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Small Mersenne Prime Factors
Prime numbers of the form Mp= 2p − 1 are called Mersenne primes. For Mp to be prime, p must also be prime.
Any factor q of a Mersenne number 2p − 1 must be of the form 2kp + 1, where integer k ≥ 0. Furthermore, q must be 1 or 7 mod 8.
Exponent Prime Factor Dig. Year
77746181334664770879911 ~2009
77746700031554934000711 ~2008
77747453991554949079911 ~2008
77749734111554994682311 ~2008
77750127111555002542311 ~2008
777506437312440102996912 ~2010
77756004014665360240711 ~2009
77756379831555127596711 ~2008
77757541911555150838311 ~2008
77765705414665942324711 ~2009
77771190231555423804711 ~2008
77774208111555484162311 ~2008
77776257116222100568911 ~2010
777767678918666424293712 ~2011
77777974791555559495911 ~2008
77778913334666734799911 ~2009
77779378191555587563911 ~2008
77782290774666937446311 ~2009
77791155014667469300711 ~2009
77796263391555925267911 ~2008
77796728391555934567911 ~2008
778024528720228637746312 ~2011
77804756391556095127911 ~2008
77807001111556140022311 ~2008
77815284591556305691911 ~2008
Exponent Prime Factor Dig. Year
77818213734669092823911 ~2009
77822953311556459066311 ~2008
77824208511556484170311 ~2008
77825439111556508782311 ~2008
77827072791556541455911 ~2008
77834953191556699063911 ~2008
77845549574670732974311 ~2009
77847426831556948536711 ~2008
77847672231556953444711 ~2008
77847740276227819221711 ~2010
778478677718683488264912 ~2011
778572371318685736911312 ~2011
77858059311557161186311 ~2008
77858861031557177220711 ~2008
77861287191557225743911 ~2008
77865694334671941659911 ~2009
778698364332705331300712 ~2011
77880379191557607583911 ~2008
77882694591557653891911 ~2008
77883085191557661703911 ~2008
77892725031557854500711 ~2008
77895156896231612551311 ~2010
77897872214673872332711 ~2009
77900954996232076399311 ~2010
77909907711558198154311 ~2008
Exponent Prime Factor Dig. Year
77910726231558214524711 ~2008
779107971735838966698312 ~2012
77917949031558358980711 ~2008
77923881111558477622311 ~2008
77926635591558532711911 ~2008
77928319191558566383911 ~2008
77929471191558589423911 ~2008
77929794591558595891911 ~2008
77932084134675925047911 ~2009
77939110911558782218311 ~2008
779446312918706711509712 ~2011
77945122277794512227111 ~2010
77946891831558937836711 ~2008
779477529723384325891112 ~2011
77950544511559010890311 ~2008
77952484911559049698311 ~2008
77963036237796303623111 ~2010
77967246296237379703311 ~2010
77972663774678359826311 ~2009
77975907111559518142311 ~2008
77979807614678788456711 ~2009
77983813191559676263911 ~2008
77984403716238752296911 ~2010
77987064231559741284711 ~2008
77995728711559914574311 ~2008
Exponent Prime Factor Dig. Year
77996958591559939171911 ~2008
77997481614679848896711 ~2009
77998482231559969644711 ~2008
780006967918720167229712 ~2011
78004330574680259834311 ~2009
78004968591560099371911 ~2008
78008365791560167315911 ~2008
78010636614680638196711 ~2009
78012590237801259023111 ~2010
780192537712483080603312 ~2010
780212580112483401281712 ~2010
78021434391560428687911 ~2008
78022639191560452783911 ~2008
78024379431560487588711 ~2008
780243835317165364376712 ~2011
78024782511560495650311 ~2008
78024956391560499127911 ~2008
78029047791560580955911 ~2008
78030183831560603676711 ~2008
78031699431560633988711 ~2008
78032112111560642242311 ~2008
78035252631560705052711 ~2008
78038455037803845503111 ~2010
78045703311560914066311 ~2008
780499813331219992532112 ~2011
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25-04-13