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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
2787768143557553628710 ~2005
2787815339557563067910 ~2005
27882435611672946136711 ~2006
2788445039557689007910 ~2005
2788720703557744140710 ~2005
2788879811557775962310 ~2005
2788950551557790110310 ~2005
2788959011557791802310 ~2005
27889592812231167424911 ~2006
27890488372231239069711 ~2006
2789065991557813198310 ~2005
2789147363557829472710 ~2005
27891626333904827686311 ~2007
2789240579557848115910 ~2005
2789438339557887667910 ~2005
2789722079557944415910 ~2005
2789879051557975810310 ~2005
27899904731673994283911 ~2006
2790104231558020846310 ~2005
27901744274464279083311 ~2007
2790174503558034900710 ~2005
2790202931558040586310 ~2005
27902082292232166583311 ~2006
2790221519558044303910 ~2005
27904476315022805735911 ~2007
Exponent Prime Factor Digits Year
2790513683558102736710 ~2005
2790712763558142552710 ~2005
2790730619558146123910 ~2005
27908591774465374683311 ~2007
279114640120096254087312 ~2009
27911555595024080006311 ~2007
2791226411558245282310 ~2005
2791253351558250670310 ~2005
2791325483558265096710 ~2005
279138386311723812224712 ~2008
2791470659558294131910 ~2005
2791602431558320486310 ~2005
27916173978374852191111 ~2008
2791654559558330911910 ~2005
27919216611675152996711 ~2006
2791942619558388523910 ~2005
27919636131675178167911 ~2006
27919693634467150980911 ~2007
2791974203558394840710 ~2005
27919939931675196395911 ~2006
2792018063558403612710 ~2005
2792270531558454106310 ~2005
2792335103558467020710 ~2005
2792342963558468592710 ~2005
27924753131675485187911 ~2006
Exponent Prime Factor Digits Year
2792524379558504875910 ~2005
27925476772234038141711 ~2006
27925674731675540483911 ~2006
2792608919558521783910 ~2005
2792617343558523468710 ~2005
27926635211675598112711 ~2006
2792690639558538127910 ~2005
27928251731675695103911 ~2006
2792851823558570364710 ~2005
27928810731675728643911 ~2006
2793021191558604238310 ~2005
279310506111172420244112 ~2008
2793131459558626291910 ~2005
2793160439558632087910 ~2005
27932320373910524851911 ~2007
2793300431558660086310 ~2005
27933024712234641976911 ~2006
2793309539558661907910 ~2005
27933568571676014114311 ~2006
27934009211676040552711 ~2006
2793606083558721216710 ~2005
27937405072234992405711 ~2006
2793764951558752990310 ~2005
2793872771558774554310 ~2005
2793903971558780794310 ~2005
Exponent Prime Factor Digits Year
2794047671558809534310 ~2005
2794178963558835792710 ~2005
2794249163558849832710 ~2005
2794252943558850588710 ~2005
2794265339558853067910 ~2005
27943987072235518965711 ~2006
27945392692235631415311 ~2006
2794552583558910516710 ~2005
27945704331676742259911 ~2006
2794598399558919679910 ~2005
27946312931676778775911 ~2006
2794860251558972050310 ~2005
2795077619559015523910 ~2005
2795163323559032664710 ~2005
2795204003559040800710 ~2005
27953018114472482897711 ~2007
2795320103559064020710 ~2005
2795359043559071808710 ~2005
279568040311741857692712 ~2008
2795726231559145246310 ~2005
2795833979559166795910 ~2005
2795949419559189883910 ~2005
27959548011677572880711 ~2006
2795966471559193294310 ~2005
2796005279559201055910 ~2005
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25-06-01