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Factorizations of 399...997

Table of contents

  1. About 399...997
  2. Prime numbers of the form 399...997
  3. Factorizations of 399...997
  4. References

1. About 399...997

First ten terms

37, 397, 3997, 39997, 399997, 3999997, 39999997, 399999997, 3999999997, 39999999997

General term

4·10n-3

2. Prime numbers of the form 399...997

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

13.11%

Results

  1. 4·101-3 = 37 is prime. (Makoto Kamada / Dec 1, 2004)
  2. 4·102-3 = 397 is prime. (Makoto Kamada / Dec 1, 2004)
  3. 4·1014-3 = 3(9)137<15> is prime. (Makoto Kamada / Dec 1, 2004)
  4. 4·1020-3 = 3(9)197<21> is prime. (Makoto Kamada / PPSIQS / Dec 1, 2004)
  5. 4·1030-3 = 3(9)297<31> is prime. (Makoto Kamada / PPSIQS / Dec 1, 2004)
  6. 4·1044-3 = 3(9)437<45> is prime. (Makoto Kamada / PPSIQS / Dec 1, 2004)
  7. 4·1066-3 = 3(9)657<67> is prime. (Makoto Kamada / PPSIQS / Dec 1, 2004)
  8. 4·10260-3 = 3(9)2597<261> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 1, 2005)
  9. 4·10872-3 = 3(9)8717<873> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Makoto Kamada / PFGW / Jan 1, 2005)
  10. 4·108846-3 = 3(9)88457<8847> is PRP. (Makoto Kamada / PFGW / Dec 31, 2004)

3. Factorizations of 399...997

Last update

Jan 13, 2009

Completed up to

Range

n≤200

Terms which have not been factored yet

n=174, 177, 181, 184, 185, 186, 188, 189, 190, 191, 192, 193, 199 (13/200)

