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Factorizations of 588...887

Table of contents

  1. About 588...887
  2. Prime numbers of the form 588...887
  3. Factorizations of 588...887
  4. References

1. About 588...887

First ten terms

57, 587, 5887, 58887, 588887, 5888887, 58888887, 588888887, 5888888887, 58888888887

General term

(53·10n-17)/9

2. Prime numbers of the form 588...887

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

12.61%

Results

  1. (53·102-17)/9 = 587 is prime.
  2. (53·106-17)/9 = 5888887 is prime.
  3. (53·108-17)/9 = 588888887 is prime.
  4. (53·1020-17)/9 = 5(8)197<21> is prime.
  5. (53·10108-17)/9 = 5(8)1077<109> is prime. (searched by Makoto Kamada / Dec 4, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
  6. (53·10288-17)/9 = 5(8)2877<289> is prime. (searched by Makoto Kamada / Dec 4, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
  7. (53·10306-17)/9 = 5(8)3057<307> is prime. (searched by Makoto Kamada / Dec 4, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
  8. (53·10462-17)/9 = 5(8)4617<463> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)

3. Factorizations of 588...887

Last update

Nov 4, 2009

Completed up to

Range

n≤205

Terms which have not been factored yet

n=173, 174, 175, 181, 182, 183, 185, 186, 188, 189, 190, 192, 193, 196, 199, 204, 205 (17/205)

