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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
12581977754918638 ~1988
12581993470566538310 ~1992
12582263251645278 ~1986
12582659251653198 ~1986
125827971006623779 ~1988
125829672013274739 ~1989
12583211251664238 ~1986
125833271258332719 ~1988
12583379251667598 ~1986
12583463251669278 ~1986
125835111006680899 ~1988
12583523251670478 ~1986
12583583251671678 ~1986
12583891113255019110 ~1990
12583979251679598 ~1986
12584219251684398 ~1986
12584531251690638 ~1986
12584633755077998 ~1988
12585061755103678 ~1988
12585493755129598 ~1988
125856793020562979 ~1989
12585731251714638 ~1986
12586019251720398 ~1986
125861991006895939 ~1988
125862431258624319 ~1988
Exponent Prime Factor Digits Year
12586523251730478 ~1986
12586571251731438 ~1986
125866192265591439 ~1989
125869971006959779 ~1988
12587111251742238 ~1986
12587219251744398 ~1986
12587303251746078 ~1986
12587521755251278 ~1988
12587843251756878 ~1986
12587903251758078 ~1986
12587951251759038 ~1986
12588239251764798 ~1986
12588311251766238 ~1986
12589261755355678 ~1988
125908192266347439 ~1989
12590951251819038 ~1986
12591431251828638 ~1986
12591479251829598 ~1986
12591503251830078 ~1986
12591563251831278 ~1986
125915833021979939 ~1989
12591977755518638 ~1988
12592403251848078 ~1986
125924571007396579 ~1988
12592889302229336110 ~1992
Exponent Prime Factor Digits Year
12592997755579838 ~1988
12593051251861038 ~1986
12593101755586078 ~1988
12593123251862478 ~1986
12593159251863198 ~1986
12593173755590398 ~1988
12593201755592078 ~1988
12593363251867278 ~1986
125939532770669679 ~1989
12594563251891278 ~1986
12594779251895598 ~1986
12594839251896798 ~1986
12595031251900638 ~1986
125952136801415039 ~1990
12595571251911438 ~1986
12595813755748798 ~1988
125959371007674979 ~1988
12596123251922478 ~1986
12596219251924398 ~1986
12596543251930878 ~1986
12596579251931598 ~1986
12596999251939998 ~1986
125974991259749919 ~1988
12597899251957998 ~1986
12597911251958238 ~1986
Exponent Prime Factor Digits Year
12597971251959438 ~1986
125981331763738639 ~1989
12598361312439352910 ~1992
12598403251968078 ~1986
12598739251974798 ~1986
12598823251976478 ~1986
12598979251979598 ~1986
12599221755953278 ~1988
125993091763903279 ~1989
12599399251987998 ~1986
12599459251989198 ~1986
12599579251991598 ~1986
12599843251996878 ~1986
12600023252000478 ~1986
12600359252007198 ~1986
12600443252008878 ~1986
126007011008056099 ~1988
12600719252014398 ~1986
12601031252020638 ~1986
12601271252025438 ~1986
126013271260132719 ~1988
126013572016217139 ~1989
12601559252031198 ~1986
126016632016266099 ~1989
12601943252038878 ~1986
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