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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
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
2792524379558504875910 ~2005
27925476772234038141711 ~2006
27925674731675540483911 ~2006
2792608919558521783910 ~2005
2792617343558523468710 ~2005
27926635211675598112711 ~2006
2792690639558538127910 ~2005
27928251731675695103911 ~2006
2792851823558570364710 ~2005
Exponent Prime Factor Digits Year
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
2793903971558780794310 ~2005
2794047671558809534310 ~2005
2794178963558835792710 ~2005
2794249163558849832710 ~2005
2794252943558850588710 ~2005
2794265339558853067910 ~2005
27943987072235518965711 ~2006
27945392692235631415311 ~2006
2794552583558910516710 ~2005
27945704331676742259911 ~2006
2794598399558919679910 ~2005
Exponent Prime Factor Digits Year
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
27961653771677699226311 ~2006
2796234323559246864710 ~2005
2796350891559270178310 ~2005
2796456011559291202310 ~2005
2796497471559299494310 ~2005
2796614963559322992710 ~2005
2796748631559349726310 ~2005
2796836099559367219910 ~2005
2796949271559389854310 ~2005
2797023899559404779910 ~2005
Exponent Prime Factor Digits Year
2797085111559417022310 ~2005
2797117751559423550310 ~2005
27971439172237715133711 ~2006
2797206143559441228710 ~2005
2797284419559456883910 ~2005
2797354979559470995910 ~2005
2797459211559491842310 ~2005
2797477379559495475910 ~2005
27975498192797549819111 ~2006
27975576496714138357711 ~2007
27976369972238109597711 ~2006
2797704839559540967910 ~2005
27978125931678687555911 ~2006
2797921331559584266310 ~2005
2797986239559597247910 ~2005
2798043623559608724710 ~2005
2798048063559609612710 ~2005
2798198159559639631910 ~2005
2798300111559660022310 ~2005
27983017973917622515911 ~2007
2798373863559674772710 ~2005
27984432176716263720911 ~2007
2798516711559703342310 ~2005
2798654051559730810310 ~2005
2798678903559735780710 ~2005
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25-04-13