Factorizations of 877...77

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Since June 16, 2000

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Factorizations of 877...77	2008-11-23(Sun) 23:29

Last update

Nov 23, 2008 23:29 JST

Sequence

8, 87, 877, 8777, 87777, ...

General term

(79·10ⁿ-7)/9

Room for prime numbers

upper limit of periods: 10000
upper limit of periodical factors: 4294967296
checked terms: 100000000
terms divided by periodical factors: 75075235
room for prime numbers: 24.92%

Prime numbers

(79·10²-7)/9 = 877 is prime. (Makoto Kamada / Jun 8, 2003)
(79·10⁹-7)/9 = 8777777777_<10> is prime. (Makoto Kamada / Jun 8, 2003)
(79·10¹⁵-7)/9 = 8(7)₁₅_<16> is prime. (Makoto Kamada / Jun 8, 2003)
(79·10³²-7)/9 = 8(7)₃₂_<33> is prime. (Makoto Kamada / Jun 8, 2003)
(79·10³⁸-7)/9 = 8(7)₃₈_<39> is prime. (Makoto Kamada / Jun 8, 2003)
(79·10⁶⁵-7)/9 = 8(7)₆₅_<66> is prime. (Makoto Kamada / Jun 8, 2003)
(79·10¹²³-7)/9 = 8(7)₁₂₃_<124> is prime. (Makoto Kamada / Jun 8, 2003)
(79·10¹⁷³-7)/9 = 8(7)₁₇₃_<174> is prime. (Makoto Kamada / Jun 8, 2003)
(79·10²⁵⁷-7)/9 = 8(7)₂₅₇_<258> is prime. (Makoto Kamada / Jun 8, 2003)
(79·10³²⁰-7)/9 = 8(7)₃₂₀_<321> is prime. (searched by Makoto Kamada / Jun 8, 2003) (certified by Sander Hoogendoorn / Primo 2.2.0 beta 4 / Jul 10, 2004)
(79·10³²⁶-7)/9 = 8(7)₃₂₆_<327> is prime. (searched by Makoto Kamada / Jun 8, 2003) (certified by Sander Hoogendoorn / Primo 2.2.0 beta 4 / Jul 10, 2004)
(79·10⁶³⁹-7)/9 = 8(7)₆₃₉_<640> is prime. (searched by Makoto Kamada / Jun 8, 2003) (certified by Sander Hoogendoorn / Primo 2.2.0 beta 4 / Jul 10, 2004)
(79·10⁷¹⁹-7)/9 = 8(7)₇₁₉_<720> is prime. (searched by Makoto Kamada / Jun 8, 2003) (certified by Sander Hoogendoorn / Primo 2.2.0 beta 4 / Jul 10, 2004)
(79·10⁷⁷⁴-7)/9 = 8(7)₇₇₄_<775> is prime. (searched by Makoto Kamada / Jun 8, 2003) (certified by Sander Hoogendoorn / Primo 2.2.0 beta 4 / Jul 10, 2004)
(79·10⁹⁰²-7)/9 = 8(7)₉₀₂_<903> is prime. (searched by Makoto Kamada / Jun 8, 2003) (certified by Sander Hoogendoorn / Primo 2.2.0 beta 4 / Jul 10, 2004)

Searched:

1-10000

References:

A056724 (On-Line Encyclopedia of Integer Sequences)
A093943 (On-Line Encyclopedia of Integer Sequences)

Condition

n≤200

Status

Completed up to n=100. (Jun 8, 2003)
Completed up to n=150. (Apr 26, 2005)
The following numbers are not factored yet. (n≤200)
n= 170, 177, 184, 185, 186, 188, 189, 190, 192, 193, 194, 195, 197, 198, 199 (15/200)

Factorization results

(79·10¹-7)/9 =: 87; = 3 · 29

(79·10²-7)/9 =: 877; = definitely prime number

(79·10³-7)/9 =: 8777; = 67 · 131

(79·10⁴-7)/9 =: 87777; = 3³ · 3251

(79·10⁵-7)/9 =: 877777; = 109 · 8053

(79·10⁶-7)/9 =: 8777777; = 1279 · 6863

(79·10⁷-7)/9 =: 87777777; = 3 · 19 · 1539961

(79·10⁸-7)/9 =: 877777777; = 307 · 2859211

(79·10⁹-7)/9 =: 8777777777_<10>; = definitely prime number

(79·10¹⁰-7)/9 =: 87777777777_<11>; = 3 · 1039 · 28160981

(79·10¹¹-7)/9 =: 877777777777_<12>; = 97 · 9049255441_<10>

(79·10¹²-7)/9 =: 8777777777777_<13>; = 17 · 61 · 8464588021_<10>

(79·10¹³-7)/9 =: 87777777777777_<14>; = 3² · 9753086419753_<13>

(79·10¹⁴-7)/9 =: 877777777777777_<15>; = 231643 · 3789355939_<10>

(79·10¹⁵-7)/9 =: 8777777777777777_<16>; = definitely prime number

(79·10¹⁶-7)/9 =: 87777777777777777_<17>; = 3 · 5233 · 5591297393323_<13>

(79·10¹⁷-7)/9 =: 877777777777777777_<18>; = 113 · 7767944936086529_<16>

(79·10¹⁸-7)/9 =: 8777777777777777777_<19>; = 59 · 148775894538606403_<18>

(79·10¹⁹-7)/9 =: 87777777777777777777_<20>; = 3 · 51797 · 192053 · 2941288499_<10>

(79·10²⁰-7)/9 =: 877777777777777777777_<21>; = 23 · 38164251207729468599_<20>

(79·10²¹-7)/9 =: 8777777777777777777777_<22>; = 4290625187_<10> · 2045803908571_<13>

(79·10²²-7)/9 =: 87777777777777777777777_<23>; = 3² · 2657 · 39439 · 93073195180711_<14>

(79·10²³-7)/9 =: 877777777777777777777777_<24>; = 1028569 · 853397076693715033_<18>

(79·10²⁴-7)/9 =: 8777777777777777777777777_<25>; = 157 · 9021709 · 42892891 · 144481019

(79·10²⁵-7)/9 =: 87777777777777777777777777_<26>; = 3 · 19 · 871687 · 1766644464865512703_<19>

(79·10²⁶-7)/9 =: 877777777777777777777777777_<27>; = 47 · 655351 · 18317749 · 1555753023509_<13>

(79·10²⁷-7)/9 =: 8777777777777777777777777777_<28>; = 1471 · 66071 · 90315237665994105097_<20>

