Table of contents 目次

  1. About 700...004 700...004 について
    1. Classification 分類
    2. Sequence 数列
    3. General term 一般項
  2. Prime numbers of the form 700...004 700...004 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 700...004 700...004 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 700...004 700...004 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

70w4 = { 74, 704, 7004, 70004, 700004, 7000004, 70000004, 700000004, 7000000004, 70000000004, … }

1.3. General term 一般項

7×10n+4 (1≤n)

2. Prime numbers of the form 700...004 700...004 の形の素数

2.1. Last updated 最終更新日

November 25, 2022 2022 年 11 月 25 日

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

No prime number of the form 700...004 exists. 700...004 の形の素数は存在しません。

3. Factor table of 700...004 700...004 の素因数分解表

3.1. Last updated 最終更新日

December 21, 2024 2024 年 12 月 21 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=211, 216, 217, 221, 223, 224, 226, 228, 229, 230, 232, 234, 235, 237, 241, 242, 244, 246, 248, 249, 250, 251, 253, 254, 255, 256, 257, 259, 260, 262, 265, 266, 268, 269, 270, 272, 274, 275, 277, 280, 281, 282, 283, 284, 285, 286, 287, 291, 292, 293, 294, 295, 296, 297, 298, 299, 300 (57/300)

3.4. Factor table 素因数分解表

7×101+4 = 74 = 2 × 37
7×102+4 = 704 = 26 × 11
7×103+4 = 7004 = 22 × 17 × 103
7×104+4 = 70004 = 22 × 11 × 37 × 43
7×105+4 = 700004 = 22 × 139 × 1259
7×106+4 = 7000004 = 22 × 11 × 23 × 6917
7×107+4 = 70000004 = 22 × 37 × 79 × 5987
7×108+4 = 700000004 = 22 × 112 × 1446281
7×109+4 = 7000000004<10> = 22 × 67 × 2111 × 12373
7×1010+4 = 70000000004<11> = 22 × 11 × 37 × 2297 × 18719
7×1011+4 = 700000000004<12> = 22 × 175000000001<12>
7×1012+4 = 7000000000004<13> = 22 × 11 × 159090909091<12>
7×1013+4 = 70000000000004<14> = 22 × 19 × 37 × 883 × 1093 × 25793
7×1014+4 = 700000000000004<15> = 22 × 11 × 151 × 2531 × 41627111
7×1015+4 = 7000000000000004<16> = 22 × 223 × 5113 × 11839 × 129641
7×1016+4 = 70000000000000004<17> = 22 × 11 × 29 × 37 × 1482673896467<13>
7×1017+4 = 700000000000000004<18> = 22 × 175000000000000001<18>
7×1018+4 = 7000000000000000004<19> = 22 × 11 × 159090909090909091<18>
7×1019+4 = 70000000000000000004<20> = 22 × 17 × 37 × 7491929 × 3713588261<10>
7×1020+4 = 700000000000000000004<21> = 22 × 11 × 79 × 201380897583429229<18>
7×1021+4 = 7000000000000000000004<22> = 22 × 146519 × 1259537 × 9482725367<10>
7×1022+4 = 70000000000000000000004<23> = 22 × 11 × 37 × 2543 × 2963 × 223259 × 25559753
7×1023+4 = 700000000000000000000004<24> = 22 × 11546956723<11> × 15155508433787<14>
7×1024+4 = 7000000000000000000000004<25> = 22 × 11 × 71 × 1225171847<10> × 1828900194643<13>
7×1025+4 = 70000000000000000000000004<26> = 22 × 37 × 43 × 5897 × 1865248679750338063<19>
7×1026+4 = 700000000000000000000000004<27> = 22 × 11 × 9181 × 1732827677713855690111<22>
7×1027+4 = 7000000000000000000000000004<28> = 22 × 334183 × 5236651774626477109847<22>
7×1028+4 = 70000000000000000000000000004<29> = 22 × 11 × 23 × 37 × 43891 × 42593205695872083851<20>
7×1029+4 = 700000000000000000000000000004<30> = 22 × 3347 × 81307 × 295553 × 2175800274537473<16>
7×1030+4 = 7000000000000000000000000000004<31> = 22 × 112 × 3361 × 5738756123<10> × 749836189010827<15>
7×1031+4 = 70000000000000000000000000000004<32> = 22 × 19 × 37 × 163 × 443 × 344739774363286813622863<24>
7×1032+4 = 700000000000000000000000000000004<33> = 22 × 11 × 50093 × 2276579 × 139503658224979319653<21>
7×1033+4 = 7000000000000000000000000000000004<34> = 22 × 79 × 2213 × 29287 × 644629 × 79822649 × 6642302969<10>
7×1034+4 = 70000000000000000000000000000000004<35> = 22 × 11 × 37 × 179 × 1789 × 240143537 × 559125584235997969<18>
7×1035+4 = 700000000000000000000000000000000004<36> = 22 × 17 × 59 × 401 × 33432560957137<14> × 13014368450992291<17>
7×1036+4 = 7000000000000000000000000000000000004<37> = 22 × 11 × 51562354636549<14> × 3085408147325772212359<22>
7×1037+4 = 70000000000000000000000000000000000004<38> = 22 × 37 × 103 × 461 × 11351 × 136012939 × 6451843521881984579<19>
7×1038+4 = 700000000000000000000000000000000000004<39> = 22 × 11 × 54168157 × 4910033039<10> × 59815934150753328017<20>
7×1039+4 = 7000000000000000000000000000000000000004<40> = 22 × 1459 × 870007 × 1378668998332600686306311797277<31>
7×1040+4 = 70000000000000000000000000000000000000004<41> = 22 × 11 × 37 × 107 × 157271 × 43685654888047<14> × 58488753109571677<17>
7×1041+4 = 700000000000000000000000000000000000000004<42> = 22 × 61 × 169243903 × 1469666537<10> × 10746541723<11> × 1073266679497<13>
7×1042+4 = 7000000000000000000000000000000000000000004<43> = 22 × 11 × 67 × 5653 × 18851029 × 22282120258875782122171959529<29>
7×1043+4 = 70000000000000000000000000000000000000000004<44> = 22 × 37 × 67002514393<11> × 7059033190885537950933550915061<31>
7×1044+4 = 700000000000000000000000000000000000000000004<45> = 22 × 11 × 29 × 109 × 1116053 × 2969761058587<13> × 1518499104985920797821<22>
7×1045+4 = 7000000000000000000000000000000000000000000004<46> = 22 × 47 × 52071337 × 715058316117204545020653640208517559<36>
7×1046+4 = 70000000000000000000000000000000000000000000004<47> = 22 × 11 × 37 × 43 × 79 × 12657504562126287177803221371075359889019<41>
7×1047+4 = 700000000000000000000000000000000000000000000004<48> = 22 × 32396680154257<14> × 67359893483461<14> × 80192942408136372413<20>
7×1048+4 = 7000000000000000000000000000000000000000000000004<49> = 22 × 11 × 159090909090909090909090909090909090909090909091<48>
7×1049+4 = 70000000000000000000000000000000000000000000000004<50> = 22 × 19 × 37 × 1667 × 117252131 × 5481989052031<13> × 23232086466594191391641<23>
7×1050+4 = 700000000000000000000000000000000000000000000000004<51> = 22 × 11 × 23 × 10837 × 222527106324667<15> × 286830634494355438017675217523<30>
7×1051+4 = 7(0)504<52> = 22 × 17 × 139 × 7790935703<10> × 95057131982279801984851705519123048709<38>
7×1052+4 = 7(0)514<53> = 22 × 112 × 37 × 2741 × 4733 × 101987 × 2954340834804523500493666142917872583<37>
7×1053+4 = 7(0)524<54> = 22 × 129338813 × 1353035457345661584199013794876871183285097877<46>
7×1054+4 = 7(0)534<55> = 22 × 11 × 233 × 617 × 4789 × 5581 × 41404488028681706238087691317672072410659<41>
7×1055+4 = 7(0)544<56> = 22 × 37 × 3524557831<10> × 268858433941<12> × 499123501273183024420379808012863<33>
7×1056+4 = 7(0)554<57> = 22 × 11 × 26951 × 23562316409<11> × 25052582202937506175646843053039764843949<41>
7×1057+4 = 7(0)564<58> = 22 × 18356757457<11> × 95332740768586601040473724444002169287909004593<47>
7×1058+4 = 7(0)574<59> = 22 × 11 × 37 × 616061447 × 181799066042233160689963<24> × 383908705336692740310563<24>
7×1059+4 = 7(0)584<60> = 22 × 71 × 79 × 18536373083<11> × 36159452359<11> × 46548533408425975500292583911647437<35>
7×1060+4 = 7(0)594<61> = 22 × 11 × 2531 × 6203 × 10133312527809066712477731973339335805834567952004787<53>
7×1061+4 = 7(0)604<62> = 22 × 37 × 257 × 38953 × 34717949297<11> × 1360843633472242775481574659713354037826229<43>
7×1062+4 = 7(0)614<63> = 22 × 11 × 187597 × 2633022469609667<16> × 32208085413012301230530344348422467932709<41>
7×1063+4 = 7(0)624<64> = 22 × 131 × 269231 × 3165446140704283<16> × 15674971512765896029230033582080019824927<41>
7×1064+4 = 7(0)634<65> = 22 × 11 × 37 × 7681 × 23081 × 242533231518135900516781226814256595017546578517888463<54>
7×1065+4 = 7(0)644<66> = 22 × 149953 × 7703429482808273018089418657<28> × 151495167107497666582499191493281<33>
7×1066+4 = 7(0)654<67> = 22 × 11 × 2857 × 9210413861733212283593<22> × 6045830648641457552524275505012310255891<40>
7×1067+4 = 7(0)664<68> = 22 × 17 × 19 × 37 × 43 × 197 × 1193 × 36662734006421<14> × 247940520418416757<18> × 15939926719253577555306761<26>
7×1068+4 = 7(0)674<69> = 22 × 11 × 1171 × 34864673 × 37543019617427<14> × 10379434003408671346056158177617126814632651<44>
7×1069+4 = 7(0)684<70> = 22 × 18143 × 9200837 × 38285569529<11> × 273820840529848497341537439502528707956362554859<48>
7×1070+4 = 7(0)694<71> = 22 × 11 × 37 × 8274563229521593<16> × 5196351977121693794019917249512477783626176841309151<52>
7×1071+4 = 7(0)704<72> = 22 × 97 × 103 × 557 × 1319429 × 1777823 × 57455216745541694679443<23> × 233329624146573845380854650483<30>
7×1072+4 = 7(0)714<73> = 22 × 11 × 23 × 29 × 79 × 13477 × 2121289 × 8892601 × 216826751 × 24331113400241<14> × 2251104822866327426271990469<28>
7×1073+4 = 7(0)724<74> = 22 × 372 × 141221 × 69024311334131<14> × 1311394131272900424823604554900102071516256707586679<52>
7×1074+4 = 7(0)734<75> = 22 × 112 × 16005025634672278397<20> × 90364178399215133995717176228947026103741212711878973<53>
7×1075+4 = 7(0)744<76> = 22 × 67 × 947 × 219404909851585837<18> × 27186031515928401343<20> × 4624034960445904221466925969819539<34>
7×1076+4 = 7(0)754<77> = 22 × 11 × 37 × 919 × 94823 × 30306649 × 683184569 × 58016185817<11> × 8166225608153267533<19> × 50299992663071621579<20>
7×1077+4 = 7(0)764<78> = 22 × 177214601 × 987503281402868153059239176347551633174966209471645059314271739945401<69>
7×1078+4 = 7(0)774<79> = 22 × 11 × 347 × 1297 × 1888775491<10> × 968890208368519793441<21> × 193161694724013405857071366250971007586979<42>
7×1079+4 = 7(0)784<80> = 22 × 37 × 6971 × 17483 × 61967 × 17461450987<11> × 33953947233104749127454299<26> × 105631686673845666604636094291<30>
7×1080+4 = 7(0)794<81> = 22 × 11 × 91570548011611620529<20> × 6530376026470269077827<22> × 26604270880157331267342264982637579377<38>
7×1081+4 = 7(0)804<82> = 22 × 1657 × 11321 × 38554673791<11> × 51877652112377079463<20> × 46641596171247381874508979833365240560939001<44>
