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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
737140643147428128710 ~2000
737228483147445696710 ~2000
737254571147450914310 ~2000
737255137442353082310 ~2001
737283083147456616710 ~2000
737294903147458980710 ~2000
737313959147462791910 ~2000
73731718114598880183912 ~2005
737330999147466199910 ~2000
737375519147475103910 ~2000
737379431147475886310 ~2000
737442263147488452710 ~2000
737445323147489064710 ~2000
7374499811179919969711 ~2002
73746763718141703870312 ~2005
737520107590016085710 ~2002
737570303147514060710 ~2000
737591399147518279910 ~2000
737625389590100311310 ~2002
737640203147528040710 ~2000
737667743147533548710 ~2000
737678783147535756710 ~2000
737679263147535852710 ~2000
737745191147549038310 ~2000
737756759147551351910 ~2000
Exponent Prime Factor Digits Year
737778731147555746310 ~2000
737807963147561592710 ~2000
737819399147563879910 ~2000
737822237590257789710 ~2002
737854979147570995910 ~2000
737910119147582023910 ~2000
737913251147582650310 ~2000
737914139147582827910 ~2000
737934083147586816710 ~2000
737955479147591095910 ~2000
737972783147594556710 ~2000
7379782396051421559911 ~2004
737987291147597458310 ~2000
7380041771180806683311 ~2002
738006679738006679110 ~2002
738015851147603170310 ~2000
738045023147609004710 ~2000
738055919147611183910 ~2000
738064763147612952710 ~2000
738102143147620428710 ~2000
738114911147622982310 ~2000
738146999147629399910 ~2000
738150073442890043910 ~2001
738178547590542837710 ~2002
738190283147638056710 ~2000
Exponent Prime Factor Digits Year
738198239147639647910 ~2000
738206123147641224710 ~2000
738208657442925194310 ~2001
738219263147643852710 ~2000
738241463147648292710 ~2000
738275339147655067910 ~2000
738286091147657218310 ~2000
738286639738286639110 ~2002
738307571147661514310 ~2000
738311219147662243910 ~2000
738311771147662354310 ~2000
738325979147665195910 ~2000
738336821443002092710 ~2001
738360041443016024710 ~2001
738366119147673223910 ~2000
738377603147675520710 ~2000
738401291590721032910 ~2002
7384260611624537334311 ~2003
738437521443062512710 ~2001
738477791147695558310 ~2000
738497183147699436710 ~2000
738501551147700310310 ~2000
738506423147701284710 ~2000
738524291147704858310 ~2000
738539159590831327310 ~2002
Exponent Prime Factor Digits Year
738541403147708280710 ~2000
738553043147710608710 ~2000
7385566331624824592711 ~2003
738565999738565999110 ~2002
738575423147715084710 ~2000
738577811147715562310 ~2000
738585181443151108710 ~2001
738591397443154838310 ~2001
738595163147719032710 ~2000
738638507590910805710 ~2002
738651899147730379910 ~2000
738680093443208055910 ~2001
738694031147738806310 ~2000
7387054912363857571311 ~2003
738742271147748454310 ~2000
738760811147752162310 ~2000
7388042571034325959911 ~2002
738811343147762268710 ~2000
7388193291034347060711 ~2002
7388265773546367569711 ~2004
738835859147767171910 ~2000
738867629591094103310 ~2002
738871643147774328710 ~2000
738872413443323447910 ~2001
73887382318471845575112 ~2005
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25-04-13