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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
591291803118258360710 ~2000
591309083118261816710 ~2000
591328163118265632710 ~2000
591338003118267600710 ~2000
591353941354812364710 ~2001
591355321354813192710 ~2001
5913645772247185392711 ~2003
59140832911355039916912 ~2004
591439223118287844710 ~2000
591460703118292140710 ~2000
5914684311064643175911 ~2002
591478703118295740710 ~2000
5914850171774455051111 ~2002
591485051473188040910 ~2001
591501931591501931110 ~2001
591502643118300528710 ~2000
591511241354906744710 ~2001
591511559118302311910 ~2000
591533231118306646310 ~2000
591538583118307716710 ~2000
591539171118307834310 ~2000
591551783118310356710 ~2000
591579137473263309710 ~2001
591597959118319591910 ~2000
591620459473296367310 ~2001
Exponent Prime Factor Digits Year
591633299118326659910 ~2000
591654347473323477710 ~2001
591672343591672343110 ~2001
591697679118339535910 ~2000
591704651118340930310 ~2000
591716519118343303910 ~2000
591725633355035379910 ~2001
591731663118346332710 ~2000
591736511118347302310 ~2000
591745883118349176710 ~2000
591760153355056091910 ~2001
591782669473426135310 ~2001
591788699118357739910 ~2000
591800479591800479110 ~2001
591800897473440717710 ~2001
591815821355089492710 ~2001
591827051118365410310 ~2000
591901559118380311910 ~2000
591905183118381036710 ~2000
591928163118385632710 ~2000
591929951118385990310 ~2000
591932323591932323110 ~2001
591937163118387432710 ~2000
592014011118402802310 ~2000
592031651118406330310 ~2000
Exponent Prime Factor Digits Year
592041419118408283910 ~2000
592044547592044547110 ~2001
592046141473636912910 ~2001
592084201355250520710 ~2001
592086959118417391910 ~2000
592130543118426108710 ~2000
592135091118427018310 ~2000
592159523118431904710 ~2000
592167479118433495910 ~2000
592175471118435094310 ~2000
592203539118440707910 ~2000
592207799118441559910 ~2000
592214377947543003310 ~2002
592218563118443712710 ~2000
592221359118444271910 ~2000
592239839118447967910 ~2000
592249319118449863910 ~2000
592264943118452988710 ~2000
592289891118457978310 ~2000
592292891118458578310 ~2000
592293323118458664710 ~2000
592303121355381872710 ~2001
592323089473858471310 ~2001
592329659118465931910 ~2000
592342741355405644710 ~2001
Exponent Prime Factor Digits Year
592344899118468979910 ~2000
5923457114264889119311 ~2003
592346879118469375910 ~2000
592346999118469399910 ~2000
592350719118470143910 ~2000
592368191118473638310 ~2000
592389181355433508710 ~2001
592402103118480420710 ~2000
592404193355442515910 ~2001
592421639118484327910 ~2000
592424939118484987910 ~2000
592434119118486823910 ~2000
592451213355470727910 ~2001
592472821355483692710 ~2001
592482851118496570310 ~2000
592493879118498775910 ~2000
592500383118500076710 ~2000
5925005213318002917711 ~2003
592511603118502320710 ~2000
592520531118504106310 ~2000
592549403118509880710 ~2000
59256109311377172985712 ~2004
592562651118512530310 ~2000
592587251118517450310 ~2000
592603457474082765710 ~2001
3752
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26-07-05