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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
8162051163241038 ~1985
8162111163242238 ~1985
8162123163242478 ~1985
8162411163248238 ~1985
8162603163252078 ~1985
8162629370583356710 ~1991
81626534407832639 ~1988
81627472122314239 ~1988
8162773489766398 ~1986
8162831163256638 ~1985
8163191163263838 ~1985
8163487816348718 ~1987
8163503163270078 ~1985
8163641489818478 ~1986
81637093265483619 ~1988
8163821653105698 ~1986
8163971163279438 ~1985
8164451163289038 ~1985
8164477489868638 ~1986
8164619163292398 ~1985
8164841489890478 ~1986
8165093489905598 ~1986
8165351163307038 ~1985
81653934409312239 ~1988
81655271959726499 ~1988
Exp. Prime Factor Digits Year
8165761489945678 ~1986
8165903163318078 ~1985
8165939163318798 ~1985
81660191469883439 ~1987
8166071163321438 ~1985
8166077653286178 ~1986
81664071469953279 ~1987
8166757313603468910 ~1991
8166923163338478 ~1985
8167079163341598 ~1985
8167337653386978 ~1986
8167447816744718 ~1987
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
Exp. Prime Factor Digits Year
81691433431040079 ~1988
8169157490149438 ~1986
8169191163383838 ~1985
8169277490156638 ~1986
8169431163388638 ~1985
81699011307184179 ~1987
8170139163402798 ~1985
8170571653645698 ~1986
81707931143911039 ~1987
81711311470803599 ~1987
8171231653698498 ~1986
8171459163429198 ~1985
8171459653716738
8171497490289838 ~1986
8171701490302078 ~1986
8171759163435198 ~1985
8171909653752738 ~1986
8172167653773378 ~1986
8172179215745525710 ~1990
8172491163449838 ~1985
8172683163453678 ~1985
8172919817291918 ~1987
8172991817299118 ~1987
8173079163461598 ~1985
8173079653846338
Exp. Prime Factor Digits Year
81732371307717939 ~1987
81734991961639779 ~1988
8173547653883778 ~1986
8173859163477198 ~1985
8173871163477438 ~1985
8173943163478878 ~1985
8174281490456878 ~1986
8174597653967778 ~1986
8174717653977378 ~1986
8174797209274803310 ~1990
8174893490493598 ~1986
8175029654002338 ~1986
8175059163501198 ~1985
8175337490520238 ~1986
8175731163514638 ~1985
8175743163514878 ~1985
8175857490551438 ~1986
8175857654068578
8175911163518238 ~1985
8175983163519678 ~1985
8176409654112738 ~1986
8176457654116578 ~1986
81769212453076319 ~1988
81769391962465379 ~1988
8176979163539598 ~1985
931
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25-11-17