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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
353023170604637 ~1982
3530453494263438 ~1984
35305072612575199 ~1986
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
35319074238288419
353201970640397 ~1982
353210370642077 ~1982
3532183565149298 ~1984
3532261777097438 ~1985
3532541282603298 ~1984
3532559282604738 ~1984
353261970652397 ~1982
Exp. Prime Factor Digits Year
353263170652637 ~1982
3532741211964478 ~1983
3532933565269298 ~1984
3532967282637378 ~1984
3533401565344178 ~1984
353342370668477 ~1982
353353170670637 ~1982
35335311978777379
3533533212011998 ~1983
3533549494696878 ~1984
35335731060071919 ~1985
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
Exp. Prime Factor Digits Year
3534821212089278 ~1983
3534989282799138 ~1984
353504370700877 ~1982
3535067636312078 ~1984
3535117212107038 ~1983
3535289282823138 ~1984
353531970706397 ~1982
3535607282848578 ~1984
3535663353566318 ~1984
3535663565706098
3535733161229424910 ~1988
3535751636435198 ~1984
35357511485015439
3535793495011038 ~1984
3535817212149038 ~1983
3535877212152638 ~1983
3535927353592718 ~1984
3536041565766578 ~1984
3536101212166078 ~1983
353617170723437 ~1982
35361711485191839
3536219282897538 ~1984
353647170729437 ~1982
3536513495111838 ~1984
3536633212197998 ~1983
Exp. Prime Factor Digits Year
3536693212201598 ~1983
353669970733997 ~1982
3536789282943138 ~1984
35367892758695439
35369578983870799 ~1987
3536959353695918 ~1984
3537031353703118 ~1984
3537047127333692110 ~1988
3537113212226798 ~1983
3537113495195838
3537161212229678 ~1983
353717970743597 ~1982
3537293495221038 ~1984
3537337212240238 ~1983
3537673212260398 ~1983
3537871353787118 ~1984
3537907566065138 ~1984
353795970759197 ~1982
353810370762077 ~1982
3538217212293038 ~1983
3538217283057378
3538559283084738 ~1984
3538627636952878 ~1984
3538673495414238 ~1984
353876370775277 ~1982
559
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25-09-07