Results

4·101-3 =
37
= definitely prime number
4·102-3 =
397
= definitely prime number
4·103-3 =
3997
= 7 · 571
4·104-3 =
39997
= 23 · 37 · 47
4·105-3 =
399997
= 13 · 29 · 1061
4·106-3 =
3999997
= 877 · 4561
4·107-3 =
39999997
= 17 · 19 · 37 · 3347
4·108-3 =
399999997
= 61 · 587 · 11171
4·109-3 =
3999999997<10>
= 72 · 81632653
4·1010-3 =
39999999997<11>
= 37 · 9923 · 108947
4·1011-3 =
399999999997<12>
= 13 · 30769230769<11>
4·1012-3 =
3999999999997<13>
= 3877 · 1031725561<10>
4·1013-3 =
39999999999997<14>
= 37 · 1081081081081<13>
4·1014-3 =
399999999999997<15>
= definitely prime number
4·1015-3 =
3999999999999997<16>
= 7 · 571428571428571<15>
4·1016-3 =
39999999999999997<17>
= 37 · 1081081081081081<16>
4·1017-3 =
399999999999999997<18>
= 13 · 3259 · 320011 · 29503081
4·1018-3 =
3999999999999999997<19>
= 421 · 9501187648456057<16>
4·1019-3 =
39999999999999999997<20>
= 37 · 1081081081081081081<19>
4·1020-3 =
399999999999999999997<21>
= definitely prime number
4·1021-3 =
3999999999999999999997<22>
= 7 · 71 · 461 · 719 · 116159 · 209035921
4·1022-3 =
39999999999999999999997<23>
= 37 · 97 · 11145165784341042073<20>
4·1023-3 =
399999999999999999999997<24>
= 13 · 17 · 83 · 1301 · 7229 · 2318644165051<13>
4·1024-3 =
3999999999999999999999997<25>
= 18743 · 213413007522808515179<21>
4·1025-3 =
39999999999999999999999997<26>
= 19 · 37 · 72302177 · 786961148727587<15>
4·1026-3 =
399999999999999999999999997<27>
= 23 · 2574207258361<13> · 6755984504099<13>
4·1027-3 =
3999999999999999999999999997<28>
= 7 · 379 · 251429 · 68610847 · 87400635923<11>
4·1028-3 =
39999999999999999999999999997<29>
= 37 · 734625688717<12> · 1471608055211293<16>
4·1029-3 =
399999999999999999999999999997<30>
= 13 · 139 · 149 · 59126773 · 25126465043217323<17>
4·1030-3 =
3999999999999999999999999999997<31>
= definitely prime number
4·1031-3 =
39999999999999999999999999999997<32>
= 37 · 6007 · 14322235957<11> · 12565790388439219<17>
4·1032-3 =
399999999999999999999999999999997<33>
= 7691 · 128660797 · 404232234804635319011<21>
4·1033-3 =
3999999999999999999999999999999997<34>
= 7 · 29 · 10067 · 1957329243820099911871250797<28>
4·1034-3 =
39999999999999999999999999999999997<35>
= 37 · 8001239557<10> · 135114199916096960460133<24>
4·1035-3 =
399999999999999999999999999999999997<36>
= 13 · 7457520359<10> · 4125933190661339665645991<25>
4·1036-3 =
3999999999999999999999999999999999997<37>
= 43768477 · 75951361 · 1203269742197959442401<22>
4·1037-3 =
39999999999999999999999999999999999997<38>
= 37 · 56995623551<11> · 18967791099148581733201031<26>
4·1038-3 =
399999999999999999999999999999999999997<39>
= 6705317705327<13> · 59654145795690242290288211<26>
4·1039-3 =
3999999999999999999999999999999999999997<40>
= 7 · 17 · 14197 · 16249 · 145710151224443707745495715671<30>
4·1040-3 =
39999999999999999999999999999999999999997<41>
= 37 · 59 · 112967 · 3548593 · 45708657774110282863780189<26>
4·1041-3 =
399999999999999999999999999999999999999997<42>
= 13 · 76649773 · 738937005361<12> · 543248267276036334373<21>
4·1042-3 =
3999999999999999999999999999999999999999997<43>
= 337 · 383 · 83089 · 124477846643<12> · 2996371913431622738641<22>
4·1043-3 =
39999999999999999999999999999999999999999997<44>
= 19 · 37 · 1181 · 1641217933<10> · 29355434641183427376160862363<29>
4·1044-3 =
399999999999999999999999999999999999999999997<45>
= definitely prime number
4·1045-3 =
3999999999999999999999999999999999999999999997<46>
= 7 · 177019 · 3228063492780839506332250049026214296609<40>
4·1046-3 =
39999999999999999999999999999999999999999999997<47>
= 37 · 313763 · 269797056541<12> · 12770836099780604453369576207<29>
4·1047-3 =
399999999999999999999999999999999999999999999997<48>
= 13 · 2039 · 236471 · 23122795810801<14> · 2759822691958645263754801<25>
4·1048-3 =
3999999999999999999999999999999999999999999999997<49>
= 23 · 224221 · 775632271188964769424886122639484375178759<42>
4·1049-3 =
39999999999999999999999999999999999999999999999997<50>
= 37 · 599 · 19937 · 507803 · 961447 · 1196809 · 883509323 · 175353743605801<15>
4·1050-3 =
399999999999999999999999999999999999999999999999997<51>
= 47 · 107 · 3158894269<10> · 695062569516198683<18> · 36225915040902452759<20>
4·1051-3 =
3999999999999999999999999999999999999999999999999997<52>
= 73 · 1712231 · 365583782023<12> · 1223144565046787<16> · 15231364254750409<17>
4·1052-3 =
39999999999999999999999999999999999999999999999999997<53>
= 37 · 349 · 63611 · 48696821736066944192856711185905749982289879<44>
4·1053-3 =
399999999999999999999999999999999999999999999999999997<54>
= 13 · 563 · 4508792797<10> · 669472970417<12> · 18105683287427638416198479287<29>
4·1054-3 =
3999999999999999999999999999999999999999999999999999997<55>
= 863 · 25467289 · 157554227 · 3055001722088447<16> · 378115917576621876359<21>
4·1055-3 =
39999999999999999999999999999999999999999999999999999997<56>
= 17 · 37 · 420593 · 151198438322738033468583234383090356749955851001<48>
4·1056-3 =
399999999999999999999999999999999999999999999999999999997<57>
= 71 · 5633802816901408450704225352112676056338028169014084507<55>
4·1057-3 =
3999999999999999999999999999999999999999999999999999999997<58>
= 7 · 409 · 2753 · 1146529 · 12376910245691721880459<23> · 35763099107325055511993<23>
4·1058-3 =
39999999999999999999999999999999999999999999999999999999997<59>
= 37 · 109 · 281243 · 331739 · 287299967 · 101187915779<12> · 3656699644528751425137769<25>
4·1059-3 =
399999999999999999999999999999999999999999999999999999999997<60>
= 133 · 61129 · 2978397393312558167635716801555926711856053637005569<52>
4·1060-3 =
