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Factorizations of 822...227

About 822...227
- First ten terms
- General term
Prime numbers of the form 822...227
Factorizations of 822...227
References

1. About 822...227

First ten terms

87, 827, 8227, 82227, 822227, 8222227, 82222227, 822222227, 8222222227, 82222222227

General term

(74·10ⁿ+43)/9

2. Prime numbers of the form 822...227

Last update

Sep 19, 2010

Searched up to

n≤30000

Difficulty of search

11.11%

Results

(74·10²+43)/9 = 827 is prime.
(74·10²⁰+43)/9 = 8(2)₁₉7_<21> is prime.
(74·10³³+43)/9 = 8(2)₃₂7_<34> is prime.
(74·10⁶²+43)/9 = 8(2)₆₁7_<63> is prime.
(74·10⁶⁸+43)/9 = 8(2)₆₇7_<69> is prime.
(74·10⁸⁶+43)/9 = 8(2)₈₅7_<87> is prime.
(74·10¹⁹⁵+43)/9 = 8(2)₁₉₄7_<196> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 7, 2005)
(74·10⁵²⁴+43)/9 = 8(2)₅₂₃7_<525> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
(74·10⁵³⁰+43)/9 = 8(2)₅₂₉7_<531> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
(74·10⁶⁵⁷+43)/9 = 8(2)₆₅₆7_<658> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jun 1, 2006)
(74·10¹⁸⁷⁴+43)/9 = 8(2)₁₈₇₃7_<1875> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 10, 2006)
(74·10²¹⁹⁸+43)/9 = 8(2)₂₁₉₇7_<2199> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Ray Chandler / Primo 3.0.9 / Sep 17, 2010)

3. Factorizations of 822...227

Last update

Jan 31, 2012

Completed up to

n≤100 / Jan 7, 2005
n≤150 / Jan 13, 2010

Range

n≤200

Terms which have not been factored yet

n=189, 191, 192, 197, 198, 199 (6/200)

Results

(74·10¹+43)/9 =: 87; = 3 · 29

(74·10²+43)/9 =: 827; = definitely prime number

(74·10³+43)/9 =: 8227; = 19 · 433

(74·10⁴+43)/9 =: 82227; = 3 · 27409

(74·10⁵+43)/9 =: 822227; = 7 · 23 · 5107

(74·10⁶+43)/9 =: 8222227; = 13 · 47 · 13457

(74·10⁷+43)/9 =: 82222227; = 3² · 449 · 20347

(74·10⁸+43)/9 =: 822222227; = 883 · 931169

(74·10⁹+43)/9 =: 8222222227_<10>; = 17 · 821 · 589111

(74·10¹⁰+43)/9 =: 82222222227_<11>; = 3 · 27407407409_<11>

(74·10¹¹+43)/9 =: 822222222227_<12>; = 7 · 38953 · 3015437

(74·10¹²+43)/9 =: 8222222222227_<13>; = 13 · 1637 · 14797 · 26111

(74·10¹³+43)/9 =: 82222222222227_<14>; = 3 · 17123 · 1600619483_<10>

(74·10¹⁴+43)/9 =: 822222222222227_<15>; = 23904407 · 34396261

(74·10¹⁵+43)/9 =: 8222222222222227_<16>; = 1943419 · 4230802633_<10>

(74·10¹⁶+43)/9 =: 82222222222222227_<17>; = 3² · 947 · 9647098700249_<13>

(74·10¹⁷+43)/9 =: 822222222222222227_<18>; = 7² · 16780045351473923_<17>

(74·10¹⁸+43)/9 =: 8222222222222222227_<19>; = 13 · 127 · 1367 · 8089 · 450379679

(74·10¹⁹+43)/9 =: 82222222222222222227_<20>; = 3 · 657281 · 41698158637489_<14>

(74·10²⁰+43)/9 =: 822222222222222222227_<21>; = definitely prime number

(74·10²¹+43)/9 =: 8222222222222222222227_<22>; = 19 · 89 · 18757 · 259228188075221_<15>

(74·10²²+43)/9 =: 82222222222222222222227_<23>; = 3 · 6803 · 12241 · 329117205393083_<15>

(74·10²³+43)/9 =: 822222222222222222222227_<24>; = 7 · 421 · 563 · 797 · 621788031404231_<15>

(74·10²⁴+43)/9 =: 8222222222222222222222227_<25>; = 13 · 7654681 · 82626386714042359_<17>

(74·10²⁵+43)/9 =: 82222222222222222222222227_<26>; = 3³ · 17 · 30132598423_<11> · 5944836858511_<13>

(74·10²⁶+43)/9 =: 822222222222222222222222227_<27>; = 4131961 · 333700603 · 596315372369_<12>

(74·10²⁷+43)/9 =: 8222222222222222222222222227_<28>; = 23 · 103 · 157 · 6206684129_<10> · 3561761648911_<13>

(74·10²⁸+43)/9 =: 82222222222222222222222222227_<29>; = 3 · 257 · 95963665139_<11> · 1111291533463883_<16>

(74·10²⁹+43)/9 =: 822222222222222222222222222227_<30>; = 7 · 29 · 283 · 6579439 · 2175293549692039957_<19>

(74·10³⁰+43)/9 =: 8222222222222222222222222222227_<31>; = 13 · 10739180587_<11> · 58894496405457687517_<20>

(74·10³¹+43)/9 =: 82222222222222222222222222222227_<32>; = 3 · 1451 · 206177 · 91613679688243510974067_<23>

(74·10³²+43)/9 =: 822222222222222222222222222222227_<33>; = 251 · 691 · 137597 · 34453113611989969382351_<23>

(74·10³³+43)/9 =: 8222222222222222222222222222222227_<34>; = definitely prime number

(74·10³⁴+43)/9 =: 82222222222222222222222222222222227_<35>; = 3² · 59 · 154844109646369533375183092697217_<33>

(74·10³⁵+43)/9 =: 822222222222222222222222222222222227_<36>; = 7 · 8883283 · 218638961927_<12> · 60476982745042321_<17>

(74·10³⁶+43)/9 =: 8222222222222222222222222222222222227_<37>; = 13² · 40031029 · 1215362275557701614669726927_<28>

(74·10³⁷+43)/9 =: 82222222222222222222222222222222222227_<38>; = 3 · 13619 · 923642747 · 2178806746946916179880113_<25>

(74·10³⁸+43)/9 =: 822222222222222222222222222222222222227_<39>; = 22108393 · 511539990083_<12> · 72703018697462300233_<20>

