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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
4115333246919998 ~1984
411554382310877 ~1983
41156031316992979 ~1986
4115753246945198 ~1984
4115833658533298 ~1985
4115957576233998 ~1985
4116061658569778 ~1985
4116071329285698 ~1984
4116311329304898 ~1984
4116641246998478 ~1984
4116649987995778 ~1985
411674382334877 ~1983
41168231399719839 ~1986
4116857247011438 ~1984
4116857329348578
4116899329351938 ~1984
411692382338477 ~1983
4117007741061278 ~1985
411703182340637 ~1983
41171231646849219 ~1986
41171333952447699 ~1987
411725982345197 ~1983
411752382350477 ~1983
4117577576460798 ~1985
4117781329422498 ~1984
Exp. Prime Factor Digits Year
4117783658845298 ~1985
4117909308843175110 ~1989
4118077658892338 ~1985
4118111329448898 ~1984
411853182370637 ~1983
4118707411870718 ~1984
4118897247133838 ~1984
4119077247144638 ~1984
4119149576680878 ~1985
411935982387197 ~1983
411938382387677 ~1983
4119397659103538 ~1985
4119589988701378 ~1985
4119601247176078 ~1984
411962382392477 ~1983
41197193707747119 ~1987
4119833247189998 ~1984
4119977576796798 ~1985
4120097247205838 ~1984
412022382404477 ~1983
4120301329624098 ~1984
412033182406637 ~1983
4120577247234638 ~1984
4120679329654338 ~1984
41207472719693039 ~1986
Exp. Prime Factor Digits Year
4120939741769038 ~1985
412100382420077 ~1983
4121177576964798 ~1985
4121231741821598 ~1985
412145982429197 ~1983
4121647412164718 ~1984
4121861329748898 ~1984
4121869906811198 ~1985
4121987329758978 ~1984
4122077989298498 ~1985
4122317247339038 ~1984
4122421247345278 ~1984
412247982449597 ~1983
4122749577184878 ~1985
41227791978933939 ~1986
4122827742108878 ~1985
4122893247373598 ~1984
412321182464237 ~1983
4123297247397838 ~1984
412331982466397 ~1983
412343982468797 ~1983
4123531659764978 ~1985
4123681247420878 ~1984
412379982475997 ~1983
4123871742296798 ~1985
Exp. Prime Factor Digits Year
41238915361058319 ~1987
4123913577347838 ~1985
412394382478877 ~1983
41239491979495539 ~1986
4123967742314078 ~1985
41241231072271999 ~1985
4124287742371678 ~1985
4124381247462878 ~1984
41243811319801939
4124443182300380710 ~1988
4124507329960578 ~1984
412465182493037 ~1983
4124717247483038 ~1984
412508382501677 ~1983
4125137247508238 ~1984
4125181907539838 ~1985
4125281247516878 ~1984
41252872062643519 ~1986
4125371330029698 ~1984
4125403660064498 ~1985
4125419742575438 ~1985
412543182508637 ~1983
41254316270655139
4125497247529838 ~1984
4125703990168738 ~1985
625
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26-02-08