(79·10²⁸-7)/9 =: 87777777777777777777777777777_<29>; = 3 · 17 · 3413 · 504287400411217649803679_<24>

(79·10²⁹-7)/9 =: 877777777777777777777777777777_<30>; = 29 · 163 · 181 · 54287 · 103091 · 183317451035063_<15>

(79·10³⁰-7)/9 =: 8777777777777777777777777777777_<31>; = 48029 · 106371952417_<12> · 1718121635883589_<16>

(79·10³¹-7)/9 =: 87777777777777777777777777777777_<32>; = 3⁶ · 127 · 1368553741_<10> · 692773834576000259_<18>

(79·10³²-7)/9 =: 877777777777777777777777777777777_<33>; = definitely prime number

(79·10³³-7)/9 =: 8777777777777777777777777777777777_<34>; = 173 · 1651456311522601_<16> · 30723549583196749_<17>

(79·10³⁴-7)/9 =: 87777777777777777777777777777777777_<35>; = 3 · 442078543 · 66185658007064276945147413_<26>

(79·10³⁵-7)/9 =: 877777777777777777777777777777777777_<36>; = 151 · 2957 · 333427 · 894986509 · 6587779528517477_<16>

(79·10³⁶-7)/9 =: 8777777777777777777777777777777777777_<37>; = 67 · 2887 · 1378943 · 4845270049_<10> · 6792015892743859_<16>

(79·10³⁷-7)/9 =: 87777777777777777777777777777777777777_<38>; = 3 · 29259259259259259259259259259259259259_<38>

(79·10³⁸-7)/9 =: 877777777777777777777777777777777777777_<39>; = definitely prime number

(79·10³⁹-7)/9 =: 8777777777777777777777777777777777777777_<40>; = 431 · 20366073730342871874194379994844031967_<38>

(79·10⁴⁰-7)/9 =: 87777777777777777777777777777777777777777_<41>; = 3² · 3041 · 6754972517647457_<16> · 474790549381482177769_<21>

(79·10⁴¹-7)/9 =: 877777777777777777777777777777777777777777_<42>; = 121114958819_<12> · 7247476169228368928466652528283_<31>

(79·10⁴²-7)/9 =: 8777777777777777777777777777777777777777777_<43>; = 23 · 293 · 94486126799_<11> · 13785454172369080611318035557_<29>

(79·10⁴³-7)/9 =: 87777777777777777777777777777777777777777777_<44>; = 3 · 19 · 673 · 2288203586397064147904845488328713479257_<40>

(79·10⁴⁴-7)/9 =: 877777777777777777777777777777777777777777777_<45>; = 17 · 6198553 · 8330006523797501636817285068056611977_<37>

(79·10⁴⁵-7)/9 =: 8777777777777777777777777777777777777777777777_<46>; = 5077 · 49523 · 5747407 · 57182861 · 106226443162324247368181_<24>

(79·10⁴⁶-7)/9 =: 87777777777777777777777777777777777777777777777_<47>; = 3 · 1229 · 163349994329_<12> · 4615985197675297_<16> · 31573877018163167_<17>

(79·10⁴⁷-7)/9 =: 877777777777777777777777777777777777777777777777_<48>; = 6146627 · 66291889 · 914658099633001_<15> · 2355204071622147059_<19>

(79·10⁴⁸-7)/9 =: 8777777777777777777777777777777777777777777777777_<49>; = 5803123759_<10> · 1512595309408044243947990869959624753503_<40>

(79·10⁴⁹-7)/9 =: 87777777777777777777777777777777777777777777777777_<50>; = 3² · 1483 · 6576592326198979379469377221681110195383065691_<46>

(79·10⁵⁰-7)/9 =: 877777777777777777777777777777777777777777777777777_<51>; = 2203 · 1171619 · 2961713 · 3533021 · 7272779551_<10> · 4468832374437102107_<19>

(79·10⁵¹-7)/9 =: 8777777777777777777777777777777777777777777777777777_<52>; = 56041 · 156631355218104205452753836972533997926121549897_<48>

(79·10⁵²-7)/9 =: 87777777777777777777777777777777777777777777777777777_<53>; = 3 · 1593841 · 18357702718940759623613183033476525738300909099_<47>

(79·10⁵³-7)/9 =: 877777777777777777777777777777777777777777777777777777_<54>; = 81276737041_<11> · 276657262325453_<15> · 39036983115307809616353406949_<29>

(79·10⁵⁴-7)/9 =: 8777777777777777777777777777777777777777777777777777777_<55>; = 967 · 9077329656440307939790876709180742272779501321383431_<52>

(79·10⁵⁵-7)/9 =: 87777777777777777777777777777777777777777777777777777777_<56>; = 3 · 1318711438973_<13> · 22187764809294513831171984800460127690506583_<44>

(79·10⁵⁶-7)/9 =: 877777777777777777777777777777777777777777777777777777777_<57>; = 85229 · 1296907 · 68608414098839_<14> · 115747327951753538816444347733881_<33>

(79·10⁵⁷-7)/9 =: 8777777777777777777777777777777777777777777777777777777777_<58>; = 29 · 20051 · 15095605822012106675869253709554047141475062345807463_<53>

(79·10⁵⁸-7)/9 =: 87777777777777777777777777777777777777777777777777777777777_<59>; = 3³ · 16651 · 8295919 · 9613326129709_<13> · 2448174206416841819760431802108931_<34>

(79·10⁵⁹-7)/9 =: 877777777777777777777777777777777777777777777777777777777777_<60>; = 1019 · 153904233902555897_<18> · 548918083692521077_<18> · 10196527430264900286607_<23>

(79·10⁶⁰-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777_<61>; = 17 · 63067 · 83862971503_<11> · 97625493234344109162656335468697996212763581_<44>

(79·10⁶¹-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777_<62>; = 3 · 19 · 2671 · 183487 · 7569038059939_<13> · 37742621622192629_<17> · 10999116091395134825303_<23>

(79·10⁶²-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777_<63>; = 60431233020305404297_<20> · 14525233623527705227256730501555207399612841_<44>

(79·10⁶³-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777_<64>; = 50543 · 11853667879_<11> · 1646168037465275523227981_<25> · 8900136059715663544174061_<25>

(79·10⁶⁴-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777_<65>; = 3 · 23 · 3469 · 366717125086282969146092211253202392109732904599236207142257_<60>

(79·10⁶⁵-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777_<66>; = definitely prime number