Results

(53·101-17)/9 =
57
= 3 · 19
(53·102-17)/9 =
587
= definitely prime number
(53·103-17)/9 =
5887
= 7 · 292
(53·104-17)/9 =
58887
= 34 · 727
(53·105-17)/9 =
588887
= 13 · 97 · 467
(53·106-17)/9 =
5888887
= definitely prime number
(53·107-17)/9 =
58888887
= 3 · 43 · 456503
(53·108-17)/9 =
588888887
= definitely prime number
(53·109-17)/9 =
5888888887<10>
= 7 · 71 · 383 · 30937
(53·1010-17)/9 =
58888888887<11>
= 3 · 31 · 633213859
(53·1011-17)/9 =
588888888887<12>
= 13 · 45299145299<11>
(53·1012-17)/9 =
5888888888887<13>
= 93427 · 63031981
(53·1013-17)/9 =
58888888888887<14>
= 32 · 103 · 509 · 10639 · 11731
(53·1014-17)/9 =
588888888888887<15>
= 337 · 1747444774151<13>
(53·1015-17)/9 =
5888888888888887<16>
= 7 · 841269841269841<15>
(53·1016-17)/9 =
58888888888888887<17>
= 3 · 19629629629629629<17>
(53·1017-17)/9 =
588888888888888887<18>
= 13 · 127 · 307 · 1161844245791<13>
(53·1018-17)/9 =
5888888888888888887<19>
= 23 · 149197 · 1716111231077<13>
(53·1019-17)/9 =
58888888888888888887<20>
= 3 · 19 · 4002307 · 258135720613<12>
(53·1020-17)/9 =
588888888888888888887<21>
= definitely prime number
(53·1021-17)/9 =
5888888888888888888887<22>
= 7 · 16963 · 49594402008479707<17>
(53·1022-17)/9 =
58888888888888888888887<23>
= 32 · 293 · 52267 · 427263365463353<15>
(53·1023-17)/9 =
588888888888888888888887<24>
= 13 · 3167 · 14303487622085664397<20>
(53·1024-17)/9 =
5888888888888888888888887<25>
= 379 · 733 · 21197769994596568441<20>
(53·1025-17)/9 =
58888888888888888888888887<26>
= 3 · 31 · 173671 · 3646054085139779429<19>
(53·1026-17)/9 =
588888888888888888888888887<27>
= 1427 · 7210760369<10> · 57230603277149<14>
(53·1027-17)/9 =
5888888888888888888888888887<28>
= 72 · 389 · 6961472753<10> · 44379923690539<14>
(53·1028-17)/9 =
58888888888888888888888888887<29>
= 3 · 43 · 233 · 1959240406191199683564191<25>
(53·1029-17)/9 =
588888888888888888888888888887<30>
= 13 · 2058457 · 3875515243<10> · 5678305562849<13>
(53·1030-17)/9 =
5888888888888888888888888888887<31>
= 249563 · 23596802766791907810408149<26>
(53·1031-17)/9 =
58888888888888888888888888888887<32>
= 33 · 29 · 38767 · 1017683 · 1906324739452318349<19>
(53·1032-17)/9 =
588888888888888888888888888888887<33>
= 109 · 124979 · 10027579 · 4310957334406449523<19>
(53·1033-17)/9 =
5888888888888888888888888888888887<34>
= 7 · 349 · 823 · 142057 · 20618041958583278463019<23>
(53·1034-17)/9 =
58888888888888888888888888888888887<35>
= 3 · 139 · 141220357047695177191580069277911<33>
(53·1035-17)/9 =
588888888888888888888888888888888887<36>
= 13 · 37061 · 1222286103967656003488819656759<31>
(53·1036-17)/9 =
5888888888888888888888888888888888887<37>
= 89 · 577 · 11751868483<11> · 9757995596885474308613<22>
(53·1037-17)/9 =
58888888888888888888888888888888888887<38>
= 3 · 19 · 13063 · 79088907721002387738891403319257<32>
(53·1038-17)/9 =
588888888888888888888888888888888888887<39>
= 14753 · 122609 · 325559720839721350233391273031<30>
(53·1039-17)/9 =
5888888888888888888888888888888888888887<40>
= 7 · 841269841269841269841269841269841269841<39>
(53·1040-17)/9 =
58888888888888888888888888888888888888887<41>
= 32 · 23 · 31 · 47 · 59291383 · 3293152801536072846294234911<28>
(53·1041-17)/9 =
588888888888888888888888888888888888888887<42>
= 13 · 7703 · 5085131 · 1156452940044651049470125160143<31>
(53·1042-17)/9 =
5888888888888888888888888888888888888888887<43>
= 35256649 · 287737661 · 46028613523<11> · 12611528509042121<17>
(53·1043-17)/9 =
58888888888888888888888888888888888888888887<44>
= 3 · 3449 · 5691397399138773450168057300559475102821<40>
(53·1044-17)/9 =
588888888888888888888888888888888888888888887<45>
= 59 · 71 · 42338533 · 1219715899145713<16> · 2722253149376579927<19>
(53·1045-17)/9 =
5888888888888888888888888888888888888888888887<46>
= 7 · 277 · 107719 · 136379 · 327490711 · 631272325063973591808503<24>
(53·1046-17)/9 =
58888888888888888888888888888888888888888888887<47>
= 3 · 3917 · 1802216054793045716183<22> · 2780684267038250506039<22>
(53·1047-17)/9 =
588888888888888888888888888888888888888888888887<48>
= 13 · 103 · 4003 · 520297 · 4188974719<10> · 50409005780532234609476177<26>
(53·1048-17)/9 =
5888888888888888888888888888888888888888888888887<49>
= 2719 · 6803 · 122931318624788881<18> · 2589769676932223517648611<25>
(53·1049-17)/9 =
58888888888888888888888888888888888888888888888887<50>
= 32 · 43 · 2503 · 605947845827751221<18> · 100328957514723000571435727<27>
(53·1050-17)/9 =
588888888888888888888888888888888888888888888888887<51>
= 23143 · 25445659114587084167518856193617460523220364209<47>
(53·1051-17)/9 =
5888888888888888888888888888888888888888888888888887<52>
= 7 · 199435649145895223<18> · 4218252077162084710208927017501367<34>
(53·1052-17)/9 =
58888888888888888888888888888888888888888888888888887<53>
= 3 · 19629629629629629629629629629629629629629629629629629<53>
(53·1053-17)/9 =
588888888888888888888888888888888888888888888888888887<54>
= 13 · 463 · 194105143 · 504048090987529605221367553761826734228011<42>
(53·1054-17)/9 =
5888888888888888888888888888888888888888888888888888887<55>
= 254170673195597<15> · 4717813045743408649<19> · 4910969014644550638779<22>
(53·1055-17)/9 =
58888888888888888888888888888888888888888888888888888887<56>
= 3 · 19 · 31 · 12727243 · 45126380399<11> · 3591820937357<13> · 16155384428045489221489<23>
(53·1056-17)/9 =
588888888888888888888888888888888888888888888888888888887<57>
= 4278142709<10> · 661681855883<12> · 208031387983980354897108558298864721<36>
(53·1057-17)/9 =
5888888888888888888888888888888888888888888888888888888887<58>
= 7 · 1009 · 8059 · 31063 · 20793514619243077<17> · 160173881284443748385550896161<30>
(53·1058-17)/9 =
58888888888888888888888888888888888888888888888888888888887<59>
= 33 · 61 · 563411 · 108727533947233<15> · 113409549620167<15> · 5146657591463402642501<22>
