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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
24021659480433198 ~1989
24021743480434878 ~1989
24022151480443038 ~1989
24022703480454078 ~1989
240227691921821539 ~1990
24023029187379626310 ~1993
24023423480468478 ~1989
24023459480469198 ~1989
240238875765732899 ~1991
24024419480488398 ~1989
240245899609835619 ~1992
24025679480513598 ~1989
24026339480526798 ~1989
24026531480530638 ~1989
240271731441630399 ~1990
24027431480548638 ~1989
240282891922263139 ~1990
24028391480567838 ~1989
240284713844555379 ~1991
24028523480570478 ~1989
24028619480572398 ~1989
240286916247459679 ~1991
240288531441731199 ~1990
24029003480580078 ~1989
24029171480583438 ~1989
Exponent Prime Factor Digits Year
240291711922333699
24030179480603598 ~1989
24030563288366756110 ~1993
240307011441842079 ~1990
240311271922490179 ~1990
24031151480623038 ~1989
24031919480638398 ~1989
24032219480644398 ~1989
24032303480646078 ~1989
240327731441966399 ~1990
24033599480671998 ~1989
24033731480674638 ~1989
24035003480700078 ~1989
240350171442101039 ~1990
24035279480705598 ~1989
240356232403562319 ~1990
24035723480714478 ~1989
240357771922862179 ~1990
24035783480715678 ~1989
240360373845765939 ~1991
24036179480723598 ~1989
240362171442173039 ~1990
24036251480725038 ~1989
240365331442191999 ~1990
240365832994...9694077236e3 2004
Exponent Prime Factor Digits Year
240366295768790979 ~1991
24036839480736798 ~1989
24037151480743038 ~1989
240374712403747119 ~1990
240376819615072419 ~1992
24037763480755278 ~1989
24038039480760798 ~1989
24038351480767038 ~1989
24038471480769438 ~1989
24038639480772798 ~1989
24038699480773998 ~1989
24038711480774238 ~1989
24038939480778798 ~1989
24038951480779038 ~1989
24039143480782878 ~1989
240394731442368399 ~1990
24039803480796078 ~1989
24040259480805198 ~1989
24040319480806398 ~1989
24040619480812398 ~1989
24040631480812638 ~1989
24041219480824398 ~1989
240413171442479039 ~1990
24041351480827038 ~1989
240417111923336899 ~1990
Exponent Prime Factor Digits Year
240420711923365699 ~1990
240421211442527279 ~1990
24042911480858238 ~1989
24043163480863278 ~1989
24043583480871678 ~1989
24043919480878398 ~1989
24044099480881998 ~1989
24044231480884638 ~1989
24044939480898798 ~1989
24044963480899278 ~1989
240459971442759839 ~1990
24046943480938878 ~1989
24047183480943678 ~1989
240480073847681139 ~1991
24048071480961438 ~1989
240481731442890399 ~1990
240482931442897599 ~1990
24048539480970798 ~1989
24049043480980878 ~1989
24049139480982798 ~1989
24049199480983998 ~1989
240494693366925679 ~1991
240498411923987299 ~1990
240502272405022719 ~1990
24050891481017838 ~1989
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26-05-03