(79·10⁶⁶-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777_<67>; = 2648203102030301_<16> · 3314616530374165229827946254383913631683258564064677_<52>

(79·10⁶⁷-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777777_<68>; = 3² · 9491 · 1772873 · 371701389317841940338001_<24> · 1559402724542801747603197415581771_<34>

(79·10⁶⁸-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777777_<69>; = 3067 · 541061 · 528962123084179948979062871195424454227073966197114629824871_<60>

(79·10⁶⁹-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777777_<70>; = 67 · 701 · 441808951 · 423016444667068048662249093553766929266772530432168000481_<57>

(79·10⁷⁰-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777777777_<71>; = 3 · 263 · 30137 · 419521724708346802973131579_<27> · 8799400910250500199092623117922534191_<37>

(79·10⁷¹-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777777777_<72>; = 4091 · 8877889 · 3479642520519594416907467_<25> · 6945615895505927515343313173338440169_<37>

(79·10⁷²-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777777777_<73>; = 47 · 61 · 2365913725529_<13> · 76075301739799_<14> · 17010391201575765150984920207108733543191861_<44>

(79·10⁷³-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777777777777_<74>; = 3 · 127 · 149 · 1519123 · 186977081198652403_<18> · 5443672916116246686192720768217262641633034857_<46>

(79·10⁷⁴-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777777777777_<75>; = 9419 · 45281 · 261126829 · 26835077053_<11> · 361845055531_<12> · 811683637957724156047774036111939969_<36>

(79·10⁷⁵-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777777777777_<76>; = 193 · 24068784931_<11> · 1889614037637530374422166758860037195041867189349907705495822619_<64>

(79·10⁷⁶-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777777777777777_<77>; = 3² · 17 · 59 · 173 · 2281 · 2357 · 52665509036923318487789_<23> · 198510682383525775776496068704233626195199_<42>

(79·10⁷⁷-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777777777777777_<78>; = 164789 · 206183 · 200428703201_<12> · 983790101325478140793111_<24> · 131021070699063079447517451430061_<33>

(79·10⁷⁸-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777777777777777_<79>; = 46524973150762692573384863_<26> · 188668089056895716390528845983708063747835492416727279_<54>

(79·10⁷⁹-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777777777777777777_<80>; = 3 · 19 · 393832228179689693_<18> · 3873208115875499528161_<22> · 1009549552065713273652373978085037154157_<40>

(79·10⁸⁰-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777777777777777777_<81>; = 7477 · 117397054671362548853521168620807513411498967203126625354791731680858335933901_<78>

(79·10⁸¹-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777777777777777777_<82>; = 311 · 809 · 245299 · 142226293910266515990272234512180903140510069336770087655840191095179077_<72>

(79·10⁸²-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777777777777777777777_<83>; = 3 · 9781 · 373837 · 10098714756700411561_<20> · 792376669562534270762959484563295238555741888879349427_<54>

(79·10⁸³-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777777777777777777777_<84>; = 1426847 · 189632354027_<12> · 3244103781092513818199581243764142950379483717711648480153486609933_<67>

(79·10⁸⁴-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<85>; = 1283 · 13723 · 84481 · 3792450820198177_<16> · 912949930757975302504399_<24> · 1704444634173488361146966557722031_<34>

(79·10⁸⁵-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<86>; = 3³ · 29 · 601 · 246509 · 24745444312799630747_<20> · 138938635730197283254764923_<27> · 220088465088589273758781183211_<30>

(79·10⁸⁶-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<87>; = 23 · 1381 · 145589 · 2614517 · 470835093271_<12> · 154196390998822663901590694432437009722866805190550316904373_<60>

(79·10⁸⁷-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<88>; = 139273 · 3323775429077064990406669083206763751_<37> · 18962080164444337507118962997134942961150559599_<47>

(79·10⁸⁸-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<89>; = 3 · 1097 · 1011208333_<10> · 26376432762853729885893669668690451076989800579289743385791763946282678072559_<77>

(79·10⁸⁹-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<90>; = 26683 · 15218004407_<11> · 16967731784880744830525023_<26> · 127399707119237812119039467536609997984214889359179_<51>

(79·10⁹⁰-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<91>; = 199 · 816824069 · 3140915641831054933_<19> · 90412096566470111659_<20> · 190160436862346784592835076461948107467661_<42>

(79·10⁹¹-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<92>; = 3 · 227 · 1087 · 42986508132637501151_<20> · 2758517590972222115227455670367268277054227458972596171901620252841_<67>

(79·10⁹²-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<93>; = 17 · 51633986928104575163398692810457516339869281045751633986928104575163398692810457516339869281_<92>

(79·10⁹³-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<94>; = 653 · 1063 · 372159218666610107_<18> · 33978903086984550299045227986645849714444508569780383238769917074089049_<71>

(79·10⁹⁴-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<95>; = 3² · 9907 · 130784501 · 1039974697057370318477797130487773873_<37> · 7238037966414724671179588372984950173762989623_<46>

(79·10⁹⁵-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<96>; = 149087 · 4559963 · 363653569751279_<15> · 407473172495225227944653_<24> · 8713579774164776189360522150978791136594506591_<46>

(79·10⁹⁶-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<97>; = 229 · 15907 · 1242347 · 283493432342816291_<18> · 59211090941111590261441_<23> · 115550502346834927777948329287296250295897887_<45>

(79·10⁹⁷-7)/9 =: 87777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<98>; = 3 · 19 · 1091 · 23663 · 7059895429_<10> · 551421435588409005923_<21> · 15322628034070725394475675869144811961977759113473564406451_<59> (Tetsuya Kobayashi / GMP-ECM 5.0.1)

(79·10⁹⁸-7)/9 =: 877777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<99>; = 599 · 42676687 · 950070083967065130759709_<24> · 36141936508703817412689543657931921862869693293410056469351059181_<65> (Tetsuya Kobayashi / GMP-ECM 5.0.1 B1=1000000)

(79·10⁹⁹-7)/9 =: 8777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777_<100>; = 14699 · 4255213 · 30387509 · 22250653335626902120327908248927617_<35> · 207557112323345884114191903379931497349153172707_<48> (Robert Backstrom / PPSIQS Ver 1.1)

(79·10¹⁰⁰-7)/9 =: 8(7)₁₀₀_<101>; = 3 · 599035112449938007_<18> · 19045175226244872373_<20> · 2564638012834324562902872180181536259202394330872604445442176169_<64>

