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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
54224948511084498970311 ~2007
54225788031084515760711 ~2007
54226210311084524206311 ~2007
54226463631084529272711 ~2007
54228947031084578940711 ~2007
54229036213253742172711 ~2008
54229285213253757112711 ~2008
54231979191084639583911 ~2007
54232705431084654108711 ~2007
54234023573254041414311 ~2008
542358414142303956299912 ~2011
54238566711084771334311 ~2007
54244936191084898723911 ~2007
54245723413254743404711 ~2008
54251855874340148469711 ~2009
54252696831085053936711 ~2007
54258218511085164370311 ~2007
54259366191085187323911 ~2007
54261794391085235887911 ~2007
54261931911085238638311 ~2007
54263407791085268155911 ~2007
54264390711085287814311 ~2007
54264983031085299660711 ~2007
54267338991085346779911 ~2007
54267691818682830689711 ~2009
Exponent Prime Factor Dig. Year
54268628097597607932711 ~2009
54272131333256327879911 ~2008
54275571111085511422311 ~2007
54278017737598922482311 ~2009
54279493911085589878311 ~2007
54279682911085593658311 ~2007
54280674831085613496711 ~2007
54282165831085643316711 ~2007
54282533391085650667911 ~2007
54283273191085665463911 ~2007
54286299711085725994311 ~2007
54286877031085737540711 ~2007
54288073035428807303111 ~2009
54288262333257295739911 ~2008
54289852911085797058311 ~2007
54290740875429074087111 ~2009
54291609111085832182311 ~2007
54291963231085839264711 ~2007
54293502078686960331311 ~2009
54294894231085897884711 ~2007
54295959114343676728911 ~2009
54297445911085948918311 ~2007
54300655791086013115911 ~2007
54303984373258239062311 ~2008
54307019879775263576711 ~2009
Exponent Prime Factor Dig. Year
54309057231086181144711 ~2007
54310469031086209380711 ~2007
543123169713034956072912 ~2010
54312572391086251447911 ~2007
54314646831086292936711 ~2007
54317307435431730743111 ~2009
54317318391086346367911 ~2007
54325075431086501508711 ~2007
54326013133259560787911 ~2008
54328050111086561002311 ~2007
54329582031086591640711 ~2007
54331003911086620078311 ~2007
543315991778237502804912 ~2012
54333803413260028204711 ~2008
54336018474346881477711 ~2009
54341943173260516590311 ~2008
54342303831086846076711 ~2007
54344892111086897842311 ~2007
54345214191086904283911 ~2007
54346232631086924652711 ~2007
54346364333260781859911 ~2008
54347070231086941404711 ~2007
54352492791087049855911 ~2007
54352599719783467947911 ~2009
54353150511087063010311 ~2007
Exponent Prime Factor Dig. Year
54359366413261561984711 ~2008
543616286314134023443912 ~2010
54362677311087253546311 ~2007
54364842111087296842311 ~2007
54365824911087316498311 ~2007
54370860711087417214311 ~2007
54371807511087436150311 ~2007
54375231831087504636711 ~2007
54376982391087539647911 ~2007
54378380391087567607911 ~2007
54379347591087586951911 ~2007
54380463591087609271911 ~2007
543815020313051560487312 ~2010
54388636791087772735911 ~2007
54389889111087797782311 ~2007
54390029031087800580711 ~2007
54391756635439175663111 ~2009
543953431311966975488712 ~2010
54395376111087907522311 ~2007
54396060711087921214311 ~2007
54397869231087957384711 ~2007
54401226133264073567911 ~2008
54402456591088049131911 ~2007
54402803991088056079911 ~2007
54403582014352286560911 ~2009
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25-07-20