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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
839287357503572414310 ~2002
839352623167870524710 ~2001
839374331167874866310 ~2001
839413079167882615910 ~2001
839416619167883323910 ~2001
839468291167893658310 ~2001
839495543167899108710 ~2001
839506043167901208710 ~2001
839515643167903128710 ~2001
8395162971175322815911 ~2003
839525651167905130310 ~2001
839595131167919026310 ~2001
839602331167920466310 ~2001
839627681503776608710 ~2002
839643851167928770310 ~2001
839661503167932300710 ~2001
839692643167938528710 ~2001
839747813503848687910 ~2002
839791639839791639110 ~2002
839798321503878992710 ~2002
839803511167960702310 ~2001
839827403167965480710 ~2001
8398846971175838575911 ~2003
839901323167980264710 ~2001
8399913771175987927911 ~2003
Exponent Prime Factor Digits Year
839995511167999102310 ~2001
839997311167999462310 ~2001
840007643168001528710 ~2001
8400197513528082954311 ~2004
840085451168017090310 ~2001
840087377504052426310 ~2002
840117059168023411910 ~2001
840124559168024911910 ~2001
8401251773192475672711 ~2004
840133331168026666310 ~2001
840174683168034936710 ~2001
840218521504131112710 ~2002
840228899168045779910 ~2001
840239303168047860710 ~2001
840240539168048107910 ~2001
840256661504153996710 ~2002
840264281672211424910 ~2002
8402698931848593764711 ~2003
840296923840296923110 ~2002
840310403168062080710 ~2001
840321803168064360710 ~2001
840334283168066856710 ~2001
840336179168067235910 ~2001
840350659840350659110 ~2002
840357263168071452710 ~2001
Exponent Prime Factor Digits Year
840373799168074759910 ~2001
840413471168082694310 ~2001
840466163168093232710 ~2001
840481619168096323910 ~2001
840492011168098402310 ~2001
840500099168100019910 ~2001
840512537672410029710 ~2002
840513671168102734310 ~2001
8405254491176735628711 ~2003
840531061504318636710 ~2002
840539699168107939910 ~2001
840588299168117659910 ~2001
840599099168119819910 ~2001
840600779168120155910 ~2001
840621863168124372710 ~2001
840636743168127348710 ~2001
840662099168132419910 ~2001
840669457504401674310 ~2002
840669821672535856910 ~2002
840691979168138395910 ~2001
840694157504416494310 ~2002
840730763168146152710 ~2001
840734579168146915910 ~2001
840737543168147508710 ~2001
840779843168155968710 ~2001
Exponent Prime Factor Digits Year
840799163168159832710 ~2001
840858923168171784710 ~2001
840879089672703271310 ~2002
840883559168176711910 ~2001
840916319168183263910 ~2001
840920603168184120710 ~2001
840923939168184787910 ~2001
840934343168186868710 ~2001
840945767672756613710 ~2002
840994061672795248910 ~2002
8410396031345663364911 ~2003
841040279168208055910 ~2001
841057907672846325710 ~2002
841058591168211718310 ~2001
841080983168216196710 ~2001
841092971168218594310 ~2001
841093157504655894310 ~2002
841102057504661234310 ~2002
841182959672946367310 ~2002
841192031168238406310 ~2001
841193579168238715910 ~2001
8412057974542511303911 ~2004
841207091168241418310 ~2001
8412161392691891644911 ~2004
841237151168247430310 ~2001
3506
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25-07-20