(79·10¹⁰¹-7)/9 =: 8(7)₁₀₁_<102>; = 404461 · 420876180973_<12> · 5156482907944657718657986328414334399140973346628153141428063601885625971283569137609_<85>

(79·10¹⁰²-7)/9 =: 8(7)₁₀₂_<103>; = 67 · 157 · 31727 · 1466741 · 2154281 · 2279617 · 131781657373_<12> · 27708210780883908381653852738775549668231451328027998728587196689_<65>

(79·10¹⁰³-7)/9 =: 8(7)₁₀₃_<104>; = 3² · 363865511289907257179153350169140531_<36> · 26804096890574452408165647806120551250230898252768761105349809997363_<68> (Makoto Kamada / GGNFS-0.42.0 / Total time: 1.9 hours (actual time: 3.0 hours))

(79·10¹⁰⁴-7)/9 =: 8(7)₁₀₄_<105>; = 4217 · 178603 · 195919 · 160412688437_<12> · 37083179087286374328139210157884790361140634068720858044656124272205257117053809_<80>

(79·10¹⁰⁵-7)/9 =: 8(7)₁₀₅_<106>; = 257 · 2746531939_<10> · 9214084923478455542207687463416188289121095803_<46> · 1349629598394405364038118933767945402487058046433_<49> (Makoto Kamada / GGNFS-0.42.0 / Total time: 1.5 hours (actual time: 2.6 hours))

(79·10¹⁰⁶-7)/9 =: 8(7)₁₀₆_<107>; = 3 · 30013 · 905597456263_<12> · 5092405802491016010421171215342859457_<37> · 211395491447771780224630367125242207761553473334049073_<54> (Makoto Kamada / GGNFS-0.42.0 / Total time: 2.3 hours (actual time: 3.4 hours))

(79·10¹⁰⁷-7)/9 =: 8(7)₁₀₇_<108>; = 97 · 587 · 86310252059590363795750812269520013_<35> · 178612710643354992310465025493072036929850280266876917301928120036511_<69> (Makoto Kamada / GGNFS-0.42.0 / Total time: 1.9 hours (actual time: 3.2 hours))

(79·10¹⁰⁸-7)/9 =: 8(7)₁₀₈_<109>; = 17 · 23 · 53077 · 422962102868634454483262567758060408871682576386166070351672054588152886108946375006777432303402944811_<102>

(79·10¹⁰⁹-7)/9 =: 8(7)₁₀₉_<110>; = 3 · 1025279 · 28537850925708279657789986198156071917262773605291105405708357685331757754971338786085796411766220959621_<104>

(79·10¹¹⁰-7)/9 =: 8(7)₁₁₀_<111>; = 151 · 163 · 179 · 4423 · 45045359759236012938979645763990938085872601999337600697655653125476033927269970675647385951500328537_<101>

(79·10¹¹¹-7)/9 =: 8(7)₁₁₁_<112>; = 347 · 911 · 10007 · 4749029 · 23890100659_<11> · 46400970106612985780503_<23> · 376765073538235447108719551_<27> · 1398982661764454421452750560214567101_<37>

(79·10¹¹²-7)/9 =: 8(7)₁₁₂_<113>; = 3⁴ · 3069210373_<10> · 8158052950529_<13> · 39381628111860196191266121847_<29> · 1098987414884287673158341202523467617974347954283193955329083_<61>

(79·10¹¹³-7)/9 =: 8(7)₁₁₃_<114>; = 29 · 109 · 409 · 9461 · 220369 · 265163 · 1228107293939551172532451804099994196899758872708646062822614053463743670051256155411974122119_<94>

(79·10¹¹⁴-7)/9 =: 8(7)₁₁₄_<115>; = 27360871360777_<14> · 936130526654830053308320973_<27> · 196637916838776130642448825813_<30> · 1742813780924294927460492975554887344819975449_<46>

(79·10¹¹⁵-7)/9 =: 8(7)₁₁₅_<116>; = 3 · 19 · 127 · 42034016908010046021378526723248273108709559_<44> · 288472959872801474661886852720633634410793341412133936141410803462577_<69> (Naoki Yamamoto / GGNFS-0.42.0 / 2 hours)

(79·10¹¹⁶-7)/9 =: 8(7)₁₁₆_<117>; = 6151 · 24337259 · 1600809467_<10> · 3662920955777058491511335046495908877409080710205847946342683359809587009841715069160917579168559_<97>

(79·10¹¹⁷-7)/9 =: 8(7)₁₁₇_<118>; = 263010499 · 92807191282367031059_<20> · 67363605668755522618725647_<26> · 5338319246954094475050027840591175306643149027134021381415271351_<64>

(79·10¹¹⁸-7)/9 =: 8(7)₁₁₈_<119>; = 3 · 47 · 4024277 · 34089915659071_<14> · 883144159821027373966672839952504573443041011_<45> · 5138307307076065050635534448422224366101312899311781_<52> (Tyler Cadigan / PPSIQS / 33:24:41:68)

(79·10¹¹⁹-7)/9 =: 8(7)₁₁₉_<120>; = 173 · 223 · 3221 · 91757 · 1074533 · 156477338651555641824995709430741_<33> · 457859759985964363716052010340892271341496432063774626160703756819043_<69> (Sander Hoogendoorn / NFSX 1.8)

(79·10¹²⁰-7)/9 =: 8(7)₁₂₀_<121>; = 1973 · 17589721 · 3647603796195563296887624217864148310447270429610909_<52> · 69341125512577351283194098596051851745852661752751688209241_<59> (Sander Hoogendoorn)

(79·10¹²¹-7)/9 =: 8(7)₁₂₁_<122>; = 3² · 106735091231_<12> · 41306812933943131_<17> · 2413596472715853106795907_<25> · 353166254626734253415220360959_<30> · 2595190822961402540651882930468466308921_<40>

(79·10¹²²-7)/9 =: 8(7)₁₂₂_<123>; = 92030519093_<11> · 3388980793137769_<16> · 2039689424090492078420674069_<28> · 1379810859495339289014899023106919843446478041176210495238408888977649_<70>

(79·10¹²³-7)/9 =: 8(7)₁₂₃_<124>; = definitely prime number

(79·10¹²⁴-7)/9 =: 8(7)₁₂₄_<125>; = 3 · 17 · 558451843 · 2197459741159_<13> · 978064542225600247365749793689829702362300081_<45> · 1433970560180904882402161060064805652850063739099545014191_<58> (Chris Monico / GGNFS)