(74·10³⁹+43)/9 =: 8222222222222222222222222222222222222227_<40>; = 19 · 449 · 6696339737_<10> · 182731846307_<12> · 787657743004163_<15>

(74·10⁴⁰+43)/9 =: 82222222222222222222222222222222222222227_<41>; = 3 · 287671 · 551063 · 4015149533_<10> · 6317954333_<10> · 6815416697_<10>

(74·10⁴¹+43)/9 =: 822222222222222222222222222222222222222227_<42>; = 7 · 17² · 1557247 · 260997185827153097292318205558667_<33>

(74·10⁴²+43)/9 =: 8222222222222222222222222222222222222222227_<43>; = 13 · 21377 · 1453171 · 20360215874204561942761433209637_<32>

(74·10⁴³+43)/9 =: 82222222222222222222222222222222222222222227_<44>; = 3² · 499 · 7373299 · 161048411 · 15417993754452559923641273_<26>

(74·10⁴⁴+43)/9 =: 822222222222222222222222222222222222222222227_<45>; = 313 · 15767 · 166607982382061417601129187852053642637_<39>

(74·10⁴⁵+43)/9 =: 8222222222222222222222222222222222222222222227_<46>; = 1531 · 5370491327382248348936787865592568401190217_<43>

(74·10⁴⁶+43)/9 =: 82222222222222222222222222222222222222222222227_<47>; = 3 · 149 · 2269 · 36567101 · 13340152759_<11> · 166186544324782824085571_<24>

(74·10⁴⁷+43)/9 =: 822222222222222222222222222222222222222222222227_<48>; = 7 · 14890669 · 696699109 · 15814784593_<11> · 715926477194240989637_<21>

(74·10⁴⁸+43)/9 =: 8222222222222222222222222222222222222222222222227_<49>; = 13 · 3809799293_<10> · 166013635847097753827127562669384032203_<39>

(74·10⁴⁹+43)/9 =: 82222222222222222222222222222222222222222222222227_<50>; = 3 · 23 · 1238801 · 933459416803211_<15> · 1030488456141566018266728053_<28>

(74·10⁵⁰+43)/9 =: 822222222222222222222222222222222222222222222222227_<51>; = 42131 · 63642323 · 306648905874328013768871448108590527579_<39>

(74·10⁵¹+43)/9 =: 8(2)₅₀7_<52>; = 61 · 191 · 29063 · 4957399 · 23148632211238189_<17> · 211595465468709287989_<21>

(74·10⁵²+43)/9 =: 8(2)₅₁7_<53>; = 3³ · 47² · 37201 · 9833362030853_<13> · 3768539635018931978141621085413_<31>

(74·10⁵³+43)/9 =: 8(2)₅₂7_<54>; = 7 · 3168096580849_<13> · 37075990097763984431452747781449919513189_<41>

(74·10⁵⁴+43)/9 =: 8(2)₅₃7_<55>; = 13 · 701 · 1217 · 190352387 · 3894744158318076953250238863052914011801_<40>

(74·10⁵⁵+43)/9 =: 8(2)₅₄7_<56>; = 3 · 6899 · 2134801 · 14794046606282857_<17> · 125787484016944749922387704163_<30>

(74·10⁵⁶+43)/9 =: 8(2)₅₅7_<57>; = 133769 · 4600931189726581_<16> · 1335943193715668087314460248081493743_<37>

(74·10⁵⁷+43)/9 =: 8(2)₅₆7_<58>; = 17 · 19 · 29 · 886307 · 4260457 · 43896167207008985471_<20> · 5295679860224149332289_<22>

(74·10⁵⁸+43)/9 =: 8(2)₅₇7_<59>; = 3 · 122915501064413039_<18> · 4047124664979888083_<19> · 55095320953954977090757_<23>

(74·10⁵⁹+43)/9 =: 8(2)₅₈7_<60>; = 7² · 181 · 53959 · 10702651 · 190068550733_<12> · 844596030213758938772568045893839_<33>

(74·10⁶⁰+43)/9 =: 8(2)₅₉7_<61>; = 13 · 127 · 815022355642281593_<18> · 6110441852242878258613783045927806958889_<40>

(74·10⁶¹+43)/9 =: 8(2)₆₀7_<62>; = 3² · 97 · 103 · 67121 · 29901601 · 455601223431433834492101300945991021179004573_<45>

(74·10⁶²+43)/9 =: 8(2)₆₁7_<63>; = definitely prime number

(74·10⁶³+43)/9 =: 8(2)₆₂7_<64>; = 16655423 · 223056529000561901_<18> · 2213189511879222275509053614766774272449_<40>

(74·10⁶⁴+43)/9 =: 8(2)₆₃7_<65>; = 3 · 26143212559_<11> · 1048356522579402687226087798546878173183253404285929151_<55>

(74·10⁶⁵+43)/9 =: 8(2)₆₄7_<66>; = 7 · 89 · 2972194254986989_<16> · 7760863361576263614947_<22> · 57215531410530366623077403_<26>

(74·10⁶⁶+43)/9 =: 8(2)₆₅7_<67>; = 13 · 632478632478632478632478632478632478632478632478632478632478632479_<66>

(74·10⁶⁷+43)/9 =: 8(2)₆₆7_<68>; = 3 · 87330360234182221873_<20> · 149403806149400411590309_<24> · 2100588784858380890056237_<25>

(74·10⁶⁸+43)/9 =: 8(2)₆₇7_<69>; = definitely prime number

(74·10⁶⁹+43)/9 =: 8(2)₆₈7_<70>; = 101067521 · 169884132054245977_<18> · 478877884780736732431153633048510306384701131_<45>

(74·10⁷⁰+43)/9 =: 8(2)₆₉7_<71>; = 3² · 109 · 83814701551704609808585343753539472193906444670970664854456903386567_<68>

(74·10⁷¹+43)/9 =: 8(2)₇₀7_<72>; = 7 · 23 · 449 · 1789 · 28631 · 4138933 · 1753928831523217_<16> · 30589316449252821226064426173641348757_<38>

(74·10⁷²+43)/9 =: 8(2)₇₁7_<73>; = 13 · 41593 · 15206372045263204833324805435497138427920049827582345073269026818903_<68>

(74·10⁷³+43)/9 =: 8(2)₇₂7_<74>; = 3 · 17 · 1036028110685464433_<19> · 4755338951156640229_<19> · 327239723344427341842846602517258461_<36>

(74·10⁷⁴+43)/9 =: 8(2)₇₃7_<75>; = 641586332566891527225233893661_<30> · 1281545725783517483854118623347059126142570607_<46>

