> × 245461981663<12> × 87893209649142801338255897<26>
53×1050-449 = 588888888888888888888888888888888888888888888888884<51> = 22 × 71 × 73 × 113 × 10009 × 689093 × 36445607103066611971263712887386527<35>
53×1051-449 = 5(8)504<52> = 22 × 19 × 31 × 313 × 1999 × 3994854281565139177209205453853334186803047<43>
53×1052-449 = 5(8)514<53> = 22 × 3 × 7 × 4421 × 337793 × 1161829 × 404055200737787848332285831217896673<36>
53×1053-449 = 5(8)524<54> = 22 × 647 × 60943 × 3733750201330151186252312596814557637858180101<46>
53×1054-449 = 5(8)534<55> = 22 × 683503 × 9902509 × 217514241894041041969496538568182323259823<42>
53×1055-449 = 5(8)544<56> = 22 × 35 × 172 × 4567252705199791<16> × 45900161200928284767964558307003153<35>
53×1056-449 = 5(8)554<57> = 22 × 131 × 379 × 9591467 × 309156104449050308081946732298847727243800087<45>
53×1057-449 = 5(8)564<58> = 22 × 1472222222222222222222222222222222222222222222222222222221<58>
53×1058-449 = 5(8)574<59> = 22 × 3 × 73 × 67 × 73 × 1669 × 2664345197<10> × 51099928982450011<17> × 12873398285659895622193<23>
53×1059-449 = 5(8)584<60> = 22 × 4148057 × 40647384283343295979837<23> × 873164458780917224364909387769<30>
53×1060-449 = 5(8)594<61> = 22 × 229 × 491951 × 13068208014559179099397313873337548752589688563900999<53>
53×1061-449 = 5(8)604<62> = 22 × 3 × 1451 × 4481 × 6803 × 110945396553277703171787668872759917945219816107999<51>
53×1062-449 = 5(8)614<63> = 22 × 43 × 179 × 4933 × 282605107021<12> × 8714177820712086491<19> × 1574469830115815063605511<25>
53×1063-449 = 5(8)624<64> = 22 × 59333 × 195311 × 2504581799<10> × 844228205431487579<18> × 60083507772937067091047827<26>
53×1064-449 = 5(8)634<65> = 22 × 32 × 7 × 23 × 10160263783452189249290698566060884901464611609539145771029829<62>
53×1065-449 = 5(8)644<66> = 22 × 3499 × 21617 × 26586106096583879<17> × 73211494137274265404083065166838378520753<41>
53×1066-449 = 5(8)654<67> = 22 × 31 × 73 × 112467878528331513769609<24> × 5784426561945819198237869981038140960163<40>
53×1067-449 = 5(8)664<68> = 22 × 3 × 59 × 1049 × 1943093 × 3839677 × 305839618988791<15> × 40455188914228177<17> × 858950935854366451<18>
53×1068-449 = 5(8)674<69> = 22 × 208875404623<12> × 704832732642429406317216277348751322745257972795717513827<57>
53×1069-449 = 5(8)684<70> = 22 × 19 × 29 × 89 × 4180005569963609<16> × 7182157138911854382548299037907382893522524202971<49>
53×1070-449 = 5(8)694<71> = 22 × 3 × 7 × 1463690771493989<16> × 478966059437972020570562059374062745287969243864380709<54>
53×1071-449 = 5(8)704<72> = 22 × 17 × 157831 × 54869643599509908484474354818919202192897400019537734226602848923<65>
53×1072-449 = 5(8)714<73> = 22 × 1600903623343<13> × 1992673451825689<16> × 461500362493183278684119200696957655755024123<45>
53×1073-449 = 5(8)724<74> = 22 × 32 × 5003 × 18503 × 17670881221316418052058053058083568160306890708960047623112912441<65>
53×1074-449 = 5(8)734<75> = 22 × 73 × 37423 × 5507471 × 22439512939288112117<20> × 436060013581737998434013322517310634481457<42>
53×1075-449 = 5(8)744<76> = 22 × 353192298581752967<18> × 4168330476440014555800761422215221137096759718002311845963<58>
53×1076-449 = 5(8)754<77> = 22 × 3 × 7 × 613 × 1087 × 90803 × 905712113 × 2102003939043536219268064727<28> × 6086115033628851272328927007<28>
53×1077-449 = 5(8)764<78> = 22 × 149 × 50892633131<11> × 19414766828333198899111784738026382422993167563319179789431040459<65>
53×1078-449 = 5(8)774<79> = 22 × 12493703 × 117837139415129543436579389010785851258207612444622881000310494192332107<72>
53×1079-449 = 5(8)784<80> = 22 × 3 × 1429650607700963<16> × 3447371134747361<16> × 576425181212325959<18> × 1727393238161716328189063140211<31>
53×1080-449 = 5(8)794<81> = 22 × 4456731889<10> × 21289243881735652136318887<26> × 1551660209906987781862153623863535973584633947<46>
53×1081-449 = 5(8)804<82> = 22 × 31 × 639253 × 74291461168775582580041746418550231347254566341481446980340017944443634247<74>
53×1082-449 = 5(8)814<83> = 22 × 33 × 7 × 73 × 1753 × 3697 × 441502098343887889949<21> × 372927634016369508828505678311170983987354122137077<51>
53×1083-449 = 5(8)824<84> = 22 × 43 × 316470743 × 19569808312508371616409916941773<32> × 552821308846647063659153043764640795376373<42> (Eric Jeancolas / ECM for P32 x P42 / September 4, 2022 2022 年 9 月 4 日)
53×1084-449 = 5(8)834<85> = 22 × 51637 × 98319449515932443<17> × 19268302283760983039<20> × 15049756624011975196964909983084106380269829<44>
53×1085-449 = 5(8)844<86> = 22 × 3 × 47 × 71 × 167 × 22639 × 7924358899848872189<19> × 49086047128447187817015513955217454393592984835939834123<56>
53×1086-449 = 5(8)854<87> = 22 × 23 × 853 × 8677233292701814659740360160523438430587<40> × 864799097599604755004230279440885016101757<42> (Eric Jeancolas / ECM for P40 x P42 / September 4, 2022 2022 年 9 月 4 日)
53×1087-449 = 5(8)864<88> = 22 × 17 × 19 × 5527 × 297705061984852051<18> × 123376441576918737879883<24> × 22452407848056037453200526079019345868697<41>
53×1088-449 = 5(8)874<89> = 22 × 3 × 7 × 61 × 109 × 9403 × 21361619 × 398631953221161619<18> × 1316815811417973789215558452354978232456583973327679003<55>
53×1089-449 = 5(8)884<90> = 22 × 7591 × 3493519 × 6262721 × 710799109 × 53247625867<11> × 7587009802721<13> × 45481276806273631<17> × 67873115766082578723773<23>
53×1090-449 = 5(8)894<91> = 22 × 73 × 2543 × 10513 × 229357458521730350236995486533<30> × 3289005627143259097686900423964068643306534602003391<52> (Eric Jeancolas / ECM for P30 x P52 / September 4, 2022 2022 年 9 月 4 日)
53×1091-449 = 5(8)904<92> = 22 × 32 × 67 × 127 × 11351 × 23227 × 368258027 × 1980035013601181995233696918091310299114469529335507985833099404852679<70>
53×1092-449 = 5(8)914<93> = 22 × 1447 × 2269 × 2763822085109<13> × 71793649739776982855353222387<29> × 225982197265400109269268286259621572343404009<45>
53×1093-449 = 5(8)924<94> = 22 × 482934006897510661931<21> × 7153187605093780893472294609<28> × 426173032838453279832778412322012168244711799<45>
53×1094-449 = 5(8)934<95> = 22 × 3 × 7 × 26437 × 3092590735576974139<19> × 11443647203078310417647<23> × 749298722356460672052774205138199825863325888881<48>
53×1095-449 = 5(8)944<96> = 22 × 2423 × 36821 × 1650153616785463218177381866944123620332870058621065855841207607972350180426613330314287<88>
53×1096-449 = 5(8)954<97> = 22 × 31 × 10936687 × 2666189976831833880883049194532819253518383<43> × 1628676389165806591728257227596668625068513971<46> (Eric Jeancolas / ECM for P43 x P46 / September 4, 2022 2022 年 9 月 4 日)
53×1097-449 = 5(8)964<98> = 22 × 3 × 29 × 283151293 × 369451365424313<15> × 81001624577011839401612609<26> × 19970298751144873907500078356332899228794302543<47>
53×1098-449 = 5(8)974<99> = 22 × 73 × 2016742770167427701674277016742770167427701674277016742770167427701674277016742770167427701674277<97>
53×1099-449 = 5(8)984<100> = 22 × 28837 × 787513 × 11860637 × 5465847938886357708166107511137787980484833119065083280809060340998525956399820293<82>
53×10100-449 = 5(8)994<101> = 22 × 32 × 72 × 2221 × 6859063 × 76069259666024949883428501014410579<35> × 28807942360203311734826634732893553853030054519959493<53> (Eric Jeancolas / ECM for P35 x P53 / September 4, 2022 2022 年 9 月 4 日)
53×10101-449 = 5(8)1004<102> = 22 × 107 × 701451923275121011129441594692311<33> × 1961515213295122802098362815652201214473844357694920221832783753073<67> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1887024980 for P33 x P67 / September 4, 2022 2022 年 9 月 4 日)
53×10102-449 = 5(8)1014<103> = 22 × 3104333402395874693152344145607363<34> × 474247457146833758691084021784092624507745233354900606014658744640367<69> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2662204714 for P34 x P69 / September 4, 2022 2022 年 9 月 4 日)
53×10103-449 = 5(8)1024<104> = 22 × 3 × 17 × 23609 × 3368655892314022893129205570471627904015458298497<49> × 3629685114829075423952964039451949658072194073527<49> (Dmitry Domanov / Msieve 1.54 snfs for P49 x P49 / September 9, 2022 2022 年 9 月 9 日)
53×10104-449 = 5(8)1034<105> = 22 × 43 × 811 × 4221667829616672561070806131454770803263906811063637261555421736650767706312110292266860385462169077<100>
53×10105-449 = 5(8)1044<106> = 22 × 19 × 26150249 × 1431815743<10> × 18880288166450473724433160457379319931287159<44> × 109609497700990170741236550963787656060801743<45> (Dmitry Domanov / for P44 x P45 / September 9, 2022 2022 年 9 月 9 日)
53×10106-449 = 5(8)1054<107> = 22 × 3 × 7 × 73 × 1303 × 4064023 × 26096659 × 50144693 × 1860343351<10> × 1232710155329<13> × 338032470651461650717<21> × 1787756038869014723756051836575144253<37>
53×10107-449 = 5(8)1064<108> = 22 × 112476295411281915335751171896556957551<39> × 1308917774041970471175572060876083425227454886762887599146508378431171<70> (Dmitry Domanov / Msieve 1.54 snfs for P39 x P70 / September 9, 2022 2022 年 9 月 9 日)
53×10108-449 = 5(8)1074<109> = 22 × 23 × 307 × 51904439 × 784388633507<12> × 5121195606135659215740715358086925035402836724668083975297365231058129620849086356357<85>
53×10109-449 = 5(8)1084<110> = 22 × 33 × 367 × 128467 × 11565168321663245368234512902618371713265694445531242950596214134189576359755591620254251825311771907<101>
