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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
8077847646227778 ~1986
8077913484674798 ~1986
80780695008402799 ~1989
8078201646256098 ~1986
8078951161579038 ~1985
8079041484742478 ~1986
8079299161585998 ~1985
8079497484769838 ~1986
80797791454360239 ~1987
8079857646388578 ~1986
8080201484812078 ~1986
80802016302556799
8080223161604478 ~1985
8080283161605678 ~1985
8080313484818798 ~1986
8080343161606878 ~1985
8080451646436098 ~1986
8080679161613598 ~1985
8080693484841598 ~1986
8080931646474498 ~1986
8080957484857438 ~1986
8081041484862478 ~1986
8081057484863438 ~1986
80810938889202319 ~1989
8081351161627038 ~1985
Exp. Prime Factor Digits Year
8081399161627998 ~1985
8081471161629438 ~1985
8081527808152718 ~1987
8081543161630878 ~1985
8081663161633278 ~1985
8082161484929678 ~1986
8082251161645038 ~1985
8082311161646238 ~1985
8082653484959198 ~1986
8083139161662798 ~1985
8083259161665198 ~1985
8083391161667838 ~1985
8083643161672878 ~1985
8084099161681998 ~1985
8084159161683198 ~1985
8084647808464718 ~1987
80854491940507779 ~1988
8085503161710078 ~1985
8085793485147598 ~1986
8086139646891138 ~1986
8086277646902178 ~1986
8086321485179278 ~1986
8086657485199438 ~1986
8086697485201838 ~1986
80868431293894899 ~1987
Exp. Prime Factor Digits Year
8086931161738638 ~1985
8087153485229198 ~1986
8087333485239998 ~1986
8087371109988245710 ~1989
8087477485248638 ~1986
8087591647007298 ~1986
80875912102773679
80877075337886639 ~1989
8087813485268798 ~1986
8087861647028898 ~1986
8087951161759038 ~1985
8088323161766478 ~1985
8088389647071138 ~1986
8088761647100898 ~1986
8089391161787838 ~1985
8089619161792398 ~1985
8089799161795998 ~1985
8090141485408478 ~1986
8090267647221378 ~1986
8090279161805598 ~1985
8090651161813038 ~1985
8090711161814238 ~1985
8090843161816878 ~1985
80909931132739039 ~1987
8091119161822398 ~1985
Exp. Prime Factor Digits Year
8091431161828638 ~1985
8091431647314498
8091491161829838 ~1985
8091617647329378 ~1986
80916791456502239 ~1987
8092109647368738 ~1986
80926571942237699 ~1988
8092811161856238 ~1985
8092817647425378 ~1986
8092919161858398 ~1985
8092967111682944710 ~1989
8093303161866078 ~1985
8093551809355118 ~1987
8093699161873998 ~1985
80937111456867999 ~1987
8094017647521378 ~1986
8094061485643678 ~1986
8094257647540578 ~1986
8094341485660478 ~1986
8094491161889838 ~1985
8094563161891278 ~1985
80949292590377299 ~1988
8095063155425209710 ~1990
80952315828566339 ~1989
8095259161905198 ~1985
873
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24-10-27