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Factorizations of 522...227

About 522...227
- First ten terms
- General term
Prime numbers of the form 522...227
Factorizations of 522...227
References

1. About 522...227

First ten terms

57, 527, 5227, 52227, 522227, 5222227, 52222227, 522222227, 5222222227, 52222222227

General term

(47·10ⁿ+43)/9

2. Prime numbers of the form 522...227

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

22.34%

Results

(47·10³+43)/9 = 5227 is prime.
(47·10⁵+43)/9 = 522227 is prime.
(47·10³³+43)/9 = 5(2)₃₂7_<34> is prime.
(47·10⁴⁸+43)/9 = 5(2)₄₇7_<49> is prime.
(47·10⁵⁹+43)/9 = 5(2)₅₈7_<60> is prime.
(47·10⁶⁰+43)/9 = 5(2)₅₉7_<61> is prime.
(47·10⁷⁴+43)/9 = 5(2)₇₃7_<75> is prime.
(47·10¹²⁶+43)/9 = 5(2)₁₂₅7_<127> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10¹⁷⁷+43)/9 = 5(2)₁₇₆7_<178> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10²²⁸+43)/9 = 5(2)₂₂₇7_<229> is prime. (searched by Makoto Kamada / Nov 29, 2004) (certified by Makoto Kamada / PPSIQS / Jan 4, 2005)
(47·10⁶³⁸+43)/9 = 5(2)₆₃₇7_<639> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / May 30, 2006)
(47·10¹³⁰⁴+43)/9 = 5(2)₁₃₀₃7_<1305> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Sep 9, 2006)
(47·10¹⁶⁴⁴+43)/9 = 5(2)₁₆₄₃7_<1645> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Aug 15, 2006)
(47·10²⁴³⁵+43)/9 = 5(2)₂₄₃₄7_<2436> is PRP. (Makoto Kamada / PFGW / Dec 17, 2004)
(47·10⁴³⁷⁴+43)/9 = 5(2)₄₃₇₃7_<4375> is PRP. (Makoto Kamada / PFGW / Dec 19, 2004)
(47·10⁸⁷⁵⁰+43)/9 = 5(2)₈₇₄₉7_<8751> is PRP. (Makoto Kamada / PFGW / Dec 31, 2004)

3. Factorizations of 522...227

Last update

Nov 4, 2009

Completed up to

n≤100 / Nov 29, 2004
n≤150 / Mar 22, 2009

Range

n≤205

Terms which have not been factored yet

n=173, 175, 176, 178, 183, 184, 187, 190, 191, 192, 196, 199, 201, 202, 203, 205 (16/205)

Results

(47·10¹+43)/9 =: 57; = 3 · 19

(47·10²+43)/9 =: 527; = 17 · 31

(47·10³+43)/9 =: 5227; = definitely prime number

(47·10⁴+43)/9 =: 52227; = 3² · 7 · 829

(47·10⁵+43)/9 =: 522227; = definitely prime number

(47·10⁶+43)/9 =: 5222227; = 641 · 8147

(47·10⁷+43)/9 =: 52222227; = 3 · 109 · 159701

(47·10⁸+43)/9 =: 522222227; = 29 · 18007663

(47·10⁹+43)/9 =: 5222222227_<10>; = 823 · 2351 · 2699

(47·10¹⁰+43)/9 =: 52222222227_<11>; = 3 · 7 · 577 · 4309831

(47·10¹¹+43)/9 =: 522222222227_<12>; = 44549 · 11722423

(47·10¹²+43)/9 =: 5222222222227_<13>; = 53 · 107 · 3019 · 305023

(47·10¹³+43)/9 =: 52222222222227_<14>; = 3⁵ · 13151 · 16341439

(47·10¹⁴+43)/9 =: 522222222222227_<15>; = 178001 · 2933816227_<10>

(47·10¹⁵+43)/9 =: 5222222222222227_<16>; = 2536837 · 2058556471_<10>

(47·10¹⁶+43)/9 =: 52222222222222227_<17>; = 3 · 7 · 67 · 37116007265261_<14>

(47·10¹⁷+43)/9 =: 522222222222222227_<18>; = 31 · 2287 · 5639 · 1306247269_<10>

(47·10¹⁸+43)/9 =: 5222222222222222227_<19>; = 17 · 95911 · 743779 · 4306199

(47·10¹⁹+43)/9 =: 52222222222222222227_<20>; = 3 · 19 · 916179337231968811_<18>

(47·10²⁰+43)/9 =: 522222222222222222227_<21>; = 23 · 191 · 40637 · 1136623 · 2573689

(47·10²¹+43)/9 =: 5222222222222222222227_<22>; = 1095433 · 67956271 · 70151989

(47·10²²+43)/9 =: 52222222222222222222227_<23>; = 3² · 7 · 828924162257495590829_<21>

(47·10²³+43)/9 =: 522222222222222222222227_<24>; = 197 · 487 · 11195563 · 486199181011_<12>

(47·10²⁴+43)/9 =: 5222222222222222222222227_<25>; = 968321 · 2456983 · 2194996572389_<13>

(47·10²⁵+43)/9 =: 52222222222222222222222227_<26>; = 3 · 53 · 61417 · 5347731885249461509_<19>

(47·10²⁶+43)/9 =: 522222222222222222222222227_<27>; = 2341 · 49347569057_<11> · 4520517671671_<13>

(47·10²⁷+43)/9 =: 5222222222222222222222222227_<28>; = 5869 · 9041 · 98418053132560672463_<20>

(47·10²⁸+43)/9 =: 52222222222222222222222222227_<29>; = 3 · 7 · 103811 · 23954807166605530940717_<23>

(47·10²⁹+43)/9 =: 522222222222222222222222222227_<30>; = 359 · 4339 · 14274580933_<11> · 23485936510219_<14>

(47·10³⁰+43)/9 =: 5222222222222222222222222222227_<31>; = 257 · 4168104979_<10> · 4875100538048948609_<19>

(47·10³¹+43)/9 =: 52222222222222222222222222222227_<32>; = 3² · 61 · 71 · 18859 · 71040497606194528487507_<23>

(47·10³²+43)/9 =: 522222222222222222222222222222227_<33>; = 31 · 97 · 617879 · 281072583410272632298459_<24>

(47·10³³+43)/9 =: 5222222222222222222222222222222227_<34>; = definitely prime number

(47·10³⁴+43)/9 =: 52222222222222222222222222222222227_<35>; = 3 · 7³ · 17 · 941 · 33599 · 207331 · 30439363 · 14961504757_<11>