(53·1059-17)/9 =
588888888888888888888888888888888888888888888888888888888887<60>
= 13 · 29 · 127 · 3756984218627<13> · 3273775680645929020865926066743383374022939<43>
(53·1060-17)/9 =
5888888888888888888888888888888888888888888888888888888888887<61>
= 333516871865275600403888401<27> · 17656944477662617717114663367398087<35>
(53·1061-17)/9 =
58888888888888888888888888888888888888888888888888888888888887<62>
= 3 · 601 · 256364188513251737<18> · 1332708387989621483<19> · 95597193745385255884199<23>
(53·1062-17)/9 =
588888888888888888888888888888888888888888888888888888888888887<63>
= 23 · 312931 · 17836591 · 4587172608570630320450906279450661396572821443589<49>
(53·1063-17)/9 =
5888888888888888888888888888888888888888888888888888888888888887<64>
= 7 · 1721 · 105951931 · 629137027 · 401949082575414581897<21> · 18244387426831168963489<23>
(53·1064-17)/9 =
58888888888888888888888888888888888888888888888888888888888888887<65>
= 3 · 23310616894915388183426836801<29> · 842089667472992904940107999571042429<36>
(53·1065-17)/9 =
588888888888888888888888888888888888888888888888888888888888888887<66>
= 132 · 3929 · 55073 · 87121 · 350677 · 550939 · 17645057 · 526724432167<12> · 102940367006050149127<21>
(53·1066-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888887<67>
= 298723 · 351429867403<12> · 301038295112796673<18> · 186339224455743605408595109164151<33>
(53·1067-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888887<68>
= 32 · 61643 · 6203003 · 17112170273552645596492651948345185817996249768676517767<56>
(53·1068-17)/9 =
588888888888888888888888888888888888888888888888888888888888888888887<69>
= 709 · 9338157284748566127695844341<28> · 88945901333552890934394474940236645823<38>
(53·1069-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888888887<70>
= 72 · 397 · 5839 · 36857 · 4218107 · 25954603032649<14> · 6327989563189961<16> · 2030441952789630776351<22>
(53·1070-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888888887<71>
= 3 · 31 · 43 · 193 · 9007 · 155671 · 787529508386013924439<21> · 69098709015031432563722733632750327<35>
(53·1071-17)/9 =
588888888888888888888888888888888888888888888888888888888888888888888887<72>
= 13 · 263 · 4549 · 1459771 · 153902319139<12> · 5277017639345233<16> · 31937423762444404945897718607601<32>
(53·1072-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888887<73>
= 75239 · 38900461 · 1241305969<10> · 778920256859<12> · 45202416341980031<17> · 46036479419783008961153<23>
(53·1073-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888887<74>
= 3 · 19 · 3208628053<10> · 19096540219<11> · 16861043017884455795863834933867868235645688776183913<53>
(53·1074-17)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888887<75>
= 33704617 · 4841082397<10> · 3609121387624193396425967882897537320963801122525739313963<58>
(53·1075-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888887<76>
= 7 · 1597 · 2979579293<10> · 2721061096003<13> · 64973634864714450924385214807605706550334304729507<50>
(53·1076-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888887<77>
= 32 · 156817 · 1278894523<10> · 333220883393<12> · 97910838664040335615074406723802776256655868556861<50>
(53·1077-17)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888887<78>
= 13 · 1749287 · 80234808016298911394233<23> · 322749903747723951972218068507966240914701162269<48>
(53·1078-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888887<79>
= 8620289 · 586262477 · 4369968017<10> · 848781288031<12> · 314156015742660037926313560274280207166077<42>
(53·1079-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888887<80>
= 3 · 71 · 276473656755346896191966614501825769431403234220135628586332811684924360980699<78>
(53·1080-17)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888887<81>
= 89 · 139 · 1103 · 3548854697<10> · 294295682309<12> · 41321961830649091755219119083092262417210066340596463<53>
(53·1081-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888887<82>
= 7 · 103 · 179 · 6569 · 9066336580201597729<19> · 43205827478518692335289611<26> · 17732568149105517031624308863<29>
(53·1082-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888887<83>
= 3 · 5101 · 12085659074046421<17> · 1501771458735488921<19> · 15641603184944201323<20> · 13555056515431478528051903<26>
(53·1083-17)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888887<84>
= 13 · 3497786921<10> · 11289322600037<14> · 1147172625032594050663579281795180019642649202700509794805887<61>
(53·1084-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888887<85>
= 23 · 1382363894231962611642251<25> · 185217979441838288383200523130196899574594160812237427892419<60>
(53·1085-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888887<86>
= 35 · 312 · 733 · 1630463 · 211891884593489<15> · 6393750450300022617730253<25> · 155746670459924494322215327769083<33>
(53·1086-17)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888888887<87>
= 47 · 5003 · 144951872369<12> · 1579346410298804991097<22> · 10939658680165665964634570990488160230427654834899<50>
(53·1087-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<88>
= 7 · 29 · 29009304871373836891078270388615216201423097974822112753147235905856595511767925561029<86>
(53·1088-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<89>
= 3 · 2386938215880269387725110259<28> · 8223769471297562309269103033639328369471574389001634976012431<61>
(53·1089-17)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<90>
= 13 · 291509 · 183109640216894009<18> · 1247095636410819915165479715481<31> · 680498341801401360906204370546775159<36>
(53·1090-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<91>
= 1512281 · 1099329663199<13> · 179793563029426469<18> · 19701476664470790484289965634108005525726201410505318717<56>