7×1082+4 = 7(0)814<83> = 22 × 11 × 37 × 4859891 × 24316172394823<14> × 363849595890351482437286914962654247721213374989143344260251<60>
7×1083+4 = 7(0)824<84> = 22 × 17 × 191 × 509 × 11867 × 22037 × 22892949442194845047<20> × 17686537308465143175808597398191443732081654071499<50>
7×1084+4 = 7(0)834<85> = 22 × 11 × 193 × 907 × 111539 × 48014080109<11> × 169701393375116756838258333897629734308148134000115809788681791<63>
7×1085+4 = 7(0)844<86> = 22 × 19 × 37 × 79 × 608565281 × 869067077999<12> × 595792678633295336869746489843988208569555560027722993412767<60>
7×1086+4 = 7(0)854<87> = 22 × 11 × 197551 × 21366391 × 19110035723<11> × 13008151040837<14> × 1075228213711513747<19> × 14101237848409136675307816585583<32>
7×1087+4 = 7(0)864<88> = 22 × 19483 × 3046201470547<13> × 511648767114227<15> × 1263551833150084362659<22> × 45609845445816475400408133854522057<35>
7×1088+4 = 7(0)874<89> = 22 × 11 × 37 × 43 × 113 × 81615592273815653142043529<26> × 108423545250145694551554333968245609370891814566933029213<57>
7×1089+4 = 7(0)884<90> = 22 × 151 × 117060871 × 182312027 × 54304276320019473387897812325174098299923933038671585668095479718412403<71>
7×1090+4 = 7(0)894<91> = 22 × 11 × 204447862451821<15> × 932220184425315193478955756467<30> × 834726665267058276126141993548283422478279413<45> (Eric Jeancolas / ECM for P30 x P45 / November 20, 2022 2022 年 11 月 20 日)
7×1091+4 = 7(0)904<92> = 22 × 37 × 47 × 44491 × 8015035627<10> × 28220249056600184767776753272720656396019484194581433207594393099157535387<74>
7×1092+4 = 7(0)914<93> = 22 × 11 × 6715988482966115995782091473359664595073<40> × 2368838325056903588306356301976256053714340076370467<52> (Eric Jeancolas / ECM for P40 x P52 / November 20, 2022 2022 年 11 月 20 日)
7×1093+4 = 7(0)924<94> = 22 × 59 × 107 × 9127 × 583777 × 70740721 × 5514974294989<13> × 71542972922801<14> × 1864005849804730870871200102495275213529712827<46>
7×1094+4 = 7(0)934<95> = 22 × 11 × 23 × 37 × 71 × 1619 × 233252650382977<15> × 69724276868240940224587618631528584565212729088068090597042301970341117<71>
7×1095+4 = 7(0)944<96> = 22 × 178333 × 494651 × 5096898685430157702329<22> × 325286626147617631587643477<27> × 1196562072345624342758845359322834859<37>
7×1096+4 = 7(0)954<97> = 22 × 112 × 1009 × 10156763325727377114109<23> × 1411257228968819390431140931282542225832724148679201971927326906236301<70>
7×1097+4 = 7(0)964<98> = 22 × 37 × 139 × 1776424291<10> × 183072073931<12> × 2165895925926794092727<22> × 16609728057793837726481<23> × 290838980323791502258175984641<30>
7×1098+4 = 7(0)974<99> = 22 × 11 × 79 × 3623 × 9419 × 52691 × 216436116310738888118257774357903706317<39> × 517462601944479941214596812991005222878243911<45> (Eric Jeancolas / ECM for P39 x P45 / November 20, 2022 2022 年 11 月 20 日)
7×1099+4 = 7(0)984<100> = 22 × 17 × 142873 × 954209 × 755084325213220853741923201560017099441304801890308220613429625081493228024428556982329<87>
7×10100+4 = 7(0)994<101> = 22 × 11 × 29 × 37 × 131063 × 190582067748577<15> × 59358579907992852094366492461979340935003217477244534051997981994053637916517<77>
7×10101+4 = 7(0)1004<102> = 22 × 612 × 14726967048055519967147950666995364973<38> × 3193486345636000064776803953049734954293518835923079011539197<61> (Eric Jeancolas / ECM for P38 x P61 / November 20, 2022 2022 年 11 月 20 日)
7×10102+4 = 7(0)1014<103> = 22 × 11 × 75937 × 566691039314667463192238770803549454517969<42> × 3696967070927777312718104237391816341328166809037784147<55> (Eric Jeancolas / ECM for P42 x P55 / November 20, 2022 2022 年 11 月 20 日)
7×10103+4 = 7(0)1024<104> = 22 × 19 × 37 × 341959 × 5160267139<10> × 218360318086733<15> × 64604501842980068139868788977165252540379534467796993157268746419121999<71>
7×10104+4 = 7(0)1034<105> = 22 × 11 × 4027981809816839561<19> × 136207249152634475797<21> × 28997305288259012570278419459897397831566940168081154384347504223<65>
7×10105+4 = 7(0)1044<106> = 22 × 103 × 937 × 14565869 × 1244872385707117444861954063644963390230871037838846257997518547343464918390890196466519277339<94>
7×10106+4 = 7(0)1054<107> = 22 × 11 × 37 × 1019 × 2531 × 16671601095403453522929043161187146912339024747708589173540557536999691574427072116372485611391287<98>
7×10107+4 = 7(0)1064<108> = 22 × 213713 × 8491829 × 1919109092075798641643<22> × 50246545014273540086460129645584900548910873043746210611604878802587999591<74>
7×10108+4 = 7(0)1074<109> = 22 × 11 × 67 × 389 × 7933 × 178609 × 464954694705358404779<21> × 9265514266146079166409374223650513681789753512922525025523942499191937539<73>
7×10109+4 = 7(0)1084<110> = 22 × 37 × 43 × 2617 × 11635439 × 92260151 × 3631219380036161817649<22> × 233561404936745654438980324253<30> × 4616508558906271739889572146895060851<37> (Eric Jeancolas / ECM for P30 x P37 / November 20, 2022 2022 年 11 月 20 日)
7×10110+4 = 7(0)1094<111> = 22 × 11 × 1098934183<10> × 17565641081<11> × 152706879111873517<18> × 5396983308050306745533416367609285410736567728955777765237928980473933601<73>
7×10111+4 = 7(0)1104<112> = 22 × 79 × 599 × 51834119 × 440157297787<12> × 1466361589943<13> × 1105399924534863268669219409596660848853427817152284179696930125712004063339<76>
7×10112+4 = 7(0)1114<113> = 22 × 11 × 37 × 163 × 263 × 571 × 10835437141<11> × 21223730108226190397961731935440670123<38> × 7638287958950102154442273059473922482835801042064847399<55> (Eric Jeancolas / ECM for P38 x P55 / November 20, 2022 2022 年 11 月 20 日)
7×10113+4 = 7(0)1124<114> = 22 × 10837 × 837619 × 10660967960880799<17> × 3180271501794914019161<22> × 568619330341566085039554766350991379457007390777316815635093460153<66>
7×10114+4 = 7(0)1134<115> = 22 × 11 × 1456594680949<13> × 286977951969776541838529446961<30> × 380590647528405437448585568269555752328223926206058963618521506236687719<72> (Eric Jeancolas / ECM for P30 x P72 / November 20, 2022 2022 年 11 月 20 日)
7×10115+4 = 7(0)1144<116> = 22 × 17 × 37 × 645433 × 169613744847479389027<21> × 321239837574020533613<21> × 1249392881726062124256863597<28> × 633208547970385152329563323258265471519<39>
7×10116+4 = 7(0)1154<117> = 22 × 11 × 23 × 96282725367381944422299811<26> × 7184046796596107172894173171070691653054546834323803576121183269694006348565466314247847<88>
7×10117+4 = 7(0)1164<118> = 22 × 2687 × 651283959806475623371790100483810941570524748790472646073688128023818384815779679940454037960550800148864905098623<114>
7×10118+4 = 7(0)1174<119> = 22 × 113 × 37 × 2851 × 16661 × 31985251 × 233889230104731326101371347861494392343605747428325969326032934963322103948785087313077685821249803<99>
7×10119+4 = 7(0)1184<120> = 22 × 1097 × 2970438859739110757<19> × 53704515554080890496110940496100575624226378453298914811498044653309232531803931077623334844497669<98>
7×10120+4 = 7(0)1194<121> = 22 × 11 × 1834816120141267204306240011805205069138873<43> × 86706731723427562498192530319431121788848125199373184596405610109980047710267<77> (Eric Jeancolas / ECM for P43 x P77 / November 20, 2022 2022 年 11 月 20 日)
7×10121+4 = 7(0)1204<122> = 22 × 19 × 37 × 1723 × 430181809 × 46092641759991191<17> × 728641334998017746346785550258479905429566757364645072474283671857290319867443730833896491<90>
7×10122+4 = 7(0)1214<123> = 22 × 11 × 149 × 337 × 2927 × 1078315387418255243156389996911893343871<40> × 100383115239185216537541228890594428763255588817864459887050006802005746871<75> (Eric Jeancolas / ECM for P40 x P75 / November 20, 2022 2022 年 11 月 20 日)
7×10123+4 = 7(0)1224<124> = 22 × 77073167 × 7015849079799857835700069<25> × 3236343462299434641188739896340716663500526845571074474696942194496926475458303211360379587<91>
7×10124+4 = 7(0)1234<125> = 22 × 11 × 37 × 79 × 9643 × 7087369019682829791381278413<28> × 7963781493446257358628901367536833093556191132554519074108037201067123739993463028639463<88>
7×10125+4 = 7(0)1244<126> = 22 × 14251 × 458391773582930149947629793591031<33> × 26788962452891117651830077400720522844228791219320849563324000410532676782862667891553621<89> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1466843985 for P33 x P89 / November 20, 2022 2022 年 11 月 20 日)
7×10126+4 = 7(0)1254<127> = 22 × 11 × 4111479283<10> × 15119423237<11> × 15340507354277886368733811353472517645192076699233<50> × 166829293135082471627434819287979694974608561522776415037<57> (Eric Jeancolas / ECM for P50 x P57 / November 20, 2022 2022 年 11 月 20 日)
7×10127+4 = 7(0)1264<128> = 22 × 37 × 359 × 938551198448537684310596454369671237<36> × 1403731053242587946304329648143095714823475800412274434533308156171650820142261114970831<88> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2394744719 for P36 x P88 / November 20, 2022 2022 年 11 月 20 日)
7×10128+4 = 7(0)1274<129> = 22 × 11 × 29 × 3246721 × 2088314662640663<16> × 2105898703348799<16> × 150787003448859849373303<24> × 254803312667942831106339319499837028852713161098683418558593424209<66>
7×10129+4 = 7(0)1284<130> = 22 × 71 × 67820339 × 8366219999<10> × 25875705641<11> × 217745788276061<15> × 7709895604922547096325236030421415352443252946450415118668105016308931896416282234871<85>
7×10130+4 = 7(0)1294<131> = 22 × 11 × 37 × 43 × 43019 × 513124487 × 9019530205079<13> × 62743208643701119<17> × 5413961816618409442316390947<28> × 14785169326950519430535754878721584680912232269459917611<56>
7×10131+4 = 7(0)1304<132> = 22 × 17 × 45990928583<11> × 2908457872570767247292100662853499630019<40> × 76958070648514303500413162447432692069452387589596240550294370400734706624900589<80> (Eric Jeancolas / ECM for P40 x P80 / November 20, 2022 2022 年 11 月 20 日)
7×10132+4 = 7(0)1314<133> = 22 × 11 × 431 × 1327 × 186271 × 230357 × 2107371771803<13> × 1980322290460758337<19> × 97834744160727430987357313809<29> × 15877435695315427105027174499143754475721802932104893531<56>