(47·10³⁵+43)/9 =: 522222222222222222222222222222222227_<36>; = 21871 · 6017940559_<10> · 7890279143_<10> · 502859253301_<12>

(47·10³⁶+43)/9 =: 5222222222222222222222222222222222227_<37>; = 29 · 21059 · 149839 · 51964967 · 1098206688020811389_<19>

(47·10³⁷+43)/9 =: 52222222222222222222222222222222222227_<38>; = 3 · 19 · 206550312109_<12> · 272427103987_<12> · 16281871526317_<14>

(47·10³⁸+43)/9 =: 522222222222222222222222222222222222227_<39>; = 53 · 641 · 60773 · 9153043 · 27634096595412158308441_<23>

(47·10³⁹+43)/9 =: 5222222222222222222222222222222222222227_<40>; = 10597 · 525304093695841_<15> · 938126985792669736951_<21>

(47·10⁴⁰+43)/9 =: 52222222222222222222222222222222222222227_<41>; = 3³ · 7 · 276308054085831863609641387419165196943_<39>

(47·10⁴¹+43)/9 =: 522222222222222222222222222222222222222227_<42>; = 193 · 1021 · 12379 · 132421 · 37646153 · 42944669848821106417_<20>

(47·10⁴²+43)/9 =: 5222222222222222222222222222222222222222227_<43>; = 23 · 613 · 1057268203_<10> · 350333660451143590133212820291_<30>

(47·10⁴³+43)/9 =: 52222222222222222222222222222222222222222227_<44>; = 3 · 523 · 33283761773245520855463494086821046668083_<41>

(47·10⁴⁴+43)/9 =: 522222222222222222222222222222222222222222227_<45>; = 11377609 · 45899118366804679456133729171236436603_<38>

(47·10⁴⁵+43)/9 =: 5222222222222222222222222222222222222222222227_<46>; = 6218669 · 839765265239591015733788407490770488383_<39>

(47·10⁴⁶+43)/9 =: 52222222222222222222222222222222222222222222227_<47>; = 3 · 7 · 179533 · 3837933327468781_<16> · 3609061974912359022503119_<25>

(47·10⁴⁷+43)/9 =: 522222222222222222222222222222222222222222222227_<48>; = 31 · 59 · 221812607 · 1287227818573405595615369224533312809_<37>

(47·10⁴⁸+43)/9 =: 5222222222222222222222222222222222222222222222227_<49>; = definitely prime number

(47·10⁴⁹+43)/9 =: 52222222222222222222222222222222222222222222222227_<50>; = 3² · 67 · 3724064627677261727129_<22> · 23255240069851176266607121_<26>

(47·10⁵⁰+43)/9 =: 522222222222222222222222222222222222222222222222227_<51>; = 17 · 66683 · 530353 · 2091167053_<10> · 249442829989_<12> · 1665200429908190057_<19>

(47·10⁵¹+43)/9 =: 5222222222222222222222222222222222222222222222222227_<52>; = 53 · 619 · 1637 · 1993 · 2594723 · 8012659 · 8478865437143_<13> · 276775374318871_<15>

(47·10⁵²+43)/9 =: 52222222222222222222222222222222222222222222222222227_<53>; = 3 · 7 · 672811 · 3696093682731832227009921786017896218234797717_<46>

(47·10⁵³+43)/9 =: 522222222222222222222222222222222222222222222222222227_<54>; = 1615079 · 21940641259_<11> · 14737107845395826070951270335141151007_<38>

(47·10⁵⁴+43)/9 =: 5222222222222222222222222222222222222222222222222222227_<55>; = 919 · 1612506165215089091711531_<25> · 3524020720675830163711495343_<28>

(47·10⁵⁵+43)/9 =: 52222222222222222222222222222222222222222222222222222227_<56>; = 3 · 19 · 7687 · 1454328833641158335076053_<25> · 81952271806745178263235401_<26>

(47·10⁵⁶+43)/9 =: 522222222222222222222222222222222222222222222222222222227_<57>; = 394704733 · 250152564889_<12> · 5289054646187200661399935889940744071_<37>

(47·10⁵⁷+43)/9 =: 5222222222222222222222222222222222222222222222222222222227_<58>; = 3833 · 357563 · 3810341991172381111987492201213944621579582394513_<49>

(47·10⁵⁸+43)/9 =: 52222222222222222222222222222222222222222222222222222222227_<59>; = 3² · 7 · 661 · 1111760291_<10> · 316592611136761854361_<21> · 3562881733568676757324139_<25>

(47·10⁵⁹+43)/9 =: 522222222222222222222222222222222222222222222222222222222227_<60>; = definitely prime number

(47·10⁶⁰+43)/9 =: 5222222222222222222222222222222222222222222222222222222222227_<61>; = definitely prime number

(47·10⁶¹+43)/9 =: 52222222222222222222222222222222222222222222222222222222222227_<62>; = 3 · 1509031 · 1962731 · 120471789643_<12> · 48785390804110527569240296618132875583_<38>

(47·10⁶²+43)/9 =: 522222222222222222222222222222222222222222222222222222222222227_<63>; = 31 · 1846283 · 8211013 · 114898791911_<12> · 215584208499487_<15> · 44860719630070842773939_<23>

(47·10⁶³+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222227_<64>; = 473321 · 1343651 · 39283272289_<11> · 209028468281995508226823175570818495436233_<42>

(47·10⁶⁴+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222227_<65>; = 3 · 7 · 23 · 29 · 53 · 169369 · 347853397571879153_<18> · 1193999589062111665771670962899802441_<37>

(47·10⁶⁵+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222227_<66>; = 107 · 172226050084867_<15> · 87834636032663548649_<20> · 322631615977872770083205675867_<30>

(47·10⁶⁶+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222227_<67>; = 17 · 71 · 2181329 · 68963384807_<11> · 2415616812582713_<16> · 11906395169345192263387372801499_<32>

(47·10⁶⁷+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222227_<68>; = 3³ · 36768593 · 13900394489_<11> · 3784316466228951038403395012079218032141805639713_<49>

(47·10⁶⁸+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222222227_<69>; = 9636133495416091_<16> · 616520220989440207793_<21> · 87903307251426869978123537721529_<32>

(47·10⁶⁹+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222227_<70>; = 291349 · 59863561 · 1366354610330578133_<19> · 219137066074197532460456987537213321171_<39>

(47·10⁷⁰+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222227_<71>; = 3 · 7 · 641 · 67619 · 18357587079195383_<17> · 55351557919993332617_<20> · 56462985056070780392006723_<26>

(47·10⁷¹+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222227_<72>; = 397 · 36241 · 28879873992904692440870735710531_<32> · 1256809269180518745420898596218021_<34>

