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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
68054747695444379815311 ~2009
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
680876141320426284239112 ~2011
68087808895447024711311 ~2009
68088143391361762867911 ~2008
68089537191361790743911 ~2008
68091007191361820143911 ~2008
68091334911361826698311 ~2008
68091427311361828546311 ~2008
68093117579533036459911 ~2010
68097485575447798845711 ~2009
68098749591361974991911 ~2008
Exponent Prime Factor Dig. Year
68102213476810221347111 ~2010
681029225321792935209712 ~2011
68103324111362066482311 ~2008
68107760991362155219911 ~2008
68109513591362190271911 ~2008
681107061112259927099912 ~2010
68113040575449043245711 ~2009
68114551374086873082311 ~2009
68115077391362301547911 ~2008
68115575631362311512711 ~2008
68118885111362377702311 ~2008
68119126374087147582311 ~2009
68121270111362425402311 ~2008
68122184031362443680711 ~2008
68123830791362476615911 ~2008
68124385791362487715911 ~2008
68124641991362492839911 ~2008
68127679911362553598311 ~2008
68131260111362625202311 ~2008
681315847916351580349712 ~2010
68133565191362671303911 ~2008
68136257511362725150311 ~2008
68138021174088281270311 ~2009
68138760111362775202311 ~2008
68140048311362800966311 ~2008
Exponent Prime Factor Dig. Year
68142558295451404663311 ~2009
68142846374088570782311 ~2009
68144339174088660350311 ~2009
68144926734088695603911 ~2009
68149412934088964775911 ~2009
68149758591362995171911 ~2008
68151121911363022438311 ~2008
68151186711363023734311 ~2008
68154117231363082344711 ~2008
68154492711363089854311 ~2008
68155363191363107263911 ~2008
68157604431363152088711 ~2008
68163179391363263587911 ~2008
68165084631363301692711 ~2008
68165608431363312168711 ~2008
68165671195453253695311 ~2009
68166157791363323155911 ~2008
68169963415453597072911 ~2009
681702729128631514622312 ~2011
68170726311363414526311 ~2008
681730912327269236492112 ~2011
681747547927269901916112 ~2011
681752356716362056560912 ~2010
68177239431363544788711 ~2008
68182729311363654586311 ~2008
Exponent Prime Factor Dig. Year
68184428991363688579911 ~2008
68188074831363761496711 ~2008
68191324311363826486311 ~2008
68192898591363857971911 ~2008
68194664631363893292711 ~2008
68195363031363907260711 ~2008
681965260120458957803112 ~2011
68196556911363931138311 ~2008
68197902591363958051911 ~2008
68197934511363958690311 ~2008
68201495991364029919911 ~2008
68202565431364051308711 ~2008
68203605231364072104711 ~2008
68208318831364166376711 ~2008
68212519495457001559311 ~2009
68214211614092852696711 ~2009
68215783431364315668711 ~2008
682274818716374595648912 ~2010
68228130831364562616711 ~2008
68229151911364583038311 ~2008
68230402911364608058311 ~2008
68233492431364669848711 ~2008
68243338191364866763911 ~2008
68247218631364944372711 ~2008
68247311814094838708711 ~2009
4654
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26-03-15