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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
585735831171471679 ~1992
585743573514461439 ~1993
585750591171501199 ~1992
585775311171550639 ~1992
585778911171557839 ~1992
58578133128871892710 ~1994
585781519372504179 ~1994
585786013514716079 ~1993
58578797140589112910 ~1994
585789831171579679 ~1992
585841431171682879 ~1992
585843591171687199 ~1992
585863031171726079 ~1992
585864831171729679 ~1992
585872813515236879 ~1993
585874431171748879 ~1992
585874933515249599 ~1993
585883191171766399 ~1992
585924613515547679 ~1993
585930711171861439 ~1992
585935533515613199 ~1993
585935991171871999 ~1992
58594009140625621710 ~1994
585959511171919039 ~1992
585986213515917279 ~1993
Exponent Prime Factor Digits Year
585987591171975199 ~1992
585994791171989599 ~1992
586007773516046639 ~1993
586009911172019839 ~1992
586015791172031599 ~1992
586057133516342799 ~1993
586057613516345679 ~1993
586059231172118479 ~1992
586066614688532899 ~1993
586088391172176799 ~1992
586096378205349199 ~1994
586097631172195279 ~1992
586120191172240399 ~1992
586125013516750079 ~1993
586137439378198899 ~1994
586139813516838879 ~1993
586141515861415119 ~1993
586141635861416319 ~1993
586147791172295599 ~1992
58615411105507739910 ~1994
586165133516990799 ~1993
586170591172341199 ~1992
586175394689403139 ~1993
58619321175857963110 ~1995
586197831172395679 ~1992
Exponent Prime Factor Digits Year
586201431172402879 ~1992
586205631172411279 ~1992
586207911172415839 ~1992
586215675862156719 ~1993
586216014689728099 ~1993
58621757140692216910 ~1994
586226391172452799 ~1992
586229391172458799 ~1992
586240311172480639 ~1992
586244094689952739 ~1993
586245915862459119 ~1993
586252431172504879 ~1992
586260831172521679 ~1992
586309191172618399 ~1992
586315431172630879 ~1992
586322511172645039 ~1992
586325514690604099 ~1993
586326594690612739 ~1993
586328631172657279 ~1992
58633231938131696110 ~1996
586356831172713679 ~1992
586368133518208799 ~1993
586390791172781599 ~1992
586404533518427199 ~1993
58641151234564604110 ~1995
Exponent Prime Factor Digits Year
586426911172853839 ~1992
586429431172858879 ~1992
586433631172867279 ~1992
586435614691484899 ~1993
586459674691677379 ~1993
586465791172931599 ~1992
586486191172972399 ~1992
586504911173009839 ~1992
586515114692120899 ~1993
586523271137855143911 ~1997
586552791173105599 ~1992
586575231173150479 ~1992
586590711173181439 ~1992
586595631173191279 ~1992
586609911173219839 ~1992
586611111173222239 ~1992
586635711173271439 ~1992
586658511173317039 ~1992
586662591173325199 ~1992
586666973520001839 ~1993
586675791173351599 ~1992
586683591173367199 ~1992
586688933520133599 ~1993
58671917140812600910 ~1994
586722831173445679 ~1992
2250
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25-11-02