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Factorizations of 722...229

About 722...229
- First ten terms
- General term
Prime numbers of the form 722...229
Factorizations of 722...229
References

1. About 722...229

First ten terms

79, 729, 7229, 72229, 722229, 7222229, 72222229, 722222229, 7222222229, 72222222229

General term

(65·10ⁿ+61)/9

2. Prime numbers of the form 722...229

Last update

Aug 9, 2009

Searched up to

n≤10000

Difficulty of search

14.54%

Results

(65·10¹+61)/9 = 79 is prime.
(65·10³+61)/9 = 7229 is prime.
(65·10⁴+61)/9 = 72229 is prime.
(65·10⁷+61)/9 = 72222229 is prime.
(65·10⁹+61)/9 = 7222222229_<10> is prime.
(65·10¹³+61)/9 = 7(2)₁₂9_<14> is prime.
(65·10³³+61)/9 = 7(2)₃₂9_<34> is prime.
(65·10³⁷+61)/9 = 7(2)₃₆9_<38> is prime.
(65·10⁷⁶+61)/9 = 7(2)₇₅9_<77> is prime.
(65·10¹⁴⁷+61)/9 = 7(2)₁₄₆9_<148> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 6, 2005)
(65·10²⁹⁷+61)/9 = 7(2)₂₉₆9_<298> is prime. (searched by Makoto Kamada / Dec 6, 2004) (certified by Makoto Kamada / PPSIQS / Jan 6, 2005)
(65·10¹⁸⁵¹+61)/9 = 7(2)₁₈₅₀9_<1852> is prime. (searched by Makoto Kamada / PFGW / Dec 17, 2004) (certified by Tyler Cadigan / PRIMO 2.2.0 beta 6 / Jul 2, 2006)
(65·10³⁴⁵⁷+61)/9 = 7(2)₃₄₅₆9_<3458> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)
(65·10³⁶⁰⁹+61)/9 = 7(2)₃₆₀₈9_<3610> is PRP. (Makoto Kamada / PFGW / Dec 18, 2004)

3. Factorizations of 722...229

Last update

Nov 25, 2009

Completed up to

n≤100 / Jan 6, 2005
n≤150 / Nov 4, 2009

Range

n≤200

Terms which have not been factored yet

n=164, 166, 172, 174, 175, 177, 178, 181, 182, 183, 185, 186, 188, 191, 192, 193, 194, 196, 198 (19/200)

Results

(65·10¹+61)/9 =: 79; = definitely prime number

(65·10²+61)/9 =: 729; = 3⁶

(65·10³+61)/9 =: 7229; = definitely prime number

(65·10⁴+61)/9 =: 72229; = definitely prime number

(65·10⁵+61)/9 =: 722229; = 3 · 240743

(65·10⁶+61)/9 =: 7222229; = 7 · 17 · 137 · 443

(65·10⁷+61)/9 =: 72222229; = definitely prime number

(65·10⁸+61)/9 =: 722222229; = 3 · 269 · 894947

(65·10⁹+61)/9 =: 7222222229_<10>; = definitely prime number

(65·10¹⁰+61)/9 =: 72222222229_<11>; = 19 · 3801169591_<10>

(65·10¹¹+61)/9 =: 722222222229_<12>; = 3² · 193 · 19037 · 21841

(65·10¹²+61)/9 =: 7222222222229_<13>; = 7 · 3559 · 289897733

(65·10¹³+61)/9 =: 72222222222229_<14>; = definitely prime number

(65·10¹⁴+61)/9 =: 722222222222229_<15>; = 3 · 79 · 137 · 6379 · 3486979

(65·10¹⁵+61)/9 =: 7222222222222229_<16>; = 52289 · 138121253461_<12>

(65·10¹⁶+61)/9 =: 72222222222222229_<17>; = 349 · 12653 · 72173 · 226609

(65·10¹⁷+61)/9 =: 722222222222222229_<18>; = 3 · 240740740740740743_<18>

(65·10¹⁸+61)/9 =: 7222222222222222229_<19>; = 7 · 4906007 · 210302600821_<12>

(65·10¹⁹+61)/9 =: 72222222222222222229_<20>; = 23 · 18617 · 168668239692619_<15>

(65·10²⁰+61)/9 =: 722222222222222222229_<21>; = 3² · 4007 · 34631 · 578287710493_<12>

(65·10²¹+61)/9 =: 7222222222222222222229_<22>; = 29 · 67 · 75721 · 49088719762843_<14>

(65·10²²+61)/9 =: 72222222222222222222229_<23>; = 17² · 137 · 1824115935196176653_<19>

(65·10²³+61)/9 =: 722222222222222222222229_<24>; = 3 · 240740740740740740740743_<24>

(65·10²⁴+61)/9 =: 7222222222222222222222229_<25>; = 7 · 619 · 1433 · 1163150650144845361_<19>

(65·10²⁵+61)/9 =: 72222222222222222222222229_<26>; = 47 · 14447 · 2871881 · 37036409394701_<14>

(65·10²⁶+61)/9 =: 722222222222222222222222229_<27>; = 3 · 210391 · 1144253987769157144273_<22>

(65·10²⁷+61)/9 =: 7222222222222222222222222229_<28>; = 79 · 910646993 · 100390749830883307_<18>

(65·10²⁸+61)/9 =: 72222222222222222222222222229_<29>; = 19 · 49757 · 76394669908621397065763_<23>

(65·10²⁹+61)/9 =: 722222222222222222222222222229_<30>; = 3³ · 23406889999547_<14> · 1142781941297341_<16>

(65·10³⁰+61)/9 =: 7222222222222222222222222222229_<31>; = 7² · 137 · 1075856133207540923912143933_<28>

(65·10³¹+61)/9 =: 72222222222222222222222222222229_<32>; = 587 · 123036153700548930531894756767_<30>

(65·10³²+61)/9 =: 722222222222222222222222222222229_<33>; = 3 · 321817 · 1682449 · 212292121 · 2094425062151_<13>

(65·10³³+61)/9 =: 7222222222222222222222222222222229_<34>; = definitely prime number

(65·10³⁴+61)/9 =: 72222222222222222222222222222222229_<35>; = 89 · 401 · 2023654969940940408031108246861_<31>

(65·10³⁵+61)/9 =: 722222222222222222222222222222222229_<36>; = 3 · 2837 · 4943 · 17167207094307658647370345573_<29>

