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Factorizations of 588...881

Table of contents

  1. About 588...881
  2. Prime numbers of the form 588...881
  3. Factorizations of 588...881
  4. References

1. About 588...881

First ten terms

51, 581, 5881, 58881, 588881, 5888881, 58888881, 588888881, 5888888881, 58888888881

General term

(53·10n-71)/9

2. Prime numbers of the form 588...881

Last update

Jan 18, 2009

Searched up to

n≤10000

Difficulty of search

16.28%

Results

  1. (53·103-71)/9 = 5881 is prime. (Makoto Kamada / Dec 3, 2004)
  2. (53·105-71)/9 = 588881 is prime. (Makoto Kamada / Dec 3, 2004)
  3. (53·106-71)/9 = 5888881 is prime. (Makoto Kamada / Dec 3, 2004)
  4. (53·1021-71)/9 = 5(8)201<22> is prime. (Makoto Kamada / PPSIQS / Dec 3, 2004)
  5. (53·10309-71)/9 = 5(8)3081<310> is prime. (searched by Makoto Kamada / Dec 3, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
  6. (53·10816-71)/9 = 5(8)8151<817> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
  7. (53·10858-71)/9 = 5(8)8571<859> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
  8. (53·101115-71)/9 = 5(8)11141<1116> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 13, 2006)
  9. (53·101419-71)/9 = 5(8)14181<1420> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 8, 2006)
  10. (53·101689-71)/9 = 5(8)16881<1690> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 20, 2006)

3. Factorizations of 588...881

Last update

Nov 4, 2009

Completed up to

Range

n≤205

Terms which have not been factored yet

n=172, 174, 176, 177, 179, 180, 182, 184, 186, 187, 188, 189, 190, 198, 199, 200, 201, 202, 203, 205 (20/205)