(79·10¹²⁵-7)/9 =: 8(7)₁₂₅_<126>; = 60340391 · 281957789 · 22182722916526181464012410793_<29> · 2325827552396390226702677766535493699960592916728109514034952353529412051179010011_<82>

(79·10¹²⁶-7)/9 =: 8(7)₁₂₆_<127>; = 337 · 4721 · 73637 · 119869 · 7474153 · 1022663261_<10> · 20934653464832126854449165578597_<32> · 3906225375647472141875367898907852805403416735828228781396251017_<64> (Wataru Sakai / GMP-ECM B1=2500000,sigma=1143409557)

(79·10¹²⁷-7)/9 =: 8(7)₁₂₇_<128>; = 3 · 1061 · 421339818441475497743302021_<27> · 65450872366629716054246390091453952489409732896631815252914408928232496324820098342998354665408339_<98>

(79·10¹²⁸-7)/9 =: 8(7)₁₂₈_<129>; = 1535278589618783_<16> · 571738434778624893524230559231861872623697869240634697052659879197626027564065215764956396047994885547128123542319_<114>

(79·10¹²⁹-7)/9 =: 8(7)₁₂₉_<130>; = 113 · 1987 · 29245241545452519932237_<23> · 1336758820904538505988853153865946235667686646419839944491987842454942100059936945932504046993858663191_<103>

(79·10¹³⁰-7)/9 =: 8(7)₁₃₀_<131>; = 3² · 23 · 7753 · 87852156910981748963827411242902339451719662631441_<50> · 622575496842196079944269287180775768915632176410247848675058282237098994007_<75> (Greg Childers / GGNFS / Apr 19, 2005)

(79·10¹³¹-7)/9 =: 8(7)₁₃₁_<132>; = 2027 · 167099 · 6339489895631067272405153849976882861595921763081853789809_<58> · 408792263733038105310352306120575926407165931446528708134291684761_<66> (Greg Childers / GGNFS / Apr 19, 2005)

(79·10¹³²-7)/9 =: 8(7)₁₃₂_<133>; = 61 · 21937 · 34664053 · 22402834500706174331519211189250744043_<38> · 8446858148752724085126640445629105130388709245371288031651389021497634362927605859_<82> (Greg Childers / GGNFS / Apr 19, 2005)

(79·10¹³³-7)/9 =: 8(7)₁₃₃_<134>; = 3 · 19 · 131 · 367 · 324414619178906490467454202971739961429142350293303048478219_<60> · 98735186210383949181018346423482341905135944398687224773201244497847_<68> (Greg Childers / GGNFS / Apr 19, 2005)

(79·10¹³⁴-7)/9 =: 8(7)₁₃₄_<135>; = 59 · 937 · 1187 · 204926984179_<12> · 30540671285935163_<17> · 162687630892856005628385710867_<30> · 695290052459997155480445325091_<30> · 18894873213638246011242475606286462997473_<41>

(79·10¹³⁵-7)/9 =: 8(7)₁₃₅_<136>; = 67 · 11929546337170934826957294007451_<32> · 10982111550657510700513355288216179071140051766262673835508750420486872948294203183491129951906834483681_<104> (Wataru Sakai / GMP-ECM B1=10000000,sigma=622560470)

(79·10¹³⁶-7)/9 =: 8(7)₁₃₆_<137>; = 3 · 13849741415614216417922294395086652770736611282736181539471419078631_<68> · 2112621339361060738459333079391665299342139635682486660691788348858189_<70> (Greg Childers / GGNFS / Apr 19, 2005)

(79·10¹³⁷-7)/9 =: 8(7)₁₃₇_<138>; = 5667367 · 1287080941_<10> · 76572912595774863595940218511266290227184043721111_<50> · 1571528345837140402179946004762496112746455103670922030804717525099701781_<73> (Greg Childers / GGNFS / Apr 19, 2005)

(79·10¹³⁸-7)/9 =: 8(7)₁₃₈_<139>; = 371810943958822041953_<21> · 23608174854449454321335247569000452711785797131532795103821602828795676192990765370230060225584784348050796976280923409_<119>

(79·10¹³⁹-7)/9 =: 8(7)₁₃₉_<140>; = 3³ · 8221 · 15767 · 57301 · 64553 · 442696477 · 15316601194156758530422031236598484190357092754879772513602300156008547093887525792824474626269204213494163787153_<113>

(79·10¹⁴⁰-7)/9 =: 8(7)₁₄₀_<141>; = 17 · 1789 · 7718740572611_<13> · 2135420728795521859_<19> · 9590367560093717159072778076164581_<34> · 182582928677329712557337207442640767492104390908201256278464564458954441_<72> (Greg Childers / GGNFS / Apr 19, 2005)

(79·10¹⁴¹-7)/9 =: 8(7)₁₄₁_<142>; = 29 · 269 · 47701 · 53961707 · 962917808345966374140858316488668693_<36> · 453974984128998297419281072430079299912697455912175968680541160315429146445373366309562627_<90> (Greg Childers / GGNFS / Apr 26, 2005)

(79·10¹⁴²-7)/9 =: 8(7)₁₄₂_<143>; = 3 · 23801 · 3180271 · 2274975393117379_<16> · 103362200723771968050251614257971661003681520194908011_<54> · 1643862705666786962264445083888886334183492795629961930240355741_<64> (Greg Childers / GGNFS / Apr 26, 2005)

(79·10¹⁴³-7)/9 =: 8(7)₁₄₃_<144>; = 167 · 23633 · 31849 · 199811 · 45793339 · 8174509744517112693883_<22> · 93361975930197601757565059996926930141184490414538263851371016497953148782756271613218556278641149_<98>

(79·10¹⁴⁴-7)/9 =: 8(7)₁₄₄_<145>; = 5104201 · 5482965725219_<13> · 313647104435123917681927380897356622366691022454559057848108295351826593530093322425557391461281630354511053806784856728554883_<126>

(79·10¹⁴⁵-7)/9 =: 8(7)₁₄₅_<146>; = 3 · 251179 · 6376594151_<10> · 11723589796112813807_<20> · 9904980113260985473300257589561781_<34> · 157317487391679322443617403504147918665067839425210802819376140882728056142213_<78> (Greg Childers / GGNFS / Apr 26, 2005)

(79·10¹⁴⁶-7)/9 =: 8(7)₁₄₆_<147>; = 6793 · 163151 · 5758775359_<10> · 605663053578405079_<18> · 1170644891328605627800277649237881_<34> · 193975479227269007806352169051997628447094967379670003400328405055517730573479_<78> (Greg Childers / GGNFS / Apr 26, 2005)

