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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
24510791568690579 ~1985
2451259245125918 ~1983
24513312157171299 ~1985
24513314118236099
2451377147082638 ~1982
245141949028397 ~1981
245153949030797 ~1981
2451671196133698 ~1982
2451721147103278 ~1982
2451847441332478 ~1983
2451919245191918 ~1983
2451937392309938 ~1983
2451947196155778 ~1982
24520134462663679 ~1986
2452259196180738 ~1982
24522593384117439
2452313147138798 ~1982
2452493343349038 ~1983
2452531245253118 ~1983
2452759588662178 ~1984
2452783245278318 ~1983
2452963392474098 ~1983
2453027196242178 ~1982
245303949060797 ~1981
245305149061037 ~1981
Exp. Prime Factor Digits Year
24531831030336879 ~1984
2453291196263298 ~1982
2453293539724478 ~1983
2453453343483438 ~1983
245345949069197 ~1981
2453497147209838 ~1982
245351949070397 ~1981
245354349070877 ~1981
2453653147219198 ~1982
24537137017619199 ~1986
2453821147229278 ~1982
2453861147231678 ~1982
2454079981631618 ~1984
2454149196331938 ~1982
24542291325283679 ~1984
245425149085037 ~1981
2454343589042338 ~1984
245435949087197 ~1981
2454407196352578 ~1982
2454437147266238 ~1982
245450349090077 ~1981
2454523245452318 ~1983
245467149093437 ~1981
24546713976567039
2454761932809198 ~1984
Exp. Prime Factor Digits Year
2454773147286398 ~1982
2454853392776498 ~1983
245491149098237 ~1981
2454911196392898
24549111227455519
2455207834770398 ~1984
2455261147315678 ~1982
2455469196437538 ~1982
24554992995708799 ~1985
2455547638442238 ~1984
2455553343777438 ~1983
2455741736722318 ~1984
24558472406730079 ~1985
245612349122477 ~1981
2456197392991538 ~1983
2456401147384078 ~1982
2456437393029938 ~1983
2456501147390078 ~1982
24565571326540799 ~1984
245665149133037 ~1981
2456747638754238 ~1984
2456801196544098 ~1982
2456963589671138 ~1984
2456981147418878 ~1982
245699949139997 ~1981
Exp. Prime Factor Digits Year
2457073147424398 ~1982
2457127589710498 ~1984
2457241147434478 ~1982
2457347589763298 ~1984
2457617933894478 ~1984
2457733578058801710 ~1988
2457737147464238 ~1982
2457817147469038 ~1982
2457943393270898 ~1983
24579671622258239 ~1985
2458019589924578 ~1984
245803149160637 ~1981
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
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