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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
77847672231556953444711 ~2008
77847740276227819221711 ~2010
778478677718683488264912 ~2011
778572371318685736911312 ~2011
77858059311557161186311 ~2008
77858861031557177220711 ~2008
77858902911557178058311 ~2008
77861287191557225743911 ~2008
77865694334671941659911 ~2009
778698364332705331300712 ~2012
77880379191557607583911 ~2008
77882694591557653891911 ~2008
77883085191557661703911 ~2008
77885679591557713591911 ~2008
77892725031557854500711 ~2008
77895156896231612551311 ~2010
77897872214673872332711 ~2009
77900954996232076399311 ~2010
77909907711558198154311 ~2008
77910726231558214524711 ~2008
779107971735838966698312 ~2012
77913197991558263959911 ~2008
77917949031558358980711 ~2008
77923881111558477622311 ~2008
77926635591558532711911 ~2008
Exponent Prime Factor Dig. Year
77928319191558566383911 ~2008
77929471191558589423911 ~2008
77929794591558595891911 ~2008
77932084134675925047911 ~2009
77938976511558779530311 ~2008
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
77996958591559939171911 ~2008
77997481614679848896711 ~2009
77998482231559969644711 ~2008
780006967918720167229712 ~2011
Exponent Prime Factor Dig. Year
78004330574680259834311 ~2009
78004968591560099371911 ~2008
78008365791560167315911 ~2008
78009392031560187840711 ~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
78055073991561101479911 ~2008
78057199191561143983911 ~2008
78057949431561158988711 ~2008
Exponent Prime Factor Dig. Year
78068041934684082515911 ~2009
78069182391561383647911 ~2008
780705684117175525050312 ~2011
78072906111561458122311 ~2008
78076044111561520882311 ~2008
78076742334684604539911 ~2009
78081279231561625584711 ~2008
78085328391561706567911 ~2008
78085718216246857456911 ~2010
78086025591561720511911 ~2008
78098466231561969324711 ~2008
78104556711562091134311 ~2008
78105838311562116766311 ~2008
78106671711562133434311 ~2008
78106722734686403363911 ~2009
78106988391562139767911 ~2008
78107144516248571560911 ~2010
78107852991562157059911 ~2008
78109945191562198903911 ~2008
78114256311562285126311 ~2008
78119722791562394455911 ~2008
78120748431562414968711 ~2008
78125219096250017527311 ~2010
78126962991562539259911 ~2008
78133106511562662130311 ~2008
4493
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25-11-02