Factorizations of 655...553

Table of contents

1. About 655...553
   • First ten terms
   • General term
2. Prime numbers of the form 655...553
   • Last update
   • Searched up to
   • Difficulty of search
   • Results
3. Factorizations of 655...553
   • Last update
   • Completed up to
   • Range
   • Terms which have not been factored yet
   • Results
4. References

1. About 655...553

First ten terms

63, 653, 6553, 65553, 655553, 6555553, 65555553, 655555553, 6555555553, 65555555553

General term

(59·10ⁿ-23)/9

2. Prime numbers of the form 655...553

Last update

Sep 19, 2010

Searched up to

n≤30000

Difficulty of search

24.64%

Results

1. (59·10²-23)/9 = 653 is prime.
2. (59·10³-23)/9 = 6553 is prime.
3. (59·10⁹-23)/9 = 6555555553_<10> is prime.
4. (59·10¹¹-23)/9 = 6(5)₁₀3_<12> is prime.
5. (59·10¹²-23)/9 = 6(5)₁₁3_<13> is prime.
6. (59·10¹⁵-23)/9 = 6(5)₁₄3_<16> is prime.
7. (59·10³⁶-23)/9 = 6(5)₃₅3_<37> is prime.
8. (59·10³⁸-23)/9 = 6(5)₃₇3_<39> is prime.
9. (59·10⁴¹-23)/9 = 6(5)₄₀3_<42> is prime.
10. (59·10⁷⁷-23)/9 = 6(5)₇₆3_<78> is prime.
11. (59·10⁹⁰-23)/9 = 6(5)₈₉3_<91> is prime.
12. (59·10⁹⁶-23)/9 = 6(5)₉₅3_<97> is prime.
13. (59·10¹³²-23)/9 = 6(5)₁₃₁3_<133> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
14. (59·10³⁷⁴-23)/9 = 6(5)₃₇₃3_<375> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
15. (59·10³⁹⁹-23)/9 = 6(5)₃₉₈3_<400> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 5, 2005)
16. (59·10⁶¹⁷-23)/9 = 6(5)₆₁₆3_<618> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 31, 2006)
17. (59·10¹³³²-23)/9 = 6(5)₁₃₃₁3_<1333> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 10, 2006)
18. (59·10¹³⁹⁵-23)/9 = 6(5)₁₃₉₄3_<1396> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 7, 2006)
19. (59·10¹⁸¹¹-23)/9 = 6(5)₁₈₁₀3_<1812> is prime. (searched by Makoto Kamada / PFGW / Dec 23, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 26, 2006)
20. (59·10²⁸⁰⁴-23)/9 = 6(5)₂₈₀₃3_<2805> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
21. (59·10⁴⁹⁵³-23)/9 = 6(5)₄₉₅₂3_<4954> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
22. (59·10⁵³¹⁰-23)/9 = 6(5)₅₃₀₉3_<5311> is PRP. (Makoto Kamada / PFGW / Dec 23, 2004)
23. (59·10¹⁶⁶⁷⁶-23)/9 = 6(5)₁₆₆₇₅3_<16677> is PRP. (Ray Chandler / srsieve, PFGW / Sep 10, 2010)
24. (59·10²⁹³³⁶-23)/9 = 6(5)₂₉₃₃₅3_<29337> is PRP. (Ray Chandler / srsieve, PFGW / Sep 18, 2010)

3. Factorizations of 655...553

Last update

Dec 11, 2011

Completed up to

• n≤100 / Jan 5, 2005
• n≤150 / Sep 7, 2009

Range

n≤205

Terms which have not been factored yet

n=181, 189, 191, 192, 193, 194, 201, 205 (8/205)

