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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 Dig. Year
57910426194632834095311 ~2009
57910585791158211715911 ~2007
579106187332429946488912 ~2011
57911126938107557770311 ~2009
57911189391158223787911 ~2007
57916390191158327803911 ~2007
57916557133474993427911 ~2008
57918316911158366338311 ~2007
57919759191158395183911 ~2007
579212640710425827532712 ~2010
57923786991158475739911 ~2007
57926097591158521951911 ~2007
57928022214634241776911 ~2009
57928422711158568454311 ~2007
57929925711158598514311 ~2007
57930180831158603616711 ~2007
57931497831158629956711 ~2007
57932165514634573240911 ~2009
57936337431158726748711 ~2007
57936673311158733466311 ~2007
57938102511158762050311 ~2007
57942387591158847751911 ~2007
57944545311158890906311 ~2007
57944955298112293740711 ~2009
57945560213476733612711 ~2008
Exponent Prime Factor Dig. Year
579526461110431476299912 ~2010
57953774933477226495911 ~2008
57953885031159077700711 ~2007
57954569391159091387911 ~2007
57955341173477320470311 ~2008
57955728831159114576711 ~2007
57959306031159186120711 ~2007
57961956231159239124711 ~2007
57967302231159346044711 ~2007
57973262991159465259911 ~2007
57975192231159503844711 ~2007
57977729511159554590311 ~2007
57977741874638219349711 ~2009
57978273114638261848911 ~2009
579783825110436108851912 ~2010
57983044933478982695911 ~2008
57983479311159669586311 ~2007
57983912394638712991311 ~2009
57984858111159697162311 ~2007
57984905391159698107911 ~2007
57987107631159742152711 ~2007
57987480831159749616711 ~2007
57987859311159757186311 ~2007
57988453191159769063911 ~2007
57989133013479347980711 ~2008
Exponent Prime Factor Dig. Year
57990575031159811500711 ~2007
57992435333479546119911 ~2008
57994384333479663059911 ~2008
57996164991159923299911 ~2007
57996281511159925630311 ~2007
57997083675799708367111 ~2009
57998964373479937862311 ~2008
58000911231160018224711 ~2007
58002185631160043712711 ~2007
58004705031160094100711 ~2007
58005131391160102627911 ~2007
58006938613480416316711 ~2008
58010714391160214287911 ~2007
58010917431160218348711 ~2007
58010946533480656791911 ~2008
58014874791160297495911 ~2007
58016436675801643667111 ~2009
58016677191160333543911 ~2007
58018860111160377202311 ~2007
58019725311160394506311 ~2007
58019833911160396678311 ~2007
58020244191160404883911 ~2007
58020854533481251271911 ~2008
58021983413481319004711 ~2008
580257483723210299348112 ~2010
Exponent Prime Factor Dig. Year
58026558711160531174311 ~2007
58028635191160572703911 ~2007
580297256917408917707112 ~2010
58033364391160667287911 ~2007
58034143431160682868711 ~2007
58034813031160696260711 ~2007
58034948631160698972711 ~2007
58035872031160717440711 ~2007
58037282631160745652711 ~2007
58044200031160884000711 ~2007
580488904727863467425712 ~2011
58049581191160991623911 ~2007
58050342831161006856711 ~2007
58051484994644118799311 ~2009
58052336333483140179911 ~2008
58052875333483172519911 ~2008
58056852111161137042311 ~2007
58057512231161150244711 ~2007
58062729111161254582311 ~2007
58063503831161270076711 ~2007
58063658991161273179911 ~2007
58066521231161330424711 ~2007
58067951391161359027911 ~2007
580696514917420895447112 ~2010
58070319133484219147911 ~2008
4308
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5.037.460 digits 		e-mail
25-09-07