7×10133+4 = 7(0)1324<134> = 22 × 37 × 36642643015980188931164713<26> × 12907719914382408770857082207785820547859573853709843726983403489020344221000124660217603712987348989378021<107>
7×10134+4 = 7(0)1334<135> = 22 × 11 × 54539 × 385460878055947453741555455744467600423<39> × 756759508543026911252096432200820034906238071011682788277554872693346083799577049709500303<90> (Bob Backstrom / GMP-ECM 7.0.4 B1=28570000, sigma=1:268513245 for P39 x P90 / November 29, 2022 2022 年 11 月 29 日)
7×10135+4 = 7(0)1344<136> = 22 × 11338395568783<14> × 17006177844188140813<20> × 180079505865989323268934972449878455410152373<45> × 50398247798900306704808996241578986624554158208457810534303<59> (Eric Jeancolas / ECM for P45 x P59 / November 20, 2022 2022 年 11 月 20 日)
7×10136+4 = 7(0)1354<137> = 22 × 11 × 37 × 473912749 × 635426148334889<15> × 288246089702612393129<21> × 88697989970122536406622498231<29> × 5584740040815747525123506813878479714457579395508501278419237<61>
7×10137+4 = 7(0)1364<138> = 22 × 47 × 79 × 1082453392351<13> × 43541550857957422739381709263377131503759100389189680938981627751756000518226125268601708449147153496754161788757217607327<122>
7×10138+4 = 7(0)1374<139> = 22 × 11 × 23 × 1103 × 5141659769698859149<19> × 1219659715580322183931978120514786792015667986514844655511861897999663410627899768007100433508014431160818037034311<115>
7×10139+4 = 7(0)1384<140> = 22 × 19 × 37 × 103 × 4293421154548469<16> × 1614443655489484686203<22> × 692733434794707922140749216561<30> × 50333017234019411819792942013881869340403128421867666531687698497807<68> (Eric Jeancolas / ECM for P30 x P68 / November 20, 2022 2022 年 11 月 20 日)
7×10140+4 = 7(0)1394<141> = 22 × 112 × 1367 × 18869 × 68302902103<11> × 2412983016959493308415141844789<31> × 71626096579818539446917976706099751671<38> × 4749748052853968282791808544413143130280409886369671<52> (Eric Jeancolas / ECM for P31 x P38 x P52 / November 20, 2022 2022 年 11 月 20 日)
7×10141+4 = 7(0)1404<142> = 22 × 67 × 144555790751<12> × 39862992450481<14> × 277868544744229<15> × 16312422760430768621532084587229737922532177217157811249792191694284387394540036594127478604130452897<101>
7×10142+4 = 7(0)1414<143> = 22 × 11 × 37 × 617 × 69688076171058342857370410044640190507289372767492702662880944890669363927062468391479736698537346835564015466770734193748780458667006479<137>
7×10143+4 = 7(0)1424<144> = 22 × 139 × 419688784439<12> × 589018250789357<15> × 5092923271706214430001330996969485829855337695219043226518941551093681922217943804302717163921465597272891864273833<115>
7×10144+4 = 7(0)1434<145> = 22 × 11 × 2415168604182479297801781472350754967323320941134054189903<58> × 65871553984016966789360993289798821392677183547368746056128184498069493510046992479597<86> (Bob Backstrom / Msieve 1.54 snfs for P58 x P86 / November 25, 2022 2022 年 11 月 25 日)
7×10145+4 = 7(0)1444<146> = 22 × 37 × 269848815649707868681<21> × 319779333071378984406377<24> × 5481070849409838332000141327943714713125298744311363825369844475593577013308121116096808937038800829<100>
7×10146+4 = 7(0)1454<147> = 22 × 11 × 107 × 6269 × 608893919773318961004016438586462722516487<42> × 38951275050902366745759903163459460835366709088196405332628154313004639433752504232693421827341371<98> (Bob Backstrom / Msieve 1.54 snfs for P42 x P98 / November 26, 2022 2022 年 11 月 26 日)
7×10147+4 = 7(0)1464<148> = 22 × 17 × 2837 × 24659 × 9533763259<10> × 130757927416449267456661142280433469309288844321971<51> × 1180380263681742019741702838051083104848497118898970095203755661731023250437119<79> (Eric Jeancolas / cado-nfs-3.0.0 for P51 x P79 / December 4, 2022 2022 年 12 月 4 日)
7×10148+4 = 7(0)1474<149> = 22 × 11 × 37 × 2559743655941119<16> × 16797597250703785655447770587509727467397892932037743421886170842400586525125440894042754345351398115214874944266493398093747611097<131>
7×10149+4 = 7(0)1484<150> = 22 × 1489511 × 74481443 × 125831314976659<15> × 12535957660959009897102793753838314746790577238008163529122053134361372567382518835991898906514232068484951426943887816943<122>
7×10150+4 = 7(0)1494<151> = 22 × 11 × 79 × 6703 × 8766317787368714621875918873457570573813<40> × 34271399744441967574457813766054053811757233655064266859846471768618346532738302781758116709237861782711<104> (Bob Backstrom / Msieve 1.54 snfs for P40 x P104 / November 25, 2022 2022 年 11 月 25 日)
7×10151+4 = 7(0)1504<152> = 22 × 37 × 43 × 59 × 418830001 × 3866859286400623180106147875187627261<37> × 115111763153054747124647536584716451802706727561446595120942469013989069673292303834233344328407320089<102> (Bob Backstrom / GMP-ECM 7.0.4 B1=25340000, sigma=1:3102829808 for P37 x P102 / November 27, 2022 2022 年 11 月 27 日)
7×10152+4 = 7(0)1514<153> = 22 × 11 × 109 × 2531 × 6749690161<10> × 32687328819461<14> × 61829368926586949<17> × 1886025952572705503055850836765333215323<40> × 2241408284869031260836884431342240745585010667720287094556299372487<67> (Eric Jeancolas / ECM for P40 x P67 / November 20, 2022 2022 年 11 月 20 日)
7×10153+4 = 7(0)1524<154> = 22 × 497845977397605952677179496533<30> × 24659323999933163006614429400914078423<38> × 170449099030809527678413763788115793886363<42> × 836309768337872875701496392203430246536807953<45> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3992966222 for P30 / November 20, 2022 2022 年 11 月 20 日) (Bob Backstrom / GMP-ECM 7.0.4 B1=27190000, sigma=1:4249870630, Msieve 1.54 for P38 x P42 x P45 / November 30, 2022 2022 年 11 月 30 日)
7×10154+4 = 7(0)1534<155> = 22 × 11 × 37 × 977 × 2619619787<10> × 1484897819310161<16> × 903567092126502159128919249567326694603408345827403193612463<60> × 12521427365099906405895566645133259472697981706316524524914131099<65> (Eric Jeancolas / cado-nfs-3.0.0 for P60 x P65 / December 3, 2022 2022 年 12 月 3 日)
7×10155+4 = 7(0)1544<156> = 22 × 748876066424800739<18> × 2125425129314215332683<22> × 60855218474691586547462124889<29> × 2473900553076124270838114371365533824946227<43> × 730301551049365564021979502861804760623746291<45> (Eric Jeancolas / cado-nfs-3.0.0 for P43 x P45 / November 20, 2022 2022 年 11 月 20 日)
7×10156+4 = 7(0)1554<157> = 22 × 11 × 29 × 743 × 1873 × 2736812025894802787265721494585629231280184206649907<52> × 1440375763063268468629021731212303358843610412856018183783118930878752956238168630839187340158723<97> (Bob Backstrom / Msieve 1.54 snfs for P52 x P97 / November 27, 2022 2022 年 11 月 27 日)
7×10157+4 = 7(0)1564<158> = 22 × 19 × 37 × 269 × 439318409324541938910198566623324793<36> × 34133436369522154438510985924695193044133<41> × 6171219990240701737471081103463004770401631596395779453417803475068769189847<76> (Bob Backstrom / Msieve 1.54 snfs for P36 x P41 x P76 / November 26, 2022 2022 年 11 月 26 日)
7×10158+4 = 7(0)1574<159> = 22 × 11 × 2190607851051643686201763330023864373579257033938669857480382903331299689<73> × 7262409336044989597770608507142403418965414660755230507066216962100889473237683935019<85> (Bob Backstrom / Msieve 1.54 snfs for P73 x P85 / November 26, 2022 2022 年 11 月 26 日)
7×10159+4 = 7(0)1584<160> = 22 × 167 × 8149861 × 2020518356759748541<19> × 636368355399401558662566397050832446169156644145198087099549118730117556741746247947977994088515836350018346539400412564983255160103<132>
7×10160+4 = 7(0)1594<161> = 22 × 11 × 23 × 37 × 659 × 11047 × 190425386908772317<18> × 1348531787809927561466413188085081615438146276905694408724426391388910941547170169041905309937158652906356238931198015953913614484801<133>
7×10161+4 = 7(0)1604<162> = 22 × 61 × 181 × 265483 × 402270951739<12> × 11964903336649<14> × 1503507513458833179720263360114359019<37> × 7214972917186317233083214365089762690739<40> × 1143469926121163886461319504286413619028820063407617<52> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2418335030 for P37, cado-nfs-3.0.0 for P40 x P52 / November 20, 2022 2022 年 11 月 20 日)
7×10162+4 = 7(0)1614<163> = 22 × 112 × 166013 × 24300635622916577<17> × 13284337060797892828844411284351<32> × 269869037972955698504787060252234618198282386821434981834338715697381421584547036746735311480087609931168931<108> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1930263150 for P32 x P108 / November 20, 2022 2022 年 11 月 20 日)
7×10163+4 = 7(0)1624<164> = 22 × 17 × 37 × 79 × 631 × 252093497 × 23663844970163195682186851320237935923603<41> × 93558661188357326774353024789146440213941662406701143045947664712335766714994157023766124844075034850670591<107> (Bob Backstrom / GMP-ECM 7.0.4 B1=28180000, sigma=1:3340441265 for P41 x P107 / December 1, 2022 2022 年 12 月 1 日)
7×10164+4 = 7(0)1634<165> = 22 × 11 × 71 × 151 × 20602835798552116133291692250983819<35> × 43611081324914872829246294204352463<35> × 1651529027099854172108739122440874098150090351013982455723465374569041423955134195422505543<91> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1668605458 for P35(2060...), B1=1000000, sigma=1:3080486160 for P35(4361...) x P91 / November 20, 2022 2022 年 11 月 20 日)
7×10165+4 = 7(0)1644<166> = 22 × 197 × 299590356396503573321<21> × 29651317344833402194611205056209450134566987131287153237103948488402224965535951049422071940433827557930290719972930801777172268186229509931173<143>
7×10166+4 = 7(0)1654<167> = 22 × 11 × 37 × 38886819809886099418411460971<29> × 9812897474439806594654512658303029673<37> × 112679250721324979996294533287572273930141931687056655361041984977562073244377758655587862190043821<99> (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P37 x P99 / December 2, 2022 2022 年 12 月 2 日)