(53·1091-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<92>
= 3 · 19 · 43 · 7393 · 108685678027<12> · 557122818768629<15> · 53671789666534575474740629994173257677178393001748465678123<59>
(53·1092-17)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<93>
= 175403 · 3357347872550007063099769609920519540081349172413749416423258945906791154591933369947429<88>
(53·1093-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<94>
= 7 · 21599 · 14861055396942569849802878734994101714519051<44> · 2620909485425604622044469640277052876501228109<46> (Makoto Kamada / GGNFS-0.70.8 / 0.30 hours)
(53·1094-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<95>
= 32 · 1946345514224210618098710648749149<34> · 3361792563922676828419713600595620422650536899824203000242507<61> (Makoto Kamada / GGNFS-0.70.8 / 0.39 hours)
(53·1095-17)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<96>
= 13 · 113 · 1823 · 43731456341113<14> · 5028413171236168014404686900971686607336717201491644650090040469624903115077<76>
(53·1096-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<97>
= 91577 · 93766645568681326607<20> · 3714520039885883622239390018633<31> · 184627276148590541826223257066668315387801<42> (Makoto Kamada / msieve 0.81 / 6.3 minutes)
(53·1097-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<98>
= 3 · 19629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629629<98>
(53·1098-17)/9 =
588888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<99>
= 124897 · 275976937 · 312273047397271<15> · 2039851064823757040957<22> · 26821039276422872303418785431313256762756822787789<50>
(53·1099-17)/9 =
5888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<100>
= 7 · 246423523 · 3413918570062165980157948806169130492632677121777214709495366809076263672446846079989860667<91>
(53·10100-17)/9 =
58888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887<101>
= 3 · 31 · 787 · 299838697 · 755965171879<12> · 1019423856435437292993291774131<31> · 3482021249306189640649870455708261686625412469<46> (Makoto Kamada / msieve 0.83 / 16 minutes)
(53·10101-17)/9 =
5(8)1007<102>
= 13 · 97 · 127 · 24763933 · 171499687 · 40176095040014160505295257<26> · 21550823883637563151932486359360553518087992431421575743<56>
(53·10102-17)/9 =
5(8)1017<103>
= 59 · 1399 · 3536462375192796870546965456753026665578804701991<49> · 20174119642955981100844036468742758967519435241877<50> (Serge Batalov / Msieve 1.40 snfs / 0.42 hours / Apr 23, 2009)
(53·10103-17)/9 =
5(8)1027<104>
= 32 · 1171 · 30893 · 4466077572007<13> · 6462581981304974023<19> · 8743934694908831400816001705847<31> · 716695435163738820469104575356543<33> (Makoto Kamada / Msieve 1.41 for P31 x P33 / Apr 22, 2009)
(53·10104-17)/9 =
5(8)1037<105>
= 409 · 34159 · 66094496635789648498726769864747288141<38> · 637734048402595454621522275124133541105908678950119792488997<60> (Serge Batalov / Msieve-1.41 snfs / 0.42 hours / Apr 23, 2009)
(53·10105-17)/9 =
5(8)1047<106>
= 7 · 401 · 743 · 28409 · 99390800165254992852429396874865831989657605633552718428440929750393186236573359466418137388943<95>
(53·10106-17)/9 =
5(8)1057<107>
= 3 · 23 · 18143 · 3532267177<10> · 6933682933<10> · 28415700292687399953919757657<29> · 67592620116303941843938002951289944297791127310793953<53>
(53·10107-17)/9 =
5(8)1067<108>
= 13 · 809 · 216523 · 16836991 · 149006699 · 54965850809761462131429144756747005686793<41> · 1875314977717615885449243117829391379630661<43> (Makoto Kamada / Msieve 1.41 for P41 x P43 / Apr 22, 2009)
(53·10108-17)/9 =
5(8)1077<109>
= definitely prime number
(53·10109-17)/9 =
5(8)1087<110>
= 3 · 19 · 479 · 34483 · 62171 · 1184825813345484206359746383415693747268967<43> · 849132744499225818718955971430604327755370155419332359<54> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m snfs / 0.60 hours / Apr 23, 2009)
(53·10110-17)/9 =
5(8)1097<111>
= 223 · 92737 · 52950861499<11> · 6128057397204256771<19> · 15166134528194679344465586729248231<35> · 5786349952803440757210128094028304711263<40> (Makoto Kamada / Msieve 1.41 for P35 x P40 / Apr 22, 2009)
(53·10111-17)/9 =
5(8)1107<112>
= 72 · 131 · 2713 · 19531 · 2583127051493<13> · 8755734792007348811910579911803179991376407<43> · 765514364941998640034028307700209638579220741<45> (Makoto Kamada / Msieve 1.41 for P43 x P45 / Apr 22, 2009)
(53·10112-17)/9 =
5(8)1117<113>
= 33 · 43 · 167 · 24499 · 75594621766333<14> · 164000591028934495951201677238417379233388829124195797814266450617185861097059203686675503<90>
(53·10113-17)/9 =
5(8)1127<114>
= 13 · 2963 · 255383398285427<15> · 5067488575798423942258912441786211<34> · 11813345789802296777872794313744435491728937700087705183033609<62> (Sinkiti Sibata / Msieve 1.41 for P34 x P62 / 4.45 hours / Apr 24, 2009)
(53·10114-17)/9 =
5(8)1137<115>
= 71 · 181 · 277 · 10789 · 18899 · 68813 · 167266927763015205609857861924093563<36> · 704881442955466017239089882681824408103143399235767556204409<60> (Sinkiti Sibata / Msieve 1.41 for P36 x P60 / 4.78 hours / Apr 24, 2009)
(53·10115-17)/9 =
5(8)1147<116>
= 3 · 29 · 31 · 103 · 2917 · 3311445027397393<16> · 4036825786543198631<19> · 2491992796315146718640946650893<31> · 2181596459551055810670889966030088735062559<43> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=1953376555 for P31 / Apr 17, 2009)
(53·10116-17)/9 =
5(8)1157<117>
= 4168097 · 7570877 · 45870217634039<14> · 406835228090929953750974186751500012726202777474564894241256228312978709437830190478965557<90>
(53·10117-17)/9 =
5(8)1167<118>
= 7 · 965113 · 84444727 · 7715998587481074437947<22> · 477343441150451046075186288656009<33> · 2802602593051054672064091263527315061233413440117<49> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2946943680 for P33 / Apr 17, 2009)
(53·10118-17)/9 =
5(8)1177<119>
= 3 · 61 · 149 · 83101 · 336986939 · 12352955807<11> · 409296899512265966507<21> · 15253423940415706277825257496619363154302713905986157800888521428981351<71>