(65·10³⁶+61)/9 =: 7222222222222222222222222222222222229_<37>; = 7 · 1031746031746031746031746031746031747_<37>

(65·10³⁷+61)/9 =: 72222222222222222222222222222222222229_<38>; = definitely prime number

(65·10³⁸+61)/9 =: 722222222222222222222222222222222222229_<39>; = 3² · 17 · 137 · 2520211 · 63697661 · 214633971295299473059_<21>

(65·10³⁹+61)/9 =: 7222222222222222222222222222222222222229_<40>; = 2670057222038581_<16> · 2704894173282202676375009_<25>

(65·10⁴⁰+61)/9 =: 72222222222222222222222222222222222222229_<41>; = 79 · 5231 · 92832541 · 1882603222816837508573232281_<28>

(65·10⁴¹+61)/9 =: 722222222222222222222222222222222222222229_<42>; = 3 · 23 · 259639 · 40313622868129568653724517627190519_<35>

(65·10⁴²+61)/9 =: 7222222222222222222222222222222222222222229_<43>; = 7 · 107 · 293 · 373 · 142985509 · 617050277024600932241473421_<27>

(65·10⁴³+61)/9 =: 72222222222222222222222222222222222222222229_<44>; = 113 · 1840178537377_<13> · 347322119538572614650171157829_<30>

(65·10⁴⁴+61)/9 =: 722222222222222222222222222222222222222222229_<45>; = 3 · 5279 · 2964853 · 15381360992652405992644009650800789_<35>

(65·10⁴⁵+61)/9 =: 7222222222222222222222222222222222222222222229_<46>; = 1103 · 919729 · 7119269841665422325087391175825576267_<37>

(65·10⁴⁶+61)/9 =: 72222222222222222222222222222222222222222222229_<47>; = 19 · 137 · 157 · 200992087 · 899022033383_<12> · 978019989584893015819_<21>

(65·10⁴⁷+61)/9 =: 722222222222222222222222222222222222222222222229_<48>; = 3² · 73517 · 328172024622389851_<18> · 3326128356869236883641043_<25>

(65·10⁴⁸+61)/9 =: 7222222222222222222222222222222222222222222222229_<49>; = 7 · 2997864839_<10> · 13357320481_<11> · 25765668367474010043571929733_<29>

(65·10⁴⁹+61)/9 =: 72222222222222222222222222222222222222222222222229_<50>; = 29 · 597137 · 127905983 · 93222766798550017_<17> · 349772788397965943_<18>

(65·10⁵⁰+61)/9 =: 722222222222222222222222222222222222222222222222229_<51>; = 3 · 3730319 · 5451357241961_<13> · 11838562649012782234879676025377_<32>

(65·10⁵¹+61)/9 =: 7222222222222222222222222222222222222222222222222229_<52>; = 191 · 75787 · 737147 · 772986563 · 875622105447547408088942957617_<30>

(65·10⁵²+61)/9 =: 72222222222222222222222222222222222222222222222222229_<53>; = 3502277 · 20621504873036091155046337631838436029537989777_<47>

(65·10⁵³+61)/9 =: 722222222222222222222222222222222222222222222222222229_<54>; = 3 · 79 · 109 · 57107 · 25745717686097_<14> · 19015233141451922262939464024047_<32>

(65·10⁵⁴+61)/9 =: 7222222222222222222222222222222222222222222222222222229_<55>; = 7 · 17 · 67 · 137 · 55639 · 118836321527375063000351641770735319685176511_<45>

(65·10⁵⁵+61)/9 =: 72222222222222222222222222222222222222222222222222222229_<56>; = 59 · 257353 · 931486917771749077273_<21> · 5106376590592393982842265999_<28>

(65·10⁵⁶+61)/9 =: 722222222222222222222222222222222222222222222222222222229_<57>; = 3³ · 11927258169179_<14> · 2242675627038672086518695210718392621278813_<43>

(65·10⁵⁷+61)/9 =: 7222222222222222222222222222222222222222222222222222222229_<58>; = 131 · 2399 · 66617258289059_<14> · 13605248507710921_<17> · 25355727161218350738619_<23>

(65·10⁵⁸+61)/9 =: 72222222222222222222222222222222222222222222222222222222229_<59>; = 317 · 227830354013319313003855590606379249912372940764107956537_<57>

(65·10⁵⁹+61)/9 =: 722222222222222222222222222222222222222222222222222222222229_<60>; = 3 · 315521 · 31121979197_<11> · 1942353401856330857_<19> · 12621932815089513688220827_<26>

(65·10⁶⁰+61)/9 =: 7222222222222222222222222222222222222222222222222222222222229_<61>; = 7 · 30521943240449107382436967_<26> · 33803418858951078406847273434878341_<35>

(65·10⁶¹+61)/9 =: 72222222222222222222222222222222222222222222222222222222222229_<62>; = 11381758117_<11> · 5183512037471863_<16> · 1224157743156910356994051869205890199_<37>

(65·10⁶²+61)/9 =: 722222222222222222222222222222222222222222222222222222222222229_<63>; = 3 · 137 · 233 · 415189 · 2274138547803037_<16> · 7987490336050135299949109280574726231_<37>

(65·10⁶³+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222229_<64>; = 23 · 149 · 29256401485943073117420721_<26> · 72033718701986297953790331607990487_<35>

(65·10⁶⁴+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222229_<65>; = 19 · 142123 · 553921 · 144975824150845283_<18> · 333050019581907368183584200248964119_<36>

(65·10⁶⁵+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222229_<66>; = 3² · 811648230011_<12> · 2259850452521_<13> · 43750275438653050961914462583639059400351_<41>

(65·10⁶⁶+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222229_<67>; = 7 · 79 · 380223042607_<12> · 34348461002439920233555451547616408551239361613680899_<53>

(65·10⁶⁷+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222229_<68>; = 1543 · 118627039 · 1412383003_<10> · 247310023166337610613_<21> · 1129606103270992968989003243_<28>

(65·10⁶⁸+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222222229_<69>; = 3 · 227 · 35436238571_<11> · 29927891342401438497371351869735761275270713740474991079_<56>

(65·10⁶⁹+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222229_<70>; = 2731 · 2851 · 927581182654306090859088445422314797678347068598724084969347509_<63>

(65·10⁷⁰+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222229_<71>; = 17 · 137 · 552709 · 66602777 · 20427688837_<11> · 909850035047_<12> · 45323499468705896904347416309963_<32>