(74·10⁷⁵+43)/9 =: 8(2)₇₄7_<76>; = 19 · 1997 · 2239 · 6907 · 14387447296473309987501260113_<29> · 973935618752394637923352932395538161_<36>

(74·10⁷⁶+43)/9 =: 8(2)₇₅7_<77>; = 3 · 3182351351213_<13> · 8612313469711844095607777726816736632420774617573577410392054293_<64>

(74·10⁷⁷+43)/9 =: 8(2)₇₆7_<78>; = 7 · 8563697 · 13716075832706068455885386587161766736662952631359734039803173496250213_<71>

(74·10⁷⁸+43)/9 =: 8(2)₇₇7_<79>; = 13 · 1861 · 339859555335106114257108346307701493085695127608077634944910603158856785939_<75>

(74·10⁷⁹+43)/9 =: 8(2)₇₈7_<80>; = 3⁴ · 199 · 6818204243_<10> · 174233895049_<12> · 4293865760037220459328261117366173385494528086882805519_<55>

(74·10⁸⁰+43)/9 =: 8(2)₇₉7_<81>; = 6078112269869_<13> · 8560843758933885581_<19> · 15801703975239349103073105030038190733432674610043_<50>

(74·10⁸¹+43)/9 =: 8(2)₈₀7_<82>; = 7229 · 10663 · 39858041 · 104206187 · 25681602626782909365557018145034741422714203763895968389603_<59>

(74·10⁸²+43)/9 =: 8(2)₈₁7_<83>; = 3 · 251 · 363444311 · 390061644241757_<15> · 355483292301771877_<18> · 2166725617167211787886881528787274908421_<40>

(74·10⁸³+43)/9 =: 8(2)₈₂7_<84>; = 7 · 178810749331_<12> · 656897406334808310772406454125702051624720493579135877020269861777762231_<72>

(74·10⁸⁴+43)/9 =: 8(2)₈₃7_<85>; = 13 · 8157754499_<10> · 2428268683446534683_<19> · 31928497921339792051462417829228098599179786601657026287_<56>

(74·10⁸⁵+43)/9 =: 8(2)₈₄7_<86>; = 3 · 29 · 438847 · 851153 · 176928519029_<12> · 14300504116957247473003535096935374645038448346020867954318239_<62>

(74·10⁸⁶+43)/9 =: 8(2)₈₅7_<87>; = definitely prime number

(74·10⁸⁷+43)/9 =: 8(2)₈₆7_<88>; = 2003 · 2262428983_<10> · 119498946433_<12> · 77098212714682631_<17> · 8912521578598310753_<19> · 22096542517194874810923234017_<29>

(74·10⁸⁸+43)/9 =: 8(2)₈₇7_<89>; = 3² · 419 · 10319873507231383443894461121517751069369_<41> · 2112799589394082097119495615223168098976984273_<46> (Makoto Kamada / GGNFS-0.70.3 / 0.22 hours)

(74·10⁸⁹+43)/9 =: 8(2)₈₈7_<90>; = 7 · 17 · 2083 · 3317057339818628683670619792163945110769543855308165833143947289269364330785922946551_<85>

(74·10⁹⁰+43)/9 =: 8(2)₈₉7_<91>; = 13 · 5910051119698757_<16> · 142002574985519861_<18> · 13566047768835624919_<20> · 55552685592804310101541598994909470833_<38>

(74·10⁹¹+43)/9 =: 8(2)₉₀7_<92>; = 3 · 1447 · 3358088992894882661808058242310606123_<37> · 5640365184760691521394304700470989657654102870891189_<52> (Makoto Kamada / GGNFS-0.71.4 / 0.27 hours)

(74·10⁹²+43)/9 =: 8(2)₉₁7_<93>; = 59 · 491 · 3259 · 1201699 · 11033902789397_<14> · 656820188129508985086083308361855222840784069231579606004653289279_<66>

(74·10⁹³+43)/9 =: 8(2)₉₂7_<94>; = 19 · 23 · 1237 · 4254587481655095223_<19> · 693819001526294503793_<21> · 5152694879099981982378151289410256391538596618397_<49>

(74·10⁹⁴+43)/9 =: 8(2)₉₃7_<95>; = 3 · 359 · 1360093291_<10> · 194151879628806579031666465721_<30> · 289110063594426653537502715817389308084391689098347741_<54> (Makoto Kamada / GGNFS-0.71.4 / 0.44 hours)

(74·10⁹⁵+43)/9 =: 8(2)₉₄7_<96>; = 7 · 103 · 1879 · 3389959792969_<13> · 854086002798630179_<18> · 209619178071075313595641789986667143239836969140692130630703_<60>

(74·10⁹⁶+43)/9 =: 8(2)₉₅7_<97>; = 13 · 5449 · 27481 · 97784119958387167_<17> · 43194473668747728533025418559405871209337670050758222011968323683723873_<71>

(74·10⁹⁷+43)/9 =: 8(2)₉₆7_<98>; = 3² · 223 · 263 · 36183863 · 34562039663639_<14> · 124558048297675261905859725261534509530205840339935996059881456361255971_<72>

(74·10⁹⁸+43)/9 =: 8(2)₉₇7_<99>; = 47 · 54924680825753_<14> · 22458901209056001709152440113_<29> · 14181928963916036944131964326611123605683348019840929269_<56>

(74·10⁹⁹+43)/9 =: 8(2)₉₈7_<100>; = 24029 · 3544370163687579213557_<22> · 96541588588617317932955423325681029218721204207604745108973070542893501459_<74>

(74·10¹⁰⁰+43)/9 =: 8(2)₉₉7_<101>; = 3 · 1847 · 590119 · 17688561279064771_<17> · 1421572298086103255072778166182835133554261155375542288987088070450073373403_<76>

(74·10¹⁰¹+43)/9 =: 8(2)₁₀₀7_<102>; = 7³ · 4919762723183489659727316338344631_<34> · 487248973335383552929117110372715275841260298152546474907083414019_<66> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3711801924 for P34 / Dec 31, 2009)

(74·10¹⁰²+43)/9 =: 8(2)₁₀₁7_<103>; = 13 · 127 · 5119 · 115965943 · 23765259704677_<14> · 20926073173729901572101935831_<29> · 16869268058856910143029240511162287586971473763_<47>

(74·10¹⁰³+43)/9 =: 8(2)₁₀₂7_<104>; = 3 · 373 · 449 · 911 · 12081480431726903_<17> · 14868742864966102018271249062735276142824938592053574877315840425962146364127349_<80>