(53·10119-17)/9 =
5(8)1187<120>
= 13 · 23341161161<11> · 1312337778471015259<19> · 1629713381621447440169<22> · 907424890953748207748566114034313452778286423121750132310946637689529<69>
(53·10120-17)/9 =
5(8)1197<121>
= 1259 · 16249 · 10101284251292332724978899670311<32> · 8356658216818754447156086913396327<34> · 3410136466536908327829499809355794661728096047581<49> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2494998264 for P34 / Apr 17, 2009) (Makoto Kamada / Msieve 1.41 for P32 x P49 / Apr 22, 2009)
(53·10121-17)/9 =
5(8)1207<122>
= 32 · 21211 · 620505581 · 136569534114199<15> · 3631090387354731446722862437746442697<37> · 1002520188473252584276320790788755291702994964270538468591<58> (Sinkiti Sibata / Msieve 1.41 for P37 x P58 / 3.14 hours / Apr 24, 2009)
(53·10122-17)/9 =
5(8)1217<123>
= 225297977839295385254567<24> · 4190445723301115569010437<25> · 16984709386508543822337293851307<32> · 36724655136668618071565185623300987513106679<44> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=1340889881 for P32 / Apr 17, 2009)
(53·10123-17)/9 =
5(8)1227<124>
= 7 · 18593 · 2783818463<10> · 106479459891290610697<21> · 6581223412854716967647<22> · 19985855702708226738499951666901<32> · 1160512222765146604364290946262957061<37> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3685192417 for P32 / Apr 17, 2009)
(53·10124-17)/9 =
5(8)1237<125>
= 3 · 89 · 1191809 · 4836787 · 162409129263521507054727247357759<33> · 235585218437968568279588300257584868514845787402833345248144612223210092321113<78> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=1932810670 for P33 / Apr 23, 2009)
(53·10125-17)/9 =
5(8)1247<126>
= 13 · 339749 · 35535200978096463458378999<26> · 333310210633105268385300246208958849<36> · 11257045633707776513130579531935967239498275141186226824801<59> (Sinkiti Sibata / Msieve 1.41 for P36 x P59 / 2.87 hours / Apr 25, 2009)
(53·10126-17)/9 =
5(8)1257<127>
= 139 · 2152525333033<13> · 4186857306152507699817842593643290853547861453707<49> · 4700912079944416830169055586945991616973525269591821004558075543<64> (Erik Branger / GGNFS, Msieve snfs / 3.85 hours / Apr 24, 2009)
(53·10127-17)/9 =
5(8)1267<128>
= 3 · 19 · 283 · 3650665729892064279269040288195951205064093291729520109657732867701251558420983751093477706830877744026339897643598592082877<124>
(53·10128-17)/9 =
5(8)1277<129>
= 23 · 63691 · 4788800872882184084781263<25> · 112604159725354687671910018636786167653258924591<48> · 745497589659523189147719856571126344213064487387523<51> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m snfs / 2.60 hours / Apr 24, 2009)
(53·10129-17)/9 =
5(8)1287<130>
= 7 · 4623547 · 5222837 · 57168349928028616133688579199585387<35> · 609393635442267750361101031452473824611828346367866478338485749744303280641982437<81> (Ignacio Santos / GGNFS, Msieve snfs / 2.82 hours / Apr 23, 2009)
(53·10130-17)/9 =
5(8)1297<131>
= 32 · 31 · 1787 · 689561 · 1251681026599<13> · 2684522574849883505513247949489097<34> · 50976637352551995002585907351700594122427409787504925659946717615102657493<74> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=2846608915 for P34 / Apr 23, 2009)
(53·10131-17)/9 =
5(8)1307<132>
= 13 · 45299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299145299<131>
(53·10132-17)/9 =
5(8)1317<133>
= 47 · 25621148611<11> · 53530073923<11> · 91356418131375695702199237835810026354904070931714890645227763437594213869378593593864986249398654898372303857<110>
(53·10133-17)/9 =
5(8)1327<134>
= 3 · 43 · 834366751 · 547125127044461442436428657515671486202678822352803272897347596316794045694840405104369389013012755497816399089726722043753<123>
(53·10134-17)/9 =
5(8)1337<135>
= 2083 · 4003 · 1815323 · 11279393 · 3125020680203252737013<22> · 1103737925334492408259465420692886525923590559989403063491897779087869059323462572871997254009<94>
(53·10135-17)/9 =
5(8)1347<136>
= 7 · 6798038297<10> · 35525014823<11> · 133388802981350017<18> · 271877746762052309<18> · 2579403871896835717<19> · 5587149414441246292337<22> · 6665224395106402376292000433131281106103<40>
(53·10136-17)/9 =
5(8)1357<137>
= 3 · 155203 · 11589514897<11> · 10913064842667680427986630588123419534061445972300196214009217576496358506497440099082418725928143968608150518763704075919<122>
(53·10137-17)/9 =
5(8)1367<138>
= 13 · 257 · 1187573234723866457<19> · 5584838927938453061724271226184215519985376889149<49> · 26575768460269751918333188566808886042747046132589556424376472164199<68> (Erik Branger / GGNFS, Msive snfs / 7.27 hours / Apr 24, 2009)
(53·10138-17)/9 =
5(8)1377<139>
= 14212328108433255333011168440885868143857201519173<50> · 414350755482105931010853345568490156490520800534066379136735288507168858874680066897030219<90> (Serge Batalov / Msieve-1.41 snfs / 6.39 hours on Phenom II X4 940/openSUSE/x86_64 / Apr 23, 2009)
(53·10139-17)/9 =
5(8)1387<140>
= 33 · 1489 · 164695220489<12> · 8893933999035223786355388188562713881291371748987666619506709032100171093798729807492351133148454052915319830850176575000861<124>
(53·10140-17)/9 =
5(8)1397<141>
= 109 · 12128621 · 445446383127875555330620260443707271358867703587498452822882949430028412299152141363371849818863695371853791573060973442800887732383<132>
(53·10141-17)/9 =
5(8)1407<142>
= 7 · 659 · 843487275251<12> · 5066560825448363<16> · 298715741579861507432648719249087149713728855384723115024616965504209699256828350557344671758327645838424007323<111>
(53·10142-17)/9 =
5(8)1417<143>
= 3 · 1729519523757816004441<22> · 91707828018412666673471<23> · 123759979470018039760669869610685327617206553488800637430799280189947434701368464745145860824426939<99>
(53·10143-17)/9 =
5(8)1427<144>
= 132 · 29 · 127 · 268114348509373801<18> · 3197499649810280310555966924736478732434405762799143<52> · 1103606817437336719982382319701730917790387846170402709338588861412267<70> (Ignacio Santos / GGNFS, Msieve snfs / 9.26 hours / Apr 24, 2009)