53×10110-449 = 5(8)1094<111> = 22 × 38431 × 24108893 × 3816487391924682487984335421<28> × 41634234320289932523929998855371464907875318854429143922274887255093147<71>
53×10111-449 = 5(8)1104<112> = 22 × 31 × 181 × 317 × 653 × 619613 × 52580380858198910866567265311<29> × 38905984377132207272155130719924584597921499431578301920996166237077<68>
53×10112-449 = 5(8)1114<113> = 22 × 3 × 7 × 337 × 2879 × 18889363833453858714492768673825567410209<41> × 38252971473104862618196374224546527086705354446691277871513656343<65> (Dmitry Domanov / Msieve 1.54 snfs for P41 x P65 / September 10, 2022 2022 年 9 月 10 日)
53×10113-449 = 5(8)1124<114> = 22 × 89 × 1654182272159800249687890137328339575530586766541822721598002496878901373283395755305867665418227215980024968789<112>
53×10114-449 = 5(8)1134<115> = 22 × 73 × 9364725967<10> × 75495493109<11> × 15704810009927<14> × 62400829059602401<17> × 29107932725584034593514097548451093799834038754933114777712617<62>
53×10115-449 = 5(8)1144<116> = 22 × 3 × 4907407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407407<115>
53×10116-449 = 5(8)1154<117> = 22 × 326663 × 258818167 × 19434091874684757880814704334791073878696667<44> × 89601321293287870647909782481463022110268942999181010656503<59> (Ignacio Santos / GNFS, Msieve for P44 x P59 / September 10, 2022 2022 年 9 月 10 日)
53×10117-449 = 5(8)1164<118> = 22 × 557 × 72837368541263594453<20> × 107415208111460309733227651533823<33> × 337829952539985170700171922736740854116676245188600701858193187<63> (Eric Jeancolas / ECM for P33 x P63 / September 4, 2022 2022 年 9 月 4 日)
53×10118-449 = 5(8)1174<119> = 22 × 32 × 7 × 2342161998037<13> × 99773656653662744398050192203943570098920269017933362771614114711142465769514972629971045558043905353191<104>
53×10119-449 = 5(8)1184<120> = 22 × 17 × 19584651094607<14> × 2343747572592991535549985434413379971161974189<46> × 188667794784051163143912073928531650832973168208351144507231<60> (Ignacio Santos / GNFS, Msieve for P46 x P60 / September 10, 2022 2022 年 9 月 10 日)
53×10120-449 = 5(8)1194<121> = 22 × 71 × 11471 × 7588401833<10> × 81200562997<11> × 20867771419630562191671262972691<32> × 140581543974951435018611870430143413339244268764792712395806291<63> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:290593185 for P32 x P63 / September 4, 2022 2022 年 9 月 4 日)
53×10121-449 = 5(8)1204<122> = 22 × 3 × 191 × 11587 × 2788635344345769700163<22> × 795162723249219675337551825071377104859695266662802289197820762850061208946583751446227126217<93>
53×10122-449 = 5(8)1214<123> = 22 × 73 × 233 × 1031 × 211821379309<12> × 39633838073911051926065206011006253445098237938654086543605590666097297384365798617674108823487333579911<104>
53×10123-449 = 5(8)1224<124> = 22 × 19 × 8521 × 8304932087<10> × 12932458210340319439<20> × 84666583143545701960732662381989072902167041504805271142265569478671725149676534265107103<89>
53×10124-449 = 5(8)1234<125> = 22 × 3 × 7 × 67 × 14279947855337<14> × 291257031864546184878656084867<30> × 25182293901181831684342977953223167<35> × 99903554907571790598612304608002981667997271<44> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3665963303 for P30, B1=1000000, sigma=1:2762487906 for P35 x P44 / September 4, 2022 2022 年 9 月 4 日)
53×10125-449 = 5(8)1244<126> = 22 × 292 × 43 × 59 × 20873 × 58943 × 44370817849<11> × 1263986288250702535351445685307535323106303872944911819906272039419952024890326502434963279998826083<100>
53×10126-449 = 5(8)1254<127> = 22 × 312 × 458397703 × 3342008486806959519380589079610994968441792006711595826938534193495168519799743879115923795605806531075054590472587<115>
53×10127-449 = 5(8)1264<128> = 22 × 32 × 439 × 613 × 69929 × 802583 × 2831039 × 92150988407<11> × 415157358884743721298227721159265182630203586812069749417532295873512201509185649662242169697<93>
53×10128-449 = 5(8)1274<129> = 22 × 89867292005391320133411083<26> × 1638218076198290965806518398670115740794108559547540701997263611057991376112878206774272606284793126087<103>
53×10129-449 = 5(8)1284<130> = 22 × 484782596035464247<18> × 3036871030977609348567636353049090216084221974985521141312812061105804943176192040078107059753973375237801546843<112>
53×10130-449 = 5(8)1294<131> = 22 × 3 × 7 × 23 × 73 × 3923 × 1419355002866545629143688940529<31> × 74988391303546810801384170521331317460961321143844798575687678694845979163083050838259018557<92> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3525596906 for P31 x P92 / September 4, 2022 2022 年 9 月 4 日)
53×10131-449 = 5(8)1304<132> = 22 × 47 × 2411 × 310553 × 1515971 × 620113537179633832541774487659906184525761741<45> × 4450209596445055076929310620146491360110262815835401909157936984078311<70> (Ignacio Santos / GNFS, Msieve for P45 x P70 / September 10, 2022 2022 年 9 月 10 日)
53×10132-449 = 5(8)1314<133> = 22 × 35992727 × 158360233 × 15750255356606090292329113794671<32> × 16399283928265578351399382815176055278006782766789601333752035971685066310635248457261<86> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4236832189 for P32 x P86 / September 4, 2022 2022 年 9 月 4 日)
53×10133-449 = 5(8)1324<134> = 22 × 3 × 127 × 1070294032307547142912981165123274152961126925279821563<55> × 36103166084765122011936205482065146056877858382366112691070194209727291887907<77> (Ignacio Santos / GNFS, Msieve for P55 x P77 / September 11, 2022 2022 年 9 月 11 日)
53×10134-449 = 5(8)1334<135> = 22 × 1039 × 533586039022098267342663698345137<33> × 265554315374801946741779332100612048429243988639000663366129077885314283048372932894539735963449747<99> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2499330805 for P33 x P99 / September 4, 2022 2022 年 9 月 4 日)
53×10135-449 = 5(8)1344<136> = 22 × 17 × 373 × 1852307 × 737396069 × 169981567418905389645287460540473103612450349828102978582813266087631073827920305462891547836176246006396449074510807<117>
53×10136-449 = 5(8)1354<137> = 22 × 34 × 7 × 1381769 × 14769334159<11> × 1871269431049<13> × 43012990904875942861176551<26> × 15807310458857064325334254557864503750226416627452878349949823328572449417153747<80>
53×10137-449 = 5(8)1364<138> = 22 × 148521522209<12> × 991251773026205600422982816819092478105845793164578878008166632701995849379358566645555125628871490865735139929979831319372269<126>
53×10138-449 = 5(8)1374<139> = 22 × 73 × 25183 × 3205218469483084181<19> × 869227092243240128418021240809<30> × 287443275130420043250543105845725816188717703630595261611980444383993021700943477111<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4131587556 for P30 x P84 / September 4, 2022 2022 年 9 月 4 日)
53×10139-449 = 5(8)1384<140> = 22 × 3 × 308137 × 1420777 × 10877984203965350369671225835603672857313<41> × 1030466605983721631148860797440984937101828846335404067220650630802578549058416184492511<88> (Bob Backstrom / GMP-ECM 7.0.4 B1=17630000, sigma=1:518801259 for P41 x P88 / September 10, 2022 2022 年 9 月 10 日)
53×10140-449 = 5(8)1394<141> = 22 × 19357097 × 894241103195973555908573<24> × 8505082182264900108814108740998597648743183482409704997289282816153864590740838854222877164153452863051874441<109>
53×10141-449 = 5(8)1404<142> = 22 × 192 × 31 × 48463 × 348873709 × 1480110027030377<16> × 194349826755080913999685313329429647996796737731<48> × 27048785964787020629878039251335326882867972634758279837356139<62> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3990008045 for P48 x P62 / September 4, 2022 2022 年 9 月 4 日)
53×10142-449 = 5(8)1414<143> = 22 × 3 × 72 × 1747 × 318823 × 80234777047<11> × 248928760794575049004722701993227<33> × 9002761765037796700409253696087219140709550495126902215356404365377994546920519912667887<88> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:646072516 for P33 x P88 / September 4, 2022 2022 年 9 月 4 日)
53×10143-449 = 5(8)1424<144> = 22 × 51797 × 546719 × 656814297691496839831170935167199<33> × 612435482605869625045488621800093887291<39> × 12924139958594013749694829152925229841933465922508308112441083<62> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:28531710 for P33 / September 4, 2022 2022 年 9 月 4 日) (Eric Jeancolas / cado-nfs-3.0.0 for P39 x P62 / September 10, 2022 2022 年 9 月 10 日)
53×10144-449 = 5(8)1434<145> = 22 × 97 × 419 × 3037 × 297247 × 10161900426644699470835146145431857192939174380742071659<56> × 3948666038181486018594873389378183427251321770730086612629136877542559908847<76> (Ignacio Santos / GMP-ECM, Msieve 1.52 snfs for P56 x P76 / September 11, 2022 2022 年 9 月 11 日)
53×10145-449 = 5(8)1444<146> = 22 × 32 × 5541326523705107<16> × 345872138747885863<18> × 853496094482681499776696383938648796461927069635437252139181144022339281062716687244053212902171932588055745409<111>
53×10146-449 = 5(8)1454<147> = 22 × 43 × 73 × 46900994655056458178471558528901631800644224983186435878375986690736611093412622562033202364518070156808608544830271494814342855120172737248239<143>
53×10147-449 = 5(8)1464<148> = 22 × 429120339379213022249724419<27> × 60126846071528596710866647584484888143101265298403<50> × 57059221961533581928284359085223822786687496966251845332007953520304453<71> (Eric Jeancolas / cado-nfs-3.0.0 for P50 x P71 / September 14, 2022 2022 年 9 月 14 日)
