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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
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
3536693212201598 ~1983
353669970733997 ~1982
3536789282943138 ~1984
35367892758695439
35369578983870799 ~1987
Exp. Prime Factor Digits Year
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
3538891353889118 ~1984
3538933212335998 ~1983
3539297212357838 ~1983
353957970791597 ~1982
353963970792797 ~1982
Exp. Prime Factor Digits Year
3539777283182178 ~1984
353983170796637 ~1982
3539849283187938 ~1984
3539897495585598 ~1984
3540077495610798 ~1984
3540139354013918 ~1984
35402591486908799 ~1985
354059970811997 ~1982
3540619354061918 ~1984
35407872266103699 ~1986
3540917283273378 ~1984
354119970823997 ~1982
35411991487303599
3541229849894978 ~1985
354125970825197 ~1982
3541453212487198 ~1983
3541541283323298 ~1984
3541547920802238 ~1985
354169170833837 ~1982
3541753566680498 ~1984
3541757283340578 ~1984
3541787637521678 ~1984
354188370837677 ~1982
3541907283352578 ~1984
3541919637545438 ~1984
Exp. Prime Factor Digits Year
3542093495893038 ~1984
3542293212537598 ~1983
3542717212563038 ~1983
3542717495980398
3542761212565678 ~1983
354277170855437 ~1982
3542771921120478
3542923354292318 ~1984
3542939637729038 ~1984
354320370864077 ~1982
3543257212595438 ~1983
3543301212598078 ~1983
354335970867197 ~1982
3543389850413378 ~1985
354379170875837 ~1982
3543791921385678
3543919354391918 ~1984
35439591488462799 ~1985
354404370880877 ~1982
3544111637939998 ~1984
3544531567124978 ~1984
354464370892877 ~1982
35446691914121279 ~1986
354488370897677 ~1982
35450638295447439 ~1987
551
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25-05-04