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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
24542291325283679 ~1984
245425149085037 ~1981
2454343589042338 ~1984
245435949087197 ~1981
2454407196352578 ~1982
2454437147266238 ~1982
245450349090077 ~1981
2454523245452318 ~1983
245467149093437 ~1981
24546713976567039
2454761932809198 ~1984
2454773147286398 ~1982
2454853392776498 ~1983
245491149098237 ~1981
2454911196392898
24549111227455519
2454961736488318 ~1984
2455207834770398 ~1984
2455261147315678 ~1982
2455469196437538 ~1982
24554992995708799 ~1985
2455547638442238 ~1984
2455553343777438 ~1983
2455741736722318 ~1984
24558472406730079 ~1985
Exp. Prime Factor Digits Year
245612349122477 ~1981
2456197392991538 ~1983
2456401147384078 ~1982
2456437393029938 ~1983
2456501147390078 ~1982
24565571326540799 ~1984
245665149133037 ~1981
2456747638754238 ~1984
2456801196544098 ~1982
2456963589671138 ~1984
2456981147418878 ~1982
245699949139997 ~1981
2457073147424398 ~1982
2457127589710498 ~1984
2457241147434478 ~1982
2457347589763298 ~1984
2457617933894478 ~1984
2457733578058801710 ~1988
2457737147464238 ~1982
2457817147469038 ~1982
2457943393270898 ~1983
24579671622258239 ~1985
2458019589924578 ~1984
2458019786566098
245803149160637 ~1981
Exp. Prime Factor Digits Year
245813949162797 ~1981
245822349164477 ~1981
2458321147499278 ~1982
2458327589998498 ~1984
2458411245841118 ~1983
2458459245845918 ~1983
245867949173597 ~1981
2458759442576638 ~1983
245900349180077 ~1981
24592011377152579 ~1984
24592914131608899 ~1986
2459311245931118 ~1983
2459311983724418
2459497147569838 ~1982
2459497983798818
24596175263580399 ~1986
2459621147577278 ~1982
24596211524965039
2459623393539698 ~1983
2459701147582078 ~1982
2459749541144798 ~1983
2459767442758078 ~1983
2459773541150078 ~1983
2459789196783138 ~1982
2459861147591678 ~1982
Exp. Prime Factor Digits Year
24598791229939519 ~1984
2459921147595278 ~1982
2459923393587698 ~1983
2459993344399038 ~1983
2460013147600798 ~1982
2460061147603678 ~1982
2460467196837378 ~1982
246053949210797 ~1981
24606373543317299 ~1985
2460673147640398 ~1982
246074349214877 ~1981
246079149215837 ~1981
246080349216077 ~1981
2460817147649038 ~1982
246095949219197 ~1981
2461037147662238 ~1982
2461091196887298 ~1982
2461091787549138
246116349223277 ~1981
246122349224477 ~1981
2461313738393918 ~1984
24614531329184639 ~1984
2461457590749698 ~1984
2461601147696078 ~1982
246164349232877 ~1981
452
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26-04-05