(74·10¹⁰⁴+43)/9 =: 8(2)₁₀₃7_<105>; = 113 · 2381 · 63473 · 238997701 · 54937643946391_<14> · 1895361381348539173_<19> · 3278971105521056942033_<22> · 590023045872464576518214926223057_<33>

(74·10¹⁰⁵+43)/9 =: 8(2)₁₀₄7_<106>; = 17 · 157 · 233 · 38447 · 3202939 · 193169644365641_<15> · 794940670761395896945455375181_<30> · 699197703199521796689781196696001203919180607_<45> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=22842273 for P30 / Dec 31, 2009)

(74·10¹⁰⁶+43)/9 =: 8(2)₁₀₅7_<107>; = 3³ · 54667 · 2116873314691_<13> · 114877201249511949891103932264968054975431_<42> · 229071727043869603925224582993965493773213890543_<48> (shyguy7129 / Msieve v 1.43 for P42 x P48 / 0.97 hours / Jan 5, 2010)

(74·10¹⁰⁷+43)/9 =: 8(2)₁₀₆7_<108>; = 7 · 130485402071797_<15> · 900179756473350592443614228775133708321579471425876582021770193886519395533531669843010385313_<93>

(74·10¹⁰⁸+43)/9 =: 8(2)₁₀₇7_<109>; = 13 · 29497339464411121_<17> · 784268509704243677849320010391144644920717289_<45> · 27339982635292002729380068059752843939450484791_<47> (shyguy7129 / GGNFS + Msieve snfs / 1.02 hours / Jan 6, 2010)

(74·10¹⁰⁹+43)/9 =: 8(2)₁₀₈7_<110>; = 3 · 89 · 1801 · 20068276289_<11> · 30294772897813321283865270641_<29> · 281246070553243791258887139407222298901754501826010203416279715169_<66>

(74·10¹¹⁰+43)/9 =: 8(2)₁₀₉7_<111>; = 1493 · 79284076944785068711_<20> · 6946138335455171680697361275822765998488956303298454409562221346350596030312937823649249_<88>

(74·10¹¹¹+43)/9 =: 8(2)₁₁₀7_<112>; = 19 · 61 · 131 · 167 · 150543994640730959_<18> · 2154044007654894965379901337360758949560520382947904796007062242761755973575678390547471_<88>

(74·10¹¹²+43)/9 =: 8(2)₁₁₁7_<113>; = 3 · 843639601518283_<15> · 23596007504343227_<17> · 622740838487868189148144223_<27> · 2210879765712500912753812786215721232617908917521430263_<55>

(74·10¹¹³+43)/9 =: 8(2)₁₁₂7_<114>; = 7 · 29 · 991 · 282103 · 18778336504880946035741071475940473161_<38> · 771533336700804908322197954254793456917914506464280235510025613353_<66> (Dmitry Domanov / GGNFS/msieve snfs / 1.69 hours / Jan 4, 2010)

(74·10¹¹⁴+43)/9 =: 8(2)₁₁₃7_<115>; = 13² · 347969 · 15476339 · 197858111130331_<15> · 137790602422422567565368599_<27> · 331375395347580620723329565724414016228539327288486522265277_<60>

(74·10¹¹⁵+43)/9 =: 8(2)₁₁₄7_<116>; = 3² · 23 · 2029 · 63823 · 337751 · 2535389 · 356289671 · 686644477270466281019_<21> · 86115423940942724743300993_<26> · 170020876491953838267135237123275676721_<39>

(74·10¹¹⁶+43)/9 =: 8(2)₁₁₅7_<117>; = 383 · 12809 · 2410571 · 6826441 · 26700383 · 13871903049617_<14> · 1743073025633714911_<19> · 15775815699128178147298533612061193458065502852569990779911_<59>

(74·10¹¹⁷+43)/9 =: 8(2)₁₁₆7_<118>; = 962011 · 1450499 · 39429793830019_<14> · 708828056731894402536744253_<27> · 9398618323381730641768137709_<28> · 22431706794172495229719337274954160361_<38>

(74·10¹¹⁸+43)/9 =: 8(2)₁₁₇7_<119>; = 3 · 457 · 253109 · 192953170183_<12> · 1597114124587_<13> · 539590403944176359_<18> · 1424925245818353323429079834571385499319955735617450386695383287175487_<70>

(74·10¹¹⁹+43)/9 =: 8(2)₁₁₈7_<120>; = 7 · 2471107 · 4119109 · 822841703 · 22286071197827_<14> · 629283764220685918873905947514111519030444992897562000913121289432480985107142547087_<84>

(74·10¹²⁰+43)/9 =: 8(2)₁₁₉7_<121>; = 13 · 90650377 · 1269553956681701_<16> · 5495726101875333133840227361751104571947484546605574651686333583736172683869717685348574611224027_<97>

(74·10¹²¹+43)/9 =: 8(2)₁₂₀7_<122>; = 3 · 17 · 677 · 2423 · 149579 · 6570619616373062813095755288849617716308129799757324008289211115930929186228473910381343631958193386024933553_<109>

(74·10¹²²+43)/9 =: 8(2)₁₂₁7_<123>; = 1601 · 1480733 · 264303107 · 333596403336482767205077746590326409311555746697141_<51> · 3933666116837288403672906457639297820824637154552967537_<55> (Dmitry Domanov / GGNFS/msieve snfs / 2.69 hours / Jan 4, 2010)

(74·10¹²³+43)/9 =: 8(2)₁₂₂7_<124>; = 193 · 97279709 · 3112977504602467069_<19> · 4074924652325459665257607190049702305141_<40> · 34523440794078654709989643418772207253160844266294406799_<56> (shyguy7129 / GGNFS + Msieve snfs / 3.51 hours / Jan 8, 2010)

(74·10¹²⁴+43)/9 =: 8(2)₁₂₃7_<125>; = 3² · 56527 · 9247913 · 17476200885331985375903959445886523909991153397779833867732361674147849798591185649913339690832068323407104923853_<113>

(74·10¹²⁵+43)/9 =: 8(2)₁₂₄7_<126>; = 7 · 937 · 1579 · 4425584648553493_<16> · 112425174314349877556497_<24> · 149011934053492335351563025916590727_<36> · 1070814334555987375577783813390101623946643021_<46> (10metreh / Msieve 1.43 for P36 x P46 / 0.53 hours / Jan 4, 2010)

(74·10¹²⁶+43)/9 =: 8(2)₁₂₅7_<127>; = 13 · 571 · 2355433 · 446670061890699161_<18> · 1052815207746489136162341832895728136307332792304531429589436991166466037778963211498871434600726573_<100>

