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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.
Exponent Prime Factor Digits Year
27485543549710878 ~1989
27485819549716398 ~1989
27486071549721438 ~1989
27487643549752878 ~1989
27489179549783598 ~1989
27489251549785038 ~1989
27489743549794878 ~1989
27489911549798238 ~1989
27491591549831838 ~1989
27491759549835198 ~1989
27491963549839278 ~1989
274925112749251119 ~1991
27493283549865678 ~1989
27493391549867838 ~1989
27494279549885598 ~1989
274943531649661199 ~1990
274951011649706079 ~1990
27495599549911998 ~1989
27496019549920398 ~1989
27496223549924478 ~1989
27496499549929998 ~1989
27496919549938398 ~1989
27497699549953998 ~1989
274981811649890879 ~1990
274987011649922079 ~1990
Exponent Prime Factor Digits Year
27498791549975838 ~1989
27499019549980398 ~1989
27499211549984238 ~1989
27499679549993598 ~1989
27500303550006078 ~1989
27500783550015678 ~1989
275014372200114979 ~1991
27502439550048798 ~1989
27502463550049278 ~1989
27502511550050238 ~1989
27502619550052398 ~1989
27503123550062478 ~1989
27503219550064398 ~1989
27503303550066078 ~1989
27504311550086238 ~1989
27504923550098478 ~1989
275051472750514719 ~1991
27505799550115998 ~1989
27505871550117438 ~1989
27506411550128238 ~1989
275064112200512899
27507911550158238 ~1989
27507971550159438 ~1989
27508571550171438 ~1989
275086931650521599 ~1990
Exponent Prime Factor Digits Year
27509039550180798 ~1989
275090392200723139
27509939550198798 ~1989
27510491550209838 ~1989
27510611550212238 ~1989
27511223550224478 ~1989
27511283550225678 ~1989
27511391550227838 ~1989
27511751550235038 ~1989
27511871550237438 ~1989
27512063550241278 ~1989
27512483550249678 ~1989
27513119550262398 ~1989
27513203550264078 ~1989
27513443550268878 ~1989
275146371650878239 ~1990
27515219550304398 ~1989
275152636603663139 ~1992
27515759550315198 ~1989
27515903550318078 ~1989
27515951550319038 ~1989
27516011550320238 ~1989
27516179550323598 ~1989
27516539550330798 ~1989
275167392751673919 ~1991
Exponent Prime Factor Digits Year
27516851550337038 ~1989
275169131651014799 ~1990
27517163550343278 ~1989
27517403550348078 ~1989
27517559550351198 ~1989
27517631550352638 ~1989
27517811550356238 ~1989
27517859550357198 ~1989
27518531550370638 ~1989
27519491550389838 ~1989
27519949242175551310 ~1993
275202011651212079 ~1990
27520319550406398 ~1989
27520763550415278 ~1989
27521579550431598 ~1989
27522251550445038 ~1989
27522263550445278 ~1989
27522359550447198 ~1989
27522701154127125710 ~1993
27523091550461838 ~1989
27523211550464238 ~1989
27523439550468798 ~1989
27523511550470238 ~1989
27523823550476478 ~1989
275239331651435999 ~1990
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25-05-04