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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
5053889404311138 ~1985
5054053303243198 ~1985
50542671314109439 ~1986
5054351404348098 ~1985
5054417404353378 ~1985
50544312931569999 ~1987
5054531101090638 ~1983
5054639101092798 ~1983
5054677303280638 ~1985
5054713303282798 ~1985
50549893235192979 ~1987
5055023101100478 ~1983
5055053303303198 ~1985
5055059101101198 ~1983
5055107404408578 ~1985
5055191101103838 ~1983
5055359404428738 ~1985
5055551101111038 ~1983
5055623101112478 ~1983
50556671213360099 ~1986
5055923101118478 ~1983
5056217404497378 ~1985
5056397346868834310 ~1990
5056567809050738 ~1986
5056577404526178 ~1985
Exp. Prime Factor Digits Year
5056577707920798
5056697404535778 ~1985
5056739101134798 ~1983
5056823101136478 ~1983
5056979101139598 ~1983
5057099101141998 ~1983
5057471101149438 ~1983
5057639101152798 ~1983
5057797303467838 ~1985
5057851505785118 ~1985
5057963101159278 ~1983
5058023101160478 ~1983
5058083101161678 ~1983
5058329404666338 ~1985
5058491101169838 ~1983
5058511910531998 ~1986
5058569404685538 ~1985
5058631505863118 ~1985
50587211112918639 ~1986
5058881303532878 ~1985
5058917303535038 ~1985
5059283101185678 ~1983
5059291505929118 ~1985
5059507505950718 ~1985
5059679101193598 ~1983
Exp. Prime Factor Digits Year
5059679404774338
50596793744162479
5059919404793538 ~1985
5059937404794978 ~1985
5059961303597678 ~1985
5059979101199598 ~1983
5060171101203438 ~1983
5060431506043118 ~1985
5060591101211838 ~1983
50606091214546179 ~1986
5060771101215438 ~1983
5060791506079118 ~1985
5061031506103118 ~1985
5061107404888578 ~1985
5061263101225278 ~1983
5061493303689598 ~1985
5061599101231998 ~1983
5061827404946178 ~1985
5062091101241838 ~1983
5062163101243278 ~1983
5062237303734238 ~1985
50626217188921839 ~1988
5062633303757998 ~1985
50626611518798319 ~1986
5062697405015778 ~1985
Exp. Prime Factor Digits Year
5062859101257198 ~1983
5063033303781998 ~1985
5063039101260798 ~1983
5063111101262238 ~1983
50631412430307699 ~1987
50633893240568979 ~1987
5063431911417598 ~1986
5063489405079138 ~1985
5063843101276878 ~1983
5063879101277598 ~1983
50640433342268399 ~1987
5064167405133378 ~1985
50642631316708399 ~1986
50642632532131519
5064341303860478 ~1985
5064373810299698 ~1986
5064539101290798 ~1983
5064551101291038 ~1983
5064599101291998 ~1983
5064601303876078 ~1985
5064629405170338 ~1985
5064713303882798 ~1985
5064727506472718 ~1985
5064881405190498 ~1985
5065019101300398 ~1983
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