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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
5146451102929038 ~1983
5146763102935278 ~1983
5147399102947998 ~1983
5147507411800578 ~1985
5147531102950638 ~1983
51476571235437699 ~1986
5148119102962398 ~1983
5148131102962638 ~1983
51482331235575939 ~1986
5148499514849918 ~1985
5148551102971038 ~1983
5148623102972478 ~1983
5148659102973198 ~1983
5148659411892738
5148719102974398 ~1983
5148779926780238 ~1986
5148817308929038 ~1985
5148823514882318 ~1985
5148967514896718 ~1985
5148971411917698 ~1985
5149103102982078 ~1983
5149159514915918 ~1985
5149187411934978 ~1985
5149301308958078 ~1985
5149423514942318 ~1985
Exp. Prime Factor Digits Year
5149583102991678 ~1983
51496212059848419 ~1987
5149643102992878 ~1983
51496671338913439 ~1986
5150161309009678 ~1985
5150207927037278 ~1986
5150617309037038 ~1985
5151191412095298 ~1985
5151193309071598 ~1985
5151203103024078 ~1983
5151431103028638 ~1983
5151481309088878 ~1985
51514911648477139 ~1986
5151847927332478 ~1986
5151989412159138 ~1985
5152261309135678 ~1985
5152319103046398 ~1983
5152331103046638 ~1983
51523331133513279 ~1986
5152403103048078 ~1983
5152531515253118 ~1985
5153021309181278 ~1985
5153117309187038 ~1985
51532996183958819 ~1988
5153639103072798 ~1983
Exp. Prime Factor Digits Year
5153651103073038 ~1983
5153663103073278 ~1983
5153699103073998 ~1983
5153891103077838 ~1983
51539174947760339 ~1988
5154173721584238 ~1985
5154221412337698 ~1985
5154239103084798 ~1983
5154307515430718 ~1985
5154427824708338 ~1986
5154497309269838 ~1985
5154557309273438 ~1985
5154761412380898 ~1985
5154911103098238 ~1983
5154923103098478 ~1983
5155103103102078 ~1983
5155219515521918 ~1985
51554393815024879 ~1987
5155499103109998 ~1983
5155511103110238 ~1983
5155547412443778 ~1985
5155567515556718 ~1985
5156183214497212910 ~1989
5156213309372798 ~1985
5156561309393678 ~1985
Exp. Prime Factor Digits Year
5156663103133278 ~1983
5156891103137838 ~1983
5156971825115378 ~1986
5157143103142878 ~1983
5157197309431838 ~1985
5157203103144078 ~1983
5157247515724718 ~1985
5157419103148398 ~1983
5157479103149598 ~1983
5157547515754718 ~1985
5157599103151998 ~1983
5157731103154638 ~1983
5157791412623298 ~1985
5158001412640098 ~1985
51580734435942799 ~1987
5158199412655938 ~1985
5158277309496638 ~1985
5158453309507198 ~1985
5158501309510078 ~1985
5158711515871118 ~1985
5158883103177678 ~1983
5158987515898718 ~1985
5159047515904718 ~1985
5159617123830808110 ~1988
5159657309579438 ~1985
689
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25-04-13