3999999999999999999999999999999999999999999999999999999999997<61>
= 263 · 15209125475285171102661596958174904942965779467680608365019<59>
4·1061-3 =
39999999999999999999999999999999999999999999999999999999999997<62>
= 19 · 29 · 37 · 23679727 · 82857147378059634428915391994675765821494951425553<50>
4·1062-3 =
399999999999999999999999999999999999999999999999999999999999997<63>
= 31019 · 1928020865944930366655737<25> · 6688372750335340542004886694101999<34>
4·1063-3 =
3999999999999999999999999999999999999999999999999999999999999997<64>
= 7 · 63617 · 13485847 · 666055682666603755472599972034617812070244224180829<51>
4·1064-3 =
39999999999999999999999999999999999999999999999999999999999999997<65>
= 372 · 83 · 57589102432614935641957<23> · 6112771207054354650743708302111740923<37>
4·1065-3 =
399999999999999999999999999999999999999999999999999999999999999997<66>
= 13 · 99923 · 230648900888767<15> · 1335056929185551706854703176046879744751604309<46>
4·1066-3 =
3999999999999999999999999999999999999999999999999999999999999999997<67>
= definitely prime number
4·1067-3 =
39999999999999999999999999999999999999999999999999999999999999999997<68>
= 37 · 191 · 1415618041<10> · 10940708399419<14> · 58875874683341<14> · 6207203675131402027653811969<28>
4·1068-3 =
399999999999999999999999999999999999999999999999999999999999999999997<69>
= 61 · 569579 · 88515543443042011728726261263<29> · 130063862618281028427596700228301<33>
4·1069-3 =
3999999999999999999999999999999999999999999999999999999999999999999997<70>
= 7 · 2273 · 7433 · 1332905843<10> · 3367765494651823697<19> · 7534545642533328603766948389242689<34>
4·1070-3 =
39999999999999999999999999999999999999999999999999999999999999999999997<71>
= 23 · 37 · 157 · 768086840734739302416981743<27> · 389780810398725679736203279568532210997<39>
4·1071-3 =
399999999999999999999999999999999999999999999999999999999999999999999997<72>
= 13 · 17 · 164503 · 41114887589<11> · 4238704531469<13> · 39726560840077<14> · 1589207750248369442795488067<28>
4·1072-3 =
3999999999999999999999999999999999999999999999999999999999999999999999997<73>
= 1871 · 352249 · 7937923381<10> · 764591617363845499559430105617469241549817083707736703<54>
4·1073-3 =
39999999999999999999999999999999999999999999999999999999999999999999999997<74>
= 37 · 191642603 · 5641131273306077360476475479103574277171976635493106306227123627<64>
4·1074-3 =
399999999999999999999999999999999999999999999999999999999999999999999999997<75>
= 887 · 5818166017<10> · 77508665968084189450350108656196230399506673811394627688166443<62>
4·1075-3 =
3999999999999999999999999999999999999999999999999999999999999999999999999997<76>
= 7 · 139 · 7726686743381<13> · 9036423408841<13> · 58878572728877462066045607624530463840165751109<47>
4·1076-3 =
39999999999999999999999999999999999999999999999999999999999999999999999999997<77>
= 37 · 743 · 5399 · 42061 · 137339 · 25577923321<11> · 977748778821013<15> · 1865477812668383714076620421802499<34>
4·1077-3 =
399999999999999999999999999999999999999999999999999999999999999999999999999997<78>
= 13 · 769 · 1348433033<10> · 1126224201967<13> · 92953364318788711024865861<26> · 283446401156340646460449531<27>
4·1078-3 =
3999999999999999999999999999999999999999999999999999999999999999999999999999997<79>
= 50437103867<11> · 1521127036549<13> · 13090461671569<14> · 3982808278910696696660173074075777388939211<43>
4·1079-3 =
39999999999999999999999999999999999999999999999999999999999999999999999999999997<80>
= 19 · 37 · 227 · 52511 · 531911 · 8974071977520504950755520570729598098378818487395511043825409097<64>
4·1080-3 =
399999999999999999999999999999999999999999999999999999999999999999999999999999997<81>
= 5197 · 76967481239176447950740812006927073311525880315566673080623436598037329228401<77>
4·1081-3 =
3999999999999999999999999999999999999999999999999999999999999999999999999999999997<82>
= 7 · 429905104616648636805590262383317<33> · 1329196990899005274632571941765421472685842778863<49> (Makoto Kamada / GGNFS-0.70.1 / 0.10 hours)
4·1082-3 =
39999999999999999999999999999999999999999999999999999999999999999999999999999999997<83>
= 37 · 633467 · 5241938701<10> · 1003652010395997243385322927<28> · 324383813275946232168533221548185192809<39>
4·1083-3 =
399999999999999999999999999999999999999999999999999999999999999999999999999999999997<84>
= 13 · 1217 · 373207 · 183976723015651<15> · 8846057746959262692797989609<28> · 41625899446727682833390747912789<32>
4·1084-3 =
3999999999999999999999999999999999999999999999999999999999999999999999999999999999997<85>
= 179 · 158227151710674945961<21> · 792416934593347412708017<24> · 178226468532273799274347390024249500839<39>
4·1085-3 =
39999999999999999999999999999999999999999999999999999999999999999999999999999999999997<86>
= 37 · 29533183 · 440937489718490753<18> · 174841541251458548887919<24> · 474817108846565879364016232851645801<36>
4·1086-3 =
399999999999999999999999999999999999999999999999999999999999999999999999999999999999997<87>
= 560339210063<12> · 2910108578133699757<19> · 3642526031595563862021289247<28> · 67343722759316479132676732161<29>
4·1087-3 =
3999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<88>
= 7 · 17 · 113 · 1280657711<10> · 55962298748000034563<20> · 78104884470835008608189<23> · 53140762018860756693674449807763<32>
4·1088-3 =
39999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<89>
= 37 · 461207 · 6728331699190450053997565437<28> · 348381418796454801769166303174587285261448294500404059<54>
4·1089-3 =
399999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<90>