(65·10⁷¹+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222229_<72>; = 3 · 47 · 79319 · 23820544635821_<14> · 78640238276591_<14> · 34472914047466453729494172152666781141_<38>

(65·10⁷²+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222229_<73>; = 7² · 419 · 43804386887_<11> · 160540077932792564787031_<24> · 50021840683544679452761562584897847_<35>

(65·10⁷³+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222229_<74>; = 492727783 · 11080520315939_<14> · 13228288003595203471361513952378255923792411143695617_<53>

(65·10⁷⁴+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222229_<75>; = 3² · 39821203 · 2015180545405594943483925223962895183760443238750143072780772433727_<67>

(65·10⁷⁵+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222229_<76>; = 181 · 409 · 997 · 9233929051_<10> · 19482349577014271_<17> · 543933667586247535138645685480104464421873_<42>

(65·10⁷⁶+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222229_<77>; = definitely prime number

(65·10⁷⁷+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222229_<78>; = 3 · 29 · 1699 · 526853 · 5042495775539_<13> · 213816619109297396489614013_<27> · 8601649801433470224829438523_<28>

(65·10⁷⁸+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222229_<79>; = 7 · 89 · 137 · 688139 · 16329425857391_<14> · 804896685069097104023_<21> · 9355672428653136610686317284698577_<34>

(65·10⁷⁹+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222229_<80>; = 79 · 30059 · 971735834379712602264331_<24> · 31298318744983130682463358988497933058791160995219_<50>

(65·10⁸⁰+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222229_<81>; = 3 · 10837307970307619741_<20> · 22214072110927309342803696162828579975594134485157635210148723_<62>

(65·10⁸¹+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222229_<82>; = 984059 · 27131009 · 965484051832171_<15> · 6153801969402001_<16> · 45529737172826157126257978615555148029_<38>

(65·10⁸²+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222229_<83>; = 19 · 97 · 727 · 12809 · 67447 · 65231263 · 114016162676655979_<18> · 8389016150551900078811003694255361968252659_<43>

(65·10⁸³+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222229_<84>; = 3⁴ · 496163 · 5374599137_<10> · 7499857869790219_<16> · 445822868958223917042539042211410067312158347558181_<51>

(65·10⁸⁴+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<85>; = 7 · 1496489 · 5106856647103_<13> · 4120022740827237978839767964537_<31> · 32767702956737484458466910188809693_<35>

(65·10⁸⁵+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<86>; = 23 · 19123277 · 19591177 · 10766184470473_<14> · 778499521848831208036751648679575091924045569092913739919_<57>

(65·10⁸⁶+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<87>; = 3 · 17 · 137 · 260414153 · 34999975826684506509442376363_<29> · 11340906657684879646303413953892849921659227253_<47>

(65·10⁸⁷+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<88>; = 67 · 15901 · 6706988485617601_<16> · 22590078692048328452021_<23> · 44743123875136764586558835846991967819443847_<44>

(65·10⁸⁸+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<89>; = 148142251 · 487519406075598393750762044396248725977724087790607570977318430393110620563084479_<81>

(65·10⁸⁹+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<90>; = 3 · 2797 · 3083 · 1272500759_<10> · 1063715197789_<13> · 153347442958920983525737913_<27> · 134500422474954323212430811103157411_<36>

(65·10⁹⁰+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<91>; = 7 · 2053 · 1179527 · 1885406226623338480891419143_<28> · 225980535909291944163657844084834203364187868417390359_<54>

(65·10⁹¹+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<92>; = 1811 · 39879747223756058653905147555064727897417019449045953739493220442971961470028836124915639_<89>

(65·10⁹²+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<93>; = 3² · 79 · 197 · 5156262518810442304198863559740854178516154570471433115739055039532668096141291112269287_<88>

(65·10⁹³+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<94>; = 9199 · 5990711 · 7098893 · 1585696297_<10> · 602740215817104644602396992489499_<33> · 19315726514116810561029190022758859_<35>

(65·10⁹⁴+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<95>; = 137 · 337 · 473177297882221027_<18> · 3305951510327961206587918826741024303062989754912646425912750518114643583_<73>

(65·10⁹⁵+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<96>; = 3 · 107 · 2249913464866735894773277950848044305988231221876081689165801315334025614399446175147109726549_<94>

(65·10⁹⁶+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<97>; = 7 · 5657 · 216313644476181467_<18> · 6472223432822980433913758543183_<31> · 130271439623662735865201381831717686376927311_<45> (Makoto Kamada / msieve 0.83)

(65·10⁹⁷+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<98>; = 331 · 75589242733_<11> · 9241438378897_<13> · 312351277758159350687792225251929511119877732438590630096160985881317259_<72>

(65·10⁹⁸+61)/9 =: 722222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<99>; = 3 · 1087 · 119558844401_<12> · 23988693186652066562873510497_<29> · 77220347169112840200869840938708211166713881992400879337_<56>

(65·10⁹⁹+61)/9 =: 7222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<100>; = 1124293 · 7480783 · 7394400467809_<13> · 196566569912513_<15> · 275048685588203736191035327_<27> · 2147939688692154413213356930568449_<34>

(65·10¹⁰⁰+61)/9 =: 72222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222229_<101>; = 19² · 4124261682465809_<16> · 48508453828920244909589753174390354853354577521196757284743503827843908902179965821_<83>

(65·10¹⁰¹+61)/9 =: 7(2)₁₀₀9_<102>; = 3² · 229 · 10799 · 538487 · 8172487 · 83062406653_<11> · 88771864680435518127627201409621546325269543007959052753927434128667123_<71>

(65·10¹⁰²+61)/9 =: 7(2)₁₀₁9_<103>; = 7 · 17 · 137 · 38468687 · 175788552003242654918707023394121127082163_<42> · 65509663177054239063561837808654735019636969220503_<50> (Serge Batalov / Msieve 1.44 snfs / 0.26 hours / Oct 28, 2009)

(65·10¹⁰³+61)/9 =: 7(2)₁₀₂9_<104>; = 992191243 · 96367927033512847_<17> · 755340794156666261966433510782701815914227948218707334308849808459458008080049_<78>

(65·10¹⁰⁴+61)/9 =: 7(2)₁₀₃9_<105>; = 3 · 743 · 4139 · 158017 · 318523367 · 40936918812214106518239018554059251721_<38> · 37993131474820395090146307173650064397787555261_<47> (Erik Branger / YAFU, Msieve 1.38 for P38 x P47 / Oct 28, 2009)

