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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
10158719203174398 ~1986
10158779203175598 ~1986
10158971203179438 ~1986
10158983203179678 ~1986
10158997609539838 ~1987
10159271812741698 ~1987
10159403203188078 ~1986
101597691422367679 ~1988
101608193251462099 ~1989
101608672641825439 ~1988
10160873609652398 ~1987
10161077812886178 ~1987
10161113609666798 ~1987
10161251203225038 ~1986
10161311203226238 ~1986
10161491203229838 ~1986
10161841609710478 ~1987
10162871203257438 ~1986
10162897609773838 ~1987
101629493048884719 ~1989
101630632642396399 ~1988
10163473609808398 ~1987
10163519203270398 ~1986
10163557609813438 ~1987
10163843203276878 ~1986
Exponent Prime Factor Digits Year
10164073609844398 ~1987
10164083203281678 ~1986
101646674879040179 ~1989
10164941609896478 ~1987
10165037813202978 ~1987
10165217609913038 ~1987
10165271203305438 ~1986
10165273609916398 ~1987
10165853609951198 ~1987
10165871203317438 ~1986
10166141609968478 ~1987
101661732236558079 ~1988
10166291203325838 ~1986
10166363203327278 ~1986
10166413609984798 ~1987
10167167813373378 ~1987
10167191203343838 ~1986
10167373610042398 ~1987
10167431203348638 ~1986
10167743203354878 ~1986
10167779203355598 ~1986
10167953610077198 ~1987
10168043203360878 ~1986
10168199203363998 ~1986
10168271203365438 ~1986
Exponent Prime Factor Digits Year
10168297610097838 ~1987
10168637610118238 ~1987
101686631016866319 ~1987
101688891423644479 ~1988
10168979203379598 ~1986
101692731423698239 ~1988
10169897610193838 ~1987
10169903203398078 ~1986
10170053610203198 ~1987
10170203203404078 ~1986
10170551203411038 ~1986
10170593610235598 ~1987
10171019203420398 ~1986
101711111017111119 ~1987
10171297610277838 ~1987
10171391203427838 ~1986
10171853610311198 ~1987
10171883203437678 ~1986
101720171627522739 ~1988
10172161610329678 ~1987
10172399203447998 ~1986
10172483203449678 ~1986
10172497610349838 ~1987
101727171424180399 ~1988
10172759203455198 ~1986
Exponent Prime Factor Digits Year
101728011943004991111 ~1993
10172843203456878 ~1986
10173203203464078 ~1986
10173491203469838 ~1986
101737271017372719 ~1987
10174037610442238 ~1987
101740792441778979 ~1988
101742472441819299 ~1988
101742771424398799 ~1988
10174433610465998 ~1987
101745371627925939 ~1988
10174799203495998 ~1986
101748111831465999 ~1988
10174817610489038 ~1987
10174919203498398 ~1986
10174981610498878 ~1987
10174991203499838 ~1986
10175183203503678 ~1986
10175189814015138 ~1987
101751891424526479
101752391831543039 ~1988
101755793256185299 ~1989
10175861610551678 ~1987
10176059203521198 ~1986
10176121610567278 ~1987
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