Results

(59·10¹-23)/9 =

63

= 3² · 7

(59·10²-23)/9 =

653

= definitely prime number

(59·10³-23)/9 =

6553

= definitely prime number

(59·10⁴-23)/9 =

65553

= 3 · 21851

(59·10⁵-23)/9 =

655553

= 269 · 2437

(59·10⁶-23)/9 =

6555553

= 149 · 43997

(59·10⁷-23)/9 =

65555553

= 3 · 7 · 17 · 47 · 3907

(59·10⁸-23)/9 =

655555553

= 139 · 223 · 21149

(59·10⁹-23)/9 =

6555555553_<10>

= definitely prime number

(59·10¹⁰-23)/9 =

65555555553_<11>

= 3³ · 1619 · 1499681

(59·10¹¹-23)/9 =

655555555553_<12>

= definitely prime number

(59·10¹²-23)/9 =

6555555555553_<13>

= definitely prime number

(59·10¹³-23)/9 =

65555555555553_<14>

= 3 · 7 · 2213 · 1410615961_<10>

(59·10¹⁴-23)/9 =

655555555555553_<15>

= 97 · 6829 · 989647781

(59·10¹⁵-23)/9 =

6555555555555553_<16>

= definitely prime number

(59·10¹⁶-23)/9 =

65555555555555553_<17>

= 3 · 43 · 67 · 503 · 15079154957_<11>

(59·10¹⁷-23)/9 =

655555555555555553_<18>

= 19 · 9967 · 13693 · 252809177

(59·10¹⁸-23)/9 =

6555555555555555553_<19>

= 10139 · 768389 · 841459543

(59·10¹⁹-23)/9 =

65555555555555555553_<20>

= 3² · 7 · 1040564373897707231_<19>

(59·10²⁰-23)/9 =

655555555555555555553_<21>

= 3671 · 178576833439268743_<18>

(59·10²¹-23)/9 =

6555555555555555555553_<22>

= 431 · 619 · 883 · 7577 · 3672684247_<10>

(59·10²²-23)/9 =

65555555555555555555553_<23>

= 3 · 61 · 3638230303_<10> · 98461903097_<11>

(59·10²³-23)/9 =

655555555555555555555553_<24>

= 17 · 71 · 543128049341802448679_<21>

(59·10²⁴-23)/9 =

6555555555555555555555553_<25>

= 29 · 1861 · 51419 · 2362335111656323_<16>

(59·10²⁵-23)/9 =

65555555555555555555555553_<26>

= 3 · 7 · 11243 · 277656597144278368151_<21>

(59·10²⁶-23)/9 =

655555555555555555555555553_<27>

= 704183 · 930944875913726340391_<21>

(59·10²⁷-23)/9 =

6555555555555555555555555553_<28>

= 157 · 60661 · 688335683999694192289_<21>

(59·10²⁸-23)/9 =

65555555555555555555555555553_<29>

= 3² · 167 · 19345227457_<11> · 2254637266950143_<16>

(59·10²⁹-23)/9 =

655555555555555555555555555553_<30>

= 1069 · 4931 · 174667393 · 712008135929239_<15>

(59·10³⁰-23)/9 =

6555555555555555555555555555553_<31>

= 307 · 557235155929_<12> · 38320628070498451_<17>

(59·10³¹-23)/9 =

65555555555555555555555555555553_<32>

= 3 · 7³ · 6313459 · 10090827055611885827423_<23>

(59·10³²-23)/9 =

655555555555555555555555555555553_<33>

= 8641 · 75865704843832375368077254433_<29>

(59·10³³-23)/9 =

6555555555555555555555555555555553_<34>

= 227 · 28879099363680861478218306412139_<32>

(59·10³⁴-23)/9 =

65555555555555555555555555555555553_<35>

= 3 · 109 · 111390880753291_<15> · 1799749707580421029_<19>

(59·10³⁵-23)/9 =

655555555555555555555555555555555553_<36>

= 19 · 38677692743_<11> · 892062621363385888214509_<24>

(59·10³⁶-23)/9 =

6555555555555555555555555555555555553_<37>

= definitely prime number

(59·10³⁷-23)/9 =

65555555555555555555555555555555555553_<38>

= 3⁴ · 7 · 43 · 89 · 263 · 19301 · 5951582003384285098004159_<25>

(59·10³⁸-23)/9 =

655555555555555555555555555555555555553_<39>

= definitely prime number

(59·10³⁹-23)/9 =

6555555555555555555555555555555555555553_<40>

= 17 · 83 · 14049738603338419_<17> · 330684808596488411017_<21>

(59·10⁴⁰-23)/9 =

65555555555555555555555555555555555555553_<41>

= 3 · 89501 · 5137207 · 141657877 · 335500031487963518509_<21>

(59·10⁴¹-23)/9 =

655555555555555555555555555555555555555553_<42>

= definitely prime number

(59·10⁴²-23)/9 =

6555555555555555555555555555555555555555553_<43>

= 7517 · 8633301797468357381_<19> · 101015502597643407889_<21>

(59·10⁴³-23)/9 =

65555555555555555555555555555555555555555553_<44>

= 3 · 7 · 131 · 2711 · 8790010507638154122226645534289540473_<37>

(59·10⁴⁴-23)/9 =

655555555555555555555555555555555555555555553_<45>

= 249958847 · 41887300672849_<14> · 62612149754328594015151_<23>

(59·10⁴⁵-23)/9 =

6555555555555555555555555555555555555555555553_<46>

= 12959 · 129469 · 3907259166866575456151718132792030443_<37>

(59·10⁴⁶-23)/9 =

65555555555555555555555555555555555555555555553_<47>

= 3² · 7283950617283950617283950617283950617283950617_<46>

(59·10⁴⁷-23)/9 =

655555555555555555555555555555555555555555555553_<48>

= 3583 · 55547 · 3293836862933827338296505699834793815853_<40>

(59·10⁴⁸-23)/9 =

6555555555555555555555555555555555555555555555553_<49>

= 319097 · 781969 · 10701774623_<11> · 2454943175608253438985990727_<28>

(59·10⁴⁹-23)/9 =

65555555555555555555555555555555555555555555555553_<50>

= 3 · 7 · 67 · 32413 · 1437461347364827219740786298519951545663083_<43>

(59·10⁵⁰-23)/9 =

655555555555555555555555555555555555555555555555553_<51>

= 174559367 · 238439543192239_<15> · 15750272161072753657769566681_<29>

(59·10⁵¹-23)/9 =

6(5)₅₀3_<52>

= 233 · 389 · 4987 · 102103306619847133_<18> · 142044625033504716685807339_<27>

(59·10⁵²-23)/9 =

6(5)₅₁3_<53>

= 3 · 29 · 35573 · 1432092533002853_<16> · 14791038820389067619324256933551_<32>

(59·10⁵³-23)/9 =

6(5)₅₂3_<54>

= 19 · 47 · 734104765459748662436232425034216747542615403757621_<51>

(59·10⁵⁴-23)/9 =

6(5)₅₃3_<55>

= 139 · 917207089 · 51419434879501806451767738305254135741422643_<44>

(59·10⁵⁵-23)/9 =

6(5)₅₄3_<56>

= 3² · 7 · 17 · 1489 · 7807697 · 5265048579351266174020551919039291004073871_<43>

(59·10⁵⁶-23)/9 =

6(5)₅₅3_<57>

= 4836036146730667704657215759_<28> · 135556380404380229426400708367_<30>

(59·10⁵⁷-23)/9 =

6(5)₅₆3_<58>

= 569 · 2957 · 40697 · 10978205963_<11> · 359578141670557_<15> · 24252630890974345844683_<23>

(59·10⁵⁸-23)/9 =

6(5)₅₇3_<59>

= 3 · 43 · 71 · 7157501425434605912824058909876138831264936734966214167_<55>

(59·10⁵⁹-23)/9 =

6(5)₅₈3_<60>

= 3307 · 10606429 · 2791660789_<10> · 228182112310664767_<18> · 29340119301972175750877_<23>

(59·10⁶⁰-23)/9 =

6(5)₅₉3_<61>

= 191 · 47424421032257_<14> · 61266619057131292367_<20> · 11812727414373341170513457_<26>

(59·10⁶¹-23)/9 =

6(5)₆₀3_<62>

= 3 · 7 · 3121693121693121693121693121693121693121693121693121693121693_<61>

(59·10⁶²-23)/9 =

6(5)₆₁3_<63>

= 52753221817_<11> · 12426834475241460408328098144973922466494716984757609_<53>

(59·10⁶³-23)/9 =

6(5)₆₂3_<64>

= 163 · 379 · 383 · 246863971 · 291519763 · 7196091430823_<13> · 535009542561506290314713377_<27>

(59·10⁶⁴-23)/9 =

6(5)₆₃3_<65>

= 3³ · 125616521 · 19328536722447919137653214201243350300193795414548352859_<56>

(59·10⁶⁵-23)/9 =

6(5)₆₄3_<66>

= 769 · 852477965611905793960410345325819968212686028030631411645715937_<63>

(59·10⁶⁶-23)/9 =

6(5)₆₅3_<67>

= 317 · 919 · 19143686049138787188653_<23> · 1175463546276953572708748862951740271487_<40>

(59·10⁶⁷-23)/9 =

6(5)₆₆3_<68>

= 3 · 7 · 7471271 · 132031663 · 351925988017_<12> · 8992206796053535069080600655385424601573_<40>

(59·10⁶⁸-23)/9 =

6(5)₆₇3_<69>

= 39508929381223933_<17> · 385562134774277944277633_<24> · 43034807508305180798838381877_<29>

(59·10⁶⁹-23)/9 =

6(5)₆₈3_<70>

= 739 · 51131 · 961249172941_<12> · 180486531138530883697657102570515598860994619940437_<51>

