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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
44993771899875438 ~1991
449942412699654479 ~1992
449943773599550179 ~1992
44994539899890798 ~1991
44995103899902078 ~1991
44995271899905438 ~1991
44996279899925598 ~1991
44996411899928238 ~1991
44997311899946238 ~1991
449977217199635379 ~1993
449984234499842319 ~1992
450002714500027119 ~1992
45002063900041278 ~1991
45002219108005325710 ~1993
45002759900055198 ~1991
45002999900059998 ~1991
45003779900075598 ~1991
45004097108009832910 ~1993
45004163900083278 ~1991
450046332700277999 ~1992
45004753108011407310 ~1993
450058278101048879 ~1993
45007819405070371110 ~1995
45008459900169198 ~1991
45008699900173998 ~1991
Exponent Prime Factor Digits Year
450113212700679279 ~1992
45011663900233278 ~1991
45012059900241198 ~1991
45012119900242398 ~1991
450127613601020899 ~1992
45012983900259678 ~1991
45013151900263038 ~1991
450133012700798079 ~1992
450140273601122179 ~1992
45014831900296638 ~1991
45015083900301678 ~1991
45015479900309598 ~1991
450159078102863279 ~1993
45017243900344878 ~1991
45017369135052107110 ~1994
45020099900401998 ~1991
45020159900403198 ~1991
45020543900410878 ~1991
45020663900413278 ~1991
450208376302917199 ~1993
450217193601737539 ~1992
45022151900443038 ~1991
45022319900446398 ~1991
45023831900476638 ~1991
45023999900479998 ~1991
Exponent Prime Factor Digits Year
45024131900482638 ~1991
45025091900501838 ~1991
45026279900525598 ~1991
450266213602129699 ~1992
45027071900541438 ~1991
45027803900556078 ~1991
45029711900594238 ~1991
45030131900602638 ~1991
450305212701831279 ~1992
450310394503103919 ~1993
45031043900620878 ~1991
45031139900622798 ~1991
45031559900631198 ~1991
45032639900652798 ~1991
45033251900665038 ~1991
450332513602660099
45033479900669598 ~1991
45033959900679198 ~1991
450345893602767139 ~1992
45034739900694798 ~1991
450349634503496319 ~1993
45035183900703678 ~1991
45036143900722878 ~1991
45037463900749278 ~1991
45038699900773998 ~1991
Exponent Prime Factor Digits Year
45039023900780478 ~1991
450397637206362099 ~1993
45040679900813598 ~1991
45041123900822478 ~1991
450412572702475439 ~1992
45041519900830398 ~1991
450418132702508799 ~1992
45041939900838798 ~1991
450427972702567839 ~1992
450431393603451139 ~1992
450431398107765039
450431572702589439 ~1992
45043703900874078 ~1991
450441794504417919 ~1993
45044579900891598 ~1991
45045491900909838 ~1991
45046643900932878 ~1991
45047699900953998 ~1991
45047819900956398 ~1991
45048491900969838 ~1991
45048539900970798 ~1991
450487673603901379 ~1992
450490514504905119 ~1993
45049493135148479110 ~1994
45049859900997198 ~1991
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26-04-05