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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
12552959251059198 ~1986
12552973753178398 ~1988
125532411004259299 ~1988
12553451251069038 ~1986
12553511251070238 ~1986
12553631251072638 ~1986
125536371004290979 ~1988
125542332008677299 ~1989
12554533753271998 ~1988
12554579251091598 ~1986
12554879251097598 ~1986
12555083251101678 ~1986
12555311251106238 ~1986
12555359251107198 ~1986
12555479251109598 ~1986
12555593100444744110 ~1990
12555743251114878 ~1986
125558475022338819 ~1990
125560672260092079 ~1989
12556139251122798 ~1986
12556499251129998 ~1986
12557711251154238 ~1986
12557819251156398 ~1986
12557933753475998 ~1988
125579331758110639
Exponent Prime Factor Digits Year
125585271004682179 ~1988
12558599251171998 ~1986
12558671251173438 ~1986
12558779251175598 ~1986
12558941753536478 ~1988
125594272260696879 ~1989
12559691251193838 ~1986
125600872260815679 ~1989
12560699251213998 ~1986
12560759251215198 ~1986
125608191004865539 ~1988
125611271256112719 ~1988
12561383251227678 ~1986
12561551251231038 ~1986
125628411005027299 ~1988
12563113753786798 ~1988
12563591251271838 ~1986
12564143251282878 ~1986
125647491005179939 ~1988
12564791251295838 ~1986
12564803251296078 ~1986
12564971251299438 ~1986
12564977753898638 ~1988
12565139251302798 ~1986
125658534021072979 ~1989
Exponent Prime Factor Digits Year
12565991251319838 ~1986
125659911005279299
12566003251320078 ~1986
12566297753977838 ~1988
125663211005305699 ~1988
125665371005322979 ~1988
12566693754001598 ~1988
12566759251335198 ~1986
12566819251336398 ~1986
125668371005346979 ~1988
12567677754060638 ~1988
12567761754065678 ~1988
12567851251357038 ~1986
12568079251361598 ~1986
12568103251362078 ~1986
12568331251366638 ~1986
12569363251387278 ~1986
12569471251389438 ~1986
12569497754169838 ~1988
125695872262525679 ~1989
12569699251393998 ~1986
12569831251396638 ~1986
12570119251402398 ~1986
12570179251403598 ~1986
12570263251405278 ~1986
Exponent Prime Factor Digits Year
12570451103077698310 ~1990
12570997754259838 ~1988
12571199251423998 ~1986
12571319251426398 ~1986
12571417754285038 ~1988
12571541754292478 ~1988
12571697100573576110 ~1990
125717533771525919 ~1989
12571859251437198 ~1986
12571943251438878 ~1986
125720591257205919 ~1988
12572137754328238 ~1988
12572291251445838 ~1986
12572377754342638 ~1988
12572663251453278 ~1986
12573059251461198 ~1986
12573437754406238 ~1988
12573601754416078 ~1988
125736372011781939 ~1989
12573661754419678 ~1988
12573959251479198 ~1986
12574141128256238310 ~1991
125752631257526319 ~1988
12575317754519038 ~1988
12575471251509438 ~1986
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