(59·10⁷⁰-23)/9 =

6(5)₆₉3_<71>

= 3 · 7229 · 514286041865579_<15> · 10489112825415440055871_<23> · 560359228214498000720464407691_<30>

(59·10⁷¹-23)/9 =

6(5)₇₀3_<72>

= 17 · 19 · 19800749 · 102500353058861225949236222079003134841316071001414516112505239_<63>

(59·10⁷²-23)/9 =

6(5)₇₁3_<73>

= 1847 · 341435201 · 1878711612442463_<16> · 5533172290369208430587184329859234003233009273_<46>

(59·10⁷³-23)/9 =

6(5)₇₂3_<74>

= 3² · 7² · 430999 · 1387550293094691067_<19> · 8309473083468971065643_<22> · 29913858248036295870386407_<26>

(59·10⁷⁴-23)/9 =

6(5)₇₃3_<75>

= 171847353077_<12> · 5114996625229_<13> · 20873411184974954051627749_<26> · 35729577040832033190716509_<26>

(59·10⁷⁵-23)/9 =

6(5)₇₄3_<76>

= 743 · 1583 · 69508079951061183511845791_<26> · 80187095249752621758159580391177493264503207_<44>

(59·10⁷⁶-23)/9 =

6(5)₇₅3_<77>

= 3 · 21521 · 1015373442305276327858921604565394352114300072108724123035725656421720731_<73>

(59·10⁷⁷-23)/9 =

6(5)₇₆3_<78>

= definitely prime number

(59·10⁷⁸-23)/9 =

6(5)₇₇3_<79>

= 487 · 571 · 797 · 2070931 · 5533763 · 60937633 · 2173817057_<10> · 19484593687663620928198978612273187564609_<41>

(59·10⁷⁹-23)/9 =

6(5)₇₈3_<80>

= 3 · 7 · 43 · 39788982202309_<14> · 1061807858251333801430799399923_<31> · 1718355378715874205863498195405993_<34>

(59·10⁸⁰-23)/9 =

6(5)₇₉3_<81>

= 29 · 83 · 96479105531_<11> · 720174831650573287_<18> · 13804004490734927267_<20> · 283959963601029118167290962721_<30>

(59·10⁸¹-23)/9 =

6(5)₈₀3_<82>

= 89 · 214373 · 996662235277_<12> · 344747723686481656059447381212454493152305569778252358086314537_<63>

(59·10⁸²-23)/9 =

6(5)₈₁3_<83>

= 3² · 61 · 67 · 10107603733_<11> · 186206129406334796131_<21> · 946935013661386764222346876112766402841422749617_<48>

(59·10⁸³-23)/9 =

6(5)₈₂3_<84>

= 6565309 · 25861927523293_<14> · 3860943449949816775393389378923947247781768263892367743231096569_<64>

(59·10⁸⁴-23)/9 =

6(5)₈₃3_<85>

= 197 · 2442457053207547_<16> · 13624367196298627387457966715722906977647117078171132529424375485367_<68>

(59·10⁸⁵-23)/9 =

6(5)₈₄3_<86>

= 3 · 7 · 122041853200031_<15> · 13832048301081456623_<20> · 70685865304218074527_<20> · 26161481744407263269389142297843_<32>

(59·10⁸⁶-23)/9 =

6(5)₈₅3_<87>

= 25303 · 293569429 · 14923213103_<11> · 48274749214418223337_<20> · 122502313767007360014294408030643450123944829_<45>

(59·10⁸⁷-23)/9 =

6(5)₈₆3_<88>

= 17 · 18371989 · 876134895762114924887059_<24> · 23957054774088925359301032189989968053888317904668950559_<56>

(59·10⁸⁸-23)/9 =

6(5)₈₇3_<89>

= 3 · 457 · 751 · 17975051 · 139360909 · 146132683 · 8936532788794403585788591_<25> · 19462767629898782535037133925875159_<35>

(59·10⁸⁹-23)/9 =

6(5)₈₈3_<90>

= 19 · 419929 · 410324013210553020346717624889_<30> · 200241043482553840977929914641404592996606945965268427_<54> (Makoto Kamada / GGNFS-0.70.3 / 0.18 hours)

(59·10⁹⁰-23)/9 =

6(5)₈₉3_<91>

= definitely prime number

(59·10⁹¹-23)/9 =

6(5)₉₀3_<92>

= 3³ · 7 · 811 · 99551 · 5330399 · 3698780759_<10> · 985543078969_<12> · 1259888452481_<13> · 3107065034090743153_<19> · 56481322476598409315281_<23>

(59·10⁹²-23)/9 =

6(5)₉₁3_<93>

= 13883 · 31737957522621698997134667245084842468781_<41> · 1487809077045042301475098742460312074816055054911_<49> (Makoto Kamada / GGNFS-0.71.1 / 0.29 hours)

(59·10⁹³-23)/9 =

6(5)₉₂3_<94>

= 71² · 18308611119263_<14> · 510776469515615593605032219_<27> · 139061376071176076785140361950036792328327290539389_<51>

(59·10⁹⁴-23)/9 =

6(5)₉₃3_<95>

= 3 · 113 · 193379219927892494264175680104883644706653556211078334972140281874795149131432317273025237627_<93>

(59·10⁹⁵-23)/9 =

6(5)₉₄3_<96>

= 514079 · 113956956065867_<15> · 11190224477551534370541395965298117619006325572769914467305586379390244459421_<77>

(59·10⁹⁶-23)/9 =

6(5)₉₅3_<97>

= definitely prime number

(59·10⁹⁷-23)/9 =

6(5)₉₆3_<98>

= 3 · 7 · 4877158213775669959681046699901786101_<37> · 640063943973728809503826354992749171481678937705973188784393_<60> (Makoto Kamada / GGNFS-0.71.1 / 0.33 hours)

(59·10⁹⁸-23)/9 =

6(5)₉₇3_<99>

= 1053000371_<10> · 64776850399_<11> · 162973283557877947269823_<24> · 58971847596045280943520588298975642821262992529962987259_<56>

(59·10⁹⁹-23)/9 =

6(5)₉₈3_<100>

= 47 · 26029 · 809203 · 2023001 · 3273411314603870458511889736393257777356781812405687598255682500515439346371414577_<82>

(59·10¹⁰⁰-23)/9 =

6(5)₉₉3_<101>

= 3² · 43 · 139 · 229 · 2797 · 1446635199128701_<16> · 1315215020748539307731166274584038560595874506635645107090221704671749127317_<76>

(59·10¹⁰¹-23)/9 =

6(5)₁₀₀3_<102>

= 181 · 6277 · 2870227 · 201030777900138076612947726602516599070602804711082999437418913241268368135353473098130147_<90>

(59·10¹⁰²-23)/9 =

6(5)₁₀₁3_<103>

= 8581 · 37356797 · 9432433276225769438159_<22> · 2168094591586622998956668419864623928805662476631436534602575627607231_<70>

