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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
352547970509597 ~1982
352549170509837 ~1982
3525497282039778 ~1984
352555170511037 ~1982
3525563844019782310 ~1990
352580370516077 ~1982
3525803846192738
3525961564153778 ~1984
352616370523277 ~1982
3526181282094498 ~1984
3526231564196978 ~1984
3526373211582398 ~1983
352661970532397 ~1982
3527327634918878 ~1984
352739970547997 ~1982
352741170548237 ~1982
3527639282211138 ~1984
3527723846653538 ~1985
3527761211665678 ~1983
3527761564441778
3527969493915678 ~1984
3528037160878487310 ~1988
3528127564500338 ~1984
352819170563837 ~1982
352825170565037 ~1982
Exp. Prime Factor Digits Year
3528271352827118 ~1984
3528311282264898 ~1984
3528341282267298 ~1984
352835970567197 ~1982
35283594234030819
3528521282281698 ~1984
35285631481996479 ~1985
3528647846875298 ~1985
352865970573197 ~1982
352874370574877 ~1982
352877970575597 ~1982
3528779282302338
3529241211754478 ~1983
3529247282339778 ~1984
3529259635266638 ~1984
352928370585677 ~1982
352945170589037 ~1982
3529657211779438 ~1983
352970370594077 ~1982
3529817282385378 ~1984
3530071353007118 ~1984
35302092471146319 ~1986
353023170604637 ~1982
3530453494263438 ~1984
35305072612575199 ~1986
Exp. Prime Factor Digits Year
353051970610397 ~1982
3530867282469378 ~1984
3531161282492898 ~1984
35311611977450179
3531193776862478 ~1985
35312932189401679 ~1986
353138370627677 ~1982
3531433211885998 ~1983
3531497211889838 ~1983
353162370632477 ~1982
3531677211900638 ~1983
353168370633677 ~1982
3531797211907838 ~1983
3531907635743278 ~1984
353201970640397 ~1982
353210370642077 ~1982
3532183565149298 ~1984
3532261777097438 ~1985
3532541282603298 ~1984
3532559282604738 ~1984
353261970652397 ~1982
353263170652637 ~1982
3532741211964478 ~1983
3532933565269298 ~1984
3532967282637378 ~1984
Exp. Prime Factor Digits Year
3533401565344178 ~1984
353342370668477 ~1982
353353170670637 ~1982
35335311978777379
3533533212011998 ~1983
3533549494696878 ~1984
3533581212014878 ~1983
3533627636052878 ~1984
35336931978868099 ~1986
3533813240299284110 ~1988
353396370679277 ~1982
3534043565446898 ~1984
3534121777506638 ~1985
3534173212050398 ~1983
3534281212056878 ~1983
35344073393030739 ~1986
35345471201745999 ~1985
3534667353466718 ~1984
3534673212080398 ~1983
353480370696077 ~1982
3534821212089278 ~1983
3534989282799138 ~1984
353504370700877 ~1982
3535067636312078 ~1984
3535117212107038 ~1983
550
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25-05-04