(65·10¹⁰⁵+61)/9 =: 7(2)₁₀₄9_<106>; = 29 · 79 · 701 · 887 · 10039 · 13693 · 41221 · 894739343350136451786491030755564653033193936342240579908314930528110011353916392611_<84>

(65·10¹⁰⁶+61)/9 =: 7(2)₁₀₅9_<107>; = 829 · 4522523 · 1244594957798745193692550547_<28> · 15477738156441135531851093235432191002660881037915470367436339673652921_<71>

(65·10¹⁰⁷+61)/9 =: 7(2)₁₀₆9_<108>; = 3 · 23 · 79042814270215615286909496928517614545370473299_<47> · 132421761857768186465514068388207008726242724827202973362059_<60> (Erik Branger / GGNFS, Msieve snfs / 0.81 hours / Oct 28, 2009)

(65·10¹⁰⁸+61)/9 =: 7(2)₁₀₇9_<109>; = 7 · 438961 · 13263142989241_<14> · 177214975436202190729004230492789235181177008472431079061531746670129371024855673946257547_<90>

(65·10¹⁰⁹+61)/9 =: 7(2)₁₀₈9_<110>; = 4709487828360898387324386612503_<31> · 390256492078063373387821288756661_<33> · 39295881179793180187165871066836516474017742663_<47> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=1593956130 for P31 / Oct 27, 2009) (Lionel Debroux / msieve 1.44 SVN for P33*P47 / Oct 27, 2009)

(65·10¹¹⁰+61)/9 =: 7(2)₁₀₉9_<111>; = 3³ · 137 · 3839645717_<10> · 154298432602513_<15> · 1692398911594685715103_<22> · 194729213656551376460519733021555392352203795808940173648471317_<63>

(65·10¹¹¹+61)/9 =: 7(2)₁₁₀9_<112>; = 14428621383131545651735579585663_<32> · 18758370112130867494247173697377_<32> · 26683998610560713798271832980145381354268977407179_<50> (Erik Branger / GGNFS, Msieve snfs / 1.11 hours / Oct 28, 2009)

(65·10¹¹²+61)/9 =: 7(2)₁₁₁9_<113>; = 347 · 29089861234493_<14> · 3870942700115157509_<19> · 17052967828422343919835524482599283_<35> · 108388450419610024064669028124360926985192517_<45> (Lionel Debroux / msieve 1.44 SVN for P35*P45 / Oct 27, 2009)

(65·10¹¹³+61)/9 =: 7(2)₁₁₂9_<114>; = 3 · 59 · 461 · 134609 · 320591 · 20526040231_<11> · 482125455661_<12> · 6964685345696760527483647_<25> · 2975805162249673068073803284532532707054486256121339_<52>

(65·10¹¹⁴+61)/9 =: 7(2)₁₁₃9_<115>; = 7² · 8703160517_<10> · 810058678445683327_<18> · 8474840069499680633879_<22> · 2466889992897055433996910964326391461066707113598884756106530361_<64>

(65·10¹¹⁵+61)/9 =: 7(2)₁₁₄9_<116>; = 205397 · 328435207543886906309884067988371073769559_<42> · 1070599521074343091789542842721123619754026479476702613661538459978023_<70> (Erik Branger / GGNFS, Msieve snfs / 2.15 hours / Oct 28, 2009)

(65·10¹¹⁶+61)/9 =: 7(2)₁₁₅9_<117>; = 3 · 34527480997338766455831224411614972334483833577_<47> · 6972438584769506590625189732568805545326881025591814765362809896626159_<70> (Robert Backstrom / GGNFS-0.77.1-20051202-athlon, Msieve 1.43 snfs / 1.05 hours, 0.03 hours / Oct 28, 2009)

(65·10¹¹⁷+61)/9 =: 7(2)₁₁₆9_<118>; = 47 · 55405520323687_<14> · 42093341119931891329454249457027079313_<38> · 65888034547824796575698532984997713657408166425194274082537404797_<65> (Erik Branger / GGNFS, Msieve snfs / 1.41 hours / Oct 28, 2009)

(65·10¹¹⁸+61)/9 =: 7(2)₁₁₇9_<119>; = 17 · 19 · 79 · 137 · 653 · 128337683306291_<15> · 517425531559193_<15> · 548280083371707795632204455097579_<33> · 868966362189815188166774329395877969177200701821_<48> (Lionel Debroux / msieve 1.44 SVN for P33*P48 / Oct 27, 2009)

(65·10¹¹⁹+61)/9 =: 7(2)₁₁₈9_<120>; = 3² · 7761437 · 61337291745830448794575516401101672468419237064719_<50> · 168562748737289305529363034257681167433141794253215672631853727_<63> (Sinkiti Sibata / Msieve 1.40 snfs / 1.93 hours / Oct 29, 2009)

(65·10¹²⁰+61)/9 =: 7(2)₁₁₉9_<121>; = 7 · 67 · 431 · 6133 · 11551 · 1500585817_<10> · 336099099166573745350850775471486754075809350634787186713307123142413874815003159935063702642122101_<99>

(65·10¹²¹+61)/9 =: 7(2)₁₂₀9_<122>; = 179 · 7207 · 7309 · 801733 · 9292867 · 20970409353518247468689112397010047726039_<41> · 49025151298473527075633438557521717012039531437304980040413_<59> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 3.16 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Oct 28, 2009)

(65·10¹²²+61)/9 =: 7(2)₁₂₁9_<123>; = 3 · 89 · 2704952143154390345401581356637536412817311693716188098210570120682480233042030794839783603828547648772367873491468997087_<121>

(65·10¹²³+61)/9 =: 7(2)₁₂₂9_<124>; = 205592060411_<12> · 43832229960417833389559695476524062451127923298934897_<53> · 801439867065015004955353448349678622394919140325219877510687_<60> (Sinkiti Sibata / Msieve 1.40 snfs / 2.23 hours / Oct 28, 2009)

(65·10¹²⁴+61)/9 =: 7(2)₁₂₃9_<125>; = 157 · 1361 · 16337231 · 8752508721976620472241_<22> · 1492298734830473283481757133433_<31> · 1583967610672306537107773685027211260847800163005152420095439_<61> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=4122910278 for P31 / Oct 27, 2009)