(59·10¹⁰³-23)/9 =

6(5)₁₀₂3_<104>

= 3 · 7 · 17 · 183629007158418923124805477746654217242452536570183629007158418923124805477746654217242452536570183629_<102>

(59·10¹⁰⁴-23)/9 =

6(5)₁₀₃3_<105>

= 29633 · 2889353029_<10> · 7656552641873170540501089558310307605498226402687587299226044755562350753552517645922307629_<91>

(59·10¹⁰⁵-23)/9 =

6(5)₁₀₄3_<106>

= 157 · 1297 · 1559 · 3855542897554993996687673_<25> · 5355971026304432767724788838130360214606252391450505469244525656619895451_<73>

(59·10¹⁰⁶-23)/9 =

6(5)₁₀₅3_<107>

= 3 · 257 · 20211847 · 92335751029978400955999959300557_<32> · 45559530102433790250969308197884636292207558122143222304158908817_<65> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4137374996 for P32 / Aug 30, 2009)

(59·10¹⁰⁷-23)/9 =

6(5)₁₀₆3_<108>

= 19² · 467 · 12923 · 6905931497_<10> · 22368220060577_<14> · 1947907737099589903974527196526887639647273415999613078305418859575524544337_<76>

(59·10¹⁰⁸-23)/9 =

6(5)₁₀₇3_<109>

= 29 · 6879451 · 63526531 · 750437911280891_<15> · 5334966234181692151487_<22> · 695845191179711717435089_<24> · 185670758200713618178645980901169_<33>

(59·10¹⁰⁹-23)/9 =

6(5)₁₀₈3_<110>

= 3² · 7 · 29548395847_<11> · 47893365661464705089_<20> · 246446623997393840203_<21> · 30949751475183690741131_<23> · 96400580093294486385288963143481649_<35>

(59·10¹¹⁰-23)/9 =

6(5)₁₀₉3_<111>

= 97 · 3931 · 1719232942368106422267505069551714381208725660833804665415414759119438026460451960114961318715773787408979_<106>

(59·10¹¹¹-23)/9 =

6(5)₁₁₀3_<112>

= 13121 · 3265860069875583893_<19> · 152983641334497830308051406272701814491181565131724015964666895583741288730604798771873501_<90>

(59·10¹¹²-23)/9 =

6(5)₁₁₁3_<113>

= 3 · 311 · 66463 · 8159681 · 129561133066917574670504533381051280828300115503105829262227423117039566546623582481992893429219347_<99>

(59·10¹¹³-23)/9 =

6(5)₁₁₂3_<114>

= 5471 · 165737137 · 722974459081664301157423906494591178764344857805595582660076375512453150384322207447903359886679773039_<102>

(59·10¹¹⁴-23)/9 =

6(5)₁₁₃3_<115>

= 23833 · 1255361 · 118814489 · 1844135177720154369088630631413514576902145707886272868889713000263379320045794428362715025540529_<97>

(59·10¹¹⁵-23)/9 =

6(5)₁₁₄3_<116>

= 3 · 7² · 67 · 2329879 · 3653219 · 53399893201803322064956631_<26> · 24184337548568340926538802439_<29> · 605527269193368818636288940438436661165606933_<45>

(59·10¹¹⁶-23)/9 =

6(5)₁₁₅3_<117>

= 2541203681_<10> · 257970488732168476484886516090150254884490526422921372887605051267653801086854145618387192772036424401651713_<108>

(59·10¹¹⁷-23)/9 =

6(5)₁₁₆3_<118>

= 433 · 97184768442645505553580695132117_<32> · 155784197566923435384179951190141128237442649031951845773179362399075390459437211373_<84> (Dmitry Domanov / GGNFS/msieve 1.42 snfs / 1.50 hours / Sep 6, 2009)

(59·10¹¹⁸-23)/9 =

6(5)₁₁₇3_<119>

= 3⁵ · 5231 · 404799591398492489_<18> · 32324857602117084442820387_<26> · 1332969529647585320038002913_<28> · 2956797625220104471332663402827483713064399_<43>

(59·10¹¹⁹-23)/9 =

6(5)₁₁₈3_<120>

= 17 · 1973 · 8867 · 1483733 · 33962362703612243_<17> · 545227256206212757_<18> · 80227928172900045771838190231752866868574207131217153248117575203157853_<71>

(59·10¹²⁰-23)/9 =

6(5)₁₁₉3_<121>

= 7040791 · 616357577503_<12> · 2209883353053776286816169_<25> · 683574666724152049364664088097200438457437437976213550837602171168051689323569_<78>

(59·10¹²¹-23)/9 =

6(5)₁₂₀3_<122>

= 3 · 7 · 43 · 83 · 62659 · 252001 · 3890318671781_<13> · 16254745280724313259542306996318654639_<38> · 875976771301044758722134852221364087178881271056936925037_<57> (Serge Batalov / GMP-ECM 6.2.3 B1=2000000, sigma=2732121548 for P38 / Sep 5, 2009)

(59·10¹²²-23)/9 =

6(5)₁₂₁3_<123>

= 499 · 1549 · 16636217597_<11> · 50980365717730328685184473609189253479209809696316379944537078787394158887859828098072594261690165663666899_<107>

(59·10¹²³-23)/9 =

6(5)₁₂₂3_<124>

= 16423871 · 33690683433359402920174483777695242957_<38> · 11847430126160377731229441236227256582416556719472932180179868318471140022894299_<80> (Serge Batalov / GMP-ECM B1=2000000, sigma=188559141 for P38 / Sep 5, 2009)

(59·10¹²⁴-23)/9 =

6(5)₁₂₃3_<125>

= 3 · 2687 · 74106377 · 13281059589368018335225524772457_<32> · 8262895765601366771943712921389610583652460098546965444925347049547834152076028357_<82> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1208220249 for P32 / Aug 30, 2009)

(59·10¹²⁵-23)/9 =

6(5)₁₂₄3_<126>

= 19 · 89 · 331711 · 723334286072127760440979_<24> · 42222680564788862551510597914520769117009_<41> · 38266713798433521128707810484637485291912398620879023_<53> (Sinkiti Sibata / Msieve 1.42 for P41 x P53 / 2.39 hours / Sep 5, 2009)

(59·10¹²⁶-23)/9 =

6(5)₁₂₅3_<127>

= 75503 · 564188894543914208956794527643148388913774124253997606584441_<60> · 153893671499699811407798392541980060364509504361334033629409511_<63> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 1.57 hours on Core 2 Quad Q6700 / Sep 5, 2009)

(59·10¹²⁷-23)/9 =

6(5)₁₂₆3_<128>

= 3² · 7 · 307771275353609321_<18> · 865345578979746037_<18> · 3907070873748694602567750374185114225138667659057201274528000805521533810847420953684049803_<91>