53×10148-449 = 5(8)1474<149> = 22 × 3 × 7 × 61 × 383 × 30007199463176863339513684075598213337373547962941448367121439928870481453625741602456921551215948339605404194712074693241495450115918377699827<143>
53×10149-449 = 5(8)1484<150> = 22 × 8245284099399314727806237613193<31> × 17855324382691392357135046881153569597483403912034956821842582590553274421803196129184723359891109764758153438383322597<119> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:863884987 for P31 x P119 / September 4, 2022 2022 年 9 月 4 日)
53×10150-449 = 5(8)1494<151> = 22 × 11597 × 151333077229346057957<21> × 195818691045328465092857<24> × 24020333673423310053358605887<29> × 178344889586876111471361884206145489614525171232942969881181026686043704811<75>
53×10151-449 = 5(8)1504<152> = 22 × 3 × 17 × 292023722909678050529481957992189<33> × 9732701948978446394258212986017133716606230829437<49> × 101566768634611155875152862570265743557746346421597568951633509792647<69> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:532432155 for P33 / September 4, 2022 2022 年 9 月 4 日) (Eric Jeancolas / cado-nfs-3.0.0 for P49 x P69 / September 14, 2022 2022 年 9 月 14 日)
53×10152-449 = 5(8)1514<153> = 22 × 23 × 1343816610647662909427582341917801997<37> × 47577858039943844651280056791268709596055771061<47> × 100115343467845125091345960934144250442253704454880307181702286602731<69> (ebina / Msieve 1.53 snfs for P37 x P47 x P69 / September 11, 2022 2022 年 9 月 11 日)
53×10153-449 = 5(8)1524<154> = 22 × 29 × 16711077763<11> × 27038109233879<14> × 75228300028948601<17> × 759802804882971663683<21> × 2159894955002993967756007<25> × 729760019034656359604450450953151<33> × 1247095625466857967793311546077327<34> (Eric Jeancolas / ECM for P33, B1=1000000, sigma=1:2735952863 for P34 / September 4, 2022 2022 年 9 月 4 日)
53×10154-449 = 5(8)1534<155> = 22 × 32 × 7 × 73 × 107 × 37861 × 151771 × 1295556583<10> × 5485169859140621181350051<25> × 732653854999767807168788730157730154384369342654749405656277318313456958259022247695673686817019170552939<105>
53×10155-449 = 5(8)1544<156> = 22 × 71 × 3221 × 46172722902478485222680237<26> × 13942440786822783025900181765963759716592742578859601183390450536199368708089598570841430787489109477520342921508661366080763<125>
53×10156-449 = 5(8)1554<157> = 22 × 31 × 2857 × 481343 × 1122071 × 1229444739431<13> × 2229270695641554797912711<25> × 2118658707707342778258179471<28> × 5300216546238104659015101960642147850776771779499006533329759716949775567261<76>
53×10157-449 = 5(8)1564<158> = 22 × 3 × 67 × 89 × 389 × 569 × 924757387 × 141067666483476493873098667380843115989607<42> × 28501659375461113147074133787216714680555662532656800619468552497888649871801981541339116624046581<98> (Bob Backstrom / Msieve 1.54 snfs for P42 x P98 / September 12, 2022 2022 年 9 月 12 日)
53×10158-449 = 5(8)1574<159> = 22 × 227 × 3023 × 183617237 × 4880803442479448107666741403<28> × 6898121959564898922787500774212168946584399<43> × 34703536132609267825922689228074723860899175258747625938710678043639488009<74> (Bob Backstrom / Msieve 1.54 snfs for P43 x P74 / September 17, 2022 2022 年 9 月 17 日)
53×10159-449 = 5(8)1584<160> = 22 × 19 × 10273 × 255511 × 2707348408264163664083<22> × 16453839036332823465569940847570523<35> × 662676370644049017938704283740782968554406711288729949527723206687927818321008883863151273817<93> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1246200437 for P35 x P93 / September 4, 2022 2022 年 9 月 4 日)
53×10160-449 = 5(8)1594<161> = 22 × 3 × 7 × 1709749 × 6209066569<10> × 64823352025033321721851941030328171141762386077225371<53> × 1018741304767791024404923080971373163942562210011799841980383167243328805250206208499982551<91> (Bob Backstrom / Msieve 1.54 snfs for P53 x P91 / September 12, 2022 2022 年 9 月 12 日)
53×10161-449 = 5(8)1604<162> = 22 × 1021 × 5866465714517049991<19> × 685846129284004440629<21> × 1703073363672401886760091567182073228166154363435175803<55> × 21043164072525849068082092456152464324542492440847140852300891153<65> (Bob Backstrom / Msieve 1.54 snfs for P55 x P65 / September 17, 2022 2022 年 9 月 17 日)
53×10162-449 = 5(8)1614<163> = 22 × 73 × 113 × 499 × 25349 × 8648797888327<13> × 10543521828529553371<20> × 161735670811213448627<21> × 7393123678111025738777<22> × 129400350525651464484475609951933134924780445520307437222899856835685058099653<78>
53×10163-449 = 5(8)1624<164> = 22 × 33 × 85874290309812446731<20> × 6349601117456094232786513336165917797466618390361646847160480884914373948392733176165179351162764662035932445876070134798664852002496663137733<142>
53×10164-449 = 5(8)1634<165> = 22 × 2272939802849774766639340886730906658097<40> × 1095779654124948843135088847150198040523384479504487<52> × 59110169201975969415996646972028353414970981722041586301036627321931570139<74> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:243329046 for P40 / September 4, 2022 2022 年 9 月 4 日) (Ignacio Santos / GNFS, Msieve for P52 x P74 / September 18, 2022 2022 年 9 月 18 日)
53×10165-449 = 5(8)1644<166> = 22 × 23165491 × 746786783 × 167077903243752131<18> × 509349893609802414386483411635848709188671331054232639445574963980636527390816438375642912927829838072909357302091193221467962732747<132>
53×10166-449 = 5(8)1654<167> = 22 × 3 × 7 × 17168870589828227655776281406161<32> × 637425626857129390542884164228720426861663<42> × 64059394190136192483677354083348761897923401045000411896527997693285673861418751179319826007<92> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2594421241 for P32 / September 4, 2022 2022 年 9 月 4 日) (Bob Backstrom / Msieve 1.54 snfs for P42 x P92 / September 17, 2022 2022 年 9 月 17 日)
53×10167-449 = 5(8)1664<168> = 22 × 17 × 43 × 347 × 1557644107<10> × 9496069923253728428961937<25> × 679918906401342143499315513979<30> × 57710821863391573959687336046342892470571397537073190580386735781709758228018732803763710412697373<98> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3439506545 for P30 x P98 / September 4, 2022 2022 年 9 月 4 日)
53×10168-449 = 5(8)1674<169> = 22 × 3011 × 15451 × 830019301 × 242417844511<12> × 41447864181613276176416804098823994697234965748295436956558549<62> × 3794469688332608757255100236833078647504534386966080750799976819995259638841099<79> (Bob Backstrom / Msieve 1.54 snfs for P62 x P79 / September 14, 2022 2022 年 9 月 14 日)
53×10169-449 = 5(8)1684<170> = 22 × 3 × 3401534597<10> × 385784863370667041<18> × 3739659300837677154313951397611930745665127993377288120726602040909960871518868737391460260717972497138504682517024021264367460754148559121091<142>
53×10170-449 = 5(8)1694<171> = 22 × 73 × 1184369 × 1228273 × 2819281 × 256914769 × 7153432223297<13> × 2294181558163717<16> × 116626941228534470762436889994397637032123183499652808653908938601239613354966379880845290351936727289002257435361<114>
53×10171-449 = 5(8)1704<172> = 22 × 31 × 22686534637802424251<20> × 138094580212712228593<21> × 51110398567382702339180119<26> × 5143304196973408394763650879825803524950309<43> × 57665412024106988989292990934310251371026070594347672244990947<62> (Eric Jeancolas / cado-nfs-3.0.0 for P43 x P62 / September 9, 2022 2022 年 9 月 9 日)
53×10172-449 = 5(8)1714<173> = 22 × 32 × 7 × 269 × 139943 × 426568910221929583<18> × 1479002250442517961673824730864978897082451356329<49> × 9839461377866104865240892442877647799095433821705585044663558622924579130002227130493662119878543<97> (Bob Backstrom / Msieve 1.54 snfs for P49 x P97 / September 14, 2022 2022 年 9 月 14 日)
53×10173-449 = 5(8)1724<174> = 22 × 2633722397677673719<19> × 568548511230126965309<21> × 169333430253693119741955076007670996104265156389<48> × 580621534161908290052313343699925450191635094942427804600890375201403972378897718668459<87> (Bob Backstrom / Msieve 1.54 snfs for P48 x P87 / September 19, 2022 2022 年 9 月 19 日)
53×10174-449 = 5(8)1734<175> = 22 × 23 × 3185257 × 133771217 × 24457201088414567583157262702587<32> × 8174659645397444318123379605792412093414418602963533<52> × 751383998031784361322877137416779520542340634692420078922093837474316080173<75> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2065234410 for P32 / September 4, 2022 2022 年 9 月 4 日) (Norman Powell / YAFU v2.10 (Win64) for P52 x P75 / September 21, 2022 2022 年 9 月 21 日)
53×10175-449 = 5(8)1744<176> = 22 × 3 × 127 × 8637408392006166821<19> × 220309721701438002717150250338501275173<39> × 20306322393748044473217510694884586516185829777469945124914771442443505110440643574053137178723106252019222615246777<116> (Bob Backstrom / GMP-ECM 7.0.4 B1=15440000, sigma=1:3547756397 for P39 x P116 / September 12, 2022 2022 年 9 月 12 日)
53×10176-449 = 5(8)1754<177> = 22 × 431 × 152791 × 240670745217061<15> × 108804550196952838575517<24> × 51845568411336013781189185195318531247039703160589<50> × 1646706972828141780612666625144402011683535718035477263677222149061110528491247257<82> (Norman Powell / CADO-NFS v3.0.0 for P50 x P82 / September 26, 2022 2022 年 9 月 26 日)
