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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
5857561351453678 ~1985
5857619117152398 ~1984
5857763117155278 ~1984
5857961351477678 ~1985
5857991117159838 ~1984
5858003117160078 ~1984
5858243117164878 ~1984
5858341351500478 ~1985
5858431585843118 ~1986
5858483117169678 ~1984
5858579117171598 ~1984
5858843117176878 ~1984
5858857351531438 ~1985
5858971937435378 ~1986
5859179117183598 ~1984
5859241351554478 ~1985
5859317351559038 ~1985
58593171757795119
5859617468769378 ~1985
5859817937570738 ~1986
5859947468795778 ~1985
5860199117203998 ~1984
5860451117209038 ~1984
5860511117210238 ~1984
5860919117218398 ~1984
Exp. Prime Factor Digits Year
5860973351658398 ~1985
5861099117221998 ~1984
5861231468898498 ~1985
5861951117239038 ~1984
5862179117243598 ~1984
5862371117247438 ~1984
5862443117248878 ~1984
5862497468999778 ~1985
58625591055260639 ~1986
5862599212226083910 ~1989
5862617469009378 ~1985
58627572345102819 ~1987
5862767469021378 ~1985
5862929469034338 ~1985
5863043117260878 ~1984
5863271117265438 ~1984
58633273869795839 ~1988
5863469469077538 ~1985
5863601469088098 ~1985
5863703117274078 ~1984
5863811117276238 ~1984
5863981351838878 ~1985
5864063117281278 ~1984
5864101351846078 ~1985
5864279117285598 ~1984
Exp. Prime Factor Digits Year
5864413938306098 ~1986
5864437351866238 ~1985
5864561469164898 ~1985
5864737351884238 ~1985
5864861469188898 ~1985
5865059469204738 ~1985
5865143117302878 ~1984
5865151938424178 ~1986
5865551117311038 ~1984
5865571586557118 ~1986
58657515161860899 ~1988
5865817351949038 ~1985
5865919586591918 ~1986
5865971117319438 ~1984
5866043117320878 ~1984
5866417351985038 ~1985
5866807938689138 ~1986
58668973168124399 ~1987
5867003117340078 ~1984
5867009469360738 ~1985
5867063117341278 ~1984
5867063126728560910
5867111117342238 ~1984
5867347586734718 ~1986
5867591117351838 ~1984
Exp. Prime Factor Digits Year
58675911056166399
5867803586780318 ~1986
5867891117357838 ~1984
5867969469437538 ~1985
5868101130271842310 ~1989
5868143117362878 ~1984
5868277352096638 ~1985
5868361352101678 ~1985
5868959117379198 ~1984
58691211878118739 ~1987
5869169821683678 ~1986
58692891408629379 ~1986
5869337352160238 ~1985
5869399586939918 ~1986
5869517469561378 ~1985
58696791056542239 ~1986
5869691117393838 ~1984
58699611760988319 ~1987
5870099117401998 ~1984
5870141469611298 ~1985
58705491878575699 ~1987
5870759117415198 ~1984
5870881939340978 ~1986
5870999117419998 ~1984
5871023117420478 ~1984
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25-07-08