(59·10¹²⁸-23)/9 =

6(5)₁₂₇3_<129>

= 71 · 2293 · 45582739 · 417008707861408700811461669_<27> · 211836873043509228984921563430898731170132759929460067971845338533580537144657683174223461_<90>

(59·10¹²⁹-23)/9 =

6(5)₁₂₈3_<130>

= 75653 · 9309641963847287_<16> · 4614725795883954275429109017216659_<34> · 2016993358196965486133176761640833276461425032272165651768369914842420187897_<76> (Sinkiti Sibata / Msieve 1.40 snfs / 3.79 hours on by Linux, 32bit / Sep 5, 2009)

(59·10¹³⁰-23)/9 =

6(5)₁₂₉3_<131>

= 3 · 491 · 4070673846796566218421014503_<28> · 10933027699413557173469184899417314242876748433649060888174341237335240160793880381746334546640706487_<101>

(59·10¹³¹-23)/9 =

6(5)₁₃₀3_<132>

= 505717870849_<12> · 31193260277616139170827_<23> · 2213940512772066993915618104377958245498637731_<46> · 18770441375137419556441967816076411508423217279309281_<53> (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P46 x P53 / 1.89 hours on Core 2 Quad Q6700 / Sep 5, 2009)

(59·10¹³²-23)/9 =

6(5)₁₃₁3_<133>

= definitely prime number

(59·10¹³³-23)/9 =

6(5)₁₃₂3_<134>

= 3 · 7 · 179 · 17439626378173864207383760456386154710177056545771629570512252076497886553752475540185037391741302355827495492299961573704590464367_<131>

(59·10¹³⁴-23)/9 =

6(5)₁₃₃3_<135>

= 22453618057915517777_<20> · 32779549948892930549_<20> · 109549546925366048058099112355570359543_<39> · 8130356687467199190018185491945775555626225108447828911227_<58> (Sinkiti Sibata / Msieve 1.42 for P39 x P58 / 6.13 hours / Sep 6, 2009)

(59·10¹³⁵-23)/9 =

6(5)₁₃₄3_<136>

= 17² · 4033384965435623345569638585775206175700568128455161178295943361_<64> · 5623956907561519679072678462943544587725062461900245913207560067776257_<70> (Dmitry Domanov / GGNFS/msieve 1.42 snfs / 3.25 hours / Sep 6, 2009)

(59·10¹³⁶-23)/9 =

6(5)₁₃₅3_<137>

= 3² · 29 · 283 · 26705301404713169736168719314021674245521_<41> · 33234188241310821888516958762778464633803409872337761429587661457861788148008353259184887911_<92> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 3.36 hours on Core 2 Quad Q6700 / Sep 5, 2009)

(59·10¹³⁷-23)/9 =

6(5)₁₃₆3_<138>

= 4259 · 183002111491_<12> · 841096375416231666484898684941858533115613016285797406694473339602534880556875969581929553690004713694038402075755411079737_<123>

(59·10¹³⁸-23)/9 =

6(5)₁₃₇3_<139>

= 255913187 · 370691351 · 2710218850040774104583_<22> · 314501601214746905872981699611119539_<36> · 81073171272865284477958404680830239933166102622820941120013499337_<65> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=5471242219 for P36 / Sep 5, 2009)

(59·10¹³⁹-23)/9 =

6(5)₁₃₈3_<140>

= 3 · 7 · 2657 · 302634582241905331915681_<24> · 3882219614027430129839429426341558316938361808399310109355274036480961085680151901677729318930731665012672860829_<112>

(59·10¹⁴⁰-23)/9 =

6(5)₁₃₉3_<141>

= 1483 · 172801 · 197759 · 886399667667622120942040383_<27> · 5689289916654150275926497293389_<31> · 2565063923866998207044226037098494558613110402926733815660812190741327_<70> (Serge Batalov / GMP-ECM B1=2000000, sigma=1172970948 for P31 / Sep 5, 2009)

(59·10¹⁴¹-23)/9 =

6(5)₁₄₀3_<142>

= 11166371 · 11269772850015485143716117717785059488909143582753326718169637309397_<68> · 52093349964758237235431796266725582935721900063340311411451502216319_<68> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.42 snfs / 7.76 hours, 0.47 hours / Sep 7, 2009)

(59·10¹⁴²-23)/9 =

6(5)₁₄₁3_<143>

= 3 · 43 · 61 · 109 · 1530962800903_<13> · 46434594023085269_<17> · 5122432882476929452340127769_<28> · 209884753199464087080383859154803953570616666555689425626499446356382804153212171_<81> (Serge Batalov / GMP-ECM 6.2.3 B1=2000000, sigma=2627240755 for P28 / Sep 5, 2009)

(59·10¹⁴³-23)/9 =

6(5)₁₄₂3_<144>

= 19 · 34502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187134502923976608187_<143>

(59·10¹⁴⁴-23)/9 =

6(5)₁₄₃3_<145>

= 163 · 3697 · 6737 · 35257 · 415536401498401_<15> · 22668087948353567565904107786791717805911245941992313013_<56> · 4862242115508238125345457419625722788001039034862505270628919_<61> (Sinkiti Sibata / Msieve 1.40 snfs / 12.40 hours / Sep 6, 2009)

(59·10¹⁴⁵-23)/9 =

6(5)₁₄₄3_<146>

= 3³ · 7 · 47 · 317 · 32119 · 57037 · 31519679 · 4111167191_<10> · 98067468144596785337188449768897546179405527692297506069362324352589767993477595011831344085705677602204854559869_<113>

(59·10¹⁴⁶-23)/9 =

6(5)₁₄₅3_<147>

= 139 · 227 · 1692235377397883371_<19> · 127527258914913241208611_<24> · 96273120692224204866050448242771631001784015113263062450183792507915695265422954495132754530934670721_<101>

(59·10¹⁴⁷-23)/9 =

6(5)₁₄₆3_<148>

= 123017 · 22480150214371349_<17> · 39429366829787535451_<20> · 60120884108979359022337634970086671260912319093018794993424783585330772213708403185413824376325408706254191_<107>

(59·10¹⁴⁸-23)/9 =

6(5)₁₄₇3_<149>

= 3 · 67 · 313 · 16672259 · 19427300411_<11> · 93935018478585253673833_<23> · 685951288658961228928569473938697_<33> · 49927681780334666208187600144807819546142020708870361608063723439122369_<71> (Serge Batalov / GMP-ECM 6.2.3 B1=2000000, sigma=2715254249 for P33 / Sep 5, 2009)

(59·10¹⁴⁹-23)/9 =

6(5)₁₄₈3_<150>

= 6837712906343653129348841_<25> · 95873512757075139310465904340165667144060217015376257553800453957085350996200108493821648942253620070534929953678627157931833_<125>

