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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
3312733198763998 ~1983
3312733530037298
3312737265018978 ~1983
3312941198776478 ~1983
3313067265045378 ~1983
3313067596352078
3313183331318318 ~1984
331331966266397 ~1982
3313573198814398 ~1983
3313697265095778 ~1983
33138231060423379 ~1985
3313837530213938 ~1984
3313879596498238 ~1984
331388366277677 ~1982
33139571524420239 ~1985
3314147265131778 ~1983
3314257198855438 ~1983
3314383530301298 ~1984
3314429464020078 ~1984
3314459265156738 ~1983
331447166289437 ~1982
331463966292797 ~1982
3314687795524898 ~1985
3314713198882798 ~1983
3314917530386738 ~1984
Exp. Prime Factor Digits Year
331496366299277 ~1982
3315007331500718 ~1984
3315031331503118 ~1984
3315031530404978
3315073198904398 ~1983
3315079331507918 ~1984
3315131265210498 ~1983
3315131596723598
3315271331527118 ~1984
3315337530453938 ~1984
3315421530467378 ~1984
3315461198927678 ~1983
331549166309837 ~1982
33156791392585199 ~1985
3315929265274338 ~1983
3316153729553678 ~1984
331625966325197 ~1982
3316267331626718 ~1984
3316267795904098
3316283862233598 ~1985
3316337265306978 ~1983
3316361198981678 ~1983
331640366328077 ~1982
331655966331197 ~1982
33165893382920799 ~1986
Exp. Prime Factor Digits Year
3316619265329538 ~1983
3316723331672318 ~1984
331682366336477 ~1982
3316967597054078 ~1984
3317233199033998 ~1983
33172391326895619 ~1985
331729166345837 ~1982
3317291265383298
3317507265400578 ~1983
331766366353277 ~1982
33178071857971939 ~1985
331801166360237 ~1982
3318109796346178 ~1985
331823966364797 ~1982
3318239796377378
3318377199102638 ~1983
331843166368637 ~1982
331871966374397 ~1982
33187934712686079 ~1986
3318929796542978 ~1985
3319067597432078 ~1984
3319157265532578 ~1983
3319619597531438 ~1984
33196212390127139 ~1986
331970366394077 ~1982
Exp. Prime Factor Digits Year
331976366395277 ~1982
3319781199186878 ~1983
3319807331980718 ~1984
331991966398397 ~1982
331993166398637 ~1982
3320189464826478 ~1984
3320197199211838 ~1983
3320201265616098 ~1983
33203113984373219 ~1986
3320341199220478 ~1983
3320357199221438 ~1983
332051966410397 ~1982
332059166411837 ~1982
3320623332062318 ~1984
332069966413997 ~1982
33207531859621699 ~1985
3320827332082718 ~1984
3320909464927278 ~1984
3321089265687138 ~1983
33211791062777299 ~1985
3321233199273998 ~1983
33214032723550479 ~1986
3321497199289838 ~1983
3321517199291038 ~1983
3321761199305678 ~1983
541
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25-11-17