Results

(53·101-71)/9 =
51
= 3 · 17
(53·102-71)/9 =
581
= 7 · 83
(53·103-71)/9 =
5881
= definitely prime number
(53·104-71)/9 =
58881
= 3 · 19 · 1033
(53·105-71)/9 =
588881
= definitely prime number
(53·106-71)/9 =
5888881
= definitely prime number
(53·107-71)/9 =
58888881
= 32 · 73 · 89633
(53·108-71)/9 =
588888881
= 7 · 89 · 359 · 2633
(53·109-71)/9 =
5888888881<10>
= 23 · 256038647
(53·1010-71)/9 =
58888888881<11>
= 3 · 61 · 331 · 972197
(53·1011-71)/9 =
588888888881<12>
= 97 · 11447 · 530359
(53·1012-71)/9 =
5888888888881<13>
= 5701 · 1032957181<10>
(53·1013-71)/9 =
58888888888881<14>
= 3 · 1013 · 19377719279<11>
(53·1014-71)/9 =
588888888888881<15>
= 72 · 47 · 751 · 340486177
(53·1015-71)/9 =
5888888888888881<16>
= 73 · 617 · 130745074241<12>
(53·1016-71)/9 =
58888888888888881<17>
= 32 · 6543209876543209<16>
(53·1017-71)/9 =
588888888888888881<18>
= 172 · 163 · 1851503 · 6751861
(53·1018-71)/9 =
5888888888888888881<19>
= 173 · 1386043 · 24558992879<11>
(53·1019-71)/9 =
58888888888888888881<20>
= 3 · 2203 · 12781 · 65867 · 10584367
(53·1020-71)/9 =
588888888888888888881<21>
= 7 · 6806327707<10> · 12360113669<11>
(53·1021-71)/9 =
5888888888888888888881<22>
= definitely prime number
(53·1022-71)/9 =
58888888888888888888881<23>
= 3 · 192 · 103 · 527919469371208069<18>
(53·1023-71)/9 =
588888888888888888888881<24>
= 73 · 1607 · 19009 · 264079903482319<15>
(53·1024-71)/9 =
5888888888888888888888881<25>
= 7121 · 12123434231<11> · 68212931431<11>
(53·1025-71)/9 =
58888888888888888888888881<26>
= 34 · 299477 · 65092267 · 37295417239<11>
(53·1026-71)/9 =
588888888888888888888888881<27>
= 7 · 29 · 503 · 5767257429696587851109<22>
(53·1027-71)/9 =
5888888888888888888888888881<28>
= 1229 · 14737 · 44563 · 7296220891954919<16>
(53·1028-71)/9 =
58888888888888888888888888881<29>
= 3 · 52905920969387<14> · 371028975017521<15>
(53·1029-71)/9 =
588888888888888888888888888881<30>
= 1104449 · 199159763623<12> · 2677232520103<13>
(53·1030-71)/9 =
5888888888888888888888888888881<31>
= 216411202177<12> · 27211571442001605553<20>
(53·1031-71)/9 =
58888888888888888888888888888881<32>
= 3 · 23 · 73 · 120427 · 248887 · 390063513887852537<18>
(53·1032-71)/9 =
588888888888888888888888888888881<33>
= 7 · 2719 · 773392758107<12> · 40006081140077851<17>
(53·1033-71)/9 =
5888888888888888888888888888888881<34>
= 17 · 727079 · 476434099675784797306101367<27>
(53·1034-71)/9 =
58888888888888888888888888888888881<35>
= 32 · 151 · 8923 · 10309561429<11> · 471045457166534777<18>
(53·1035-71)/9 =
588888888888888888888888888888888881<36>
= 249779 · 2666281 · 884242774508149421827219<24>
(53·1036-71)/9 =
5888888888888888888888888888888888881<37>
= 10141 · 40129 · 100577513 · 143877653899682891933<21>
(53·1037-71)/9 =
58888888888888888888888888888888888881<38>
= 3 · 661981800841<12> · 29652823694989204993466147<26>
(53·1038-71)/9 =
588888888888888888888888888888888888881<39>
= 7 · 257 · 487 · 28168661 · 52981991617<11> · 450379643446301<15>
(53·1039-71)/9 =
5888888888888888888888888888888888888881<40>
= 73 · 22531 · 29031681353<11> · 123326908229227740619979<24>
(53·1040-71)/9 =
58888888888888888888888888888888888888881<41>
= 3 · 19 · 6364698105533<13> · 162323237399322949583843501<27>
(53·1041-71)/9 =
588888888888888888888888888888888888888881<42>
= 383 · 29788255769355667<17> · 51616614023938225547221<23>
(53·1042-71)/9 =
5888888888888888888888888888888888888888881<43>
= 389 · 28863400884919<14> · 524488846910387211753173291<27>
(53·1043-71)/9 =
58888888888888888888888888888888888888888881<44>
= 32 · 83 · 78833853934255540681243492488472408151123<41>
(53·1044-71)/9 =
588888888888888888888888888888888888888888881<45>
= 7 · 11527 · 5248098173<10> · 18064170661673<14> · 76983747590692301<17>
(53·1045-71)/9 =
5888888888888888888888888888888888888888888881<46>
= 8316036677323<13> · 23890111037137<14> · 29641405714917392131<20>
(53·1046-71)/9 =
58888888888888888888888888888888888888888888881<47>
= 3 · 1057019 · 1439273765063<13> · 12902857543795728614844555191<29>
(53·1047-71)/9 =
588888888888888888888888888888888888888888888881<48>
= 73 · 4373 · 630901 · 2475779 · 62278991 · 18963406916939064856501<23>
(53·1048-71)/9 =
5888888888888888888888888888888888888888888888881<49>
= 8123 · 19403329703<11> · 37362905684305402197576029039534149<35>
(53·1049-71)/9 =
58888888888888888888888888888888888888888888888881<50>
= 3 · 17 · 19901131630841<14> · 65653305833119<14> · 883748750693136097789<21>
(53·1050-71)/9 =
588888888888888888888888888888888888888888888888881<51>
= 7 · 1020431 · 83576701427<11> · 986430404304479046285922004045459<33>
(53·1051-71)/9 =
5888888888888888888888888888888888888888888888888881<52>
= 1277 · 5219363 · 270069505663<12> · 105104482081139<15> · 31126348409390483<17>
(53·1052-71)/9 =
58888888888888888888888888888888888888888888888888881<53>
= 33 · 89 · 31586237 · 775857030136164707942794544452471768839671<42>
(53·1053-71)/9 =
588888888888888888888888888888888888888888888888888881<54>
= 23 · 109 · 523 · 1103 · 90832571 · 4482912043331268641870927013961628917<37>
(53·1054-71)/9 =
5888888888888888888888888888888888888888888888888888881<55>
= 29 · 59 · 2447 · 135999900809<12> · 10342148982373708347801189384190257577<38>
(53·1055-71)/9 =
58888888888888888888888888888888888888888888888888888881<56>
= 3 · 73 · 324049601 · 829808261428236393837035673125349789656718499<45>
(53·1056-71)/9 =
588888888888888888888888888888888888888888888888888888881<57>
= 72 · 103 · 2339 · 3607 · 196331 · 94832058049<11> · 742813241475451784330375535329<30>
(53·1057-71)/9 =
5888888888888888888888888888888888888888888888888888888881<58>
= 9433 · 13772342817761197393<20> · 45328954386675800692352806994309449<35>
(53·1058-71)/9 =
58888888888888888888888888888888888888888888888888888888881<59>
= 3 · 19 · 5693 · 928699 · 195408001355075689093084587602280319205325220919<48>
(53·1059-71)/9 =
588888888888888888888888888888888888888888888888888888888881<60>