53×10177-449 = 5(8)1764<178> = 22 × 19 × 47 × 548927 × 754121 × 906343 × 6708719433144965756436124585213<31> × 654989092670360703346456251284413160871451201579329940525619762885093387974387282492055545670389387958672536872583846978748549<126> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:352046563 for P31 x P126 / September 4, 2022 2022 年 9 月 4 日)
53×10178-449 = 5(8)1774<179> = 22 × 3 × 7 × 73 × 613 × 646307 × 1342111 × 4399866009724322197468402940127480287124980405460166873519<58> × 4104913338644884330242263019040238192519149271975481025354212478634217189180559004228238662337156583823<103> (Bob Backstrom / Msieve 1.54 snfs for P58 x P103 / September 26, 2022 2022 年 9 月 26 日)
53×10179-449 = 5(8)1784<180> = 22 × 2248691 × 4418581 × 1106170686966290669<19> × 13394873628874381493817407048737789707579331478670132564773520021186161159976031724025776333221555165181711923460639745738672608787754090420381117679<149>
53×10180-449 = 5(8)1794<181> = 22 × 214342521219429151<18> × 141425869119965847758436798090293027<36> × 7490202676624310875323016533452710949<37> × 6483994059425164485505766149648380957950942484036021918324755812204749826084489990192737277<91> (Bob Backstrom / GMP-ECM 7.0.4 B1=11360000, sigma=1:1926957406 for P36 x P37 x P91 / September 14, 2022 2022 年 9 月 14 日)
53×10181-449 = 5(8)1804<182> = 22 × 32 × 29 × 67300153 × 9559155756100385974050129726236704322622088825821128799038697893<64> × 87679339978022709998797897701440822885364863677633323989154501219032486320631549855463556182303918267409309<107> (Bob Backstrom / Msieve 1.54 snfs for P64 x P107 / September 19, 2022 2022 年 9 月 19 日)
53×10182-449 = 5(8)1814<183> = 22 × 125627 × 1234841 × 220161269 × 151143044863<12> × 8138263104932969<16> × 8865586078486165353974581006733660913319757759<46> × 395285674345177587472503013066693894407617000774481256188094391956879586832220292418808219<90> (Bob Backstrom / GMP-ECM 7.0.4 B1=27670000, sigma=1:3235437879 for P46 x P90 / September 23, 2022 2022 年 9 月 23 日)
53×10183-449 = 5(8)1824<184> = 22 × 17 × 59 × 223 × 152993 × 11808077 × 22422311 × 22103996239660122597267390469<29> × 7351325716920946488027322618456134213263839947976258888861099075732536840008994372315300742740854310000565207292628383912202648191<130>
53×10184-449 = 5(8)1834<185> = 22 × 3 × 72 × 234190769584663<15> × 1041508275005741<16> × 12733619115752580377<20> × 5803657781712337277101479487<28> × 5556097833318285735620747881546152482030712717049387300811355381796021551235806268171838090138718215982779<106>
53×10185-449 = 5(8)1844<186> = 22 × 59387 × 198031 × 5388193 × 18495577 × 1611967312543938127<19> × 77925849007947204386321451338932262517140212375030907404326150120444027858440423041823082608543902709215127929553429052867165954389928007801519<143>
53×10186-449 = 5(8)1854<187> = 22 × 31 × 73 × 131 × 193 × 11003 × 45427618856597801<17> × 16378280493723597471225641574443<32> × 2807755207607642824280145729667775303<37> × 1119441950799829053420076512483661445182615504092075404685587774139254892724453116738791327<91> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1042070387 for P32, B1=1000000, sigma=1:2361452980 for P37 x P91 / September 4, 2022 2022 年 9 月 4 日)
53×10187-449 = 5(8)1864<188> = 22 × 3 × 8520627319097<13> × 89117297060132865060623<23> × 6462767584934041379021116046409940554120816113106571828480427540004687494892112856007129717279746404492053049012548335801007356724362796391254924318697<151>
53×10188-449 = 5(8)1874<189> = 22 × 43 × 577 × 60353 × 2122189 × 11168937223541089020067263816561633865120980949772079073478226981209<68> × 4147957790407606713227116979460828405892711490620473244075831536192162844365478662861606114578128445329787<106> (Bob Backstrom / Msieve 1.54 snfs for P68 x P106 / September 18, 2022 2022 年 9 月 18 日)
53×10189-449 = 5(8)1884<190> = 22 × 61027 × 107001809350863463<18> × 225455184250254304536537639084708949795369124772661375971634370983163352817688038638019520303995938171350458106279288268410244539064140172625296371145794032842094485721<168>
53×10190-449 = 5(8)1894<191> = 22 × 33 × 7 × 67 × 71 × 317 × 2509966151880514433231<22> × 20580280332691341603887126191073794260938460394749055175311144496119783460360885195019862436943525395686280142436482458861650048532025062750769403151669546965151<161>
53×10191-449 = 5(8)1904<192> = 22 × 74667792487<11> × 1633656639321727841136857917<28> × 3073732035858216854082712291031737442599721308106713151035280917417457575877<76> × 392656934166298758728374035021871635581964675640841934273939561190868966277787<78> (Bob Backstrom / Msieve 1.44 snfs for P76 x P78 / April 8, 2023 2023 年 4 月 8 日)
53×10192-449 = 5(8)1914<193> = 22 × 135248935631320059709<21> × 8041589353293369007307<22> × 232087543660846363038580994792009417<36> × 354432304221912845809917231536383310406587687131<48> × 16455553339573937656199380751603811440296410550944591641012548535521<68> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:648287481 for P36 / September 19, 2022 2022 年 9 月 19 日) (Eric Jeancolas / cado-nfs-3.0.0 for P48 x P68 / September 20, 2022 2022 年 9 月 20 日)
53×10193-449 = 5(8)1924<194> = 22 × 3 × 1877 × 10357 × 1382166703613052037650252258564713409092246770757<49> × 22910658975513163757611338291946270484795487803099300013628005229<65> × 7971790149079028863719701725923095131834325936450657161593381608233154471<73> (Bob Backstrom / Msieve 1.54 snfs for P49 x P65 x P73 / September 20, 2022 2022 年 9 月 20 日)
53×10194-449 = 5(8)1934<195> = 22 × 73 × 90677 × 9501367 × 157361659161734975628512971<27> × 2140956088925112603524025185954903371556478052446330787113616807026719<70> × 6948012417912687803104052989130818870369476422045144981570134089970643565251652357947<85> (Bob Backstrom / Msieve 1.54 snfs for P70 x P85 / December 22, 2022 2022 年 12 月 22 日)
53×10195-449 = 5(8)1944<196> = 22 × 19 × 48647 × 67975031951906343235864798148685571877047<41> × 16082159565541978073886676334928161911654595335303253646635520853223179<71> × 1457034776468074747796915674067626373471312257018224253544526337824732841513469<79> (Bob Backstrom / GMP-ECM 7.0.4 B1=21590000, sigma=1:3417896520, Msieve 1.54 snfs for P41 x P71 x P79 / September 24, 2022 2022 年 9 月 24 日)
53×10196-449 = 5(8)1954<197> = 22 × 3 × 7 × 23 × 109 × 1061 × 3066395057325525107698440945442601855588469115535093704941791<61> × 85952052124654528047134903597982114693297121551987965107600952451628694510886663469983057065551746504167583186273793262037638993<128> (Bob Backstrom / Msieve 1.54 snfs for P61 x P128 / September 29, 2022 2022 年 9 月 29 日)
53×10197-449 = 5(8)1964<198> = 22 × 331119729393984528857038119740168275544626671649902983191283<60> × 444619299767091488779088978446818029233899514488488807803424195615520038694525609673413108798958070482014349635219545705863516369808828287<138> (Bob Backstrom / Msieve 1.54 snfs for P60 x P138 / September 28, 2022 2022 年 9 月 28 日)
53×10198-449 = 5(8)1974<199> = 22 × 40867 × 36024719754868774860455189326895104172614143984687454969100306414031424431013341381119784232320019140681288624616982460719461233323273600269709599976074148389219228771924100673458345907999662863<194>
53×10199-449 = 5(8)1984<200> = 22 × 32 × 17 × 927287 × 2163013 × 1336667892137304435136747189267466179291<40> × 2048230414156333130290343648198890597823182342387<49> × 17522913227673266161477570595753643950751936301973094200078146824581072432509916091352896271618391<98> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:4087888690 for P40 / October 2, 2022 2022 年 10 月 2 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=41460000, sigma=1:4080247990 for P49 x P98 / October 6, 2022 2022 年 10 月 6 日)
53×10200-449 = 5(8)1994<201> = 22 × 8890871741083612873661279<25> × 16558806212660411929159269759615338788288595065888084372608542091304319150653759911789904276847679480267005265215690672042495994170576759211067258020906236648468440930084836499<176>
53×10201-449 = 5(8)2004<202> = 22 × 31 × 89 × 863 × 1860737 × 624374036081<12> × 1507019563039241<16> × 19480052759197725056963451699883<32> × 490259745087366308036538352167278957861231568443<48> × 36978201968543654757771750111533880711553624308299073919152801063238032436298565301<83> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3145263863 for P32 / September 4, 2022 2022 年 9 月 4 日) (Eric Jeancolas / cado-nfs-3.0.0 for P48 x P83 / September 18, 2022 2022 年 9 月 18 日)
53×10202-449 = 5(8)2014<203> = 22 × 3 × 7 × 73 × 52561 × 456179825597<12> × 30462451298710027214131<23> × 13148211212678058111947575603899844105685413925993610536929678927403572515375883689560315788769661231784061591067775604496381976557414070753043119027136441671831<161>
53×10203-449 = 5(8)2024<204> = 22 × 21013 × 91860259 × 6507484406042270032009236685004814871187329<43> × 324618830588775141737903803848833198571846011123120304456083<60> × 36105286685084952835969108070549805379294992834668091120296765187539527667642089568759809<89> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2352119290 for P43 / September 21, 2022 2022 年 9 月 21 日) (Thomas Kozlowski / cado-nfs for P60 x P89 / August 15, 2024 2024 年 8 月 15 日)
