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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
5745697344741838 ~1985
5745731114914638 ~1984
5745893344753598 ~1985
57458931723767919
5745977804436798 ~1986
5746157459692578 ~1985
57462491379099779 ~1986
5746319114926398 ~1984
5746397344783838 ~1985
5746421344785278 ~1985
5746639574663918 ~1985
5746673804534238 ~1986
5746889459751138 ~1985
5747023919523698 ~1986
5747563574756318 ~1985
5747837344870238 ~1985
5748019574801918 ~1985
5748059114961198 ~1984
5748167459853378 ~1985
5748251114965038 ~1984
5748313344898798 ~1985
5748473344908398 ~1985
5748661344919678 ~1985
5748859574885918 ~1985
5748859120726039110
Exp. Prime Factor Digits Year
5748929459914338 ~1985
5748959114979198 ~1984
57489972644538639 ~1987
57496071494897839 ~1986
5749619459969538 ~1985
5749703114994078 ~1984
5749771919963378 ~1986
5749867574986718 ~1985
5749871114997438 ~1984
5749883114997678 ~1984
5750117565811512910 ~1990
5750263575026318 ~1985
5750351115007038 ~1984
5750561460044898 ~1985
5750603115012078 ~1984
5750617920098738 ~1986
5750933345055998 ~1985
5751059115021198 ~1984
5751329460106338 ~1985
5751349274914482310 ~1990
5751503115030078 ~1984
5751857345111438 ~1985
5751887460150978 ~1985
57519711035354799 ~1986
5752091115041838 ~1984
Exp. Prime Factor Digits Year
57521471035386479 ~1986
5752319115046398 ~1984
5752343115046878 ~1984
57525611265563439 ~1986
5752757345165438 ~1985
57531195062744739 ~1988
5753399460271938 ~1985
5753467575346718 ~1985
5753533345211998 ~1985
5753681460294498 ~1985
5753831115076638 ~1984
5753843115076878 ~1984
5754377345262638 ~1985
57544572301782819 ~1987
5754691406281184710 ~1990
5754817345289038 ~1985
5754863115097278 ~1984
57549974028497919 ~1988
5755019115100398 ~1984
5755207575520718 ~1985
5755811115116238 ~1984
57562093683973779 ~1987
5756213805869838 ~1986
5756341345380478 ~1985
5756501345390078 ~1985
Exp. Prime Factor Digits Year
5756843115136878 ~1984
5757071115141438 ~1984
5757263115145278 ~1984
5757539115150798 ~1984
57575391381809379
5757559575755918 ~1985
5757737345464238 ~1985
57578275182044319 ~1988
57579011727370319 ~1987
5758139115162798 ~1984
5758243921318898 ~1986
5758523115170478 ~1984
5758619115172398 ~1984
5758943115178878 ~1984
5759111115182238 ~1984
5759647575964718 ~1985
5759693345581598 ~1985
5759779575977918 ~1985
5759953345597198 ~1985
57599539215924819
5760101460808098 ~1985
5760259576025918 ~1985
5760431115208638 ~1984
5760437345626238 ~1985
57606314723717439 ~1988
736
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25-04-13