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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
22019759440395198 ~1988
22020191440403838 ~1988
22020203440404078 ~1988
22020611440412238 ~1988
220208771321252639 ~1989
220211511761692099 ~1990
22021211440424238 ~1988
220215912202159119 ~1990
22021799440435998 ~1988
22022303440446078 ~1988
22022543440450878 ~1988
220231635285559139 ~1991
22023203440464078 ~1988
220240039250081279 ~1992
220241093083375279 ~1990
220244811321468879 ~1989
22024763440495278 ~1988
22024883440497678 ~1988
22025039440500798 ~1988
22025831440516638 ~1988
22025879440517598 ~1988
220268176608045119 ~1991
220273811321642879 ~1989
22028351440567038 ~1988
220286211321717279 ~1989
Exponent Prime Factor Digits Year
220286593965158639 ~1991
22028843440576878 ~1988
220289211321735279 ~1989
22030031440600638 ~1988
220302471762419779 ~1990
22030583440611678 ~1988
22030751440615038 ~1988
22031123440622478 ~1988
220311591762492739 ~1990
22031423440628478 ~1988
22031771440635438 ~1988
22032743440654878 ~1988
22033163440663278 ~1988
22033439440668798 ~1988
220336336610089919 ~1991
22033943440678878 ~1988
22034123440682478 ~1988
22034783440695678 ~1988
22034843440696878 ~1988
22034891440697838 ~1988
22035659440713198 ~1988
220360191762881539 ~1990
22036103440722078 ~1988
220367171322203039 ~1989
22036739440734798 ~1988
Exponent Prime Factor Digits Year
220369571322217439 ~1989
220372512203725119 ~1990
22037819440756398 ~1988
22038251440765038 ~1988
22038563440771278 ~1988
22038671440773438 ~1988
22038743440774878 ~1988
220388291992310141711 ~1995
22039019440780398 ~1988
22039343440786878 ~1988
220399371763194979 ~1990
220406991763255939 ~1990
22041983440839678 ~1988
22042511440850238 ~1988
22043159440863198 ~1988
22043243440864878 ~1988
22043459440869198 ~1988
220434591763476739
220440131322640799 ~1989
220441371322648239 ~1989
22044371440887438 ~1988
220443771322662639 ~1989
220444131322664799 ~1989
22044443440888878 ~1988
220447791763582339 ~1990
Exponent Prime Factor Digits Year
220452371322714239 ~1989
220454832204548319 ~1990
22045883440917678 ~1988
220461473968306479 ~1991
22046159440923198 ~1988
220465032204650319 ~1990
220466211322797279 ~1989
22046879440937598 ~1988
22047323440946478 ~1988
22047637101419130310 ~1992
220477993968603839 ~1991
22047803440956078 ~1988
22047983440959678 ~1988
22048309119060868710 ~1992
220485891763887139 ~1990
22048739440974798 ~1988
220487991763903939 ~1990
22049771440995438 ~1988
22049999440999998 ~1988
220502211764017699 ~1990
22050323441006478 ~1988
22050911441018238 ~1988
22051283441025678 ~1988
220515731323094399 ~1989
220518072205180719 ~1990
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25-06-08