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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
548522835485228319 ~1993
548524395485243919 ~1993
548536614388292899 ~1993
548536938776590899 ~1994
548547111097094239 ~1991
548552631097105279 ~1991
548556111097112239 ~1991
54855953833810485710 ~1996
548564631097129279 ~1991
548571711097143439 ~1991
54857401427887727910 ~1995
548588511097177039 ~1991
548589711097179439 ~1991
548591574388732579 ~1993
548610435486104319 ~1993
548635515486355119 ~1993
548644791097289599 ~1991
54865609120704339910 ~1994
548656311097312639 ~1991
548687991097375999 ~1991
548721591097443199 ~1991
548726631097453279 ~1991
548730111097460239 ~1991
548738031097476079 ~1991
548740911097481839 ~1991
Exponent Prime Factor Digits Year
548741031097482079 ~1991
548751297682518079 ~1993
548757195487571919 ~1993
548767791097535599 ~1991
548774991097549999 ~1991
548786391097572799 ~1991
548796591097593199 ~1991
548815911097631839 ~1991
548819991097639999 ~1991
548841111097682239 ~1991
548851911097703839 ~1991
548857311097714639 ~1991
548858213293149279 ~1993
548863933293183599 ~1993
548864391097728799 ~1991
548877111097754239 ~1991
548878311097756639 ~1991
548887191097774399 ~1991
548890311097780639 ~1991
548897391097794799 ~1991
548911431097822879 ~1991
548913111097826239 ~1991
548927631097855279 ~1991
548943413293660479 ~1993
548946591097893199 ~1991
Exponent Prime Factor Digits Year
548967711097935439 ~1991
548986431097972879 ~1991
548988591097977199 ~1991
548999511097999039 ~1991
549003831098007679 ~1991
549004911098009839 ~1991
549010191098020399 ~1991
549026511098053039 ~1991
549057018784912179 ~1994
549064791098129599 ~1991
549083631098167279 ~1991
549088911098177839 ~1991
549092879883671679 ~1994
549096111098192239 ~1991
549103333294619999 ~1993
549103791098207599 ~1991
549107533294645199 ~1993
549113031098226079 ~1991
549135831098271679 ~1991
549138231098276479 ~1991
549143994393151939 ~1993
549163613294981679 ~1993
549173391098346799 ~1991
549179631098359279 ~1991
549183711098367439 ~1991
Exponent Prime Factor Digits Year
549192231098384479 ~1991
54919807977572564710 ~1996
549211995492119919 ~1993
549237831098475679 ~1991
549253374394026979 ~1993
549258231098516479 ~1991
549265613295593679 ~1993
549283374394266979 ~1993
549291831098583679 ~1991
54930181219720724110 ~1995
549303533295821199 ~1993
549308994394471939 ~1993
549310911098621839 ~1991
549317631098635279 ~1991
54932659230717167910 ~1995
549345591098691199 ~1991
549354111098708239 ~1991
54937481263699908910 ~1995
549410391098820799 ~1991
549423831098847679 ~1991
549444711098889439 ~1991
549448395494483919 ~1993
549452511098905039 ~1991
549457911098915839 ~1991
549458813296752879 ~1993
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4.724.182 digits
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25-04-13