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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
2257880099451576019910 ~2004
225798931312193142290312 ~2008
2258073803451614760710 ~2004
22581406275419537504911 ~2007
2258151611451630322310 ~2004
22582118691806569495311 ~2006
22583248911806659912911 ~2006
22583639571355018374311 ~2005
22585371611355122296711 ~2005
2258581763451716352710 ~2004
2258628419451725683910 ~2004
2258685431451737086310 ~2004
22587879673614060747311 ~2006
2258873951451774790310 ~2004
2258942639451788527910 ~2004
2258970359451794071910 ~2004
2258978651451795730310 ~2004
2259112871451822574310 ~2004
22591430211355485812711 ~2005
2259161423451832284710 ~2004
2259165431451833086310 ~2004
2259205499451841099910 ~2004
22592332371355539942311 ~2005
2259241871451848374310 ~2004
2259245903451849180710 ~2004
Exponent Prime Factor Digits Year
22592741112259274111111 ~2006
2259277283451855456710 ~2004
2259299771451859954310 ~2004
225931329710392841166312 ~2007
2259402311451880462310 ~2004
2259474551451894910310 ~2004
2259553391451910678310 ~2004
2259563903451912780710 ~2004
22595675811355740548711 ~2005
22597377891807790231311 ~2006
22597690493163676668711 ~2006
2259826511451965302310 ~2004
2259920639451984127910 ~2004
22599250493163895068711 ~2006
2260106759452021351910 ~2004
22601579712260157971111 ~2006
2260170611452034122310 ~2004
2260202519452040503910 ~2004
22602129611356127776711 ~2005
2260318883452063776710 ~2004
2260373543452074708710 ~2004
2260490483452098096710 ~2004
22605374571808429965711 ~2006
2260712123452142424710 ~2004
2260724639452144927910 ~2004
Exponent Prime Factor Digits Year
2260782983452156596710 ~2004
22608123411356487404711 ~2005
2260812503452162500710 ~2004
2260845791452169158310 ~2004
2260881911452176382310 ~2004
2261141231452228246310 ~2004
2261160263452232052710 ~2004
22611910671808952853711 ~2006
2261284919452256983910 ~2004
22613491911809079352911 ~2006
2261365643452273128710 ~2004
2261443043452288608710 ~2004
22614977592261497759111 ~2006
22615102571356906154311 ~2005
2261561303452312260710 ~2004
2261598863452319772710 ~2004
22616673111809333848911 ~2006
2261707391452341478310 ~2004
2261748683452349736710 ~2004
2261757419452351483910 ~2004
2261821283452364256710 ~2004
22619664771809573181711 ~2006
2262003983452400796710 ~2004
22620600891809648071311 ~2006
2262241703452448340710 ~2004
Exponent Prime Factor Digits Year
22622976895429514453711 ~2007
22623184273619709483311 ~2006
2262429203452485840710 ~2004
2262438551452487710310 ~2004
22625451912262545191111 ~2006
22625470611357528236711 ~2005
22625551331357533079911 ~2005
22627106411357626384711 ~2005
2262766991452553398310 ~2004
2262821219452564243910 ~2004
2262896039452579207910 ~2004
2263083923452616784710 ~2004
2263097363452619472710 ~2004
226313046110863026212912 ~2007
2263222583452644516710 ~2004
2263242659452648531910 ~2004
2263265831452653166310 ~2004
22632780411357966824711 ~2005
226335527920370197511112 ~2008
2263602023452720404710 ~2004
22636646511810931720911 ~2006
2263665023452733004710 ~2004
2263941503452788300710 ~2004
22639920411358395224711 ~2005
2264105159452821031910 ~2004
4052
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25-11-02