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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
7558540635442149253711 ~2004
755881271151176254310 ~2000
755895389604716311310 ~2002
755938763151187752710 ~2000
7559514591814283501711 ~2003
755957171151191434310 ~2000
755966383755966383110 ~2002
755967731151193546310 ~2000
755973917453584350310 ~2001
755975621453585372710 ~2001
755995343151199068710 ~2000
756012329604809863310 ~2002
756033737453620242310 ~2001
756037343151207468710 ~2000
756042491604833992910 ~2002
756049523151209904710 ~2000
756066821453640092710 ~2001
756071891151214378310 ~2000
756165251151233050310 ~2000
756192383151238476710 ~2000
756218051151243610310 ~2000
756227999151245599910 ~2000
7562668731058773622311 ~2002
7563424671815221920911 ~2003
756372791151274558310 ~2000
Exponent Prime Factor Digits Year
7563735911361472463911 ~2003
756379139151275827910 ~2000
756414299151282859910 ~2000
756433619605146895310 ~2002
756479921605183936910 ~2002
756500231605200184910 ~2002
756552371151310474310 ~2000
756580943151316188710 ~2000
756584963151316992710 ~2000
756597899151319579910 ~2000
7566040331815849679311 ~2003
756617951151323590310 ~2000
756634559151326911910 ~2000
756635263756635263110 ~2002
7566395634993821115911 ~2004
756642539151328507910 ~2000
756645521453987312710 ~2002
756653063151330612710 ~2000
756662909605330327310 ~2002
756699347605359477710 ~2002
756721859151344371910 ~2000
756724271151344854310 ~2000
756779363151355872710 ~2000
756788237454072942310 ~2002
756788447605430757710 ~2002
Exponent Prime Factor Digits Year
756795191151359038310 ~2000
756837071151367414310 ~2000
756839411151367882310 ~2000
756868103151373620710 ~2000
756891269605513015310 ~2002
756901391151380278310 ~2000
756911591151382318310 ~2000
7569167512422133603311 ~2003
756949859151389971910 ~2000
756951761454171056710 ~2002
7570366491816887957711 ~2003
7570490771211278523311 ~2003
757088303151417660710 ~2000
757117583151423516710 ~2000
757130039151426007910 ~2000
7571446038480019553711 ~2005
757153751151430750310 ~2000
757192433454315459910 ~2002
75720913753307523244912 ~2007
7572509934089155362311 ~2004
757253039151450607910 ~2000
757268711605814968910 ~2002
757272101454363260710 ~2002
757386517454431910310 ~2002
757412039151482407910 ~2000
Exponent Prime Factor Digits Year
757417799151483559910 ~2000
757435571151487114310 ~2000
757462051757462051110 ~2002
757469981454481988710 ~2002
757487651151497530310 ~2000
757491599151498319910 ~2000
757494971151498994310 ~2000
757527791151505558310 ~2000
757540163151508032710 ~2000
757586539757586539110 ~2002
757609679151521935910 ~2000
757649471151529894310 ~2000
757657643151531528710 ~2000
757661741606129392910 ~2002
757689463757689463110 ~2002
7576907511969995952711 ~2003
757691027606152821710 ~2002
757698661454619196710 ~2002
7577242731060813982311 ~2002
7577257673788628835111 ~2004
757730843151546168710 ~2000
757778741454667244710 ~2002
757785851151557170310 ~2000
757811783151562356710 ~2000
757827557454696534310 ~2002
3344
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25-04-13