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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
8154599163091998 ~1985
8155031652402498 ~1986
81553191957276579 ~1988
8155391163107838 ~1985
8155457489327438 ~1986
81554711467984799 ~1987
8155621489337278 ~1986
8155859163117198 ~1985
8156153489369198 ~1986
8156341489380478 ~1986
8156387652510978 ~1986
8156501652520098 ~1986
81566998482966979 ~1989
8156723163134478 ~1985
8157181489430878 ~1986
81575091957802179 ~1988
8157683163153678 ~1985
81578695057878799 ~1989
8158013489480798 ~1986
81580215710614719 ~1989
8158103163162078 ~1985
8158229109320268710 ~1989
81584571958029699 ~1988
8158517489511038 ~1986
8158751163175038 ~1985
Exp. Prime Factor Digits Year
8158919163178398 ~1985
8159093489545598 ~1986
8159423163188478 ~1985
8159467815946718 ~1987
8159621652769698 ~1986
81598211305571379 ~1987
81599711468794799 ~1987
8160011163200238 ~1985
8160197652815778 ~1986
8161259163225198 ~1985
8161511163230238 ~1985
8161859163237198 ~1985
8162017489721038 ~1986
8162051163241038 ~1985
8162111163242238 ~1985
8162123163242478 ~1985
8162411163248238 ~1985
8162603163252078 ~1985
8162629370583356710 ~1991
81626534407832639 ~1988
81627472122314239 ~1988
8162773489766398 ~1986
8162831163256638 ~1985
8163191163263838 ~1985
8163487816348718 ~1987
Exp. Prime Factor Digits Year
8163503163270078 ~1985
8163641489818478 ~1986
81637093265483619 ~1988
8163971163279438 ~1985
8164451163289038 ~1985
8164477489868638 ~1986
8164619163292398 ~1985
8164841489890478 ~1986
8165093489905598 ~1986
8165351163307038 ~1985
81653934409312239 ~1988
81655271959726499 ~1988
8165761489945678 ~1986
8165903163318078 ~1985
8165939163318798 ~1985
81660191469883439 ~1987
8166071163321438 ~1985
81664071469953279 ~1987
8166757313603468910 ~1991
8166923163338478 ~1985
8167079163341598 ~1985
8167447816744718 ~1987
81674471470140479
81674831306797299 ~1987
81675172450255119 ~1988
Exp. Prime Factor Digits Year
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
8171497490289838 ~1986
8171701490302078 ~1986
8171759163435198 ~1985
906
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25-05-04