= 13 · 29 · 1710869 · 324955316673864286283<21> · 1908438797586984042356044773489236108979558272581057658434643<61>
4·1090-3 =
3999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<91>
= 131 · 431 · 2426113 · 10924821030849421<17> · 2672920669806563436754652416058026090451436381625756575519466549<64>
4·1091-3 =
39999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<92>
= 37 · 71 · 3665437631<10> · 17180051279<11> · 249015549073968083492209<24> · 971008792185667352545631164503912057426826271<45>
4·1092-3 =
399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<93>
= 23 · 1810187576877208871526409130255399557519619771<46> · 9607459784818641358549254154895258208490637809<46> (Makoto Kamada / GGNFS-0.70.5 / 0.22 hours)
4·1093-3 =
3999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<94>
= 72 · 35831 · 2767423 · 823245634274008525366411254013971628940977727133219629071348351396185404307343781<81>
4·1094-3 =
39999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<95>
= 37 · 4283399 · 9314954709392626979<19> · 6090576055816710482744217264577<31> · 4448674370532002675127154685511443893<37>
4·1095-3 =
399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<96>
= 13 · 634927 · 48461052639485750693810833007937556964452969820516010865452612299100163059326868709679647<89>
4·1096-3 =
3999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<97>
= 47 · 325471808524526296145231<24> · 261486189432317965368156135630370874289986748336642007592130012248401021<72>
4·1097-3 =
39999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<98>
= 19 · 37 · 5983617123308793233<19> · 595871316786455532727601469262781909<36> · 15958364833406470135721364290319763834567<41> (Makoto Kamada / msieve 0.83 / 12 minutes)
4·1098-3 =
399999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<99>
= 59 · 2590501 · 3364369 · 16756266397495660265170067<26> · 46424083259976942362809777033804858449092735815461688746121<59>
4·1099-3 =
3999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<100>
= 7 · 1597447 · 25846643 · 1306416613<10> · 299658652285829899<18> · 1133484455260961893<19> · 31189417511064443746809006129595178833061<41>
4·10100-3 =
39999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997<101>
= 37 · 827 · 3769 · 92233 · 3456611 · 1087902006402207194906055708531158876863165243383064495263818799081710623053199849<82>
4·10101-3 =
3(9)1007<102>
= 13 · 223 · 397 · 8782349371891586188243722599<28> · 39574055578551176751373128076620200416753217239059355820193165742301<68>
4·10102-3 =
3(9)1017<103>
= 217201 · 1417975819757831<16> · 12987613199132289488277229136087854074083822807875194590338278066575267405404421387<83>
4·10103-3 =
3(9)1027<104>
= 17 · 37 · 107 · 3593 · 10567 · 966786214431481<15> · 16191466829554211639763153570257760239392703196870411484335957780141678016109<77>
4·10104-3 =
3(9)1037<105>
= 14090624960303<14> · 47607131645687<14> · 596290265867746677988016500938867082451129542464344034079396853397313875140677<78>
4·10105-3 =
3(9)1047<106>
= 7 · 83 · 428951 · 18876277319<11> · 60750133667<11> · 13996278880711426606256184042732512609555173423486222610929596464057336858419<77>
4·10106-3 =
3(9)1057<107>
= 37 · 11510214387337<14> · 528234148935661033<18> · 177806806014649132740771072924877971299261563470006887400661192666408610761<75>
4·10107-3 =
3(9)1067<108>
= 13 · 8300337583<10> · 8310187046893<13> · 10064470783946299681<20> · 44321978685090096285472252255974060798347593821022719864584868571<65>
4·10108-3 =
3(9)1077<109>
= 1451 · 71387 · 818413 · 24591853126212844607<20> · 1918711470674901064999228540779604522458895995305276063888690767282817484791<76>
4·10109-3 =
3(9)1087<110>
= 37 · 64586021 · 10240969722404715986028947<26> · 13469978624759433421839413963<29> · 121342167711360086672587831031985296236321366901<48>
4·10110-3 =
3(9)1097<111>
= 3259711372391<13> · 126252937550816459<18> · 682261303898568048131<21> · 1424585803251198030404157853850025083427127661333815296092123<61>
4·10111-3 =
3(9)1107<112>
= 7 · 2367063518507<13> · 103364899667525491<18> · 212988862752096997<18> · 6942084979915410161633<22> · 1579545466847789568882560155587217747603183<43>
4·10112-3 =
3(9)1117<113>
= 37 · 1549 · 636263 · 85777789 · 15808405367<11> · 144863315461<12> · 5584044216766086695383811562860379057389048141720853158376146400329651341<73>
4·10113-3 =
3(9)1127<114>
= 13 · 1702356884234854309940250225619<31> · 18074488994744710410784707596626357056720051107053667811146452741104552488586191851<83> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.68 hours on Core 2 Quad Q6600 / May 25, 2007)
4·10114-3 =
3(9)1137<115>
= 23 · 38182410646251288694086173701<29> · 8557162049392397246492851856633465448997<40> · 532278659879147137767915163188661873881865187<45> (Makoto Kamada / Msieve 1.21 for P40 x P45 / 36 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 25, 2007)
4·10115-3 =
3(9)1147<116>
= 19 · 37 · 27103 · 20834139481<11> · 884472363134547601<18> · 116731625313722328586044311173<30> · 975975541656353729902862269487977762741754646329041<51> (Makoto Kamada / Msieve 1.21 for P30 x P51 / 13 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 25, 2007)
4·10116-3 =
3(9)1157<117>
= 111873575327<12> · 3575464526192383678943758943838085315186773122553071079789358272575805724164187371310076839696996126378211<106>
4·10117-3 =
3(9)1167<118>
= 7 · 292 · 327473 · 295852289419<12> · 12245569796731<14> · 7003861575883418397672756862558232089933<40> · 81770936304432745184614995093835628187932231<44> (Makoto Kamada / Msieve 1.21 for P40 x P44 / 34 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 25, 2007)