= 1439 · 3041 · 6079 · 22137266975879997584492865758562678360431746851761<50>
(53·1060-71)/9 =
5888888888888888888888888888888888888888888888888888888888881<61>
= 47 · 163451145079199928449<21> · 766562438051565733856576133742869405727<39>
(53·1061-71)/9 =
58888888888888888888888888888888888888888888888888888888888881<62>
= 32 · 173 · 227 · 335576792461<12> · 496508824638364333888450621457281750844384939<45>
(53·1062-71)/9 =
588888888888888888888888888888888888888888888888888888888888881<63>
= 7 · 14831 · 6036631328398351551723133<25> · 939658900966640069286878670397021<33>
(53·1063-71)/9 =
5888888888888888888888888888888888888888888888888888888888888881<64>
= 73 · 171731111 · 1859895683663<13> · 160979708619372611<18> · 1568923604310336361825739<25>
(53·1064-71)/9 =
58888888888888888888888888888888888888888888888888888888888888881<65>
= 3 · 431059762717327820590592963<27> · 45538069955515600072496823745066709929<38>
(53·1065-71)/9 =
588888888888888888888888888888888888888888888888888888888888888881<66>
= 17 · 5279 · 10079 · 10710374819<11> · 60786993230888927604330673214722109188883285867<47>
(53·1066-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888881<67>
= 547809605884906381<18> · 10749882487687030023021378185909490274022078632501<50>
(53·1067-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888881<68>
= 3 · 131 · 293 · 466331 · 1096677422571488573157642767070124807067895827091213178799<58>
(53·1068-71)/9 =
588888888888888888888888888888888888888888888888888888888888888888881<69>
= 7 · 84126984126984126984126984126984126984126984126984126984126984126983<68>
(53·1069-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888888881<70>
= 23131 · 254588599234312778906614019665768401231632393276939556823694993251<66>
(53·1070-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888888881<71>
= 32 · 61 · 877 · 218744934291839<15> · 1497871847355353<16> · 373292066202795930160185719879978791<36>
(53·1071-71)/9 =
588888888888888888888888888888888888888888888888888888888888888888888881<72>
= 73 · 113 · 6364765061<10> · 194707126518016727<18> · 57606014795866199553396322501488149293027<41>
(53·1072-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888881<73>
= 19001638949978093411483292353<29> · 309914787055549124861366649484252317708420977<45>
(53·1073-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888881<74>
= 3 · 467 · 971 · 130469 · 18942967 · 20460813561661003<17> · 856047297349113315460909978111401345019<39>
(53·1074-71)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888881<75>
= 7 · 991 · 84891003155382570115163455224000128137363253407653004020309772075665113<71>
(53·1075-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888881<76>
= 23 · 24799 · 12320448234531581377<20> · 1935414601243321605500959<25> · 432982988896796484956780471<27>
(53·1076-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888881<77>
= 3 · 19 · 191297 · 5400703626086421590684320201359426394732475687331501231243241669024889<70>
(53·1077-71)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888881<78>
= 1811 · 11217617 · 640033828396636394021746364327<30> · 45290944032109792251013954122507637069<38>
(53·1078-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888881<79>
= 1723 · 249433 · 1810739385797299987<19> · 7567252481558441531474173718208851119511917081763257<52>
(53·1079-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888881<80>
= 33 · 73 · 18913 · 19023881 · 83039971735286605303083574612839591473231739353808478739716533587<65>
(53·1080-71)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888881<81>
= 7 · 263 · 1377425118623<13> · 2140234132645573623178530253<28> · 108505133899209751853390153523354379739<39>
(53·1081-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888881<82>
= 17 · 313 · 127107968483092153063368594434293<33> · 8706975523887808671037951737209736665513544677<46> (Makoto Kamada / GGNFS-0.70.1 / 0.14 hours)
(53·1082-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888881<83>
= 3 · 29 · 6211 · 41597 · 226643 · 15497719 · 745899774432181616569046041284707022402873013761676948313917<60>
(53·1083-71)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888881<84>
= 95111 · 114571 · 27803521223963<14> · 362177277718577<15> · 11515990247800079<17> · 466021140831431727043581445169<30>
(53·1084-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888881<85>
= 83 · 1471 · 48232813420006788996002136804639814640387973830513533854429728886085925392028117<80>
(53·1085-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888881<86>
= 3 · 258858156034976966128582043589426419<36> · 75831605734598797514321239433181893407284362046233<50> (Makoto Kamada / GGNFS-0.70.3 / 0.16 hours)
(53·1086-71)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888888881<87>
= 7 · 216660013 · 9273643199<10> · 41870309655332305070117723204095084730629672490821257008703279042109<68>
(53·1087-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<88>
= 73 · 12611 · 362504857789<12> · 17646035296551866236141897788241545229657766805015381372793198528203743<71>
(53·1088-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<89>
= 32 · 307 · 10867 · 24509 · 4790117 · 22888234738212157<17> · 61431256064071256744393<23> · 11881448800631545245681966651037<32>
(53·1089-71)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<90>
= 2477 · 2549 · 173617 · 3144457 · 24319157 · 15751326793<11> · 445999068794380552343439707090512553984992327365615613<54>
(53·1090-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<91>
= 103 · 15530717964718934354255993<26> · 3681328748792105755986721998852761638866417150499267372708235039<64>
(53·1091-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<92>
= 3 · 191 · 14433366476376882121<20> · 7120509977091590839924585451198628198749604746526788747649789653995357<70>
(53·1092-71)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<93>