7×10167+4 = 7(0)1664<168> = 22 × 97 × 367 × 1648965222152396543097387850852263773307513182967148963529539<61> × 2981183809840226257342441185939794319447756781327118356507258064144403228576608701522293984440848544741<103> (Bob Backstrom / Msieve 1.54 snfs for P61 x P103 / December 1, 2022 2022 年 12 月 1 日)
7×10168+4 = 7(0)1674<169> = 22 × 11 × 32603 × 41482133867803085315006428734996593<35> × 7696632955892478366375671888177065314177771300929589168259<58> × 15283609571182950351991266498307165985379658016826120729413830537671331<71> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2713444343 for P35 / November 20, 2022 2022 年 11 月 20 日) (Eric Jeancolas / cado-nfs-3.0.0 for P58 x P71 / December 6, 2022 2022 年 12 月 6 日)
7×10169+4 = 7(0)1684<170> = 22 × 37 × 2077659938839<13> × 2158979902268509<16> × 8955639687350134839331<22> × 22148857072130565945746484206391155011<38> × 531575952841192120440612902339396845832812696930808197876672889776274749629299903<81> (Eric Jeancolas / cado-nfs-3.0.0 for P38 x P81 / December 1, 2022 2022 年 12 月 1 日)
7×10170+4 = 7(0)1694<171> = 22 × 11 × 22103209 × 1972890354108711428970886129901462920117<40> × 364827093969541598834853735889822385861378551078960555083105534392447487383464514237977481579246083476175238016258548927647<123> (Bob Backstrom / Msieve 1.54 snfs for P40 x P123 / November 29, 2022 2022 年 11 月 29 日)
7×10171+4 = 7(0)1704<172> = 22 × 9749 × 27827 × 10318297513293019<17> × 625177794863785967124469458058542865480615336071923740862454730473231509056669533955368536501487600166653465058910618658981875090285920961783074973<147>
7×10172+4 = 7(0)1714<173> = 22 × 11 × 37 × 43 × 9109 × 466046107 × 4205117338634503<16> × 26157082852358606954034665432284622106643925203699408412253497849867<68> × 2141451143124322233364573509483588127488572284214798781627355642361862527<73> (Eric Jeancolas / cado-nfs-3.0.0 for P68 x P73 / December 8, 2022 2022 年 12 月 8 日)
7×10173+4 = 7(0)1724<174> = 22 × 103 × 2437 × 35537 × 40357 × 1515575293054777<16> × 28484432364821149<17> × 715411841363441441<18> × 15739989828885096637997540128618859553178743110806852610920571228018982682645436997244455613394578031128420643<110>
7×10174+4 = 7(0)1734<175> = 22 × 11 × 67 × 97283 × 10988209 × 2221297330595948014814434635513691711549998316831348615271454801350630349161957456788644864916172257756579884836415080871470488030730113696217102484331312680059<160>
7×10175+4 = 7(0)1744<176> = 22 × 19 × 37 × 373 × 8652641 × 2337367982812798686112797801057071361259748754739475615571111769417069639439466931<82> × 3299879763586093804116771567088381560596420364923731639753022521214751390170265649<82> (Bob Backstrom / Msieve 1.54 snfs for P82 x P82 / December 2, 2022 2022 年 12 月 2 日)
7×10176+4 = 7(0)1754<177> = 22 × 11 × 79 × 499 × 10837 × 70933153 × 13988101681<11> × 61807745600424545829871<23> × 10402644362903705856536599494421806414571<41> × 987691531841251529302084166386734077309219<42> × 59100699743589324128314289406709077414480989<44> (Eric Jeancolas / cado-nfs-3.0.0 for P41 x P42 x P44 / December 2, 2022 2022 年 12 月 2 日)
7×10177+4 = 7(0)1764<178> = 22 × 7744133451882943075244189<25> × 21049846843136198831337847453<29> × 10735351776471885381508156846264930987720813781661351797186031327177106487484463893084106574583638241915299638968694871336953<125>
7×10178+4 = 7(0)1774<179> = 22 × 11 × 37 × 191 × 16447 × 120941 × 10755179 × 35247319 × 39443527 × 57239630570189<14> × 252658048211679324533540341892097453668647<42> × 523360077999090017768904805022251444075189831334238741188333746635109239298348141022539<87> (Eric Jeancolas / cado-nfs-3.0.0 for P42 x P87 / December 3, 2022 2022 年 12 月 3 日)
7×10179+4 = 7(0)1784<180> = 22 × 17 × 1149734329<10> × 70046412211<11> × 152380441794911562787<21> × 6900514826356902408034298500571001787<37> × 67784873323928270533752108515503148028049<41> × 1793338294709930802599839780059949031627346400618419084841027<61> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2562366487 for P37 / November 20, 2022 2022 年 11 月 20 日) (Ignacio Santos / GNFS, Msieve for P41 x P61 / November 26, 2022 2022 年 11 月 26 日)
7×10180+4 = 7(0)1794<181> = 22 × 11 × 809 × 641057 × 589984441 × 17152647415261<14> × 79666167601113619<17> × 380499902987715718372768539003795369360822553019026063120103108332705400697701608535800451626448907392851190005738980305826019084453<132>
7×10181+4 = 7(0)1804<182> = 22 × 37 × 2939 × 5881 × 3123521 × 349394957 × 1233094583683<13> × 20334247559804077342627924750516751517392034511342050791004947405773706541299736411749543298975862038586447983090678670193780115933172023465197497<146>
7×10182+4 = 7(0)1814<183> = 22 × 11 × 23 × 41659 × 1825794868949<13> × 1296738804922738476624794863<28> × 31311003049845041705220375282515431<35> × 223978956371519739933411108155148840158028561656654439750143280327391581186961833436592892937356369979<102> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:611018643 for P35 x P102 / November 20, 2022 2022 年 11 月 20 日)
7×10183+4 = 7(0)1824<184> = 22 × 47 × 3256674937<10> × 2408228390713<13> × 1176043811886851659151978656351515924503<40> × 4036868529427449621025161597847305298298436693509674343897945384676932001933277224030379230803908625669896379942681155481<121> (Bob Backstrom / GMP-ECM 7.0.4 B1=28900000, sigma=1:604773646 for P40 x P121 / December 4, 2022 2022 年 12 月 4 日)
7×10184+4 = 7(0)1834<185> = 22 × 112 × 29 × 372 × 675414821 × 3753797218403<13> × 2466442425034643504145692539617250447<37> × 5323887599838218677398183337313943647<37> × 109423342766609486332189490421829115766599545515774381022710059800793500480987764443<84> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1633869675 for P37 / November 20, 2022 2022 年 11 月 20 日) (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:3925271915 for P37 x P84 / November 27, 2022 2022 年 11 月 27 日)
7×10185+4 = 7(0)1844<186> = 22 × 7639 × 8023153 × 5246413020135614917800441436668001890409<40> × 8777095168918622264019826334007027932647<40> × 119938857328639110669819929492089235206119641<45> × 516991345499492939473915970597705595310635233170321<51> (Bob Backstrom / GMP-ECM 7.0.4 B1=25430000, sigma=1:3723631747 for P40 x P40 x P45 x P51 / December 6, 2022 2022 年 12 月 6 日)
7×10186+4 = 7(0)1854<187> = 22 × 11 × 967 × 904596367228823787278606199489023328469528391<45> × 181871249331582021900333074050697738300347034093951747487329649128408253016504695660635282338805169453147789725389701837734260327071664403<138> (Bob Backstrom / Msieve 1.54 snfs for P45 x P138 / December 6, 2022 2022 年 12 月 6 日)
7×10187+4 = 7(0)1864<188> = 22 × 37 × 18759471373793333<17> × 827891911134497722937959710638945231<36> × 30453841921716002836923684590159774053838290327667712063877564162687893381338102615033856343087883257846004292643333368390441540035351<134> (Bob Backstrom / GMP-ECM 7.0.4 B1=27080000, sigma=1:312570060 for P36 x P134 / December 6, 2022 2022 年 12 月 6 日)
7×10188+4 = 7(0)1874<189> = 22 × 11 × 14146680935495757165372336052519797610744799119261920988927640962952204165963808086716399<89> × 1124581163711203042055214197066917217234073934550028747424031727053895924835255601977333839030938509<100> (Bob Backstrom / Msieve 1.54 snfs for P89 x P100 / December 6, 2022 2022 年 12 月 6 日)
7×10189+4 = 7(0)1884<190> = 22 × 79 × 139 × 768203 × 207453209560130554799990879598221713126619249132394788214280117240457743098066303348107394998225091389519479240123119174330753927735651538087974868219150947896574313331627853780007<180>
7×10190+4 = 7(0)1894<191> = 22 × 11 × 37 × 7472243 × 126452245093697103556639093584659<33> × 16273720327756598686032470287034218848626813530394672169096676579585731883<74> × 2796271008744632524254021265797676934863682039325523012759483356375637259533<76> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:430003406 for P33 / November 20, 2022 2022 年 11 月 20 日) (Bob Backstrom / Msieve 1.44 snfs for P74 x P76 / April 13, 2023 2023 年 4 月 13 日)
7×10191+4 = 7(0)1904<192> = 22 × 71352719 × 2452604504111469108836623310738866167104297735311250016975526889171525474733485629328295113743317896547151903209182540051487035833911248707985465837678869672787101497842009356363840879<184>
7×10192+4 = 7(0)1914<193> = 22 × 11 × 14323450143461<14> × 1018791286530929333<19> × 10902158731552132374072037704904589727335418185167323152501547971311978688217956424798954757746056549567146608961373941534224300614383068653592136472162771374507<161>
7×10193+4 = 7(0)1924<194> = 22 × 19 × 37 × 43 × 131 × 163 × 1837327244041<13> × 806771516100079111<18> × 26220596110321545102839<23> × 32994678252975385656660299609267924669331804920459337973<56> × 21141307252436187525214317918293928769252895514013005059155408079850085886009<77> (ebina / Msieve 1.53 gnfs for P56 x P77 / December 4, 2022 2022 年 12 月 4 日)
7×10194+4 = 7(0)1934<195> = 22 × 11 × 153133 × 103890676138330138447683326971266213624163902679963881664364251396439102550783246648932033532348291413940229022543089400004630555850737000456525314002147865521534162519449818725611663776527<189>
7×10195+4 = 7(0)1944<196> = 22 × 17 × 102941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882352941176470588235294117647058823529411764705882353<195>
7×10196+4 = 7(0)1954<197> = 22 × 11 × 37 × 1453 × 70207 × 421500029614941323627458349447657811967694499608703060807152834846655531532033445738225010994158087458656670117683386566532249256282388038641503287898323967603357717956498902875634015133<186>
7×10197+4 = 7(0)1964<198> = 22 × 56679313121<11> × 127925011754640551080799748405677496364064347<45> × 635532388264825210088504303033338170123999998276952023886857<60> × 37976970432568116248604256177846221692702002648693266187581971093867609674764264539<83> (Bob Backstrom / Msieve 1.54 snfs for P45 x P60 x P83 / December 19, 2022 2022 年 12 月 19 日)