4·10118-3 =
3(9)1177<119>
= 37 · 97 · 30637 · 215570744989<12> · 472659461707936417<18> · 3570278690405841544129438303157233228105517957509863168727460668830442110144894433<82>
4·10119-3 =
3(9)1187<120>
= 13 · 17 · 85819 · 2138429 · 25985319399001881232057951389966634997820353<44> · 379543338404314085166151446656730517304702047891649789900943119<63> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 0.95 hours on Core 2 Quad Q6600 / May 26, 2007)
4·10120-3 =
3(9)1197<121>
= 311 · 2251511 · 9660397 · 14957350687977701210646823592952109<35> · 39534466142745973691646463023061454844518637076105956734312901955956709<71> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.00 hours on Core 2 Quad Q6600 / May 26, 2007)
4·10121-3 =
3(9)1207<122>
= 37 · 139 · 31362003203<11> · 62470575164971<14> · 3969759234714744894037704003196593256092887749087437628623883208567141824555677045269570566283<94>
4·10122-3 =
3(9)1217<123>
= 31391 · 2684288903<10> · 58006487029<11> · 344007467969662880678387556467819763326309749859<48> · 237892718439068787805376755582318249071248333701499<51> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.16 hours on Core 2 Quad Q6600 / May 26, 2007)
4·10123-3 =
3(9)1227<124>
= 7 · 256302150148215013<18> · 25102647305913097143361<23> · 88815788851720338548694957276606303287526272926397190756664442878723237554607010047<83>
4·10124-3 =
3(9)1237<125>
= 37 · 9522196359001<13> · 38834291343805742113919<23> · 149155523791012197735610705008582596711<39> · 19600466520430135174656418654211910689406068497609<50> (Makoto Kamada / Msieve 1.21 for P39 x P50 / 1.3 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / May 25, 2007)
4·10125-3 =
3(9)1247<126>
= 13 · 347 · 1919134447<10> · 3973122502709<13> · 14176781570225689422590837043552305747546179<44> · 820298957620154295413668754748555247326186604713123112531<57> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.38 hours on Core 2 Quad Q6600 / May, 26, 2007)
4·10126-3 =
3(9)1257<127>
= 71 · 7369 · 32042891 · 5553699251<10> · 2209879287587<13> · 1128517775297302919401<22> · 17226699595060402910131872066306081718003218552471155835746784855520009<71>
4·10127-3 =
3(9)1267<128>
= 37 · 1663 · 18719 · 5365901 · 705022162775505898789224106446296802990040895033<48> · 9179899962009583566770141001685302094407984058465806768333958181<64> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 1.86 hours on Core 2 Quad Q6600 / May 27, 2007)
4·10128-3 =
3(9)1277<129>
= 61 · 4583 · 777828011 · 311290259457901<15> · 5909234011381331281049315973877864837863949811699218699136624546844926413738390369648150984383004729<100>
4·10129-3 =
3(9)1287<130>
= 7 · 9052129 · 63126428205847644081456259784695006950456469569597542033639663269112871521321511373575368686353074666586327765703357898299<122>
4·10130-3 =
3(9)1297<131>
= 37 · 14197 · 48230137 · 1572173919829<13> · 73727974647851<14> · 81394898625280885447385281<26> · 167345142764802807479902562381994592404839041928895822897011310971<66>
4·10131-3 =
3(9)1307<132>
= 13 · 23399 · 543911 · 623726897 · 828786419196952444280361223<27> · 1462209895974975072704200124249596450319<40> · 3198487680222820760741533146630326383989131689<46> (Makoto Kamada / Msieve 1.21 for P40 x P46 / 43 minutes on Pentium 4 3.06GHz, Windows XP and Cygwin / May 25, 2007)
4·10132-3 =
3(9)1317<133>
= 313 · 413629 · 104026555909<12> · 37278261157741<14> · 1122976311419056133302023936827<31> · 7094702873415094273433133083811785863375798683701832839125940378144747<70> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2632651371 for P31 / May 19, 2007)
4·10133-3 =
3(9)1327<134>
= 19 · 37 · 607 · 275521 · 267823455452010358133437<24> · 19092348197612899949161309484911390214209<41> · 66535483009793897303525410667693774065268754524280636711649<59> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 2.94 hours on Core 2 Quad Q6600 / May 27, 2007)
4·10134-3 =
3(9)1337<135>
= 997 · 2029 · 194471 · 49789423417<11> · 436416642661<12> · 46793931784346247511412986641715951269795983953224486549855726082641286372761749332917201168151703447<101>
4·10135-3 =
3(9)1347<136>
= 72 · 17 · 2371 · 114503287 · 712325890606810303<18> · 1682813458647058605235871613932873<34> · 14755392808750968815255246320358396466276190218604598023857668682200143<71> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2613109661 for P34 / May 19, 2007)
4·10136-3 =
3(9)1357<137>
= 23 · 37 · 2293 · 15081196794111057038592942294865571<35> · 1359222545014331678259321655350929515123649897436325733988274979310778665003786733637386489826449<97> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 3.84 hours on Core 2 Quad Q6600 / May 27, 2007)
4·10137-3 =
3(9)1367<138>
= 132 · 136193 · 17378748579776080907111588119140184676140720419512563466646727449129470243172573971231306494781574546772012585515933988040032121141<131>
4·10138-3 =
3(9)1377<139>
= 167 · 61953817 · 234806247524789276541047560136279747605593670548390630143<57> · 1646515424474759157709862360552930904493428048558253258347121490936014861<73> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 4.94 hours on Core 2 Quad Q6600 / May 28, 2007)
4·10139-3 =
3(9)1387<140>
= 37 · 269 · 2011 · 6581 · 11196139 · 1745959717<10> · 3342091643039<13> · 42030792677242120321<20> · 110589422404399185908671437799806939415652612346241644280736544779968389917673587<81>
4·10140-3 =
3(9)1397<141>
= 53542861 · 226403410206772427<18> · 750128536862459932873<21> · 43988562125386492396251399653770406904535392867942790220293629408832929896758536370011246277787<95>