(59·10¹⁵⁰-23)/9 =

6(5)₁₄₉3_<151>

= 401 · 170557092168739_<15> · 95850712708039571920578056166200948488013281979346161136145273223236825226723116864428563645525897683603950569291674046462170454885627_<134>

(59·10¹⁵¹-23)/9 =

6(5)₁₅₀3_<152>

= 3 · 7 · 17 · 6818551739_<10> · 3398061299561541566987807_<25> · 13740345644921944219850244595159735469_<38> · 576793395614788307245751528168087790216527747222217724082610560048684629879117_<78> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 10.65 hours on Core 2 Quad Q6700 / Sep 6, 2009)

(59·10¹⁵²-23)/9 =

6(5)₁₅₁3_<153>

= 2909 · 3013899395153_<13> · 27350198169269_<14> · 2733861771787923463585689221279418904043644137204287978281504364114809809592009465472334465223151550822681936154316443369681_<124>

(59·10¹⁵³-23)/9 =

6(5)₁₅₂3_<154>

= 348431 · 893516017 · 296290457217536809_<18> · 2328135541872022222737051521_<28> · 30525616780356004196971359938642017484229735040807892447101256080428466837722483220983206312551_<95>

(59·10¹⁵⁴-23)/9 =

6(5)₁₅₃3_<155>

= 3² · 149 · 193 · 288769991604994884130111881413557783_<36> · 1875491618469598154603619066440565706645821058259017_<52> · 467688000648417307991081251498306258138477804436279588786510971_<63> (Sinkiti Sibata / Msieve 1.40 snfs / 29.11 hours / Sep 7, 2009)

(59·10¹⁵⁵-23)/9 =

6(5)₁₅₄3_<156>

= 191 · 160507 · 1473556849_<10> · 1652874776029_<13> · 80804662243348682197289635519_<29> · 108652291646125930180876678433670685309676589012277476898434747908000080804136273880068885526196831_<99>

(59·10¹⁵⁶-23)/9 =

6(5)₁₅₅3_<157>

= 3181 · 3545667648843745074148059792301669_<34> · 438937215039323846231549903527101748549_<39> · 1324175061514614755674758049165946651544932139925601108255858176964575458176417773_<82> (Dmitry Domanov / ECMNET / Sep 5, 2009) (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=3686906529 for P34 / Sep 6, 2009)

(59·10¹⁵⁷-23)/9 =

6(5)₁₅₆3_<158>

= 3 · 7² · 82209271 · 18781833899_<11> · 26622989483_<11> · 2675098858742316378817_<22> · 4055428213852453341078674284364293385990428789402424306197489651082243986717060580140261206022815013775621_<106>

(59·10¹⁵⁸-23)/9 =

6(5)₁₅₇3_<159>

= 12487 · 2207698132336061_<16> · 138950783711105562238509825389437166829461858261_<48> · 171139673698799815993773112254601075308395029276065689096470124575931764320838076484006014039_<93> (Sinkiti Sibata / Msieve 1.40 snfs / 39.17 hours / Sep 9, 2009)

(59·10¹⁵⁹-23)/9 =

6(5)₁₅₈3_<160>

= 4621 · 40189 · 13682359087_<11> · 2330519544701783695875782903_<28> · 1107012691949429516889738870539595146525725897179776740078911325693467347002142502970079850065440039853230394517617_<115>

(59·10¹⁶⁰-23)/9 =

6(5)₁₅₉3_<161>

= 3 · 647 · 653209 · 77920359733043141718152669423045508379211105199251_<50> · 98172545308143954510401342127697808960301693255503_<50> · 6759130118453366726339492334933329085640787085108329_<52> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 17.56 hours on Core 2 Quad Q6700 / Sep 6, 2009)

(59·10¹⁶¹-23)/9 =

6(5)₁₆₀3_<162>

= 19 · 39209 · 180021081371137571_<18> · 340082579942596827767_<21> · 6000615750606979819104103_<25> · 50470778712824982105703199363588480917_<38> · 47459871643003397735547411318564745587048731951584716349_<56> (Dmitry Domanov / msieve 1.42 for P38 x P56 / 1.98 hours / Sep 7, 2009)

(59·10¹⁶²-23)/9 =

6(5)₁₆₁3_<163>

= 83 · 7993 · 9881470918914826912638250570989910683226672066304334900802593165941215966916165433241368660764246359473508530137900113737405102289134853773490894224548219987_<157>

(59·10¹⁶³-23)/9 =

6(5)₁₆₂3_<164>

= 3² · 7 · 43 · 71 · 558007 · 610804884546558932297406655666304478964544200970188730948696839290547256975708449431861734637552248841903686436210898754377532903360051391984693905677661_<153>

(59·10¹⁶⁴-23)/9 =

6(5)₁₆₃3_<165>

= 29 · 773 · 58035983 · 29850219915001_<14> · 75817706828629901061159433_<26> · 27815983394117839176196626068399018951259031327_<47> · 8004276222190184739443821823422506202968291528399513054947594684353_<67> (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P47 x P67 / 14.58 hours on Core 2 Quad Q6700 / Sep 6, 2009)

(59·10¹⁶⁵-23)/9 =

6(5)₁₆₄3_<166>

= 1741 · 38960227999134538231_<20> · 2064990475929912749997390361_<28> · 46802730236683154984816134421376388063144540153731467205541612475533926974676458033603066779475822373135228517421563_<116> (Sinkiti Sibata / Msieve 1.40 snfs / 51.38 hours / Sep 11, 2009)

(59·10¹⁶⁶-23)/9 =

6(5)₁₆₅3_<167>

= 3 · 337 · 13762016883863372331245726248307835934280238168059759413862859606014645511587_<77> · 4711685133710953668512566356995788489413041337701567967488467192158358794694291911725929_<88> (Dmitry Domanov / GGNFS/msieve 1.42 snfs / 58.57 hours / Sep 9, 2009)

(59·10¹⁶⁷-23)/9 =

6(5)₁₆₆3_<168>

= 17 · 234187 · 7987796963_<10> · 10020240696915019_<17> · 46087452381739399_<17> · 2023426230947608269258352112759_<31> · 56774832039193096194261868776283784454786901_<44> · 388567694701708852377210234670993803512837191_<45> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1146450589 for P31 / Aug 31, 2009) (Dmitry Domanov / msieve 1.42 for P44 x P45 / 0.84 hours / Sep 6, 2009)

(59·10¹⁶⁸-23)/9 =

6(5)₁₆₇3_<169>

= 3037 · 70949 · 3479122711429_<13> · 626993149292111216903692304785352393_<36> · 110048503437674618577003803131929796931304105206341_<51> · 126736511344598905102072768628781352839776284565818193000471953_<63> (Serge Batalov / GMP-ECM B1=3000000, sigma=565118240 for P36 / Sep 5, 2009) (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P51 x P63 / 12.39 hours on Core 2 Quad Q6700 / Sep 6, 2009)

