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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
80680791936338979 ~1988
80681711452270799 ~1987
8068223161364478 ~1985
8068457484107438 ~1986
80687771936506499 ~1988
8069533484171998 ~1986
8070599161411998 ~1985
80708579685028419 ~1989
8071033484261998 ~1986
8071127645690178 ~1986
8071139161422798 ~1985
8071223161424478 ~1985
8071463161429278 ~1985
8071517484291038 ~1986
8072041484322478 ~1986
8072111161442238 ~1985
8072137484328238 ~1986
80721591452988639 ~1987
8072171161443438 ~1985
8072171645773698
8072591161451838 ~1985
80726212583238739 ~1988
8073041645843298 ~1986
8073077484384638 ~1986
8073431161468638 ~1985
Exp. Prime Factor Digits Year
8073491161469838 ~1985
8073817484429038 ~1986
8073887645910978 ~1986
8073911161478238 ~1985
8074013484440798 ~1986
8074217484453038 ~1986
8074277645942178 ~1986
8074739169569519110 ~1990
8075003161500078 ~1985
80750831292013299 ~1987
80751732422551919 ~1988
8075429646034338 ~1986
8075471161509438 ~1985
8075777484546638 ~1986
80759393876450739 ~1988
8075999161519998 ~1985
8076371161527438 ~1985
8076443161528878 ~1985
80765991938383779 ~1988
8076641484598478 ~1986
8076701484602078 ~1986
8076779161535598 ~1985
8076961484617678 ~1986
8076977484618638 ~1986
8076983161539678 ~1985
Exp. Prime Factor Digits Year
8077259161545198 ~1985
8077271161545438 ~1985
8077379161547598 ~1985
80775291130854079 ~1987
80776213715705679 ~1988
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
Exp. Prime Factor Digits Year
8080957484857438 ~1986
8081041484862478 ~1986
8081057484863438 ~1986
80810938889202319 ~1989
80812211777868639 ~1987
8081351161627038 ~1985
8081399161627998 ~1985
8081471161629438 ~1985
80815013070970399 ~1988
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
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25-04-13