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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
2200024679440004935910 ~2004
22000380134840083628711 ~2007
22002237171320134230311 ~2005
2200247891440049578310 ~2004
22002796571320167794311 ~2005
2200314899440062979910 ~2004
2200324523440064904710 ~2004
22004566811320274008711 ~2005
2200462571440092514310 ~2004
2200479971440095994310 ~2004
22005015192200501519111 ~2006
220054861711882962531912 ~2007
22005492131320329527911 ~2005
2200564139440112827910 ~2004
2200608779440121755910 ~2004
2200620371440124074310 ~2004
22006366311760509304911 ~2005
2200728983440145796710 ~2004
22008305811320498348711 ~2005
2200969871440193974310 ~2004
22009875411760790032911 ~2005
2201160623440232124710 ~2004
2201228891440245778310 ~2004
2201320931440264186310 ~2004
2201360303440272060710 ~2004
Exponent Prime Factor Digits Year
22014813611320888816711 ~2005
22015886931320953215911 ~2005
22016249411320974964711 ~2005
22016426091761314087311 ~2005
2201665463440333092710 ~2004
2201670479440334095910 ~2004
2201781203440356240710 ~2004
2201817311440363462310 ~2004
2201820143440364028710 ~2004
22018432333522949172911 ~2006
2201906303440381260710 ~2004
22020560571321233634311 ~2005
2202085283440417056710 ~2004
22021042935285050303311 ~2007
22021616832202161683111 ~2006
2202203819440440763910 ~2004
2202222311440444462310 ~2004
22022769971321366198311 ~2005
2202304823440460964710 ~2004
2202314483440462896710 ~2004
2202367091440473418310 ~2004
2202413099440482619910 ~2004
2202547103440509420710 ~2004
22026012531321560751911 ~2005
2202662963440532592710 ~2004
Exponent Prime Factor Digits Year
22026652731321599163911 ~2005
22026677936608003379111 ~2007
2202723851440544770310 ~2004
2202739163440547832710 ~2004
22030924331321855459911 ~2005
22031033771321862026311 ~2005
2203138523440627704710 ~2004
22031629875287591168911 ~2007
2203204259440640851910 ~2004
22032309893084523384711 ~2006
22032425811762594064911 ~2005
22032809691762624775311 ~2005
2203364771440672954310 ~2004
2203413659440682731910 ~2004
22037982731322278963911 ~2005
2203829531440765906310 ~2004
2203949399440789879910 ~2004
22039892113526382737711 ~2006
2203990031440798006310 ~2004
22040059973085608395911 ~2006
2204048039440809607910 ~2004
22040531211322431872711 ~2005
2204149151440829830310 ~2004
22041770112204177011111 ~2006
2204258519440851703910 ~2004
Exponent Prime Factor Digits Year
2204265023440853004710 ~2004
2204276411440855282310 ~2004
2204433251440886650310 ~2004
2204473703440894740710 ~2004
2204500139440900027910 ~2004
22045044296613513287111 ~2007
2204634671440926934310 ~2004
2204717843440943568710 ~2004
2204735579440947115910 ~2004
2204764931440952986310 ~2004
22048063435291535223311 ~2007
2204818943440963788710 ~2004
2204884091440976818310 ~2004
2204885411440977082310 ~2004
2204910923440982184710 ~2004
2204917679440983535910 ~2004
2204944823440988964710 ~2004
2204986331440997266310 ~2004
2204986799440997359910 ~2004
2205001079441000215910 ~2004
2205002279441000455910 ~2004
2205019079441003815910 ~2004
2205063851441012770310 ~2004
2205095303441019060710 ~2004
22051157271764092581711 ~2005
3877
GIMPS The Prime Pages FactorDb.com
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25-07-08