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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
7448473446908398 ~1986
74484771042786799 ~1987
7448599744859918 ~1986
74486032383552979 ~1988
7448657446919438 ~1986
74487131787691139 ~1987
7448723148974478 ~1985
7449017446941038 ~1986
7449059148981198 ~1985
7449133446947998 ~1986
7449151744915118 ~1986
74493013575664499 ~1988
7449461446967678 ~1986
7449821595985698 ~1986
74498472979938819 ~1988
7450043149000878 ~1985
7450117447007038 ~1986
74504095960327219 ~1989
7450427596034178 ~1986
7450637447038238 ~1986
74506372831242079
7450823149016478 ~1985
7450921447055278 ~1986
7450931149018638 ~1985
7451351149027038 ~1985
Exp. Prime Factor Digits Year
7451399149027998 ~1985
7451597447095838 ~1986
7451713447102798 ~1986
74518795365352899 ~1988
7451891149037838 ~1985
7451957596156578 ~1986
7452143149042878 ~1985
7452311149046238 ~1985
74523235365672579 ~1988
7452491149049838 ~1985
7452659596212738 ~1986
74527871341501679 ~1987
7452827596226178 ~1986
7452833447169998 ~1986
7452877447172638 ~1986
7453343149066878 ~1985
7453409596272738 ~1986
7453991149079838 ~1985
74543874174456739 ~1988
74547311341851599 ~1987
7454791745479118 ~1986
7454807596384578 ~1986
7455083149101678 ~1985
7455179149103598 ~1985
7455257111828855110 ~1989
Exp. Prime Factor Digits Year
7455269596421538 ~1986
74553731640182079 ~1987
7455431596434498 ~1986
7455803149116078 ~1985
74559772236793119 ~1988
7456279745627918 ~1986
7456283149125678 ~1985
7456511149130238 ~1985
74566193131779999 ~1988
7457053447423198 ~1986
7457111149142238 ~1985
74571135219979119 ~1988
7457123149142478 ~1985
7457171149143438 ~1985
7457587745758718 ~1986
7457711149154238 ~1985
7457771149155438 ~1985
74577971193247539 ~1987
74581371044139199 ~1987
7458179149163598 ~1985
7458313447498798 ~1986
7458379745837918 ~1986
74585231193363699 ~1987
7458551149171038 ~1985
7458623149172478 ~1985
Exp. Prime Factor Digits Year
74589172834388479 ~1988
7459079149181598 ~1985
7459097447545838 ~1986
74590971044273599
74592971193487539 ~1987
7459559149191198 ~1985
7459811149196238 ~1985
7459997447599838 ~1986
7460039149200798 ~1985
7460111149202238 ~1985
7460191746019118 ~1986
74602311342841599 ~1987
7460471149209438 ~1985
7460641447638478 ~1986
7461121447667278 ~1986
7461299149225998 ~1985
7461491149229838 ~1985
7461599596927938 ~1986
7461667746166718 ~1986
7462043149240878 ~1985
7462151149243038 ~1985
7462319149246398 ~1985
7462397596991778 ~1986
7462523149250478 ~1985
7462601447756078 ~1986
910
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26-08-02