(47·10⁷²+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222227_<73>; = 1164243263730529432498831883333_<31> · 4485507784248545629012619282222994395683319_<43> (Makoto Kamada / msieve 0.81 / 5.4 minutes)

(47·10⁷³+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222227_<74>; = 3 · 19 · 8761 · 104574744576186372664784766263208402113477837830381099294164974002051_<69>

(47·10⁷⁴+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222227_<75>; = definitely prime number

(47·10⁷⁵+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222227_<76>; = 3037 · 17165622177658717076082963486353377_<35> · 100173075420277690313294707691730884623_<39> (Makoto Kamada / msieve 0.81 / 5.7 minutes)

(47·10⁷⁶+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222227_<77>; = 3² · 7² · 331 · 367146811 · 1413268521857_<13> · 3196777564177_<13> · 30772042945769_<14> · 7008992101882876519298987_<25>

(47·10⁷⁷+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222227_<78>; = 31 · 53 · 1516658359_<10> · 3992605221886790297_<19> · 52489646937616626962284556660655195444403119143_<47>

(47·10⁷⁸+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222227_<79>; = 2099 · 6406773147321929249064647_<25> · 388332343146839627430604069297314544426303837612759_<51>

(47·10⁷⁹+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222227_<80>; = 3 · 17407407407407407407407407407407407407407407407407407407407407407407407407407409_<80>

(47·10⁸⁰+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222227_<81>; = 5736929925216736377182301212617_<31> · 91028168206620217140542852891454230667001854238331_<50>

(47·10⁸¹+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222227_<82>; = 1867 · 3557 · 10401064043435100881825716453209456377_<38> · 75604804522229008419460219193137367629_<38> (Makoto Kamada / msieve 0.81 / 12 minutes)

(47·10⁸²+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222227_<83>; = 3 · 7 · 17 · 67 · 131 · 347 · 787 · 1153 · 52930685628092926740100268736226824561941812823904717038212269672479_<68>

(47·10⁸³+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222227_<84>; = 2757191 · 189403716399125857520288664159364448172876751092768771631062999343252688051797_<78>

(47·10⁸⁴+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<85>; = 491 · 964363 · 707107785249157864928047_<24> · 15597237965996177607070771753015423053410932512543077_<53>

(47·10⁸⁵+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<86>; = 3² · 4586239211293142122925378909_<28> · 1265191122502831072726102969843072108115903540247176562167_<58>

(47·10⁸⁶+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<87>; = 23 · 1217 · 3880065761011143886777066163633197_<34> · 4808369658003409134255315014548143730416241015001_<49> (Makoto Kamada / GGNFS-0.70.1 / 0.18 hours)

(47·10⁸⁷+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<88>; = 3011 · 37589 · 26021561678881_<14> · 44053899788172010794661_<23> · 40250020345348789547774664260660178154168393_<44>

(47·10⁸⁸+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<89>; = 3 · 7 · 113 · 333367 · 156619783 · 12567211729151_<14> · 33538949340710063970358261071370566130998762042426013481609_<59>

(47·10⁸⁹+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<90>; = 129097 · 9841747 · 1606377925972830739357_<22> · 255869944089166828076492634832916576558668529679475220429_<57>

(47·10⁹⁰+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<91>; = 53 · 167² · 689432682565688227119653335131584897027_<39> · 5124537426538733780375773162409200851874812253_<46> (Makoto Kamada / GGNFS-0.70.3 / 0.32 hours)

(47·10⁹¹+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<92>; = 3 · 19 · 61 · 7823 · 6092292967_<10> · 1330699681561_<13> · 8123474317297066942475957_<25> · 29152424768260575901483934420090966443_<38>

(47·10⁹²+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<93>; = 29 · 31 · 136319 · 36040799668946614913318813799752485788677_<41> · 118234670855865483269851426356535458437944771_<45> (Makoto Kamada / GGNFS-0.70.3 / 0.22 hours)

(47·10⁹³+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<94>; = 613 · 156683 · 54371710470303946919624594435193560645883677271363252676568048981914535766741317752613_<86>

(47·10⁹⁴+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<95>; = 3⁴ · 7 · 1787659 · 82858151 · 23693451093917147649705461_<26> · 26243638648461145373073094180142104390873384325538869_<53>

(47·10⁹⁵+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<96>; = 57901 · 9019226303901870817813547645502188601616936188014407734274403243851094492706900091919348927_<91>

(47·10⁹⁶+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<97>; = 389 · 4206435979_<10> · 314520407297238488145103_<24> · 1515246989452334356704611_<25> · 6696674723373267825940672558562389849_<37>

(47·10⁹⁷+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<98>; = 3 · 179 · 1341309527994725764879_<22> · 133903636315265687103884800703063_<33> · 541451650894428102830726193034596079853123_<42> (Makoto Kamada / msieve 0.81 / 4.8 minutes)

(47·10⁹⁸+43)/9 =: 522222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<99>; = 17² · 2237 · 2238361 · 85481003 · 169748266147_<12> · 50599425385139_<14> · 491519610713968805441393847651163802173731210775323901_<54>

(47·10⁹⁹+43)/9 =: 5222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<100>; = 2339 · 107400071 · 69587549325743_<14> · 32437373351849860906181297831771_<32> · 9209654469666101242038500338456409450362411_<43> (Makoto Kamada / msieve 0.81 / 9.1 minutes)

(47·10¹⁰⁰+43)/9 =: 52222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227_<101>; = 3 · 7 · 5231 · 873261106200633643_<18> · 544386336057948778727673835141111149817003135375568098992026485677491471546939_<78>

(47·10¹⁰¹+43)/9 =: 5(2)₁₀₀7_<102>; = 71 · 3821 · 4271 · 14771 · 47820476941_<11> · 452770150238017_<15> · 1409252460797124866759477850787343328970859692500239544883906961_<64>

(47·10¹⁰²+43)/9 =: 5(2)₁₀₁7_<103>; = 563 · 641 · 31091 · 465429850389247069981470629725397363593449863539526423675681973658297353253744516583634184859_<93>

(47·10¹⁰³+43)/9 =: 5(2)₁₀₂7_<104>; = 3² · 53 · 223 · 490944169202341072493651674067388876876425174363522221491028778729373816380613345951643043895631537_<99>

(47·10¹⁰⁴+43)/9 =: 5(2)₁₀₃7_<105>; = 45833 · 88069 · 33003349 · 7476735855101_<13> · 6854356006582324215140171163499_<31> · 76492224569676157946026642143119180720021501_<44> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3208813675 for P31 / Mar 13, 2009)

