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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
43758779875175598 ~1991
43760939875218798 ~1991
43761131140035619310 ~1994
43761779875235598 ~1991
43762427245069591310 ~1994
437632972625797839 ~1992
437633237002131699 ~1993
43764863875297278 ~1991
43764911875298238 ~1991
43765697341372436710 ~1995
43765979875319598 ~1991
437665732625994399 ~1992
437694172626165039 ~1992
437698136127773839 ~1993
437703612626221679 ~1992
43771391875427838 ~1991
43773179875463598 ~1991
43773263875465278 ~1991
43773599875471998 ~1991
43773659875473198 ~1991
43773791875475838 ~1991
437750772626504639 ~1992
437762631926155572111 ~1996
43776443875528878 ~1991
43777451875549038 ~1991
Exponent Prime Factor Digits Year
437778893502231139 ~1992
437782376128953199 ~1993
43778639875572798 ~1991
437796612626779679 ~1992
43780031875600638 ~1991
43781123875622478 ~1991
43781219875624398 ~1991
43781819875636398 ~1991
43782671875653438 ~1991
437833034378330319 ~1992
43785323875706478 ~1991
437854572627127439 ~1992
43785551875711038 ~1991
437857932627147599 ~1992
43786511875730238 ~1991
43787603875752078 ~1991
437891539633613679 ~1993
43790399875807998 ~1991
43790471875809438 ~1991
43791023105098455310 ~1993
43792643875852878 ~1991
437930273503442179 ~1992
43793363875867278 ~1991
437948332627689999 ~1992
43798151875963038 ~1991
Exponent Prime Factor Digits Year
43798259875965198 ~1991
43799333525591996110 ~1995
43803359876067198 ~1991
43803587219017935110 ~1994
438056777008908339 ~1993
438059532628357199 ~1992
438064077885153279 ~1993
43806859105136461710 ~1993
43807451876149038 ~1991
43807919876158398 ~1991
43807931876158638 ~1991
43808291876165838 ~1991
438092477009479539 ~1993
43810631876212638 ~1991
43810859876217198 ~1991
43811483876229678 ~1991
43811617105147880910 ~1993
438136736133914239 ~1993
43814999876299998 ~1991
438151313505210499 ~1992
43815251876305038 ~1991
43815599876311998 ~1991
438155993505247939
438163517010616179 ~1993
438167572629005439 ~1992
Exponent Prime Factor Digits Year
438175673505405379 ~1992
43819649236626104710 ~1994
438198012629188079 ~1992
43820219876404398 ~1991
43820603876412078 ~1991
438224336135140639 ~1993
438249677888494079 ~1993
438256373506050979 ~1992
438269212629615279 ~1992
43828943105189463310 ~1993
43831943876638878 ~1991
43833203876664078 ~1991
43834859876697198 ~1991
43836431876728638 ~1991
43837331876746638 ~1991
438374812630248879 ~1992
43837691876753838 ~1991
43838363876767278 ~1991
438388132630328799 ~1992
43838831315639583310 ~1994
43839143876782878 ~1991
43840031876800638 ~1991
43840631876812638 ~1991
43840649166594466310 ~1994
43841111245510221710 ~1994
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