7×10198+4 = 7(0)1974<199> = 22 × 11 × 2221 × 2531 × 25117 × 513182737 × 1971208884812886614971147691792611704399026630027938554281110743328505325544950996943667<88> × 1113864101992095334055784523837665753308641429581965383582561931574481724210888512517022787<91> (Bob Backstrom / Msieve 1.44 snfs for P88 x P91 / February 14, 2023 2023 年 2 月 14 日)
7×10199+4 = 7(0)1984<200> = 22 × 37 × 71 × 107 × 2439333343<10> × 8398078773834787<16> × 19471219024176702533806253413942740366116055623923<50> × 156080971667332878013447854646807352510249001088863417202392395571921419471221893634111390241622717212547974072439306263<120> (Bob Backstrom / Msieve 1.44 snfs for P50 x P120 / May 15, 2023 2023 年 5 月 15 日)
7×10200+4 = 7(0)1994<201> = 22 × 11 × 113 × 11383 × 1671274585629863<16> × 268485840855073837<18> × 134912700902123196748516080568246353991<39> × 522152629386578751006676158972521427665874652503960234061<57> × 391282731660935676162838568007619535525619713306511127032249530509<66> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:448540019 for P39 / December 29, 2022 2022 年 12 月 29 日) (Eric Jeancolas / cado-nfs-3.0.0 for P57 x P66 / January 1, 2023 2023 年 1 月 1 日)
7×10201+4 = 7(0)2004<202> = 22 × 1459 × 1313435836980014445687583131149238882846707<43> × 204449720689106925955896276041393926265778753557055253833901538411<66> × 4466706055594731491523439671472326139824181782668234583238821137475222825060625588869477707<91> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1831427856 for P43 / January 5, 2023 2023 年 1 月 5 日) (Stefan Straleger / Msieve 1.54, gnfs-lasieve4I14e for P66 x P91 / April 4, 2024 2024 年 4 月 4 日)
7×10202+4 = 7(0)2014<203> = 22 × 11 × 37 × 79 × 3036919 × 9032167 × 30752087163400168997239365804081939298726151366478054059935056635404930238976794186791<86> × 645233316015173887790799609539364234795334430492219004736981977251580544429674742208512804241240719<99> (Bob Backstrom / Msieve 1.44 snfs for P86 x P99 / June 25, 2023 2023 年 6 月 25 日)
7×10203+4 = 7(0)2024<204> = 22 × 1439 × 1877 × 3861709 × 480111031 × 584216117 × 14959180211<11> × 5438982976735639<16> × 21590457613994531363594064899<29> × 34051079022312976185202894162865592537125117639126160650022988641495466406203564703711341216468110374504640839201914939<119>
7×10204+4 = 7(0)2034<205> = 22 × 11 × 232 × 168986484062079315139<21> × 2188721888152053445905533<25> × 813105952325469681099264323748743547248979792418508752951974382200556712674300116051645386741793686538996224969053959417508964146367494154619590292797898917<156>
7×10205+4 = 7(0)2044<206> = 22 × 37 × 147286241 × 399653056367<12> × 29222032517396093673902174093039417629081199383<47> × 274967007973618142283738470985672384939558430602291632997734580308454878573584271119423563833201707271500800827100941936429088713481232373<138> (Ignacio Santos / GMP-ECM B1=11000000 for P47 x P138 / November 27, 2023 2023 年 11 月 27 日)
7×10206+4 = 7(0)2054<207> = 22 × 112 × 10369 × 3298930942317427<16> × 42280739974849223597129109051553934291308972161021867880517256609846896947345887704529182236234338749886327933166168872820794670914799267845142508665215064996022798981762523915184207187<185>
7×10207+4 = 7(0)2064<208> = 22 × 67 × 103 × 8747 × 69427 × 98092074153205655896489<23> × 41270736698313951059146943393247535513<38> × 103148366878054021701870716607702879917050109508947296524401663285754574458722635914209726470457944874448397658409825955028211499382797<135> (Dmitry Domanov / for P38 x P135 / December 28, 2022 2022 年 12 月 28 日)
7×10208+4 = 7(0)2074<209> = 22 × 11 × 37 × 243754802338251107<18> × 6631525714111038277585023084784153520451867787516696201031<58> × 26599716061504686963274817266084962106739104633113598480087190905656444889289334941457778323941197252658344244337557481795274225579<131> (Bob Backstrom / Msieve 1.44 snfs for P58 x P131 / August 31, 2024 2024 年 8 月 31 日)
7×10209+4 = 7(0)2084<210> = 22 × 59 × 2321305348473707<16> × 10648986980157993619<20> × 3005765890861453548932429293564405064955710638437527<52> × 4041703719588905349478862836921261464954322405959454537<55> × 9877017951425217409131972389172744662377198610948900752859417558317<67> (Bob Backstrom / Msieve 1.44 snfs for P52 x P55 x P67 / December 3, 2024 2024 年 12 月 3 日)
7×10210+4 = 7(0)2094<211> = 22 × 11 × 59364233283090496672316025144253<32> × 65290641732937948148072358553816001<35> × 146402118578228563331851215327804938821938245938087231594749153560381<69> × 280363970492448410404874745011036724897656316445584497696277467202252997387<75> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3493248186 for P32, B1=1000000, sigma=1:3738951341 for P35 / November 20, 2022 2022 年 11 月 20 日) (Normsn Powell / YAFU 2.09. for P69 x P75 / November 6, 2023 2023 年 11 月 6 日)
7×10211+4 = 7(0)2104<212> = 22 × 17 × 19 × 37 × 16981 × [86232413275039499249657279128571301229032151390649679485699637889400878923133170869167192138249026999028594328239916470652589312253190822263559358360085379155864599165553081813159776820856413910971517971<203>] Free to factor
7×10212+4 = 7(0)2114<213> = 22 × 11 × 29 × 179 × 2011 × 18461 × 11659050009451226210393959<26> × 130433216203714772762837179128727663051<39> × 54284478929057352869679685530961477659723814819277678905721198280457374986088776169347251209669353999465474611868686228306324093776507959<137> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:3668406429 for P39 x P137 / December 30, 2022 2022 年 12 月 30 日)
7×10213+4 = 7(0)2124<214> = 22 × 503 × 20376757 × 612669124513<12> × 2263706450783369089139<22> × 33239922610909105366643<23> × 3703641060244365467454623519539870582135797929054838532551665232536275029315178885257346535798441838090900896805715796299176051831212238586355447731<148>
7×10214+4 = 7(0)2134<215> = 22 × 11 × 37 × 43 × 1549 × 1663 × 55609 × 363635687 × 3104149111820910584209<22> × 6184112171525860796246636354794621086008487291106464513880599515517280058334435440060729934264979379171307753840840870979741479561073558020705198431777310811402055852009<169>
7×10215+4 = 7(0)2144<216> = 22 × 79 × 229 × 3491 × 37721960565277071608777123<26> × 2408475570476513044797636119<28> × 1585122419433509003800392813857<31> × 7560438715311885727078954991397204170830511290559208521<55> × 2544950373769554578278754005547357098756919255779250534042672963854789<70> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1317861589 for P31 / November 20, 2022 2022 年 11 月 20 日) (Ignacio Santos / Msieve 1.52 gnfs for P55 x P70 / November 27, 2022 2022 年 11 月 27 日)
7×10216+4 = 7(0)2154<217> = 22 × 11 × 100787 × 27605477036771<14> × [57180189308648878706231168622099679488106800853306265738314031201149889311259524537826003065576785404117632629679962909405421786762600011595551598669391686974873481622463533759102409910831553997883<197>] Free to factor
7×10217+4 = 7(0)2164<218> = 22 × 37 × 744592111814202320041<21> × [635210829484309217844614472684959446039139097891822508685079627925034875471014124857731335628839170508088389721912352232128547182953332253161133701854737965002493206780456933504876988382727658853<195>] Free to factor
7×10218+4 = 7(0)2174<219> = 22 × 11 × 9836534934851503<16> × 1617347065247939393208408725604162982768396206539073062560268703164212501475029527043757360537093212271358219056815741441392955116456711770610670152303106904638431538809860614715311716706091151081221197<202>
7×10219+4 = 7(0)2184<220> = 22 × 222144199 × 155954493741361361<18> × 9859104999080229508114442225512059457<37> × 5123511164471483403795476454164085923065019716965665146170904945477259976469974799070503922669676440219108357329338282434083877557038629038170975447838980487<157> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1641607680 for P37 x P157 / January 7, 2023 2023 年 1 月 7 日)
7×10220+4 = 7(0)2194<221> = 22 × 11 × 37 × 701 × 13002461231<11> × 4507214542099024941366822581680646671<37> × 451150643212851096210041974649342786461200879641<48> × 1163196604821365169897269473997325782900892370193192449<55> × 1994422276562459864495267251230777202861237495594265693652671224427<67> (Dmitry Domanov / for P37 / December 28, 2022 2022 年 12 月 28 日) (Erik Branger / GGNFS, NFS_factory, Msieve snfs for P48 x P55 x P67 / December 19, 2024 2024 年 12 月 19 日)
7×10221+4 = 7(0)2204<222> = 22 × 61 × [2868852459016393442622950819672131147540983606557377049180327868852459016393442622950819672131147540983606557377049180327868852459016393442622950819672131147540983606557377049180327868852459016393442622950819672131147541<220>] Free to factor
7×10222+4 = 7(0)2214<223> = 22 × 11 × 399903768350637794689381607039<30> × 294528235247528164333037979441471821592481<42> × 1012916167118388680344383988227590452343357<43> × 1333488973226044518397575121382280592376382189270263092089823875111262606359577040334002579910415118294211457<109> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3108043486 for P30 / November 20, 2022 2022 年 11 月 20 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:736691523 for P42 / February 4, 2023 2023 年 2 月 4 日) (Ignacio Santos / GMP-ECM B1=11000000, sigma=1:2881689190 for P43 x P109 / February 7, 2023 2023 年 2 月 7 日)
7×10223+4 = 7(0)2224<224> = 22 × 37 × 26633 × 31981 × 15350038661<11> × 9799001051789<13> × [3691755395068862767201284249989540771336669150387126242635131338577891982826299667286699363322195948941387433061885440615682753205245474922991657623799564987444542171164207059606901895696569<190>] Free to factor
