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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
650745731130149146310 ~2000
650765723130153144710 ~2000
6508117271171461108711 ~2002
6508277831041324452911 ~2002
650843663130168732710 ~2000
650846711130169342310 ~2000
650862581520690064910 ~2001
650889419130177883910 ~2000
650894173390536503910 ~2001
650921759130184351910 ~2000
650928611130185722310 ~2000
650938583130187716710 ~2000
6509470613124545892911 ~2003
650947931130189586310 ~2000
650948099130189619910 ~2000
650963077390577846310 ~2001
650963723130192744710 ~2000
6509656435858690787111 ~2004
650973803130194760710 ~2000
6509884133515337430311 ~2003
650997839130199567910 ~2000
650998559130199711910 ~2000
651012863130202572710 ~2000
651080939130216187910 ~2000
6510890031562613607311 ~2002
Exponent Prime Factor Digits Year
651095579130219115910 ~2000
651120611130224122310 ~2000
651131363130226272710 ~2000
651133319130226663910 ~2000
651141839130228367910 ~2000
651152171130230434310 ~2000
651153073390691843910 ~2001
651157601520926080910 ~2001
651160271130232054310 ~2000
651187391130237478310 ~2000
651198089520958471310 ~2001
651201671130240334310 ~2000
651202091130240418310 ~2000
651230777520984621710 ~2001
651233591130246718310 ~2000
651240899130248179910 ~2000
651246203130249240710 ~2000
651263219130252643910 ~2000
651264403651264403110 ~2002
651268463130253692710 ~2000
651295919130259183910 ~2000
651296879130259375910 ~2000
651299471130259894310 ~2000
651308807521047045710 ~2001
651337871130267574310 ~2000
Exponent Prime Factor Digits Year
651357713390814627910 ~2001
6514180372475388540711 ~2003
651442391130288478310 ~2000
651460079130292015910 ~2000
651470129521176103310 ~2001
651489911130297982310 ~2000
651496619130299323910 ~2000
651497699130299539910 ~2000
651505741390903444710 ~2001
651517991130303598310 ~2000
651539041390923424710 ~2001
651542291130308458310 ~2000
6515661471563758752911 ~2002
651569053390941431910 ~2001
651606341521285072910 ~2001
651642119130328423910 ~2000
651648323130329664710 ~2000
6516508071172971452711 ~2002
6516638711042662193711 ~2002
651678851130335770310 ~2000
651679991130335998310 ~2000
6516801672606720668111 ~2003
651693241391015944710 ~2001
651700403130340080710 ~2000
651707117912389963910 ~2002
Exponent Prime Factor Digits Year
651751403130350280710 ~2000
651803963130360792710 ~2000
6518216835344937800711 ~2004
651847739130369547910 ~2000
651848917391109350310 ~2001
651857159130371431910 ~2000
6519061194693724056911 ~2004
651910241391146144710 ~2001
651928523130385704710 ~2000
651928811130385762310 ~2000
651937397391162438310 ~2001
651948299130389659910 ~2000
651956533391173919910 ~2001
6519587713129402100911 ~2003
651960157391176094310 ~2001
651995411130399082310 ~2000
652004063130400812710 ~2000
652008509521606807310 ~2001
652024679130404935910 ~2000
652027643130405528710 ~2000
652030259130406051910 ~2000
652037077391222246310 ~2001
652064219130412843910 ~2000
652068479130413695910 ~2000
652074383130414876710 ~2000
3381
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25-07-08