(65·10¹²⁵+61)/9 =: 7(2)₁₂₄9_<126>; = 3 · 5148255814658105803_<19> · 27842862757015816909787_<23> · 1679482903058174148095489726812504413825327458908721261929409092133604294488819289263_<85>

(65·10¹²⁶+61)/9 =: 7(2)₁₂₅9_<127>; = 7 · 137 · 2693 · 3659 · 20542664819_<11> · 15193363422827290085032695332644547_<35> · 2448740537559816205518627871366084111247050230424994294311328218002298741_<73> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=1708489674 for P35 / Oct 27, 2009)

(65·10¹²⁷+61)/9 =: 7(2)₁₂₆9_<128>; = 8447 · 21980251651453057_<17> · 26905689018508717_<17> · 14457445853800750070406601142335152249516274644055051507543111083109853302046678410779437303_<92>

(65·10¹²⁸+61)/9 =: 7(2)₁₂₇9_<129>; = 3² · 2441 · 4799 · 7573 · 6324167 · 106359192465271_<15> · 3062056403117293949_<19> · 439187837371497108974960810013463815469703999404555562554851754606346527796731_<78>

(65·10¹²⁹+61)/9 =: 7(2)₁₂₈9_<130>; = 23 · 1051649 · 5940104473_<10> · 1299687260494639055853458488453_<31> · 38675795272864181888327435424728987430680410250493217984518152785574400999715244783_<83> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=3351021807 for P31 / Oct 27, 2009)

(65·10¹³⁰+61)/9 =: 7(2)₁₂₉9_<131>; = 5309 · 133853 · 11432210892981839783_<20> · 88242340891347424067333022942264527163159569_<44> · 100744829127432112190700097504794978919085457423286387865851_<60> (Erik Branger / GGNFS, Msieve snfs / 5.60 hours / Oct 29, 2009)

(65·10¹³¹+61)/9 =: 7(2)₁₃₀9_<132>; = 3 · 79 · 1280509510648682082491308652467981505699141252049001_<52> · 2379795794779564354598086165038364450138527040490957073655723750806221001915617_<79> (Dmitry Domanov / GGNFS/msieve snfs / 3.55 hours / Oct 28, 2009)

(65·10¹³²+61)/9 =: 7(2)₁₃₁9_<133>; = 7 · 349 · 563 · 37488636233_<11> · 44804066959713489513383900734129423_<35> · 3126237051041867378672590493787187095411873924850612491179534132419459662593835059_<82> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=1255258451 for P35 / Oct 27, 2009)

(65·10¹³³+61)/9 =: 7(2)₁₃₂9_<134>; = 29 · 2490421455938697318007662835249042145593869731800766283524904214559386973180076628352490421455938697318007662835249042145593869731801_<133>

(65·10¹³⁴+61)/9 =: 7(2)₁₃₃9_<135>; = 3 · 17 · 137 · 14707723 · 8170620663352175538141363624278865919798181514357283034749_<58> · 860160735400974356984124869352479240710535091232943755301407369921_<66> (Dmitry Domanov / GGNFS/msieve snfs / 3.37 hours / Oct 29, 2009)

(65·10¹³⁵+61)/9 =: 7(2)₁₃₄9_<136>; = 307 · 1447 · 13219 · 875589763782015060461_<21> · 444759037950382792341532832717513_<33> · 3158201824817562520240024891206958291877439724777382279759569441052060303_<73> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=2255040046 for P33 / Oct 27, 2009)

(65·10¹³⁶+61)/9 =: 7(2)₁₃₅9_<137>; = 19 · 283 · 14510818554229085981_<20> · 1995833916914975901278263084933_<31> · 463782652814233898622743602486092012250611532103575657790371783942556256527609550149_<84> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=2311777552 for P31 / Oct 27, 2009)

(65·10¹³⁷+61)/9 =: 7(2)₁₃₆9_<138>; = 3³ · 317 · 3739 · 67085701 · 266046577633_<12> · 935723036004721_<15> · 396462126273175069696967509_<27> · 53750331535385730807634187798447_<32> · 63412451392166368901881318059353759911_<38> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=3339361508 for P32 / Oct 27, 2009)

(65·10¹³⁸+61)/9 =: 7(2)₁₃₇9_<139>; = 7 · 820888039693842689_<18> · 231983952017062808710371389960379972197_<39> · 5417899396106871046513719119689905295688836403624747656508338369048000425620143559_<82> (Erik Branger / GGNFS, Msieve snfs / 5.96 hours / Oct 30, 2009)

(65·10¹³⁹+61)/9 =: 7(2)₁₃₈9_<140>; = 35993 · 2953817 · 127967053553_<12> · 5308490503083768419279732014801977843599010463496652336829514083763669484724169600744280230833546842414652992573796853_<118>

(65·10¹⁴⁰+61)/9 =: 7(2)₁₃₉9_<141>; = 3 · 193021021 · 356165375656999252445363_<24> · 3501815707111605542559337422926233420364756082698783605951713632886800887210619912580585523170020376602317441_<109>

(65·10¹⁴¹+61)/9 =: 7(2)₁₄₀9_<142>; = 358766473084686703179929984890907_<33> · 20130705525868408385391206728208092020892682581578116578818133631830777222168586570180891734545395823755832847_<110> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=3803133842 for P33 / Oct 27, 2009)

(65·10¹⁴²+61)/9 =: 7(2)₁₄₁9_<143>; = 137 · 1440473 · 365969723328167242785495130536639889602271418451110968067622020720080800214352858589987492106377923896876423018725597043837107328823029_<135>

(65·10¹⁴³+61)/9 =: 7(2)₁₄₂9_<144>; = 3 · 8462044844178109_<16> · 11649533412959314873261_<23> · 12216914850339631807211_<23> · 199896040448949978609392890602450766578306171331533600141953638703978124122282800637_<84>

(65·10¹⁴⁴+61)/9 =: 7(2)₁₄₃9_<145>; = 7 · 79 · 383 · 245257 · 8872506011_<10> · 573810856700401763_<18> · 73002722282187171546320987_<26> · 2710784972328871260415851531512668657_<37> · 137999128056006996669870619864059449927683169_<45> (Lionel Debroux / msieve 1.44 SVN for P37*P45 / Oct 27, 2009)