(53·10144-17)/9 =
5(8)1437<145>
= 17519 · 106957 · 6636577684770897967<19> · 493043766422451686167629421455051011<36> · 960473041699645228846742337228722619911387336255548265515490052356974875912822097<81> (Robert Backstrom / GMP-ECM 6.2.1 B1=2400000, sigma=4105013632 for P36 / Apr 24, 2009)
(53·10145-17)/9 =
5(8)1447<146>
= 3 · 19 · 31 · 5059 · 1763109877<10> · 5071686279865633<16> · 736716457044720848560813663401441576107430100795908899116934044720429424206390182047911681808718788066258905520719<114>
(53·10146-17)/9 =
5(8)1457<147>
= 733 · 229847 · 5074470427057<13> · 21866852751576919851059<23> · 31500216560482437631527684243702755954421671696611997703890322248458945221683653932760489176800126358599<104>
(53·10147-17)/9 =
5(8)1467<148>
= 7 · 157090823 · 108192642452257497081257210337049<33> · 2579775523673369950784734958514551180203035362426083<52> · 19186902085390185374523921439602412837798066940823099701<56> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3838654655 for P33 / Apr 17, 2009) (Ignacio Santos / GGNFS, Msieve snfs / 12.45 hours / Apr 24, 2009)
(53·10148-17)/9 =
5(8)1477<149>
= 32 · 1669 · 27337 · 218487524683<12> · 66654703895377530032933214908629<32> · 1293513234549944335404040049217391458765838967629<49> · 7612991358325177921065847363673485843300748322977<49> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2016695560 for P32 / Apr 17, 2009) (Serge Batalov / Msieve 1.40 gnfs for P49 x P49 / 2.08 hours / Apr 23, 2009)
(53·10149-17)/9 =
5(8)1487<150>
= 13 · 71 · 103 · 349 · 45001306334623<14> · 131330752110030357457784241422186029366093966226597288556911<60> · 3003152975980207409359615676165557286711523353567898461432663515019759<70> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 14.25 hours, 0.51 hours / Apr 25, 2009)
(53·10150-17)/9 =
5(8)1497<151>
= 23 · 853 · 1003753 · 816312569 · 3680454677<10> · 646588374346983737232638435333887307048501<42> · 153937272537308898972231509958686605521190984086624596387981731443058693734868357<81> (Ignacio Santos / GGNFS, Msieve snfs / 13.05 hours / Apr 26, 2009)
(53·10151-17)/9 =
5(8)1507<152>
= 3 · 599 · 1915212950060694005807<22> · 17110717197416469271058188151637386259493535010058247913757656686521537907190293092868175071450782284474146311050769768860423653<128>
(53·10152-17)/9 =
5(8)1517<153>
= 8933 · 192767 · 730973 · 467845010248533101139605991649341933560165370510258412358204349496610499317391285684563967980734537208233721351353973979678433856275183129<138>
(53·10153-17)/9 =
5(8)1527<154>
= 73 · 523 · 23831 · 229108109084325281<18> · 1259429971180200006189700716076596071<37> · 4773982244934065198215618554300837516932709210804279640544817629668719303310081359797913443<91> (Ignacio Santos / GGNFS, Msieve snfs / 22.23 hours / Apr 27, 2009)
(53·10154-17)/9 =
5(8)1537<155>
= 3 · 43 · 1279 · 1777761606141414820261<22> · 64507704473656311690916427<26> · 3112346885119127539867863890776877572071646126621219433099593529685026093247052146168148131371304980831<103>
(53·10155-17)/9 =
5(8)1547<156>
= 13 · 12659042761<11> · 4922032361863921654624733150235114276655806509234915061421645406483<67> · 727017184113077927619676603072589808158867829035481257917742796614728442684473<78> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m snfs / 19.09 hours / Apr 27, 2009)
(53·10156-17)/9 =
5(8)1557<157>
= 9811 · 181787 · 3301849407412785102541007593921396240165502203716500104147525849545585090357407557131741589645205835492550185983324525528555921154450966517180985591<148>
(53·10157-17)/9 =
5(8)1567<158>
= 32 · 1357023167<10> · 10832151056429599303554007957<29> · 445132066359079344849243395686655796071255972351114506176681171590400337274730612509773321428590207640201938801078983997<120>
(53·10158-17)/9 =
5(8)1577<159>
= 47228255567<11> · 1468405603588693321612517<25> · 8491519716557003553702460810485243945808873760331437179519044475135095958874985950074792966457933134636512784158084206029733<124>
(53·10159-17)/9 =
5(8)1587<160>
= 7 · 205949 · 61840298216763925720027163<26> · 84784784537443137996637339<26> · 779087320806028230867940848975906457775759202521715983790721745299690827439020132070154741255126406637<102>
(53·10160-17)/9 =
5(8)1597<161>
= 3 · 31 · 59 · 5281 · 276411390209<12> · 2725533362361238520589464459<28> · 2697582867869867317434753679114381079941483593796804601807221419107311236612389361642783515647169811624733928259691<115>
(53·10161-17)/9 =
5(8)1607<162>
= 13 · 301013 · 40079032860800981034271182219977895493<38> · 3845042550038572909061181163224247339297802581922082119<55> · 976531759921969567716202456727446938275394815869598707738421069<63> (Robert Backstrom / GMP-ECM 6.2.1 B1=1398000, sigma=2643783734 for P38, GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 gnfs for P55 x P63 / 27.34 hours, 0.93 hours / Apr 27, 2009)
(53·10162-17)/9 =
5(8)1617<163>
= 1132321 · 10850869 · 479291004390187057703547986977273146046869555834549502909781789303129922586290154726752577183106154921552814526754639829561561954819083742083618943963<150>
(53·10163-17)/9 =
5(8)1627<164>
= 3 · 19 · 34765350967304163312833<23> · 62622882318570911412650973707031773485945464667516361<53> · 474546564403968967469298671548430514892021736391287023805749850667560421046179684788407<87> (Ignacio Santos / GGNFS, Msieve snfs / 50.02 hours / Apr 30, 2009)
(53·10164-17)/9 =
5(8)1637<165>
= 800977 · 26420433379971578160086373777968563<35> · 1931614398915714664197849198169905631094719<43> · 14406316220093108541547534674609427084176701563508733048745187396069463990428743523<83> (Ignacio Santos / GGNFS, Msieve snfs / 44.59 hours / Apr 24, 2009)
(53·10165-17)/9 =
5(8)1647<166>
