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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
748165879717955981112912 ~2011
74817319311496346386311 ~2008
74817786774489067206311 ~2009
74819008431496380168711 ~2008
74820660715985652856911 ~2010
74825283231496505664711 ~2008
74828869134489732147911 ~2009
74837015814490220948711 ~2009
748381103322451433099112 ~2011
74838605631496772112711 ~2008
74842311711496846234311 ~2008
74847027475987762197711 ~2010
74854169031497083380711 ~2008
74854617711497092354311 ~2008
74860837791497216755911 ~2008
74861251311497225026311 ~2008
74862091791497241835911 ~2008
74862448191497248963911 ~2008
74865137391497302747911 ~2008
74865429231497308584711 ~2008
74866219791497324395911 ~2008
74866488111497329762311 ~2008
74866506231497330124711 ~2008
74867489031497349780711 ~2008
74871926214492315572711 ~2009
Exponent Prime Factor Dig. Year
74872428111497448562311 ~2008
74877427191497548543911 ~2008
74877953511497559070311 ~2008
74880466911497609338311 ~2008
74881517391497630347911 ~2008
74885014311497700286311 ~2008
74887381614493242896711 ~2009
748897150719471325918312 ~2011
74897180391497943607911 ~2008
74898708415991896672911 ~2010
74899616631497992332711 ~2008
74905661511498113230311 ~2008
74907972831498159456711 ~2008
749105144337455257215112 ~2012
74913615831498272316711 ~2008
74914925214494895512711 ~2009
74916752875993340229711 ~2010
74919967191498399343911 ~2008
74926530711498530614311 ~2008
74927155014495629300711 ~2009
74931032031498620640711 ~2008
74932288934495937335911 ~2009
74935179734496110783911 ~2009
74936526711498730534311 ~2008
749370608319483635815912 ~2011
Exponent Prime Factor Dig. Year
74937079791498741595911 ~2008
74941497111498829942311 ~2008
74943247911498864958311 ~2008
74943637911498872758311 ~2008
74946645111498932902311 ~2008
74946732711498934654311 ~2008
74947124717494712471111 ~2010
74949404991498988099911 ~2008
74949482991498989659911 ~2008
74950460631499009212711 ~2008
74951248311499024966311 ~2008
74957206277495720627111 ~2010
74958724911499174498311 ~2008
74959041831499180836711 ~2008
74960957515996876600911 ~2010
74962614711499252294311 ~2008
749723141955479512500712 ~2012
74977403031499548060711 ~2008
74981016231499620324711 ~2008
74984985317498498531111 ~2010
74985852711499717054311 ~2008
74990347431499806948711 ~2008
749909880135995674244912 ~2012
74991446511499828930311 ~2008
74991740995999339279311 ~2010
Exponent Prime Factor Dig. Year
74993196831499863936711 ~2008
74998677591499973551911 ~2008
75001127991500022559911 ~2008
75003086631500061732711 ~2008
75003242814500194568711 ~2009
75003802134500228127911 ~2009
75005662311500113246311 ~2008
75006340191500126803911 ~2008
75007537911500150758311 ~2008
75007837431500156748711 ~2008
75008990511500179810311 ~2008
75009590174500575410311 ~2009
75011024031500220480711 ~2008
75014871831500297436711 ~2008
75015150831500303016711 ~2008
75015255231500305104711 ~2008
750155238112002483809712 ~2010
75015662031500313240711 ~2008
75020524431500410488711 ~2008
75021593631500431872711 ~2008
75024692031500493840711 ~2008
75025151774501509106311 ~2009
75029140911500582818311 ~2008
75030951231500619024711 ~2008
75032704311500654086311 ~2008
4688
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26-03-15