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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
591579137473263309710 ~2001
591597959118319591910 ~2000
591620459473296367310 ~2001
591633299118326659910 ~2000
591654347473323477710 ~2001
591672343591672343110 ~2001
591697679118339535910 ~2000
591716519118343303910 ~2000
591725633355035379910 ~2001
591731663118346332710 ~2000
591736511118347302310 ~2000
591745883118349176710 ~2000
591760153355056091910 ~2001
591782669473426135310 ~2001
591788699118357739910 ~2000
591800479591800479110 ~2001
591800897473440717710 ~2001
591815821355089492710 ~2001
591901559118380311910 ~2000
591905183118381036710 ~2000
591928163118385632710 ~2000
591929951118385990310 ~2000
591932323591932323110 ~2001
591937163118387432710 ~2000
592014011118402802310 ~2000
Exponent Prime Factor Digits Year
592031651118406330310 ~2000
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
592249319118449863910 ~2000
592264943118452988710 ~2000
592292891118458578310 ~2000
592293323118458664710 ~2000
592303121355381872710 ~2001
592323089473858471310 ~2001
592329659118465931910 ~2000
592342741355405644710 ~2001
592344899118468979910 ~2000
Exponent Prime Factor Digits Year
592346879118469375910 ~2000
592346999118469399910 ~2000
592368191118473638310 ~2000
592389181355433508710 ~2001
592402103118480420710 ~2000
592404193355442515910 ~2001
592424939118484987910 ~2000
592434119118486823910 ~2000
592451213355470727910 ~2001
592472821355483692710 ~2001
592500383118500076710 ~2000
5925005213318002917711 ~2003
592511603118502320710 ~2000
592549403118509880710 ~2000
592562651118512530310 ~2000
592587251118517450310 ~2000
592603457474082765710 ~2001
592607579118521515910 ~2000
592624919118524983910 ~2000
592625443948200708910 ~2002
592631189474104951310 ~2001
592636139118527227910 ~2000
5926363671540854554311 ~2002
592683743118536748710 ~2000
592696889829775644710 ~2002
Exponent Prime Factor Digits Year
592724701355634820710 ~2001
592756741355654044710 ~2001
592761977829866767910 ~2002
592792283118558456710 ~2000
5927989791896956732911 ~2002
592805639118561127910 ~2000
592806527474245221710 ~2001
592817171118563434310 ~2000
592828259118565651910 ~2000
592857851118571570310 ~2000
592868599592868599110 ~2001
592882571118576514310 ~2000
592897181474317744910 ~2001
592902083118580416710 ~2000
592915523118583104710 ~2000
592986859592986859110 ~2001
592990631118598126310 ~2000
593000921355800552710 ~2001
593003137355801882310 ~2001
593015303118603060710 ~2000
593039059593039059110 ~2001
593044271118608854310 ~2000
593052503118610500710 ~2000
593065229474452183310 ~2001
593071931474457544910 ~2001
3307
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25-06-08