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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
57922311178109123563911 ~2009
57923786991158475739911 ~2007
57923932791158478655911 ~2007
57926097591158521951911 ~2007
57928022214634241776911 ~2009
57928422711158568454311 ~2007
57929925711158598514311 ~2007
57930180831158603616711 ~2007
57931497831158629956711 ~2007
57932165514634573240911 ~2009
57936337431158726748711 ~2007
57936673311158733466311 ~2007
57937717191158754343911 ~2007
57938102511158762050311 ~2007
57942387591158847751911 ~2007
57944545311158890906311 ~2007
57944955298112293740711 ~2009
57945560213476733612711 ~2008
579526461110431476299912 ~2010
57953774933477226495911 ~2008
57953885031159077700711 ~2007
57954569391159091387911 ~2007
57955023711159100474311 ~2007
57955341173477320470311 ~2008
57955728831159114576711 ~2007
Exponent Prime Factor Dig. Year
57956037111159120742311 ~2007
57956600274636528021711 ~2009
57956788914636543112911 ~2009
57959306031159186120711 ~2007
57961956231159239124711 ~2007
57967302231159346044711 ~2007
57969627013478177620711 ~2008
57971479914637718392911 ~2009
57973262991159465259911 ~2007
57975192231159503844711 ~2007
579759096112754700114312 ~2010
57977729511159554590311 ~2007
57977741874638219349711 ~2009
57978273114638261848911 ~2009
579783825110436108851912 ~2010
57982882911159657658311 ~2007
57983044933478982695911 ~2008
57983479311159669586311 ~2007
57983912394638712991311 ~2009
57984858111159697162311 ~2007
57984905391159698107911 ~2007
57987107631159742152711 ~2007
57987480831159749616711 ~2007
57987859311159757186311 ~2007
57988453191159769063911 ~2007
Exponent Prime Factor Dig. Year
57989133013479347980711 ~2008
57990575031159811500711 ~2007
57992435333479546119911 ~2008
57993852111159877042311 ~2007
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
Exponent Prime Factor Dig. Year
58021983413481319004711 ~2008
580257483723210299348112 ~2010
58026558711160531174311 ~2007
58028635191160572703911 ~2007
580297256917408917707112 ~2010
58030345431160606908711 ~2007
58033364391160667287911 ~2007
58034143431160682868711 ~2007
58034813031160696260711 ~2007
58034948631160698972711 ~2007
58035872031160717440711 ~2007
58037282631160745652711 ~2007
58043391173482603470311 ~2008
58044200031160884000711 ~2007
580486945910448765026312 ~2010
580488904727863467425712 ~2011
58049581191160991623911 ~2007
58050342831161006856711 ~2007
58051484994644118799311 ~2009
58052336333483140179911 ~2008
58052875333483172519911 ~2008
58054002831161080056711 ~2007
58056852111161137042311 ~2007
58057512231161150244711 ~2007
58058171333483490279911 ~2008
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26-08-02