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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
50372825991007456519911 ~2007
50373543231007470864711 ~2007
50375772711007515454311 ~2007
50376075831007521516711 ~2007
50378258391007565167911 ~2007
50380911613022854696711 ~2008
50381970714030557656911 ~2008
50383368474030669477711 ~2008
50386845591007736911911 ~2007
50387909031007758180711 ~2007
50389809831007796196711 ~2007
50389826573023389594311 ~2008
50390331711007806634311 ~2007
50390625774031250061711 ~2008
50396337591007926751911 ~2007
50398046391007960927911 ~2007
50399605431007992108711 ~2007
50402163711008043274311 ~2007
50402671191008053423911 ~2007
50403549711008070994311 ~2007
50403590391008071807911 ~2007
50404713231008094264711 ~2007
50405142174032411373711 ~2008
50406246373024374782311 ~2008
50406859333024411559911 ~2008
Exponent Prime Factor Dig. Year
50406951711008139034311 ~2007
50409642174032771373711 ~2008
50410020414032801632911 ~2008
50415518631008310372711 ~2007
50415801231008316024711 ~2007
504176017740334081416112 ~2011
504190657719159244992712 ~2010
50420796711008415934311 ~2007
50421700278067472043311 ~2009
50422090791008441815911 ~2007
50428184631008563692711 ~2007
50429610373025776622311 ~2008
50433322191008666443911 ~2007
50433541911008670838311 ~2007
50433590994034687279311 ~2008
50436767631008735352711 ~2007
50437136511008742730311 ~2007
50440845594035267647311 ~2008
50443649991008872999911 ~2007
50444999511008899990311 ~2007
50447390991008947819911 ~2007
50447861391008957227911 ~2007
50449160874035932869711 ~2008
50450823114036065848911 ~2008
50451329994036106399311 ~2008
Exponent Prime Factor Dig. Year
50452065591009041311911 ~2007
50457709911009154198311 ~2007
50457949794036635983311 ~2008
50461796478073887435311 ~2009
50462051694036964135311 ~2008
50466543111009330862311 ~2007
50468039773028082386311 ~2008
50469252231009385044711 ~2007
504695917315140877519112 ~2010
50472027111009440542311 ~2007
50473720791009474415911 ~2007
50474460231009489204711 ~2007
50476837431009536748711 ~2007
50477147391009542947911 ~2007
50482284831009645696711 ~2007
50485790991009715819911 ~2007
504887976720195519068112 ~2010
50489284311009785686311 ~2007
50489492991009789859911 ~2007
504898570911107768559912 ~2009
504912334951501058159912 ~2011
50494115991009882319911 ~2007
50494993974039599517711 ~2008
50496194991009923899911 ~2007
50498921631009978432711 ~2007
Exponent Prime Factor Dig. Year
50499979431009999588711 ~2007
50502721191010054423911 ~2007
505047524940403801992112 ~2011
50505361431010107228711 ~2007
50505445191010108903911 ~2007
50505782511010115650311 ~2007
50507998674040639893711 ~2008
50508084591010161691911 ~2007
50508206094040656487311 ~2008
50510401911010208038311 ~2007
50511213318081794129711 ~2009
50512757631010255152711 ~2007
50512773831010255476711 ~2007
50519275911010385518311 ~2007
50521618431010432368711 ~2007
505226642312125439415312 ~2009
50523858231010477164711 ~2007
50524366191010487323911 ~2007
50524522333031471339911 ~2008
50529603231010592064711 ~2007
50530386711010607734311 ~2007
50532089031010641780711 ~2007
50535198973032111938311 ~2008
50536026231010720524711 ~2007
50536930813032215848711 ~2008
4071
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25-05-04