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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
7893359631468738 ~1986
7893533473611998 ~1986
7893581473614878 ~1986
7893673473620398 ~1986
7893779157875598 ~1985
7894021473641278 ~1986
78941532368245919 ~1988
7894219789421918 ~1987
7894619631569538 ~1986
7894751157895038 ~1985
7894807789480718 ~1987
7894871157897438 ~1985
78949612368488319 ~1988
7895081473704878 ~1986
7895183157903678 ~1985
7895603157912078 ~1985
7895651631652098 ~1986
7895653473739198 ~1986
7895663157913278 ~1985
78956838843164979 ~1989
7895807631664578 ~1986
78959292368778719 ~1988
7896071157921438 ~1985
7896271789627118 ~1987
7896431157928638 ~1985
Exp. Prime Factor Digits Year
7896527631722178 ~1986
7896803157936078 ~1985
7897031157940638 ~1985
7897031631762498
7897321473839278 ~1986
7897397631791778 ~1986
7897453473847198 ~1986
7897601473856078 ~1986
7897619157952398 ~1985
7897633473857998 ~1986
7897667631813378 ~1986
7898221473893278 ~1986
78982911421692399 ~1987
7898339157966798 ~1985
7898603157972078 ~1985
7898981473938878 ~1986
78989932527677779 ~1988
78991271263860339 ~1987
7899319789931918 ~1987
78993191421877439
7899371157987438 ~1985
7899457473967438 ~1986
7899581473974878 ~1986
7899719631977538 ~1986
7900043158000878 ~1985
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
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25-04-13