(47·10¹⁰⁵+43)/9 =: 5(2)₁₀₄7_<106>; = 59 · 443 · 144099361703155963331_<21> · 76828784511269150377266679_<26> · 1867979415833397613567543529_<28> · 9661432076017727027982691351_<28>

(47·10¹⁰⁶+43)/9 =: 5(2)₁₀₅7_<107>; = 3 · 7 · 2543 · 3779 · 145555231 · 4076948098231_<13> · 436063565146205624168442596506109940892369062088560111151981729955768830327211_<78>

(47·10¹⁰⁷+43)/9 =: 5(2)₁₀₆7_<108>; = 31 · 701 · 62137 · 7016921 · 369582534641_<12> · 525243424911167372330852370199139310317_<39> · 283927006766355846705918825636220747535093_<42> (Makoto Kamada / Msieve-1.39 for P39 x P42 / 9 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Mar 15, 2009)

(47·10¹⁰⁸+43)/9 =: 5(2)₁₀₇7_<109>; = 23 · 1613 · 120139396391804612670737017027_<30> · 1171676446007567366991184545136883332577280944231358057678421315957539185299_<76> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2746368331 for P30 / Mar 13, 2009)

(47·10¹⁰⁹+43)/9 =: 5(2)₁₀₈7_<110>; = 3 · 19 · 10916180773_<11> · 634745257924056613731410539_<27> · 132224005365904091305532211174815561928541078891399550705006034052159213_<72>

(47·10¹¹⁰+43)/9 =: 5(2)₁₀₉7_<111>; = 135135379 · 541463383 · 118507970789717_<15> · 1108519390429029639988988110484727384409_<40> · 54328327579033850754065089115713480091587_<41> (Makoto Kamada / Msieve-1.39 for P40 x P41 / 10 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Mar 15, 2009)

(47·10¹¹¹+43)/9 =: 5(2)₁₁₀7_<112>; = 1583 · 8483699246273473787_<19> · 20563788999704702751348942468709_<32> · 18909760596300166302687932434463976442247508762236338683643_<59> (Andreas Tete / Yafu v1.06 / Mar 15, 2009)

(47·10¹¹²+43)/9 =: 5(2)₁₁₁7_<113>; = 3² · 7 · 750287886499_<12> · 1104808137214408297615689375194399170409795175905329488489388655145220686545189721577679743801250671_<100>

(47·10¹¹³+43)/9 =: 5(2)₁₁₂7_<114>; = 78761633 · 102545767741_<12> · 306120617693954339649202764257_<30> · 211217702647305563342825378859773895002068357190800694284609830287_<66> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=1313011136 for P30 / Mar 13, 2009)

(47·10¹¹⁴+43)/9 =: 5(2)₁₁₃7_<115>; = 17 · 1129 · 217690804652865617561647456806370878599153369_<45> · 1249891747297204550590383589450639722047981968436979229406865298531_<67> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 2.61 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Mar 15, 2009)

(47·10¹¹⁵+43)/9 =: 5(2)₁₁₄7_<116>; = 3 · 67 · 109 · 191 · 289307599580437389286466005391800602139333155100951_<51> · 43135971538668027066686811497458559892059332937372918510383_<59> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 2.07 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Mar 15, 2009)

(47·10¹¹⁶+43)/9 =: 5(2)₁₁₅7_<117>; = 53 · 311 · 3685081937763363023441186298874982289878764245745070221_<55> · 8597495180320429810468301518681351153843577630984803856789_<58> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 2.54 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Mar 16, 2009)

(47·10¹¹⁷+43)/9 =: 5(2)₁₁₆7_<118>; = 499 · 342962051 · 7647589903293249505361_<22> · 3990103343310419717263886228767581955233554969549871860377331453007148277327818935643_<85>

(47·10¹¹⁸+43)/9 =: 5(2)₁₁₇7_<119>; = 3 · 7² · 107 · 594533520379_<12> · 130566427688869751_<18> · 42770701025330726809466788082700892630623356459269409441890254701264193227830285308847_<86>

(47·10¹¹⁹+43)/9 =: 5(2)₁₁₈7_<120>; = 2659 · 2703859 · 72636175746849075587152970767315499523498967575183776677371026041112817999886775316517019826988548568702565867_<110>

(47·10¹²⁰+43)/9 =: 5(2)₁₁₉7_<121>; = 29 · 1818469 · 10512581 · 199390016929651_<15> · 669351546860507827_<18> · 5291369704124547181_<19> · 13338786016612358425761650808796198927963872849064462891_<56>

(47·10¹²¹+43)/9 =: 5(2)₁₂₀7_<122>; = 3³ · 181 · 197 · 3079 · 668861027 · 934380757 · 587455999345399754749625762418451209379317133_<45> · 47984610496102341660255252672803946541711790573741_<50> (Sinkiti Sibata / Msieve 1.39 for P45 x P50 / 3.17 hours / Mar 15, 2009)

(47·10¹²²+43)/9 =: 5(2)₁₂₁7_<123>; = 31 · 3553753901649698354047921541097460083255890435040418905481_<58> · 4740305210324396166746716284276132282091713424142937278623424357_<64> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m snfs / 1.59 hours / Mar 22, 2009)

(47·10¹²³+43)/9 =: 5(2)₁₂₂7_<124>; = 509 · 25126245780760049_<17> · 480265043938672706827_<21> · 3160617044744306733169_<22> · 3513917189884218818443_<22> · 76553593972323303914242108483739948839783_<41>

(47·10¹²⁴+43)/9 =: 5(2)₁₂₃7_<125>; = 3 · 7 · 7499 · 90904447 · 137142002357_<12> · 165310865835667_<15> · 160907276564706947243534005972947599456315595740782868715905749905636535066750959488741_<87>

(47·10¹²⁵+43)/9 =: 5(2)₁₂₄7_<126>; = 373 · 167086637 · 1923997579982653927_<19> · 1380961715005739113447_<22> · 13260328349213592445481919987323_<32> · 237828754004283088029183553337489188987013321_<45> (Makoto Kamada / Msieve-1.39 for P32 x P45 / 4 min on Athlon 4850e 2.5GHz, 2GB, Vista 32bit, Cygwin / Mar 15, 2009)

(47·10¹²⁶+43)/9 =: 5(2)₁₂₅7_<127>; = definitely prime number

(47·10¹²⁷+43)/9 =: 5(2)₁₂₆7_<128>; = 3 · 19 · 3677 · 1180519 · 5480218183412852759479_<22> · 38513769983175479755045242495407203543528511086616822623570821204527875865636949344606264326343_<95>

