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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.
Exp. Prime Factor Digits Year
2163919389505438 ~1983
216397143279437 ~1980
2163979216397918 ~1982
2164177519402498 ~1983
2164417129865038 ~1982
2164433129865998 ~1982
2164441129866478 ~1982
2164453129867198 ~1982
216451143290237 ~1981
216458343291677 ~1981
216461943292397 ~1981
2164739173179138 ~1982
2164787173182978 ~1982
2164807519553698 ~1983
2164979173198338 ~1982
216506343301277 ~1981
2165081173206498 ~1982
2165201173216098 ~1982
2165237129914238 ~1982
216529143305837 ~1981
2165393303155038 ~1983
216554343310877 ~1981
2165593476430478 ~1983
2165617129937038 ~1982
21657414461426479 ~1985
Exp. Prime Factor Digits Year
216577143315437 ~1981
2165843519802338 ~1983
216602343320477 ~1981
216611943322397 ~1981
2166127216612718 ~1982
2166221173297698 ~1982
2166511346641778 ~1983
21665332253194339 ~1985
2166919390045438 ~1983
216701943340397 ~1981
2167063520095138 ~1983
2167393130043598 ~1982
2167433130045998 ~1982
2167573130054398 ~1982
21675738973752239
2167609260113080110 ~1987
216770343354077 ~1981
21677031604100239
2167741130064478 ~1982
216788343357677 ~1981
2167889303504478 ~1983
2167889520293378
216805143361037 ~1981
216821943364397 ~1981
2168239216823918 ~1982
Exp. Prime Factor Digits Year
216829143365837 ~1981
2168303910687278 ~1984
216836343367277 ~1981
216839943367997 ~1981
21684292255166179 ~1985
2168437130106238 ~1982
2168567390342078 ~1983
21685671040912179
2168581130114878 ~1982
2168587520460898 ~1983
2168599737323678 ~1984
21685991561391299
21686511040952499 ~1984
2168659216865918 ~1982
216871143374237 ~1981
2168801173504098 ~1982
2168987390417678 ~1983
216920343384077 ~1981
2169203694144978
216931143386237 ~1981
2169457130167438 ~1982
2169499216949918 ~1982
2169509520682178 ~1983
2169509824413438
2169617130177038 ~1982
Exp. Prime Factor Digits Year
216968343393677 ~1981
21697572733893839 ~1985
2169799390563838 ~1983
2169821824531998 ~1984
2169877520770498 ~1983
2169967390594078 ~1983
2169997130199838 ~1982
2170039217003918 ~1982
217004343400877 ~1981
2170109173608738 ~1982
2170117130207038 ~1982
2170121173609698 ~1982
2170283694490578 ~1983
2170321130219278 ~1982
2170513347282098 ~1983
2170529303874078 ~1983
217058343411677 ~1981
2170603347296498 ~1983
2170673303894238 ~1983
2170681130240878 ~1982
2170757824887678 ~1984
2170813520995138 ~1983
2170813651243918
2170919694694098 ~1983
217100343420077 ~1981
420
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26-07-19