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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
7570733387621529710 ~1991
7570991151419838 ~1985
7571351151427038 ~1985
7571423151428478 ~1985
7571437454286238 ~1986
7571537605722978 ~1986
7571539757153918 ~1986
7571563757156318 ~1986
7571777454306638 ~1986
7571821454309278 ~1986
7572263151445278 ~1985
7572563151451278 ~1985
7572791151455838 ~1985
7572941454376478 ~1986
7573537454412238 ~1986
75735371211765939
7573591757359118 ~1986
7573679151473598 ~1985
7573691151473838 ~1985
7573883151477678 ~1985
7573921454435278 ~1986
7574111151482238 ~1985
75746174090293199 ~1988
7574717454483038 ~1986
7574807605984578 ~1986
Exp. Prime Factor Digits Year
7574999151499998 ~1985
7575059151501198 ~1985
7575077454504638 ~1986
7575311151506238 ~1985
7575371151507438 ~1985
7575637454538238 ~1986
75758031818192739 ~1987
7575923151518478 ~1985
7576057454563438 ~1986
7576091151521838 ~1985
7576199151523998 ~1985
7576619606129538 ~1986
7576691606135298 ~1986
7577177454630638 ~1986
7577491757749118 ~1986
7577657454659438 ~1986
7577677454660638 ~1986
7577701454662078 ~1986
7577831151556638 ~1985
7578479151569598 ~1985
75787211667318639 ~1987
7579163151583278 ~1985
7579357454761438 ~1986
75794411667477039 ~1987
7579471757947118 ~1986
Exp. Prime Factor Digits Year
7579513454770798 ~1986
7579571151591438 ~1985
7579697454781838 ~1986
7579703151594078 ~1985
7579937606394978 ~1986
7580123151602478 ~1985
7580359758035918 ~1986
7580483151609678 ~1985
7580561454833678 ~1986
7580711151614238 ~1985
7581037454862238 ~1986
75810437277801299 ~1989
75812891667883599 ~1987
7581461454887678 ~1986
7581599151631998 ~1985
7581611151632238 ~1985
7581683151633678 ~1985
7581733454903998 ~1986
7581839151636798 ~1985
7581911151638238 ~1985
7582511151650238 ~1985
7583227758322718 ~1986
7583507606680578 ~1986
75835393185086399 ~1988
7583657455019438 ~1986
Exp. Prime Factor Digits Year
7583711151674238 ~1985
7583753455025198 ~1986
7583837455030238 ~1986
7583879151677598 ~1985
7583977455038638 ~1986
75841631213466099 ~1987
75843733033749219 ~1988
75846134095691039 ~1988
7584749606779938 ~1986
7584757455085438 ~1986
7584851151697038 ~1985
7584901455094078 ~1986
7585139151702798 ~1985
7585163151703278 ~1985
75853731061952239 ~1987
7585463151709278 ~1985
7585597455135838 ~1986
75861193034447619 ~1988
7586171151723438 ~1985
7586191758619118 ~1986
7586231151724638 ~1985
75863111213809779 ~1987
7586483151729678 ~1985
7586531151730638 ~1985
7586543151730878 ~1985
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