= 7 · 639157301 · 683426917 · 6327944358701217101<19> · 105286041996195116463905211753052493939462823619<48> · 2890693427093959193600294796557751916681459460044103037225919482688402201684641967<82> (Markus Tervooren / msieve 1.41, ggnfs snfs / 23.99 hours on Q6700, 3 cores / May 13, 2009)
(53·10166-17)/9 =
5(8)1657<167>
= 34 · 3954148772442077441638337<25> · 183863420790539324156427175402083398473082652753881858044140580206224958264668116377070401444635700963839166010871154645256876852608185302471<141>
(53·10167-17)/9 =
5(8)1667<168>
= 13 · 15329 · 1722895695524797<16> · 235635565408170581<18> · 254282302852547381807727061<27> · 28625970603377619453413950832762662925656978261218661448844732393217633733838422172784777997997059070503<104>
(53·10168-17)/9 =
5(8)1677<169>
= 89 · 229 · 293 · 397 · 1573771 · 16943449 · 550775909 · 169134206449922455982805001217599338259669270423140726511543267271018623715054086066493662431241858188632510298614404125521784844611230717<138>
(53·10169-17)/9 =
5(8)1687<170>
= 3 · 10289 · 10349469969241347631837446124602660629190655792332907<53> · 184340529031864544303987400282044404412493423618646133662587944074027945204887635621848468895056963952913120131623<114> (Ignacio Santos / GGNFS, Msieve snfs / 72.50 hours / Apr 27, 2009)
(53·10170-17)/9 =
5(8)1697<171>
= 307 · 122533 · 5167733 · 294126417229<12> · 193846180805187407600600338763753217911145985598911<51> · 53131315566490633270278975197275951466009849466986055887204243258100677263931552140266771322951<95> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 40.30 hours on Core 2 Quad Q6700 / Oct 7, 2009)
(53·10171-17)/9 =
5(8)1707<172>
= 7 · 29 · 38833 · 126522367 · 1192699099275395735131<22> · 4950375926068721969341755509113271436931472853087501813844515812742634550188811414632998506366458231636918195347526840663759222061264369<136>
(53·10172-17)/9 =
5(8)1717<173>
= 3 · 23 · 139 · 1447 · 3673 · 29181318710990417<17> · 208315392186507557875574457526219127<36> · 190043812887773452615147548555234527720338584588002284271867096892313001181562043797469305967347210061472949433<111> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=2640349756 for P36 / Sep 17, 2009)
(53·10173-17)/9 =
5(8)1727<174>
= 13 · 367 · 4049 · 4729 · 108131 · 58057151407<11> · [1026835583763134757111827743505291707298409787469351610735503794427710637760652455066965204525218862138477944518935430298676319066586637571255996521<148>] SUBMIT/RESERVE
(53·10174-17)/9 =
5(8)1737<175>
= 3862847 · 5248683299<10> · 6223518483857<13> · [46670182687182823858190388202052272707202530760852156637261367736981057260922608933352482598528167825942744674211516865779491264626564234965111347<146>] SUBMIT/RESERVE
(53·10175-17)/9 =
5(8)1747<176>
= 32 · 31 · 43 · 51380616823<11> · 2656107188997663597700949<25> · [35967958656839156237330500958996754719162798090734526819434877925473723695693355563282668574608562314599573889247247308783951533014626273<137>] SUBMIT/RESERVE
(53·10176-17)/9 =
5(8)1757<177>
= 11332631 · 17300832061169<14> · 32005507000541<14> · 5972341085588203<16> · 232471871494407295759<21> · 67592093188086367831104756427666307779759381350711031886939894485737802563056125533110384213803194925356769<107>
(53·10177-17)/9 =
5(8)1767<178>
= 7 · 1697 · 12289 · 40340096576581164773996485124761784213518048717500076355049779644924475762120688741326185652770796562526599013325840183228250312116845433766589091214795495511255081414577<170>
(53·10178-17)/9 =
5(8)1777<179>
= 3 · 47 · 61 · 24239 · 156799 · 164278643 · 3412456797433<13> · 124806913675133<15> · 25747763590240167800753370740453234442263680528279279208892143631544676284093315833029469432432837022223822007443533978498397498321<131>
(53·10179-17)/9 =
5(8)1787<180>
= 13 · 8609 · 2466439 · 1905016558247958781387<22> · 8442905563306619451552613<25> · 1267882575806183686123062369811279771630970712791<49> · 104615780893553633888163173944050869226186736163185458497293997297646226469<75> (Erik Branger / GGNFS, Msieve gnfs for P49 x P75 / 103.57 hours / May 18, 2009)
(53·10180-17)/9 =
5(8)1797<181>
= 1223 · 82163 · 516599 · 113442830441882448883693651685046973059949325616425313567005405940105208000383263677809194201100847851300353738681012925367265115698748885987304581315261145020023941037<168>
(53·10181-17)/9 =
5(8)1807<182>
= 3 · 19 · 3613963 · 4203768731782750283<19> · [68004239319809262400755090107058344927457150257816080623665074773991792976221163997527382058345364709499960210064787032395035945646560173745955272347704679<155>] SUBMIT/RESERVE
(53·10182-17)/9 =
5(8)1817<183>
= 703013 · 1674901 · 10092643901184679984970792233<29> · [49553680000507839272627002021268357188378182624352354120166096133664518584854509450660762624689694718276183500266134879297234228851689060366503<143>] SUBMIT/RESERVE
(53·10183-17)/9 =
5(8)1827<184>
= 7 · 103 · 277 · 5581 · [5283312555326070289198410239728499906285947643050635058291130838228629695294858071590121818546768932374454889404835461680956289118363269628467381944707170867965134371360963031<175>] SUBMIT/RESERVE
(53·10184-17)/9 =
5(8)1837<185>
= 32 · 71 · 313 · 32869 · 416018494850953<15> · 386452122941214625545565181<27> · 7013902290249520574271123580879<31> · 7943897389329627030242167466898885042517948786109263956506055607589147818588567456515884385558838367287<103> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3551313151 for P31 / Apr 21, 2009)
(53·10185-17)/9 =
5(8)1847<186>
= 13 · 127 · 2753 · 39343 · 42163427419<11> · [78104614946743819982135739825376667292712279424249001354298386590464329920461654148267774380504576199840818252584427385766767113632352134920898387704255084069128537<164>] SUBMIT/RESERVE
(53·10186-17)/9 =
5(8)1857<187>
= 96741663167<11> · [60872313914256492212750722399298823798449539931392493432186941894038658324329538853656628792170255338658549288458181225563308997694367588801212788321473791898768224004941857161<176>] SUBMIT/RESERVE