4·10141-3 =
3(9)1407<142>
= 7 · 52313 · 72534046490829353664593295091274835834185520668502881701648559<62> · 150594953495731883967116548567354812204313653884473343476632001562146074013<75> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 7.74 hours on Cygwin on AMD 64 3200+ / May 29, 2007)
4·10142-3 =
3(9)1417<143>
= 37 · 47 · 114791881 · 57131442695423<14> · 3507309130804130719373196811109108629739237469303089177330722922734068683815524352362226076177082987764895991845354721<118>
4·10143-3 =
3(9)1427<144>
= 13 · 51907289797361376129791761<26> · 592772824190001801139841467068809474211084120743811730013344994580116709596724048090927534832587085140605754115117729<117>
4·10144-3 =
3(9)1437<145>
= 359 · 9311 · 8600737381<10> · 1127069158597835253730690599540227387<37> · 25704964961697827080699390888797399431064217<44> · 4802484227003858903586540234824184542371863661547<49> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 10.39 hours on Cygwin on AMD 64 3200+ / May 29, 2007)
4·10145-3 =
3(9)1447<146>
= 29 · 37 · 636458547278605123477<21> · 22032652827179182252311595341228758697101383067<47> · 2658418526818926672086758087119698387445371990728081899202841400303836244571<76> (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona / 9.31 hours on Core 2 Quad Q6600 / May 29, 2007)
4·10146-3 =
3(9)1457<147>
= 83 · 42777895789<11> · 15924396733100297500381<23> · 396348820700316782956965255363264113551018768822430003<54> · 17849330111541476189358027901066221476707550990700167833117<59> (Robert Backstrom / GGNFS-0.77.1-20060513-athlon-xp / 9.64 hours on Cygwin on AMD 64 3200+ / May 30, 2007)
4·10147-3 =
3(9)1467<148>
= 7 · 2971 · 22817 · 5376997 · 240199957029223<15> · 273199160813688267149<21> · 23889588913594574475929876312351944481893313094962135579909079561530512866545114896458278647676887<98>
4·10148-3 =
3(9)1477<149>
= 37 · 157 · 373 · 2389 · 2917 · 201743 · 343164397202925323<18> · 64183606304071153348418983401419<32> · 6908604692602464799988145292045693<34> · 86294287414556460254625701135729827536592888259<47> (suberi / GMP-ECM 6.1.2 B1=3000000, sigma=3953659318 for P34, Msieve v. 1.21 for P32 x P47 / May 27, 2007)
4·10149-3 =
3(9)1487<150>
= 13 · 911 · 8293 · 545089 · 692711021 · 2688167459147<13> · 226142307192019<15> · 15326187926061329027<20> · 1157696703547254603848585872652004888990661141450769341724267842304423923546987717<82>
4·10150-3 =
3(9)1497<151>
= 605809 · 668303 · 17421041925411688220041828729141<32> · 567122311859518978548006909404846623637198342715283109964847436402409068996195290258639929154813994828674871<108> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=1490425036 for P32 / May 20, 2007)
4·10151-3 =
3(9)1507<152>
= 172 · 19 · 37 · 813601 · 94455601 · 97616772977<11> · 196347596050337<15> · 5853974215361273<16> · 1910611134746116246492096414368671609087657<43> · 11950731510953569288974090598473301504132412787619<50> (Jo Yeong Uk / Msieve v. 1.21 / 01:20:16 on Core 2 Quad Q6600 / May 27, 2007)
4·10152-3 =
3(9)1517<153>
= 21200771 · 25893612998221<14> · 14503289669621063451952205056921<32> · 230079279032884613931774793453258451457362123<45> · 218359280476393118332391848988420792397153683310217125049<57> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=3405885018 for P32 / May 20, 2007) (Jo Yeong Uk / GGNFS-0.77.1-20050930-nocona gnfs for P45 x P57 / 4.32 hours on Core 2 Quad Q6600 / May 29, 2007)
4·10153-3 =
3(9)1527<154>
= 7 · 36598463075809<14> · 701099996975822570854039960283603801308933<42> · 22269944676906901137452796561787706700352178347453639664548712306567745747002959525951900206522943<98> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 19.25 hours on Cygwin on AMD 64 3400+ / May 31, 2007)
4·10154-3 =
3(9)1537<155>
= 37 · 853 · 13650357197160249109048459378477<32> · 92846432266895293000127005136899584386269985976279393784014840396257054232599914470996487908411988310488572830000344201<119> (suberi / GMP-ECM 6.1.2 B1=1000000, sigma=1519448081 for P32 / May 26, 2007)
4·10155-3 =
3(9)1547<156>
= 13 · 74021 · 717586043 · 10620083077<11> · 427997120828569<15> · 10662789829826507524988610737<29> · 668404157299327687829641084245529<33> · 17881706191141523544777563470541642887933189900446591227<56> (Makoto Kamada / Msieve 1.21 for P33 x P56 / 1.2 hours on Pentium 4 3.06GHz, Windows XP and Cygwin / May 25, 2007)
4·10156-3 =
3(9)1557<157>
= 59 · 107 · 1194517 · 1712017 · 268088377 · 131763604859<12> · 2702234461760532104363775230161432847793282975403282127651<58> · 3245841528993986751667674942064439467735740830325023575616058697<64> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 23.94 hours on Cygwin on AMD 64 3400+ / Jun 1, 2007)
4·10157-3 =
3(9)1567<158>
= 37 · 233 · 654148025247903819445200473<27> · 62340393015907132203772014784207<32> · 113777601846523036079732053245822156937012105295007861651633387620863333730618728133717777250487<96> (Robert Backstrom / GMP-ECM 5.0 B1=560000, sigma=3591233526 for P32 / Jun 1, 2007)
4·10158-3 =
3(9)1577<159>
= 23 · 421 · 9719 · 84246010477<11> · 8014081898888363<16> · 11050093067758527443<20> · 569717318416326810720929025608283300614917244291184928750325669738466209246793461655441639351362116072477<105>
4·10159-3 =
3(9)1587<160>
= 7 · 80177 · 6869025736566408403013738614059587089<37> · 1037569042972137310167842357523279974289448792553913560988035736213951007069294488349444811458102522621741991129070107<118> (Robert Backstrom / GMP-ECM 5.0 B1=1175000, sigma=1004187034 for P37 / Jun 3, 2007)
4·10160-3 =
3(9)1597<161>