= 7 · 67537 · 6659333 · 29334098039133288295361<23> · 6376613339626367516413377119408574820099517297915040673643<58>
(53·1093-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<94>
= 20149 · 21881 · 340467921179<12> · 174742186484123448271<21> · 224511572927862778526862044082485723569405656200033761<54>
(53·1094-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<95>
= 3 · 19 · 17883277 · 142455251 · 1242204541<10> · 90511908665806157449139637089<29> · 3606900009848750786607741807322282673371<40>
(53·1095-71)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<96>
= 73 · 52706587557947686850779175264478158779867<41> · 153054323082490719429614998253590499790578055440076491<54> (Makoto Kamada / GGNFS-0.70.7 / 0.44 hours)
(53·1096-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<97>
= 89 · 57405809 · 1152623611425666172347046019212682518266112592571823330003416551017616613178220869811881<88>
(53·1097-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<98>
= 32 · 17 · 23 · 1039 · 62889962241303172759934053<26> · 21569403285854316220119761407429<32> · 11873508875196513574288164122867593<35>
(53·1098-71)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<99>
= 72 · 163 · 787 · 93686053192360217005888840154464615051696759599165812311729700676065074756786144843835159849<92>
(53·1099-71)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<100>
= 1667 · 2239103 · 4435949902561517<16> · 355661663721729300119539646258820180495556944741674143728501212491786046393<75>
(53·10100-71)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888881<101>
= 3 · 324491 · 3787247 · 619416855855512342314957<24> · 22002089602448522330195231<26> · 1172030385078651080530939940727621590053<40>
(53·10101-71)/9 =
5(8)1001<102>
= 1093 · 899589341557183037<18> · 4094063572893842408371090892240081082571<40> · 146289890507830428192767618596204419086371<42> (Makoto Kamada / Msieve 1.41 for P40 x P42 / Apr 16, 2009)
(53·10102-71)/9 =
5(8)1011<103>
= 179 · 4094934691079161<16> · 129498844361738502967<21> · 62039381095487231560436730366456924422756702873859877437408068597<65>
(53·10103-71)/9 =
5(8)1021<104>
= 3 · 73 · 617 · 1613 · 8081 · 642079 · 1901177 · 316102187 · 12594200321983278331<20> · 157570442389731402339029<24> · 43663720436575394648925187381<29>
(53·10104-71)/9 =
5(8)1031<105>
= 7 · 173 · 6221 · 78168002771689891486441118351680469734831569118382475713090923737688889844603337871059637628772751<98>
(53·10105-71)/9 =
5(8)1041<106>
= 10857465529<11> · 35522304553<11> · 15268759957603035625296940698463366000562188721225646929396136230574543101931783341713<86>
(53·10106-71)/9 =
5(8)1051<107>
= 34 · 47 · 115589 · 11101133 · 2835711100471259861<19> · 4251132953866624156072208625201612298587591539301152486681441123670362419<73>
(53·10107-71)/9 =
5(8)1061<108>
= 97 · 269 · 461 · 1384979565662153197387040503504412975669<40> · 35348016964029802824250185131245245092377627875980924329954213<62> (Ignacio Santos / GNFS, Msieve for P40 x P62 / 0.76 hours / Apr 17, 2009)
(53·10108-71)/9 =
5(8)1071<109>
= 421 · 29297501 · 430615281038629<15> · 319181918660889098930037073298941<33> · 3473705275298972895412113439373104122491255140892849<52> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=534822391 for P33 / Apr 10, 2009)
(53·10109-71)/9 =
5(8)1081<110>
= 3 · 149 · 151 · 306151033404305107<18> · 80828735637788743799<20> · 913816114880227934763160998136931<33> · 38582339849728197044686962075943831<35> (Makoto Kamada / Msieve 1.41 for P33 x P35 / Apr 16, 2009)
(53·10110-71)/9 =
5(8)1091<111>
= 7 · 29 · 2617 · 593491 · 658012843 · 2838475120437573349667574349717310451478963981064381036128795055601206087548972054997692987<91>
(53·10111-71)/9 =
5(8)1101<112>
= 73 · 73751 · 106363 · 14493900658606329765271121197487209608426062754421<50> · 709523408350170592136127179652066112526467686866489<51> (Ignacio Santos / GNFS, Msieve for P50 x P51 / 0.96 hours / Apr 17, 2009)
(53·10112-71)/9 =
5(8)1111<113>
= 3 · 19 · 59 · 670785656039321<15> · 26104941582692408387080867553243408576812896413999854445492803836930051639516616911852068440147<95>
(53·10113-71)/9 =
5(8)1121<114>
= 17 · 3073637843<10> · 26030474118504845162784711103<29> · 21345774804552219173791307932777<32> · 20283259285534416690786936552147311459023421<44> (Makoto Kamada / Msieve 1.41 for P32 x P44 / Apr 16, 2009)
(53·10114-71)/9 =
5(8)1131<115>
= 347 · 1098821 · 12422477353909752603224071<26> · 9200036238141958862016780487<28> · 135138527632857965281947845888266035181084871056851319<54>
(53·10115-71)/9 =
5(8)1141<116>
= 32 · 223 · 5273 · 258714152872988458408233821774037897987784234433911<51> · 21508396256747219765998592929869798919896339768469661174761<59> (Ignacio Santos / GNFS, Msieve for P51 x P59 / 1.34 hours / Apr 17, 2009)
(53·10116-71)/9 =
5(8)1151<117>
= 7 · 181 · 41051 · 197395949587579<15> · 411598764225558521<18> · 139354406204265262380917778504260890327793818179835316727054908460471213759227<78>
(53·10117-71)/9 =
5(8)1161<118>
= 23291 · 8244941 · 2020992133164073<16> · 15173754371698899854501201542634460820931476529584690374746231860621347841247740198848786487<92>
(53·10118-71)/9 =
5(8)1171<119>
= 3 · 38449 · 149749 · 1275805291<10> · 143413164431<12> · 18633297070769158516079458790673540997390269049164903204969912716208946135788203888035987<89>
(53·10119-71)/9 =
5(8)1181<120>
= 23 · 73 · 3137 · 247302525192062034320407341931514849<36> · 452105295957014023819909058843366067525219824276276508453661905503232282583903<78> (Ignacio Santos / GGNFS, Msieve snfs / 1.79 hours / Apr 17, 2009)
(53·10120-71)/9 =
5(8)1191<121>
= 331 · 43613 · 3706627 · 26786575570913598534091002158361449653541557924127<50> · 4108594908349800945919523446359933990845020074836239443163<58> (Ignacio Santos / GGNFS, Msieve snfs / 1.36 hours / Apr 17, 2009)
(53·10121-71)/9 =
5(8)1201<122>
