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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
7900103158002078 ~1985
7900231790023118 ~1987
7900283158005678 ~1985
7900547632043778 ~1986
7900793474047598 ~1986
7900883158017678 ~1985
7901197474071838 ~1986
7901291158025838 ~1985
79014071422253279 ~1987
7901477632118178 ~1986
7901563790156318 ~1987
7901899790189918 ~1987
7902061474123678 ~1986
7902269632181538 ~1986
7902287632182978 ~1986
7902359632188738 ~1986
7902599158051998 ~1985
7903151158063038 ~1985
7903319158066398 ~1985
79033191422597439
7903801474228078 ~1986
7904297474257838 ~1986
79042971106601599
7904333474259998 ~1986
7904381632350498 ~1986
Exp. Prime Factor Digits Year
7904581474274878 ~1986
79049931106699039 ~1987
79051376166006879 ~1989
7905553474333198 ~1986
7905563158111278 ~1985
7905967164444113710 ~1990
79062531106875439 ~1987
7906571158131438 ~1985
7906901632552098 ~1986
79070471265127539 ~1987
7907297474437838 ~1986
7907351158147038 ~1985
7907353474441198 ~1986
7907639158152798 ~1985
79078131107093839 ~1987
7908083158161678 ~1985
79080835851981439
7908143158162878 ~1985
7908371158167438 ~1985
7908371632669698
7908413474504798 ~1986
7908697474521838 ~1986
79087633163505219 ~1988
7908899158177998 ~1985
7909159790915918 ~1987
Exp. Prime Factor Digits Year
7909277474556638 ~1986
7909277632742178
7909439158188798 ~1985
7909523158190478 ~1985
7909633474577998 ~1986
7909859158197198 ~1985
79098731265579699 ~1987
7910411158208238 ~1985
7911047632883778 ~1986
7911539158230798 ~1985
7911803158236078 ~1985
7911899158237998 ~1985
79119891107678479 ~1987
7912013474720798 ~1986
79120672057137439 ~1988
7912199632975938 ~1986
79122174430841539 ~1988
79122371265957939 ~1987
7912319158246398 ~1985
7912351791235118 ~1987
7912511633000898 ~1986
7912517633001378 ~1986
7912739158254798 ~1985
79128131899075139 ~1987
7912889633031138 ~1986
Exp. Prime Factor Digits Year
7913093474785598 ~1986
7913117474787038 ~1986
7913117633049378
7913159158263198 ~1985
7913237633058978 ~1986
79134291899222979 ~1987
79135271266164339 ~1987
7913833474829998 ~1986
7913981633118498 ~1986
7914253474855198 ~1986
7914359158287198 ~1985
7914551158291038 ~1985
7914899158297998 ~1985
7915079158301598 ~1985
7915099791509918 ~1987
7915801474948078 ~1986
7916057633284578 ~1986
7916081633286498 ~1986
79161313799742899 ~1988
7916459158329198 ~1985
7916551791655118 ~1987
7916591158331838 ~1985
7916879158337598 ~1985
7916963158339278 ~1985
7917011158340238 ~1985
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