(47·10¹²⁸+43)/9 =: 5(2)₁₂₇7_<129>; = 97 · 20117 · 228934649 · 1168984817504507478528272239039990451635608832707186900278108152085702743849935330272506815124746462513183050101727_<115>

(47·10¹²⁹+43)/9 =: 5(2)₁₂₈7_<130>; = 53 · 1709 · 39563 · 664394297591_<12> · 11392640902908865486786962808915005513936037420777_<50> · 192529771430516722768552082971149709013406250854830961537511_<60> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.39 gnfs for P50 x P60 / 10.69 hours, 1.07 hours / Mar 17, 2009)

(47·10¹³⁰+43)/9 =: 5(2)₁₂₉7_<131>; = 3² · 7 · 17 · 23 · 7212756821448707_<16> · 1472090378480224021_<19> · 4828567973798463815556023099_<28> · 41350801108805994146750708718619997718989658538761725519228688623_<65>

(47·10¹³¹+43)/9 =: 5(2)₁₃₀7_<132>; = 11137491919_<11> · 39950370666748923637428313257142978450538278038369002709049_<59> · 1173673052829063384478836643948244815409866910460348090878975717_<64> (Erik Branger / GGNFS, Msieve snfs / 3.31 hours / Mar 15, 2009)

(47·10¹³²+43)/9 =: 5(2)₁₃₁7_<133>; = 313 · 541 · 389985959115019_<15> · 66805162715275047378310258081346195204829497_<44> · 1183735708075989040372436812349988192444720219615958206238555847039933_<70> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 8.20 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Mar 16, 2009)

(47·10¹³³+43)/9 =: 5(2)₁₃₂7_<134>; = 3 · 188443 · 2797019 · 237701512526503316094085015925914398939871_<42> · 138939816988084835328310231759557123542468331563336367798939674241466623501737287_<81> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 12.01 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Mar 17, 2009)

(47·10¹³⁴+43)/9 =: 5(2)₁₃₃7_<135>; = 641 · 1091 · 13597 · 19179759098013795972018131_<26> · 33140813277130657263276598717234867_<35> · 86401873769297648431111420569995876592842102131867050272977396093_<65> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 10.58 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Mar 16, 2009)

(47·10¹³⁵+43)/9 =: 5(2)₁₃₄7_<136>; = 1009 · 1436749 · 1224497256592206800729962339_<28> · 2941883444553664147916566056863280701237761715183346787691176035860224740326839623028029463639854373_<100> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=1675325719 for P28 / Mar 15, 2009)

(47·10¹³⁶+43)/9 =: 5(2)₁₃₅7_<137>; = 3 · 7 · 71 · 35024964602429391161785527982711081302630598405246292570236232208063193978686936433415306654743274461584320739250316715105447499813697_<134>

(47·10¹³⁷+43)/9 =: 5(2)₁₃₆7_<138>; = 31 · 149 · 32621 · 51973 · 128113 · 225137369694189736044300833591348660134434473007233_<51> · 2312019757258537421611817790983585370931405479576855830076562217781769_<70> (Ignacio Santos / GGNFS, Msieve snfs / 5.48 hours / Mar 16, 2009)

(47·10¹³⁸+43)/9 =: 5(2)₁₃₇7_<139>; = 13109 · 35591 · 12110497390862521623462778958590913065727_<41> · 924237560545730707810965451625528143183388041524274755116745709326870820529485298305483679_<90> (Erik Branger / GGNFS,Msieve snfs / 9.42 hours / Mar 16, 2009)

(47·10¹³⁹+43)/9 =: 5(2)₁₃₈7_<140>; = 3² · 107144881 · 3107725075060624854707292329_<28> · 17426044561294432395154600690820195526856880875880032692536833230886400240887128330260156800970645588147_<104>

(47·10¹⁴⁰+43)/9 =: 5(2)₁₃₉7_<141>; = 4280527269829_<13> · 5436628033808231654271515377_<28> · 22440289743990388877202844763834580747042102510180076938269673108840150736192853263523303060499903719_<101>

(47·10¹⁴¹+43)/9 =: 5(2)₁₄₀7_<142>; = 1483 · 69431 · 168697 · 397413639277_<12> · 638003272139_<12> · 1185735284339649966048191511084844280663458868561813350255714051026869170899341602822198993927715429625289_<106>

(47·10¹⁴²+43)/9 =: 5(2)₁₄₁7_<143>; = 3 · 7 · 53 · 593977 · 29992464911_<11> · 2633773333457615413724082797762924802507181334627469842150237795909745160392824239442692899213114286385004642897415677264557_<124>

(47·10¹⁴³+43)/9 =: 5(2)₁₄₂7_<144>; = 1256797 · 4843817090846848103800130938749666541_<37> · 85783246430773379911102166695200551942332371371885262915582905035373010589522772606960016182845664651_<101> (Sinkiti Sibata / GGNFS-0.77.1-20050930-pentium4 snfs / 30.82 hours on Pentium 4 2.4GHz, Windows XP and Cygwin / Mar 18, 2009)

(47·10¹⁴⁴+43)/9 =: 5(2)₁₄₃7_<145>; = 613 · 387361322813_<12> · 367649933958155426863_<21> · 337097446652286786149479_<24> · 177455172809556782555880313315611071498434904397242364379041782534995119238532697315179_<87>

(47·10¹⁴⁵+43)/9 =: 5(2)₁₄₄7_<146>; = 3 · 19 · 409 · 8007499 · 10895461 · 217310827265579_<15> · 118149888505080058095358229150269482737407494667378678151101658991924310056916540509723615365498917637495281095359_<114>

(47·10¹⁴⁶+43)/9 =: 5(2)₁₄₅7_<147>; = 17 · 3167 · 222113 · 43670120042607527903573514422978578958277657652692166622413908244814081540011145311312660844251298814059916779080758903266748061955796061_<137>

(47·10¹⁴⁷+43)/9 =: 5(2)₁₄₆7_<148>; = 419 · 1230122762141569_<16> · 384189113824853757332970331_<27> · 185767993337027714455265134749591365614059015697_<48> · 141963574575550541691236928123164412858691879492806034451_<57> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.39 gnfs for P48 x P57 / 6.77 hours, 0.51 hours / Mar 18, 2009)

(47·10¹⁴⁸+43)/9 =: 5(2)₁₄₇7_<149>; = 3³ · 7 · 29 · 67 · 1223 · 21705793 · 2017078085045614618421_<22> · 3980941556193166603838231490318104342696694098555483207_<55> · 667129456521162682500034200289208198670786991776880206997_<57> (Ignacio Santos / GGNFS, Msieve snfs / 17.37 hours / Mar 19, 2009)