(74·10¹²⁷+43)/9 =: 8(2)₁₂₆7_<128>; = 3 · 1117 · 11423 · 18532939 · 78726293 · 1472212521404489118240463327773434894911298371882724912538336718736534920387765653247470114943334717770637_<106>

(74·10¹²⁸+43)/9 =: 8(2)₁₂₇7_<129>; = 296551 · 4289317 · 28668089118851987462914151712299033_<35> · 22547735302507061867673393899802542097291137847305390440839730761203677804438585657_<83> (Dmitry Domanov / GGNFS/msieve snfs / 3.40 hours / Jan 4, 2010)

(74·10¹²⁹+43)/9 =: 8(2)₁₂₈7_<130>; = 19 · 103 · 673751807 · 363899184247_<12> · 17136311956342298369575523566685519536523886879866129170349085366054825054107620413725570295887146120779359_<107>

(74·10¹³⁰+43)/9 =: 8(2)₁₂₉7_<131>; = 3 · 337 · 127467523793_<12> · 638026188942667241904538045370670581858012459209756753866408922385088400632611473968576030514053018864619307995909649_<117>

(74·10¹³¹+43)/9 =: 8(2)₁₃₀7_<132>; = 7 · 149333 · 37855381 · 343296047365937_<15> · 1179429350957531647903_<22> · 51317681200070836934992491597932011582394062758959883763972382112271801696373522387_<83>

(74·10¹³²+43)/9 =: 8(2)₁₃₁7_<133>; = 13 · 251 · 13415666928915216239568787_<26> · 7919106826897024044301841761594850798720400879737_<49> · 23718305983292022696785626767822845444735028728558665591_<56> (shyguy7129 / GGNFS + Msieve snfs / 5.36 hours / Jan 12, 2010)

(74·10¹³³+43)/9 =: 8(2)₁₃₂7_<134>; = 3³ · 1727919569_<10> · 30166659018593299_<17> · 37094581540358379023019053_<26> · 1574940794734759616000658262603677178722504218316385307550046954234789799894853007_<82>

(74·10¹³⁴+43)/9 =: 8(2)₁₃₃7_<135>; = 3071985965952909748199_<22> · 267651685696153342224160471013253862041916342593770748629630903798621004888988640887239114872255596817805613056373_<114>

(74·10¹³⁵+43)/9 =: 8(2)₁₃₄7_<136>; = 449 · 4217 · 651997 · 45669529 · 75044378623_<11> · 110070956518892203_<18> · 12706928148616070944467498279960841_<35> · 1389426755173826214002677743262542946953286103862151147_<55> (shyguy7129 / Msieve v 1.43 for P35 x P55 / 0.87 hours / Jan 4, 2010)

(74·10¹³⁶+43)/9 =: 8(2)₁₃₅7_<137>; = 3 · 5923 · 9467500191794120028420456168073110680436068244433394101_<55> · 488754647804714726204964751424028492528714561200657189710970719743857232954383_<78> (Lionel Debroux / ggnfs + msieve snfs / 11.32 hours on Core 2 Duo T7200, 2 GB RAM / Jan 4, 2010)

(74·10¹³⁷+43)/9 =: 8(2)₁₃₆7_<138>; = 7 · 17 · 23² · 15226373986850879852133071957170423_<35> · 4318267796207523658841651580738071886199_<40> · 198646314854060505899079076308850016821789807961118616217701_<60> (Dmitry Domanov / Msieve 1.40 snfs / 6.18 hours / Jan 4, 2010)

(74·10¹³⁸+43)/9 =: 8(2)₁₃₇7_<139>; = 13 · 719 · 1229 · 1571 · 1353352211_<10> · 110262873697_<12> · 4086990398676997594303_<22> · 7706580807446631657601_<22> · 96935622117946191427944276842776779176731981948355595076763872099_<65>

(74·10¹³⁹+43)/9 =: 8(2)₁₃₈7_<140>; = 3 · 60324106988204789303369191599641167_<35> · 454335899456686446573378945712529540755761523511116485486220705795811093966398511000945866407508685337727_<105> (Dmitry Domanov / GGNFS/msieve snfs / 10.49 hours / Jan 5, 2010)

(74·10¹⁴⁰+43)/9 =: 8(2)₁₃₉7_<141>; = 174388705891_<12> · 103664314995196139_<18> · 18516411070429207858241975293292867_<35> · 2456318954191112680926313208097615242761555493569854218692893985200227805159569_<79> (shyguy7129 / GGNFS + Msieve snfs / 9.66 hours / Jan 13, 2010)

(74·10¹⁴¹+43)/9 =: 8(2)₁₄₀7_<142>; = 29 · 179 · 8839 · 8042267 · 56079363511354072226934995666735496660795468320866830182075303_<62> · 397331945976411344523716652028361946448997446666067981375263113823_<66> (Sinkiti Sibata / Msieve 1.42 snfs / 5 hours / Jan 4, 2010)

(74·10¹⁴²+43)/9 =: 8(2)₁₄₁7_<143>; = 3² · 9042057786191_<13> · 36325014355399073_<17> · 36143200650229685279191291_<26> · 57260465980354907348600413_<26> · 13439779433074322752735405343116896624426908102922135972829787_<62>

(74·10¹⁴³+43)/9 =: 8(2)₁₄₂7_<144>; = 7² · 6073 · 42989414950190914975702702709_<29> · 667299887294984455260915284539_<30> · 6958857598665762860035952174597_<31> · 13841058792188415585609921019153214420081386935833_<50> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2362052297 for P30 / Dec 31, 2009) (10metreh / Msieve 1.43 for P31 x P50 / 0.94 hours / Jan 4, 2010)

(74·10¹⁴⁴+43)/9 =: 8(2)₁₄₃7_<145>; = 13 · 47 · 127 · 50038674725239427534707754129_<29> · 2117573435575660693994109377922775732170645694026914863570085566478321026184140528426390971138818488391144948479_<112>

(74·10¹⁴⁵+43)/9 =: 8(2)₁₄₄7_<146>; = 3 · 25429114052313073_<17> · 31296837860361416601776690561_<29> · 49351135163655458190418864110697253_<35> · 697813101824218812232039061252163296869260791440045958656813710701_<66> (shyguy7129 / GGNFS + Msieve gnfs for P35 x P66 / 8.14 hours / Jan 10, 2010)

