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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
42086123841722478 ~1991
42086939513460655910 ~1995
42087191841743838 ~1991
42087371841747438 ~1991
42088031841760638 ~1991
420886013367088099 ~1992
42088883841777678 ~1991
42089231841784638 ~1991
42089639841792798 ~1991
420901193367209539 ~1992
42091019841820398 ~1991
42091559841831198 ~1991
42091823841836478 ~1991
42092339841846798 ~1991
420928073367424579 ~1992
42093143841862878 ~1991
42093251841865038 ~1991
42093671841873438 ~1991
42093851841877038 ~1991
420948173367585379 ~1992
42095591841911838 ~1991
42096863841937278 ~1991
420971093367768739 ~1992
42097691841953838 ~1991
42098159841963198 ~1991
Exponent Prime Factor Digits Year
420983695893771679 ~1993
42098663841973278 ~1991
420989114209891119 ~1992
42098939841978798 ~1991
42099143841982878 ~1991
421020372526122239 ~1992
42102143842042878 ~1991
42102563842051278 ~1991
42103199842063998 ~1991
42103283842065678 ~1991
42105179842103598 ~1991
42106919842138398 ~1991
421071293368570339 ~1992
42108491842169838 ~1991
42108611842172238 ~1991
42109211842184238 ~1991
42109451842189038 ~1991
421103812526622879 ~1992
42110891842217838 ~1991
42111071842221438 ~1991
42111623842232478 ~1991
42113651842273038 ~1991
42114599842291998 ~1991
421150973369207779 ~1992
421153972526923839 ~1992
Exponent Prime Factor Digits Year
42116051842321038 ~1991
421162193369297539 ~1992
42116351842327038 ~1991
421169991592022562311 ~1996
421171073369368579 ~1992
42117539842350798 ~1991
42117791842355838 ~1991
42118871842377438 ~1991
42119351842387038 ~1991
42120623842412478 ~1991
42120877101090104910 ~1993
42121463842429278 ~1991
421231572527389439 ~1992
421238594212385919 ~1992
421241573369932579 ~1992
42124403842488078 ~1991
42124583842491678 ~1991
421258277582648879 ~1993
42127511842550238 ~1991
42127919842558398 ~1991
42127963168511852110 ~1994
421294972527769839 ~1992
42129803842596078 ~1991
42131399842627998 ~1991
42131657631974855110 ~1995
Exponent Prime Factor Digits Year
42132119842642398 ~1991
42132683842653678 ~1991
42134003842680078 ~1991
42134159842683198 ~1991
421351332528107999 ~1992
421353295898946079 ~1993
421373212528239279 ~1992
42137939842758798 ~1991
42138059842761198 ~1991
42138443842768878 ~1991
42139403842788078 ~1991
421410173371281379 ~1992
42141479842829598 ~1991
42142151842843038 ~1991
42142823842856478 ~1991
42142979842859598 ~1991
42143219842864398 ~1991
42143963842879278 ~1991
42144131842882638 ~1991
421451332528707999 ~1992
42145931842918638 ~1991
42147359842947198 ~1991
42148103842962078 ~1991
421486514214865119 ~1992
42149099842981998 ~1991
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25-07-08