= 37 · 8831 · 692401 · 130186804290707<15> · 1358074921776997541093613480752815421230715180216326847396861549763805381645783363747260889823314152798592670894158292366642503232978893<136>
4·10161-3 =
3(9)1607<162>
= 13 · 71 · 738953 · 17948851 · 743599950371757358081470341<27> · 2846805213519635781879812334100609838888539<43> · 15435038486874269067278126927452408807037060575563649377214970000125309743587<77> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon snfs, Msieve 1.28 / Nov 5, 2007)
4·10162-3 =
3(9)1617<163>
= 181 · 191 · 13967 · 44196517 · 187437667353133641579896219893084533271654501457295514149873246674988096493801677952503433632788842512148666727010903119940315609353248734828598213<147>
4·10163-3 =
3(9)1627<164>
= 37 · 2731 · 2143105582125249973892797<25> · 184711102115652912559829651648340141708639942766746628988646716603251538362889943145259932091349376184382672397162783324799414700778183<135>
4·10164-3 =
3(9)1637<165>
= 21347 · 59377 · 1751822150967709<16> · 3934065255006277<16> · 618354792441051937903025593120469857<36> · 74051794299396180801895939838809464335023542105428143074269478481756813823421500448195263<89> (Robert Backstrom / GMP-ECM 6.0.1 B1=1904000, sigma=1737887603 for P36 / Jan 27, 2008)
4·10165-3 =
3(9)1647<166>
= 7 · 27378378473<11> · 1137877654421<13> · 1743800503693<13> · 26423295905393<14> · 398084137530776700080306074969894910879972018982367787181873869209329782843778612347295824688609090437057044494476963<117>
4·10166-3 =
3(9)1657<167>
= 37 · 109 · 467 · 21467 · 10558902718487179894422921589845289<35> · 93696796766281288719136025075673968299994681684211285870697078809182558148593470010534568057803410687480015936158750023029<122> (suberi / GMP-ECM 6.1.2 B1=11000000, sigma=2108914274 for P35 / Jun 17, 2007)
4·10167-3 =
3(9)1667<168>
= 13 · 17 · 139 · 4421 · 7873915303<10> · 618273762409165239603405636857538455481103354894431607<54> · 605007623043639365025444446465689291883809981765758204992885675613074765084447457982884602953543<96> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve 1.34 / May 3, 2008)
4·10168-3 =
3(9)1677<169>
= 349 · 241074611 · 21544306803353103509843977179159206218824143080472857184693633917823174539019<77> · 2206736938256127773273970339311752643567289428173222443185875220281755576364296817<82> (Robert Backstrom / GGNFS-0.77.1-20050930-k8 snfs, Msieve / 57.18 hours on AMD 64 X2 6000+ / Jul 2, 2008)
4·10169-3 =
3(9)1687<170>
= 19 · 37 · 59575883658323<14> · 30692857989778185165053603047<29> · 31116937215133474980374533761582448867535560741357354286987308023403975327343232952345796160429870240150136693005402842524679<125>
4·10170-3 =
3(9)1697<171>
= 229 · 73679 · 1360033104762423088299063931973963977671913<43> · 3590519653945782877764230523114444807700131409621<49> · 4854829677573519382682020652046055052653649124445093405710647102555118179<73> (matsui / GGNFS-0.77.1-20060513-prescott snfs / Mar 29, 2008)
4·10171-3 =
3(9)1707<172>
= 7 · 992551249 · 11060804449<11> · 19009303771<11> · 1249207319055289192086424463607428111<37> · 2191904185664257747583477319317672323649397459016399392947765286350833997120102120957046738111957790744991<106> (suberi / GMP-ECM 6.2.1 Using B1=3000000, sigma=3148089844 for P37 / Jun 20, 2008)
4·10172-3 =
3(9)1717<173>
= 37 · 814943 · 27165623 · 48832770475637058688289728087471320936929235388394460371688450816622186572844678792645300936249874056281179579281939823074319813813592925895028739080175018129<158>
4·10173-3 =
3(9)1727<174>
= 13 · 29 · 821 · 244871189 · 1470687859<10> · 295787873856326456210132161<27> · 12132126252958485317086257119095778549334463812140850594232880584559016984347205105566975235163058997056741777849838457705631<125>
4·10174-3 =
3(9)1737<175>
= 60245455742914874964935791279271<32> · [66395049231085237918736844489235035302968882127983995400674751551693234252075026857441283507447362557455506331177428848643832758876913437458107<143>] (Jo Yeong Uk / GMP-ECM 6.1.2 B1=3000000, sigma=314052089 for P32 / May 25, 2007) SUBMIT/RESERVE
4·10175-3 =
3(9)1747<176>
= 372 · 1849333 · 52010557 · 303773523732781446111930850585230844141486761976048963557399688731622229122587275559123645226746156393682315465345557255618709325197992366195258595418382428773<159>
4·10176-3 =
3(9)1757<177>
= 193 · 13113882797873453847959<23> · 140786620504536695020707731<27> · 1122561130255879507927802289317641759178868599963118388187172909479316565250143224878647226352077744450004274987499424113476201<127>
4·10177-3 =
3(9)1767<178>
= 72 · 149 · 104527872343<12> · 744257197546368646250747557136527<33> · [7042429192906424012095954898321448692172680100055856776993084295288494275835228990855496106111694690400340761913941822915514261377<130>] (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2266155566 for P33 / May 22, 2007) SUBMIT/RESERVE
4·10178-3 =
3(9)1777<179>
= 37 · 2221 · 20241131 · 1207256893<10> · 579423690281255535601<21> · 5667272324211519330341603<25> · 3576972140873047796254427399<28> · 1695857482714828712186708311463192154412337336611818174538353402695440640401759136711<85>
4·10179-3 =
3(9)1787<180>
= 13 · 751609465955754276518902944827<30> · 5440737829768967253704195829959<31> · 7524308589497537700550163236387070963072198888286762101154838011070880004644191216696466958842086243668442125836776933<118> (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=927040615 for P30 / May 23, 2007) (suberi / GMP-ECM 6.1.2 B1=11000000, sigma=3294625248 for P31 / Jun 13, 2007)
4·10180-3 =
3(9)1797<181>