= 3 · 194659 · 384621067 · 207102242897777867<18> · 1133539780530774666049337268862213<34> · 1116819481169900334059112170711297777323250963240946700829<58> (Max Dettweiler / YAFU v1.10, Msieve 1.38 for P34 x P58 / Apr 17, 2009)
(53·10122-71)/9 =
5(8)1211<123>
= 7 · 1179004951<10> · 7480215383<10> · 177347056604174454511<21> · 630717286820354075676054389814809387<36> · 85279936633148638422763035773378265185304157643<47> (Makoto Kamada / Msieve 1.41 for P36 x P47 / Apr 16, 2009)
(53·10123-71)/9 =
5(8)1221<124>
= 90943231 · 77869883783146913142335509<26> · 202264546609434854254852740781297727<36> · 4111248127642512233539893307565579092523923938001118957<55> (Max Dettweiler / YAFU v1.10, Msieve 1.38 for P36 x P55 / Apr 17, 2009)
(53·10124-71)/9 =
5(8)1231<125>
= 32 · 103 · 10391 · 313517 · 1925993 · 645449533165367934958837365343863903897071<42> · 15686216002025477513604797878670354464346679288472277430682098283<65> (Ignacio Santos / GGNFS, Msieve snfs / 2.33 hours / Apr 17, 2009)
(53·10125-71)/9 =
5(8)1241<126>
= 83 · 683 · 10388062743898973149797824778861664324452519693218947042440136338423484077843830176734267474975548852315067983010617384129<122>
(53·10126-71)/9 =
5(8)1251<127>
= 565317637 · 264989449909797421<18> · 5758013663635117081<19> · 5684611944651483322232939<25> · 1200988163561190672640607017828603374763803692154195687467<58>
(53·10127-71)/9 =
5(8)1261<128>
= 3 · 73 · 25493217427762241207<20> · 277735248679448990653<21> · 1260584242686275877442020368630191<34> · 30127404576352572895081225631427014656063055033555959<53> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2686745453 for P34 / Apr 11, 2009)
(53·10128-71)/9 =
5(8)1271<129>
= 7 · 167 · 24969206764244227895770332415233048905828749459976209<53> · 20175026012093362314000182915103646299439827080940433333601709650431305361<74> (Ignacio Santos / GGNFS, Msieve snfs / 3.22 hours / Apr 17, 2009)
(53·10129-71)/9 =
5(8)1281<130>
= 17 · 21589 · 25322624759976549455734598285790216107772481213399224703<56> · 633640886576731402778133093433220256786188375338961718270777059934179<69> (Ignacio Santos / GGNFS, Msieve snfs / 3.29 hours / Apr 17, 2009)
(53·10130-71)/9 =
5(8)1291<131>
= 3 · 19 · 61 · 577 · 2927 · 7382416109<10> · 1369886219328469<16> · 37956724012464402598129885947865441919<38> · 26125126047863880080771368057462882723263924827439187557293<59> (Sinkiti Sibata / Msieve 1.41 for P38 x P59 / 4.66 hours / Apr 17, 2009)
(53·10131-71)/9 =
5(8)1301<132>
= 53789159 · 124430651 · 176402014232377<15> · 2912459122147804891<19> · 183524087459434712877168183306541<33> · 933157135244103113116304207054813375684064955578707<51> (Makoto Kamada / Msieve 1.41 for P33 x P51 / Apr 16, 2009)
(53·10132-71)/9 =
5(8)1311<133>
= 1281391928383407443715643<25> · 70717068655533892290512518379<29> · 64987095316455214114952282532491980060259719423095323680698090107372690517136073<80>
(53·10133-71)/9 =
5(8)1321<134>
= 33 · 1736132214682934259760138027279169156218659023617<49> · 1256281025374591242622665628469340154953343169071606736108858272346763080946503313059<85> (Serge Batalov / Msieve-1.41 snfs / 2.32 hours on AMD Phenom(tm) II X4 940; openSUSE/64 / Apr 18, 2009)
(53·10134-71)/9 =
5(8)1331<135>
= 7 · 457 · 1361 · 1362262079<10> · 22366955165587<14> · 35115408031471<14> · 126414165203461110064362711192189231991309341210068958968228239455269842368262871632869692213<93>
(53·10135-71)/9 =
5(8)1341<136>
= 73 · 17971 · 208950478073359106691735508553258069951<39> · 238220374772566897555570835368515940408729<42> · 90181194435531348598364513854322550480408866621333<50> (Ignacio Santos / GGNFS, Msieve snfs / 3.61 hours / Apr 17, 2009)
(53·10136-71)/9 =
5(8)1351<137>
= 3 · 2377 · 4890889 · 4871047287539<13> · 12947051357240201<17> · 26773299780154646615513200737025890199377072197990198239460992442527588961461775229495821231409281<98>
(53·10137-71)/9 =
5(8)1361<138>
= 2529341 · 57317234083<11> · 10120347009555997<17> · 401370405761969480403280851842171287309279815934113212166050550483348660671964018196627310102106061806691<105>
(53·10138-71)/9 =
5(8)1371<139>
= 29 · 647951 · 358891536869<12> · 207918343886153<15> · 6192700806701161<16> · 343285591799040843138102857725593336454477<42> · 1975611290293895905492495874305707347552169153691<49> (Serge Batalov / Msieve v. 1.41 for P42 x P49 / 0.88 hours / Apr 18, 2009)
(53·10139-71)/9 =
5(8)1381<140>
= 3 · 751 · 2415546311873706757<19> · 19628836388346054508128484997147281<35> · 1950538446329560608415371227959497329<37> · 282623148366498362008930795950925297690193155889<48> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=2883563787 for P37, msieve qs for P35 x P48 / 0.21 hours / Apr 17, 2009)
(53·10140-71)/9 =
5(8)1391<141>
= 73 · 89 · 193 · 2111 · 133606127 · 354386619852558168198691820530336269705230519945387067338071404390448204591693233562244445080668640527252266400272265830943<123>
(53·10141-71)/9 =
5(8)1401<142>
= 23 · 5099 · 71573920589<11> · 1321406721497617037<19> · 530920131741653693412291687168997399151011423667852391848746436217311464869344283796886360418826622773597021<108>
(53·10142-71)/9 =
5(8)1411<143>
= 32 · 1709 · 278909 · 76152539500821414403933627<26> · 71133922634174006030717975784795514715709640159273987<53> · 2534107945612965006523312677086987427729240908255143361<55> (Ignacio Santos / GGNFS, Msieve snfs / 9.02 hours / Apr 17, 2009)
(53·10143-71)/9 =
5(8)1421<144>
= 73 · 7177 · 418279 · 38724030013<11> · 1584189593401<13> · 43804001850021173196114182337801108544800058741301859862693095118456303640113580433096013870864511349020345243<110>
(53·10144-71)/9 =
5(8)1431<145>
= 401 · 1483 · 1659757226539637575580313637<28> · 5966275015328736844715661106934015056266694175298361486440382337846547463462651726656547793591422844190610439111<112>
(53·10145-71)/9 =
5(8)1441<146>
= 3 · 17 · 929 · 485499853 · 850230413 · 1274328443<10> · 4221790879<10> · 3316688302115642889056012400773516430032419<43> · 168748133784761883638959898979058638917739521572854314854336157<63> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 gnfs for P43 x P63 / 5.68 hours, 0.63 hours / Apr 18, 2009)
