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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
22031423440628478 ~1988
220317411321904479 ~1990
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 ~1990
22036739440734798 ~1988
220369571322217439 ~1990
220372512203725119 ~1990
220373411322240479 ~1990
22037819440756398 ~1988
22038251440765038 ~1988
22038563440771278 ~1988
22038671440773438 ~1988
22038743440774878 ~1988
Exponent Prime Factor Digits Year
220388291992310141711 ~1995
22039019440780398 ~1988
22039343440786878 ~1988
220399371763194979 ~1990
220406991763255939 ~1990
22041983440839678 ~1988
22042511440850238 ~1988
22043159440863198 ~1988
22043243440864878 ~1988
22043459440869198 ~1988
220434591763476739
220440131322640799 ~1990
220441371322648239 ~1990
22044371440887438 ~1988
220443771322662639 ~1990
220444131322664799 ~1990
22044443440888878 ~1988
220447791763582339 ~1990
220452371322714239 ~1990
220454832204548319 ~1990
22045883440917678 ~1988
220461473968306479 ~1991
22046159440923198 ~1988
220465032204650319 ~1990
220466211322797279 ~1990
Exponent Prime Factor Digits Year
22046879440937598 ~1988
220472294850390399 ~1991
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 ~1990
220518072205180719 ~1990
22052003441040078 ~1988
22052039441040798 ~1988
220521611323129679 ~1990
220525491764203939 ~1990
220528873969519679 ~1991
22053491441069838 ~1988
Exponent Prime Factor Digits Year
22053611441072238 ~1988
220539912205399119 ~1990
22054163441083278 ~1988
22054481807194004710 ~1994
22055003441100078 ~1988
22055063441101278 ~1988
220555671764445379 ~1990
22055591441111838 ~1988
22055651441113038 ~1988
220559896616796719 ~1991
22056323441126478 ~1988
22056491441129838 ~1988
22056623441132478 ~1988
22056899441137998 ~1988
22057571441151438 ~1988
22057859441157198 ~1988
220584171323505039 ~1990
22058999441179998 ~1988
220590175294164099 ~1991
22059071441181438 ~1988
22059083441181678 ~1988
22059263441185278 ~1988
22059743441194878 ~1988
22060403441208078 ~1988
22060523441210478 ~1988
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