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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
7238519144770398 ~1985
7238879144777598 ~1985
72389273474684979 ~1988
7239131144782638 ~1985
7239173434350398 ~1986
7239251579140098 ~1986
7239443144788878 ~1985
7239539144790798 ~1985
7239863144797278 ~1985
7239899144797998 ~1985
72404111303273999 ~1987
7240439579235138 ~1986
7240553434433198 ~1986
7240901579272098 ~1986
7240907123095419110 ~1989
72410531158568499 ~1987
7241257434475438 ~1986
7241279579302338 ~1986
7241281434476878 ~1986
7241291144825838 ~1985
7241471144829438 ~1985
7241497434489838 ~1986
7241537434492238 ~1986
7241537579322978
7241579144831598 ~1985
Exp. Prime Factor Digits Year
7241657579332578 ~1986
72416571013831999
72417471882854239 ~1987
7242077579366178 ~1986
7242143144842878 ~1985
7242149579371938 ~1986
7242241434534478 ~1986
7242419579393538 ~1986
7242551144851038 ~1985
7242637434558238 ~1986
7242707579416578 ~1986
72427331593401279 ~1987
7242737434564238 ~1986
7242847724284718 ~1986
7242863144857278 ~1985
7243163144863278 ~1985
7243381102856010310 ~1989
7243583144871678 ~1985
72436972173109119 ~1987
7243979144879598 ~1985
7244131724413118 ~1986
7244291579543298 ~1986
7244761434685678 ~1986
7244791724479118 ~1986
72451677100263679 ~1989
Exp. Prime Factor Digits Year
7245239144904798 ~1985
72452571738861699 ~1987
7245361434721678 ~1986
72453612173608319
72454391738905379 ~1987
7245863144917278 ~1985
7245923144918478 ~1985
72461331739071939 ~1987
72462291739094979 ~1987
7246363724636318 ~1986
72463872898554819 ~1988
7246559144931198 ~1985
7246643144932878 ~1985
7246667579733378 ~1986
7246753434805198 ~1986
7247257434835438 ~1986
7247291144945838 ~1985
72473337392279679 ~1989
7247351144947038 ~1985
7247393434843598 ~1986
72475572174267119 ~1987
72479271304626879 ~1987
7248119144962398 ~1985
7248251579860098 ~1986
7248299579863938 ~1986
Exp. Prime Factor Digits Year
7248379724837918 ~1986
7248497434909838 ~1986
72486532174595919 ~1987
7248739724873918 ~1986
7248821434929278 ~1986
7248881434932878 ~1986
72490931159854899 ~1987
7249211144984238 ~1985
7249337434960238 ~1986
7249441434966478 ~1986
7249523144990478 ~1985
72495731159931699 ~1987
7249841434990478 ~1986
7249919144998398 ~1985
7249943144998878 ~1985
7250051145001038 ~1985
7250189580015138 ~1986
7250231145004638 ~1985
7250291145005838 ~1985
7250339145006798 ~1985
7250363145007278 ~1985
7250717580057378 ~1986
7250861580068898 ~1986
7251011580080898 ~1986
7251059145021198 ~1985
886
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26-05-03