7×10224+4 = 7(0)2234<225> = 22 × 11 × 4872 × 5569 × [12045094821622934999414409819677351746642897908064653452771503363036830604908383532058110825422623070704890170171709980091976717111706635634429558103634673087344978737448332110630136946139110839776865813302841434131<215>] Free to factor
7×10225+4 = 7(0)2244<226> = 22 × 1104698836349<13> × 650399114215872349<18> × 857535213467496514549499<24> × 2840287145341913909170232730702448586004199159599962535157193494522400529424392388512566937253245864721399390549963250242261131579369931266583027056357824107283033500074299<172>
7×10226+4 = 7(0)2254<227> = 22 × 11 × 23 × 37 × 2538190439662262957114264681<28> × [736531964656787439494983406209638006479093970802234092614713755281739390568161265372127514642048868278008160790318191572113739040429396973496998364930575772694337609646472856382909969432161922761<195>] Free to factor
7×10227+4 = 7(0)2264<228> = 22 × 17 × 40582898989<11> × 92302923199<11> × 18842777272697641<17> × 609167603589531592310520840988358273927<39> × 239413641027790610207732999340983925359876107753408206320151604486464774195079662739810305643644764530440595796559412009641317472886102474686069159989<150> (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:394220639 for P39 x P150 / January 6, 2023 2023 年 1 月 6 日)
7×10228+4 = 7(0)2274<229> = 22 × 112 × 79 × 15791311 × 100155493 × [115753099069732219990048849219966709160813437468150304764505716697042750486569815444649245180512454915468403194866341001217617202804712953974230529233664458989733565494355433048866440395752656612848364372528693<210>] Free to factor
7×10229+4 = 7(0)2284<230> = 22 × 19 × 37 × 47 × 22355087 × [23692369729175494964041940638253432481293535510387866533649055878792491700552259534312702399152176183870676442223256367135052189442993603789653063479480338449177066588262978524732281571560478057441334001817512924203903<218>] Free to factor
7×10230+4 = 7(0)2294<231> = 22 × 11 × 617 × 144839 × 40094867 × 145461919 × [30523658915557571712086268388857422903208563386051133607418031442167138573676285804533726043477286028824038529335557921828636783387923109596877746271381944520427798520367130315274864657978955719380702631409<206>] Free to factor
7×10231+4 = 7(0)2304<232> = 22 × 2785240097<10> × 90635389679<11> × 6932304067005099166747702466033985303042570006216467893313042212801231627540107616308517856764160082667897108816829983286264097306481976048681327938793885209087261607437616016580661671372889594617813836569018927<211>
7×10232+4 = 7(0)2314<233> = 22 × 11 × 37 × 418909 × 37319540766307<14> × [2750348058182749847257117930348101082910364849248200573403852320243050472223745243577206813102107022991296483790593283151483301834241758000332696961706502910974684311792861790785956579738155155648315174222746961<211>] Free to factor
7×10233+4 = 7(0)2324<234> = 22 × 2612393419<10> × 53991387707869<14> × 1750386248710399088179<22> × 322232452961899705721941168303<30> × 2199742306758598724671256529150165432413093875800048783456136621496309202973153883672256016797451365730962686123415163354503982722293162425376903417081164986443<160> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:610537590 for P30 x P160 / November 20, 2022 2022 年 11 月 20 日)
7×10234+4 = 7(0)2334<235> = 22 × 11 × 71 × 7109 × 60107575915335941593946101<26> × 3973024281399538337938954925577356574402843251<46> × [1319860609204938432445045490119950935218329889607636958439963200323233939803546115389866324260984324801566600611558121226657684750438737033589683513749326319<157>] (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:1710319614 for P46 / March 1, 2023 2023 年 3 月 1 日) Free to factor
7×10235+4 = 7(0)2344<236> = 22 × 37 × 43 × 139 × 401 × 907 × 5952002794281679<16> × [36554284085469179986231281023394568492939962211033961008402022768741359813928537009434644577351282967355113486848389471360586827661181188624725334664861245407229366347267370060830722365824087831010732745159233<209>] Free to factor
7×10236+4 = 7(0)2354<237> = 22 × 11 × 1270343 × 3208451 × 28225763558939<14> × 138287604766269223764213683499954404166708401078907177699412699071782809278002791659616639018886491305981691134820593767808027743680905392820914220459690567461113354915960566472017414286794466410529448794337333<210>
7×10237+4 = 7(0)2364<238> = 22 × 223 × 602508718699<12> × 15081997445689261318149132934449479<35> × [863596725435660283057326112050158229395893278614003273749187434248144473297204855249545925483309842543723352370867107808894512024500185381147861138812449335178903482214005216541010819290747<189>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:383742730 for P35 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10238+4 = 7(0)2374<239> = 22 × 11 × 37 × 42997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997542997543<236>
7×10239+4 = 7(0)2384<240> = 22 × 151 × 10837 × 18457 × 5041392580703<13> × 1149318501372533606252502341837449858090094408021294721584159392843675199411434603987435288206634721404364614444469953009607240816987512530276558963214187065380833133364738398394460392416834120987459861639637648486813<217>
7×10240+4 = 7(0)2394<241> = 22 × 11 × 29 × 67 × 31537717 × 240968372393836741678891883711<30> × 10774131376891998165012707047950295064677806122669971151494124896637077086181276539144820598887045446446981142729822739646435413922490176614449318598215391876442145623944472130533347553322405431185951<200> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2787850161 for P30 x P200 / November 20, 2022 2022 年 11 月 20 日)
7×10241+4 = 7(0)2404<242> = 22 × 37 × 79 × 103 × 419 × 2579 × 2612030838329089<16> × 18752575148253887<17> × [1098164572502878997844149877175767023565802249729939376811267551998793229865234638535784021245003830043280496160103899114395788501897927778339699683948894591969180514055312393538181376403955238567603<199>] Free to factor
7×10242+4 = 7(0)2414<243> = 22 × 11 × 7529 × 1372879 × 2784091 × 25216669 × [21923236061057646034696540682986511251292102855352035466767774467007703166159199802520680721031686043111617291746090760884287163271499183837625412477407749982694353715629821948744210475070319856457077800803590339268619<218>] Free to factor
7×10243+4 = 7(0)2424<244> = 22 × 172 × 1712353 × 6997074269<10> × 61903339493<11> × 718630694521459<15> × 15144678148783054705033469<26> × 141135815516835047358623273953<30> × 5315122721184794633830664884413188956117334779137450761768258893539579503736047327167956808677892077104108291010853330534798211569899125687576743<145> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:172119174 for P30 x P145 / November 20, 2022 2022 年 11 月 20 日)
7×10244+4 = 7(0)2434<245> = 22 × 11 × 37 × 2531 × 3343 × 21128174998093<14> × 450701513088696720869<21> × [533659341874070648802430331188572502024818135929823382622492561860207145930693945344250324230888924769266244696531332232960581470736121263717305928084127112960200468600498564110919126299903421370988963<201>] Free to factor
7×10245+4 = 7(0)2444<246> = 22 × 81619 × 2144108602163711880812065818008061848344135556671853367475710312549773949693086168661708670775187150050846003994168024602114703684191180975018071772503951285852558840466067949864614856834805621240152415491490951861698869135862973082248005979<241>
7×10246+4 = 7(0)2454<247> = 22 × 11 × 28277 × 3242686467373419334202848117201<31> × 5329510617686962973072544570655916017250503<43> × [325551530030033233682779515125572604070119428043679188178854618186245867496046355257483251045618028523081772117302894299727774047156803196204803203905165194950457709761<168>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3685970375 for P31 / November 20, 2022 2022 年 11 月 20 日) (Dmitry Domanov / GMP-ECM B1=11000000, sigma=1:3645207627 for P43 / January 14, 2023 2023 年 1 月 14 日) Free to factor
7×10247+4 = 7(0)2464<248> = 22 × 19 × 37 × 44879 × 55810985473<11> × 194843255041<12> × 223029621088230588259<21> × 951201841327797733775369<24> × 16948209388990728685743190556479<32> × 387957280838038512467677447147033<33> × 36567184960922662601998390852632464344434155590166603811195951111106518129070998918776167860071231014606135013<110> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2684051243 for P32, B1=1000000, sigma=1:218578425 for P33 x P110 / November 20, 2022 2022 年 11 月 20 日)
7×10248+4 = 7(0)2474<249> = 22 × 11 × 23 × 15227 × 3135623 × [14487029297599917984202818414985033145234245320806805631458701202021552145317693486519433613275993464666428084661996432857153007992716212642888647047607525772657728518765147459943715971690489559412250328451688678289828740451285167887577<236>] Free to factor
7×10249+4 = 7(0)2484<250> = 22 × 6607 × 191406603856390008971<21> × [1383811145801993810697783312118362567870384786945761729646226345596555816385545692216937989197566557153244237317219099515732971627225717013695256327602962485811681291042273536482521228151606837362745070083683145196926108378733<226>] Free to factor
7×10250+4 = 7(0)2494<251> = 22 × 112 × 37 × 301881469 × [12948352074009490111557521453302887848763745625648190338692635262431126130319814965504947766284793356049711846881906486868977506772712533963272953271586266060121504479248863895529185329943641357702893346088577670137131928288232631101598777<239>] Free to factor
7×10251+4 = 7(0)2504<252> = 22 × 347 × 26451899 × [19065654476096600373375262253374846988167834023334421611422333304555053418595757976225523908668284055960784305475455732584305810422939739772139039965918767717923107752039078746037389062541478522916152910149801218986107815550695883407390492617<242>] Free to factor
