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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
67931402391358628047911 ~2008
67933365196793336519111 ~2010
67933933911358678678311 ~2008
67935211911358704238311 ~2008
67938463431358769268711 ~2008
67938517311358770346311 ~2008
67940571134076434267911 ~2009
67940804511358816090311 ~2008
67941710814076502648711 ~2009
67942213311358844266311 ~2008
679424872914947347203912 ~2010
67943280111358865602311 ~2008
67944156316794415631111 ~2010
67944673311358893466311 ~2008
67950744591359014891911 ~2008
67956149991359122999911 ~2008
67956749395436539951311 ~2009
67959890991359197819911 ~2008
67962243711359244874311 ~2008
67963119111359262382311 ~2008
67966817631359336352711 ~2008
67970720991359414419911 ~2008
67977235014078634100711 ~2009
67980055675438404453711 ~2009
679831586316315958071312 ~2010
Exponent Prime Factor Dig. Year
67984998174079099890311 ~2009
67986341631359726832711 ~2008
67987156974079229418311 ~2009
67987457534079247451911 ~2009
67988525699518393596711 ~2010
67991811831359836236711 ~2008
67993177191359863543911 ~2008
67994195631359883912711 ~2008
67996359775439708781711 ~2009
67999346391359986927911 ~2008
67999405311359988106311 ~2008
67999802836799980283111 ~2010
68003970111360079402311 ~2008
68006849391360136987911 ~2008
68007189711360143794311 ~2008
68010427911360208558311 ~2008
68016765436801676543111 ~2010
68017416591360348331911 ~2008
68019604791360392095911 ~2008
680197015716324728376912 ~2010
68020553414081233204711 ~2009
68022386991360447739911 ~2008
68025988431360519768711 ~2008
68027740911360554818311 ~2008
68028666711360573334311 ~2008
Exponent Prime Factor Dig. Year
68030908396803090839111 ~2010
68032022511360640450311 ~2008
68032597791360651955911 ~2008
68044569591360891391911 ~2008
680496526920414895807112 ~2011
68050498191361009963911 ~2008
68053602231361072044711 ~2008
68060652231361213044711 ~2008
68061138715444891096911 ~2009
68062220991361244419911 ~2008
68063140431361262808711 ~2008
68063539191361270783911 ~2008
68065587111361311742311 ~2008
68069558031361391160711 ~2008
68070248391361404967911 ~2008
68071084614084265076711 ~2009
68073056511361461130311 ~2008
68082592191361651843911 ~2008
68083079031361661580711 ~2008
68083181031361663620711 ~2008
68086695591361733911911 ~2008
68087808895447024711311 ~2009
68088143391361762867911 ~2008
68089537191361790743911 ~2008
68091007191361820143911 ~2008
Exponent Prime Factor Dig. Year
68091334911361826698311 ~2008
68091427311361828546311 ~2008
68093117579533036459911 ~2010
68097485575447798845711 ~2009
68098749591361974991911 ~2008
68102213476810221347111 ~2010
681029225321792935209712 ~2011
68103324111362066482311 ~2008
68107760991362155219911 ~2008
68109513591362190271911 ~2008
681107061112259927099912 ~2010
68113040575449043245711 ~2009
68115077391362301547911 ~2008
68115575631362311512711 ~2008
68118885111362377702311 ~2008
68119126374087147582311 ~2009
68122184031362443680711 ~2008
68123830791362476615911 ~2008
68124385791362487715911 ~2008
68124641991362492839911 ~2008
68127679911362553598311 ~2008
68131260111362625202311 ~2008
681315847916351580349712 ~2010
68133565191362671303911 ~2008
68136257511362725150311 ~2008
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