(47·10¹⁴⁹+43)/9 =: 5(2)₁₄₈7_<150>; = 18899 · 67213 · 17552377 · 23422179496935183620698773469303266255968364540219214113251495615840020003241245405568634477336735542870495328955587552574224237550573_<134>

(47·10¹⁵⁰+43)/9 =: 5(2)₁₄₉7_<151>; = 2727145965459194563811_<22> · 19980860859580412600002155421_<29> · 95836902710138429482250314097137883855287253881340881515980273605396867485936110801463875255942934917_<101>

(47·10¹⁵¹+43)/9 =: 5(2)₁₅₀7_<152>; = 3 · 61 · 285367334547662416514875531268973891924711596842744383727990285367334547662416514875531268973891924711596842744383727990285367334547662416514875531269_<150>

(47·10¹⁵²+43)/9 =: 5(2)₁₅₁7_<153>; = 23 · 31 · 5977957 · 102954757437537587020286226041931725738471_<42> · 1190053845694343160057405598164702056965447494076340682927117292004770107354365772690735150938069056457_<103> (Erik Branger / GGNFS, Msieve snfs / 33.77 hours / Mar 19, 2009)

(47·10¹⁵³+43)/9 =: 5(2)₁₅₂7_<154>; = 2002540933830131711_<19> · 257352985880137140848352215811551723_<36> · 10133156143982625350749263738927449627185877360057069960197245768769800614330181000523922313277930759_<101> (Erik Branger / GGNFS, Msieve snfs / 37.46 hours / Mar 19, 2009)

(47·10¹⁵⁴+43)/9 =: 5(2)₁₅₃7_<155>; = 3 · 7 · 217015951 · 23192531703414525073_<20> · 1465580419519146912565525021259863883123452963969_<49> · 337121603846980406888182918563839484405915367888409034254610751275644373799801_<78> (Erik Branger / GGNFS, Msieve snfs / 34.14 hours / Mar 25, 2009)

(47·10¹⁵⁵+43)/9 =: 5(2)₁₅₄7_<156>; = 53 · 1123 · 6854419180999669_<16> · 9562893297694897418761_<22> · 1397470491947633752572738006663140974036393_<43> · 95784912349718487411932418288029995627417379622853984198602872452343209_<71> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.39 gnfs for P43 x P71 / 19.11 hours, 1.7 hours / Mar 19, 2009)

(47·10¹⁵⁶+43)/9 =: 5(2)₁₅₅7_<157>; = 337 · 9491 · 51820057 · 113581577204809565513012062452451703276361480125789394032540587489_<66> · 277400789537348018726881092733478275821865326592097829516429044974540705826297_<78> (Ignacio Santos / GGNFS, Msieve snfs / 22.76 hours / Mar 22, 2009)

(47·10¹⁵⁷+43)/9 =: 5(2)₁₅₆7_<158>; = 3² · 863739116053015826056476279862601665119897672463708354914661277_<63> · 6717849206966234942139994623500961571684454208649571846255616026490064023572030489723138698039_<94> (Serge Batalov / Msieve-1.40 snfs / 12.45 hours on Phenom II X4 940/openSUSE/x86_64 / Mar 27, 2009)

(47·10¹⁵⁸+43)/9 =: 5(2)₁₅₇7_<159>; = 78794203 · 1755497309_<10> · 4683159857_<10> · 7659634183609555497295771442887_<31> · 846056773145447297724966039977313403_<36> · 124398285769154514766749143443183592866648996686512845668169766513_<66> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=4217454550 for P31 / Mar 13, 2009) (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3770258788 for P36 / Mar 13, 2009)

(47·10¹⁵⁹+43)/9 =: 5(2)₁₅₈7_<160>; = 447820738433104994589571533297604237016615893_<45> · 11661412199208171450910796477053685957193762778984934328207442349695941331544774427207372189329106930197283990416839_<116> (Sinkiti Sibata / Msieve / 41.14 hours / Mar 17, 2009)

(47·10¹⁶⁰+43)/9 =: 5(2)₁₅₉7_<161>; = 3 · 7² · 7933 · 8447 · 20221633984347885444535430557_<29> · 262169291237271315514433619577782699928665600026245672251420843159362994740833260124237665896821143171811056290731836505063_<123>

(47·10¹⁶¹+43)/9 =: 5(2)₁₆₀7_<162>; = 4556623 · 114607291896262258743420779428586087157577491537531681296043631922637054288279329280087955975779041237825078401751082374429971981930965590574910898317069949_<156>

(47·10¹⁶²+43)/9 =: 5(2)₁₆₁7_<163>; = 17 · 647 · 1730780599_<10> · 348871105549_<12> · 7729793643225467999_<19> · 27181236960521612851267030619_<29> · 3742467261469709148724407201163351359155506495988461409841075472869271805487377473313459683_<91>

(47·10¹⁶³+43)/9 =: 5(2)₁₆₂7_<164>; = 3 · 19 · 59 · 39097 · 307031513422353026269894950420686124016927088828921_<51> · 1293606215378519849799542839583733138204875126738568274252542589532440363745910647106817207149014577563617_<106> (Ignacio Santos / GGNFS, Msieve snfs / 58.14 hours / Mar 16, 2009)

(47·10¹⁶⁴+43)/9 =: 5(2)₁₆₃7_<165>; = 21031 · 56099 · 9480603531462587241575906463236513_<34> · 1925457966905235846156525388783627303_<37> · 24247684792636549715927770946748662555654899363148036016451038975272737398252341068097_<86> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=3007815294 for P34 / Mar 15, 2009) (Andreas Tete / GMP-ECM 6.2.2 B1=1000000, sigma=17151464 for P37 / Apr 11, 2009)

(47·10¹⁶⁵+43)/9 =: 5(2)₁₆₄7_<166>; = 408607631945687_<15> · 87498098515737149_<17> · 375185741102397353852677_<24> · 747911569600002615797277665811193_<33> · 520539491000829199853856616354568242628319249223664432453582703537643233196189_<78> (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=3282226217 for P33 / Mar 14, 2009)

(47·10¹⁶⁶+43)/9 =: 5(2)₁₆₅7_<167>; = 3² · 7 · 641 · 52588790924399884507663649321_<29> · 24590286206000132968921032462752924270133870537385619512966100736156626421856542338161302921468397478168444347560389793391275630841189_<134>

(47·10¹⁶⁷+43)/9 =: 5(2)₁₆₆7_<168>; = 31² · 2087689 · 170986279 · 1522316296623662205761662393236251576308599455066021754647735725398899119762434709509135503161676233647004705916597613144712709370089109340402812237197_<151>

