Home > Math > Factorizations >

Factorizations of 711...119

About 711...119
- First ten terms
- General term
Prime numbers of the form 711...119
Factorizations of 711...119
References

1. About 711...119

First ten terms

79, 719, 7119, 71119, 711119, 7111119, 71111119, 711111119, 7111111119, 71111111119

General term

(64·10ⁿ+71)/9

2. Prime numbers of the form 711...119

Last update

Sep 15, 2010

Searched up to

n≤30000

Difficulty of search

19.54%

Results

(64·10¹+71)/9 = 79 is prime.
(64·10²+71)/9 = 719 is prime.
(64·10⁴+71)/9 = 71119 is prime.
(64·10¹⁷+71)/9 = 7(1)₁₆9_<18> is prime.
(64·10²⁵+71)/9 = 7(1)₂₄9_<26> is prime.
(64·10³²+71)/9 = 7(1)₃₁9_<33> is prime.
(64·10⁵⁰+71)/9 = 7(1)₄₉9_<51> is prime.
(64·10⁷⁴+71)/9 = 7(1)₇₃9_<75> is prime.
(64·10¹⁷³+71)/9 = 7(1)₁₇₂9_<174> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 6, 2005)
(64·10¹⁷²⁴+71)/9 = 7(1)₁₇₂₃9_<1725> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 24, 2006)
(64·10²⁰⁸⁴+71)/9 = 7(1)₂₀₈₃9_<2085> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Ray Chandler / Primo 3.0.9 / Sep 2, 2010)
(64·10¹¹³⁹⁸+71)/9 = 7(1)₁₁₃₉₇9_<11399> is PRP. (Ray Chandler / srsieve, PFGW / Sep 9, 2010)

3. Factorizations of 711...119

Last update

Dec 8, 2011

Completed up to

n≤100 / Jan 6, 2005
n≤150 / Oct 26, 2009

Range

n≤200

Terms which have not been factored yet

n=176, 179, 181, 187, 188, 189, 192, 195, 199, 200 (10/200)

Results

(64·10¹+71)/9 =: 79; = definitely prime number

(64·10²+71)/9 =: 719; = definitely prime number

(64·10³+71)/9 =: 7119; = 3² · 7 · 113

(64·10⁴+71)/9 =: 71119; = definitely prime number

(64·10⁵+71)/9 =: 711119; = 257 · 2767

(64·10⁶+71)/9 =: 7111119; = 3 · 29 · 81737

(64·10⁷+71)/9 =: 71111119; = 17 · 4183007

(64·10⁸+71)/9 =: 711111119; = 19 · 37426901

(64·10⁹+71)/9 =: 7111111119_<10>; = 3 · 7 · 338624339

(64·10¹⁰+71)/9 =: 71111111119_<11>; = 463 · 8861 · 17333

(64·10¹¹+71)/9 =: 711111111119_<12>; = 33871 · 20994689

(64·10¹²+71)/9 =: 7111111111119_<13>; = 3⁵ · 133717 · 218849

(64·10¹³+71)/9 =: 71111111111119_<14>; = 578923 · 122833453

(64·10¹⁴+71)/9 =: 711111111111119_<15>; = 79 · 9001406469761_<13>

(64·10¹⁵+71)/9 =: 7111111111111119_<16>; = 3 · 7 · 23 · 643 · 22897040951_<11>

(64·10¹⁶+71)/9 =: 71111111111111119_<17>; = 1889561 · 37633667879_<11>

(64·10¹⁷+71)/9 =: 711111111111111119_<18>; = definitely prime number

(64·10¹⁸+71)/9 =: 7111111111111111119_<19>; = 3 · 5879 · 403192782849187_<15>

(64·10¹⁹+71)/9 =: 71111111111111111119_<20>; = 59 · 9661867 · 124745359223_<12>

(64·10²⁰+71)/9 =: 711111111111111111119_<21>; = 43 · 83 · 157 · 1269086616549643_<16>

(64·10²¹+71)/9 =: 7111111111111111111119_<22>; = 3² · 7 · 587 · 2969 · 4483 · 42787 · 337651

(64·10²²+71)/9 =: 71111111111111111111119_<23>; = 78607 · 1299709 · 696033457813_<12>

(64·10²³+71)/9 =: 711111111111111111111119_<24>; = 17 · 275309 · 151938604838480123_<18>

(64·10²⁴+71)/9 =: 7111111111111111111111119_<25>; = 3 · 2370370370370370370370373_<25>

(64·10²⁵+71)/9 =: 71111111111111111111111119_<26>; = definitely prime number

(64·10²⁶+71)/9 =: 711111111111111111111111119_<27>; = 19² · 379 · 30650356207_<11> · 169572540443_<12>

(64·10²⁷+71)/9 =: 7111111111111111111111111119_<28>; = 3 · 7² · 79 · 3169 · 167611 · 1152837996888257_<16>

(64·10²⁸+71)/9 =: 71111111111111111111111111119_<29>; = 628135723 · 113209786527474908653_<21>

(64·10²⁹+71)/9 =: 711111111111111111111111111119_<30>; = 22640467 · 31408853497196462913557_<23>

(64·10³⁰+71)/9 =: 7111111111111111111111111111119_<31>; = 3² · 509 · 6551 · 236957016652513483233749_<24>

(64·10³¹+71)/9 =: 71111111111111111111111111111119_<32>; = 23810901623_<11> · 2986493843745158843753_<22>

(64·10³²+71)/9 =: 711111111111111111111111111111119_<33>; = definitely prime number

(64·10³³+71)/9 =: 7111111111111111111111111111111119_<34>; = 3 · 7 · 6043 · 56035799871642995919017762473_<29>

(64·10³⁴+71)/9 =: 71111111111111111111111111111111119_<35>; = 29 · 168408716659_<12> · 14560453451222487591929_<23>

(64·10³⁵+71)/9 =: 711111111111111111111111111111111119_<36>; = 951343 · 747481309171467190183888577633_<30>

(64·10³⁶+71)/9 =: 7111111111111111111111111111111111119_<37>; = 3 · 2370370370370370370370370370370370373_<37>

(64·10³⁷+71)/9 =: 71111111111111111111111111111111111119_<38>; = 23 · 97 · 293 · 311 · 5087 · 52780591 · 1302788446350197539_<19>

(64·10³⁸+71)/9 =: 711111111111111111111111111111111111119_<39>; = 5567696117_<10> · 127720891400638040804753049907_<30>

(64·10³⁹+71)/9 =: 7111111111111111111111111111111111111119_<40>; = 3³ · 7 · 17 · 89 · 4497719293_<10> · 86696367697_<11> · 63773974362127_<14>

