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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
511823219102364643910 ~1999
511850771102370154310 ~1999
511865287511865287110 ~2001
5118692511330860052711 ~2002
511872071102374414310 ~1999
511886077307131646310 ~2000
511906897307144138310 ~2000
511913107511913107110 ~2001
511919411409535528910 ~2001
511951709409561367310 ~2001
5119683831228724119311 ~2002
511970531102394106310 ~1999
511992599102398519910 ~1999
511997771102399554310 ~1999
512006039102401207910 ~1999
512033243102406648710 ~1999
512035613307221367910 ~2000
512056619102411323910 ~1999
512056763102411352710 ~1999
512067151921720871910 ~2001
512077931102415586310 ~1999
512080931102416186310 ~1999
512095583102419116710 ~1999
512096171102419234310 ~1999
512106863102421372710 ~1999
Exponent Prime Factor Digits Year
512110063512110063110 ~2001
512119763102423952710 ~1999
512128703102425740710 ~1999
512144573307286743910 ~2000
512159287512159287110 ~2001
512162351102432470310 ~1999
512199113307319467910 ~2000
512217653307330591910 ~2000
512223521307334112710 ~2000
512232319922018174310 ~2001
512251823102450364710 ~1999
512269139102453827910 ~1999
512270111409816088910 ~2001
512273483102454696710 ~1999
512273831102454766310 ~1999
512278043102455608710 ~1999
512287961409830368910 ~2001
512290561307374336710 ~2000
512316317307389790310 ~2000
512317163102463432710 ~1999
512331959102466391910 ~1999
512340431102468086310 ~1999
512378543102475708710 ~1999
512384423102476884710 ~1999
512397617307438570310 ~2000
Exponent Prime Factor Digits Year
512413091102482618310 ~1999
512419643102483928710 ~1999
512423039102484607910 ~1999
512429663102485932710 ~1999
512445743102489148710 ~1999
512452859102490571910 ~1999
512462903102492580710 ~1999
512475143102495028710 ~1999
512478313307486987910 ~2000
512493743102498748710 ~1999
512497343102499468710 ~1999
512506223102501244710 ~1999
512512823102502564710 ~1999
512513377307508026310 ~2000
512517359102503471910 ~1999
512524861307514916710 ~2000
512554943102510988710 ~1999
512572793307543675910 ~2000
512577881410062304910 ~2001
512585459102517091910 ~1999
512622083102524416710 ~1999
512622569410098055310 ~2001
512626253307575751910 ~2000
512664863102532972710 ~1999
512665403102533080710 ~1999
Exponent Prime Factor Digits Year
512681723102536344710 ~1999
512698993307619395910 ~2000
512699123102539824710 ~1999
512705441307623264710 ~2000
512708957410167165710 ~2001
512715023102543004710 ~1999
512719019102543803910 ~1999
512721383102544276710 ~1999
5127221091948344014311 ~2002
512724271512724271110 ~2001
512726339102545267910 ~1999
512743691102548738310 ~1999
512763539102552707910 ~1999
512764859102552971910 ~1999
512770259102554051910 ~1999
512782637307669582310 ~2000
512788043102557608710 ~1999
512811983102562396710 ~1999
512818391410254712910 ~2001
5128314439846363705711 ~2004
512842763102568552710 ~1999
512852831102570566310 ~1999
5128537512153985754311 ~2002
512857451102571490310 ~1999
512859779102571955910 ~1999
3452
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25-12-14