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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
664058123132811624710 ~2000
6640599014648419307111 ~2004
664090939664090939110 ~2002
664093019132818603910 ~2000
664095143132819028710 ~2000
664104431132820886310 ~2000
664117871132823574310 ~2000
664136021398481612710 ~2001
6641621533055145903911 ~2003
664173431132834686310 ~2000
664214833398528899910 ~2001
664247219132849443910 ~2000
664261271132852254310 ~2000
664267739132853547910 ~2000
664274837398564902310 ~2001
664286159132857231910 ~2000
664310459132862091910 ~2000
664326251132865250310 ~2000
664334401398600640710 ~2001
664343243132868648710 ~2000
664370639132874127910 ~2000
6643771912126007011311 ~2003
664377457398626474310 ~2001
664385201531508160910 ~2001
664386011132877202310 ~2000
Exponent Prime Factor Digits Year
664397411132879482310 ~2000
664402463132880492710 ~2000
664439591132887918310 ~2000
664442563664442563110 ~2002
664444981398666988710 ~2001
664476311132895262310 ~2000
664489739132897947910 ~2000
664491077930287507910 ~2002
664506263132901252710 ~2000
664510631132902126310 ~2000
664519763132903952710 ~2000
664524703664524703110 ~2002
664539539132907907910 ~2000
664548551132909710310 ~2000
664556831132911366310 ~2000
664557869531646295310 ~2001
664564991132912998310 ~2000
664571903132914380710 ~2000
664588019132917603910 ~2000
664626071132925214310 ~2000
664634161398780496710 ~2001
664650491132930098310 ~2000
664650611132930122310 ~2000
664668793398801275910 ~2001
664669921398801952710 ~2001
Exponent Prime Factor Digits Year
664687619132937523910 ~2000
664705511132941102310 ~2000
664735979132947195910 ~2000
664779539132955907910 ~2000
664779701398867820710 ~2001
664798633398879179910 ~2001
664803793398882275910 ~2001
664808099132961619910 ~2000
6648106331063697012911 ~2002
664810673930734942310 ~2002
664828477398897086310 ~2001
6648369411994510823111 ~2003
664843213398905927910 ~2001
664850183132970036710 ~2000
6648514031595643367311 ~2003
664871813398923087910 ~2001
664879261398927556710 ~2001
664879811132975962310 ~2000
664898219132979643910 ~2000
664901953398941171910 ~2001
664910087531928069710 ~2001
664910801531928640910 ~2001
664948631132989726310 ~2000
664950491132990098310 ~2000
664951439132990287910 ~2000
Exponent Prime Factor Digits Year
664956503132991300710 ~2000
664983037398989822310 ~2001
664990043132998008710 ~2000
664997899664997899110 ~2002
665016041399009624710 ~2001
665018351133003670310 ~2000
665029223133005844710 ~2000
665043059133008611910 ~2000
665048159133009631910 ~2000
665079851133015970310 ~2000
665092271133018454310 ~2000
665106509532085207310 ~2001
665106731133021346310 ~2000
665113523133022704710 ~2000
665134583133026916710 ~2000
6651347114389889092711 ~2004
665135351133027070310 ~2000
665137283133027456710 ~2000
665160193399096115910 ~2001
6651829811064292769711 ~2002
665184323133036864710 ~2000
665187619665187619110 ~2002
665197031133039406310 ~2000
665208779133041755910 ~2000
665221499133044299910 ~2000
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26-05-03