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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
55292155791105843115911 ~2007
55292413791105848275911 ~2007
55293017031105860340711 ~2007
55293163613317589816711 ~2008
55296064431105921288711 ~2007
55297231191105944623911 ~2007
55297405191105948103911 ~2007
553007958713272191008912 ~2010
55302455511106049110311 ~2007
55304285391106085707911 ~2007
55304435595530443559111 ~2009
55307830311106156606311 ~2007
55309106991106182139911 ~2007
55309468911106189378311 ~2007
55312255431106245108711 ~2007
55313284573318797074311 ~2008
55316108391106322167911 ~2007
55317053573319023214311 ~2008
553183891130978297901712 ~2011
55319606391106392127911 ~2007
553216630727660831535112 ~2011
55324079835532407983111 ~2009
55324987919958497823911 ~2009
55325353311106507066311 ~2007
55326277311106525546311 ~2007
Exponent Prime Factor Dig. Year
55326447231106528944711 ~2007
55326588711106531774311 ~2007
55332633111106652662311 ~2007
55332650991106653019911 ~2007
55333406991106668139911 ~2007
55333971831106679436711 ~2007
55335797595533579759111 ~2009
55335973791106719475911 ~2007
55337017911106740358311 ~2007
55339183431106783668711 ~2007
55341127333320467639911 ~2008
55342531573320551894311 ~2008
55343789631106875792711 ~2007
55344561111106891222311 ~2007
55345100991106902019911 ~2007
55346179431106923588711 ~2007
55346411631106928232711 ~2007
55347386418855581825711 ~2009
55349452431106989048711 ~2007
55349512911106990258311 ~2007
55355009813321300588711 ~2008
55355423391107108467911 ~2007
55356163431107123268711 ~2007
55357143111107142862311 ~2007
55357537911107150758311 ~2007
Exponent Prime Factor Dig. Year
55358533911107170678311 ~2007
55360290018857646401711 ~2009
55360600914428848072911 ~2009
55360830897750516324711 ~2009
55363279431107265588711 ~2007
55366476733321988603911 ~2008
55366762311107335246311 ~2007
55371803031107436060711 ~2007
55374428031107488560711 ~2007
55376892075537689207111 ~2009
55377912013322674720711 ~2008
55378915515537891551111 ~2009
55381349631107626992711 ~2007
55381472694430517815311 ~2009
55381632711107632654311 ~2007
55381733391107634667911 ~2007
55385509431107710188711 ~2007
553878514117724112451312 ~2010
55391376831107827536711 ~2007
55394404791107888095911 ~2007
55399010391107980207911 ~2007
55399067879971832216711 ~2009
55399210911107984218311 ~2007
55399290711107985814311 ~2007
554043260913297038261712 ~2010
Exponent Prime Factor Dig. Year
55411288911108225778311 ~2007
55414868933324892135911 ~2008
55415462991108309259911 ~2007
55416772791108335455911 ~2007
55417929111108358582311 ~2007
55418170911108363418311 ~2007
55418791278867006603311 ~2009
55421413995542141399111 ~2009
55422324973325339498311 ~2008
55423106391108462127911 ~2007
554250120713302002896912 ~2010
55425055431108501108711 ~2007
55425643431108512868711 ~2007
55425774591108515491911 ~2007
554273544122170941764112 ~2010
55427410191108548203911 ~2007
55427656911108553138311 ~2007
55428167031108563340711 ~2007
55428303831108566076711 ~2007
55428714177760019983911 ~2009
55430573631108611472711 ~2007
55431362333325881739911 ~2008
55438796511108775930311 ~2007
55439170911108783418311 ~2007
554398812718849559631912 ~2010
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