53×10204-449 = 5(8)2034<205> = 22 × 30150891343533996257<20> × 48828480904527134734804405743133455393855672573587664110129948158131292898877933769337677059251044023223038334919414149248481229880126329721007153956365758501327373705283147162047095853<185>
53×10205-449 = 5(8)2044<206> = 22 × 3 × 296030569 × 1329278283199<13> × 32670933984054952592273<23> × 381714005067031599679942841447425251630624604842438642650054232484417683592175597196446441307827833928906560894897115463874616376541936634604788705399913845193689<162>
53×10206-449 = 5(8)2054<207> = 22 × 67061 × 113955539155688005533239549218985269398586256333320364023027661067759400173844009517627857876283803<99> × 19264950761160929331382812378170727562026843794070070436376513636752118727915169165702995292045376076987<104> (Bob Backstrom / Msieve 1.44 snfs for P99 x P104 / June 26, 2024 2024 年 6 月 26 日)
53×10207-449 = 5(8)2064<208> = 22 × 107 × 587120837 × 9683523701<10> × 224416594537895740843<21> × 10783846805803176918355770162403325361197005943857564956398880418079958604626247825076192979651118843778310712052881287124581037848032788592633464906885772926763437133<167>
53×10208-449 = 5(8)2074<209> = 22 × 32 × 7 × 61 × [3830919131465579553011247000318038569404689623268858241535837164252464798912886344580333651371902738022956602191574869170497585798132246219677913666984705236071356289935524908202503830919131465579553011247<205>] Free to factor
53×10209-449 = 5(8)2084<210> = 22 × 29 × 43 × 263 × 45171263 × 262712434948553<15> × 374316038810846967012552763<27> × 514748734782873659904232930428467209381<39> × 196324535830228270380065275838706872125081740667620158636074993498584323910470184324533903300074076004824813558990933<117> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2246587424 for P39 x P117 / September 4, 2022 2022 年 9 月 4 日)
53×10210-449 = 5(8)2094<211> = 22 × 73 × 537893009 × 10408303157753387<17> × 8698137617490952128266435759987<31> × 414141165256088120248181256765805107853782717640165208136169494630887751842176696212928737422553822914281713735599262259703823228692162072321763187165637<153> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1291730469 for P31 x P153 / September 4, 2022 2022 年 9 月 4 日)
53×10211-449 = 5(8)2104<212> = 22 × 3 × 1861 × 10020598177<11> × 1390301434884174751<19> × 1002785777723329037576803939618189<34> × 6608390888597407890573424174034065209314015797831810874471141831<64> × 28562698330174803831810438641838133785859772718178168445545740312101388017882465959<83> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:818441208 for P34 / September 4, 2022 2022 年 9 月 4 日) (Eric Jeancolas / cado-nfs-3.0.0 for P64 x P83 / October 22, 2024 2024 年 10 月 22 日)
53×10212-449 = 5(8)2114<213> = 22 × 1452893779<10> × 953498682749<12> × 15688209462648379<17> × 15582038246849453867132312250793501<35> × 434732152975003610854341101393633139430413894488386698606551331514407340928499870748631487709644316662420369593744952031926831409251840402469<141> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3681219171 for P35 x P141 / September 4, 2022 2022 年 9 月 4 日)
53×10213-449 = 5(8)2124<214> = 22 × 19 × 1064579912897087381<19> × 133587618787276972901598497509<30> × 32416871338163220076772805220174381907707823<44> × 16807541590648867755860715439430073257855626918575934696490670153133107488005758040897069766343678943852845577938148283977<122> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4011825726 for P30 / September 4, 2022 2022 年 9 月 4 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:1504294132 for P44 x P122 / October 31, 2022 2022 年 10 月 31 日)
53×10214-449 = 5(8)2134<215> = 22 × 3 × 7 × 161305230144169464160411<24> × 595865363664138929280313<24> × 67459236534796922095900259<26> × 1184691802500116968144744033620517729974007313300973644011<58> × 91266349166043114882286236502321345378624669382842173799524527006867882514161146643<83> (ebina / Msieve 1.53 gnfs for P58 x P83 / September 27, 2022 2022 年 9 月 27 日)
53×10215-449 = 5(8)2144<216> = 22 × 17 × 719 × 737313301 × 99281642595967995073<20> × 160577947147311715291676785289723<33> × 1024680881242870164163835278526668284868016017246652155018375731685523020679587453359280842835851523331622640807168647648728990740321476610679215303813<151> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3784793669 for P33 x P151 / September 4, 2022 2022 年 9 月 4 日)
53×10216-449 = 5(8)2154<217> = 22 × 31 × 191 × 3725573 × [66739850616047402108591947566365628147138291635601481842012807313494663518518618091017657756032532356139912815715430871635133596402308218381102840556756650509610035554825977872767094053852757603495683841737<206>] Free to factor
53×10217-449 = 5(8)2164<218> = 22 × 34 × 127 × 1063 × 1789 × 25067717460347<14> × [30021074538956066937338502549893300506279993696579034086160722574848412955748295122538219030653465733034644646602056334595941325816049877371089966559062860189751078788661895261050763370287787627<194>] Free to factor
53×10218-449 = 5(8)2174<219> = 22 × 23 × 73 × 10928383 × 130991757618751<15> × [61252355748886121686214455410385337886034871423372012804138050734176104986968286925285696511951952008222711458698465189114876945652267933539425156068493386540619096046236294708894160055719954403<194>] Free to factor
53×10219-449 = 5(8)2184<220> = 22 × 1201 × 12251 × 25351364513<11> × 1244546193017<13> × 60762906564249326451136333<26> × 52192478520583528778363552553573698907227465172554041458158545261150191051102603176141019289737627286314778926816484224528154307381554107942477010166695474427796347<164>
53×10220-449 = 5(8)2194<221> = 22 × 3 × 7 × 677 × 3761 × 23537 × 20561320403880247<17> × 5989809758315841413749<22> × 12885607476082681725017<23> × 72868002907836088758995526074937917<35> × 101159149726456493642014484526870114579805063091732862895969280717578476100689482544444056174645443050022689541627<114> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2736541856 for P35 x P114 / September 4, 2022 2022 年 9 月 4 日)
53×10221-449 = 5(8)2204<222> = 22 × 3548108549310315246330694363<28> × 4954857236537687590521659231097193947161<40> × 8374238491855842459425779458662624733644513981118848802532383463742146233695037723879762980496929370588551328299795849878773352848103482087535860568992847<154> (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P40 x P154 / March 14, 2024 2024 年 3 月 14 日)
53×10222-449 = 5(8)2214<223> = 22 × 4849332386359<13> × 42870374578798298641<20> × 7081644769335571985570097125280281288535276836251932292194635780941691148063055763014403489121121522803288097911380604198154457091518185694819621473382563682868236454159295091651057689362859<190>
53×10223-449 = 5(8)2224<224> = 22 × 3 × 47 × 67 × 1715704086984605726180963812081799867<37> × 2740382846628026846040408320127817087<37> × 20630314967880001139441537179435836675611461231274421641067975131267<68> × 16066451552499914414386792559415441553346848064713080758305962328064080451438501<80> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3525423853 for P37(1715...), B1=1000000, sigma=1:1494364659 for P37(2740...) / September 4, 2022 2022 年 9 月 4 日) (Thomas Kozlowski / cado-nfs for P68 x P80 / August 16, 2024 2024 年 8 月 16 日)
53×10224-449 = 5(8)2234<225> = 22 × 19189496560843859776172981<26> × 817579776488502305719566680958429841247<39> × 9383819543322557140131313453615172592761608133636473658348506433218268519267722143462835208951789780681712709216578566174070569161107675531515358833364935972903<160> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:244007597 for P39 x P160 / October 7, 2022 2022 年 10 月 7 日)
53×10225-449 = 5(8)2244<226> = 22 × 71 × 149 × 1031 × 338857 × 153686675800447175303343508371908501407383342792989<51> × 2591895023324470906015636361718857495247626419511216740917975783418865526161029875660037044469391026365677121317508581358790480840001258948821887501778983117259573<163> (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P51 x P163 / March 20, 2024 2024 年 3 月 20 日)
53×10226-449 = 5(8)2254<227> = 22 × 32 × 72 × 73 × 284293 × 4380107 × 14956247 × 26263890362272427<17> × [934930541910939250704525292126802734099129138946561932459573170718715214356212065347816939769087386348435548059373393329379144971518641430753283838570847991393975827786004883359118293463<186>] Free to factor
53×10227-449 = 5(8)2264<228> = 22 × 3772343 × [39026732781781036937050056747814878504479105484899496737762770305410250929521048913691629372573549706965199670926589184022296546793921502424944450232182551327443507184320784780764162278515559752181130459828870869436374747<221>] Free to factor
53×10228-449 = 5(8)2274<229> = 22 × 753367 × 534028189 × 2587988620125944653<19> × [1413970118684447587214894442512839939474027389863890614248409093585722559031422872465839830294274779029631622037030098236894103451201817850906533561357539999913028261321982270157102572806837336339<196>] Free to factor
53×10229-449 = 5(8)2284<230> = 22 × 3 × 613 × 1213 × 64747 × 77484203 × 3927706373<10> × 7159032869<10> × 5925531608707866999254249<25> × [7895458025122903709813822466206278323042071900272677112043395720782777903802605465051183870387632995183063873601735349618936055613747062487266732433607324783196594391<166>] Free to factor
