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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
592792283118558456710 ~2000
5927989791896956732911 ~2002
592805639118561127910 ~2000
592806527474245221710 ~2001
592817171118563434310 ~2000
592828259118565651910 ~2000
592857851118571570310 ~2000
592868599592868599110 ~2001
592882571118576514310 ~2000
592897181474317744910 ~2001
592902083118580416710 ~2000
592915523118583104710 ~2000
592986859592986859110 ~2001
592990631118598126310 ~2000
593000921355800552710 ~2001
593003137355801882310 ~2001
593015303118603060710 ~2000
593039059593039059110 ~2001
593044271118608854310 ~2000
593052503118610500710 ~2000
593065229474452183310 ~2001
593071931474457544910 ~2001
593093411118618682310 ~2000
5931209091897986908911 ~2002
593136311118627262310 ~2000
Exponent Prime Factor Digits Year
593140739118628147910 ~2000
593147837355888702310 ~2001
593158859118631771910 ~2000
593168903118633780710 ~2000
593180663118636132710 ~2000
593189879118637975910 ~2000
593205383118641076710 ~2000
593217641355930584710 ~2001
593236277355941766310 ~2001
593236859118647371910 ~2000
5932836671067910600711 ~2002
593290813355974487910 ~2001
593301743118660348710 ~2000
593315111118663022310 ~2000
593332757355999654310 ~2001
593391839474713471310 ~2001
59340299316021880811112 ~2005
593407679118681535910 ~2000
593410889474728711310 ~2001
593446559118689311910 ~2000
593453579118690715910 ~2000
593466931593466931110 ~2001
593476223118695244710 ~2000
593494883118698976710 ~2000
593499197356099518310 ~2001
Exponent Prime Factor Digits Year
5935302916291421084711 ~2004
593539931118707986310 ~2000
593542933356125759910 ~2001
593546953356128171910 ~2001
593562217356137330310 ~2001
593594783118718956710 ~2000
593616143118723228710 ~2000
593619781356171868710 ~2001
593623451474898760910 ~2001
593628383118725676710 ~2000
593648197356188918310 ~2001
593649137831108791910 ~2002
593656523118731304710 ~2000
593678279118735655910 ~2000
593695079118739015910 ~2000
593718179118743635910 ~2000
593743043118748608710 ~2000
593774411118754882310 ~2000
593788499475030799310 ~2001
593794991118758998310 ~2000
593801111118760222310 ~2000
5938109292375243716111 ~2003
593811923118762384710 ~2000
593844983118768996710 ~2000
593846699118769339910 ~2000
Exponent Prime Factor Digits Year
593851319118770263910 ~2000
593873261475098608910 ~2001
593882651118776530310 ~2000
593945783118789156710 ~2000
593954051118790810310 ~2000
593959427475167541710 ~2001
593987579475190063310 ~2001
593990279118798055910 ~2000
593990447475192357710 ~2001
594008171118801634310 ~2000
594011303118802260710 ~2000
594077999118815599910 ~2000
594097583118819516710 ~2000
594098903118819780710 ~2000
5941007297129208748111 ~2004
594102083118820416710 ~2000
594116903118823380710 ~2000
5941347711069442587911 ~2002
594147083118829416710 ~2000
594147731118829546310 ~2000
594175691118835138310 ~2000
594180877356508526310 ~2001
594186101475348880910 ~2001
594193133356515879910 ~2001
594205141356523084710 ~2001
3243
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25-04-13