7×10252+4 = 7(0)2514<253> = 22 × 11 × 107 × 443 × 3356277485515265308940547859558007023250372546800892194449292400812410938779580791352694899033583871456490177614204533467840149133792727809731670409715176703214930256553850992786880215415478384614056857258477477460199343703911118100692160311155691<247>
7×10253+4 = 7(0)2524<254> = 22 × 37 × 1063 × [444941649080877679184358394142025374386616155195647199410134499504207876738450586051714932241743154254913427067707406371564414838168365920012204113803361216343342401667895553126032900256794894612392260557829701761968930360275609570059240802420482571<249>] Free to factor
7×10254+4 = 7(0)2534<255> = 22 × 11 × 79 × 877 × 2143 × 2587139 × 40748589135451<14> × [1016398858278962925537746505871265189594853055136490752541555758933286148334911912712351292332487926019380488901869998167194598285670918796124195685583934239772695762223980121495916179741378407702199641760860387133686224779951<226>] Free to factor
7×10255+4 = 7(0)2544<256> = 22 × 93411820673<11> × 52584895379425212561409<23> × 3791824571971869064437228431<28> × [93956528255179979310939092084678811342481658698730343044765316844482477547441663739554930544077500873457099379984566901176112939725349651853655501323757842183280763804098930742610172252518277103<194>] Free to factor
7×10256+4 = 7(0)2554<257> = 22 × 11 × 37 × 43 × 8087 × 358241782243<12> × 22914562059560395000681<23> × [15062599974356168202418246080095563305302622820990291428729546531701386957690271950908172263519956452785442496348754631935047136081600552316633601264833942930852824048848757274075058386731086795109524811273009219881<215>] Free to factor
7×10257+4 = 7(0)2564<258> = 22 × 12412131860811375899<20> × [14099108997747976129046154597721509889017624935396145101958184953311012522799528508047389899385658015865007268757050850785169893720051723783021313978294410452283102496189868958550106878985751710707080056554785504304809252058051937508814099<239>] Free to factor
7×10258+4 = 7(0)2574<259> = 22 × 11 × 11540783 × 936460919773<12> × 26215365586517620633<20> × 272301504499516172734324745005680079<36> × 2062122547034811133888529770975161891712005079437643390271002212739063566506060710592250789121546780425494143612460104601338413467931788726286530294804294607396005006358984591148526807<184> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1861788675 for P36 x P184 / November 20, 2022 2022 年 11 月 20 日)
7×10259+4 = 7(0)2584<260> = 22 × 17 × 37 × 1950457 × 13141369457<11> × 76116532625519<14> × 40706349913260793917987529069720939051<38> × [350323474744305427750852352454000200008011789856338470427078256859611782383601784916959328333620251174791620341788027203401985704724111163422280196683698598719720435490091104837808330273649<189>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:836973536 for P38 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10260+4 = 7(0)2594<261> = 22 × 11 × 109 × 41911 × 428677 × 78751213 × [103158117364536128809703046581169854179788595106085996673169523423072115247545233791385424012177857734943136376141711415438025409914340109784116812939264740611013260819581136873088824779681681563196153041000257829493999397650187183243308809<240>] Free to factor
7×10261+4 = 7(0)2604<262> = 22 × 11309661197<11> × 154734962393409705958320760119229944780104450373837312750050544241780791163341159458430415083989540310187949832711509474583953799053844459740450348700220219337840169607690857160519766187298280744421843709453076377598228064762424907501851136133552206533<252>
7×10262+4 = 7(0)2614<263> = 22 × 11 × 37 × 683 × [62953942895377741644213093700648605480230663246768664045384396775319176490479565150136160385062288429784769462661117126710098891650868224806731395311190333152265802339008781175691863832420201380669901899770128174227734989081987617858774520560757749630370421<257>] Free to factor
7×10263+4 = 7(0)2624<264> = 22 × 97 × 197 × 2099 × 29733071 × 840446111 × 692271579816977<15> × 1228612553689860796991<22> × 49129254547401954839007302501<29> × 3955631184125190445168244710150019922901<40> × 12978512602276718904928843901907182682277166197328474641804457<62> × 81388991853085605007399957189116056477482918368949634745567694014083482769<74> (Ignacio Santos / GMP-ECM B1=3000000, sigma=1:2466374727 for P40 / November 27, 2022 2022 年 11 月 27 日) (Ignacio Santos / GNFS, Msieve for P62 x P74 / February 6, 2023 2023 年 2 月 6 日)
7×10264+4 = 7(0)2634<265> = 22 × 11 × 653 × 141653 × 307818804536471<15> × 290350502670325108552817422231<30> × 19243704356023638238361817153888747448822490353290424191602422783909527389035762688118127509936021101356710988298794196218887459827528953955965910043714591192230590967724201846648910592905906048691790987244503299<212> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3177161051 for P30 x P212 / November 20, 2022 2022 年 11 月 20 日)
7×10265+4 = 7(0)2644<266> = 22 × 19 × 37 × 307103 × 125411119086713<15> × [646342362715499239358376270954997257938521723405191487378672047806346778336654046216778513251119943359540945627400893243765651389553668597274646719274222780528341591505145324043991576603907287932662744924341438940841315783156235340886587270953<243>] Free to factor
7×10266+4 = 7(0)2654<267> = 22 × 11 × 258763 × 71399172089254228187883223125559<32> × [861092903389130438392512320827051688521904478087252250008961962835284880341710414047260073818622640272562658957619126517582981071264570259539424821029263383151317400084978017039811694922970731997515971357502264494834567867074623<228>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2197032354 for P32 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10267+4 = 7(0)2664<268> = 22 × 59 × 79 × 18284723 × 76918208743<11> × 7738684775792348983408916503<28> × 34496437068257122397850337270791006813739076359820111202819420748737553135991664095739105027688830894587492103691748367994385801542153057050258895564506693418697167159342168613473043429062046927738168287672438795138223<218>
7×10268+4 = 7(0)2674<269> = 22 × 11 × 29 × 37 × 6659 × 85821761 × 2955055364276747<16> × 8031740574530887<16> × 595595434887265663123739629<27> × 185503980852416949973689911489338461401<39> × [989371319229409495169173671017474352243112102504210652956995139136745619751975355360956558348188971926925228943967597965662068440038555361858971301875178193<156>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1985757902 for P39 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10269+4 = 7(0)2684<270> = 22 × 71 × 313 × 12107 × 4589455601077<13> × 1663229257331687294857841<25> × 81645119329120062604800876188813<32> × [1043651023041996447530658514228398902076020418302774648275693168861571279982615983376418645554074555698834399910405417466503733233743699021415938925299304420408336490496654189930453288152604301<193>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:4134431791 for P32 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10270+4 = 7(0)2694<271> = 22 × 11 × 23 × 149 × 517043 × 237419017529<12> × 89393845990215379<17> × 2274467062061837994034647156189549121<37> × [1859952351555785083700343956910285772155528473162586137116297155302643126791055476027099460771324192095371663670390768979015554889323291299971034329817041358490362831197822264081037242426895960321<196>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:167413509 for P37 / December 31, 2022 2022 年 12 月 31 日) Free to factor
7×10271+4 = 7(0)2704<272> = 22 × 37 × 4391 × 6756056367563603<16> × 550261078372048449557519<24> × 28974158278407265983650028301373868412447005393433454223107578675992075388787672491318359813581354271320449209721881190915752800546334073348294131279713087996762011623769464870810564784206803753784122997581943462780965716764679<227>
7×10272+4 = 7(0)2714<273> = 22 × 112 × 4332469 × 25799409536700563761<20> × [12939200661171652772937719731673760342083594817006791397961066008111470638602799807992284277252832050352480118027847393443021765918689804612580701492470960560633169615620063714818583256128494654175381679917132201699333844571254232685848566125909<245>] Free to factor
7×10273+4 = 7(0)2724<274> = 22 × 67 × 191 × 118521047871805174579904253083280807281<39> × 1153810259228298493938723815460509971320731793498019373418924206717083214325023904048246786372793485054986477853916738401236604821188296689659544208161748552871095597456615005116517551022703552251214849595112670925210128897100397093<232> (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:1075896964 for P39 x P232 / December 31, 2022 2022 年 12 月 31 日)
7×10274+4 = 7(0)2734<275> = 22 × 11 × 37 × 163 × 338843143 × 1450558762984101741310286753<28> × [536688150424959431247566596784255650363084032091918025891034690463436650225520425282316244810784535025136112686694631900973936345579702351753542666463476523225061167331866749117911093650652654934568149440972690389383656443943037574859<234>] Free to factor
7×10275+4 = 7(0)2744<276> = 22 × 17 × 47 × 103 × 409810833089505434454256957843526229437<39> × [5188843953477782455668185441921034463511871572323636022370476551209037656083922136147227329793056491533606020743679955267972517201692641166731805188370202411333760948327164007688031573471749509829832560138483759363444472704751770109<232>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=3000000, sigma=3:2873013323 for P39 / December 31, 2022 2022 年 12 月 31 日) Free to factor
7×10276+4 = 7(0)2754<277> = 22 × 11 × 193 × 27692419181937653868113<23> × 20277904107643468480285122221<29> × 1467925762733554808187780952074537360796270662789702482975819046135403104233472745707854602956544796782125602259614533029102704727769748779810680758282940222692347355985175993546588513205706940737969660647765558986410165919<223>
