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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
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
50113856631002277132711 ~2007
50115335391002306707911 ~2007
50115849231002316984711 ~2007
50115856613006951396711 ~2008
50116428733006985723911 ~2008
50117181111002343622311 ~2007
50117296431002345928711 ~2007
50118170991002363419911 ~2007
Exponent Prime Factor Dig. Year
50122109715012210971111 ~2008
50123198031002463960711 ~2007
50123770911002475418311 ~2007
50126530213007591812711 ~2008
50126879511002537590311 ~2007
50130873078020939691311 ~2009
50135274711002705494311 ~2007
50135446311002708926311 ~2007
50136974991002739499911 ~2007
50137189911002743798311 ~2007
50138485311002769706311 ~2007
50138489235013848923111 ~2008
50138861213008331672711 ~2008
50140348074011227845711 ~2008
50141959191002839183911 ~2007
50142052191002841043911 ~2007
50142697191002853943911 ~2007
50143074479025753404711 ~2009
50145019014011601520911 ~2008
501463789323067334307912 ~2010
50147088795014708879111 ~2008
50150051991003001039911 ~2007
50151293031003025860711 ~2007
501520523351155093376712 ~2011
50153412119027614179911 ~2009
Exponent Prime Factor Dig. Year
50153664231003073284711 ~2007
50154256995015425699111 ~2008
50156962191003139243911 ~2007
50158040991003160819911 ~2007
50162416191003248323911 ~2007
50169224991003384499911 ~2007
50169886314013590904911 ~2008
50170241214013619296911 ~2008
50170948431003418968711 ~2007
50171072874013685829711 ~2008
50171272311003425446311 ~2007
50172257511003445150311 ~2007
50173008111003460162311 ~2007
501746684316055893897712 ~2010
50175573711003511474311 ~2007
50176084395017608439111 ~2008
501792583113046607160712 ~2010
50180843991003616879911 ~2007
50180896974014471757711 ~2008
50183258991003665179911 ~2007
50185762911003715258311 ~2007
50186083791003721675911 ~2007
50186793591003735871911 ~2007
50188225911003764518311 ~2007
50188762311003775246311 ~2007
Exponent Prime Factor Dig. Year
50191251231003825024711 ~2007
50196904133011814247911 ~2008
50200125133012007507911 ~2008
50205739911004114798311 ~2007
50206040031004120800711 ~2007
50206890831004137816711 ~2007
50209288133012557287911 ~2008
50209920711004198414311 ~2007
50210244231004204884711 ~2007
50212117311004242346311 ~2007
50213153631004263072711 ~2007
50213280831004265616711 ~2007
502143881331132920640712 ~2010
50216320431004326408711 ~2007
50217715338034834452911 ~2009
50219672391004393447911 ~2007
50219679111004393582311 ~2007
50220875031004417500711 ~2007
50221032111004420642311 ~2007
50222018514017761480911 ~2008
50222484714017798776911 ~2008
50223852111004477042311 ~2007
50223897533013433851911 ~2008
50224636791004492735911 ~2007
50226196311004523926311 ~2007
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25-11-02