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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
58848093533530885611911 ~2008
58849436991176988739911 ~2007
58851086391177021727911 ~2007
58852731111177054622311 ~2007
58853397294708271783311 ~2009
58854454311177089086311 ~2007
588579708720011710095912 ~2010
58860554031177211080711 ~2007
58862955591177259111911 ~2007
58863838733531830323911 ~2008
58865242911177304858311 ~2007
58865484831177309696711 ~2007
58865510031177310200711 ~2007
58870657311177413146311 ~2007
58870882431177417648711 ~2007
58870980711177419614311 ~2007
588715351312951737728712 ~2010
58876143613532568616711 ~2008
588772348314130536359312 ~2010
58877707191177554143911 ~2007
58878822711177576454311 ~2007
58878891591177577831911 ~2007
58886494213533189652711 ~2008
58886796831177735936711 ~2007
58886892831177737856711 ~2007
Exponent Prime Factor Dig. Year
588874222117666226663112 ~2010
58887984231177759684711 ~2007
58889104311177782086311 ~2007
58889346711177786934311 ~2007
58890870915889087091111 ~2009
58892250711177845014311 ~2007
58892806431177856128711 ~2007
58900400631178008012711 ~2007
58900802391178016047911 ~2007
58901070591178021411911 ~2007
58902895431178057908711 ~2007
58903624311178072486311 ~2007
58905320698246744896711 ~2009
589075532914137812789712 ~2010
58908834831178176696711 ~2007
58911668391178233367911 ~2007
58912188973534731338311 ~2008
58913613174713089053711 ~2009
58916609031178332180711 ~2007
58921379631178427592711 ~2007
58927417911178548358311 ~2007
58930365373535821922311 ~2008
58931567391178631347911 ~2007
58931714479429074315311 ~2010
58935277191178705543911 ~2007
Exponent Prime Factor Dig. Year
58936729791178734595911 ~2007
58937602973536256178311 ~2008
58942298391178845967911 ~2007
58943436773536606206311 ~2008
58943756991178875139911 ~2007
58944045591178880911911 ~2007
58946543511178930870311 ~2007
58950858773537051526311 ~2008
58951556391179031127911 ~2007
58953636019432581761711 ~2010
58955172379432827579311 ~2010
58958034111179160682311 ~2007
589582466333016618112912 ~2011
58958851191179177023911 ~2007
58967704373538062262311 ~2008
58970883711179417674311 ~2007
58977112431179542248711 ~2007
58978711311179574226311 ~2007
58978982213538738932711 ~2008
58979348631179586972711 ~2007
58981598031179631960711 ~2007
58983061911179661238311 ~2007
58983800631179676012711 ~2007
58984580031179691600711 ~2007
58984899173539093950311 ~2008
Exponent Prime Factor Dig. Year
58989581511179791630311 ~2007
58991658231179833164711 ~2007
58997879031179957580711 ~2007
58999174311179983486311 ~2007
59000400711180008014311 ~2007
59001388311180027766311 ~2007
59004117733540247063911 ~2008
59005219339440835092911 ~2010
59006649231180132984711 ~2007
59006994711180139894311 ~2007
59011315194720905215311 ~2009
59013945711180278914311 ~2007
590143555722425455116712 ~2010
59015437791180308755911 ~2007
59019639315901963931111 ~2009
59019808911180396178311 ~2007
59024112831180482256711 ~2007
59024682591180493651911 ~2007
59025241911180504838311 ~2007
59025866991180517339911 ~2007
59026219191180524383911 ~2007
59028113235902811323111 ~2009
59029023711180580474311 ~2007
59030500311180610006311 ~2007
590316233914167589613712 ~2010
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25-04-13