(64·10⁴⁰+71)/9 =: 71111111111111111111111111111111111111119_<41>; = 79 · 104943929 · 7980347447_<10> · 1074808898881450038847_<22>

(64·10⁴¹+71)/9 =: 711111111111111111111111111111111111111119_<42>; = 43 · 183130729 · 90304165721190341206016481634277_<32>

(64·10⁴²+71)/9 =: 7111111111111111111111111111111111111111119_<43>; = 3 · 179 · 13242292571901510448996482516035588661287_<41>

(64·10⁴³+71)/9 =: 71111111111111111111111111111111111111111119_<44>; = 47 · 673 · 207497 · 6749299 · 11058191 · 145167689700524188013_<21>

(64·10⁴⁴+71)/9 =: 711111111111111111111111111111111111111111119_<45>; = 19 · 3171431 · 11801265922164260120250732424825046371_<38>

(64·10⁴⁵+71)/9 =: 7111111111111111111111111111111111111111111119_<46>; = 3 · 7 · 338624338624338624338624338624338624338624339_<45>

(64·10⁴⁶+71)/9 =: 71111111111111111111111111111111111111111111119_<47>; = 151 · 51977 · 9060440399977105399664307851793223252097_<40>

(64·10⁴⁷+71)/9 =: 711111111111111111111111111111111111111111111119_<48>; = 107 · 269 · 1733 · 156861742867_<12> · 202827286572121_<15> · 448083990495703_<15>

(64·10⁴⁸+71)/9 =: 7111111111111111111111111111111111111111111111119_<49>; = 3² · 419 · 8333774378660377_<16> · 226276365070801212076683668357_<30>

(64·10⁴⁹+71)/9 =: 71111111111111111111111111111111111111111111111119_<50>; = 61 · 15373 · 4917079 · 15422039688213619277014672511448348337_<38>

(64·10⁵⁰+71)/9 =: 711111111111111111111111111111111111111111111111119_<51>; = definitely prime number

(64·10⁵¹+71)/9 =: 7(1)₅₀9_<52>; = 3 · 7 · 4523 · 89959 · 832236890780641311826991602004542591520927_<42>

(64·10⁵²+71)/9 =: 7(1)₅₁9_<53>; = 2936117 · 516082498001909_<15> · 590943933471583_<15> · 79414297288822681_<17>

(64·10⁵³+71)/9 =: 7(1)₅₂9_<54>; = 79 · 491 · 2860181 · 368651005189_<12> · 17386811326313880319827077491019_<32>

(64·10⁵⁴+71)/9 =: 7(1)₅₃9_<55>; = 3 · 359 · 4903 · 74861 · 17988884934194745254541703857370233616294409_<44>

(64·10⁵⁵+71)/9 =: 7(1)₅₄9_<56>; = 17 · 1123 · 90507589 · 41155112279997117957549653695928426973238481_<44>

(64·10⁵⁶+71)/9 =: 7(1)₅₅9_<57>; = 1693 · 475634755935116617697309_<24> · 883093980052165588847877097687_<30>

(64·10⁵⁷+71)/9 =: 7(1)₅₆9_<58>; = 3² · 7 · 169639 · 32175526483_<11> · 9652087820839_<13> · 2142517040348230363012969691_<28>

(64·10⁵⁸+71)/9 =: 7(1)₅₇9_<59>; = 167 · 571 · 794651939443_<12> · 295871330654021357_<18> · 3171794579279687970049117_<25>

(64·10⁵⁹+71)/9 =: 7(1)₅₈9_<60>; = 23 · 49411 · 1208014721_<10> · 4088550065363_<13> · 126690613222519181162039614496401_<33>

(64·10⁶⁰+71)/9 =: 7(1)₅₉9_<61>; = 3 · 4079 · 18061 · 8230037 · 5116867006591_<13> · 714088531320757_<15> · 1069948161427158193_<19>

(64·10⁶¹+71)/9 =: 7(1)₆₀9_<62>; = 83 · 191 · 779621 · 23917940905223567_<17> · 240557381388631934329697635874177089_<36>

(64·10⁶²+71)/9 =: 7(1)₆₁9_<63>; = 19 · 29 · 43² · 3213599079555521399_<19> · 217198719334954932984289502493774274919_<39>

(64·10⁶³+71)/9 =: 7(1)₆₂9_<64>; = 3 · 7 · 967 · 2029483 · 57604169533_<11> · 49206166524356089_<17> · 60874138214741854264821827_<26>

(64·10⁶⁴+71)/9 =: 7(1)₆₃9_<65>; = 277 · 4639073 · 138143048568792895030471_<24> · 400587555017462291632625391680309_<33>

(64·10⁶⁵+71)/9 =: 7(1)₆₄9_<66>; = 661 · 3454307 · 458789090074549371013_<21> · 678831505755975623418800205825064669_<36>

(64·10⁶⁶+71)/9 =: 7(1)₆₅9_<67>; = 3³ · 79 · 217219 · 207568733 · 73941263022895189332427318658276712001945342366309_<50>

(64·10⁶⁷+71)/9 =: 7(1)₆₆9_<68>; = 3217633 · 195552812887_<12> · 5582317552001_<13> · 150805352589323_<15> · 134247311039028186538843_<24>

(64·10⁶⁸+71)/9 =: 7(1)₆₇9_<69>; = 233 · 317797396519_<12> · 169518198788779091061582559_<27> · 56651952109022781542895676783_<29>

(64·10⁶⁹+71)/9 =: 7(1)₆₈9_<70>; = 3 · 7² · 181 · 28387 · 2767829011_<10> · 3401596532147385758688386764870178971253504783711881_<52>

(64·10⁷⁰+71)/9 =: 7(1)₆₉9_<71>; = 1637 · 21517 · 228181 · 451667 · 96291665678563_<14> · 203432588837849404437180390137107671211_<39>

(64·10⁷¹+71)/9 =: 7(1)₇₀9_<72>; = 17 · 2351 · 2031754749181049_<16> · 44054069333190934753_<20> · 198782706552179385179722309316281_<33>

(64·10⁷²+71)/9 =: 7(1)₇₁9_<73>; = 3 · 87703719233310630869707561095731_<32> · 27027022241379282453285160176804032623783_<41> (Makoto Kamada / GGNFS-0.70.1 / 0.07 hours)

(64·10⁷³+71)/9 =: 7(1)₇₂9_<74>; = 240881 · 64366264663_<11> · 22941770411246508466585081_<26> · 199916980265381759780255250737633_<33>

