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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.
Exp. Prime Factor Digits Year
3721873818812078 ~1985
3721877223312638 ~1983
3721877521062798
3721877270208270310
3721901297752098 ~1984
3721981223318878 ~1983
3722011595521778 ~1985
3722149893315778 ~1985
372217174443437 ~1982
3722171297773698
372221974444397 ~1982
3722357297788578 ~1984
372281974456397 ~1982
372284374456877 ~1982
3722921223375278 ~1983
3723059893534178 ~1985
3723061223383678 ~1983
37231212606184719 ~1986
3723211595713778 ~1985
3723227297858178 ~1984
3723233223393998 ~1983
3723439372343918 ~1984
3723521223411278 ~1983
372371974474397 ~1982
372395974479197 ~1982
Exp. Prime Factor Digits Year
372404374480877 ~1982
37242431266242639 ~1985
37242491787639539 ~1986
3724261223455678 ~1983
37242611117278319
3724333819353278 ~1985
37243935586589519 ~1987
3724519893884578 ~1985
37245731117371919 ~1985
3724667670440078 ~1985
37247331117419919 ~1985
3724849819466798 ~1985
3724939372493918 ~1984
3725017223501038 ~1983
3725207298016578 ~1984
372523174504637 ~1982
372527974505597 ~1982
372541174508237 ~1982
37254431564686079 ~1986
3725681298054498 ~1984
372569974513997 ~1982
3725707596113138 ~1985
3725923596147698 ~1985
3726137298090978 ~1984
37263611117908319 ~1985
Exp. Prime Factor Digits Year
372641974528397 ~1982
372653974530797 ~1982
372662374532477 ~1982
372674374534877 ~1982
3726763372676318 ~1984
3726823596291698 ~1985
372692374538477 ~1982
372710374542077 ~1982
3727123596339698 ~1985
37272476932679439 ~1987
3727303596368498 ~1985
3727387372738718 ~1984
3727397223643838 ~1983
3727441596390578 ~1985
3727681125250081710 ~1988
3727721298217698 ~1984
3727727969209038 ~1985
3727847671012478 ~1985
3727937223676238 ~1983
372799174559837 ~1982
3728203372820318 ~1984
3728357223701438 ~1983
3728489298279138 ~1984
3729191671254398 ~1985
3729241596678578 ~1985
Exp. Prime Factor Digits Year
372931174586237 ~1982
37294611118838319 ~1985
3729877223792638 ~1983
3729911671383998 ~1985
372998374599677 ~1982
373001974600397 ~1982
3730201223812078 ~1983
3730231373023118 ~1984
3730547298443778 ~1984
3730607671509278 ~1985
373073974614797 ~1982
373079974615997 ~1982
3730799298463938
3730801223848078 ~1983
373082374616477 ~1982
3730847895403298 ~1985
37309193880155779 ~1987
37309491790855539 ~1986
3731213223872798 ~1983
3731237522373198 ~1984
373160374632077 ~1982
3731621223897278 ~1983
3731803149272120110 ~1988
3731851671733198 ~1985
3732139373213918 ~1984
585
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26-01-11