(74·10¹⁴⁶+43)/9 =: 8(2)₁₄₅7_<147>; = 191 · 683 · 34129 · 57709 · 23578463 · 11339316807587_<14> · 66645822738997_<14> · 179594367841067476197254970516749267062305992076169177083332929095605703270553068454592021123148467_<99>

(74·10¹⁴⁷+43)/9 =: 8(2)₁₄₆7_<148>; = 19 · 12919 · 33497061538176012573167314653742232868855835437084596828914663519753534053158026009110295412396357149291423982719137550251250594686008051064007_<143>

(74·10¹⁴⁸+43)/9 =: 8(2)₁₄₇7_<149>; = 3 · 47550579474962969_<17> · 787248436710831348469_<21> · 732150452011417554203116896575978869618349802441898004503922200638844138787742532729150131984397714966399283669_<111>

(74·10¹⁴⁹+43)/9 =: 8(2)₁₄₈7_<150>; = 7 · 1051081 · 1151280841_<10> · 160290420623_<12> · 9273316193849_<13> · 65302689854115847358727194358616631378637545804200345457574301441232141089938419672649698380362290728621162883_<110>

(74·10¹⁵⁰+43)/9 =: 8(2)₁₄₉7_<151>; = 13 · 59 · 29429 · 47583429691695428603_<20> · 264606054159199451533_<21> · 44690814322334344848036672831553_<32> · 647358053137307576945451755044111115705321111809130781994596184699254887_<72> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2372830430 for P32 / Dec 31, 2009)

(74·10¹⁵¹+43)/9 =: 8(2)₁₅₀7_<152>; = 3² · 6180289 · 3126858523_<10> · 472747983759094355458063654975787921325523834133849332143157147057210602851140279479741980125863743075284429991940643189643047667362849_<135>

(74·10¹⁵²+43)/9 =: 8(2)₁₅₁7_<153>; = 22063 · 7301774745095565155180597_<25> · 113779310512601635571262500613611086891_<39> · 1165709861990571049717479662219910188203_<40> · 38480654119933682619017915297832743224250720209_<47> (Sinkiti Sibata / Msieve 1.42 snfs / Mar 31, 2010)

(74·10¹⁵³+43)/9 =: 8(2)₁₅₂7_<154>; = 17 · 89 · 19709 · 275731061506124361348641310788503533491690153270811464180636664735021536999235177926813397398178601836570824002864353884452432000686734291348983031_<147>

(74·10¹⁵⁴+43)/9 =: 8(2)₁₅₃7_<155>; = 3 · 39359 · 696344099377713036596646444457618522000239015407083701501750740806611128519713595553937026027272222551574161117086496288203648654879631276389324103951_<150>

(74·10¹⁵⁵+43)/9 =: 8(2)₁₅₄7_<156>; = 7 · 3512058383_<10> · 319984657455587_<15> · 410343549302453940707121779_<27> · 254713918749042919787715577237227507625786358494351423592728815852703442321590119382100155090502186153779_<105>

(74·10¹⁵⁶+43)/9 =: 8(2)₁₅₅7_<157>; = 13 · 607 · 6659 · 31328364265988731_<17> · 4994711778395545353502059132043171743809945956465053971772475301281451145076409784533626273749318676187459171787751786440243650006993_<133>

(74·10¹⁵⁷+43)/9 =: 8(2)₁₅₆7_<158>; = 3 · 97 · 19724680324676099_<17> · 57399017713636678991_<20> · 249563913691095533854429475568340255470847084784620630565253446619288323505632622712011130069753929387278235725738732533_<120>

(74·10¹⁵⁸+43)/9 =: 8(2)₁₅₇7_<159>; = 3513990839_<10> · 233985306135916827932920579313502934895449288398734559769358073224681569018234490116216897235406316385738939094093131249117130160572459654674194277893_<150>

(74·10¹⁵⁹+43)/9 =: 8(2)₁₅₈7_<160>; = 23 · 2963 · 35851 · 133428367 · 294891489233051550619622763994547_<33> · 85529914762977209039916124668482122357037906570879033296681516103973265276686117900242792235215336596066987577_<110> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3507616133 for P33 / Mar 20, 2010)

(74·10¹⁶⁰+43)/9 =: 8(2)₁₅₉7_<161>; = 3⁴ · 1122037286453_<13> · 44175761661762733_<17> · 2546784281675870099_<19> · 125851200244059980676940779606461017298301111209_<48> · 63894479031178495642403247352432717173022586210911044402822856313_<65> (Dmitry Domanov / Msieve 1.40 gnfs for P48 x P65 / Mar 31, 2010)

(74·10¹⁶¹+43)/9 =: 8(2)₁₆₀7_<162>; = 7 · 5689 · 5010110567206817_<16> · 2483274718635817081_<19> · 46048616532177031226711_<23> · 36038488852483061916665386942966400881592199576178011988438911901235613530421647127099701773825724867_<101>

(74·10¹⁶²+43)/9 =: 8(2)₁₆₁7_<163>; = 13 · 6592622046148165412085001663_<28> · 58349177591171284590174164067341489093587381113739823597_<56> · 1644193550601269975966781806855503918618642860910985484472710331231328804688389_<79> (Sinkiti Sibata / Msieve 1.40 snfs / Apr 4, 2010)

(74·10¹⁶³+43)/9 =: 8(2)₁₆₂7_<164>; = 3 · 103 · 229 · 421 · 580001 · 14563254336937_<14> · 8408605499319598167330389699392390796093576699_<46> · 38859928631174229976817529653437263332765360477773189132360848251821702737334085223608476709_<92> (Sinkiti Sibata / Msieve 1.40 snfs / Apr 4, 2010)

(74·10¹⁶⁴+43)/9 =: 8(2)₁₆₃7_<165>; = 3701 · 83386487 · 3860335632595937009232020302005389505439221614945451141967_<58> · 690159359298072752641851581531530239842409701152866289627616894497618512831304120901227357839263_<96> (Sinkiti Sibata / Msieve 1.40 snfs / Apr 18, 2010)

(74·10¹⁶⁵+43)/9 =: 8(2)₁₆₄7_<166>; = 19 · 37975787 · 1999398061_<10> · 2484788086599794303_<19> · 3774504197635784843162844328968090673423_<40> · 607687483177897586003677182744414088821589110077082856671371722785292100032827707715678751_<90> (Ignacio Santos / GMP-ECM 6.2.3 B1=3000000, sigma=3564957414 for P40 / Apr 3, 2010)