(59·10¹⁶⁹-23)/9 =

6(5)₁₆₈3_<170>

= 3 · 7 · 89 · 28430964259781917943980748374208784514853_<41> · 1233697291939774133711286527411120375881469802995317171773279409219618101136753281894577979510992906387685595566502805933883329_<127> (Dmitry Domanov / GGNFS/msieve 1.42 snfs / 71.59 hours / Sep 12, 2009)

(59·10¹⁷⁰-23)/9 =

6(5)₁₆₉3_<171>

= 390851 · 48368893646488639399792790099_<29> · 34676249650469454642811348742497106659194054231532619631069302328034656700170187808113072619448957265774235666206584674665840274659966697_<137>

(59·10¹⁷¹-23)/9 =

6(5)₁₇₀3_<172>

= 222007 · 10494722250253_<14> · 59598228794564501040610886519_<29> · 3939505413495090956761042376399137073412235446161_<49> · 11983862851224098519918436287254449887181231289282031217252710412834706796677_<77> (ruffenach timothee / Msieve 1.44 snfs / Feb 28, 2010)

(59·10¹⁷²-23)/9 =

6(5)₁₇₁3_<173>

= 3³ · 2243 · 1558388347_<10> · 9692197913461901_<16> · 27647054178045035024590372529_<29> · 14936440304226310362691079505554837839_<38> · 173549164616500844104280220544007979602810463123114581040836784586235411904689_<78> (Serge Batalov / GMP-ECM B1=2000000, sigma=3507598991 for P29 / Sep 5, 2009) (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=4356979258 for P38 / Sep 6, 2009)

(59·10¹⁷³-23)/9 =

6(5)₁₇₂3_<174>

= 131 · 2851 · 6560578895733130408997_<22> · 1311065426813090515668111808289_<31> · 204067790185182331108019895793451625564880042941455500070685555184130766540641920977140928019243759805957989076063461_<117> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3224571191 for P31 / Sep 3, 2009)

(59·10¹⁷⁴-23)/9 =

6(5)₁₇₃3_<175>

= 563 · 1777 · 96093178978213_<14> · 32462659004092561_<17> · 2100569371102082323644945892626035715756633523445898349544322517902754684468848793576821664110478478209077036763704219640172812349627393471_<139>

(59·10¹⁷⁵-23)/9 =

6(5)₁₇₄3_<176>

= 3 · 7 · 214481 · 14554637108616248959682643785198323828785268260093535992100433705983847954465398434794325339408586875728487339772255452432251309541139409519359258496990976791052322218253_<170>

(59·10¹⁷⁶-23)/9 =

6(5)₁₇₅3_<177>

= 10607 · 170707 · 1907561 · 7383695113_<10> · 13356533207_<11> · 94204984191876091349_<20> · 403844630858790500575868682495392203682876092519852009_<54> · 50586131707898714276738487374243579850913014442871160843064241211167_<68> (Erik Branger / GGNFS, Msieve gnfs for P54 x P68 / 78.97 hours / Sep 17, 2009)

(59·10¹⁷⁷-23)/9 =

6(5)₁₇₆3_<178>

= 219515629 · 5109029021_<10> · 5845284934405875501479447043686685035065567691515877337821402331071877444259422490173147639131324007973486667385929804770000042191460349235008255380614820131017_<160>

(59·10¹⁷⁸-23)/9 =

6(5)₁₇₇3_<179>

= 3 · 174169 · 2421325693795417565693_<22> · 89970218861180159823001_<23> · 4520767660869280168334551_<25> · 127395243744072096034682055426347460296277581026799093711560604655406018768600386564796220531792013708353_<105>

(59·10¹⁷⁹-23)/9 =

6(5)₁₇₈3_<180>

= 19 · 2015473 · 265950273339045083658501704336465111_<36> · 64369253958059454454071720059779934517007813788573707868537817779248209579620751914898588371608462553066047076092102225842982124009465229_<137> (Sinkiti Sibata / Msieve 1.40 snfs / 235.94 hours / Sep 22, 2009)

(59·10¹⁸⁰-23)/9 =

6(5)₁₇₉3_<181>

= 233793311673439997_<18> · 145559872017335492841983_<24> · 192635247114894035090940520741953473698486309330216480787085010975862140255137498414140402620950143980109932939003797962667302631417676803403_<141>

(59·10¹⁸¹-23)/9 =

6(5)₁₈₀3_<182>

= 3² · 7 · 67 · 1472411 · 34956563 · [301742421607555444863956701322951155972989678737656496146582682445282256640928006563688274818114479085590679353974019532159285961442689426457299545526688596294462901_<165>] SUBMIT/RESERVE

(59·10¹⁸²-23)/9 =

6(5)₁₈₁3_<183>

= 197 · 1593192200191_<13> · 2088695372102606724693347539617448852592670822687530099907612997767364632878368240832166327655679750813929996445911463717118797513212196770881189100927614756840262600339_<169>

(59·10¹⁸³-23)/9 =

6(5)₁₈₂3_<184>

= 17 · 157 · 307 · 418169 · 3071560397_<10> · 207920500795939764115102193092217782873_<39> · 29958105562723879569650239422985086470882822192041683348615203179166111749014203503139980521154465333604689305386183218441619_<125> (Rich Dickerson / GMP-ECM 6.3 [config with GMP 5.0.1] [ECM] B1=11000000, sigma=3472574511 for P39 / Nov 2, 2011)

(59·10¹⁸⁴-23)/9 =

6(5)₁₈₃3_<185>

= 3 · 43 · 20643449 · 36214717776038891_<17> · 679755027234161820854364965550605961849444897021602914173640402339639421148848684985690267509924496644005222296349243374892744203332211233150244288762965950523_<159>

(59·10¹⁸⁵-23)/9 =

6(5)₁₈₄3_<186>

= 1048633 · 2362619143_<10> · 1036894629011489_<16> · 4697396739519487642802809_<25> · 537864844057359624847291754331147978083_<39> · 776657403616698039772996030898887190021_<39> · 130046225239590461392743611635298754997217503927033609_<54> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=1118099787 for P39(5378...), B1=3000000, sigma=2072657346 for P39(7766...) / Sep 6, 2009)

(59·10¹⁸⁶-23)/9 =

6(5)₁₈₅3_<187>

= 32013482255385265541_<20> · 7386185884620867151389723180548625721770504571_<46> · 27724029489351096699702244023021223758955070687484370576331547655089551273717551395853819732211170749078788812902027717623_<122> (yoyo@home / GMP-ECM B1=43000000, sigma=856747853 for P46 / Feb 7, 2010)

