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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
743112131148622426310 ~2000
743123219148624643910 ~2000
743124071148624814310 ~2000
743142503148628500710 ~2000
743159051148631810310 ~2000
743176523148635304710 ~2000
743219891148643978310 ~2000
743224043148644808710 ~2000
743287739148657547910 ~2000
743296019148659203910 ~2000
7432969071783912576911 ~2003
743299643148659928710 ~2000
743306897445984138310 ~2001
743314357445988614310 ~2001
743340863148668172710 ~2000
743349683148669936710 ~2000
743352583743352583110 ~2002
743358661446015196710 ~2001
743381921446029152710 ~2001
743385563148677112710 ~2000
743395721446037432710 ~2001
743409239148681847910 ~2000
743413343148682668710 ~2000
743416871148683374310 ~2000
743425031148685006310 ~2000
Exponent Prime Factor Digits Year
743429003148685800710 ~2000
743438471148687694310 ~2000
743454203148690840710 ~2000
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 ~2003
Exponent Prime Factor Digits Year
744023459148804691910 ~2000
744026771148805354310 ~2000
744027961446416776710 ~2001
7440450319672585403111 ~2005
744050579148810115910 ~2000
744055811148811162310 ~2000
744059483148811896710 ~2000
744096491148819298310 ~2000
744102341446461404710 ~2001
744123173446473903910 ~2001
744159239148831847910 ~2000
744160979148832195910 ~2000
744184559148836911910 ~2000
744190319148838063910 ~2000
744216611148843322310 ~2000
744244799148848959910 ~2000
744252251148850450310 ~2000
744254429595403543310 ~2002
744264491148852898310 ~2000
744313673446588203910 ~2001
744321971148864394310 ~2000
744336269595469015310 ~2002
744338171595470536910 ~2002
744362291148872458310 ~2000
744362519148872503910 ~2000
Exponent Prime Factor Digits Year
744376511148875302310 ~2000
744378023148875604710 ~2000
7443914691042148056711 ~2002
744405191148881038310 ~2000
744425183148885036710 ~2000
744434891148886978310 ~2000
744473963148894792710 ~2000
744501839148900367910 ~2000
744503339148900667910 ~2000
744524021595619216910 ~2002
744551399148910279910 ~2000
7445601893573888907311 ~2004
744572483148914496710 ~2000
744586211148917242310 ~2000
744586211595668968910
744611711148922342310 ~2000
744630779148926155910 ~2000
744631259148926251910 ~2000
744653411148930682310 ~2000
744674159148934831910 ~2000
7446743691042544116711 ~2002
744674573446804743910 ~2001
7446861792531933008711 ~2003
744737303148947460710 ~2000
744743761446846256710 ~2001
3578
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25-11-02