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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
21744839434896798 ~1988
21745019434900398 ~1988
217457691739661539 ~1990
21746243434924878 ~1988
217462992174629919 ~1990
21746303434926078 ~1988
21746423434928478 ~1988
21746771434935438 ~1988
217469575219269699 ~1991
217469991739759939 ~1990
21747359434947198 ~1988
21747787126137164710 ~1992
21748631434972638 ~1988
217491531304949199 ~1989
217492011304952079 ~1989
21749219434984398 ~1988
217497291739978339 ~1990
21749831434996638 ~1988
21749999434999998 ~1988
21750863435017278 ~1988
21750923435018478 ~1988
21751139435022798 ~1988
21751391435027838 ~1988
21751799435035998 ~1988
217519911740159299 ~1990
Exponent Prime Factor Digits Year
21752039435040798 ~1988
21752303435046078 ~1988
21752831435056638 ~1988
217528811305172879 ~1989
21753419435068398 ~1988
217536291740290339 ~1990
21753731435074638 ~1988
217537371305224239 ~1989
21753839435076798 ~1988
217538391740307139
217540971740327779 ~1990
217548411740387299 ~1990
21755819435116398 ~1988
217558191740465539
21756239435124798 ~1988
21756431435128638 ~1988
21756503435130078 ~1988
21756803435136078 ~1988
21757199435143998 ~1988
21757283435145678 ~1988
21757343435146878 ~1988
217577091740616739 ~1990
217579512175795119 ~1990
217585872175858719 ~1990
21758651435173038 ~1988
Exponent Prime Factor Digits Year
217589811305538879 ~1989
21759011435180238 ~1988
21759131435182638 ~1988
21759431435188638 ~1988
21760163435203278 ~1988
21760223435204478 ~1988
21760379435207598 ~1988
21760559435211198 ~1988
217605971305635839 ~1989
217609931305659599 ~1989
21761219435224398 ~1988
217614371305686239 ~1989
217615273917074879 ~1991
21761543435230878 ~1988
21761699435233998 ~1988
21761837187151798310 ~1992
21762131435242638 ~1988
217623111740984899 ~1990
217624371305746239 ~1989
21762599226331029710 ~1993
21762659435253198 ~1988
217626611305759679 ~1989
217633272176332719 ~1990
21763583435271678 ~1988
21763691435273838 ~1988
Exponent Prime Factor Digits Year
217638011305828079 ~1989
21763883435277678 ~1988
217642873917571679 ~1991
217644673482314739 ~1991
21764651435293038 ~1988
21764663435293278 ~1988
21765479435309598 ~1988
21765743435314878 ~1988
21765851435317038 ~1988
21766259435325198 ~1988
217665971305995839 ~1989
21767171435343438 ~1988
217673771306042639 ~1989
21767411435348238 ~1988
217674111741392899
217677171306063039 ~1989
21768179435363598 ~1988
21768203435364078 ~1988
21768431435368638 ~1988
21768611435372238 ~1988
21769151435383038 ~1988
217695411741563299 ~1990
217697576530927119 ~1991
21769823435396478 ~1988
21769931435398638 ~1988
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