(64·10⁷⁴+71)/9 =: 7(1)₇₃9_<75>; = definitely prime number

(64·10⁷⁵+71)/9 =: 7(1)₇₄9_<76>; = 3² · 7 · 9268400735593_<13> · 9207101155107071_<16> · 1322723889891758680246080344036552338441167671_<46>

(64·10⁷⁶+71)/9 =: 7(1)₇₅9_<77>; = 242813 · 501882127 · 5880249239_<10> · 10426655381_<11> · 10311099523157_<14> · 71742077308723_<14> · 12866016960782281_<17>

(64·10⁷⁷+71)/9 =: 7(1)₇₆9_<78>; = 59 · 134739383 · 89452173733039087826778160237856493208644569126146402515151826642027_<68>

(64·10⁷⁸+71)/9 =: 7(1)₇₇9_<79>; = 3 · 109 · 15496843247_<11> · 1403286902548430743537981975548288541520382462496259430544540216151_<67>

(64·10⁷⁹+71)/9 =: 7(1)₇₈9_<80>; = 79 · 7786326623_<10> · 115605302803143147064034692113815075666509211200730294616368637995807_<69>

(64·10⁸⁰+71)/9 =: 7(1)₇₉9_<81>; = 19 · 57000047831_<11> · 113021444793841_<15> · 5809620830539028968539818833225766771279977292758008931_<55>

(64·10⁸¹+71)/9 =: 7(1)₈₀9_<82>; = 3 · 7 · 23 · 17911 · 53758329499086292693_<20> · 15290607311360467386426303214669360538863275528626804791_<56>

(64·10⁸²+71)/9 =: 7(1)₈₁9_<83>; = 80107 · 346303 · 3839471 · 5751157 · 6662717 · 17423394133163132648134597132296598892152102621747261_<53>

(64·10⁸³+71)/9 =: 7(1)₈₂9_<84>; = 43 · 89 · 185814243823128066660859971547193914583514792555816856835931829399297389890543797_<81>

(64·10⁸⁴+71)/9 =: 7(1)₈₃9_<85>; = 3² · 947 · 834343671372886438004354231034977251098335223643213787529169436948388021953667853_<81>

(64·10⁸⁵+71)/9 =: 7(1)₈₄9_<86>; = 34501 · 817163 · 1150374608381_<13> · 488481317591459240524013_<24> · 4488589008808931051106118115620642713521_<40>

(64·10⁸⁶+71)/9 =: 7(1)₈₅9_<87>; = 352381 · 3793264075719133_<16> · 532000331384874201184219417732765097002595900583826975428716851703_<66>

(64·10⁸⁷+71)/9 =: 7(1)₈₆9_<88>; = 3 · 7 · 17 · 743 · 1061 · 6569 · 483894605523289_<15> · 8074734169991427447409901269_<28> · 984434384838814176326150682997501_<33>

(64·10⁸⁸+71)/9 =: 7(1)₈₇9_<89>; = 6094482683_<10> · 11668112752123987142865938817060235645780915431819450968667410866299956161695293_<80>

(64·10⁸⁹+71)/9 =: 7(1)₈₈9_<90>; = 47 · 1031 · 11159 · 871365115799_<12> · 33759256094469629_<17> · 44705671874364529909591909187928633620939652531194803_<53>

(64·10⁹⁰+71)/9 =: 7(1)₈₉9_<91>; = 3 · 29 · 3767 · 219556835919838255512073_<24> · 98827003684063502541405636596243349716397412906838278496996807_<62>

(64·10⁹¹+71)/9 =: 7(1)₉₀9_<92>; = 487 · 2583699379_<10> · 10879461250151526516209681601307_<32> · 5194683986630539925958659487613618218475404724729_<49> (Makoto Kamada / GGNFS-0.71.1 / 0.28 hours)

(64·10⁹²+71)/9 =: 7(1)₉₁9_<93>; = 79 · 14369 · 13896049676315482811496623699250269_<35> · 45080888865152607597072145124003234578816015971884501_<53> (Makoto Kamada / GGNFS-0.71.1 / 0.30 hours)

(64·10⁹³+71)/9 =: 7(1)₉₂9_<94>; = 3⁴ · 7 · 823 · 15238933379431106806112431421823438384349234445989767532452380119001783193313727493107359_<89>

(64·10⁹⁴+71)/9 =: 7(1)₉₃9_<95>; = 1237 · 7021965621167276163120795871_<28> · 1583219693533019975539892915893_<31> · 5170920760391256592844136077923129_<34> (Makoto Kamada / GGNFS-0.71.1)

(64·10⁹⁵+71)/9 =: 7(1)₉₄9_<96>; = 3271 · 11411 · 140893 · 135220892627541663821390269319979950837040762839452295138130376394675390487777131743_<84>

(64·10⁹⁶+71)/9 =: 7(1)₉₅9_<97>; = 3 · 39607755551509_<14> · 205574129814472863039209688364573_<33> · 291116965892459333744819485822216459446738256306789_<51> (Makoto Kamada / GGNFS-0.71.1 / 0.32 hours)

(64·10⁹⁷+71)/9 =: 7(1)₉₆9_<98>; = 199 · 252788450588417_<15> · 88425693302924147_<17> · 4681063332706526554049_<22> · 3415105854234709752027285968372596595944931_<43>

(64·10⁹⁸+71)/9 =: 7(1)₉₇9_<99>; = 19 · 157² · 129737 · 405499 · 28862298904261050030633781462950581676639479626040677350955960886864286491260293823_<83>

(64·10⁹⁹+71)/9 =: 7(1)₉₈9_<100>; = 3 · 7 · 3169 · 533899721 · 200141078949037355175787776599076812491130496821562156250889206884781271700374734250011_<87>

(64·10¹⁰⁰+71)/9 =: 7(1)₉₉9_<101>; = 107 · 883409 · 4513933 · 166662065092071664271032662458936330633811242878504579551199605907347870626230387444561_<87>

(64·10¹⁰¹+71)/9 =: 7(1)₁₀₀9_<102>; = 3250990037_<10> · 10748647274212289142063536058100292177_<38> · 20350168736847131287336811282510747218369900720674640931_<56> (Dmitry Domanov / GGNFS/msieve snfs / 0.21 hours / Oct 23, 2009)

(64·10¹⁰²+71)/9 =: 7(1)₁₀₁9_<103>; = 3² · 83 · 131 · 4973 · 96661 · 650609 · 95680151929248239126031567439769399_<35> · 2428476477077104646930065495576836863352958526729_<49> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=3609258157 for P35 / Oct 21, 2009)

(64·10¹⁰³+71)/9 =: 7(1)₁₀₂9_<104>; = 17 · 23 · 66093789615165752393_<20> · 2751693471474050155824534775197428207581503146469249404041999230019503032561582513_<82>

