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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 Dig. Year
51904858133114291487911 ~2008
51905898678304943787311 ~2009
51908090511038161810311 ~2007
51910402133114624127911 ~2008
51910462191038209243911 ~2007
51915305238306448836911 ~2009
51917174031038343480711 ~2007
51917259231038345184711 ~2007
51917831991038356639911 ~2007
519181615937381076344912 ~2011
51920776791038415535911 ~2007
51924340818307894529711 ~2009
51926236791038524735911 ~2007
51927399978308383995311 ~2009
51928454391038569087911 ~2007
51931320231038626404711 ~2007
51931746831038634936711 ~2007
51932731911038654638311 ~2007
51933043791038660875911 ~2007
51933541191038670823911 ~2007
51934426973116065618311 ~2008
51936398511038727970311 ~2007
51938860911038777218311 ~2007
51941579814155326384911 ~2008
51946670991038933419911 ~2007
Exponent Prime Factor Dig. Year
51948386511038967730311 ~2007
51949731111038994622311 ~2007
51950194194156015535311 ~2008
51953342813117200568711 ~2008
51953395431039067908711 ~2007
51954121911039082438311 ~2007
51954320031039086400711 ~2007
51956298231039125964711 ~2007
51956491431039129828711 ~2007
51960117831039202356711 ~2007
51960668391039213367911 ~2007
51961705431039234108711 ~2007
519663818919747225118312 ~2010
51970338111039406762311 ~2007
51970907631039418152711 ~2007
51974363511039487270311 ~2007
51975123711039502474311 ~2007
51976529511039530590311 ~2007
519769177315593075319112 ~2010
51979404111039588082311 ~2007
51979879191039597583911 ~2007
51980171991039603439911 ~2007
51982428591039648571911 ~2007
51983287914158663032911 ~2008
51989612631039792252711 ~2007
Exponent Prime Factor Dig. Year
519941324316638122377712 ~2010
51994328511039886570311 ~2007
51995976533119758591911 ~2008
51996158533119769511911 ~2008
51997385391039947707911 ~2007
51997827231039956544711 ~2007
51998421711039968434311 ~2007
51998465391039969307911 ~2007
52001421533120085291911 ~2008
52002321831040046436711 ~2007
52002670431040053408711 ~2007
52008247311040164946311 ~2007
52008741111040174822311 ~2007
52009329591040186591911 ~2007
52009933733120596023911 ~2008
52010689791040213795911 ~2007
52015257111040305142311 ~2007
52016373831040327476711 ~2007
52017331431040346628711 ~2007
52019157918323065265711 ~2009
52019189511040383790311 ~2007
52019838894161587111311 ~2008
52021896591040437931911 ~2007
52022269431040445388711 ~2007
52025341191040506823911 ~2007
Exponent Prime Factor Dig. Year
52025827791040516555911 ~2007
520306042750989992184712 ~2011
52033596591040671931911 ~2007
52033665831040673316711 ~2007
52035767391040715347911 ~2007
520358161920814326476112 ~2010
520368861715611065851112 ~2010
52037449431040748988711 ~2007
52038915711040778314311 ~2007
52040885631040817712711 ~2007
52041009199367381654311 ~2009
52044111711040882234311 ~2007
52045019274163601541711 ~2008
52045564578327290331311 ~2009
52046109231040922184711 ~2007
52046606511040932130311 ~2007
52047653173122859190311 ~2008
52047927831040958556711 ~2007
52048557831040971156711 ~2007
52051586533123095191911 ~2008
52053658431041073168711 ~2007
52053845573123230734311 ~2008
52054369794164349583311 ~2008
52056144111041122882311 ~2007
52056974391041139487911 ~2007
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25-04-13