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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
50032755231000655104711 ~2007
50034378231000687564711 ~2007
50039710791000794215911 ~2007
50041664511000833290311 ~2007
50046859791000937195911 ~2007
50048654511000973090311 ~2007
50050344174004027533711 ~2008
50052690231001053804711 ~2007
50052721791001054435911 ~2007
50054516214004361296911 ~2008
50054580711001091614311 ~2007
50054863191001097263911 ~2007
50055136374004410909711 ~2008
50055883311001117666311 ~2007
50056536231001130724711 ~2007
50057125311001142506311 ~2007
50057805111001156102311 ~2007
500593429332037979475312 ~2010
50060316711001206334311 ~2007
50062021013003721260711 ~2008
50063696178010191387311 ~2009
50065413111001308262311 ~2007
50066617911001332358311 ~2007
50070259679012646740711 ~2009
50072707431001454148711 ~2007
Exponent Prime Factor Dig. Year
50073379311001467586311 ~2007
50075227911001504558311 ~2007
50079775919014359663911 ~2009
50082018711001640374311 ~2007
50083778511001675570311 ~2007
50084367111001687342311 ~2007
50086455711001729114311 ~2007
50086659111001733182311 ~2007
50087136831001742736711 ~2007
50087224933005233495911 ~2008
50088646431001772928711 ~2007
50094750111001895002311 ~2007
50097076974007766157711 ~2008
50098454173005907250311 ~2008
50098879311001977586311 ~2007
50102871978016459515311 ~2009
50103154674008252373711 ~2008
50103209631002064192711 ~2007
50103932533006235951911 ~2008
50105616591002112331911 ~2007
50107039791002140795911 ~2007
50111364915011136491111 ~2008
50112496791002249935911 ~2007
50113022511002260450311 ~2007
50113490391002269807911 ~2007
Exponent Prime Factor Dig. Year
50113856631002277132711 ~2007
50115335391002306707911 ~2007
50115849231002316984711 ~2007
50115856613006951396711 ~2008
50116428733006985723911 ~2008
50117181111002343622311 ~2007
50117296431002345928711 ~2007
50118170991002363419911 ~2007
50122109715012210971111 ~2008
50123198031002463960711 ~2007
50123770911002475418311 ~2007
50126530213007591812711 ~2008
50126879511002537590311 ~2007
50135274711002705494311 ~2007
50135446311002708926311 ~2007
50136974991002739499911 ~2007
50137189911002743798311 ~2007
50138485311002769706311 ~2007
50138861213008331672711 ~2008
50140348074011227845711 ~2008
50141959191002839183911 ~2007
50142052191002841043911 ~2007
50142697191002853943911 ~2007
50143074479025753404711 ~2009
50145019014011601520911 ~2008
Exponent Prime Factor Dig. Year
501463789323067334307912 ~2010
50147088795014708879111 ~2008
50150051991003001039911 ~2007
50151293031003025860711 ~2007
501520523351155093376712 ~2011
50153412119027614179911 ~2009
50153664231003073284711 ~2007
50156962191003139243911 ~2007
50158040991003160819911 ~2007
50162416191003248323911 ~2007
50169224991003384499911 ~2007
50170241214013619296911 ~2008
50170948431003418968711 ~2007
50171072874013685829711 ~2008
50171272311003425446311 ~2007
50172257511003445150311 ~2007
50173008111003460162311 ~2007
501746684316055893897712 ~2010
50176084395017608439111 ~2008
50180843991003616879911 ~2007
50180896974014471757711 ~2008
50183258991003665179911 ~2007
50185762911003715258311 ~2007
50186793591003735871911 ~2007
50188225911003764518311 ~2007
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25-04-13