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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
2177353522564738 ~1983
2177449870979618 ~1984
2177453130647198 ~1982
2177573304860238 ~1983
2177957827623678 ~1984
217799943559997 ~1980
217808343561677 ~1980
2178131914815038 ~1984
2178133130687998 ~1982
2178149697007698 ~1983
2178151217815118 ~1982
2178151392067198
217838343567677 ~1980
2178439217843918 ~1982
217844343568877 ~1980
2178557130713438 ~1982
2178679392162238 ~1983
2178947392210478 ~1983
217913943582797 ~1980
2179139697324498
217922343584477 ~1980
217976343595277 ~1980
2179769174381538 ~1982
217982343596477 ~1980
2179997305199598 ~1983
Exp. Prime Factor Digits Year
218003943600797 ~1980
2180071348811378 ~1983
2180111174408898 ~1982
21801191046457139 ~1984
218021943604397 ~1980
2180293872117218 ~1984
21802931177358239
218035143607037 ~1980
21804913488785619 ~1985
218054343610877 ~1980
218060343612077 ~1980
21806031570034179
2180723523373538 ~1983
2180873130852398 ~1982
2180911218091118 ~1982
21810171046888179 ~1984
2181071174485698 ~1982
21810973664242979 ~1985
2181149305360878 ~1983
2181173654351918 ~1983
218135943627197 ~1980
2181379523530978 ~1983
2181461130887678 ~1982
2181539174523138 ~1982
2181541872616418 ~1984
Exp. Prime Factor Digits Year
2181601349056178 ~1983
218161143632237 ~1980
218165943633197 ~1980
2181671392700798 ~1983
218171943634397 ~1980
2181919523660578 ~1983
2182199916523598 ~1984
218225943645197 ~1980
2182259174580738
2182451174596098 ~1982
2182529305554078 ~1983
2182573480166078 ~1983
218281143656237 ~1980
2182937174634978 ~1982
2183117523948098 ~1983
2183287218328718 ~1982
2183453131007198 ~1982
2183521349363378 ~1983
218354343670877 ~1980
218357943671597 ~1980
21837491179224479 ~1984
2183809524114178 ~1983
2183899917237598 ~1984
2183959218395918 ~1982
218396343679277 ~1980
Exp. Prime Factor Digits Year
2184001349440178 ~1983
218417943683597 ~1980
218426343685277 ~1980
2184293305801038 ~1983
2184323698983378 ~1983
2184397131063838 ~1982
2184641131078478 ~1982
2184641174771298
2184647174771778 ~1982
2184877131092638 ~1982
2184967218496718 ~1982
2184967124543119110
21849892621986819 ~1985
2184991218499118 ~1982
2184997131099838 ~1982
21851871966668319 ~1985
2185201131112078 ~1982
2185297349647538 ~1983
218534343706877 ~1980
2185373524489538 ~1983
2185493305969038 ~1983
2185517524524098 ~1983
21855675245360819 ~1986
218561943712397 ~1980
2185727174858178 ~1982
404
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25-04-13