(74·10¹⁶⁶+43)/9 =: 8(2)₁₆₅7_<167>; = 3 · 1464977 · 1552536427739122841742915184682819559001900487524932038441_<58> · 12050230387330546418305570327015959369376441029404519102964108012638023332321734860193118130218222590137_<104> (Sinkiti Sibata / Msieve 1.40 snfs / Apr 18, 2010)

(74·10¹⁶⁷+43)/9 =: 8(2)₁₆₆7_<168>; = 7 · 269 · 449 · 194527 · 157322170761656561086031776135373867039076977719755601556992834657652319641_<75> · 31777719693225292446740279291009822572691632271039155718206894135590956414730059983_<83> (Sinkiti Sibata / Msieve 1.40 snfs / Apr 22, 2010)

(74·10¹⁶⁸+43)/9 =: 8(2)₁₆₇7_<169>; = 13 · 1999 · 9037747 · 4186812323_<10> · 257018670243180989749237_<24> · 4085402298754085576943461_<25> · 2204431640134991547359928355176564224047_<40> · 3612378538299647534271681056988204852126936053374802252017279_<61> (Lionel Debroux / ggnfs-lasieve4I12e + msieve gnfs for P40 x P61 / Mar 30, 2010)

(74·10¹⁶⁹+43)/9 =: 8(2)₁₆₈7_<170>; = 3² · 17 · 29 · 312157432551602546462509093_<27> · 59364402569797270514650271705627927411748856367709053830053448881711871124981467605898699010585727382006315560395846151482625240516737393147_<140>

(74·10¹⁷⁰+43)/9 =: 8(2)₁₆₉7_<171>; = 283 · 17747 · 36919 · 7763051815933_<13> · 1585663981007653_<16> · 6065927690804450361465606177720849629_<37> · 59386403030618650886924018876104769742417165140948380722645830980659521616047031694315824775673_<95> (Serge Batalov / GMP-ECM B1=2000000, sigma=3336052511 for P37 / Mar 30, 2010)

(74·10¹⁷¹+43)/9 =: 8(2)₁₇₀7_<172>; = 61 · 12641 · 2673133277539_<13> · 6591884627983_<13> · 605128675953562290924961172379122315085869695493793472131610844024532737148664284751244867988266026522017322111895769179392386691805551107371_<141>

(74·10¹⁷²+43)/9 =: 8(2)₁₇₁7_<173>; = 3 · 66392657 · 13429252667_<11> · 266482300749258438096924623227_<30> · 115352680807813782043998594673634779958782988258385031458760027853312141358766988047577902625086719681578572540021809527086793_<126> (Serge Batalov / GMP-ECM B1=2000000, sigma=3574070702 for P30 / Mar 30, 2010)

(74·10¹⁷³+43)/9 =: 8(2)₁₇₂7_<174>; = 7 · 931303 · 126124706417049510543249959959666682398167210306761022263925185960227187411036276550507686883281077651760447799975214790801125216455135933544142258169808816590798394787_<168>

(74·10¹⁷⁴+43)/9 =: 8(2)₁₇₃7_<175>; = 13 · 1038014623_<10> · 609315724908272779344533985894177984651068477749790311607660880205762263748454565344434920000619906949646583767325821650426285596246973563716817342445697394219155073_<165>

(74·10¹⁷⁵+43)/9 =: 8(2)₁₇₄7_<176>; = 3 · 1183351805899_<13> · 12375722455055033_<17> · 22844699124843026531_<20> · 81921533636033151164803480751721993634155022461118988415421397257429685965139995798273326141107246557027618482659121521059692217_<128>

(74·10¹⁷⁶+43)/9 =: 8(2)₁₇₅7_<177>; = 3389 · 10303 · 12577 · 711327630493_<12> · 177259221558667_<15> · 1460066058585026027_<19> · 351031014117851077308581_<24> · 30500120411491329172076649994932300832543_<41> · 949902031564208670484766875156336430406092680674786739543_<57> (Robert Backstrom / GGNFS-0.77.1-20060513-nocona, Msieve 1.42 gnfs for P41 x P57 / Apr 1, 2010)

(74·10¹⁷⁷+43)/9 =: 8(2)₁₇₆7_<178>; = 53657777 · 47278255071517142723711531605428482071771252525323687703_<56> · 3241119880039389954960574226792245518352372914979991830436406118199746997206442979707264043141489062646663225267317_<115> (Wataru Sakai / Aug 3, 2010)

(74·10¹⁷⁸+43)/9 =: 8(2)₁₇₇7_<179>; = 3² · 109 · 199 · 1543 · 1525295377_<10> · 7191707069_<10> · 250355682714459897656518357566511699_<36> · 99393458652990480614685611437805137340407848829713175425949394968454644932724468192755707380006062652185350169670913_<116> (Serge Batalov / GMP-ECM B1=2000000, sigma=1773188228 for P36 / Mar 30, 2010)

(74·10¹⁷⁹+43)/9 =: 8(2)₁₇₈7_<180>; = 7 · 180539 · 7852710260061409052524705389654014059991575465049702874418100052087937476883_<76> · 82851535947887391551167297617482168529352552968027508417798465151743927543465347156067880170438453_<98> (Wataru Sakai / Msieve / Apr 10, 2010)

(74·10¹⁸⁰+43)/9 =: 8(2)₁₇₉7_<181>; = 13 · 339827 · 617761397196652073122334627383620146511193048830613841_<54> · 3012778544831090235564927979554755966253462521948625757652866524235151626680672473025692777414541939938159008580672766997_<121> (Ignacio Santos / GGNFS, Msieve snfs / Jul 4, 2010)

(74·10¹⁸¹+43)/9 =: 8(2)₁₈₀7_<182>; = 3 · 23 · 2393 · 12781 · 4556876527368961035770272917453510049550217903154910745044852343064144142621671_<79> · 8549984451538653479168989815874580020915156579671456513985591965851736403399677581980446154781_<94> (matsui / Msieve 1.47 snfs / Sep 22, 2010)

(74·10¹⁸²+43)/9 =: 8(2)₁₈₁7_<183>; = 251 · 661 · 87797 · 7634215896693088513_<19> · 14959820083372637054260295471064095399_<38> · 494246434222322470296690753287208998819442803417769805869494614262157259003186497543207731823046037344939540994914663_<117> (Serge Batalov / GMP-ECM B1=2000000, sigma=4055313798 for P38 / Mar 30, 2010)

(74·10¹⁸³+43)/9 =: 8(2)₁₈₂7_<184>; = 19 · 157 · 25943 · 118717 · 265231 · 525697 · 1335899 · 16489107851_<11> · 291388416375055324747697034737027445399223750072258859086933787040042889994525268087529615590423872353135113479288519373102464926377016244128793_<144>

