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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
725974589580779671310 ~2002
725979311145195862310 ~2000
726020753435612451910 ~2001
726055769580844615310 ~2002
726073259145214651910 ~2000
726089891145217978310 ~2000
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
Exponent Prime Factor Digits Year
726359363145271872710 ~2000
72640215112203556136912 ~2005
726411659145282331910 ~2000
726414817435848890310 ~2001
7264676171162348187311 ~2002
7264778031888842287911 ~2003
7265033531598307376711 ~2003
726515171145303034310 ~2000
726521483145304296710 ~2000
726532139145306427910 ~2000
72653917112787089409712 ~2005
726555983145311196710 ~2000
726573959145314791910 ~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
Exponent Prime Factor Digits Year
726948581436169148710 ~2001
726948923145389784710 ~2000
726951119145390223910 ~2000
726972677581578141710 ~2002
726977483145395496710 ~2000
727027331145405466310 ~2000
727042703145408540710 ~2000
7270918212181275463111 ~2003
727121711145424342310 ~2000
7271780413345018988711 ~2004
727180931145436186310 ~2000
727191623145438324710 ~2000
727194659145438931910 ~2000
7272117672908847068111 ~2003
727215971145443194310 ~2000
727240571145448114310 ~2000
7272537531018155254311 ~2002
727254763727254763110 ~2002
727278659145455731910 ~2000
727313183145462636710 ~2000
727324943145464988710 ~2000
727331303145466260710 ~2000
727340599727340599110 ~2002
727342787581874229710 ~2002
727372199145474439910 ~2000
Exponent Prime Factor Digits Year
727386251145477250310 ~2000
727414151145482830310 ~2000
727441919145488383910 ~2000
727481831145496366310 ~2000
727527851145505570310 ~2000
727538303145507660710 ~2000
727556783145511356710 ~2000
727557121436534272710 ~2001
7275679131018595078311 ~2002
727626161582100928910 ~2002
727630949582104759310 ~2002
727673099145534619910 ~2000
727703051145540610310 ~2000
727766497436659898310 ~2001
727786883145557376710 ~2000
727801391145560278310 ~2000
7278045291018926340711 ~2002
727817641436690584710 ~2001
727837079145567415910 ~2000
727871999145574399910 ~2000
7278786011601332922311 ~2003
727890617436734370310 ~2001
727896173436737703910 ~2001
727903703145580740710 ~2000
727916963145583392710 ~2000
3444
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25-07-20