(53·10187-17)/9 =
5(8)1867<188>
= 3 · 2205001459<10> · 250967545528893431088509051<27> · 35471998793362982656954234307153375801889097824048962199302606590854342883651803929472804561740238767429489591413581432468072616655251416907766639843581<152>
(53·10188-17)/9 =
5(8)1877<189>
= 127650641930351244541<21> · [4613285761697920021176813737237395878310805179086625203220552142977732178880098084411546358317594839165736765342580293719164609655526671057039072542956237486384198103107<169>] SUBMIT/RESERVE
(53·10189-17)/9 =
5(8)1887<190>
= 7 · 1526099777090137<16> · [551254809088510085742879187689728211329448880120790906932831634436204117739081296457848639750144422194409705400233692357180919444738654682242877835225917204499736547833758393<174>] SUBMIT/RESERVE
(53·10190-17)/9 =
5(8)1897<191>
= 3 · 31 · 354503618435766275782577792533777<33> · [1786198577645956581534642932875238249499411582229915062789524715970362659312803634029676192317067553284006382625993349402746977314002119663389584044457220467<157>] (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2523943465 for P33 / Apr 21, 2009) SUBMIT/RESERVE
(53·10191-17)/9 =
5(8)1907<192>
= 13 · 30955878554994429517866299495278628197<38> · 3077325253235247465155976615079042868201<40> · 260830264234883533140803293326399923032711<42> · 1823120991418613541878724349970952485904020949548098505262099347038089097<73> (matsui / Jun 25, 2009) (Wataru Sakai / Msieve / 627.02 hours / Jun 28, 2009)
(53·10192-17)/9 =
5(8)1917<193>
= 141234937 · [41695695229353123079517420600321355960875947350681997959817045048059807531113133069113691670276235467778690543749022162192693787153308171114126590992771773522927184007515710428566898351<185>] SUBMIT/RESERVE
(53·10193-17)/9 =
5(8)1927<194>
= 33 · 7018213 · 17851313 · 679746483103291781<18> · 20572446508725500234225553940201<32> · [1244915789843555096011732458304270596627375015872090006518666492540398283834017403659916118975910672983647063299114503997601252229<130>] (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=376038659 for P32 / Apr 23, 2009) SUBMIT/RESERVE
(53·10194-17)/9 =
5(8)1937<195>
= 23 · 555077 · 134514314031572721831450957479<30> · 342912874251610907043602298799969466645430501498275881031274035797926711828789670062195669769785861831185012255968936890705020490574532188110164468914363418443<159> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2657731863 for P30 / Apr 21, 2009)
(53·10195-17)/9 =
5(8)1947<196>
= 72 · 120181405895691609977324263038548752834467120181405895691609977324263038548752834467120181405895691609977324263038548752834467120181405895691609977324263038548752834467120181405895691609977324263<195>
(53·10196-17)/9 =
5(8)1957<197>
= 3 · 43 · 2377 · 222170119739<12> · 16745362861016875387559<23> · [51621932212958790417437446075367928305605402381072790095273839006372238047114401962048445841688006887008716316659592778077884680706883109380079707744740362539<158>] SUBMIT/RESERVE
(53·10197-17)/9 =
5(8)1967<198>
= 13 · 97 · 1381 · 8093 · 199895588321879<15> · 124131209152910945615138358610613<33> · 1683956464285538192987701175282364657277752256350514234040551728309986650671586386857006585378655255901615254486990382871923560979892400767137<142> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=3750431010 for P33 / Apr 23, 2009)
(53·10198-17)/9 =
5(8)1977<199>
= 3105261215890219980188797697842256974579853865273347<52> · 1896423031580824744009636372699045793880183375458593621015135886801884722666025272281158636589101925037831403331081551847068185738937524060810693821<148> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 495.00 hours on Core 2 Quad Q6700 / May 16, 2009)
(53·10199-17)/9 =
5(8)1987<200>
= 3 · 19 · 29 · 2087 · [17070178305098131140775216059340320060689959214834925417331236084785192258036422542825937098840744866570629199364512690373150554882249749012015118767053873064028402973058201996830808670065951117<194>] SUBMIT/RESERVE
(53·10200-17)/9 =
5(8)1997<201>
= 499 · 5347 · 220710314921553932210367579703596041489708007332746243895641999873653755571321767862970710033828228324570925613669414343513617430817831244643350245989974671200972691179587110967357902222582021679<195>
(53·10201-17)/9 =
5(8)2007<202>
= 7 · 941 · 5749 · 33767 · 276508825669<12> · 296805472688401<15> · 7137096825470911352763152350693<31> · 7862459463037571684520567683265681573742169480804138362430647497393328622184882892466314752452755748772299349279963553756975752154591<133> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=1668989920 for P31 / Apr 23, 2009)
(53·10202-17)/9 =
5(8)2017<203>
= 32 · 24151317207575244581<20> · 270925590530146416404381178784706278765448514445769883203446615757806285613320444609255760058521135970043960931959859446573176619991341976687903671249326555544076496723135894002438803<183>
(53·10203-17)/9 =
5(8)2027<204>
= 13 · 987350730914620921690289987203621855954963<42> · 92566848900864095239779213632802017565483126475597474270379<59> · 495636265293798401196317143432651643488247579932991797044874163185512392872923768166698869239772113987<102> (Robert Backstrom / GGNFS-0.77.1-20050930-k8, Msieve 1.39 snfs / 99.56 hours, 19.5 hours / Jun 2, 2009)
(53·10204-17)/9 =
5(8)2037<205>
= 172243 · 894167 · 14517015994628911651<20> · 76587667998577280152189<23> · [34390377252409109365704361884036807598987027944556374397096005970806894144113954110842875832654206325371532671023822801282127999447922111098088791386493<152>] SUBMIT/RESERVE
(53·10205-17)/9 =
5(8)2047<206>
= 3 · 31 · 886452130863661<15> · [714323804945199941604384992052135367127248063947601624989339318496466622691353174410877140842722434073167755916828676431460593753154637658516959630429470954604929424116975056124034401346319<189>] SUBMIT/RESERVE

4. References