(74·10¹⁸⁴+43)/9 =: 8(2)₁₈₃7_<185>; = 3 · 409 · 8501 · 26557 · 463791533 · 639989430964687058672687464091745036181099356031458519076629716586245073903483361274191153440523998465761693970738207373041605329857994738748487628858576303413385021_<165>

(74·10¹⁸⁵+43)/9 =: 8(2)₁₈₄7_<186>; = 7² · 17 · 3391 · 28087 · 22061269 · 379751461184464099816667189_<27> · 2039092826114644921054383428071_<31> · 18960662780710917297230895135902845332869167551697_<50> · 31995625887882045270427044298929574896285841199621725679879621_<62> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=3798555 for P31 / Mar 20, 2010) (Dmitry Domanov / Msieve 1.40 gnfs for P50 x P62 / Mar 31, 2010)

(74·10¹⁸⁶+43)/9 =: 8(2)₁₈₅7_<187>; = 13 · 127 · 3539 · 54181 · 85630159 · 303310753234831572664905608351646689694487173136909648230438236207779554583808996932638333048282523461506089512514908492643593473554959249635579895003128324036087815217_<168>

(74·10¹⁸⁷+43)/9 =: 8(2)₁₈₆7_<188>; = 3³ · 1583 · 7573 · 3057591493553658351964542691_<28> · 43797883809430231474763186290037_<32> · 1896898031517953749986023746276536087451844295987395947746575518377672737063335004775440448285872102993169131897926395317_<121> (Serge Batalov / GMP-ECM B1=2000000, sigma=1787594166 for P32 / Mar 30, 2010)

(74·10¹⁸⁸+43)/9 =: 8(2)₁₈₇7_<189>; = 17681 · 1253389607_<10> · 3362709569_<10> · 11033338366502017816873349363519076808555580891046769636296040646599852492097345148561376995730980449664771627760432491130959018525011782086966543644772552121236525349_<167>

(74·10¹⁸⁹+43)/9 =: 8(2)₁₈₈7_<190>; = 1130929 · 4490419 · 15428424736451129160707_<23> · [104941052726140843914256540667919670405951716025429565225644522404912860289206772471529835362153251835659320698362059665882009584238393789988882242295439611_<156>] SUBMIT/RESERVE

(74·10¹⁹⁰+43)/9 =: 8(2)₁₈₉7_<191>; = 3 · 47 · 3852230524592113531094906143469991083495353258933863276711973302616340237_<73> · 151376280337979829873165345713902240812826245485415537958497805070096422614844257189148741585827601897450847868163931_<117> (Robert Backstrom / Msieve 1.42 snfs / Apr 6, 2010)

(74·10¹⁹¹+43)/9 =: 8(2)₁₉₀7_<192>; = 7 · 17038978081_<11> · 951644978730501831979139404673_<30> · [7243903656845516173712561848909043538626972738911595989603109341874342314410358120710822279948159967041400991461275630551313102455608983477078171594997_<151>] (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2309842508 for P30 / Mar 21, 2010) SUBMIT/RESERVE

(74·10¹⁹²+43)/9 =: 8(2)₁₉₁7_<193>; = 13² · 3361 · 4001 · 762479 · 147480970736513_<15> · [32173741440644396085056209347824341112481703756567394023456882480697717780048875654165470206667864100373232832021850797111763566956053973079072349092289692855290389_<164>] SUBMIT/RESERVE

(74·10¹⁹³+43)/9 =: 8(2)₁₉₂7_<194>; = 3 · 2011 · 80491 · 1629264147787_<13> · 330238240235927_<15> · 22759381455886221774201241_<26> · 13369946249548725059790791231936273_<35> · 1034188212863188751866718525522557528138927848166394705692933708106989808155744759812080081520106837_<100> (Makoto Kamada / GMP-ECM 6.2.3 B1=1e6, sigma=2945108367 for P35 / Mar 21, 2010)

(74·10¹⁹⁴+43)/9 =: 8(2)₁₉₃7_<195>; = 149 · 9393289 · 41181957693031964231314021237550922319558776524566796789574514663291_<68> · 14265213287978154121379807465828396741896134838900103859165795197832543266186641122632377405804447967386402085364244477_<119> (Robert Backstrom / Msieve 1.44 snfs / Jan 30, 2012)

(74·10¹⁹⁵+43)/9 =: 8(2)₁₉₄7_<196>; = definitely prime number

(74·10¹⁹⁶+43)/9 =: 8(2)₁₉₅7_<197>; = 3² · 250049 · 913217 · 2557785661_<10> · 300959971889095733_<18> · 756264766892173973230456237696583_<33> · 595016930365620391281978586123309386919385453348359_<51> · 115497215577870654426734941556536631927923425710193392911783696320364456331_<75> (Serge Batalov / GMP-ECM B1=2000000, sigma=1439851700 for P33 / Mar 30, 2010) (Dmitry Domanov / Msieve 1.40 gnfs for P51 x P75 / Apr 5, 2010)

(74·10¹⁹⁷+43)/9 =: 8(2)₁₉₆7_<198>; = 7 · 29² · 89 · 103 · 9923 · 71471 · 404697763 · [53084079305085053299267192017662336342402058666923232766596522406312729392121501025772628224083632320185314929493400177040963022562193380848049094447152442058630534367180197_<173>] SUBMIT/RESERVE

(74·10¹⁹⁸+43)/9 =: 8(2)₁₉₇7_<199>; = 13 · 631 · 3575437 · 10441281749_<11> · [26849336239301407465907470900894923475568624802019386317537624432908275005655023025484899705286440818980187323631045286284980355118545321979673892706855217965009307847491728065993_<179>] SUBMIT/RESERVE

(74·10¹⁹⁹+43)/9 =: 8(2)₁₉₈7_<200>; = 3 · 449 · 1019 · 15470009933727966731_<20> · 1326853791102646337168597_<25> · [2918325757812523490694864259816207081531727964760798076531239746398750083034891642408887685836959229065604699542844293637319134043774697459489358654277_<151>] SUBMIT/RESERVE

(74·10²⁰⁰+43)/9 =: 8(2)₁₉₉7_<201>; = 980510462185560023987982761658988392653_<39> · 1650987817901489015808098379119500846358911152586109619791022294263174957_<73> · 507917421727580051675124043192375761771927175151369875523276622003964424156854967422720187_<90> (Robert Backstrom / Msieve 1.42 snfs / Apr 1, 2010)

4. References

A103076 - OEIS (The OEIS Foundation Inc.)