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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
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
58675911056166399
Exp. Prime Factor Digits Year
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
5871479117429598 ~1984
Exp. Prime Factor Digits Year
5871611117432238 ~1984
58717091761512719 ~1987
5872151117443038 ~1984
5872343117446878 ~1984
5872417352345038 ~1985
5872457469796578 ~1985
5872511117450238 ~1984
5872523117450478 ~1984
5872571469805698 ~1985
5872579587257918 ~1986
58726871057083679 ~1986
5872913352374798 ~1985
5872943117458878 ~1984
5872991469839298 ~1985
58732271409574499 ~1986
5873471469877698 ~1985
5873501352410078 ~1985
5873521352411278 ~1985
58738012819424499 ~1987
5873837822337198 ~1986
5874251469940098 ~1985
5874371117487438 ~1984
5874397352463838 ~1985
5874839117496798 ~1984
5874839469987138
Exp. Prime Factor Digits Year
58748891762466719 ~1987
5875403117508078 ~1984
5875451117509038 ~1984
5875619117512398 ~1984
5875657352539438 ~1985
58757572232787679 ~1987
5875817470065378 ~1985
5875847470067778 ~1985
5875937470074978 ~1985
5875973352558398 ~1985
5875979117519598 ~1984
5876219117524398 ~1984
5876231470098498 ~1985
5876399117527998 ~1984
5876683587668318 ~1986
58769331763079919 ~1987
58769891763096719 ~1987
5876993352619598 ~1985
5876999117539998 ~1984
5877149470171938 ~1985
5877419117548398 ~1984
5877737352664238 ~1985
58778712821378099 ~1987
5878121470249698 ~1985
5878139117562798 ~1984
745
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25-04-13