53×10230-449 = 5(8)2294<231> = 22 × 43 × 2246180869<10> × 3276029881<10> × 1861916909401487551<19> × [249891819272827335057003829634089611684660019967772930646995141946008072369114114132354919580780470170922108696996740496233830792651902589269444723048148669315259860839483218621177042278332973<192>] Free to factor
53×10231-449 = 5(8)2304<232> = 22 × 17 × 19 × 31 × 24949192385218529<17> × 5554147367566045689612565819<28> × 760285076540341974183992379881<30> × 1395593044176484822418732762625665314776560995665924936427341644645474759860809103489062967288679719828759967957953510013172774098017798001046789826320107<154> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3763363817 for P30 x P154 / September 4, 2022 2022 年 9 月 4 日)
53×10232-449 = 5(8)2314<233> = 22 × 3 × 7 × 1009 × [694804956450149710803823786975422257880136968343113040833556195300496588900949654170665072548125075379783011101147870226165568088263826618633357979244996093360810902931814725670027949512587768286479882119128898117996234943707689<228>] Free to factor
53×10233-449 = 5(8)2324<234> = 22 × 1553 × 14053215173<11> × [6745687483555277283399941273973518552044604547604001610492454911383092008930589893844380633699542681419887193431329216267592589025241364500211679789542344529879193687677936842021286544088729187357795720028921184223206809<220>] Free to factor
53×10234-449 = 5(8)2334<235> = 22 × 73 × 1301 × 4805507042639016054619387<25> × [3225774422994863178609799007711659982400065246195309808826377386518731805232023405909684522760187590667569023236889736774679958748679263261591765367734890547281113938633685845242347994413518802240164267171<205>] Free to factor
53×10235-449 = 5(8)2344<236> = 22 × 32 × 4556055689309499888205873<25> × [359039173505738920978814057241535986670432049213445757512738923377065616754567281280043708959381733026662042567541994420055253793012004185757801300994180648673805117123225784792329300330688133539724076331854453<210>] Free to factor
53×10236-449 = 5(8)2354<237> = 22 × 1841849 × 98425522709972609<17> × [812103937767342555337383503352830572249255180620476256113364829781534147961356592733222011207361324398036212551479060523745016787181794253587981169580027550674618706555414046694560635266514206662061026448477428981<213>] Free to factor
53×10237-449 = 5(8)2364<238> = 22 × 29 × 509 × 3876927240479<13> × 2186626795610821<16> × [11765090501299848993808608533042751786120819417476610833450750609414780078486154684945207362220007222665187481369492196503974597719138759886156822632321155777254951990501039171320955714851666469548810499679<206>] Free to factor
53×10238-449 = 5(8)2374<239> = 22 × 3 × 7 × 21163 × 6237677858851809229862970714642396727<37> × [5310726059916873943119490809587813756950670928604665422604006855576440389169190017646390812678419919416854166423930316886392919316337044998672937911310042536526371769346560053367964037017626674701<196>] (Dmitry Domanov / for P37 / September 20, 2022 2022 年 9 月 20 日) Free to factor
53×10239-449 = 5(8)2384<240> = 22 × 431017 × 39794207 × 87724810523899<14> × [97844557950824430991334584911187155590000999619748161594270517995048093101044477993497416884521883175543067698049424411617942857491851909711760433585064999438440897960384763452547055590039311853854083757616601441<212>] Free to factor
53×10240-449 = 5(8)2394<241> = 22 × 23 × 97 × 179 × 157297997 × 3846901213<10> × 6092373791690545539957492114687268698269349303002369619781587260278056310951188632074146190103535098003460798856568742032346923991132025065673433321513051906214679700408150178446128709988947336802470189454458442493889<217>
53×10241-449 = 5(8)2404<242> = 22 × 3 × 59 × 461 × 30649 × 1074655535356948213788068872484187492561017<43> × 5477893542767058345918984399602171141218835363045889944118781175350507064466196595057851685183697534921847954794317471990351855794719438900512011329988712644287207660757123029636345114255521<190> (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P43 x P190 / March 25, 2024 2024 年 3 月 25 日)
53×10242-449 = 5(8)2414<243> = 22 × 73 × 157404582829279856861276249951270217656503<42> × 12812478098905009625298543008035775842048967392816247319831316575077193124167034384121917062432357937897806687110058640995150747067425194865077413658026397979812757488835603233290213760578430202880259<200> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3387694637 for P42 x P200 / October 10, 2022 2022 年 10 月 10 日)
53×10243-449 = 5(8)2424<244> = 22 × 809 × 635333 × 21313763300510448087932776789461975101<38> × 10959302982339755538280225839494338279837<41> × [12262537864519162055407064419836516270702757658561303123461532224604041083935125037888491996821785228423307351656379479484492519976994095128582344301462921689<158>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2330677256 for P38, B1=1000000, sigma=1:656814953 for P41 / September 4, 2022 2022 年 9 月 4 日) Free to factor
53×10244-449 = 5(8)2434<245> = 22 × 33 × 7 × 523 × 4639 × 86857 × 332289810913<12> × 11332114623744086795047<23> × 755699926474273069323133596375710463943<39> × [129898254413240100392725286615388475490507471002680200651963863941624598635560392070097733274929272271370441627159706406390310861781801462710769461970497081717<159>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:3192039671 for P39 / October 29, 2022 2022 年 10 月 29 日) Free to factor
53×10245-449 = 5(8)2444<246> = 22 × 89 × 117023 × 391121292006651395292965408737849<33> × 2259748407378386431723276305931818698099<40> × 15993392178731921426841706181159662483378742309724494171126439293700220967571861521475429523324274561028052173262420269612342515836601929854380215887313066958514694993<167> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:490588767 for P33 / September 4, 2022 2022 年 9 月 4 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:3439979363 for P40 x P167 / October 13, 2022 2022 年 10 月 13 日)
53×10246-449 = 5(8)2454<247> = 22 × 31 × 73517 × 50842543 × 7482301802507828908701143<25> × 166608770253924552747297270614810538133<39> × 10192097118115569935364553526983347465322187794095939338917125587384384660915445759647752104404176649748695362852107857065141885921677448981166115042649307726525238299419<170> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4102718426 for P39 x P170 / September 4, 2022 2022 年 9 月 4 日)
53×10247-449 = 5(8)2464<248> = 22 × 3 × 17 × 77618071 × [3719121336642617828011156446383401532574886047899704580702155579365022299122165694550395439717675909145229403364226874895278542732057550184648144485206595319041260384269661217096639478534812888981369093353809478213336812344828221470568601<238>] Free to factor
53×10248-449 = 5(8)2474<249> = 22 × 104709581 × 3669467031011217608661291743<28> × [383163345930704512772691246030912688524261070092217355614364789002794239270105679313960689196549638510689480784563980717355754352642362895178627161681377829083245974441567352157130976241232166614191738277061870687<213>] Free to factor
53×10249-449 = 5(8)2484<250> = 22 × 19 × 9613 × 34391836160830646633<20> × 1464436178832246615050504129<28> × 3547683126354952626747310403<28> × 45111803560671413398630479103704927881686992616452926266169855003387822573837024433760044710868676178016294403910207002495385598670516983972922557451373243343559526220833<170>
53×10250-449 = 5(8)2494<251> = 22 × 3 × 7 × 73 × 274843 × 140802040073267<15> × [248163317528217850250088749339490741714275225352700152850223668325991376093775021538281471314171068686638361152367040030206649128288042156678138986171021097847621554130070081481502695888043638008797104189948987478785262551259377<228>] Free to factor
53×10251-449 = 5(8)2504<252> = 22 × 43 × 167 × 56611 × 741270244171<12> × [488552284523821270173848643650979548786624910202758512804070641257007308082206407045619630964885898046973240786965117359461430809875317919996840948696402114212314450972370930648748075977891012947811511098353417949897793882608970561<231>] Free to factor
53×10252-449 = 5(8)2514<253> = 22 × 94321262635706110751<20> × [15608593238497425111664306796045878438325380494072110346481603939114965672523401918471969603192909367198299963587790195075668105035507890227352371195145853431629976356932576515044192575686244730733674657567141827191018283951758933971<233>] Free to factor
53×10253-449 = 5(8)2524<254> = 22 × 32 × 257 × 6131 × 26821 × 30009102313<11> × 13003608972077<14> × [99191520619522505106420192773497344202161774365181124126374622155853410229273632366142197585530507271649773100717943420746134863043751962033607270027820708269742582016957803858047540167727732539219039942424921289618767<218>] Free to factor
53×10254-449 = 5(8)2534<255> = 22 × 67151298369024309626147576627548355664734422727<47> × 2192395765948930551805999344876461646824563911237017031441449727420482815885738627504957747942051439723547930753720021691744601035468004129300321138164055483048793858952978328166681006854763218671311963168523<208> (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P47 x P208 / March 26, 2024 2024 年 3 月 26 日)