(59·10¹⁸⁷-23)/9 =

6(5)₁₈₆3_<188>

= 3 · 7 · 3946289 · 22055687 · 242342537 · 421038896503_<12> · 351502859026121752233781288451665852587614482446346144349984948821536305075342803546035726072590638635432238504649484337058986899058592024530199839465541_<153>

(59·10¹⁸⁸-23)/9 =

6(5)₁₈₇3_<189>

= 9601 · 126008501 · 1777188947_<10> · 3114564599_<10> · 4933520160688016341_<19> · 184433266099449111832432557049_<30> · 107588555419106513399842620533796184150853861966588199112466282681847554655578662835160772634329200091950754189_<111> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=1713815217 for P30 / Sep 3, 2009)

(59·10¹⁸⁹-23)/9 =

6(5)₁₈₈3_<190>

= 213557 · 3731027653891_<13> · 30119011337798486237_<20> · [273165916726911453734391709538117272803597881143221946378450974373181619096373755102945418814909534766812214395113287155006249328384797806304809849458187_<153>] SUBMIT/RESERVE

(59·10¹⁹⁰-23)/9 =

6(5)₁₈₉3_<191>

= 3² · 595930134278907987018097882864219937198080120308454580288752400192693_<69> · 12222826466222811769941835851841951524169028228224503246579993591785109785182270777425388414418679194209613457906566723669_<122> (Dmitry Domanov / GGNFS/msieve 1.42 for P69 x P122 / 12 cpu-days, 6.02 hours / Sep 13, 2009)

(59·10¹⁹¹-23)/9 =

6(5)₁₉₀3_<192>

= 47 · 77528047081_<11> · 2455742348484227844082877051_<28> · [73260520584241407194752819396743407478406879886808326799427220021755832921946863859759750649538346315894856165489947703114639788915596931404635410219029_<152>] (Serge Batalov / GMP-ECM B1=2000000, sigma=383201064 for P28 / Sep 5, 2009) SUBMIT/RESERVE

(59·10¹⁹²-23)/9 =

6(5)₁₉₁3_<193>

= 29 · 139 · 1583863 · 33747139 · 18444410399_<11> · [1649595082297414489799887678943249545580912290555375198387703118385839507051951234062042414958705693827705796804948013632489529816772532241857210708379455443383525741_<166>] SUBMIT/RESERVE

(59·10¹⁹³-23)/9 =

6(5)₁₉₂3_<194>

= 3 · 7 · 8392676022870318069478327382297_<31> · [371954441370833964234481586753462630559083512196206761858180362106648092732337345715501797074416551502964300607145397780945414406166452845653728189358760143045669_<162>] (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=4114333974 / Sep 4, 2009) SUBMIT/RESERVE

(59·10¹⁹⁴-23)/9 =

6(5)₁₉₃3_<195>

= 167 · 228285157736039_<15> · 35873687474441774208125952619_<29> · [479335213207741245003527583887158873557699863891692498384699765863943251282055477987014761294737828507118107156662030571583407504914367032971015241299_<150>] (Serge Batalov / GMP-ECM 6.2.3 B1=2000000, sigma=918327226 for P29 / Sep 5, 2009) SUBMIT/RESERVE

(59·10¹⁹⁵-23)/9 =

6(5)₁₉₄3_<196>

= 466619 · 15020558240790961519556181394535596901_<38> · 935321699295305091769020291865845968537538790564424714932276783460783187423104867410069646498110493649355467142860211527355440858568679417266056052216087_<153> (Dmitry Domanov / ECMNET / Sep 5, 2009)

(59·10¹⁹⁶-23)/9 =

6(5)₁₉₅3_<197>

= 3 · 22901 · 88655194877_<11> · 10822253712203214448677627731626443329778749654682724145451311179927578877_<74> · 994516289168341231439126352426978092983032011238323033185632558520524189759605061519992173841994250069840519_<108> (matsui / Msieve 1.49 snfs / May 24, 2011)

(59·10¹⁹⁷-23)/9 =

6(5)₁₉₆3_<198>

= 19 · 541 · 32146795939_<11> · 1983905323195952598262654586425034866326774347553389691452179248695767633308509028776641953203615095906019838653095716221733949007577902741658261707139535128407864638975343190611630813_<184>

(59·10¹⁹⁸-23)/9 =

6(5)₁₉₇3_<199>

= 71 · 599 · 4679 · 32943617430385120843434062804468297387901858187477156218654514442936670911295429980594439312024277029436427076319186999496658936212322740005488708181756608725147563242782289749580203252057783_<191>

(59·10¹⁹⁹-23)/9 =

6(5)₁₉₈3_<200>

= 3⁴ · 7² · 17 · 432499 · 1472971 · 1525106520126748096724625891514694041253972970450413521496313653147179117171257342390496416338656533844848473650911536205114865354731681587602881533563590669455559003664066160337515809_<184>

(59·10²⁰⁰-23)/9 =

6(5)₁₉₉3_<201>

= 31649 · 951741601 · 21763586052099374420009212490861893729791073464657535106181522929109151848807514209254997548514139125475715706390360990385582777914287503097865446529171238039511515386013642946177814619297_<188>

(59·10²⁰¹-23)/9 =

6(5)₂₀₀3_<202>

= 23950208884367693281723_<23> · [273716007539056084772116537614242226549575118196355345048214488300699430037199678583352015067469173290642139017770980396686838347537423156581614974759696874925966628922087835144211_<180>] SUBMIT/RESERVE

(59·10²⁰²-23)/9 =

6(5)₂₀₁3_<203>

= 3 · 61 · 358227079538554948391013964784456587735276259866423800850030358227079538554948391013964784456587735276259866423800850030358227079538554948391013964784456587735276259866423800850030358227079538554948391_<201>

(59·10²⁰³-23)/9 =

6(5)₂₀₂3_<204>

= 83 · 900436541 · 2967608674608381043589_<22> · 2955777010547585372499598939018961666982159777626063393822837899873176581374217918234835858305870911118466792875084968105955836713384085327427257008999399008054869388577259_<172>

(59·10²⁰⁴-23)/9 =

6(5)₂₀₃3_<205>

= 439 · 1123 · 3221 · 30707 · 1296591727_<10> · 9495492049_<10> · 47978976558307_<14> · 227596412102022329122585465431576313311202274831497918895160214388797466305161173222478491348707224881455226238646016815586121832571445227591822561451112247647_<159>

(59·10²⁰⁵-23)/9 =

6(5)₂₀₄3_<206>

= 3 · 7 · 43 · 7688017 · 205883402955436274627223611_<27> · [45865494370850870526992897340885086687582357107386296428897449727222995769803961438883864514945568317641371843441083348596687570291132916868226764522007491281430522579973_<170>] SUBMIT/RESERVE

4. References

• A103039 - OEIS (The OEIS Foundation Inc.)