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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
5751059115021198 ~1984
5751329460106338 ~1985
5751349274914482310 ~1990
5751503115030078 ~1984
5751857345111438 ~1985
5751887460150978 ~1985
57519711035354799 ~1986
5752091115041838 ~1984
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
Exp. Prime Factor Digits Year
57549974028497919 ~1988
5755019115100398 ~1984
5755207575520718 ~1985
5755811115116238 ~1984
57562093683973779 ~1987
5756213805869838 ~1986
5756341345380478 ~1985
5756501345390078 ~1985
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
Exp. Prime Factor Digits Year
5759779575977918 ~1985
5759953345597198 ~1985
57599539215924819
5760101460808098 ~1985
5760259576025918 ~1985
5760431115208638 ~1984
5760437345626238 ~1985
57606314723717439 ~1988
5760767460861378 ~1985
5760803115216078 ~1984
5760817921730738 ~1986
57608771382610499 ~1986
5760899115217998 ~1984
5760983115219678 ~1984
5761043115220878 ~1984
5761081345664878 ~1985
5761193806567038 ~1986
5761271115225438 ~1984
5761331115226638 ~1984
57613871037049679 ~1986
5761439115228798 ~1984
5761499115229998 ~1984
5761559115231198 ~1984
5761919115238398 ~1984
5761927576192718 ~1985
Exp. Prime Factor Digits Year
57619932650516799 ~1987
5762027460962178 ~1985
5762041345722478 ~1985
5762219115244398 ~1984
5762723115254478 ~1984
5762831115256638 ~1984
5762863576286318 ~1985
5762917345775038 ~1985
5763011115260238 ~1984
5763071115261438 ~1984
5763143115262878 ~1984
57634811267965839 ~1986
5763557345813438 ~1985
57636471498548239 ~1987
5763683115273678 ~1984
5763817345829038 ~1985
5763839115276798 ~1984
5763893345833598 ~1985
5763917345835038 ~1985
5763959461116738 ~1985
5764063576406318 ~1985
5764091115281838 ~1984
5764117345847038 ~1985
5764259115285198 ~1984
5764303576430318 ~1985
751
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25-09-07