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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
21224771424495438 ~1988
21224783424495678 ~1988
212249712122497119 ~1990
21225563424511278 ~1988
21225719424514398 ~1988
21225959424519198 ~1988
212261411273568479 ~1989
212262918915042239 ~1991
21226379424527598 ~1988
212272011273632079 ~1989
21227711424554238 ~1988
212286531273719199 ~1989
21228659424573198 ~1988
212290011273740079 ~1989
21229031424580638 ~1988
21229163424583278 ~1988
21229199424583998 ~1988
212292496368774719 ~1991
21229751424595038 ~1988
21229919424598398 ~1988
21229979424599598 ~1988
212305372972275199 ~1990
21230879424617598 ~1988
21230903424618078 ~1988
21230927101908449710 ~1992
Exponent Prime Factor Digits Year
212316113821689999 ~1991
21231851424637038 ~1988
212321991698575939 ~1990
21232259424645198 ~1988
212325318493012419 ~1991
21233123424662478 ~1988
212334971274009839 ~1989
21233939424678798 ~1988
212350011274100079 ~1989
21235523424710478 ~1988
212357271698858179 ~1990
21236063424721278 ~1988
21236123424722478 ~1988
21236399424727998 ~1988
212368571274211439 ~1989
212368671698949379 ~1990
21237011424740238 ~1988
21237143424742878 ~1988
21237239424744798 ~1988
212373433397974899 ~1990
21237431424748638 ~1988
212376131274256799 ~1989
21237731424754638 ~1988
21238271424765438 ~1988
21239363424787278 ~1988
Exponent Prime Factor Digits Year
21239483424789678 ~1988
212394971274369839 ~1989
212395971699167779 ~1990
21239639424792798 ~1988
21240311424806238 ~1988
212406433398502899 ~1990
212410371274462239 ~1989
212410931274465599 ~1989
212419371699354979 ~1990
21241991424839838 ~1988
21242339424846798 ~1988
212429171274575039 ~1989
21242999424859998 ~1988
21243011424860238 ~1988
21243023424860478 ~1988
21243503424870078 ~1988
212438211274629279 ~1989
212439971274639839 ~1989
21244199424883998 ~1988
21244991424899838 ~1988
21245051424901038 ~1988
21245099424901998 ~1988
21245963424919278 ~1988
212459771274758639 ~1989
21246143424922878 ~1988
Exponent Prime Factor Digits Year
212461934674162479 ~1991
21246419424928398 ~1988
21246551424931038 ~1988
212467811274806879 ~1989
21247151424943038 ~1988
212473191699785539 ~1990
212473214674410639 ~1991
21248231424964638 ~1988
21248651424973038 ~1988
21248663424973278 ~1988
21248819424976398 ~1988
21249731424994638 ~1988
21249863424997278 ~1988
21250511425010238 ~1988
212510533400168499 ~1990
212516895100405379 ~1991
21251903425038078 ~1988
21252239425044798 ~1988
21252551425051038 ~1988
21252971425059438 ~1988
21253019425060398 ~1988
212532771275196639 ~1989
212533611700268899 ~1990
21253499425069998 ~1988
212536971275221839 ~1989
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