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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
111098834443953219 ~1989
11110133666607998 ~1987
11110199222203998 ~1986
11110223222204478 ~1986
111103991111039919 ~1988
11110439222208798 ~1986
11110441666626478 ~1987
11111053666663198 ~1987
11111099222221998 ~1986
11111173666670398 ~1987
11111677666700638 ~1987
11111833666709998 ~1987
11112011222240238 ~1986
111120194444807619 ~1989
11112161666729678 ~1987
11112317666739038 ~1987
11112371222247438 ~1986
111129433778400639 ~1989
11113031222260638 ~1986
11113777666826638 ~1987
11113813666828798 ~1987
11114123222282478 ~1986
11114533666871998 ~1987
11114711222294238 ~1986
11114759889180738 ~1988
Exponent Prime Factor Digits Year
11114783222295678 ~1986
111148698669597839 ~1990
11114963222299278 ~1986
11115011222300238 ~1986
11115017889201378 ~1988
111152533334575919 ~1989
11115479222309598 ~1986
11115683222313678 ~1986
11115719222314398 ~1986
11115803222316078 ~1986
11116139222322798 ~1986
11116361666981678 ~1987
11116571222331438 ~1986
11116961889356898 ~1988
111176636225891299 ~1990
11117699222353998 ~1986
11117893667073598 ~1987
111181396448520639 ~1990
11118143222362878 ~1986
11118251222365038 ~1986
11118521889481698 ~1988
11118533667111998 ~1987
11118797667127838 ~1987
11119021667141278 ~1987
11119103222382078 ~1986
Exponent Prime Factor Digits Year
11119319222386398 ~1986
11119817667189038 ~1987
11119859222397198 ~1986
11120171222403438 ~1986
11120591222411838 ~1986
11120597667235838 ~1987
11120777667246638 ~1987
11121083222421678 ~1986
11121217667273038 ~1987
11122393667343598 ~1987
11122451222449038 ~1986
11122561667353678 ~1987
111225614449024419
11122883222457678 ~1986
11123039222460798 ~1986
11123243222464878 ~1986
111235993782023679 ~1989
111237671112376719 ~1988
11123773667426398 ~1987
111241511112415119 ~1988
11124517667471038 ~1987
11124731222494638 ~1986
11124983222499678 ~1986
11125139890011138 ~1988
11125223222504478 ~1986
Exponent Prime Factor Digits Year
11125319222506398 ~1986
11125343222506878 ~1986
11125379222507598 ~1986
11125619222512398 ~1986
11125727890058178 ~1988
11125799222515998 ~1986
11126173667570398 ~1987
11126471222529438 ~1986
11126617667597038 ~1987
11127023222540478 ~1986
11127059222541198 ~1986
11127241667634478 ~1987
111273797121522579 ~1990
11127563222551278 ~1986
111275691557859679 ~1988
11127997667679838 ~1987
11128031222560638 ~1986
111282773338483119 ~1989
11128441667706478 ~1987
111284593783676079 ~1989
11128739222574798 ~1986
11128763222575278 ~1986
11128811222576238 ~1986
11129141890331298 ~1988
11129333667759998 ~1987
1135
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26-05-03