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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
217313773424865015311 ~1995
21731519434630398 ~1988
21731579434631598 ~1988
217319232173192319 ~1990
217324971303949839 ~1989
217328832173288319 ~1990
21733333308613328710 ~1993
21733391434667838 ~1988
21733979434679598 ~1988
21734711434694238 ~1988
217348632173486319 ~1990
21735383434707678 ~1988
217360675216656099 ~1991
21736103434722078 ~1988
21736499434729998 ~1988
21736619434732398 ~1988
21737063434741278 ~1988
21737351434747038 ~1988
21737459434749198 ~1988
21737819434756398 ~1988
217378736956119379 ~1991
21738011434760238 ~1988
217381311739050499 ~1990
21738551434771038 ~1988
21738803434776078 ~1988
Exponent Prime Factor Digits Year
21739859434797198 ~1988
217398771739190179 ~1990
217403531304421199 ~1989
21740363434807278 ~1988
217405571304433439 ~1989
21740711434814238 ~1988
21740903434818078 ~1988
21740963434819278 ~1988
21741179434823598 ~1988
217415933043823039 ~1990
21741743434834878 ~1988
217418175218036099 ~1991
21741959434839198 ~1988
21742139434842798 ~1988
217424811304548879 ~1989
21742691434853838 ~1988
21743003434860078 ~1988
21743651434873038 ~1988
21743699434873998 ~1988
21743783434875678 ~1988
21744143434882878 ~1988
21744323434886478 ~1988
21744491434889838 ~1988
21744539434890798 ~1988
21744839434896798 ~1988
Exponent Prime Factor Digits Year
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
21752039435040798 ~1988
Exponent Prime Factor Digits Year
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
217589811305538879 ~1989
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25-06-08