(64·10¹⁰⁴+71)/9 =: 7(1)₁₀₃9_<105>; = 43 · 2441 · 60779597906197038232477349_<26> · 1080599779853960078638957931_<28> · 103152208853437019471239535416783555141018846627_<48>

(64·10¹⁰⁵+71)/9 =: 7(1)₁₀₄9_<106>; = 3 · 7 · 79 · 279553 · 1098113083_<10> · 1556874218129_<13> · 29588885954311638825010750721_<29> · 303108220446453147065753901146894804114229343351_<48>

(64·10¹⁰⁶+71)/9 =: 7(1)₁₀₅9_<107>; = 27989197 · 236610307 · 10737751934984566242189044138692881120752663176748204400079947779556380287677167752008419161_<92>

(64·10¹⁰⁷+71)/9 =: 7(1)₁₀₆9_<108>; = 149 · 2339 · 302053 · 7497877613_<10> · 94308608747_<11> · 3163029226797676571139885307_<28> · 3020264170308145724238927614986603646031045922409_<49>

(64·10¹⁰⁸+71)/9 =: 7(1)₁₀₇9_<109>; = 3 · 2423 · 26501 · 2078564053_<10> · 9177060160293301_<16> · 31809917339410821647_<20> · 60837449959568652037520529452732094553722982199943890161_<56>

(64·10¹⁰⁹+71)/9 =: 7(1)₁₀₈9_<110>; = 61 · 373 · 557 · 156943 · 3934974216997_<13> · 14235652818334183_<17> · 425599117867890279241_<21> · 1499621487149585041127524629727315322171363114303_<49>

(64·10¹¹⁰+71)/9 =: 7(1)₁₀₉9_<111>; = 263 · 26627 · 3263947 · 23369324962650232729_<20> · 7510909574716719982765771_<25> · 177246504247138370205423047894103765450735254596920803_<54>

(64·10¹¹¹+71)/9 =: 7(1)₁₁₀9_<112>; = 3² · 7² · 1063 · 219759039920938421747_<21> · 69026978170887387251228335307982486280456171199956685946363234205049622997250084157019_<86>

(64·10¹¹²+71)/9 =: 7(1)₁₁₁9_<113>; = 2089 · 258831403834789_<15> · 2055763608564241_<16> · 2347246175276098609320788530961_<31> · 27255254571196526410558931177234866842025358968139_<50> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=1643172022 for P31 / Oct 21, 2009)

(64·10¹¹³+71)/9 =: 7(1)₁₁₂9_<114>; = 22184452237_<11> · 1016013423673_<13> · 5815924172689_<13> · 5424635641933721018898084301023601237379868694825668235556645613349287310080371_<79>

(64·10¹¹⁴+71)/9 =: 7(1)₁₁₃9_<115>; = 3 · 6043403 · 312207331137311_<15> · 1256294785655679033578446330157700795296545612471346770557050826200011280390008101457905656881_<94>

(64·10¹¹⁵+71)/9 =: 7(1)₁₁₄9_<116>; = 113 · 2213 · 21211 · 15194735937591494639_<20> · 882314275695107060369362713432311583728379761007298543036085648804352494990974714057319_<87>

(64·10¹¹⁶+71)/9 =: 7(1)₁₁₅9_<117>; = 19 · 13174363 · 17014199 · 166971646569161923964271517153260566308454507185270322892728141548709636854356895973275597346039440873_<102>

(64·10¹¹⁷+71)/9 =: 7(1)₁₁₆9_<118>; = 3 · 7 · 701 · 7515499 · 23743504943_<11> · 4516580461486691478502658597295084017_<37> · 599359992790028012792514906989104429264325175899011050976531_<60> (Sinkiti Sibata / Msieve 1.42 snfs / 0.03 hours, 34 min / Oct 23, 2009)

(64·10¹¹⁸+71)/9 =: 7(1)₁₁₇9_<119>; = 29 · 79 · 132169 · 285724099 · 821932019572174402299264864635126415246051337996670635158413375445438582063914986696404791535136397039_<102>

(64·10¹¹⁹+71)/9 =: 7(1)₁₁₈9_<120>; = 17 · 103311831147289688284420593945175543_<36> · 404891336209507364975901542183933484748064918129084275135374317142656084838015829849_<84> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.42 snfs / 0.86 hours, 0.04 hours / Oct 23, 2009)

(64·10¹²⁰+71)/9 =: 7(1)₁₁₉9_<121>; = 3³ · 25056137 · 39405479110031809_<17> · 1909784723324945661063074631191_<31> · 139674960799589269574939897676758027913533545895886397551579842899_<66> (Sinkiti Sibata / Msieve 1.42 snfs / 0.05 hours, 42 min / Oct 23, 2009)

(64·10¹²¹+71)/9 =: 7(1)₁₂₀9_<122>; = 151 · 211063 · 15783325583_<11> · 243987992499973_<15> · 67772355062154933597102403_<26> · 8549266670633462043663158436143863695891098912367985732468223519_<64>

(64·10¹²²+71)/9 =: 7(1)₁₂₁9_<123>; = 643 · 1105927077933298773112147917746673578710903749783998617591152583376533609815102816658026611370312770001728011059270779333_<121>

(64·10¹²³+71)/9 =: 7(1)₁₂₂9_<124>; = 3 · 7 · 15583 · 15881 · 105885567595491756562319_<24> · 1136814553249137324245558559567913_<34> · 11367444950762975702690695066334498127534988253058760353619_<59> (Sinkiti Sibata / Msieve 1.42 snfs / 0.10 hours / Oct 23, 2009)

(64·10¹²⁴+71)/9 =: 7(1)₁₂₃9_<125>; = 783406759 · 1633240943_<10> · 4300286476281171151258495079275806409526889381253159_<52> · 12924165284242435730941431622919751804153543973171327793_<56> (Erik Branger / GGNFS, Msieve snfs / 1.42 hours / Oct 23, 2009)

(64·10¹²⁵+71)/9 =: 7(1)₁₂₄9_<126>; = 23 · 43 · 6229581290236951_<16> · 115420331045474554762856537788489816294915245920910957839275653315007677406556883131231476584444832113512221_<108>

(64·10¹²⁶+71)/9 =: 7(1)₁₂₅9_<127>; = 3 · 83875743501839534174392033664726057850617_<41> · 28260499059759562269210391206123758704930814197669847316807229716561932184297190743469_<86> (Sinkiti Sibata / Msieve 1.42 snfs / 0.10 hours / Oct 23, 2009)

