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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
73879322214432759332711 ~2009
73881782511477635650311 ~2008
73882379991477647599911 ~2008
73883763111477675262311 ~2008
73883897631477677952711 ~2008
738851221710343917103912 ~2010
738894001131033548046312 ~2011
738896904111822350465712 ~2010
73891497591477829951911 ~2008
73892713431477854268711 ~2008
73897472031477949440711 ~2008
73898292437389829243111 ~2010
73901671675912133733711 ~2010
73902741614434164496711 ~2009
73904031797390403179111 ~2010
73908895014434533700711 ~2009
73911537895912923031311 ~2010
73912427391478248547911 ~2008
73924016991478480339911 ~2008
73924266831478485336711 ~2008
73927703511478554070311 ~2008
73929834591478596691911 ~2008
73930329197393032919111 ~2010
73935526134436131567911 ~2009
73939692231478793844711 ~2008
Exponent Prime Factor Dig. Year
73939843791478796875911 ~2008
73944754431478895088711 ~2008
73945615911478912318311 ~2008
73952790774437167446311 ~2009
73958832831479176656711 ~2008
73965693111479313862311 ~2008
73970223831479404476711 ~2008
73971175311479423506311 ~2008
73973206911479464138311 ~2008
73974704477397470447111 ~2010
73979121111479582422311 ~2008
73982458191479649163911 ~2008
73985633774439138026311 ~2009
73987839711479756794311 ~2008
73994653791479893075911 ~2008
73995569031479911380711 ~2008
74005844031480116880711 ~2008
74006963991480139279911 ~2008
74008267311480165346311 ~2008
74010336111480206722311 ~2008
74013358614440801516711 ~2009
74018152791480363055911 ~2008
74018320375921465629711 ~2010
740189362741450604311312 ~2012
74021136231480422724711 ~2008
Exponent Prime Factor Dig. Year
74024859831480497196711 ~2008
74025327711480506554311 ~2008
74027973831480559476711 ~2008
74028168711480563374311 ~2008
74028799431480575988711 ~2008
74033468574442008114311 ~2009
74034539575922763165711 ~2010
74035948134442156887911 ~2009
74038448031480768960711 ~2008
74038598631480771972711 ~2008
74040343311480806866311 ~2008
74040593031480811860711 ~2008
74043682911480873658311 ~2008
74044658991480893179911 ~2008
74044744375923579549711 ~2010
74045910111480918202311 ~2008
74054247591481084951911 ~2008
74055895311481117906311 ~2008
740567129345915162016712 ~2012
74060100111481202002311 ~2008
74061025311481220506311 ~2008
74066577111481331542311 ~2008
74073836631481476732711 ~2008
74074949991481498999911 ~2008
74078188431481563768711 ~2008
Exponent Prime Factor Dig. Year
740791563729631662548112 ~2011
74080313031481606260711 ~2008
740815813710371421391912 ~2010
74082812391481656247911 ~2008
74083990814445039448711 ~2009
74085003831481700076711 ~2008
74087246391481744927911 ~2008
740874913710372248791912 ~2010
74095643991481912879911 ~2008
74097049791481940995911 ~2008
74102400111482048002311 ~2008
74104771431482095428711 ~2008
74106259334446375559911 ~2009
741065064717785561552912 ~2011
74109557031482191140711 ~2008
74109910791482198215911 ~2008
74112756734446765403911 ~2009
74113922511482278450311 ~2008
74114550111482291002311 ~2008
74119527591482390551911 ~2008
74120287191482405743911 ~2008
74122757511482455150311 ~2008
74122942075929835365711 ~2010
74129461791482589235911 ~2008
74131681311482633626311 ~2008
4158
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25-04-13