(79·10¹⁴⁷-7)/9 =: 8(7)₁₄₇_<148>; = 37370588207_<11> · 871780097011461907_<18> · 32634506292788544665789_<23> · 8256018388573909933222369952487738807765204638007102200906575064796829103381749497324433438478057_<97>

(79·10¹⁴⁸-7)/9 =: 8(7)₁₄₈_<149>; = 3² · 457 · 428693 · 1045059974643046535475147584447096794057_<40> · 47636326743318395474221969473962548013577751292838687898265343630915680195312801909981884477621407029_<101> (Greg Childers / GGNFS / Apr 26, 2005)

(79·10¹⁴⁹-7)/9 =: 8(7)₁₄₉_<150>; = 75963852469_<11> · 1971858153910503758439816719274653_<34> · 58898996531290189163443434051201583057_<38> · 99493345362430927547883863895453784020973388737798576760582245792673_<68> (Makoto Kamada / GMP-ECM 5.0.1 B1=100000, sigma=1355302942 for P34) (Greg Childers / GGNFS / Apr 26, 2005)

(79·10¹⁵⁰-7)/9 =: 8(7)₁₅₀_<151>; = 7211 · 664163309 · 693117574491033447233_<21> · 3993523647253569856449143491627_<31> · 662141845998161724681619806574027669963115105690042744658396243266947112100980813021053_<87>

(79·10¹⁵¹-7)/9 =: 8(7)₁₅₁_<152>; = 3 · 19 · 10169 · 151436819121371243144848167336534976058605665615618465093909038611979955899297965743457977337000788046535959439469074013691038601628578389735880769_<147>

(79·10¹⁵²-7)/9 =: 8(7)₁₅₂_<153>; = 23 · 569 · 2647 · 82883 · 72475479371_<11> · 4218266163684591260386443990463394957769766677013125595326551749592104923806379280221185704677704748555685450312144851546542392201_<130>

(79·10¹⁵³-7)/9 =: 8(7)₁₅₃_<154>; = 1609 · 194886308091743_<15> · 33189147649745737114986138374689356517744711840673371_<53> · 843434011803161407008535388292933087394417867330522649337638124595057972951922937301_<84> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon / 50.61 hours on Athlon XP 2700+ using Cygwin / Mar 13, 2007)

(79·10¹⁵⁴-7)/9 =: 8(7)₁₅₄_<155>; = 3 · 54877 · 67819044370277_<14> · 1140798000097969_<16> · 6891480769698881474721013798692636379644361339390275115518286052142516765315246071427298172141563612674564760895953210459_<121>

(79·10¹⁵⁵-7)/9 =: 8(7)₁₅₅_<156>; = 233 · 10433 · 1481882918251259_<16> · 5408053588527112006899636743_<28> · 65284723197930261268166364053401_<32> · 220613673743668983159486374835774857_<36> · 3128387783845623068000754294540409148477_<40> (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=3428040708 for P28 / Jun 24, 2005) (Tyler Cadigan / GGNFS-0.77.1-20050930-pentium4 gnfs / 25.03 hours on P4 3.2 gig, 1024 Mb RAM for P32 x P36 x P40 / Oct 10, 2005)

(79·10¹⁵⁶-7)/9 =: 8(7)₁₅₆_<157>; = 17 · 17519 · 910832223383_<12> · 5718594569078036111_<19> · 128482493190750387924151459_<27> · 44040749186352673235670563247918896348753415014822823262151196574347012827569231369747730310797_<95>

(79·10¹⁵⁷-7)/9 =: 8(7)₁₅₇_<158>; = 3² · 127 · 98487869 · 703283924753_<12> · 1108727756759413817848771356902692252220084003304745424519838778371463728952537571565820789192693238607557003877031892181061449392509427_<136>

(79·10¹⁵⁸-7)/9 =: 8(7)₁₅₈_<159>; = 132329 · 6633298655455552280889130710409492838136597252135040526096152602814030014416928849895168691502072695915315446937389217615018459882397492445176626270717513_<154>

(79·10¹⁵⁹-7)/9 =: 8(7)₁₅₉_<160>; = 219647 · 161560309967141_<15> · 40311515332103879_<17> · 33170288939488390924608107_<26> · 1124420513417429289242292747120560652696703691_<46> · 164519541196822535927565725573223849787831289674684237_<54> (Kenichiro Yamaguchi / msieve 0.88 for P46 x P54 / 32:57:26 on Pentium M 1.3GHz / May 18, 2005)

(79·10¹⁶⁰-7)/9 =: 8(7)₁₆₀_<161>; = 3 · 5449 · 5369656681824051983714307076391862591165215499955819280466004635577034182282851763490412783861123005920216417555378832677419574097863692284686962609517206691_<157>

(79·10¹⁶¹-7)/9 =: 8(7)₁₆₁_<162>; = 307 · 929 · 2531537 · 2768102703739141_<16> · 439201701159418623148093661840289726574509562730575201237596854081831096558647226669113420629226887778986603603544843355268524620828927_<135>

(79·10¹⁶²-7)/9 =: 8(7)₁₆₂_<163>; = 173 · 50738599871547848426461143224149004495825305073859987154784842646114322414900449582530507385998715478484264611432241490044958253050738599871547848426461143224149_<161>

(79·10¹⁶³-7)/9 =: 8(7)₁₆₃_<164>; = 3 · 74843 · 38060733327077701_<17> · 1083398825202294831704209103_<28> · 9480835858431198174849223900216501761666793567184223673469931008775997377554534316342050879918045338480030893555971_<115> (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=2920856393 for P28 / Jun 24, 2005)

(79·10¹⁶⁴-7)/9 =: 8(7)₁₆₄_<165>; = 47 · 1301 · 11731 · 44201100521_<11> · 41834738746091_<14> · 661765692865748709710337977707846388031124581156978495779248802013390860016926716894457444325780099183241422331000767453144615053851_<132>

(79·10¹⁶⁵-7)/9 =: 8(7)₁₆₅_<166>; = 181787 · 6947861 · 471250250494729967_<18> · 146631661811942550414576793_<27> · 505183798145073606671326082895157_<33> · 199086528382066627439016425618280593244587507522519767719428521573572672432733_<78> (Patrick Keller / GGNFS-0.77.1-20050930-pentium4 gnfs for P33 x P78 / 25.27 hours / Feb 9, 2006)

