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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
809244539161848907910 ~2001
809253299161850659910 ~2001
809295419161859083910 ~2001
809297123161859424710 ~2001
809298569647438855310 ~2002
809323799161864759910 ~2001
809337779161867555910 ~2001
809348783161869756710 ~2001
8093516773237406708111 ~2004
809351833485611099910 ~2002
809386631161877326310 ~2001
809405711161881142310 ~2001
809446139161889227910 ~2001
809463923161892784710 ~2001
809471471161894294310 ~2001
809504281485702568710 ~2002
809576123161915224710 ~2001
809591759161918351910 ~2001
809592359161918471910 ~2001
809628923161925784710 ~2001
809639783161927956710 ~2001
809677391161935478310 ~2001
809687999161937599910 ~2001
809711879161942375910 ~2001
809734091161946818310 ~2001
Exponent Prime Factor Digits Year
809747777485848666310 ~2002
809784203161956840710 ~2001
809786759161957351910 ~2001
809788079161957615910 ~2001
809793203161958640710 ~2001
809809439161961887910 ~2001
809809823161961964710 ~2001
809829491161965898310 ~2001
809834611809834611110 ~2002
8098392293887228299311 ~2004
809858039161971607910 ~2001
809863451161972690310 ~2001
809947559161989511910 ~2001
809948177485968906310 ~2002
809961281485976768710 ~2002
809992979161998595910 ~2001
810027059162005411910 ~2001
8100316331296050612911 ~2003
810047519162009503910 ~2001
810049283162009856710 ~2001
810071831162014366310 ~2001
810123623162024724710 ~2001
810127739162025547910 ~2001
810160511162032102310 ~2001
810227843162045568710 ~2001
Exponent Prime Factor Digits Year
810229397648183517710 ~2002
810249311162049862310 ~2001
810259223162051844710 ~2001
810277421648221936910 ~2002
810302651162060530310 ~2001
810316079162063215910 ~2001
810318059162063611910 ~2001
810327071162065414310 ~2001
810334991162066998310 ~2001
810382451162076490310 ~2001
810393539162078707910 ~2001
810395711162079142310 ~2001
810402011162080402310 ~2001
810424871162084974310 ~2001
810439979162087995910 ~2001
810451451648361160910 ~2002
810494963162098992710 ~2001
810504977648403981710 ~2002
810519001486311400710 ~2002
81056150321560935979912 ~2006
810581963162116392710 ~2001
810590171162118034310 ~2001
810597611162119522310 ~2001
810620003162124000710 ~2001
810623483162124696710 ~2001
Exponent Prime Factor Digits Year
810628919162125783910 ~2001
810637559162127511910 ~2001
810734339162146867910 ~2001
810740657486444394310 ~2002
810742703162148540710 ~2001
810745679162149135910 ~2001
810747551162149510310 ~2001
810756431162151286310 ~2001
810760283162152056710 ~2001
810784223162156844710 ~2001
810792683162158536710 ~2001
810801161648640928910 ~2002
8108104191459458754311 ~2003
810825791162165158310 ~2001
8108444515351573376711 ~2004
810845531162169106310 ~2001
8108533871946048128911 ~2003
8108583438595098435911 ~2005
810879137486527482310 ~2002
810886319162177263910 ~2001
810914579162182915910 ~2001
810950401486570240710 ~2002
810957263162191452710 ~2001
810976703162195340710 ~2001
810989519162197903910 ~2001
3616
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25-11-02