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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.
Exponent Prime Factor Digits Year
20451551409031038 ~1988
20451911409038238 ~1988
204519673272314739 ~1990
20452199409043998 ~1988
20452559163620472110 ~1992
20452703409054078 ~1988
20452739409054798 ~1988
20452979409059598 ~1988
20453039409060798 ~1988
20453591409071838 ~1988
204536233272579699 ~1990
20453663409073278 ~1988
204550038182001219 ~1991
204550513272808179 ~1990
20455499409109998 ~1988
20455559409111198 ~1988
204563331227379999 ~1989
20456651409133038 ~1988
20456963409139278 ~1988
20457023409140478 ~1988
204576771636614179 ~1990
20458103409162078 ~1988
20458283409165678 ~1988
20458643409172878 ~1988
20458703409174078 ~1988
Exponent Prime Factor Digits Year
20458723147302805710 ~1992
204589811227538879 ~1989
20459651409193038 ~1988
204602419411710879 ~1991
204605773273692339 ~1990
20460683409213678 ~1988
204609892864538479 ~1990
20461019409220398 ~1988
20461139409222798 ~1988
20461151409223038 ~1988
204613211227679279 ~1989
204616071636928579 ~1990
20462063409241278 ~1988
204629211227775279 ~1989
204641092864975279 ~1990
20464211409284238 ~1988
20464331409286638 ~1988
20464511409290238 ~1988
204645376139361119 ~1991
20465099261953267310 ~1992
20465303409306078 ~1988
20465531409310638 ~1988
20465723409314478 ~1988
20465771409315438 ~1988
20466311409326238 ~1988
Exponent Prime Factor Digits Year
204664931227989599 ~1989
204667372865343199 ~1990
20467103409342078 ~1988
20467259409345198 ~1988
20467283409345678 ~1988
20468099409361998 ~1988
20468857327501712110 ~1993
20468951409379038 ~1988
204690131228140799 ~1989
204691311637530499 ~1990
204691911637535299 ~1990
20469359409387198 ~1988
204695511637564099 ~1990
204697194912732579 ~1991
20469791409395838 ~1988
20471411409428238 ~1988
20471579409431598 ~1988
20471963409439278 ~1988
20472191409443838 ~1988
20472299409445998 ~1988
20472839409456798 ~1988
20473163409463278 ~1988
20473331409466638 ~1988
20473451409469038 ~1988
204740112047401119 ~1990
Exponent Prime Factor Digits Year
20474411409488238 ~1988
20474651409493038 ~1988
204749176142475119 ~1991
20475491409509838 ~1988
20475683409513678 ~1988
20476331409526638 ~1988
204767331228603999 ~1989
204768011228608079 ~1989
20477423409548478 ~1988
20477519409550398 ~1988
204776091638208739 ~1990
20477903409558078 ~1988
204780371228682239 ~1989
204784396962669279 ~1991
20478539409570798 ~1988
20479583409591678 ~1988
20479859409597198 ~1988
204802694505659199 ~1991
204811931228871599 ~1989
204814694505923199 ~1991
20481491409629838 ~1988
20481599409631998 ~1988
204816792048167919 ~1990
20481959409639198 ~1988
20482043409640878 ~1988
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