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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
7456511149130238 ~1985
74566193131779999 ~1988
7457053447423198 ~1986
7457111149142238 ~1985
74571135219979119 ~1988
7457123149142478 ~1985
7457171149143438 ~1985
7457711149154238 ~1985
7457771149155438 ~1985
74577971193247539 ~1987
74581371044139199 ~1987
7458179149163598 ~1985
7458313447498798 ~1986
7458551149171038 ~1985
7458623149172478 ~1985
74589172834388479 ~1988
7459079149181598 ~1985
7459097447545838 ~1986
74590971044273599
74592971193487539 ~1987
7459559149191198 ~1985
7459811149196238 ~1985
7459997447599838 ~1986
7460039149200798 ~1985
7460111149202238 ~1985
Exp. Prime Factor Digits Year
7460191746019118 ~1986
74602311342841599 ~1987
7460471149209438 ~1985
7460641447638478 ~1986
7461121447667278 ~1986
7461299149225998 ~1985
7461491149229838 ~1985
7461599596927938 ~1986
7462043149240878 ~1985
7462151149243038 ~1985
7462319149246398 ~1985
7462397596991778 ~1986
7462523149250478 ~1985
7462601447756078 ~1986
7462751149255038 ~1985
7462919149258398 ~1985
7463231149264638 ~1985
7463249597059938 ~1986
7463279149265598 ~1985
7463279597062338
7463321447799278 ~1986
7463363149267278 ~1985
7463723149274478 ~1985
74637911194206579 ~1987
74638871791332899 ~1987
Exp. Prime Factor Digits Year
7463971746397118 ~1986
7464013447840798 ~1986
7464059149281198 ~1985
7464137447848238 ~1986
7464253447855198 ~1986
7464313447858798 ~1986
74644612836495199 ~1988
7464839149296798 ~1985
7464851149297038 ~1985
7464923149298478 ~1985
7464959149299198 ~1985
7465511149310238 ~1985
7465583149311678 ~1985
74656971045197599 ~1987
74657631791783139 ~1987
74659791791834979 ~1987
7466423149328478 ~1985
7466699597335938 ~1986
74667591792022179 ~1987
7466819597345538 ~1986
7466831149336638 ~1985
7466861448011678 ~1986
7467059149341198 ~1985
7467671149353438 ~1985
7467773448066398 ~1986
Exp. Prime Factor Digits Year
7468067597445378 ~1986
74681295825140639 ~1989
7468211597456898 ~1986
7468403149368078 ~1985
7468451149369038 ~1985
7468619149372398 ~1985
7468781448126878 ~1986
7468943149378878 ~1985
7469039597523138 ~1986
7469081448144878 ~1986
7469177597534178 ~1986
7469699149393998 ~1985
7469939149398798 ~1985
7470143149402878 ~1985
7470761448245678 ~1986
74707631195322099 ~1987
7470839149416798 ~1985
7471081448264878 ~1986
7471601597728098 ~1986
7471679597734338 ~1986
7471811149436238 ~1985
7471811597744898
7471931597754498 ~1986
7471991149439838 ~1985
7472051149441038 ~1985
858
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25-04-13