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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
5017361301041678 ~1984
5017451100349038 ~1983
5017511100350238 ~1983
5017583100351678 ~1983
5017721301063278 ~1984
5017889207740604710 ~1989
5018003100360078 ~1983
5018177702544798 ~1985
5018437802949938 ~1986
5018513301110798 ~1984
5018513702591838
5018593802974898 ~1986
5018647501864718 ~1985
5018803501880318 ~1985
5018837301130238 ~1984
5018887501888718 ~1985
5018891903400398 ~1986
5019067501906718 ~1985
50191871204604899 ~1986
5019299100385998 ~1983
5019319903477438 ~1986
5019431401554498 ~1985
50194731606231379 ~1986
5019569401565538 ~1985
5019767401581378 ~1985
Exp. Prime Factor Digits Year
5019797301187838 ~1984
5020139401611138 ~1985
5020201301212078 ~1984
5020217301213038 ~1984
5020259100405198 ~1983
5020307401624578 ~1985
5020553353446931310 ~1990
5020583100411678 ~1983
50205831305351599
5020793702911038 ~1985
50209091506272719 ~1986
5021201401696098 ~1985
5021231100424638 ~1983
5021407502140718 ~1985
5021531100430638 ~1983
5021543100430878 ~1983
5021771100435438 ~1983
5021917301315038 ~1984
5021923502192318 ~1985
50223012410704499 ~1987
5022317301339038 ~1984
5022323100446478 ~1983
50225471205411299 ~1986
5022683100453678 ~1983
50226831305897599
Exp. Prime Factor Digits Year
5022779100455598 ~1983
5023169703243678 ~1985
5023363803738098 ~1986
50233996530418719 ~1988
5023871100477438 ~1983
5024057401924578 ~1985
5024081301444878 ~1984
50242931507287919 ~1986
5024819100496398 ~1983
5024977301498638 ~1984
5025203100504078 ~1983
5025211904537998 ~1986
5025479100509598 ~1983
5025719100514398 ~1983
50257213920062399 ~1987
5025791100515838 ~1983
5025941402075298 ~1985
5025947402075778 ~1985
5026003502600318 ~1985
5026157703661998 ~1985
5026223100524478 ~1983
5026403100528078 ~1983
5026423502642318 ~1985
5026519502651918 ~1985
5026531904775598 ~1986
Exp. Prime Factor Digits Year
50266331206391939 ~1986
5026649703730878 ~1985
5026733301603998 ~1984
5026841402147298 ~1985
50271011105962239 ~1986
50271191709220479 ~1986
5027251804360178 ~1986
5027591100551838 ~1983
5027663100553278 ~1983
50276692714941279 ~1987
50279637340825999 ~1988
5028071100561438 ~1983
5028131402250498 ~1985
5028533301711998 ~1984
5028761301725678 ~1984
5028791100575838 ~1983
50290276940057279 ~1988
5029103100582078 ~1983
5029109704075278 ~1985
5029163100583278 ~1983
50292731508781919 ~1986
5029463100589278 ~1983
5029763100595278 ~1983
5030219100604398 ~1983
5030423100608478 ~1983
679
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25-04-13