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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
2049647491915298 ~1983
2049659163972738 ~1982
2049721327955378 ~1982
2049727204972718 ~1982
2049791163983298 ~1982
2049863491967138 ~1983
2049953122997198 ~1981
2049961122997678 ~1981
205021141004237 ~1980
20502533567440239 ~1985
20502533731460479
2050273451060078 ~1983
2050337123020238 ~1981
2050397492095298 ~1983
205040341008077 ~1980
205051141010237 ~1980
205088341017677 ~1980
2051087164086978 ~1982
205111141022237 ~1980
205112341022477 ~1980
2051167492280098 ~1983
2051249164099938 ~1982
2051251205125118 ~1982
2051419205141918 ~1982
20514771107797599 ~1984
Exp. Prime Factor Digits Year
2051759369316638 ~1983
2051821451400638 ~1983
2051839205183918 ~1982
2051887205188718 ~1982
205199941039997 ~1980
205211941042397 ~1980
2052163328346098 ~1982
20521991190275439 ~1984
2052431533632078 ~1983
2052473123148398 ~1981
2052553615765918 ~1983
2052737164218978 ~1982
2052907369523278 ~1983
2052907985395378
205292341058477 ~1980
2052943492706338 ~1983
2053031164242498 ~1982
2053087205308718 ~1982
2053087328493938
20531891929997679 ~1984
2053201123192078 ~1981
205321141064237 ~1980
2053291328526578 ~1982
2053291369592398
2053361123201678 ~1981
Exp. Prime Factor Digits Year
2053517492844098 ~1983
2053573328571698 ~1982
20536271314321299 ~1984
205363141072637 ~1980
2053673123220398 ~1981
2053757123225438 ~1981
2054021123241278 ~1981
2054023205402318 ~1982
2054113123246798 ~1981
205423141084637 ~1980
2054341328694578 ~1982
20545971150574339 ~1984
2054623493109538 ~1983
20546273616143539 ~1985
2054629821851618 ~1983
205463941092797 ~1980
2054707493129698 ~1983
205477141095437 ~1980
2054903657568978 ~1983
205493941098797 ~1980
2054939164395138
2055041123302478 ~1981
205507141101437 ~1980
2055107164408578 ~1982
2055187369933678 ~1983
Exp. Prime Factor Digits Year
2055197616559118 ~1983
2055437287761198 ~1982
20554371644349619
205550341110077 ~1980
2055503534430798
2055569164445538 ~1982
2055673123340398 ~1981
205640341128077 ~1980
2056421781439998 ~1983
20564211604008399
2056753329080498 ~1982
20568911192996799 ~1984
205691941138397 ~1980
2056919164553538
2056927205692718 ~1982
2056961164556898 ~1982
205697941139597 ~1980
2057147534858238 ~1983
205741141148237 ~1980
205754341150877 ~1980
2057599205759918 ~1982
2057639164611138 ~1982
2057711164616898 ~1982
20577912181258479 ~1984
2057807370405278 ~1983
389
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25-04-13