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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
2400187240018718 ~1983
2400221144013278 ~1982
240031148006237 ~1981
2400469528103198 ~1983
2400613144036798 ~1982
2400779192062338 ~1982
2400793960317218 ~1984
2401219960487618 ~1984
2401237384197938 ~1983
240146348029277 ~1981
24014631921170419
2401561720468318 ~1984
2401571192125698 ~1982
240158348031677 ~1981
2401621528356638 ~1983
2401727432310878 ~1983
2401967192157378 ~1982
2401967576472098
240199148039837 ~1981
2402053528451678 ~1983
2402087192166978 ~1982
2402203576528738 ~1983
240265148053037 ~1981
2402677144160638 ~1982
2402707384433138 ~1983
Exp. Prime Factor Digits Year
240281948056397 ~1981
2402837144170238 ~1982
240295148059037 ~1981
2402999432539838 ~1983
240308348061677 ~1981
2403127384500338 ~1983
2403131192250498 ~1982
2403277384524338 ~1983
240337148067437 ~1981
2403469961387618 ~1984
2403517144211038 ~1982
2403619432651438 ~1983
2403881144232878 ~1982
2403931240393118 ~1983
2403941192315298 ~1982
24040091298164879 ~1984
2404033144241998 ~1982
2404291432772398 ~1983
240463148092637 ~1981
240467948093597 ~1981
2404757577141698 ~1983
240485948097197 ~1981
240517148103437 ~1981
2405213721563918 ~1984
2405297144317838 ~1982
Exp. Prime Factor Digits Year
2405393336755038 ~1983
24055391010326399 ~1984
2405633577351938 ~1983
2405701529254238 ~1983
2405729192458338 ~1982
2405867625525438 ~1984
2405983240598318 ~1983
2406067240606718 ~1983
2406161144369678 ~1982
2406227192498178 ~1982
240626348125277 ~1981
2406553144393198 ~1982
2406553529441678
2406557144393438 ~1982
2406557577573698
2406631240663118 ~1983
2406793577630338 ~1983
24069471347890339 ~1984
24069471925557619
2406983625815598 ~1984
2406997144419838 ~1982
2407003240700318 ~1983
2407033577687938 ~1983
2407049722114718 ~1984
2407159240715918 ~1983
Exp. Prime Factor Digits Year
2407189529581598 ~1983
2407193144431598 ~1982
2407651240765118 ~1983
2407723577853538 ~1983
240779948155997 ~1981
2407799192623938
240794348158877 ~1981
240803948160797 ~1981
2408201144492078 ~1982
2408239240823918 ~1983
2408257722477118 ~1984
24082791011477199 ~1984
2408587433545678 ~1983
24087297707932819 ~1986
240877148175437 ~1981
2408983240898318 ~1983
24090311975405439 ~1985
2409061529993438 ~1983
2409157144549438 ~1982
240919148183837 ~1981
2409217144553038 ~1982
24092991011905599 ~1984
2409313144558798 ~1982
2409367385498738 ~1983
2409397144563838 ~1982
437
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25-09-07