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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
288997211733983279 ~1990
28900139578002798 ~1989
28900439578008798 ~1989
289011534046161439 ~1991
28901231578024638 ~1989
28901531578030638 ~1989
28901591578031838 ~1989
289023731734142399 ~1990
28902563578051278 ~1989
28902851578057038 ~1989
28902899578057998 ~1989
28903103578062078 ~1989
28903223578064478 ~1989
28903631578072638 ~1989
28903991578079838 ~1989
28904831578096638 ~1989
28905059578101198 ~1989
28905179578103598 ~1989
28905599578111998 ~1989
28906259578125198 ~1989
28906463578129278 ~1989
289072392890723919 ~1991
28907663578153278 ~1989
28907831578156638 ~1989
28908421393154525710 ~1994
Exponent Prime Factor Digits Year
289084876938036899 ~1992
28908683578173678 ~1989
289087915203582399 ~1992
28909151578183038 ~1989
28909703578194078 ~1989
28909739578194798 ~1989
28910363578207278 ~1989
28910639578212798 ~1989
289106771734640639 ~1990
28910831578216638 ~1989
28911059578221198 ~1989
289111876938684899 ~1992
289117317517050079 ~1992
289118338673549919 ~1992
28912283578245678 ~1989
28913123578262478 ~1989
289131531734789199 ~1990
28913471578269438 ~1989
289137011734822079 ~1990
28913903578278078 ~1989
28914191578283838 ~1989
28914311578286238 ~1989
28914443578288878 ~1989
289146731734880399 ~1990
28914719578294398 ~1989
Exponent Prime Factor Digits Year
28914863578297278 ~1989
28915031578300638 ~1989
28915319578306398 ~1989
28915571578311438 ~1989
28915583578311678 ~1989
28916003578320078 ~1989
28916183578323678 ~1989
28916399578327998 ~1989
28916843578336878 ~1989
28916963578339278 ~1989
28917191578343838 ~1989
289171972313375779 ~1991
28917419578348398 ~1989
28917851578357038 ~1989
289185736940457539 ~1992
28918871578377438 ~1989
28919183578383678 ~1989
28919591578391838 ~1989
28919603578392078 ~1989
289202512313620099 ~1991
289202574048835999 ~1991
289203736940889539 ~1992
28920779578415598 ~1989
289211331735267999 ~1990
28921283578425678 ~1989
Exponent Prime Factor Digits Year
289221892313775139 ~1991
28922291578445838 ~1989
289226875206083679 ~1992
28923143578462878 ~1989
289231612313852899 ~1991
28923299578465998 ~1989
28923421133047736710 ~1993
28923803578476078 ~1989
289242776941826499 ~1992
289242971735457839 ~1990
28925159578503198 ~1989
28926011578520238 ~1989
28926539578530798 ~1989
28926899578537998 ~1989
28927187260344683110 ~1993
28927271578545438 ~1989
28927439578548798 ~1989
28927883578557678 ~1989
28929119578582398 ~1989
28929623578592478 ~1989
28930091578601838 ~1989
28930127399235752710 ~1994
28930259578605198 ~1989
28930463578609278 ~1989
28930631578612638 ~1989
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25-04-13