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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
738008261310332115658312 ~2010
73801302591476026051911 ~2008
738016834917712404037712 ~2011
73802531511476050630311 ~2008
73803225711476064514311 ~2008
73804704111476094082311 ~2008
738075863317713820719312 ~2011
73811808715904944696911 ~2010
73815707174428942430311 ~2009
73816328031476326560711 ~2008
73817236311476344726311 ~2008
73818950511476379010311 ~2008
73820639631476412792711 ~2008
73824817191476496343911 ~2008
738252037311812032596912 ~2010
73827568791476551375911 ~2008
738277782729531111308112 ~2011
73831344111476626882311 ~2008
73833327175906666173711 ~2010
73836329991476726599911 ~2008
73840373991476807479911 ~2008
73841244831476824896711 ~2008
73841927031476838540711 ~2008
73843894574430633674311 ~2009
73845482991476909659911 ~2008
Exponent Prime Factor Dig. Year
73845987231476919744711 ~2008
73856204391477124087911 ~2008
73858055031477161100711 ~2008
73859534391477190687911 ~2008
73859622711477192454311 ~2008
73863176991477263539911 ~2008
738646999153182583935312 ~2012
73865679591477313591911 ~2008
73867523631477350472711 ~2008
73868545075909483605711 ~2010
73869383995909550719311 ~2010
73869454791477389095911 ~2008
73869473031477389460711 ~2008
73869773031477395460711 ~2008
73871261511477425230311 ~2008
73872138591477442771911 ~2008
73872956031477459120711 ~2008
73873164831477463296711 ~2008
73879322214432759332711 ~2009
73881782511477635650311 ~2008
73882379991477647599911 ~2008
73883763111477675262311 ~2008
73883897631477677952711 ~2008
738851221710343917103912 ~2010
738894001131033548046312 ~2011
Exponent Prime Factor Dig. Year
738896904111822350465712 ~2010
73891497591477829951911 ~2008
73892713431477854268711 ~2008
73895714991477914299911 ~2008
73897472031477949440711 ~2008
73898292437389829243111 ~2010
73901671675912133733711 ~2010
73902741614434164496711 ~2009
73904031797390403179111 ~2010
73908895014434533700711 ~2009
73911537895912923031311 ~2010
73912427391478248547911 ~2008
73924016991478480339911 ~2008
73924266831478485336711 ~2008
73925538231478510764711 ~2008
73927703511478554070311 ~2008
739277654910349887168712 ~2010
73929834591478596691911 ~2008
73930329197393032919111 ~2010
73935526134436131567911 ~2009
73939692231478793844711 ~2008
73939843791478796875911 ~2008
73944754431478895088711 ~2008
73945615911478912318311 ~2008
73952790774437167446311 ~2009
Exponent Prime Factor Dig. Year
73958832831479176656711 ~2008
73959725391479194507911 ~2008
73965693111479313862311 ~2008
73970223831479404476711 ~2008
73971175311479423506311 ~2008
73973206911479464138311 ~2008
73974704477397470447111 ~2010
73979121111479582422311 ~2008
73982458191479649163911 ~2008
73985633774439138026311 ~2009
73987839711479756794311 ~2008
73994653791479893075911 ~2008
73995569031479911380711 ~2008
740050617111840809873712 ~2010
74005844031480116880711 ~2008
74006963991480139279911 ~2008
74007452511480149050311 ~2008
74008267311480165346311 ~2008
74010336111480206722311 ~2008
74013358614440801516711 ~2009
74018152791480363055911 ~2008
74018320375921465629711 ~2010
740189362741450604311312 ~2012
74021136231480422724711 ~2008
74024859831480497196711 ~2008
4540
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25-12-14