= 23 · 2610247689748216883<19> · 4455431106591385317241127<25> · 14954114534311527479908333837569690356550148128083157624630490652393719070521316215760056259648131751868798013172319524364812384061793679<137>
4·10181-3 =
3(9)1807<182>
= 37 · 6552361387299529<16> · 8291913204617709848350999199<28> · [19897828227445873871956157628279839871658250521576796072644887258104496175433402377572037925905789194291543290519291431564516077026024111<137>] SUBMIT/RESERVE
4·10182-3 =
3(9)1817<183>
= 3313 · 11483 · 176053 · 39387975579353615896504296945339241<35> · 1516268457802174096132783680473005131671559431263031934817627015235299434290293219117245850021882172515022423742506186276722478373533891<136> (suberi / GMP-ECM 6.2.1 Using B1=3000000, sigma=2421712102 for P35 / Jun 20, 2008)
4·10183-3 =
3(9)1827<184>
= 7 · 17 · 257 · 261895240531<12> · 499404326677392851160118316001731919717314042704772510699181966654965057638113906373604439672083475557583263804048916838703040440535668283186875588603888051095992326089<168>
4·10184-3 =
3(9)1837<185>
= 37 · 157259 · 148694525615558387<18> · [46232542533035156454001969191075700663377951751542947000241440733456941405937047716774280151233364457060382332182637363398327474885951118725856060311448752067657<161>] SUBMIT/RESERVE
4·10185-3 =
3(9)1847<186>
= 13 · 2710082539<10> · [11353613894204264023992972108230969725003357460187956744283215637230733521496346856921603608313285682267099847459380560671096678642240707500004755674059847972316399906235759571<176>] SUBMIT/RESERVE
4·10186-3 =
3(9)1857<187>
= 541 · 18181 · 293399 · [1386073722394237385667707080376673333733102454735988906843612461646853974976645202149448609623268373027185703012694838977855794137228362182272244438249363077580902610355303643<175>] SUBMIT/RESERVE
4·10187-3 =
3(9)1867<188>
= 192 · 37 · 83 · 367 · 81233 · 113418820344084397<18> · 1491680926343259894290342089<28> · 7153413893207441460384612540575357075060779175356713007446539232782416744598244977081671777650334633749799506018933512445451568449<130>
4·10188-3 =
3(9)1877<189>
= 47 · 61 · 2833 · 10321 · 42535499 · 84752832613<11> · [1323604367824830365446812101635373005900328781335332188667793636513128284501701704888908950746632715367704774110799546210762367186905822641546878361391896109801<160>] SUBMIT/RESERVE
4·10189-3 =
3(9)1887<190>
= 7 · 63857 · 360223 · 582137 · 1427514587<10> · 455065102771685432854413941<27> · [65690521616277898013818798682364724712280279417538283651273540111107403848406641788440166732373008904205185184763921643472182793286827659<137>] SUBMIT/RESERVE
4·10190-3 =
3(9)1897<191>
= 37 · 3635999 · [297327111773430378028454100532228166476690747461999049251961037690351697313745433120603465809831378138740159466787829446895084701915781902327553192693694657529081025897169135932402919<183>] SUBMIT/RESERVE
4·10191-3 =
3(9)1907<192>
= 13 · 177127 · 331079288971<12> · 1473051576539791802518135543<28> · [356190149584275523195576561147499332086015646525597867121960594664691220473516464510001055670663735998707729228821428958114201172144961290600778899<147>] SUBMIT/RESERVE
4·10192-3 =
3(9)1917<193>
= 227 · 22555714451591<14> · [781227542681823859790957603156406430575181387298808470504260574525604491999625601520881940038956175118291673481749284999672505650007975167123784406037036563148820753525787950121<177>] SUBMIT/RESERVE
4·10193-3 =
3(9)1927<194>
= 37 · 235266609366383526000551177317<30> · [4595131812341038524673377425547981526256392877400040967588225812152509612718673550314089210300607006960890832290659727712513631897072820523735853258609334800261893<163>] (Makoto Kamada / GMP-ECM 6.1.2 B1=250000, sigma=2241430052 for P30 / May 25, 2007) SUBMIT/RESERVE
4·10194-3 =
3(9)1937<195>
= 502571964899<12> · 1925168799160814333812958029<28> · 413421366578363171432059253600288935368523036838341165155215332021502664189018105666593248581229852058266787902584327949523152495244420824849082527651076507<156>
4·10195-3 =
3(9)1947<196>
= 7 · 101197 · 3771194733060677910727165656242155763<37> · 1497322513815848534027864445072580097326790638319429568818602330439582708603315019200778229678277949703995368212735241456117614079298626340503579378845661<154> (suberi / GMP-ECM 6.1.2 B1=11000000, sigma=623019224 for P37 / Jul 2, 2007)
4·10196-3 =
3(9)1957<197>
= 37 · 71 · 165877 · 663125854879949029<18> · 138426036845615656961011396327543838035903055332231512635031524827079330162710730925790055521594845830045140311764685242362450595921706270377656813672024949972992893312167<171>
4·10197-3 =
3(9)1967<198>
= 13 · 479 · 18637 · 547945051 · 6290252972320835500301583137386179068730753834386757638534448663592729205181241395146096616285503212073204229043413531108653966160156017609835738557450047181599906128165511611095153<181>
4·10198-3 =
3(9)1977<199>
= 4168943 · 33219052837<11> · 28883298505783667127465062432837137980505713805801748003225291601780899794002629751362561687679195460597080827273611634395066768992600093950856036323211882147261936771117127695068567<182>
4·10199-3 =
3(9)1987<200>
= 17 · 37 · 113 · 2351 · 6599 · 1762649657<10> · [20579468022679290363403006217927211257782345065101645447343343299782815525132234892412631316922585660099256128786300617930853341609588826485809160148169001698279353098407314749177<179>] SUBMIT/RESERVE
4·10200-3 =
3(9)1997<201>
= 397 · 1591080945026496112917339112958930463606304590528911569<55> · 633252932990278223069090414959637564981283096491029523470488470154265459768968029261042716837602446043281857774800232294214750266149540233317729<144> (Wataru Sakai / Msieve / 626.57 hours / Dec 6, 2008)

4. References

Copyright (C) 1999-2009 Makoto Kamada All Rights Reserved.