53×10255-449 = 5(8)2544<256> = 22 × 252829 × 2291281 × 208105447457<12> × 13098575302117<14> × 932310592056035164346195331251710862317426924754908834915391559739896864482896690110228491709790729573271939878509140407152460656836844160658756169600236575211146061921887906422267125931123498663973519679700878094000941<219>
53×10256-449 = 5(8)2554<257> = 22 × 3 × 7 × 67 × 87359 × 98094487217<11> × 76438521990933762559<20> × [15974038805609774513700857958089099603928396203379267154920206581386105903813440933439092919991844030971706802890474321520399901595903327144107013974880053080350050302903880231963694443502509685477935437103946723071139<218>] Free to factor
53×10257-449 = 5(8)2564<258> = 22 × 3080771 × 756592059361<12> × 63161461751619517857886026146172785379755335987528421344204358809281943465558246108198288640574839105351522041367063601199109839598573165767508957307974247816387507595856728325102847231898384290470617311046323017256824822339256371869322191<239>
53×10258-449 = 5(8)2574<259> = 22 × 73 × 443 × 274841969405666363<18> × 130087287437403562433278519156409<33> × 1273294528010910817625520968317690144302767001487755963356048360397175539604336659345473156971353840794433632629169845219447264881583077010567329835700622703191020247100457731934673762518339970722328783317<205> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1335755244 for P33 x P205 / September 4, 2022 2022 年 9 月 4 日)
53×10259-449 = 5(8)2584<260> = 22 × 3 × 127 × 2383 × 36541 × 125230371999832961<18> × 80257317581211516083332909086619<32> × 414250209267180155092498071634790331619<39> × 106582738588534679084672608134370393433220045841757263007105773470801363649552710191116256144483877058083678392786092880407411483708268494975212021179431487283707<162> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:492904168 for P32 / September 4, 2022 2022 年 9 月 4 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2928334178 for P39 x P162 / September 21, 2022 2022 年 9 月 21 日)
53×10260-449 = 5(8)2594<261> = 22 × 71 × 107 × 11662552564840694022082169<26> × [1661642639948850497932284108444583246466767538087547132449590757269279688258360526537112164382234626603272678655406836878160756497051164020273376187942056806006554058125393375495197408582879826512962141644889423657192563774394976297<232>] Free to factor
53×10261-449 = 5(8)2604<262> = 22 × 31 × 307 × 17077 × 165363724541<12> × 22623614997635306173555247<26> × 177230177341288712325842574141169<33> × [13662236599911130280565560114165379667490205013761106235050763559492402402101475268647261800360793140834396479440986589574977398631915406737047286495429321651523273092778503616321360063<185>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:512961820 for P33 / September 4, 2022 2022 年 9 月 4 日) Free to factor
53×10262-449 = 5(8)2614<263> = 22 × 32 × 7 × 232 × 13991449 × 409660019 × 7736013156661<13> × [9962622467444085796037930871812193375960980307422021959362272853864914155388415908654954213240451895674820997596342369290056865031544697104274615197195400951316077215614655304763346589619667615920010899039442603568113963020533653<229>] Free to factor
53×10263-449 = 5(8)2624<264> = 22 × 17 × 21943 × 144953574589<12> × 704863233689487647329<21> × 600489506889592921617060491<27> × 416109413466185188979715129346617702517<39> × [15459010535716945669394912006141223633484660580619738718212302856073868545266201521253907145602318569946555836681308323837258945345179195318657129843600250119713<161>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3270735012 for P39 / September 4, 2022 2022 年 9 月 4 日) Free to factor
53×10264-449 = 5(8)2634<265> = 22 × 1699 × 1044823277136295629331<22> × 3155781259595805123499377683<28> × [262802963152196467644010395365079258274771310472119019725369049885951056261514720757096689669735763262842842500541074568585246648568661292741271223326858188936268798535951768293532316640535820317510248629633904823<213>] Free to factor
53×10265-449 = 5(8)2644<266> = 22 × 3 × 29 × 59743 × [2832481547344693914455081107414348590489843800720792802392897512972177613310003946448441172105234321151118790663345587396709819362711318889131092782710891772290972428111564885343605343697693284746334389432094718011925452762555594397962887822037386233913081381<259>] Free to factor
53×10266-449 = 5(8)2654<267> = 22 × 73 × 10044623 × 507439759 × [395669318874056480024153585059097644081244338724036920079488347523595590443696443760395769541611094673628081727263735442388788235301827745143938038312077456989501974748106281160949009844093117292821798938877414425932119246081225531965986928903501061<249>] Free to factor
53×10267-449 = 5(8)2664<268> = 22 × 19 × 1160673189917<13> × 9917137573159<13> × 3022051336303291553<19> × 2227520140762758080008000751231302546357890425347483943979530378026520915509466690245080472382331327362071874424747144922484255751835300822251897046658336094383013541905306300405441373855860788109284127404493928004307287101<223>
53×10268-449 = 5(8)2674<269> = 22 × 3 × 72 × 61 × 5759693 × 17301359528702446121<20> × [16475804595172602055035847025520054211791430900448491610960804110740174111841776719662046564848392482441441871216366070889026000010746775361729612178622530931164534124980647085680310355775076261231463872770303280336507353938966408519523871<239>] Free to factor
53×10269-449 = 5(8)2684<270> = 22 × 47 × 317 × 30874709 × 26739229844011<14> × 37479579416869<14> × 319352097257161037201959648949416024585347549074077350199577902391440813355762206577895510649037548644924351301325019967716666211530287923971569313205946199791743650967374735082876400155661507632137458978424639637579268669545165909<231>
53×10270-449 = 5(8)2694<271> = 22 × 761 × 17243140037277409<17> × [112194703917689147079965506000932115627726354835983428405302895305816255810205462934389831496164601499148521088638647787365195776358693820117798704549568834453948709839274178010103835571848682104850831727652448172624208694728821009207088870254905667029<252>] Free to factor
53×10271-449 = 5(8)2704<272> = 22 × 33 × 227 × 56766331385487287357<20> × 7442945154972150814898951<25> × 5685230804363276925040897589481129274413953984646663650073286935812818204572300413979201177760018344417817190438544046042373298502080531728099111268650907930932658722032980625872080413388600229413930535580033345201040054807<223>
53×10272-449 = 5(8)2714<273> = 22 × 43 × 16320397921<11> × 2151456543157461374014190667175283<34> × 97508301504990928044354491006119272815039785315178883091940835153719591925744089691185583829253695655672575696684490563355947811947237419823303481522504334821033166758004736014077575333113040137521992352885792545345731978761629<227> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2213924848 for P34 x P227 / September 4, 2022 2022 年 9 月 4 日)
53×10273-449 = 5(8)2724<274> = 22 × 782925017527<12> × [1880412797220968962966183489240890514796607809665136688982177698287311944746311289911069698822880366514797762643116309194779411776764660741281749094456053700789946685157360758015340187741296741936346682381931756061058637468528254061790737658416787410225997743323<262>] Free to factor
53×10274-449 = 5(8)2734<275> = 22 × 3 × 7 × 73 × 113 × 1217 × 5881 × 715742329 × 33523202977268678014251963553<29> × [494890143292915919357404440884219381287476813294765141227073279439710588098167338379929151942867461532794164732351028533137413375902441284699433832487450522676360044166805946882707215003822947407613225411207485254580936926801<225>] Free to factor
53×10275-449 = 5(8)2744<276> = 22 × 234443748753425161061364430306870199890573<42> × 627963948729818050041277545187977032247405370957216298018262733388725451978964785476570795650837494983669080700349215656422577823675031235753138914721716795352940435262905867035191776909596020329084066005161963992499405153274911339777<234> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3874434085 for P42 x P234 / October 5, 2022 2022 年 10 月 5 日)
53×10276-449 = 5(8)2754<277> = 22 × 31 × 4416306474032846481126509737153<31> × 2034193175021492550785268804200090703282496153<46> × [5286403125385300436211633005124961643699135682580296169255963408023795181381598058140059252343809158394277051011855544722476933922685880134974197291766822183434416230598445217170566136153753099481099<199>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3462680036 for P31 / September 4, 2022 2022 年 9 月 4 日) (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P46 / March 25, 2024 2024 年 3 月 25 日) Free to factor
53×10277-449 = 5(8)2764<278> = 22 × 3 × 392362699 × 35726524981257716514613706767<29> × [350085098412981999358611838200261562515354812882025349144146005556072193480886346057448011398239236355007837838401874819128005639052992189759561489829613715375503134886151124626201164800003710404235497593305108212263425393643412980932437379<240>] Free to factor
53×10278-449 = 5(8)2774<279> = 22 × 5573 × 6547 × 1681440157<10> × 431052123815410003741651198720705051<36> × [5567122534318922438373816696846029610419121759840710203005817051617078037204621274516023464292552861675691040340793062713783670060210621930029842832136515943349177440122111156378085798350036161980156675133326733274269957574013<226>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:417828799 for P36 / September 4, 2022 2022 年 9 月 4 日) Free to factor