(53·10146-71)/9 =
5(8)1451<147>
= 7 · 369361 · 15600681731<11> · 748067904629<12> · 331395687727519512413<21> · 58891529127516333749395895703020966043451594445976907153820401933956244542556350797391578157645469<98>
(53·10147-71)/9 =
5(8)1461<148>
= 173 · 911 · 1864678338609841<16> · 8841650303160994912744847210119857502267<40> · 2266374213407869403317452567641879525824318358979772631723729317593675170965387268563441<88> (Ignacio Santos / GGNFS, Msieve snfs / 13.69 hours / Apr 18, 2009)
(53·10148-71)/9 =
5(8)1471<149>
= 3 · 19 · 2381 · 5711 · 13834209197<11> · 82385359894943408004943162699533169281913<41> · 66662648941747010745791795419173523195324651729972252459647715337503778584049915638822583<89> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 9.99 hours on Core 2 Quad Q6700 / Apr 19, 2009)
(53·10149-71)/9 =
5(8)1481<150>
= 65563 · 1815347719<10> · 321073852383149036798633<24> · 106800209355250487145003373704765155010615558207705547567<57> · 144290479211011391034524051927928805222760474712705729043<57> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 15.47 hours, 0.42 hours / Apr 19, 2009)
(53·10150-71)/9 =
5(8)1491<151>
= 248747801 · 11462866529<11> · 1006667291845049530667097296308918344203566521580425950778739<61> · 2051610515873675499019042734361944316125748570732769002787444070163735651<73> (Ignacio Santos / GGNFS, Msieve snfs / 13.07 hours / Apr 19, 2009)
(53·10151-71)/9 =
5(8)1501<152>
= 32 · 73 · 601 · 3067 · 8360509 · 50792883547972719649<20> · 542501417551026748883<21> · 42936148687473484273728024786408390015437208617<47> · 4916094149477628730365878389162042910302106837749<49> (Sinkiti Sibata / Msieve 1.41 for P47 x P49 / 4.54 hours / Apr 18, 2009)
(53·10152-71)/9 =
5(8)1511<153>
= 7 · 47 · 132859 · 358120980514725128858958545331653679533<39> · 37619820414914044458839692273435650922151956137997093517622555060481625863874724410536072161511382815906487<107> (Markus Tervooren / Lattice siever (64bit/asm), msieve 1.40, factMsieve.pl snfs / 11.66 hours on Q6700@2.9Ghz, Linux / Apr 19, 2009)
(53·10153-71)/9 =
5(8)1521<154>
= 381407753 · 7056171646723<13> · 19433417519321671<17> · 112596664420471871059307212092454804829241838216575569612455737263662910805277122144746589154569959004700988029558469<117>
(53·10154-71)/9 =
5(8)1531<155>
= 3 · 229 · 784913 · 58432003235623530165281017016867956379005573<44> · 1909904305005828208979377889723705736501215261699<49> · 978571848436525753147014195992938337808040799827522913<54> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m snfs / 24.35 hours / Apr 21, 2009)
(53·10155-71)/9 =
5(8)1541<156>
= 2803 · 253507 · 828743827029871116938956541522625692604886267130584263683459966773949322020069414366418630628830790059336445874045059148071620327370358407322921561<147>
(53·10156-71)/9 =
5(8)1551<157>
= 21893 · 414036871 · 5097582013<10> · 458737405579699161469808051148151<33> · 277818197649398752305269669956120329087419350051266481378494174971171347683342879820983467197939102529<102> (Robert Backstrom / GMP-ECM 6.2.1 B1=2072000, sigma=272239408 for P33 / Apr 19, 2009)
(53·10157-71)/9 =
5(8)1561<158>
= 3 · 6610125409<10> · 119064466187<12> · 5521637296501<13> · 84491086696477194314717306030587<32> · 53461540124184596743923706059997123664492579792419166939716147777994870977570398168015036887<92> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3671331176 for P32 / Apr 12, 2009)
(53·10158-71)/9 =
5(8)1571<159>
= 7 · 1032 · 36843969518977<14> · 590800533267749425396799989726967304158855580389298407<54> · 364295308035138105843948238320786618697318570121178416315717666433432812884446432322033<87> (Ignacio Santos / GGNFS, Msieve snfs / 36.12 hours / Apr 17, 2009)
(53·10159-71)/9 =
5(8)1581<160>
= 73 · 5966567237<10> · 4981932222649<13> · 26273193042133<14> · 2062452635612297<16> · 6078143242188653953677512610851837554339876404942979<52> · 8239870283677649983233243756347853355656983261837612011<55> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m gnfs for P52 x P55 / 8.87 hours / Apr 19, 2009)
(53·10160-71)/9 =
5(8)1591<161>
= 33 · 51427 · 554843 · 177844836628177373012417<24> · 2436291729293249338174146577<28> · 176415907300469890403335336000402462853700817492156675694865055254956107096206611579751850489229347<99>
(53·10161-71)/9 =
5(8)1601<162>
= 17 · 109 · 94530201856501<14> · 3361919851243846832858222414340123257026579573306840501250233237011261574638521885448448424857009453375932822321715006879426893388912260958784977<145>
(53·10162-71)/9 =
5(8)1611<163>
= 70679701 · 44026722517<11> · 1236279080219216121922252206884753<34> · 443544821402465146063268358238856200246841<42> · 3451185210796963823875477889316547070862232437023870711320410226459441<70> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=3167953602 for P34 / Apr 19, 2009) (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m gnfs for P42 x P70 / 15.86 hours / Apr 22, 2009)
(53·10163-71)/9 =
5(8)1621<164>
= 3 · 23 · 2389 · 96513550638754153673<20> · 377498624063625239463952264309281335010127635110927025061<57> · 9805380550742964674231939389316251929069674579746840643746394494793350010716857197<82> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 34.87 hours on Core 2 Quad Q6700 / Apr 20, 2009)
(53·10164-71)/9 =
5(8)1631<165>
= 7 · 409 · 6546181 · 87139389079<11> · 228311433299<12> · 394196473114547<15> · 4006536441729777547137177824637505314096461411055752610061051347773975842295115688775884028749697891079548448957996221<118>
(53·10165-71)/9 =
5(8)1641<166>
= 367 · 1942027 · 1371144007102407524796878911<28> · 7456075032830949289097809630839141133<37> · 808199714463033799839895000646180717663570250954579698107795831316200571506223546388577376143<93> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 24.84 hours on Core 2 Quad Q6700 / Apr 24, 2009)