(64·10¹²⁷+71)/9 =: 7(1)₁₂₆9_<128>; = 89 · 1871 · 173407609 · 844198155503_<12> · 4562208524902216809121_<22> · 214848908287085834204351_<24> · 2976136447077946730911215228118396077392175696190490343553_<58>

(64·10¹²⁸+71)/9 =: 7(1)₁₂₇9_<129>; = 4493 · 35149 · 219246084445885541879554806930967_<33> · 226366253431612444268772260693243_<33> · 90728669742939326666422767939725447916165155744870994707_<56> (Sinkiti Sibata / Msieve 1.40 snfs / 3.48 hours / Oct 24, 2009)

(64·10¹²⁹+71)/9 =: 7(1)₁₂₈9_<130>; = 3² · 7 · 112874779541446208112874779541446208112874779541446208112874779541446208112874779541446208112874779541446208112874779541446208113_<129>

(64·10¹³⁰+71)/9 =: 7(1)₁₂₉9_<131>; = 17623 · 1060398727_<10> · 529285760455604106923_<21> · 7189492176280222305852205295322472380694428342963877925973235128664183904502851270922244309098893_<97>

(64·10¹³¹+71)/9 =: 7(1)₁₃₀9_<132>; = 79 · 202388962284049_<15> · 9888845853679411_<16> · 46764360192304194761_<20> · 581862092419718718878791_<24> · 165288592361523394034408044298367220914063900550358530549_<57>

(64·10¹³²+71)/9 =: 7(1)₁₃₁9_<133>; = 3 · 40621759 · 15607242535519221001_<20> · 33406633458733228036889158768693_<32> · 111917652785707680031519794663165296371462657267249967130393240919514596279_<75> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=8392278160 for P32 / Oct 23, 2009)

(64·10¹³³+71)/9 =: 7(1)₁₃₂9_<134>; = 97 · 277 · 28460161 · 8090129964135488682227_<22> · 1664789434755203812778700766914906617226821_<43> · 6904524884467902638231307540947107049825316235236603917773_<58> (Erik Branger / GGNFS, Msieve snfs / 4.57 hours / Oct 24, 2009)

(64·10¹³⁴+71)/9 =: 7(1)₁₃₃9_<135>; = 19 · 37426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426900584795321637426901_<134>

(64·10¹³⁵+71)/9 =: 7(1)₁₃₄9_<136>; = 3 · 7 · 17 · 47 · 59 · 71705902740581_<14> · 49396726635866252941349225764082311779594253_<44> · 2027992294691125275972524809223849871442123743225447567390794349798850103_<73> (Erik Branger / GGNFS, Msieve snfs / 4.15 hours / Oct 25, 2009)

(64·10¹³⁶+71)/9 =: 7(1)₁₃₅9_<137>; = 51687107 · 7764721388077_<13> · 177185983145203630336818416417795396555825532853664962624801053099331268885930366046108246795085673477934485111972921_<117>

(64·10¹³⁷+71)/9 =: 7(1)₁₃₆9_<138>; = 4678254969758935869078035834515686537386950155297113_<52> · 152003496112943519578771055918308270279589141828614745466191423566662228372256519561063_<87> (Sinkiti Sibata / Msieve 1.42 snfs / 0.16 hours, 2 hours / Oct 23, 2009)

(64·10¹³⁸+71)/9 =: 7(1)₁₃₇9_<139>; = 3² · 28036976731_<11> · 28181478494309182183203754958030373263861288068567804126488485788447382679040946441984028794681652111049200299388851277572630261_<128>

(64·10¹³⁹+71)/9 =: 7(1)₁₃₈9_<140>; = 5281 · 239412330269029_<15> · 603718932378539_<15> · 17151539975417566189417_<23> · 5431713667106281648079369582893998589007006557290726985410033349833327207000950103137_<85>

(64·10¹⁴⁰+71)/9 =: 7(1)₁₃₉9_<141>; = 4261 · 290870269 · 605275506321521939515134243439_<30> · 4365243825947720194516559610136906553161_<40> · 217152578872431638637153816457693436327459716445307037022729_<60> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=4216795798 for P30 / Oct 21, 2009) (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=3295075564 for P40 / Oct 23, 2009)

(64·10¹⁴¹+71)/9 =: 7(1)₁₄₀9_<142>; = 3 · 7 · 57847 · 30874858832399_<14> · 6510739734848601425260429916535506287_<37> · 29120713619885368879626705765668284768909292908607215351267930881138585180884368345349_<86> (Erik Branger / GGNFS, Msieve snfs / 10.10 hours / Oct 24, 2009)

(64·10¹⁴²+71)/9 =: 7(1)₁₄₁9_<143>; = 2751554361959943194224637967034286786872683258385468032588376648693_<67> · 25843978259785636875135096179738241197288805889331674506170937558923404767283_<77> (Sinkiti Sibata / Msieve 1.42 snfs / 0.35 hours, 3 hours / Oct 23, 2009)

(64·10¹⁴³+71)/9 =: 7(1)₁₄₂9_<144>; = 83 · 569 · 48029 · 8440735094591_<13> · 260544290574278651_<18> · 38598386119083561577_<20> · 17737038422238173702870803_<26> · 208224331793482900332612497824614620817858638843218493642983_<60>

(64·10¹⁴⁴+71)/9 =: 7(1)₁₄₃9_<145>; = 3 · 79 · 94824291949123036529_<20> · 316424068303457826677754891727393376232497022818379144521839253914308783155736208708176631900312387850941965205816148743003_<123>

(64·10¹⁴⁵+71)/9 =: 7(1)₁₄₄9_<146>; = 195178673 · 13433198376877_<14> · 3985975919104421112065980519315938875570010459634054863923_<58> · 6804418311733872599573710011672467323159706487887800210790835847993_<67> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.42 snfs / 7.17 hours, 0.63 hours / Oct 26, 2009)

(64·10¹⁴⁶+71)/9 =: 7(1)₁₄₅9_<147>; = 29 · 43 · 2942688563887_<13> · 20922248714492232747363242068574188327_<38> · 9262289457946675998505921238040544871349507594919771113867620230027339113642857153369700991273_<94> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=5589003022 for P38 / Oct 25, 2009)

(64·10¹⁴⁷+71)/9 =: 7(1)₁₄₆9_<148>; = 3³ · 7 · 23 · 1361 · 34037098252908254717_<20> · 9092679240857687203699489343863_<31> · 1133692009344949981305377259795459982489171_<43> · 3425706994020588576485113095334514017387044260077_<49> (Jo Yeong Uk / GMP-ECM v6.2.3/YAFU v1.10 B1=1000000, sigma=7176917761 for P31, Msieve 1.38 for P43 x P49 / Oct 25, 2009)

