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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
54761290791095225815911 ~2007
547618752731761887656712 ~2011
54764657511095293150311 ~2007
54765696773285941806311 ~2008
54767886591095357731911 ~2007
54767943591095358871911 ~2007
54769284231095385684711 ~2007
54771502914381720232911 ~2009
54771623631095432472711 ~2007
54773165631095463312711 ~2007
54773680333286420819911 ~2008
54775986711095519734311 ~2007
54776949831095538996711 ~2007
54777724074382217925711 ~2009
54779686519860343571911 ~2009
54781346391095626927911 ~2007
54782729573286963774311 ~2008
54789830631095796612711 ~2007
54791167431095823348711 ~2007
54792536514383402920911 ~2009
54792746773287564806311 ~2008
54794235711095884714311 ~2007
54794667111095893342311 ~2007
54795879831095917596711 ~2007
54796839533287810371911 ~2008
Exponent Prime Factor Dig. Year
54797616591095952331911 ~2007
54798087831095961756711 ~2007
54798427791095968555911 ~2007
54799343631095986872711 ~2007
54799423791095988475911 ~2007
54801969711096039394311 ~2007
548042525927402126295112 ~2010
54805329795480532979111 ~2009
54808284114384662728911 ~2009
54810638391096212767911 ~2007
54816259311096325186311 ~2007
54816686573289001194311 ~2008
54817606933289056415911 ~2008
54821220831096424416711 ~2007
54824003511096480070311 ~2007
54825909774386072781711 ~2009
54826890111096537802311 ~2007
54831428031096628560711 ~2007
54832636191096652723911 ~2007
54835340991096706819911 ~2007
54836209311096724186311 ~2007
54837277074386982165711 ~2009
54840782511096815650311 ~2007
54841811773290508706311 ~2008
54842341791096846835911 ~2007
Exponent Prime Factor Dig. Year
54842578373290554702311 ~2008
54842918991096858379911 ~2007
54845463111096909262311 ~2007
54851701431097034028711 ~2007
54853679595485367959111 ~2009
54854181195485418119111 ~2009
54855037911097100758311 ~2007
54855876231097117524711 ~2007
54857311431097146228711 ~2007
54858251173291495070311 ~2008
54861442431097228848711 ~2007
54862025631097240512711 ~2007
54863632791097272655911 ~2007
54864997791097299955911 ~2007
54865050711097301014311 ~2007
54866549631097330992711 ~2007
54871051911097421038311 ~2007
54874184631097483692711 ~2007
54874500413292470024711 ~2008
54878059311097561186311 ~2007
54879105231097582104711 ~2007
54882524031097650480711 ~2007
54882743274390619461711 ~2009
54884246031097684920711 ~2007
54886950831097739016711 ~2007
Exponent Prime Factor Dig. Year
54890542973293432578311 ~2008
54891561111097831222311 ~2007
54891604311097832086311 ~2007
54895812711097916254311 ~2007
54898808991097976179911 ~2007
54900536031098010720711 ~2007
54901250511098025010311 ~2007
54906519114392521528911 ~2009
54907293231098145864711 ~2007
54907521294392601703311 ~2009
54907581591098151631911 ~2007
54911310831098226216711 ~2007
549126172916473785187112 ~2010
54912683391098253667911 ~2007
54914631111098292622311 ~2007
549150866920867732942312 ~2010
54915901191098318023911 ~2007
54917595711098351914311 ~2007
549182641321967305652112 ~2010
54918715431098374308711 ~2007
54921102591098422051911 ~2007
54923637111098472742311 ~2007
549238403917575628924912 ~2010
54924420773295465246311 ~2008
54928011777689921647911 ~2009
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25-07-08