(79·10¹⁶⁶-7)/9 =: 8(7)₁₆₆_<167>; = 3³ · 47713 · 3172723 · 440704505459_<12> · 9362074161864458841095297_<25> · 5205139450180598991279167158700114111718384199763590987912261353151261608776902848905035123562968399980261302506868363_<118>

(79·10¹⁶⁷-7)/9 =: 8(7)₁₆₇_<168>; = 3407 · 3701 · 69613482943811089521238381917243967315394714220042209915087147753463198078830008483240020865363796581190209563283515721980421110991887006778229586905749679802211_<161>

(79·10¹⁶⁸-7)/9 =: 8(7)₁₆₈_<169>; = 67 · 503 · 557 · 1205760657098941451_<19> · 7759395761065552324116951099007858595802868200287671942463351_<61> · 49980153610709556948637712835820984645682617068092949162535061366397670901309487461_<83> (Markus Tervooren / GGNFS-0.77.1-20060722-nocona snfs / 67.86 hours on Q6700, Linux 2.6.22 / Nov 23, 2008)

(79·10¹⁶⁹-7)/9 =: 8(7)₁₆₉_<170>; = 3 · 19 · 29 · 1725943553750443_<16> · 3116549881367973389270395010859470666928419469489925409699923580919060881933_<76> · 9872134366631629882925427065540193668246546885604057444260571641728324014211_<76> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.38 snfs / 14.24 hours, 2.38 hours / Oct 1, 2008)

(79·10¹⁷⁰-7)/9 =: 8(7)₁₇₀_<171>; = 1765641831386057_<16> · 519984567881869875839623965217_<30> · [956074021105397536437342755056849754612201290610974264349641650804121960025424871623231611685371025112062981295261387784719433_<126>] (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=2285438482 for P30 / Jul 2, 2005) SUBMIT/RESERVE

(79·10¹⁷¹-7)/9 =: 8(7)₁₇₁_<172>; = 455849 · 5458373 · 67309522537_<11> · 1478323965043_<13> · 21868648504691_<14> · 205933584244552585437467949053421910141_<39> · 7872363074833719679020067199964325911944706977770586747781253428175946317375962633481_<85> (Robert Backstrom / GMP-ECM 6.2.1 B1=5472000, sigma=1768681715 for P39 / Sep 20, 2008)

(79·10¹⁷²-7)/9 =: 8(7)₁₇₂_<173>; = 3 · 17² · 6736283 · 15033413 · 999741157549004464412035137764740745667138721702038424389909737346280007094948154045421159127102345000387487554945456325527437903984626088986644835358392589_<156>

(79·10¹⁷³-7)/9 =: 8(7)₁₇₃_<174>; = definitely prime number

(79·10¹⁷⁴-7)/9 =: 8(7)₁₇₄_<175>; = 23 · 111847 · 2700199 · 11341333 · 28678103502931_<14> · 5767905468864376763_<19> · 73719021324300880388201021_<26> · 9137437277905360554319628040724189738408180401913813774870087386642308107897726771619334377416327_<97> (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=3453289683 for P26 / Jun 24, 2005)

(79·10¹⁷⁵-7)/9 =: 8(7)₁₇₅_<176>; = 3² · 481359252701_<12> · 20261553849908627436057131373216105394663934989855909099393594165461635106921098942129393331615825458965921720806511668477750044680108565633906866806660456838206653_<164>

(79·10¹⁷⁶-7)/9 =: 8(7)₁₇₆_<177>; = 27686012873837_<14> · 1374216798796666144583633_<25> · 1013193598283673684401738593_<28> · 22770704902103874962203632895964763529562578154546354694559101090611032391738480510111692120014109341655458828709_<113>

(79·10¹⁷⁷-7)/9 =: 8(7)₁₇₇_<178>; = 5623 · 5927 · 116047 · 593463947 · 20677855997_<11> · [184947219365308535648381778638393326731826820927041408856975967228655497668117285909146833325891609690875304052669987101515426082623200079306922369_<147>] SUBMIT/RESERVE

(79·10¹⁷⁸-7)/9 =: 8(7)₁₇₈_<179>; = 3 · 19971896401363047141199475475638205189325457_<44> · 1465021581889557857924256214667419479705503658147178481828370509373285421613856871941147734400057046089676390097180025635682843605088587_<136> (Wataru Sakai / GGNFS-0.77.1-20060722-nocona snfs / 563.40 hours / Jul 17, 2008)

(79·10¹⁷⁹-7)/9 =: 8(7)₁₇₉_<180>; = 69191 · 1323486772291042062347767853173796187473215598039738449_<55> · 9585513195744228583885902560617274532350803556151073635205582699852643964350412161988989141326678149345407852327055036503_<121> (Serge Batalov / Msieve-1.38 snfs / 110.00 hours on Opteron-2.6GHz; Linux x86_64 / Nov 13, 2008)

(79·10¹⁸⁰-7)/9 =: 8(7)₁₈₀_<181>; = 157 · 93651787082743_<14> · 4039753974179086181_<19> · 147779415157265101835765419006043338100438164549608596911475235858745267432137815616360124631307421413903710535776792008100096177519841045187268167_<147>

(79·10¹⁸¹-7)/9 =: 8(7)₁₈₁_<182>; = 3 · 4219 · 6037 · 3851279 · 16480676131_<11> · 18098918290915205726102190180034872727897903960785764484992073693869699712874315074422623522734617740238026722397331342112062492515543545987133563209124675697_<158>

(79·10¹⁸²-7)/9 =: 8(7)₁₈₂_<183>; = 115987387 · 125687914650272813477483495359_<30> · 277453739305469829129656557217_<30> · 162056010817029360137027687776827583842235554323_<48> · 1339135644904339985823718669445723597191456382468572443486293907060559_<70> (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=3745683863 for P30(1256...) / Jun 24, 2005) (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=586667636 for P30(2774...) / Jun 26, 2005) (JMB / GGNFS-0.77.1 gnfs for P48 x P70 / 42.65 hours on WinXP Pro, Cygwin, AMD 3800+, 4gb DDR, 6-drive SCSI RAID / Sep 11, 2006)

(79·10¹⁸³-7)/9 =: 8(7)₁₈₃_<184>; = 1913 · 12153807173571949007375230348211_<32> · 2375716400628936749079408376044022391_<37> · 158914188404109477281052206971033581029810208002769801689981446299251940791541808338262878938295863778304036304629_<114> (Robert Backstrom / GMP-ECM 6.0 B1=1032000, sigma=1431697642 for P32, GMP-ECM 6.0 B1=3602000, sigma=996230455 for P37 / Feb 18, 2008)

