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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
2649611476929998 ~1984
2649709635930178 ~1984
26497271271868979 ~1985
264985152997037 ~1981
2649851211988098
2649863635967138 ~1984
2649863847956178
2649989370998478 ~1983
2650163636039138 ~1984
265021153004237 ~1981
2650229848073298 ~1984
26502591113108799 ~1984
2650337159020238 ~1982
2650357159021438 ~1982
2650387424061938 ~1983
265046353009277 ~1981
2650573159034398 ~1982
2650577159034638 ~1982
2650787636188898 ~1984
2651053636252738 ~1984
265106353021277 ~1981
265111153022237 ~1981
2651191477214398 ~1984
26513593817956979 ~1986
2651443636346338 ~1984
Exp. Prime Factor Digits Year
265148353029677 ~1981
2651489371208478 ~1983
2651513159090798 ~1982
2651611265161118 ~1983
2651629583358398 ~1984
2651669371233678 ~1983
265169953033997 ~1981
2651717159103038 ~1982
2651777159106638 ~1982
265178353035677 ~1981
2651837383985997710 ~1988
2651893159113598 ~1982
2651959477352638 ~1984
265213153042637 ~1981
2652161212172898 ~1983
265217953043597 ~1981
2652233159133998 ~1982
2652367265236718 ~1983
26525691007976239 ~1984
2652607424417138 ~1983
265271953054397 ~1981
26527193236317199
265291153058237 ~1981
2652997424479538 ~1983
2653111424497778 ~1983
Exp. Prime Factor Digits Year
2653333159199998 ~1982
2653499477629838 ~1984
26535491432916479 ~1985
265357153071437 ~1981
265358353071677 ~1981
26535911061436419 ~1984
26535912175944639
2653753636900738 ~1984
2653873159232398 ~1982
2653913636939138 ~1984
2653979477716238 ~1984
2653979636954978
2654083265408318 ~1983
2654161159249678 ~1982
2654237159254238 ~1982
2654297371601598 ~1983
26545935680829039 ~1986
2654671424747378 ~1983
2654803265480318 ~1983
265483153096637 ~1981
2654833159289998 ~1982
2654879477878238 ~1984
2654957159297438 ~1982
2654989637197378 ~1984
265499953099997 ~1981
Exp. Prime Factor Digits Year
26551391539980639 ~1985
2655173159310398 ~1982
265537153107437 ~1981
265543153108637 ~1981
265547953109597 ~1981
265562353112477 ~1981
2655701159342078 ~1982
2655797159347838 ~1982
2655853796755918 ~1984
2655881212470498 ~1983
2655911690536878 ~1984
26559431699803539 ~1985
2655973424955698 ~1983
2655973584314078
2656013371841838 ~1983
265607953121597 ~1981
26561631115588479 ~1984
2656363637527138 ~1984
2656387637532898 ~1984
2656391212511298 ~1983
2656441584417038 ~1984
265649953129997 ~1981
2656601212528098 ~1983
2656681425068978 ~1983
2656807265680718 ~1983
475
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26-04-05