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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
10342259206845198 ~1986
10342439206848798 ~1986
103426033516485039 ~1989
10342691206853838 ~1986
10343519206870398 ~1986
10343561620613678 ~1987
10343653620619198 ~1987
103441994344563599 ~1989
103443071861975279 ~1988
10344311206886238 ~1986
10344479206889598 ~1986
10344671206893438 ~1986
10344791206895838 ~1986
10344877620692638 ~1987
10345151206903038 ~1986
103452974758836639 ~1989
10345319827625538 ~1987
10345343206906878 ~1986
10345457827636578 ~1987
10345501620730078 ~1987
103455011655280179
103458911034589119 ~1987
10345943206918878 ~1986
10346519206930398 ~1986
10346657620799438 ~1987
Exponent Prime Factor Digits Year
10347119206942398 ~1986
10347131206942638 ~1986
103475172483404099 ~1988
10347553620853198 ~1987
10347671206953438 ~1986
10347839206956798 ~1986
10347899206957998 ~1986
10348153620889198 ~1987
10348397620903838 ~1987
103485771448800799 ~1988
103485791034857919 ~1987
10348649827891938 ~1987
10349051206981038 ~1986
10349063206981278 ~1986
103491232690771999 ~1988
10349291206985838 ~1986
10349489163521926310 ~1990
103497071862947279 ~1988
10349819206996398 ~1986
10350181621010878 ~1987
10350251207005038 ~1986
10350443207008878 ~1986
103509974140398819 ~1989
10351199207023998 ~1986
10351259207025198 ~1986
Exponent Prime Factor Digits Year
10351337621080238 ~1987
10351457621087438 ~1987
10352033621121998 ~1987
10352141621128478 ~1987
10352141828171298
10352351207047038 ~1986
10352401621144078 ~1987
10352477621148638 ~1987
10352501621150078 ~1987
10352819207056398 ~1986
103528991863521839 ~1988
10352939207058798 ~1986
10352939828235138
10353383207067678 ~1986
10353817621229038 ~1987
10353947828315778 ~1987
10353997621239838 ~1987
103542611656681779 ~1988
10354657621279438 ~1987
10354859207097198 ~1986
103549732485193539 ~1988
10355473621328398 ~1987
10355641621338478 ~1987
103557911035579119 ~1987
10355843207116878 ~1986
Exponent Prime Factor Digits Year
10356239207124798 ~1986
10356551207131038 ~1986
103566311035663119 ~1987
10356701621402078 ~1987
10356803207136078 ~1986
10357283207145678 ~1986
10357331207146638 ~1986
10357619207152398 ~1986
10357703207154078 ~1986
10358171207163438 ~1986
10358213621492798 ~1987
10358497621509838 ~1987
10358567828685378 ~1987
103586512693249279 ~1988
10358951207179038 ~1986
10358963207179278 ~1986
10359143207182878 ~1986
10359277621556638 ~1987
103592771657484339
10359353621561198 ~1987
10359527828762178 ~1987
10359623207192478 ~1986
10359659207193198 ~1986
10359841621590478 ~1987
10360019207200398 ~1986
1044
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25-07-08