(64·10¹⁴⁸+71)/9 =: 7(1)₁₄₇9_<149>; = 178488573881573_<15> · 975169651366129558075327576737355940889743354566764389_<54> · 408551555183519006487997988119774128669000839667774060646809837018531358174074727_<81> (Erik Branger / GGNFS, Msieve snfs / 16.08 hours / Oct 26, 2009)

(64·10¹⁴⁹+71)/9 =: 7(1)₁₄₈9_<150>; = 3371 · 210949602821450937736906292231121658591252183657997956425722667194040673720294011008932397244470813144797125811661557730973334651768350967401694189_<147>

(64·10¹⁵⁰+71)/9 =: 7(1)₁₄₉9_<151>; = 3 · 37589 · 1608992995552909_<16> · 38743674467950353459894799_<26> · 60033171818637036837946345942978850104908263861_<47> · 16850360145293193596749837297116847910388052640299429895407_<59> (Dmitry Domanov / Msieve 1.40 gnfs for P47 x P59 / 7.46 hours / Oct 25, 2009)

(64·10¹⁵¹+71)/9 =: 7(1)₁₅₀9_<152>; = 17 · 358212431 · 11677446604156828991511613941648054726680770822060563851665850514323163323147686189120738133951370836168820583762539219789373449303410872861297_<143>

(64·10¹⁵²+71)/9 =: 7(1)₁₅₁9_<153>; = 19 · 2131 · 5581 · 2583903677_<10> · 964660848422868911_<18> · 244287028094134326208459_<24> · 3928758742686927379474311715139_<31> · 1315472132328471305168939778776883400661078541357517237138695553_<64> (Sinkiti Sibata / Msieve 1.42 for P31 x P64 / 3.33 hours / Oct 23, 2009)

(64·10¹⁵³+71)/9 =: 7(1)₁₅₂9_<154>; = 3 · 7² · 107 · 5851141 · 28626107 · 28548860107_<11> · 5614634034614379921533744369479856200331498912590870991988599_<61> · 16839270432055405826800110526516344410089090140539090333981785021_<65> (Jo Yeong Uk / GGNFS/Msieve v1.39 snfs / 12.25 hours on Core 2 Quad Q6700 / Nov 9, 2009)

(64·10¹⁵⁴+71)/9 =: 7(1)₁₅₃9_<155>; = 1439 · 2459767 · 2121885010361_<13> · 2494402352609_<13> · 57270251493806848907_<20> · 66277368592466783085694466718186996227008170748484058005125841806856783072233478466122305037649308941_<101>

(64·10¹⁵⁵+71)/9 =: 7(1)₁₅₄9_<156>; = 691 · 7564035385832062021823940691_<28> · 168908865277900295698726562237_<30> · 805477513859320397954409438472041141664588107263247189040320906823767329888438067868342821814627_<96> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=1256300703 for P30 / Oct 21, 2009)

(64·10¹⁵⁶+71)/9 =: 7(1)₁₅₅9_<157>; = 3² · 191 · 12568412159_<11> · 1665303397181_<13> · 790909645848014343691_<21> · 1509622802506911568366078614272501_<34> · 3540605850217335430143189930721214149_<37> · 46753583509719466111127548763912412200641_<41> (Jo Yeong Uk / GMP-ECM v6.2.3/YAFU v1.10 B1=1000000, sigma=3636675759 for P34, Msieve 1.38 for P37 x P41 / Oct 23, 2009)

(64·10¹⁵⁷+71)/9 =: 7(1)₁₅₆9_<158>; = 79 · 270163 · 131876297221_<12> · 9964004601390419339148197840705296103238041512903134110631263792189_<67> · 2535618074861695477526155884291998519175671403992482425103587424791058763_<73> (Erik Branger / GGNFS, Msieve snfs / 24.74 hours / Nov 13, 2009)

(64·10¹⁵⁸+71)/9 =: 7(1)₁₅₇9_<159>; = 20101 · 854722403 · 35746022099282295959_<20> · 1157889175911948038595289216846967866506274447159779511756673922787519953752975157703025165727408326405548439630830060497389447_<127>

(64·10¹⁵⁹+71)/9 =: 7(1)₁₅₈9_<160>; = 3 · 7 · 13515917463802804275172361443_<29> · 25053744189487240241386288539482537517375726090911978219425935402286516434012797256062417094440605529951605089727300258244966373073_<131>

(64·10¹⁶⁰+71)/9 =: 7(1)₁₅₉9_<161>; = 409 · 6661 · 1753391088373_<13> · 1499573454106792021219_<22> · 22437023476854580269147714244063_<32> · 442448718735674066576356426651030224417367031247072297310615124493725714251140151237383451_<90> (Lionel Debroux / GMP-ECM 6.2.3 B1=3e6, sigma=954209342 for P32 / Oct 22, 2009)

(64·10¹⁶¹+71)/9 =: 7(1)₁₆₀9_<162>; = 3559 · 199806437513658643189410258811776091910961256282975867128719053417002279042177890168898879210764571821048359401829477693484436951703037682245324841559739002841_<159>

(64·10¹⁶²+71)/9 =: 7(1)₁₆₁9_<163>; = 3 · 417553 · 5773517353_<10> · 8371720212765295829_<19> · 117449026251382651243595735725967207471073902774221378706533303557924466924694218837907899142239070960253092771276014568879787193_<129>

(64·10¹⁶³+71)/9 =: 7(1)₁₆₂9_<164>; = 17317 · 3983219314601855024293_<22> · 2926596419775886455696402127_<28> · 352263585686417009947625473474361679926964334087427008718519445509886562968615398236573102771656864140272680937_<111>

(64·10¹⁶⁴+71)/9 =: 7(1)₁₆₃9_<165>; = 463 · 1381 · 26783 · 41524419862167738684671157137297401113733904482546850750498831196449474208975334516214035263358920576197886660041198796651060269304759920817997561596930931_<155>

(64·10¹⁶⁵+71)/9 =: 7(1)₁₆₄9_<166>; = 3² · 7 · 14550255611_<11> · 7757580523610377150567762595538240548980743231937316108836211945599627590822450984462379292071584455785008965700896753919315604308855433030935782979268483_<154>

(64·10¹⁶⁶+71)/9 =: 7(1)₁₆₅9_<167>; = 503 · 20117 · 395429341 · 210228399327928377239219774246468321235282735719_<48> · 84536835945892939231027778594787388720995315395727328509256533229038199119074887652958622708169064322511_<104> (Sinkiti Sibata / Msieve 1.40 snfs / 45.88 hours on Core i7 2.93GHz,Windows 7 64bit,and Cygwin / Dec 18, 2009)

