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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
844440119168888023910 ~2001
8444629032026710967311 ~2003
844468511168893702310 ~2001
844470719168894143910 ~2001
844491731168898346310 ~2001
844534199168906839910 ~2001
844536971168907394310 ~2001
8445510311351281649711 ~2003
844552811168910562310 ~2001
844565159675652127310 ~2002
844646417506787850310 ~2002
8446564693378625876111 ~2004
8446588971182522455911 ~2003
844741057506844634310 ~2002
844765979168953195910 ~2001
844766339168953267910 ~2001
844774883168954976710 ~2001
8447799891182691984711 ~2003
844785737506871442310 ~2002
844792451168958490310 ~2001
844802723168960544710 ~2001
844844771168968954310 ~2001
844861813506917087910 ~2002
844865291168973058310 ~2001
844884503168976900710 ~2001
Exponent Prime Factor Digits Year
844887781506932668710 ~2002
844888313506932987910 ~2002
844904279168980855910 ~2001
844910233506946139910 ~2002
844939553506963731910 ~2002
8449402211351904353711 ~2003
845001323169000264710 ~2001
845004781507002868710 ~2002
845009603169001920710 ~2001
845021321507012792710 ~2002
845097023169019404710 ~2001
845101343169020268710 ~2001
845123351169024670310 ~2001
845130623169026124710 ~2001
845132177676105741710 ~2002
845146283169029256710 ~2001
845169683169033936710 ~2001
8451708472028410032911 ~2003
845208869676167095310 ~2002
8452239973380895988111 ~2004
845227151169045430310 ~2001
8452327672197605194311 ~2003
845282771169056554310 ~2001
845283671169056734310 ~2001
845285219169057043910 ~2001
Exponent Prime Factor Digits Year
845295953507177571910 ~2002
845308691676246952910 ~2002
845316623169063324710 ~2001
845317859169063571910 ~2001
845346779169069355910 ~2001
8453840472028921712911 ~2003
845426759169085351910 ~2001
845448119169089623910 ~2001
845451421507270852710 ~2002
8455022111352803537711 ~2003
845505911169101182310 ~2001
845533163169106632710 ~2001
845542751169108550310 ~2001
8456308332536892499111 ~2004
845642111169128422310 ~2001
845711039169142207910 ~2001
845720339169144067910 ~2001
845730239169146047910 ~2001
845764547676611637710 ~2002
845765939676612751310 ~2002
8457661092537298327111 ~2004
845777099169155419910 ~2001
845781449676625159310 ~2002
845785991169157198310 ~2001
845818691169163738310 ~2001
Exponent Prime Factor Digits Year
845862359169172471910 ~2001
845870219169174043910 ~2001
845880433507528259910 ~2002
845917619169183523910 ~2001
845919479169183895910 ~2001
845922491169184498310 ~2001
845986499169197299910 ~2001
846015011169203002310 ~2001
846049643169209928710 ~2001
846082397507649438310 ~2002
846134171169226834310 ~2001
846144419169228883910 ~2001
846156539169231307910 ~2001
846267431169253486310 ~2001
846295031169259006310 ~2001
8463480531184887274311 ~2003
846373937677099149710 ~2002
846415679169283135910 ~2001
846480839169296167910 ~2001
846486653507891991910 ~2002
846502463169300492710 ~2001
846522779677218223310 ~2002
846573083169314616710 ~2001
846573779169314755910 ~2001
8466180011354588801711 ~2003
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25-07-20