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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
3304123330412318 ~1984
33041295286606419 ~1987
33041512378988739 ~1986
3304219594759438 ~1984
330431966086397 ~1982
330440366088077 ~1982
330464366092877 ~1982
330475166095037 ~1982
3304913198294798 ~1983
3305017198301038 ~1983
330517166103437 ~1982
33052571520418239 ~1985
330527966105597 ~1982
330530366106077 ~1982
3305581198334878 ~1983
330569966113997 ~1982
330575966115197 ~1982
3305851595053198 ~1984
330605966121197 ~1982
3306137198368238 ~1983
33061515554333699 ~1987
330623966124797 ~1982
3306467595164078 ~1984
330665966133197 ~1982
3306679330667918 ~1984
Exp. Prime Factor Digits Year
3306847330684718 ~1984
330691166138237 ~1982
33069132314839119 ~1986
3306977198418638 ~1983
3307141727571038 ~1984
3307201992160318 ~1985
330721166144237 ~1982
3307327595318878 ~1984
33073277937584819
330737966147597 ~1982
330743966148797 ~1982
330752366150477 ~1982
3307567330756718 ~1984
330763166152637 ~1982
33076633175356499 ~1986
3307831529252978 ~1984
3307939330793918 ~1984
3308027595444878 ~1984
3308161198489678 ~1983
3308273198496398 ~1983
330830366166077 ~1982
3308381198502878 ~1983
3308509992552718 ~1985
3308653198519198 ~1983
330866366173277 ~1982
Exp. Prime Factor Digits Year
3308867264709378 ~1983
3308917198535038 ~1983
3308939264715138 ~1983
3308957264716578 ~1983
33089892316292319 ~1986
3309037794168898 ~1985
3309413198564798 ~1983
3309541198572478 ~1983
3309703529552498 ~1984
3309991529598578 ~1984
3310201198612078 ~1983
3310663331066318 ~1984
3310799264863938 ~1983
3310861529737778 ~1984
3311051264884098 ~1983
3311219264897538 ~1983
331141166228237 ~1982
331157966231597 ~1982
33119831126074239 ~1985
3312097198725838 ~1983
3312217198733038 ~1983
331250366250077 ~1982
3312601198756078 ~1983
331262366252477 ~1982
3312697198761838 ~1983
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
548
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26-04-05