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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
7434564492230369347111 ~2003
7434648731784315695311 ~2003
743482391148696478310 ~2000
743516197446109718310 ~2001
743585603148717120710 ~2000
743602511148720502310 ~2000
743620151148724030310 ~2000
743633591148726718310 ~2000
743634401446180640710 ~2001
743672771148734554310 ~2000
743718119148743623910 ~2000
743754041446252424710 ~2001
743781851148756370310 ~2000
743792771595034216910 ~2002
743809343148761868710 ~2000
743819123148763824710 ~2000
743825363148765072710 ~2000
743880803148776160710 ~2000
743888279148777655910 ~2000
743932103148786420710 ~2000
743974883148794976710 ~2000
7439963771190394203311 ~2002
744023459148804691910 ~2000
744026771148805354310 ~2000
7440450319672585403111 ~2005
Exponent Prime Factor Digits Year
744050579148810115910 ~2000
744055811148811162310 ~2000
744059483148811896710 ~2000
744096491148819298310 ~2000
744102341446461404710 ~2001
744123173446473903910 ~2001
744159239148831847910 ~2000
744160979148832195910 ~2000
744184559148836911910 ~2000
744190319148838063910 ~2000
744216611148843322310 ~2000
744244799148848959910 ~2000
744254429595403543310 ~2002
744313673446588203910 ~2001
744321971148864394310 ~2000
744336269595469015310 ~2002
744338171595470536910 ~2002
744362291148872458310 ~2000
744362519148872503910 ~2000
744376511148875302310 ~2000
744378023148875604710 ~2000
7443914691042148056711 ~2002
744405191148881038310 ~2000
744425183148885036710 ~2000
744434891148886978310 ~2000
Exponent Prime Factor Digits Year
744473963148894792710 ~2000
744501839148900367910 ~2000
744503339148900667910 ~2000
744524021595619216910 ~2002
744551399148910279910 ~2000
744572483148914496710 ~2000
744586211148917242310 ~2000
744586211595668968910
744611711148922342310 ~2000
744630779148926155910 ~2000
744631259148926251910 ~2000
744674159148934831910 ~2000
744674573446804743910 ~2001
7446861792531933008711 ~2003
744737303148947460710 ~2000
744743761446846256710 ~2001
744746399148949279910 ~2000
744753001446851800710 ~2001
744774671148954934310 ~2000
744789359148957871910 ~2000
7447956731191673076911 ~2002
7448230491042752268711 ~2002
744824831148964966310 ~2000
744826223148965244710 ~2000
744848707744848707110 ~2002
Exponent Prime Factor Digits Year
744859783744859783110 ~2002
744866099148973219910 ~2000
744870913446922547910 ~2001
744896759148979351910 ~2000
744927731148985546310 ~2000
7449512111340912179911 ~2003
7449814671340966640711 ~2003
744991451148998290310 ~2000
7450063991341011518311 ~2003
745011419149002283910 ~2000
745019603149003920710 ~2000
745025483149005096710 ~2000
745028939149005787910 ~2000
745029023149005804710 ~2000
745030883149006176710 ~2000
745056419149011283910 ~2000
745066321447039792710 ~2001
745082183149016436710 ~2000
745086971149017394310 ~2000
745096931149019386310 ~2000
745122671149024534310 ~2000
745155703745155703110 ~2002
745162703149032540710 ~2000
7451927512384616803311 ~2003
745198763149039752710 ~2000
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25-06-08