(47·10¹⁶⁸+43)/9 =: 5(2)₁₆₇7_<169>; = 53 · 35103002609891_<14> · 380722889819299_<15> · 7372694257866315121814295661386862425335178679893270564342750675666500504876186019393483573229334627392347269589157111301329067475107583151_<139>

(47·10¹⁶⁹+43)/9 =: 5(2)₁₆₈7_<170>; = 3 · 8572033 · 2460206087289861850132545179847589_<34> · 5947600359084872453635233580884281_<34> · 138783230265768766152371928057610712541819675642385676028172380581542216339866361236637806555397_<96> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=1783504632 for P34 / Mar 15, 2009) (Andreas Tete / Syd`s Databaseworkers with ECM / Jul 26, 2009)

(47·10¹⁷⁰+43)/9 =: 5(2)₁₆₉7_<171>; = 397² · 12821581 · 709741139417_<12> · 2301500138073341378612732863_<28> · 480083270638162015012277626457696051905424961830297_<51> · 329537769239250933349558669210841259940463368184107656991978047362249_<69> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m gnfs for P51 x P69 / 39.86 hours / Mar 24, 2009)

(47·10¹⁷¹+43)/9 =: 5(2)₁₇₀7_<172>; = 71 · 107 · 2089 · 8979542947_<10> · 114778493500585755182261_<24> · 468884816200230898730639219_<27> · 680916503970025330974640724036937266498001351612802550140335937608231155612568159079380218953721932014403_<105>

(47·10¹⁷²+43)/9 =: 5(2)₁₇₁7_<173>; = 3 · 7 · 2423 · 64373 · 106530477041_<12> · 30832106241816221_<17> · 2223523490790922978933773329717835559_<37> · 2183032004907169798835967219091617895808587877255565369566738265988864330167127921846207946304885847_<100> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=4024211974 for P37 / Mar 15, 2009)

(47·10¹⁷³+43)/9 =: 5(2)₁₇₂7_<174>; = 90388236299737203736595896523_<29> · [5777546322405015660288908414817858932872526998188643108740269812721019661590310819817117987276322539822666494675788815649610583379222590816956249_<145>] (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=4040459943 for P29 / Mar 16, 2009) SUBMIT/RESERVE

(47·10¹⁷⁴+43)/9 =: 5(2)₁₇₃7_<175>; = 23² · 20155372881344237249701760518000538181423547561_<47> · 489788788056215750930608840816878998358650966697873970244482403849329672929816622034720262339309577873049188174812546664400683_<126> (Ignacio Santos / GGNFS, Msieve snfs / 101.80 hours / Mar 21, 2009)

(47·10¹⁷⁵+43)/9 =: 5(2)₁₇₄7_<176>; = 3⁴ · 1877 · 33493 · 360257 · 514049 · 1321007 · [41920836665204007277984360755300194289391676075643064066235711326292305875936896298946608785011968191808371726257268069270400046523513226157197921397_<149>] SUBMIT/RESERVE

(47·10¹⁷⁶+43)/9 =: 5(2)₁₇₅7_<177>; = 29 · 22987365934517_<14> · [783372174373810476594582483727966530201125979884764505597296825933875089215697055697007563243322236484513444535019569217726439614653537611031106391724151008459539_<162>] SUBMIT/RESERVE

(47·10¹⁷⁷+43)/9 =: 5(2)₁₇₆7_<178>; = definitely prime number

(47·10¹⁷⁸+43)/9 =: 5(2)₁₇₇7_<179>; = 3 · 7 · 17 · 863 · 4007 · 128341 · 33780314167_<11> · 876020962744520076689221_<24> · [11138158462253729142459693322803952481934053975541044929571857670982506164165959138796589349473921819202601347739619582954834744833_<131>] SUBMIT/RESERVE

(47·10¹⁷⁹+43)/9 =: 5(2)₁₇₈7_<180>; = 691 · 33270563 · 358769123 · 87510242909_<11> · 216588640434293_<15> · 1454757809362813_<16> · 1477969199114640946627_<22> · 1553643766590649854294763980321754406581778678113723707591179808840344052592506772124873967804391919_<100>

(47·10¹⁸⁰+43)/9 =: 5(2)₁₇₉7_<181>; = 14621 · 3983481927532717318727_<22> · 89663444821005601402012216547936097048128670686019094635867968936407886505293646660553076105503403843319802025002240399019197742078992531800178832052272281_<155>

(47·10¹⁸¹+43)/9 =: 5(2)₁₈₀7_<182>; = 3 · 19 · 53 · 67 · 3094835724684298386572815120341122852673816403442738454046575319003_<67> · 83366624838085431210186778249034161471498200759267403583313199233944387222928835815581162767824210168479063087_<110> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 173.15 hours, 2.34 hours / Jul 12, 2009)

(47·10¹⁸²+43)/9 =: 5(2)₁₈₁7_<183>; = 31 · 401 · 724670646436597737957829265930693298467_<39> · 57970708996105002215788203509108410471504630076942583716286001043883185692786443798047081444061638563025160902815892854666009628608598216351_<140> (Robert Backstrom / GGNFS-0.77.1-20060513-pentium-m, Msieve 1.39 snfs / 216.75 hours, 3.15 hours / Jul 25, 2009)

(47·10¹⁸³+43)/9 =: 5(2)₁₈₂7_<184>; = 11055158827_<11> · 503193962777119_<15> · 1150663435655553228943_<22> · [815843067226594050106286024971735408180392005009792532053622523988240311120389407049584548118383206806660699084251025625633427654990978153_<138>] SUBMIT/RESERVE

(47·10¹⁸⁴+43)/9 =: 5(2)₁₈₃7_<185>; = 3² · 7 · 279451 · 231213856876787_<15> · 239819390046830205403789_<24> · [53494727390486528159008212992264147716531380622810545191107714510711021592241991090347038717976059086505789281486130242482650977302773665153_<140>] SUBMIT/RESERVE

(47·10¹⁸⁵+43)/9 =: 5(2)₁₈₄7_<186>; = 229 · 3491 · 90531918101_<11> · 1051214803056230471_<19> · 6863992930437677889628675426600336157870379059207701309535365107653200079230089106806703365559404893286428308733006002253857815254444453436282043046383_<151>

(47·10¹⁸⁶+43)/9 =: 5(2)₁₈₅7_<187>; = 233 · 331 · 146674690578721_<15> · 461653628084595088832142656386954622169643334172228988862608144987873686096660660634751424732936755986245290974692743343831019396414343817019011833520820185488639602769_<168>

