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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 Digits Year
4999126571999825314310 ~2007
4999132343999826468710 ~2007
4999307363999861472710 ~2007
49995390314999539031111 ~2009
499961782316998700598312 ~2010
49996300013999704000911 ~2008
4999806611999961322310 ~2007
4999869683999973936710 ~2007
4999885211999977042310 ~2007
50001892191000037843911 ~2007
50002944013000176640711 ~2008
50004974991000099499911 ~2007
50005323591000106471911 ~2007
50006974791000139495911 ~2007
50008883631000177672711 ~2007
50010136275001013627111 ~2009
50013686391000273727911 ~2007
50015110431000302208711 ~2007
50015291991000305839911 ~2007
50017985631000359712711 ~2007
50018250111000365002311 ~2007
50020440831000408816711 ~2007
50021561835002156183111 ~2009
500220707312005296975312 ~2009
50024490711000489814311 ~2007
Exponent Prime Factor Dig. Year
50025096474002007717711 ~2008
50026383231000527664711 ~2007
50027323133001639387911 ~2008
50028016191000560323911 ~2007
50029133391000582667911 ~2007
50030301111000606022311 ~2007
50032354911000647098311 ~2007
50032755231000655104711 ~2007
50034378231000687564711 ~2007
50039257218006281153711 ~2009
50039710791000794215911 ~2007
50041309395004130939111 ~2009
500415895981067375135912 ~2011
50041664511000833290311 ~2007
50046859791000937195911 ~2007
50048654511000973090311 ~2007
50050344174004027533711 ~2008
50052690231001053804711 ~2007
50052721791001054435911 ~2007
50054516214004361296911 ~2008
50054580711001091614311 ~2007
50054863191001097263911 ~2007
50055136374004410909711 ~2008
50055703431001114068711 ~2007
50055883311001117666311 ~2007
Exponent Prime Factor Dig. Year
50056536231001130724711 ~2007
50057125311001142506311 ~2007
50057805111001156102311 ~2007
50057931831001158636711 ~2007
500593429332037979475312 ~2010
50060316711001206334311 ~2007
50062021013003721260711 ~2008
50062553413003753204711 ~2008
50063696178010191387311 ~2009
50065413111001308262311 ~2007
50066617911001332358311 ~2007
50070259679012646740711 ~2009
50071066311001421326311 ~2007
50072707431001454148711 ~2007
50073379311001467586311 ~2007
50075227911001504558311 ~2007
50079775919014359663911 ~2009
50082018711001640374311 ~2007
50083778511001675570311 ~2007
50084367111001687342311 ~2007
50086455711001729114311 ~2007
50086659111001733182311 ~2007
50087136831001742736711 ~2007
50087224933005233495911 ~2008
50088646431001772928711 ~2007
Exponent Prime Factor Dig. Year
50088785511001775710311 ~2007
50094750111001895002311 ~2007
50096380791001927615911 ~2007
50097076974007766157711 ~2008
50098454173005907250311 ~2008
50098879311001977586311 ~2007
50102871978016459515311 ~2009
50103154674008252373711 ~2008
50103209631002064192711 ~2007
50103932533006235951911 ~2008
501049491715031484751112 ~2010
50105616591002112331911 ~2007
50106080773006364846311 ~2008
50107039791002140795911 ~2007
50110594074008847525711 ~2008
50111364915011136491111 ~2009
50112295431002245908711 ~2007
50112496791002249935911 ~2007
50113022511002260450311 ~2007
50113490391002269807911 ~2007
50113856631002277132711 ~2007
50114682714009174616911 ~2008
50115335391002306707911 ~2007
50115849231002316984711 ~2007
50115856613006951396711 ~2008
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26-07-19