(64·10¹⁶⁷+71)/9 =: 7(1)₁₆₆9_<168>; = 17² · 43 · 881 · 937 · 299569 · 86607901 · 153596138132883765050497_<24> · 17394861994484594105193852938523974548488066371428661114254546057818040539598702275215459886962645722388364284664691918057_<122>

(64·10¹⁶⁸+71)/9 =: 7(1)₁₆₇9_<169>; = 3 · 15858902404826889065260957_<26> · 149466231007822675943383251236548805157308222750952022921320213857133031330997693140539117344781277652936316702834435141211580852151716011103689_<144>

(64·10¹⁶⁹+71)/9 =: 7(1)₁₆₈9_<170>; = 23 · 61 · 11549 · 23966031393282844036285531597_<29> · 42975927797156758306397330649270731187983431_<44> · 4261024457333070002753304298392271984643501354942246382861680398744526579464959645375737011_<91> (yoshida / GGNFS-0.77.1-20060722-nocona snfs / 149.69 hours / Dec 4, 2009)

(64·10¹⁷⁰+71)/9 =: 7(1)₁₆₉9_<171>; = 19 · 79 · 983 · 5333 · 6959 · 2134644643_<10> · 11878070467_<11> · 121827401943773_<15> · 135701332742834958469_<21> · 30980202590163772491205688889144228641723667380325039000751146176700039292068525248788817897689622946527_<104>

(64·10¹⁷¹+71)/9 =: 7(1)₁₇₀9_<172>; = 3 · 7 · 89 · 3169 · 13007 · 22213393457837291_<17> · 503452988613683137082178402917220700045230336683871910367_<57> · 8253819197369287234887000689355899294985133951114338357693025048094262494665245608004401_<88> (Sinkiti Sibata / Msieve 1.40 snfs / Apr 25, 2010)

(64·10¹⁷²+71)/9 =: 7(1)₁₇₁9_<173>; = 4021 · 337153 · 158556479 · 188086429328935981_<18> · 8071301100515705712881743_<25> · 97882710111745450070186029019_<29> · 338146457983804408117822558114121347_<36> · 6583859148809103810072706544327361794424594066463_<49> (Lionel Debroux / YAFU 1.12, Msieve 1.38 for P36 x P49 / Oct 23, 2009)

(64·10¹⁷³+71)/9 =: 7(1)₁₇₂9_<174>; = definitely prime number

(64·10¹⁷⁴+71)/9 =: 7(1)₁₇₃9_<175>; = 3⁴ · 29² · 313 · 55901 · 95608901194723057602776837_<26> · 10793042222066595549460515589537331_<35> · 92098003468071905859111381565940987793113_<41> · 62776936273569435907428719197579242088430808951832684530486173_<62> (Ignacio Santos / GMP-ECM 6.2.3 B1=11000000, sigma=4121582872 for P35 / Jun 7, 2010) (Dmitry Domanov / Msieve 1.40 gnfs for P41 x P62 / Jun 10, 2010)

(64·10¹⁷⁵+71)/9 =: 7(1)₁₇₄9_<176>; = 68665812753739_<14> · 2027826404804119_<16> · 2350793931400910721259277284747837127552458678627160714287351_<61> · 217245888002564375562334066028071080701424221346819969867478163927052916825420731140509_<87> (Warut Roonguthai / Msieve 1.48 snfs / Oct 16, 2011)

(64·10¹⁷⁶+71)/9 =: 7(1)₁₇₅9_<177>; = 157 · 713751051174382672176933462071_<30> · [6345868250580084125341393354932351454535087932844192871601744554093387743877094751881047408885004457478042992220783529373734993245836836198708477_<145>] (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=3658695545 for P30 / Oct 21, 2009) SUBMIT/RESERVE

(64·10¹⁷⁷+71)/9 =: 7(1)₁₇₆9_<178>; = 3 · 7 · 24235487 · 13972252285433283199080106730446086119029683151171611461268524895923841940482744936148327629588146449227062131601660764000270526382421720031399589313981543855034740528397_<170>

(64·10¹⁷⁸+71)/9 =: 7(1)₁₇₇9_<179>; = 229 · 33350205132654546757222414370710831411_<38> · 9311153207174220903648886531701264110925845510393319781488890048252156953150920948299831365494816188137632384373019136801433203324125922001_<139> (Ignacio Santos / GGNFS, Msieve snfs / 134.74 hours / Nov 17, 2009)

(64·10¹⁷⁹+71)/9 =: 7(1)₁₇₈9_<180>; = 1002902200903_<13> · 7677598721171_<13> · 1331946138355060909_<19> · [69337281073878712502090589607156557310264897509650489387341943060519253156849263853492706729382434986520506050023359429017477917389306607_<137>] SUBMIT/RESERVE

(64·10¹⁸⁰+71)/9 =: 7(1)₁₇₉9_<181>; = 3 · 4831 · 8746165547824009_<16> · 15331798201103457848648098996141043747_<38> · 3659050340951278367684833209518452672986033204604245976932960723371537497604270377883957856875975472260711444414475500913121_<124> (Ignacio Santos / GMP-ECM 6.3 B1=3000000, sigma=398045296 for P38 / May 22, 2011)

(64·10¹⁸¹+71)/9 =: 7(1)₁₈₀9_<182>; = 47 · 431 · 25643 · 275593 · 7343587 · [67642099252853219290997913164855122539493584903170400431318210505391763010635367345628826025377014324084631036166399411916681240608224537056317100574155864345559_<161>] SUBMIT/RESERVE

(64·10¹⁸²+71)/9 =: 7(1)₁₈₁9_<183>; = 6692581166227727_<16> · 46071223799374333933_<20> · 2306290812733721805180175371069239826703544510766709733675250503762243662676998410433655698454090608587954147834970104474058040749404368595856553509_<148>

(64·10¹⁸³+71)/9 =: 7(1)₁₈₂9_<184>; = 3² · 7 · 17 · 79 · 193 · 293 · 5011 · 17301463376975847179315279150325763_<35> · 17143075290875582464063217144806230401728131829237471188559245402738466206829167056208532345413386033226412355136311495896727090101119163_<137> (Serge Batalov / GMP-ECM 6.2.1 B1=1000000, sigma=238477675 for P35 / Oct 23, 2009)

(64·10¹⁸⁴+71)/9 =: 7(1)₁₈₃9_<185>; = 83 · 8269619 · 79421556871814187372313_<23> · 1304474142765816191974220902770425013794033967982779679466581532528361045088958872228605590385551909389534864944836567552555736743955099980240410309667119_<154>