(65·10¹⁴⁵+61)/9 =: 7(2)₁₄₄9_<146>; = 4567 · 32507 · 2377552747_<10> · 20427581079590249743312811_<26> · 307612003882533192466162179959890897483_<39> · 32562111705498173818995270175103940957045285341969951204013230131_<65> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 22.18 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 3, 2009)

(65·10¹⁴⁶+61)/9 =: 7(2)₁₄₅9_<147>; = 3² · 191 · 2273 · 17467 · 1051200091327_<13> · 47645120860270898298448305805449787693979_<41> · 211287299156290379567438713165594495647746076624871867301330728457195003401075257397_<84> (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 24.17 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 3, 2009)

(65·10¹⁴⁷+61)/9 =: 7(2)₁₄₆9_<148>; = definitely prime number

(65·10¹⁴⁸+61)/9 =: 7(2)₁₄₇9_<149>; = 107 · 311 · 928044632639367136695800189501_<30> · 50242177561928748451743732864142031671748151278840517047_<56> · 46546750019341659505338843132529449656489198973335043828091_<59> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=4276631028 for P30 / Oct 27, 2009) (Sinkiti Sibata / GGNFS-0.77.1-20060513-k8 snfs / 28.48 hours on Core 2 Duo E6300 1.86GHz, Windows Vista / Nov 4, 2009)

(65·10¹⁴⁹+61)/9 =: 7(2)₁₄₈9_<150>; = 3 · 5709689 · 1867093043_<10> · 178257571727114231808017_<24> · 126684415565138123968485083397250840604289554677691434684010156605411062512827884314631081200789511561149489077_<111>

(65·10¹⁵⁰+61)/9 =: 7(2)₁₄₉9_<151>; = 7 · 17 · 137 · 166237 · 30332023 · 148432859429_<12> · 15689906023091028645101_<23> · 37724531334799251891946574314805749978133592509460769671773965320116704456983694503607128280854102017_<101>

(65·10¹⁵¹+61)/9 =: 7(2)₁₅₀9_<152>; = 23 · 3361 · 5465671494361698817297_<22> · 170934990890344067907549775457666337081041842215956190660515532891979748285219200914845011759557277585981575915597915326496419_<126>

(65·10¹⁵²+61)/9 =: 7(2)₁₅₁9_<153>; = 3 · 31146531695975924298765364037305309_<35> · 7729295290102686139699794454856781365379879804351612416391812646752847109285668325511683064669740001403032177197768627_<118> (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=190775455 for P35 / Oct 28, 2009)

(65·10¹⁵³+61)/9 =: 7(2)₁₅₂9_<154>; = 67 · 96331 · 1245228940479736231_<19> · 7421221737352505977_<19> · 36125625388677553975861211_<26> · 400813258261206456044336567_<27> · 8362726802131928006305075139968107635041098114088650808583_<58>

(65·10¹⁵⁴+61)/9 =: 7(2)₁₅₃9_<155>; = 19 · 3801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169590643274853801169591_<154>

(65·10¹⁵⁵+61)/9 =: 7(2)₁₅₄9_<156>; = 3² · 113 · 76699513890792197683_<20> · 9258855000208206361303423911137594545949242329466762257473710586168197235167332687182666809022471314086454133300055762836619334807439_<133>

(65·10¹⁵⁶+61)/9 =: 7(2)₁₅₅9_<157>; = 7³ · 23041 · 290912309 · 605691835518887929525069079127539502706299835330479941_<54> · 5186347188194532049169964537904314800100966481543495236359524310108165939442379395721307_<88> (Erik Branger / GGNFS, Msieve snfs / 29.78 hours / Nov 12, 2009)

(65·10¹⁵⁷+61)/9 =: 7(2)₁₅₆9_<158>; = 79 · 153773771 · 85677699739844835667027_<23> · 1389841419191345191370059_<25> · 70655337767515623403718126937284154445695756983599_<50> · 706615998528579354350895287081083417163425558047983_<51> (Dmitry Domanov / GGNFS/msieve gnfs for P50 x P51 / 4.53 hours / Oct 30, 2009)

(65·10¹⁵⁸+61)/9 =: 7(2)₁₅₇9_<159>; = 3 · 137 · 30859 · 56943895921416232186930936103946473929275383405222373754309568797078858736745574524092922941654031473206657344162450387302155989637998104574240959111821_<152>

(65·10¹⁵⁹+61)/9 =: 7(2)₁₅₈9_<160>; = 167 · 455921 · 4001016979670712233_<19> · 5379908203555946771_<19> · 96383262843725875562456351579696025282506312998383983_<53> · 45721228945729185309354981526914135704408442080201681269449463_<62> (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P53 x P62 / 15.08 hours on Core 2 Quad Q6700 / Nov 12, 2009)

(65·10¹⁶⁰+61)/9 =: 7(2)₁₅₉9_<161>; = 18288792332487582701_<20> · 66638509554322352469901609781_<29> · 59259849422423297239430390087538338656842715270442970092671066500927906303864522800261835608929877890045123363909_<113>

(65·10¹⁶¹+61)/9 =: 7(2)₁₆₀9_<162>; = 3 · 29 · 109 · 779044817049260919349_<21> · 97760328911637385476245606989002042891011959733370999322803208114264451462712125338017245765576679234945033272618884522752956164562782787_<137>

(65·10¹⁶²+61)/9 =: 7(2)₁₆₁9_<163>; = 7 · 433 · 40118289197111849803_<20> · 13579168028242955813092310115106577_<35> · 4373904977664475284540946690165627879231370447085692210555464579063477417774709742461792175457447644986089_<106> (Jo Yeong Uk / GMP-ECM 6.2.3 B1=1000000, sigma=4563230118 for P35 / Nov 18, 2009)

(65·10¹⁶³+61)/9 =: 7(2)₁₆₂9_<164>; = 47 · 178307 · 2141480897_<10> · 3434609241117430148911986077_<28> · 1171690901258567939598045071956159595592520812830058953977129334403818532869092323693744074489101146854295040122450192829_<121>

(65·10¹⁶⁴+61)/9 =: 7(2)₁₆₃9_<165>; = 3⁴ · 319001 · 17439599 · [1602718644584274818803163723477909962133415966700972038765533352034751949940452264830643947910679050139435670063108805415833738405346671012673616073091_<151>] RESERVED

(65·10¹⁶⁵+61)/9 =: 7(2)₁₆₄9_<166>; = 971 · 7437921959034214441011557386428653163977571804554296830300949765419384368920929168097036274173246366861196933287561505893122782927108364801464698478086737612999199_<163>