(79·10¹⁸⁴-7)/9 =: 8(7)₁₈₄_<185>; = 3² · 2333 · 4603 · 508252026510729600764617_<24> · [1786928764427647549838243463902465427678320757958191903656502084910819342140107771163844231424010087290446102816524625078313409671835036555587470412006191_<154>] SUBMIT/RESERVE

(79·10¹⁸⁵-7)/9 =: 8(7)₁₈₅_<186>; = 151 · 33581 · 763757 · [226651608834968862934151820817258880932640316198117124144715755547993742337084879171056694419813030309560929213633182121942718495060203261477729011834743007357067954445851231_<174>] SUBMIT/RESERVE

(79·10¹⁸⁶-7)/9 =: 8(7)₁₈₆_<187>; = 39388196599_<11> · 134439395759_<12> · 20651081172321643_<17> · [80269237827338363325305829935134910827810864758944708578336947403048309062958050883000929400148866040284793902716220625699234605765401042503639586379_<149>] SUBMIT/RESERVE

(79·10¹⁸⁷-7)/9 =: 8(7)₁₈₇_<188>; = 3 · 19 · 2243438341_<10> · 16753272083_<11> · 42464493057919_<14> · 54555325308907403_<17> · 569429238591066553192499387_<27> · 31059401999803497107005882408901423316344854385341164791628396670151120568656103996115319690779499552332656593_<110>

(79·10¹⁸⁸-7)/9 =: 8(7)₁₈₈_<189>; = 17 · 293 · 21765125120660595551469602307679_<32> · [8096678074753473185944039706917079992623437626274897607442886516416138091715794569583278042469134900566577085836441842147205791368296429713363394770501523_<154>] (matsuix / GMP-ECM B1=8427833, sigma=318351411 for P32 / Nov 14, 2007) SUBMIT/RESERVE

(79·10¹⁸⁹-7)/9 =: 8(7)₁₈₉_<190>; = 199 · 769 · 1627 · 32233 · 127037 · [8609672964694994945110838922640407526541235415043359344973088432492646383042515289436071454001397605394626429286740736109681540463140424980034828062027648755290873428667201_<172>] SUBMIT/RESERVE

(79·10¹⁹⁰-7)/9 =: 8(7)₁₉₀_<191>; = 3 · 2848127 · 510744821488180490779_<21> · 15663544344248168635313_<23> · [1284132871731616418169886507588452527620588588532132500067484030206956484000441523447486639810777704157267142010660417736461006259974296153871_<142>] SUBMIT/RESERVE

(79·10¹⁹¹-7)/9 =: 8(7)₁₉₁_<192>; = 163 · 818566172909689_<15> · 2085333327995178647780613948737_<31> · 3154769981065663717423453824301089431621799766297681716683244043756090996193911841402129171004373985965188845124589593043288901552008988704958003_<145> (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=239804143 for P31 / Jun 24, 2005)

(79·10¹⁹²-7)/9 =: 8(7)₁₉₂_<193>; = 59 · 61² · 1313367743995457866039_<22> · [30442937374601851450299254911406816682456547352720523488322190097872644648437969634195421231345926947798253599428436433568526750668347382827701765375198951990072445037_<167>] SUBMIT/RESERVE

(79·10¹⁹³-7)/9 =: 8(7)₁₉₃_<194>; = 3⁴ · 66248719 · 1088989393_<10> · 4985063404007_<13> · 33185752280673833909_<20> · [90797956593830860388705270672509588516735015763535558569319199045977499679051473488930164197638005863880618076764754966263054630578396076758277_<143>] SUBMIT/RESERVE

(79·10¹⁹⁴-7)/9 =: 8(7)₁₉₄_<195>; = 41887 · [20955852120652655424780427764647212208508075960984978102460853672446768156654278840159901109599106591013387871601637209104919850497237275951435475870264706896597459301878334036282803203327471_<191>] SUBMIT/RESERVE

(79·10¹⁹⁵-7)/9 =: 8(7)₁₉₅_<196>; = 683 · 104537 · 11915667262357_<14> · 332254473268707221_<18> · [31053077098131866714417649489553242148850075120319152599085410577943565157361298875100373468515827655550276757659630050304794116132717106626859886415844982371_<158>] SUBMIT/RESERVE

(79·10¹⁹⁶-7)/9 =: 8(7)₁₉₆_<197>; = 3 · 23 · 419 · 33409 · 219731 · 634903 · 986593 · 255134707 · 2415640197424793_<16> · 1208270010271860770530577_<25> · 886656628060908440576860408270451908148737487643112666696615156507435627066706047638669738278330000231018403605416609484201_<123>

(79·10¹⁹⁷-7)/9 =: 8(7)₁₉₇_<198>; = 29 · 15823 · 7609075226947_<13> · [251400350075079437268822700859414979079521765999642570817705964277890819431167074626658279760132912426773247616716424313280022251401463371065378047506832691756001923318212529262873_<180>] SUBMIT/RESERVE

(79·10¹⁹⁸-7)/9 =: 8(7)₁₉₈_<199>; = 1286209 · 47217478072347778516414417_<26> · [144534076007327483294015834553477161019199808201781278959371252262113722534800307802918300030512630351102520759280855616387259510287054700793882474466213738567899443809_<168>] (Wataru Sakai / GMP-ECM 6.0.1 B1=11000000, sigma=3186911299 for P26 / Jun 24, 2005) SUBMIT/RESERVE

(79·10¹⁹⁹-7)/9 =: 8(7)₁₉₉_<200>; = 3 · 127 · 1217 · 2427641747_<10> · 82857254789_<11> · [941139259797974567407311500976526020956324145400848345306122248371802129001325680562131021976208085326156411787601524142989725511359895132399573521230427231535134422577405147_<174>] SUBMIT/RESERVE

(79·10²⁰⁰-7)/9 =: 8(7)₂₀₀_<201>; = 12552959240238880156671133611977244215193772311428177779302543233603334526387_<77> · 69925964147484466181286398935166368644230263837598388909290350401694329924977506307770282327347615709798206665285899283888971_<125> (Alexander Mkrtychyan / ggnfs-0.77.1-20060513-win32 snfs / a few of P4 1.6GHz-3.2GHz, Xeon 2.8GHz, Windows 2000/XP/2003 / Dec 25, 2006)

Factorizations

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