(53·10166-71)/9 =
5(8)1651<167>
= 3 · 19 · 29 · 83 · 240857467 · 11060457607<11> · 20894699998037<14> · 5424508418994216438894842882597473125698917<43> · 1421519024674072529801317548921990745200160059101495179565493543560830040916204609073619<88> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 38.60 hours on Core 2 Quad Q6700 / May 14, 2009)
(53·10167-71)/9 =
5(8)1661<168>
= 73 · 769 · 66501587107<11> · 353614322081<12> · 15289508170453564157615559715265886034189<41> · 29176204089714079058424787149185032695439825811546932354672800303249154820310505588922930701582824751<101> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 61.86 hours, 1.47 hours / Apr 23, 2009)
(53·10168-71)/9 =
5(8)1671<169>
= 593 · 17404799 · 2547335314631<13> · 169017775524223519035278966544358165435527479<45> · 1325229688509753839571072379572594850333978022743803818791211312741515576887190505144667080147934159967<103> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 77.13 hours, 1.64 hours / May 4, 2009)
(53·10169-71)/9 =
5(8)1681<170>
= 32 · 55619 · 268408781245025917238865818507107<33> · 23558974883254664303215516645325268137706557468101857830919331<62> · 18604352743858630351683027420410354047658125089089380509126300180803083<71> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=504785334 for P33 / Apr 19, 2009) (Erik Branger / GGNFS, Msieve snfs / 143.39 hours / Sep 6, 2009)
(53·10170-71)/9 =
5(8)1691<171>
= 7 · 59 · 1427 · 568218567627765334438930578061<30> · 2263601622974746710068103777175357428919279<43> · 129968124481852563001973196053531945137907861<45> · 5977327695821253697952452498480093874447527049209<49> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=113594766 for P30 / Apr 13, 2009) (Jo Yeong Uk / GMP-ECM v6.2.3/YAFU v1.10 B1=11000000, sigma=5649517295 for P43, Msieve 1.38 for P45 x P49 / Sep 23, 2009)
(53·10171-71)/9 =
5(8)1701<172>
= 1129399 · 1012782147434752932667684249508918320121901242771161953907631<61> · 5148372050856343302191719932929532293542830496633217654226873938020652977210113515374231410045450654341849<106> (Ignacio Santos / GGNFS, Msieve snfs / 103.07 hours / Sep 8, 2009)
(53·10172-71)/9 =
5(8)1711<173>
= 3 · 8742213383<10> · 9759491317<10> · 106446437711<12> · [2161386271470675492156440877949538413495663062084439166474138086379560415116826948450950017954783064774656028934988341222203161195843611014487<142>] SUBMIT/RESERVE
(53·10173-71)/9 =
5(8)1721<174>
= 342035173 · 2915131451<10> · 21812315423609<14> · 436720646691181<15> · 62001037182833246163037786829113100089231996298716352216446147904051416691669051500703176080636334803166892019423462844058897243<128>
(53·10174-71)/9 =
5(8)1731<175>
= 227 · 571 · 406327 · 19623288819879302404741<23> · [5698019315275416773313509522415587967632329250592397970293726951485379750185219322177891082023292145777592901705174509810047413637925440080699<142>] SUBMIT/RESERVE
(53·10175-71)/9 =
5(8)1741<176>
= 3 · 73 · 1024183 · 2158548290899707807210634246105330347041<40> · 121632578456805687673146582029186126326283394657268436697370779282164748561294068326344587870149269097387136954490861643986922133<129> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=2926320089 for P40 / Apr 19, 2009)
(53·10176-71)/9 =
5(8)1751<177>
= 7 · 607 · 5851 · 58997 · 60148447 · [6675167748226780463816930277342929832544349696309953678405618338740590728987699756583440792829810248477562866977486071593401847989071674019779600402666693841<157>] SUBMIT/RESERVE
(53·10177-71)/9 =
5(8)1761<178>
= 17 · 84278649583<11> · [4110237058521212525875396664600511199345276079129489262414089361437514561460827452661110914109120134087717993637926614509027081517422802576299074803902802802339660271<166>] SUBMIT/RESERVE
(53·10178-71)/9 =
5(8)1771<179>
= 32 · 21867644976972022514831833<26> · 299218772000076506697481087436767559110832688703189142759325693482885876756254484797364300299536544476034549717653948177700863733750518502210424230441873<153>
(53·10179-71)/9 =
5(8)1781<180>
= 163 · 18628273 · [193942576923635757775188893939691508184284294116938871369194151662427186773886344891596514033103715432884805954723712189454284915334407015466889881369973364999756209972619<171>] SUBMIT/RESERVE
(53·10180-71)/9 =
5(8)1791<181>
= 1489 · 2112271972319<13> · 1274958669323474059<19> · [1468563465042291788467012195371476283489602495967633514610753301003616638153102199021449525287235924430109108898714425085550234315350100279671621149<148>] SUBMIT/RESERVE
(53·10181-71)/9 =
5(8)1801<182>
= 3 · 2879 · 24081340990091404175861057053153272486112035432620191<53> · 283132532303703333726830050085836989037702953632307132314359052811450789821802506909621984361284526068569973287653670838199643<126> (Wataru Sakai / Msieve / 303.42 hours / Jul 12, 2009)
(53·10182-71)/9 =
5(8)1811<183>
= 72 · 91099 · 80463451769347<14> · [1639551304815362885481894488754200138527581448349967725821414913893556807849017894904893495225505116056469038115872625793696833350791697789855885686562592321762673<163>] SUBMIT/RESERVE
(53·10183-71)/9 =
5(8)1821<184>
= 73 · 113 · 5779 · 80273 · 543483353732909<15> · 1633503274622224469<19> · 9329922208436263697241721<25> · 1099460710064905094872964317328985126416851<43> · 168984112509748557056357145099368984533273143568828753891708684224898777<72> (Markus Tervooren / Msieve/ ggnfs/factMsieve.pl for P43 x P72 / 0.54 hours on Q6700, Linux / Apr 20, 2009)
(53·10184-71)/9 =
5(8)1831<185>
= 3 · 19 · 89 · 151 · 706329023 · [108838988955643249955194052421153820763599666877358836042319943064349288341767996211897416246705515082552495664277623194094415764417110144073227848618671602602430478199289<171>] SUBMIT/RESERVE
(53·10185-71)/9 =
5(8)1841<186>
= 23 · 233 · 215325522097885785506678338135721202120862759<45> · 510333519255213660531524689794452061284434462061881762456420580789577174717938354675826912683331869019878654674813170859867374521644491401<138> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 125.56 hours, 3.11 hours / Aug 4, 2009)