(65·10¹⁶⁶+61)/9 =: 7(2)₁₆₅9_<167>; = 17 · 89 · 137 · 224359 · 342267997426477_<15> · 3264304339047261683_<19> · [1389987581723173895596548377609939173843736140303008202201819784338719027287887136391659956712211103906587187700701876403461_<124>] SUBMIT/RESERVE

(65·10¹⁶⁷+61)/9 =: 7(2)₁₆₆9_<168>; = 3 · 3163 · 1283549 · 1810364976295258400527_<22> · 6731034634722746219253576990142331_<34> · 43887433213139645955484994448382146047239_<41> · 110879128047013805011879885468739184560992940355555347685320723_<63> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=2647962607 for P34 / Nov 18, 2009) (Dmitry Domanov / GGNFS/msieve gnfs for P41 x P63 / 6.11 hours / Nov 19, 2009)

(65·10¹⁶⁸+61)/9 =: 7(2)₁₆₇9_<169>; = 7 · 263 · 55893627458327_<14> · 16686719216640258914430547376206697539119714819396999595221215196753619_<71> · 4206140780347737673879122417993167985752911241206637624428896147475792512758851313_<82> (Erik Branger / GGNFS, Msieve snfs / 123.43 hours / Nov 24, 2009)

(65·10¹⁶⁹+61)/9 =: 7(2)₁₆₈9_<170>; = 2609 · 114311 · 223969 · 1518465183869_<13> · 712059023775232227354597031208502616880534638253021877270214334569108463311616789720450463107769133239137607691226620011614215468989683323066511_<144>

(65·10¹⁷⁰+61)/9 =: 7(2)₁₆₉9_<171>; = 3 · 79 · 2293 · 140130990851_<12> · 3757774694852316444096913_<25> · 10144116873340791964390133_<26> · 21971222154598869664832900623562106017_<38> · 11323613996205652033225521245915447835096235974204481742262021487883_<68> (shyguy7129 / GGNFS and Msieve v1.40 gnfs for P38 x P68 / 21.65 hours on Windows Vista and Cygwin for GGNFS and Msieve / Nov 8, 2009)

(65·10¹⁷¹+61)/9 =: 7(2)₁₇₀9_<172>; = 59 · 103231 · 288734940313_<12> · 5341730797111883898281272847651922239_<37> · 768824761082780205497364438889436595941143966789197894042997226025202898341403395396514044299198931236559010774835143_<117> (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=3634509346 for P37 / Nov 23, 2009)

(65·10¹⁷²+61)/9 =: 7(2)₁₇₁9_<173>; = 19 · 4789 · 6709 · 128203 · 191449 · 30250525428831522348733_<23> · [159342051643700955632722802405399878243230697269762585630457577220336222141042732455878118983704399732526111493211120036336681532441_<132>] SUBMIT/RESERVE

(65·10¹⁷³+61)/9 =: 7(2)₁₇₂9_<174>; = 3² · 23 · 1272151225236952031_<19> · 61994594635384241958228623777_<29> · 44239268430837816479803031126590826636344907081815021292747202313169022088602589667935762363751621300733132042879864352868581_<125>

(65·10¹⁷⁴+61)/9 =: 7(2)₁₇₃9_<175>; = 7 · 137 · 73144265000977_<14> · 44309948905986137705829231299_<29> · [2323649987069910592795636341074804972989111742399258388474849846395278728410984958683734006972087561789715258518521796966773896297_<130>] SUBMIT/RESERVE

(65·10¹⁷⁵+61)/9 =: 7(2)₁₇₄9_<176>; = 257 · 18043 · 122764856320010456799822246017_<30> · [126868824188125085812400175114179042033925883789018869741238519031662980656147301076883670096273907097413567633820547851969815059048312525487_<141>] (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=3522825804 for P30 / Oct 27, 2009) SUBMIT/RESERVE

(65·10¹⁷⁶+61)/9 =: 7(2)₁₇₅9_<177>; = 3 · 240740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743_<177>

(65·10¹⁷⁷+61)/9 =: 7(2)₁₇₆9_<178>; = 562291550699141290823_<21> · [12844265956410452089816224512957929179950225333208019633006137275985713587921485614813212234659914861688803549343451095802129427236720199462054885913621037123_<158>] SUBMIT/RESERVE

(65·10¹⁷⁸+61)/9 =: 7(2)₁₇₇9_<179>; = 97 · 3413 · 8290448483845006859_<19> · 52204850628611364539_<20> · [504050375031783141994670447961617256051695633347279898302420862858388777885881329325182788223277642761968583500080845056074296779172889_<135>] SUBMIT/RESERVE

(65·10¹⁷⁹+61)/9 =: 7(2)₁₇₈9_<180>; = 3 · 87323 · 1020080559737_<13> · 54796149540726227_<17> · 83447890470698339_<17> · 27708832797767384789479_<23> · 21317743601667445804930194324444375759367676750060383_<53> · 1000602544242060901983833714061031406596803672213547933_<55> (Jo Yeong Uk / GGNFS/Msieve v1.39 gnfs for P53 x P55 / 5.92 hours on Core 2 Quad Q6700 / Nov 4, 2009)

(65·10¹⁸⁰+61)/9 =: 7(2)₁₇₉9_<181>; = 7 · 16969951315066469_<17> · 577243737424804803778319_<24> · 105325366958253852426091126610111398531149873584604606580314152952035701977718486748376206740061494241394799500113033954849132549463138392777_<141>

(65·10¹⁸¹+61)/9 =: 7(2)₁₈₀9_<182>; = 227 · 571 · 599 · 10665653242772619930956681167_<29> · [87215685656408949601618301756123775703621505692561026790044713257625638729620648912887669740757577925065028871165201044694869347589707983122114189_<146>] SUBMIT/RESERVE

(65·10¹⁸²+61)/9 =: 7(2)₁₈₁9_<183>; = 3² · 17 · 137 · 30304481 · 131580257 · 581253629498053_<15> · [14866050047667903281526977706588484519306058950395520804908632132768747477900234246407285429503711676977009325789212043285713843439323687201988453489_<149>] SUBMIT/RESERVE

(65·10¹⁸³+61)/9 =: 7(2)₁₈₂9_<184>; = 79 · 601 · 1551648953_<10> · [98033794143114149620657862589090155042731025158852580230130201605100613735945180489076756753142350360882488990779269829185363102989897041627679221938893509447373930901867_<170>] SUBMIT/RESERVE

