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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
28561451571229038 ~1989
285621432856214319 ~1991
28562459571249198 ~1989
285631131713786799 ~1990
285632872285062979 ~1991
285637211713823279 ~1990
28564031571280638 ~1989
28564103571282078 ~1989
28564271571285438 ~1989
28564379571287598 ~1989
285648192856481919 ~1991
28566119571322398 ~1989
28566371571327438 ~1989
28566803571336078 ~1989
28567043571340878 ~1989
28567691571353838 ~1989
285681011714086079 ~1990
28568399571367998 ~1989
28568471571369438 ~1989
285698472856984719 ~1991
28569923571398478 ~1989
28570211571404238 ~1989
285703792285630339 ~1991
28570739571414798 ~1989
28571077954273971910 ~1995
Exponent Prime Factor Digits Year
28571591571431838 ~1989
28571663571433278 ~1989
28572191571443838 ~1989
28572539571450798 ~1989
28572623571452478 ~1989
28572983571459678 ~1989
28574531571490638 ~1989
285748512857485119 ~1991
28574999571499998 ~1989
28575863571517278 ~1989
28576343571526878 ~1989
28576403571528078 ~1989
285770232857702319 ~1991
28577039571540798 ~1989
285771131714626799 ~1990
28577639571552798 ~1989
28577651571553038 ~1989
285781634572506099 ~1991
285782171714693039 ~1990
285792171714753039 ~1990
28579679571593598 ~1989
285798011714788079 ~1990
28580063571601278 ~1989
28580231571604638 ~1989
285803592858035919 ~1991
Exponent Prime Factor Digits Year
28580771571615438 ~1989
28581011571620238 ~1989
28581911571638238 ~1989
28582643571652878 ~1989
28582711188645892710 ~1993
28582943571658878 ~1989
285830411714982479 ~1990
285839938575197919 ~1992
28584071571681438 ~1989
285842531715055199 ~1990
285844436860266339 ~1992
285845872286766979 ~1991
28584623571692478 ~1989
28585031571700638 ~1989
28585703571714078 ~1989
28585871571717438 ~1989
28586111571722238 ~1989
28586219571724398 ~1989
28586423571728478 ~1989
28586543571730878 ~1989
28586891571737838 ~1989
28587323571746478 ~1989
28587563571751278 ~1989
28588019571760398 ~1989
28588811571776238 ~1989
Exponent Prime Factor Digits Year
28589591571791838 ~1989
285901392859013919 ~1991
28590539571810798 ~1989
28590803503198132910 ~1994
28591571571831438 ~1989
28592411571848238 ~1989
285928032859280319 ~1991
28593179571863598 ~1989
28593431571868638 ~1989
28594103571882078 ~1989
28595291571905838 ~1989
28595639571912798 ~1989
28596299571925998 ~1989
285964612287716899 ~1991
28596731571934638 ~1989
28597031571940638 ~1989
28597511571950238 ~1989
28597703571954078 ~1989
28598123571962478 ~1989
28598159571963198 ~1989
28598183571963678 ~1989
28598519571970398 ~1989
285985971715915839 ~1990
28599299571985998 ~1989
28599479571989598 ~1989
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25-04-13