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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
725252653435151591910 ~2001
725265791145053158310 ~2000
725279543145055908710 ~2000
725287943145057588710 ~2000
725294677435176806310 ~2001
725334383145066876710 ~2000
725348423145069684710 ~2000
7253587071885932638311 ~2003
725405711145081142310 ~2000
7254210971160673755311 ~2002
725423579145084715910 ~2000
7254253811595935838311 ~2003
725436191145087238310 ~2000
725440013435264007910 ~2001
725449871145089974310 ~2000
725465423145093084710 ~2000
7254773511305859231911 ~2003
725519159145103831910 ~2000
725538221580430576910 ~2002
725574599145114919910 ~2000
725606939145121387910 ~2000
725617559145123511910 ~2000
725628779145125755910 ~2000
725631197435378718310 ~2001
7256350392467159132711 ~2003
Exponent Prime Factor Digits Year
725636291145127258310 ~2000
725658551145131710310 ~2000
725731151145146230310 ~2000
725749919145149983910 ~2000
725774969580619975310 ~2002
725785799145157159910 ~2000
725794763145158952710 ~2000
725802359145160471910 ~2000
725809241435485544710 ~2001
725831471145166294310 ~2000
725840051145168010310 ~2000
725883167580706533710 ~2002
725897437435538462310 ~2001
725904083145180816710 ~2000
725904719145180943910 ~2000
7259134071306644132711 ~2003
725920463145184092710 ~2000
725927003145185400710 ~2000
725938679145187735910 ~2000
725974589580779671310 ~2002
725979311145195862310 ~2000
726020753435612451910 ~2001
726055769580844615310 ~2002
726073259145214651910 ~2000
726089891145217978310 ~2000
Exponent Prime Factor Digits Year
726111443145222288710 ~2000
726113603145222720710 ~2000
7261257973485403825711 ~2004
726127079145225415910 ~2000
726150083145230016710 ~2000
726159713435695827910 ~2001
726184799145236959910 ~2000
726201779145240355910 ~2000
726207959145241591910 ~2000
726219743145243948710 ~2000
7262238311161958129711 ~2002
726263123145252624710 ~2000
726270059145254011910 ~2000
726287363145257472710 ~2000
726291491145258298310 ~2000
726312263145262452710 ~2000
726333557435800134310 ~2001
726342299145268459910 ~2000
726343883145268776710 ~2000
726359363145271872710 ~2000
72640215112203556136912 ~2005
726411659145282331910 ~2000
726414817435848890310 ~2001
7264676171162348187311 ~2002
7264778031888842287911 ~2003
Exponent Prime Factor Digits Year
7265033531598307376711 ~2003
726515171145303034310 ~2000
726521483145304296710 ~2000
726532139145306427910 ~2000
72653917112787089409712 ~2005
726555983145311196710 ~2000
726573959145314791910 ~2000
726595451145319090310 ~2000
7266401471307952264711 ~2003
726660607726660607110 ~2002
726676243726676243110 ~2002
726684323145336864710 ~2000
726708179145341635910 ~2000
726781403145356280710 ~2000
726782333436069399910 ~2001
726783059145356611910 ~2000
726794477436076686310 ~2001
72688148376322555715112 ~2007
726921911581537528910 ~2002
726931451145386290310 ~2000
726948581436169148710 ~2001
726948923145389784710 ~2000
726951119145390223910 ~2000
726972677581578141710 ~2002
726977483145395496710 ~2000
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25-11-02