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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
7193591143871838 ~1984
7193789575503138 ~1986
7193899719389918 ~1986
7194251143885038 ~1984
7194269575541538 ~1986
7194563143891278 ~1984
7194739719473918 ~1986
7194877431692638 ~1986
7194959143899198 ~1984
7194973431698398 ~1986
7195217575617378 ~1986
7195313431718798 ~1986
7195679143913598 ~1984
7196261431775678 ~1986
7196291143925838 ~1984
7196521431791278 ~1986
7196753431805198 ~1986
7196951143939038 ~1984
7197023143940478 ~1984
7197139719713918 ~1986
7197313431838798 ~1986
7197419143948398 ~1984
7197803143956078 ~1984
7197863143957278 ~1984
7197923143958478 ~1984
Exp. Prime Factor Digits Year
71982671295688079 ~1987
7198343143966878 ~1984
7198571575885698 ~1986
7198691575895298 ~1986
7198693431921598 ~1986
7199051143981038 ~1984
7199063143981278 ~1984
71990633023606479
71992612303763539 ~1987
7199411143988238 ~1984
7199519143990398 ~1984
7200101432006078 ~1986
7200121432007278 ~1986
7200131144002638 ~1984
7200191144003838 ~1984
7200923144018478 ~1984
7201157576092578 ~1986
7201427576114178 ~1986
7201583144031678 ~1984
7201823144036478 ~1984
7201981432118878 ~1986
7202099144041998 ~1984
7202579144051598 ~1984
7202597576207778 ~1986
7202641432158478 ~1986
Exp. Prime Factor Digits Year
7202711144054238 ~1984
7202963144059278 ~1984
7202999144059998 ~1984
7203193432191598 ~1986
7203227576258178 ~1986
7203263144065278 ~1984
72032897347354799 ~1989
7203491144069838 ~1984
7203491576279298
7203697432221838 ~1986
7203743144074878 ~1984
7203881432232878 ~1986
72039792449352879 ~1988
7204061576324898 ~1986
7204133432247998 ~1986
7204201432252078 ~1986
7204271144085438 ~1984
7204273432256398 ~1986
7204391576351298 ~1986
72047771152764339 ~1987
7205171144103438 ~1984
7205183144103678 ~1984
72053471152855539 ~1987
7205461432327678 ~1986
72055331152885299 ~1987
Exp. Prime Factor Digits Year
72056411585241039 ~1987
72057531008805439 ~1987
7205771144115438 ~1984
7205843144116878 ~1984
7206191144123838 ~1984
7206197576495778 ~1986
7206203144124078 ~1984
72069772162093119 ~1987
7207037576562978 ~1986
7207181576574498 ~1986
7207331576586498 ~1986
7207619144152398 ~1984
7207661432459678 ~1986
7207757432465438 ~1986
7207883144157678 ~1984
7207919144158398 ~1984
7208317432499038 ~1986
7208711144174238 ~1984
72087171009220399 ~1987
7208759144175198 ~1984
7209259720925918 ~1986
72095331009334639 ~1987
7209539144190798 ~1985
7209551144191038 ~1985
7209757432585438 ~1986
820
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24-10-27