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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
57984858111159697162311 ~2007
57984905391159698107911 ~2007
57987107631159742152711 ~2007
57987480831159749616711 ~2007
57987859311159757186311 ~2007
57988453191159769063911 ~2007
57989133013479347980711 ~2008
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
Exponent Prime Factor Dig. Year
58018860111160377202311 ~2007
58019725311160394506311 ~2007
58019833911160396678311 ~2007
58020244191160404883911 ~2007
58020854533481251271911 ~2008
58021983413481319004711 ~2008
580257483723210299348112 ~2010
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
58054002831161080056711 ~2007
58056852111161137042311 ~2007
Exponent Prime Factor Dig. Year
58057512231161150244711 ~2007
58062729111161254582311 ~2007
58063503831161270076711 ~2007
58063658991161273179911 ~2007
58066521231161330424711 ~2007
58067951391161359027911 ~2007
580696514917420895447112 ~2010
58070319133484219147911 ~2008
58071491413484289484711 ~2008
58075510191161510203911 ~2007
58077975294646238023311 ~2009
58079506791161590135911 ~2007
58081170831161623416711 ~2007
58082736231161654724711 ~2007
58087935591161758711911 ~2007
58088425191161768503911 ~2007
58091442915809144291111 ~2009
58095798831161915976711 ~2007
58099350594647948047311 ~2009
58101870111162037402311 ~2007
58104250911162085018311 ~2007
58107037191162140743911 ~2007
58107357613486441456711 ~2008
58109450991162189019911 ~2007
58110269511162205390311 ~2007
Exponent Prime Factor Dig. Year
58114111431162282228711 ~2007
58117128831162342576711 ~2007
58120983591162419671911 ~2007
58124976831162499536711 ~2007
58127189094650175127311 ~2009
58130058831162601176711 ~2007
58130243511162604870311 ~2007
58132509231162650184711 ~2007
58136591391162731827911 ~2007
58143782391162875647911 ~2007
581438104319768895546312 ~2010
58144329711162886594311 ~2007
58144410894651552871311 ~2009
58145154111162903082311 ~2007
58147198191162943963911 ~2007
58147930911162958618311 ~2007
58149580311162991606311 ~2007
58150409991163008199911 ~2007
58150449231163008984711 ~2007
58151374791163027495911 ~2007
58155643014652451440911 ~2009
58156784479305085515311 ~2009
58157742711163154854311 ~2007
58161427431163228548711 ~2007
58161717231163234344711 ~2007
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25-11-17