(47·10¹⁸⁷+43)/9 =: 5(2)₁₈₆7_<188>; = 3 · 38693 · 140089637 · 63628775752741_<14> · [50471023653617468139199587062298275205416586046392588725844377575206096957566388952177208292991131834470943220945315532372599724367995875538370841389410439237989_<161>] SUBMIT/RESERVE

(47·10¹⁸⁸+43)/9 =: 5(2)₁₈₇7_<189>; = 4759 · 4973 · 330379219 · 66789541525311832150454206838620615962532729546039258544570207313230704044954018224153708196341334028513316377886413055333748405729194092159836500750168203016032839325981219_<173>

(47·10¹⁸⁹+43)/9 =: 5(2)₁₈₈7_<190>; = 4229 · 15527 · 16249 · 35311 · 55829 · 20581049 · 606170051 · 1410339719_<10> · 12297067394789855226919_<23> · 981354875644372438893894308249_<30> · 11692846518522856896650066130971974113304536609575734325101988145505082809852763906711273609_<92> (Serge Batalov / GMP-ECM 6.2.2 B1=3000000, sigma=3996468663 for P30 / Mar 15, 2009)

(47·10¹⁹⁰+43)/9 =: 5(2)₁₈₉7_<191>; = 3 · 7 · 383 · 3391 · 156482246420594397686381_<24> · [12236139452683547064839218266215609906020244149801382382068279310112166281808519083448306815558126135345182400963954065387615556799465406297599548035042835622659_<161>] SUBMIT/RESERVE

(47·10¹⁹¹+43)/9 =: 5(2)₁₉₀7_<192>; = 3930150317_<10> · [132875890258785290685415334006478465750301789849383570593394741706064425378115180682597342554066545191182880199801330454359367502589652787120666820597391980674774333885159187467847231_<183>] SUBMIT/RESERVE

(47·10¹⁹²+43)/9 =: 5(2)₁₉₁7_<193>; = 2593 · 1386381104643349_<16> · 5782559033599117400228028677_<28> · [251217636838065397512121914577142528361438795839168646581597302834555181762724453575943399977895673671625808024806254661037183581443276457641418043_<147>] SUBMIT/RESERVE

(47·10¹⁹³+43)/9 =: 5(2)₁₉₂7_<194>; = 3² · 217269413 · 500205179 · 250273908257_<12> · 213329290253933463840392088095092068041164608990812736213798840445684371442462972767115745581368144012425329495184851937832612675878556035534435380655410881049305677_<165>

(47·10¹⁹⁴+43)/9 =: 5(2)₁₉₃7_<195>; = 17 · 53 · 709 · 45256927 · 18063390087927216657155026049616546828485108935927411206818848810936209321305708804941333568006651665688342745627458152033822994589574195584953372272209322478850539987481569225591189_<182>

(47·10¹⁹⁵+43)/9 =: 5(2)₁₉₄7_<196>; = 613 · 195913 · 43484213460151359609661126775096255290251245225732894290438672362902488387908560888928568696269292538057806897508683105843959003894021492512895990597402972335285109301747792170710110556383_<188>

(47·10¹⁹⁶+43)/9 =: 5(2)₁₉₅7_<197>; = 3 · 7 · 23 · 962187512459_<12> · 118429099574264458605285767_<27> · [948833640933200693971541283326152052382126651524141002091948289504847798264673087924917134389340755740485601632800033428463083340118679816695438768453535573_<156>] SUBMIT/RESERVE

(47·10¹⁹⁷+43)/9 =: 5(2)₁₉₆7_<198>; = 31 · 17599 · 141439 · 2642323 · 14349126476848080761_<20> · 178494614645407788043582728471595909548036751899374242116189799272467700480502033831811335070840681022463695496326882090419780269969330369758130944968284758915799_<162>

(47·10¹⁹⁸+43)/9 =: 5(2)₁₉₇7_<199>; = 641 · 364699 · 31401269 · 17659164801972619_<17> · 40285187340913785130709639203222280392338079217557312157345952600229447373334762966631296428104011307299219038738669201943342019655870864443549370466384145022006838223_<167>

(47·10¹⁹⁹+43)/9 =: 5(2)₁₉₈7_<200>; = 3 · 19² · 8538683 · 1898669722456957_<16> · 14125786140580013707_<20> · [210559067938940383557543362785650451589686622832212292458818076500843910065552788208618289151168832006143289947790142023331735902523907793690344126850204757_<156>] SUBMIT/RESERVE

(47·10²⁰⁰+43)/9 =: 5(2)₁₉₉7_<201>; = 113 · 853 · 24859327 · 4022503938417172421_<19> · 81661159834850505446996196467_<29> · 14203539304945934778007887162430733_<35> · 46712155440985981607753930130389120385682882442511927976679692258734669248416395002564591942933159986827539_<107> (Erik Branger / GMP-ECM B1=3000000, sigma=1727023116 for P35 / Mar 17, 2009)

(47·10²⁰¹+43)/9 =: 5(2)₂₀₀7_<202>; = 129108452090614888446689_<24> · 725474533595624682624280367_<27> · [55754317286379722382640894499858603362767118159196767070477101497130302761577715297585317261768504288599174489574923624656230772584615397704629515522429_<152>] SUBMIT/RESERVE

(47·10²⁰²+43)/9 =: 5(2)₂₀₁7_<203>; = 3³ · 7² · 300367 · 107920140239581_<15> · [1217701346756849677832461614369668150305153796499875136994942340709341590798737544592199784024468873700362746475285738817638631435199715690066597670379235376457726320383147945532387_<181>] SUBMIT/RESERVE

(47·10²⁰³+43)/9 =: 5(2)₂₀₂7_<204>; = 5113 · [102136167068692005128539452810917704326661885824803876828128735032705304561357759089032314144772584045026837907729752048156116217919464545711367538083751656996327444205402351304952517547862746376339179_<201>] SUBMIT/RESERVE

(47·10²⁰⁴+43)/9 =: 5(2)₂₀₃7_<205>; = 29 · 863819129108120509013_<21> · 643111980148996578244890259_<27> · 324151423804970305631497682874468297048578166461361892570178467128465017499048098970410610699140383840926852178549631010650892395708089353165179507234357089_<156>

(47·10²⁰⁵+43)/9 =: 5(2)₂₀₄7_<206>; = 3 · 5443 · 7003750026347960119117271331499_<31> · [456630716731954861550081011744648001813285612104713833186855865973529237631616772648941325677808854148346608689634701661800058101181470922165493229384713638581703584813937_<171>] (Makoto Kamada / GMP-ECM 6.2.1 B1=1e6, sigma=2878209944 for P31 / Mar 15, 2009) SUBMIT/RESERVE

4. References

A103010 (On-Line Encyclopedia of Integer Sequences)