(53·10186-71)/9 =
5(8)1851<187>
= 191 · 5259691725677<13> · [5861917505336255858770999556932170269300565919396185542011463947565608022309358986241769344465645555032363069131666634816020765156169240101811716089361987037638183825410283<172>] SUBMIT/RESERVE
(53·10187-71)/9 =
5(8)1861<188>
= 35 · 359 · 3343 · 10417662811<11> · 26149184533<11> · 1437483587553631<16> · [515661752437371771905381689782729489905464032743936806211481679383390422180253441083711728713558810985823815998061619303108142880148062676973947<144>] SUBMIT/RESERVE
(53·10188-71)/9 =
5(8)1871<189>
= 7 · 560081 · 13681129296834545790203<23> · [10978993621490424634350629697424884281858166697298963476910768354373021255698866530489441081824582464147003842256306710929483826442990445380420086276773276605781<161>] SUBMIT/RESERVE
(53·10189-71)/9 =
5(8)1881<190>
= 46036250681<11> · [127918516425129744568150812413656317254097300254660781785329962650719472670969681500090380674519311402237102804103763431952558944944391591012695764951382290195173352868138381942201<180>] SUBMIT/RESERVE
(53·10190-71)/9 =
5(8)1891<191>
= 3 · 61 · 173 · 39203873 · 211360399 · 168914326803248671710673803592753171<36> · [1328975843267167003533199181021679263944069843997313562305346088568990122619806818358213686861743331804899354370025982954624757057766927<136>] (Dmitry Domanov / ECMNET / Aug 20, 2009) SUBMIT/RESERVE
(53·10191-71)/9 =
5(8)1901<192>
= 73 · 617 · 719 · 18184294052990288616003020733756096211672538838401225750424729355346086898260394706022254947775719624480878290149083111353710179771269097424383109232323573551666182089540143254702009839<185>
(53·10192-71)/9 =
5(8)1911<193>
= 103 · 1327 · 5861 · 23459617 · 1163563275202877<16> · 512457225422067115117031521<27> · 525514794935388469823839539467678178571927133459965254039555656752351747617228959860006542279565277370046202999911500048483367847144569<135>
(53·10193-71)/9 =
5(8)1921<194>
= 3 · 17 · 2131 · 122614102349<12> · 157528172059<12> · 386318917324635401637343670457937<33> · 72616464843759242682094782381797010874803934727294295921255817042629723671550851219691527308314086340987245476998440916635306218917703<134> (Dmitry Domanov / ECMNET / Aug 18, 2009)
(53·10194-71)/9 =
5(8)1931<195>
= 7 · 29 · 27253 · 443577473 · 239968105889329839800818782378821416652997643853658460434843829354816357639439040919368081319335268908506284885972015898811031890697058681619463778920060231184494072847674821539783<180>
(53·10195-71)/9 =
5(8)1941<196>
= 1319 · 33857 · 6522546262176896794087564739115713<34> · 20217289175101472176634624589120256959714664779605055451404756357758626997987860981678743694952263411707665143615277807384449498161455207993683372278411239<155> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=3935644505 for P34 / Apr 19, 2009)
(53·10196-71)/9 =
5(8)1951<197>
= 32 · 4973 · 74797 · 122655881 · 112054989341662601618892514165224888241<39> · 1279878186755975199770625717338893764280326490898655144840134732459923961450639607812280526526379705342401644682052605125245400793894469473609<142> (Dmitry Domanov / ECMNET / Aug 20, 2009)
(53·10197-71)/9 =
5(8)1961<198>
= 131 · 1171 · 32333333 · 7097585846683<13> · 16728000787624434672706420429241148648586412843444468242320230169766101707633695373116355888951891699556104579851405367207507208657241805690108163449753967360123971648555279<173>
(53·10198-71)/9 =
5(8)1971<199>
= 47 · 4691 · 1041730059761<13> · 502491685538339197<18> · 924006084409319617<18> · [55221876710222260402588008998816932401255149589748498226860259232933645489095553747239850670626947536473023677064529630211165055231933982906729977<146>] SUBMIT/RESERVE
(53·10199-71)/9 =
5(8)1981<200>
= 3 · 73 · 673 · 266159 · 552983 · [2714696260362570766031337190795123531048862175324846081192150312049088904859352581452966292324796370179861851827146245085427887241614536418759204398902978982143753066120155173012180379<184>] SUBMIT/RESERVE
(53·10200-71)/9 =
5(8)1991<201>
= 7 · 4159 · [20227695149551364987767969253903372681925218592686734066873523473667739116164218352244320025036543430388104588633561944453985810081025276985844429941568676841578981516466488815611200799948094970937<197>] SUBMIT/RESERVE
(53·10201-71)/9 =
5(8)2001<202>
= 845726166293<12> · 26614080411265630091650323405683<32> · [261632763104934685678706508770395191162055898507905747696347081652713863042849725984808309953127668896691497252042853273203709573229850203050723384365743227999<159>] (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=1279820415 for P32 / Apr 19, 2009) SUBMIT/RESERVE
(53·10202-71)/9 =
5(8)2011<203>
= 3 · 19 · 857 · 1259 · 1004317 · 71365367 · 779769064987480193874703347294131196204883<42> · [17132771907515894174556863898939580232543643866401830701290571585218041096109532000936311816177590847856617333605840706370680024403860034243<140>] (Dmitry Domanov / ECMNET / Aug 20, 2009) SUBMIT/RESERVE
(53·10203-71)/9 =
5(8)2021<204>
= 97 · 378031809054421<15> · [16059546651026268964409668584363046059215680836044311617331816381178824260303526325882771570296720082072128691536388982341201675338378757626417872870862967434248703998682944274217935072013<188>] SUBMIT/RESERVE
(53·10204-71)/9 =
5(8)2031<205>
= 1894601 · 13897365986571033101218215063619913<35> · 223657313079454078280340595149145069743916262638623599497122392196510180718091050020838810477552037958778607888933892716339481082931410115624804909510584996502701537<165> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2014047816 for P35 / Apr 15, 2009)
(53·10205-71)/9 =
5(8)2041<206>
= 32 · 1747 · 677639 · 24773841302921<14> · [223103406576893344840832483187747260373739760953197885928929118918649571911005160865635235740940658653077239420787254389564395389022273970774569240498212974399534752796423971622962413<183>] SUBMIT/RESERVE

4. References

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