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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
5917007473360578 ~1985
5917201355032078 ~1985
5917259118345198 ~1984
59173674378851599 ~1988
5917403118348078 ~1984
5917543946806898 ~1986
59176871420244899 ~1987
5917771591777118 ~1986
5917859473428738 ~1985
5917871118357438 ~1984
5917883118357678 ~1984
5918083591808318 ~1986
5918527591852718 ~1986
5918603118372078 ~1984
5919131118382638 ~1984
5919157355149438 ~1985
5919191118383838 ~1984
5919787591978718 ~1986
5919863118397278 ~1984
59198771775963119 ~1987
5919923118398478 ~1984
5919931591993118 ~1986
5920091118401838 ~1984
5920151118403038 ~1984
5920171592017118 ~1986
Exp. Prime Factor Digits Year
59204291302494399 ~1986
5920511118410238 ~1984
59208911065760399 ~1986
5921291118425838 ~1984
5921297355277838 ~1985
59213531421124739 ~1987
5921359592135918 ~1986
5921677355300638 ~1985
5921891473751298 ~1985
5922071118441438 ~1984
59221071539747839 ~1987
5922173355330398 ~1985
5922359118447198 ~1984
59223592487390799
5922437355346238 ~1985
5922577355354638 ~1985
5922671118453438 ~1984
5922827473826178 ~1985
5923019118460398 ~1984
59230311895369939 ~1987
5923241355394478 ~1985
5923507947761138 ~1986
5923741355424478 ~1985
5923901355434078 ~1985
5923961473916898 ~1985
Exp. Prime Factor Digits Year
5924339118486798 ~1984
5924489473959138 ~1985
5924519118490398 ~1984
5924573355474398 ~1985
59246471421915299 ~1987
5924783118495678 ~1984
5924833355489998 ~1985
5925133355507998 ~1985
5925173355510398 ~1985
5925203118504078 ~1984
5925253355515198 ~1985
5925377474030178 ~1985
5925583592558318 ~1986
5925757355545438 ~1985
5925971474077698 ~1985
5926073355564398 ~1985
5926139118522798 ~1984
59263371777901119 ~1987
59264632489114479 ~1987
5926889829764478 ~1986
5927137355628238 ~1985
5927567474205378 ~1985
59275871422620899 ~1987
5927921355675278 ~1985
5928119118562398 ~1984
Exp. Prime Factor Digits Year
5928119474249538
5928193948510898 ~1986
5928343592834318 ~1986
5928653355719198 ~1985
5928683118573678 ~1984
59288992490137599 ~1987
5928959474316738 ~1985
5929019118580398 ~1984
5929067474325378 ~1985
5929211118584238 ~1984
5929289474343138 ~1985
5929303948688498 ~1986
5929321355759278 ~1985
5929403118588078 ~1984
5929439474355138 ~1985
5929633355777998 ~1985
5929873355792398 ~1985
5930039474403138 ~1985
5930069474405538 ~1985
5930081355804878 ~1985
59300812846438899
5930201474416098 ~1985
5930279474422338 ~1985
5930521355831278 ~1985
5930651118613038 ~1984
749
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25-04-13