53×10279-449 = 5(8)2784<280> = 22 × 17 × 150973063 × [573620919312887515967869837510340278471212413732617992304955371301303800923441874965556417805637530195086454213912717202531383021393777192527549345682330029579406891484469347014347937498594864148721068138774422693740531410218298432958834681896871279544368015240776554651<270>] Free to factor
53×10280-449 = 5(8)2794<281> = 22 × 32 × 7 × 613 × 43829363 × 108411647 × 202445443385366974268293<24> × [396299238250263681822854107220481699421616887503872087756235021277614147860307207811206808822490744450231848672454698473281036455760088508025052538672408568385969603873209667232146578536858782082354098223311667864651026008354655497748983<237>] Free to factor
53×10281-449 = 5(8)2804<282> = 22 × 53271916296689<14> × 6885399281733087517742803<25> × 6850559295536761908136107448945021267802177317<46> × 58589513208959293798425284349822298118931214262883899410416189092410338190779371574141211181420666466679086626164804767635080087014721575020208680829435358368515309630443720553472030596788274664739<197> (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P46 x P197 / March 25, 2024 2024 年 3 月 25 日)
53×10282-449 = 5(8)2814<283> = 22 × 73 × 766030366247<12> × 34214651214138395352412031<26> × 21725289626158408102762176898567828956073877<44> × [35418228124340219881314481770487181382512901661297792762625472764351824703326656772361245620788349691660662809182089124868117738110540662498767379140941117623164053836752336959624569876377184870398393<200>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000 for P44 / February 14, 2024 2024 年 2 月 14 日) Free to factor
53×10283-449 = 5(8)2824<284> = 22 × 3 × 9375469 × 523430604635075579409137549002338699792768490558435786775830351250418235867177141474992601160262746045814604838158753168231627389243930880407946248599126871136516733979644901754505018085752020235724464280923696447335851401930656205828999851357559542611405083565142971237749003<276>
53×10284-449 = 5(8)2834<285> = 22 × 23 × 2557 × 7351092734163691<16> × 1112030741417171644325899<25> × 2923692269647363886236750663<28> × 1067548956112233928010235094582303<34> × [98113021496231009657881287650486308676166222696323176948902922071548162599117954530765893095600968803792267001856091974196788808110186913864671099459513653056113352518962493677511<179>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3911616773 for P34 / September 4, 2022 2022 年 9 月 4 日) Free to factor
53×10285-449 = 5(8)2844<286> = 22 × 19 × 6940853 × 5984401583<10> × [1865461078101025535888796166817889645177491807202947499061136025925978353134438151238930089856823966337831203587909513882157645502801850626115193689498164876638941585627603955459979401529481691481713801526369970170248594482835256518395835758318896554540071415300855341<268>] Free to factor
53×10286-449 = 5(8)2854<287> = 22 × 3 × 7 × 12577 × 35069 × 520699 × 47601341 × 69727453659947527577072999<26> × [919695145618294716284264832844968593334941568459260190895619505595902399517005617848720059302214176697060203259619435463785753485808441305477862125441718944759568511801706246636857454678682259287974522036722857796121209310430579945104197<237>] Free to factor
53×10287-449 = 5(8)2864<288> = 22 × 82003 × 53998387 × 59762341 × 70113833 × 81589336319<11> × 57121421909891<14> × [1702547038580362703963068091180794879339253452093888327066392231450974886195592013929928122069461804818199914269745455170762090638972313701825436577886457113977128505138525582361973737766834719332290120093954598137971490262122398192653<235>] Free to factor
53×10288-449 = 5(8)2874<289> = 22 × 229 × 6100489 × 6755059214021<13> × 156006997229255404037303976692992382386297690524110958346889629565098369466154678161662480671453248107426408682569863506920196045172935573369142676190958048907485613446701543632546910668763410696137106420002602934814840484023910588049755088557322799086926913248564621<267>
53×10289-449 = 5(8)2884<290> = 22 × 32 × 67 × 89 × 274325418268623590329666689440852334250511901582391827794030264822371703695422181642764123618279803645111935122556174599329610789166940992084935290256996333356107519000917178568249058494460696931489038370362088848309430790284946470311778601789222841265996277455833607658751601956923663<285>
53×10290-449 = 5(8)2894<291> = 22 × 73 × 1049753202778956163<19> × 1921158958913972515347063774996289800257543231797033809021837474752231310149540551841897251196581871736394659651213469450714359729022529276508144312341730809634352035084679311632491930257476934940480357653808317604349452914744017588701299535466876652505287667457358989879<271>
53×10291-449 = 5(8)2904<292> = 22 × 31 × 181 × 170101 × 632527837 × 24044978821<11> × 181640782265231<15> × 912960270783849836404254735056698379<36> × [611585174234888676094014792979209316771983237202505688386130264412630110610082612154081004545284940905687833373066051750032055131821042954589924800104860181035321342312123787531929158530268122158428456688980245407<213>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2147861832 for P36 / September 4, 2022 2022 年 9 月 4 日) Free to factor
53×10292-449 = 5(8)2914<293> = 22 × 3 × 7 × 5689 × 6679 × 50087 × 173005229017241<15> × 1682468090789033975475623<25> × 90481760546335833322129916444217977038424096281<47> × [13986677737320359236998704763830985093222746875032178113615011668353830880092868567144203919807939996315294036139501859574293821426358809545487519672906785738836276900481423125304520826919181351<194>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=43000000 for P47 / March 25, 2024 2024 年 3 月 25 日) Free to factor
53×10293-449 = 5(8)2924<294> = 22 × 29 × 43 × 701172799 × 1941401753475904943<19> × 875988087470918358103<21> × 96373784232481403676477217<26> × 1027328473541220846849393267194902101386418810292686442352904453880291069105601507426501692230010712801424185669802099145352818354616914952077205489129476532547911957207582070738337775671021670851487034066878113581749<217>
53×10294-449 = 5(8)2934<295> = 22 × 5471 × 23490869 × [11455329114194437318540470424086204753614754621647523413816551808204995160612220048175837004639944861458115403534650350266664766233964315050650527305053460285165054445044685093490176633721118165948159906042216058062403981650799216248771512411777245244085755392938324602663279207597479<284>] Free to factor
53×10295-449 = 5(8)2944<296> = 22 × 3 × 17 × 71 × 1873 × 31063 × 316373500559<12> × 10780612459800989508031342785113<32> × 20488970434503860692957836780795174152600752088251426346920227388347177513731253289881134706545002452085432421439487571753552177328572024956917436454775533959504769483749535219357380783450459211930435155381206531002515621482480086916737130697<242> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:723019700 for P32 x P242 / September 4, 2022 2022 年 9 月 4 日)
53×10296-449 = 5(8)2954<297> = 22 × 16626126551<11> × 9827763831583651<16> × 52424702238754489092601<23> × 26513377341899306882762419719573401<35> × [648226155026998364657211316954983556053212191648910363063443011514105875114775558928945793475464828019867022599678072934230174942293316180626039187412627745644382279444080421179366176310629462390981766870979774521<213>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2337238914 for P35 / September 4, 2022 2022 年 9 月 4 日) Free to factor
53×10297-449 = 5(8)2964<298> = 22 × 180233 × 83166634002925275893<20> × 900730119762809143181640451<27> × [109042361176952669530668497960547688206482925726813999150849386425379570661382839802580615387584117991306999233514697655359052428516663581810716097017543085087859846005895911222611266361106940493530029003160457533581179410407723056006028950476859<246>] Free to factor
53×10298-449 = 5(8)2974<299> = 22 × 35 × 7 × 73 × 1936111 × 52728187 × 119212693 × [9742055627737788116534822863133361274261939763120085508602149894299330614797737802030265264369929206593658392019755679654744604282385672205234414973726277567304977860765937045739648750353484087879730013644331648182791588555552169944710788262865378569001148548449256351177<271>] Free to factor
53×10299-449 = 5(8)2984<300> = 22 × 59 × 853 × 301993 × [9686691075922057013868740886725350368140576793195029020523710923923099233458747879665267404131335782286734046321998958132566905555864223611599617247557447603131209421039247738187529094073056523267088042967324238415257546433608818975519328028519578733631369682265810602788469894933034529411<289>] Free to factor
53×10300-449 = 5(8)2994<301> = 22 × 13183 × 269701 × 97355775281<11> × [4253190551732530386258771276657614619565130777473167026505617060107876518503472805779925152401254649620983838764865644928185820923186610977823076166442013470549584347807961058507344873164192597019427063271760072970813017351614837773671944834785557433076079801511801113072930166727<280>] Free to factor
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