(65·10¹⁸⁴+61)/9 =: 7(2)₁₈₃9_<185>; = 7416636363322081411734736677307481195492064107754843900863362332033982448906537_<79> · 9737867502765395606014252796988801940512562554168295027040851239051448736911790559819965758531428016050317_<106> (Dmitry Domanov / GGNFS/msieve snfs / 356.27 hours / Nov 10, 2009)

(65·10¹⁸⁵+61)/9 =: 7(2)₁₈₄9_<186>; = 3 · 35141952992942757477971514122621284567_<38> · [6850522530409352594617032385273079677147742201520609487175172835765408849862204938465321362129623843494992872240521378843361310626504793995366334929_<148>] (Dmitry Domanov / ECMNET, GMP-ECM B1=11000000, sigma=2647286449 for P38 / Oct 28, 2009) SUBMIT/RESERVE

(65·10¹⁸⁶+61)/9 =: 7(2)₁₈₅9_<187>; = 7 · 67 · 112577 · 1067597 · 18394699 · [6965435946711763210517991307004543148789443354930653059778575110170162459627650130061641756570597234259619400336780646168350932669185579641429598490936294090506604911_<166>] SUBMIT/RESERVE

(65·10¹⁸⁷+61)/9 =: 7(2)₁₈₆9_<188>; = 131 · 5507 · 220729284101_<12> · 2299975915314223_<16> · 1109471659166831215174847_<25> · 1512052274095148841868452958388463932723_<40> · 309843707618510847624745331660074576027487_<42> · 379380961349370970936336620824720600414315083305277_<51> (Wataru Sakai / GMP-ECM 6.2.1 B1=3000000, sigma=2945990577 for P40 / Oct 30, 2009) (Sinkiti Sibata / Msieve 1.42 for P42 x P51 / 1.64 hours / Oct 31, 2009)

(65·10¹⁸⁸+61)/9 =: 7(2)₁₈₇9_<189>; = 3 · 293 · 17618305459_<11> · 40448486939757398166883_<23> · 26698923854875314340798347271_<29> · [43183893831171579056172495878428075474083650110965901322838323376337304577897666541047030790469355087210649553084842494580373_<125>] SUBMIT/RESERVE

(65·10¹⁸⁹+61)/9 =: 7(2)₁₈₈9_<190>; = 29 · 1019 · 981731 · 1766441 · 61378521238216175612033_<23> · 2296098966383432491093835574761746304489827342123017905206023952945344178925601729970629888315637318294237397256935431966726325644699686316167470648353_<151>

(65·10¹⁹⁰+61)/9 =: 7(2)₁₈₉9_<191>; = 19 · 137 · 197 · 367 · 14389 · 44837333 · 594831561542177931261870808748993606978437854793801145850019454470709775521470064564935559523872627433670673987928080840127200146478907219392431735315796249677388960326661_<171>

(65·10¹⁹¹+61)/9 =: 7(2)₁₉₀9_<192>; = 3³ · 20161 · 208469 · 2664946518089_<13> · [2388168867565314902520177708252813868847411594624072568738566364491211851761424375847886695958485866451485524644180494217674148331820092140699523419510750372382071058427_<169>] SUBMIT/RESERVE

(65·10¹⁹²+61)/9 =: 7(2)₁₉₁9_<193>; = 7 · 943801 · [1093181753087813793407451392556303443238294970810617647185949190291207305387201361034828047471602627827298070283614905839294243205660972753823895113213518258649594598592321629275393893147_<187>] SUBMIT/RESERVE

(65·10¹⁹³+61)/9 =: 7(2)₁₉₂9_<194>; = 1657 · 69910292270629679686753139502443_<32> · [623458027259438667264268002873322118935307190660713803705231448367114233808857243522982950095678028774712176464801358173365168498962504536084692450291530516279_<159>] (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=4101041096 for P32 / Oct 27, 2009) SUBMIT/RESERVE

(65·10¹⁹⁴+61)/9 =: 7(2)₁₉₃9_<195>; = 3 · 3863262377107351718513175904607_<31> · [62315400105181899595739862764364010143071777026486964670230434858576459408013518398737602984305173176700508070523109996780357079867110929925539087651611219776345049_<164>] (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=520475715 for P31 / Oct 27, 2009) SUBMIT/RESERVE

(65·10¹⁹⁵+61)/9 =: 7(2)₁₉₄9_<196>; = 23 · 23909 · 820901 · 3421853 · 785460839475598823_<18> · 20459422897008076561147933_<26> · 204366893515100726925123099353387983_<36> · 1423642700175522641120866731581994939077158465848900475458033814967621546699698177938623281353636667_<100> (Lionel Debroux / GMP-ECM 6.2.3 B1=1e6, sigma=4273689609 for P36 / Oct 27, 2009)

(65·10¹⁹⁶+61)/9 =: 7(2)₁₉₅9_<197>; = 79 · 3581 · 27827 · 1650960235877_<13> · [5556949290338543864653496673980919678390217227327600934039979334669223244186051825919546977662391744781600870605289510723145028805826341368453142163138920517166664889225891049_<175>] SUBMIT/RESERVE

(65·10¹⁹⁷+61)/9 =: 7(2)₁₉₆9_<198>; = 3 · 240740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740740743_<198>

(65·10¹⁹⁸+61)/9 =: 7(2)₁₉₇9_<199>; = 7² · 17 · 137 · [63285654894561230818361407823470020611650986428634714226323132659389789979252041449183079557857206142797751704087961218550680612877754508129285777571369180275516532647122109184306325936700714349_<194>] SUBMIT/RESERVE

(65·10¹⁹⁹+61)/9 =: 7(2)₁₉₈9_<200>; = 50647 · 1425992106585231548210599289636547519541576445243000024132174111442380046640911055387727253780524457958461946852177270563354635461571706561538140901183134681663715959923040302924600118905803349107_<196>

(65·10²⁰⁰+61)/9 =: 7(2)₁₉₉9_<201>; = 3² · 2143 · 32563 · 48409 · 48821 · 32210197 · 15106212661661248291590237415446812339875063429512159225006846061419159321943205487581522870560335313576185576571529110958538142931850181496954656735694293260373253638962457873_<176>

4. References

A103054 (On-Line Encyclopedia of Integer Sequences)