7×10277+4 = 7(0)2764<278> = 22 × 37 × 43 × 5140901 × 4870160741<10> × 11968128847<11> × [36707860862864041489911415260405637153642281562065879815111352187133858607762174656309319489331271503354798248098612772464063696124671597185929666491361464214009044155495689464904431555267089597793123813048283800746762841596075340088617606284130993<248>] Free to factor
7×10278+4 = 7(0)2774<279> = 22 × 11 × 8807 × 14454069779<11> × 31855836269475745078205392609744933535772053<44> × 3923179775382923544364573317490888533350638672823163780674921202172667528491715341682446213529247713869695525973958063771337024616434156446601289409935469792005741769367588358100441123010101463560454367821408463507284299<220> (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:3923710730 for P44 x P220 / January 21, 2023 2023 年 1 月 21 日)
7×10279+4 = 7(0)2784<280> = 22 × 569 × 577 × 2749 × 114479 × 302563 × 8727857 × 2217925726057593370607<22> × 2891871319352028537225161972991921154763066254315845711180001810505895212847738115058885480062549192541905490792979247753888460301034197633808751690863118583961784713511150078327734116044681745506640277684629877189453857464429349551<232>
7×10280+4 = 7(0)2794<281> = 22 × 11 × 37 × 79 × 11257 × 1129302718040698612222178217839<31> × 150805352235651683249225738498623<33> × [283900889548241930132968149856475787477378653672464902944791052183183858965685054645786156664849257099970449796335608439319973892526294521064003903405166127363160044495629394048732399104057779006386264419912673<210>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:1601614962 for P31, B1=1000000, sigma=1:760765342 for P33 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10281+4 = 7(0)2804<282> = 22 × 61 × 139 × 8591759914099<13> × [2402211715668423491579628329806933751253079873891635229096796814696040970209572860478900642297588784976649346506078299016915433909850010810874081304881897576937785603843603479599854882294073126901599512841957505601727773661465521149536913763127051457922554285002981<265>] Free to factor
7×10282+4 = 7(0)2814<283> = 22 × 11 × 4789 × 67871338220771<14> × 380069878328719352705638187272551517<36> × [1287806647037989685062450731354827318365665540960897683505127471442935642361138404452619827764171556473474551551725418152275377979177291335880703298627350693798624046474659060196111519115723030220415648322254321371329815688882817<229>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:3686532072 for P36 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10283+4 = 7(0)2824<284> = 22 × 19 × 37 × 54924488893<11> × 13741146690313130949046696576364104201783831<44> × [32983271039504626421087053332501867627808969163442822665166149859851653660078578813984359153163020321809952913375451550889680746413318384416245027266222452702777538935525877717838529181335221352847374974759799514951405116427149<227>] (Dmitry Domanov / GMP-ECM 7.0.5 B1=11000000, sigma=3:2836291972 for P44 / January 10, 2023 2023 年 1 月 10 日) Free to factor
7×10284+4 = 7(0)2834<285> = 22 × 11 × 293135406547<12> × 75167465176262939<17> × [722016596184674179910079005663362282941442550924907893914018227918353628665207941171137449215841269325852696865528567765904970552147854622613306514604386171768052277990278436120151609711742101854778969494028833122495590062204059915216265335965563434765027<255>] Free to factor
7×10285+4 = 7(0)2844<286> = 22 × 1331719733<10> × 129940973011<12> × 179182215038210481054775193<27> × 16552049449384655077038664554121<32> × [3409827610350719244601401825653938109684615569883412537647439441176764010081696472833449594865241186600255827744035238062690839151824097086147219719955855438246943239619835090941235861334981762873195154298159<208>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:864381104 for P32 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10286+4 = 7(0)2854<287> = 22 × 11 × 37 × 233 × 1093 × [168836972688246302231514408889747073821303507680726737620195402650275445943548460933772848454258441339711537497683436136879626271739171228312034613547557800686371497895476078922042113478841152802255252887249714503915054433570625176199470675830185625252947934546401576153921354947<279>] Free to factor
7×10287+4 = 7(0)2864<288> = 22 × 11117 × 898708544843<12> × [17515864305687023414739385803768426275728710846088625488991715948648612060904918546073044353654883819011475654497966883877628666984574493017115258385411032532326175515089885405519880240557014985532219400187399009383460117235883123212497214942114819990441050754264145280271<272>] Free to factor
7×10288+4 = 7(0)2874<289> = 22 × 11 × 676601 × 43040761 × 110125087 × 49607406469670396572659371887920618751274662286691295584336931470820407734196270713258278200608948436273277324961741492731267948861757633390887599840972518826915905121599200154139000699558556171383135620052756578058665976788341474910552171199016925188491035207670413<266>
7×10289+4 = 7(0)2884<290> = 22 × 37 × 3399914107267397374907814564199<31> × 94740070291257904506393943124753<32> × 1468367205793666399913574575957888191202095618963867065255525780151229938630933720134727636160686521490112585258936107678737475606892900623910470289095465455964716134407343258324080795973788027325872669820904404443949454860059<226> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2613066294 for P31, B1=1000000, sigma=1:538808931 for P32 x P226 / November 20, 2022 2022 年 11 月 20 日)
7×10290+4 = 7(0)2894<291> = 22 × 11 × 2531 × 54558581081<11> × 146068051333<12> × 78869569427850777493<20> × 4308203087450778213279520360739<31> × 2321289347473238143757675599792177443553482841382656997378988299464390491817332250668960541259699781929734182951250389908279246030793021094159460909008410534478332023323684892131945251433511976251586241178147225291<214> (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2831721080 for P31 x P214 / November 20, 2022 2022 年 11 月 20 日)
7×10291+4 = 7(0)2904<292> = 22 × 17 × 1187 × [86723821794935328807175776797660934635016601417315030477228802220129837950344417463699886020119926656424996283264780217057336835323851528817087070717082115070122404479904851578373556667822984290599137717429010357302145795133554685564200406363050696268397839337925566182665146934932355419<287>] Free to factor
7×10292+4 = 7(0)2914<293> = 22 × 11 × 23 × 37 × 2843 × 9851 × 287501 × 1002815644463072948652376030297<31> × [231525144807813787444061069081422118273648435271894503786564300966260242874437196732830379034942796198501574912801119665816944404113488200266255549489749165018392770594091558700746152876094404383241240556646920822537151753970397878184540038851621<246>] (Eric Jeancolas / GMP-ECM 7.0.4 B1=1000000, sigma=1:2920654038 for P31 / November 20, 2022 2022 年 11 月 20 日) Free to factor
7×10293+4 = 7(0)2924<294> = 22 × 79 × 520984621 × 1495691283989203457383<22> × 647299152365317556077217<24> × [4391764589773097804732387397556067729356502763410708610000767111503701465331799541140010283862850688129235165906439611526406889595878996655035573947142246275064065714105368139307885207885423002340836498592717369291298982653698690762793949<238>] Free to factor
7×10294+4 = 7(0)2934<295> = 22 × 112 × [14462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446280991735537190082644628099173553719008264462809917355371900826446281<293>] Free to factor
7×10295+4 = 7(0)2944<296> = 22 × 372 × 6130890178373<13> × 661219605703207<15> × 119353604686638205874041<24> × [26419816783218036460910528182450000893813367309576478779232967496273064650673237735741925706342690667552037191909466225593660916565580343725763499327691775704571633813640797140496464538104343919754873358137592132684558101133179004777414336379<242>] Free to factor
7×10296+4 = 7(0)2954<297> = 22 × 11 × 29 × 158699 × 1465487 × 11664274007<11> × 21584244859269934069<20> × 2380754261232691631972129<25> × [3935338211907086994900333288448806237431672089638994646591365900001659298332204670905568184762059621893846298762836374833585668759212911479210750525838576528955205790747185513659879082452964976262308804338471177591442717646526769<229>] Free to factor
7×10297+4 = 7(0)2964<298> = 22 × 1907711677<10> × 246567533185762029100030137068018017315007<42> × [3720398155976307006519257653481231229474413737442980104649183927836894505145339385477612324954341566509689863329254927245264805044253200553797886207308127818384860854640200719430867720983960065639364822919976383440350718619482513400421405406751659<247>] (Dmitry Domanov / for P42 / March 7, 2023 2023 年 3 月 7 日) Free to factor
7×10298+4 = 7(0)2974<299> = 22 × 11 × 37 × 43 × 1303 × 216150287189<12> × [3550380922509061957562288827454957836506275578915993512293405798743774247523373264309793409447210268282508207288807173812209368757213228200506796403318420164707152393381232416946093152477153431398633449762888966341893415781740928349348045064070391176787608787832573477838280052103<280>] Free to factor
7×10299+4 = 7(0)2984<300> = 22 × 2225552239<10> × 2402892921982103<16> × [32723958850428975254471832174969182255967541627190928038522853645065496092589713435825511352890990552090434611249275410211269582640850746867496975609752449148639984718078346190073997340726939699208228936783935210329199035493739885349033764933592220190090235963950863905834953<275>] Free to factor
7×10300+4 = 7(0)2994<301> = 22 × 11 × [159090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909090909091<300>] Free to factor
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