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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
81674471470140479
81674831306797299 ~1987
81675172450255119 ~1988
8167541490052478 ~1986
8167543816754318 ~1987
8167559163351198 ~1985
8167673490060398 ~1986
8167823163356478 ~1985
81682871306925939 ~1987
8168411163368238 ~1985
8168437490106238 ~1986
8168683816868318 ~1987
81691035228225939 ~1989
81691433431040079 ~1988
8169157490149438 ~1986
8169191163383838 ~1985
8169277490156638 ~1986
8169431163388638 ~1985
81699011307184179 ~1987
8170139163402798 ~1985
8170571653645698 ~1986
81707931143911039 ~1987
81711311470803599 ~1987
8171231653698498 ~1986
8171459163429198 ~1985
Exp. Prime Factor Digits Year
8171459653716738
8171497490289838 ~1986
8171701490302078 ~1986
8171759163435198 ~1985
8171909653752738 ~1986
8172167653773378 ~1986
8172179215745525710 ~1990
8172491163449838 ~1985
8172683163453678 ~1985
8172919817291918 ~1987
8172991817299118 ~1987
8173079163461598 ~1985
8173079653846338
81732371307717939 ~1987
8173547653883778 ~1986
8173859163477198 ~1985
8173871163477438 ~1985
8173943163478878 ~1985
8174281490456878 ~1986
8174597653967778 ~1986
8174717653977378 ~1986
8174797209274803310 ~1990
8174893490493598 ~1986
8175029654002338 ~1986
8175059163501198 ~1985
Exp. Prime Factor Digits Year
8175337490520238 ~1986
8175731163514638 ~1985
8175743163514878 ~1985
8175857490551438 ~1986
8175857654068578
8175911163518238 ~1985
8175983163519678 ~1985
8176409654112738 ~1986
8176457654116578 ~1986
81769212453076319 ~1988
81769391962465379 ~1988
8176979163539598 ~1985
8176991654159298 ~1986
8177131817713118 ~1987
8177173490630398 ~1986
8177293490637598 ~1986
8177303163546078 ~1985
8177621654209698 ~1986
8177669654213538 ~1986
8177713490662798 ~1986
8177759163555198 ~1985
8177849654227938 ~1986
8178007817800718 ~1987
8178077654246178 ~1986
81782172453465119 ~1988
Exp. Prime Factor Digits Year
8178293490697598 ~1986
8178473490708398 ~1986
8178481490708878 ~1986
8178617490717038 ~1986
8178707654296578 ~1986
8178743163574878 ~1985
8178839654307138 ~1986
8178959163579198 ~1985
8178959654316738
8179019163580398 ~1985
8179103163582078 ~1985
8179201490752078 ~1986
8179343163586878 ~1985
8179403163588078 ~1985
8179511163590238 ~1985
8179631163592638 ~1985
81797513435495439 ~1988
81800411308806579 ~1987
81800411799609039
8180423163608478 ~1985
8180531163610638 ~1985
8180713490842798 ~1986
8180759163615198 ~1985
8180857490851438 ~1986
8181053490863198 ~1986
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25-07-08