(64·10¹⁸⁵+71)/9 =: 7(1)₁₈₄9_<186>; = 593707 · 594449 · 4422329046727_<13> · 40284292656009544724056072361587_<32> · 9116432441824664823352631671213357_<34> · 13226685334951086277235559910788997247553626789_<47> · 93796786332729755561282648937916873301551400163929_<50> (Serge Batalov / GMP-ECM B1=1000000, sigma=1330655251 for P32 / Oct 23, 2009) (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=630455973 for P34 / Oct 30, 2009) (Sinkiti Sibata / Msieve 1.40 for P47 x P50 / 4.93 hours / Oct 31, 2009)

(64·10¹⁸⁶+71)/9 =: 7(1)₁₈₅9_<187>; = 3 · 109 · 3527800058195301401987694858738253841359278843815495535890073943442102681_<73> · 6164328136693197517668216069637997130903302377698948344739122252464657975521632190630163982737623010865444415137_<112> (Dmitry Domanov / GGNFS/msieve snfs / 242.25 hours / Dec 7, 2009)

(64·10¹⁸⁷+71)/9 =: 7(1)₁₈₆9_<188>; = 7275715586058467200945112931785663485369_<40> · [9773761806656149658840124430630023407923748725432364869224515384214314070359484134600992488023678710746726151284389176767268774084013256015079671751_<148>] (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=3065088127 for P40 / Oct 26, 2009) SUBMIT/RESERVE

(64·10¹⁸⁸+71)/9 =: 7(1)₁₈₇9_<189>; = 19 · 43 · 877 · 1115835163_<10> · 816524830960981_<15> · [1089297169544361913854238911483200520403960850345241838987944858594334811025121924073771727461498383614662698899409276298867194596910825185248293212549784015997_<160>] SUBMIT/RESERVE

(64·10¹⁸⁹+71)/9 =: 7(1)₁₈₈9_<190>; = 3 · 7 · 2681370681133667_<16> · 8636921565656771_<16> · 1237074626843194357129_<22> · [11819699584355658650374127117532183497411278956870358270963768690350309003074711889855325144194300308840570165712734517639976817980256963_<137>] SUBMIT/RESERVE

(64·10¹⁹⁰+71)/9 =: 7(1)₁₈₉9_<191>; = 3259 · 61283 · 765993579953719752657598626380268711642431_<42> · 3935639877233342168094874862265446368970829989977490411_<55> · 118106175047403989786770126017144753776537515099194107466677504901292758816309641363747_<87> (Ignacio Santos / GGNFS, Msieve snfs / Sep 28, 2010)

(64·10¹⁹¹+71)/9 =: 7(1)₁₉₀9_<192>; = 23 · 4679 · 836879 · 2933921179417_<13> · 13091425843102805580829_<23> · 182937652835152129282580127640787_<33> · 68614992091044015805000923354037097808067994259428309_<53> · 16377077369425370118739782037546870591923408508914492661553107_<62> (Ignacio Santos / GMP-ECM 6.3 B1=3000000, sigma=362134145 for P33 / May 22, 2011) (Dmitry Domanov / Msieve 1.48 gnfs for P53 x P62 / May 22, 2011)

(64·10¹⁹²+71)/9 =: 7(1)₁₉₁9_<193>; = 3² · 311 · 1031 · 280277 · 4806743 · 99839896217650951145842165249625920643_<38> · [18320335266266791012439557914171006814983673394688523029966625364811299212468460923691346127246320650058578008154628022017960563825665087_<137>] (Ignacio Santos / GMP-ECM 6.3 B1=3000000, sigma=3291329789 for P38 / May 22, 2011) SUBMIT/RESERVE

(64·10¹⁹³+71)/9 =: 7(1)₁₉₂9_<194>; = 59 · 3814081 · 10714885214052715659856253_<26> · 29492257561858170893564809977068898259580732967078770543353459891268557042919932067209452903175237366621609225618053699779330894297236922649930343959479457020737_<161>

(64·10¹⁹⁴+71)/9 =: 7(1)₁₉₃9_<195>; = 42610723 · 11599499337075318630312758466882864636287606842177927799475943478188373221877_<77> · 1438730057851605933434235849805193879091216785535776324930267269861697208435289689441436061693329336717039155889_<112> (Wataru Sakai / Sep 23, 2010)

(64·10¹⁹⁵+71)/9 =: 7(1)₁₉₄9_<196>; = 3 · 7² · 7321 · 17939 · 52792765231_<11> · [6977134299380052590176558196295237119456880628409528220672608752185695604790670027477188183369799006894013741168785815049587959103514125257525402046179282415395275965774376993_<175>] SUBMIT/RESERVE

(64·10¹⁹⁶+71)/9 =: 7(1)₁₉₅9_<197>; = 79 · 151 · 199 · 951479 · 1743704344831_<13> · 57447508796561943545698197920812739_<35> · 1441547467229856384297055789577665003_<37> · 218025928505580376202328902971961398577262489907367184399202397991892061728871011536722870768235076633_<102> (Ignacio Santos / GMP-ECM 6.3 B1=1000000, sigma=3144630333 for P37, B1=11000000, sigma=2491258838 for P35 / May 22, 2011)

(64·10¹⁹⁷+71)/9 =: 7(1)₁₉₆9_<198>; = 2263620241_<10> · 5223485676707_<13> · 3563823316046691599461370812951596210596724579965644217029_<58> · 16875526172287474804314065805503192465709556976082054534341715053031726157242706147130730192280015522602686586474715153_<119> (matsui / Msieve 1.49 snfs / Mar 22, 2011)

(64·10¹⁹⁸+71)/9 =: 7(1)₁₉₇9_<199>; = 3 · 2179 · 650785158455981940062100473969000731_<36> · 1671557573283360183804878381813370410004043685577428419417647214928170607746446482254417566351134107881259634051566957814751822022316355735422517371501836929077_<160> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=68033887 for P36 / Nov 20, 2009)

(64·10¹⁹⁹+71)/9 =: 7(1)₁₉₈9_<200>; = 17 · 6961 · 19173529 · 2226842951_<10> · 529040147689213_<15> · [26603368763468262234616998313790465432678374121818010540868212066594865680286477572140100046562135331658583895780320086329304865072536388063419320999062588424822581_<164>] SUBMIT/RESERVE

(64·10²⁰⁰+71)/9 =: 7(1)₁₉₉9_<201>; = 223 · 110729 · 344481398054643711209_<21> · [83599840464169954018348002342835914547093276718454539697624731528922093033145972135770594809225451846956427417729903603666204320819198505551084156902136654066934769157771873_<173>] SUBMIT/RESERVE

4. References

A103051 - OEIS (The OEIS Foundation Inc.)