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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
20566631411332638 ~1988
205667393702013039 ~1990
20567231411344638 ~1988
205677131234062799 ~1989
20568683411373678 ~1988
20568731411374638 ~1988
20568959411379198 ~1988
20569403411388078 ~1988
205701771234210639 ~1989
20570351411407038 ~1988
20571443411428878 ~1988
20571503411430078 ~1988
20571779411435598 ~1988
20572151411443038 ~1988
20572199411443998 ~1988
20572379411447598 ~1988
20572451411449038 ~1988
20572523411450478 ~1988
20573159411463198 ~1988
20573291411465838 ~1988
20573303411466078 ~1988
20573411411468238 ~1988
20573471411469438 ~1988
205735377817944079 ~1991
205736874937684899 ~1991
Exponent Prime Factor Digits Year
20573711411474238 ~1988
20573951411479038 ~1988
205742411234454479 ~1989
20574551411491038 ~1988
20574611411492238 ~1988
205746771234480639 ~1989
20575403411508078 ~1988
20575463411509278 ~1988
20575631411512638 ~1988
20575991411519838 ~1988
20578199411563998 ~1988
20578511411570238 ~1988
20579291411585838 ~1988
20579711411594238 ~1988
20581019411620398 ~1988
20581091411621838 ~1988
20581259411625198 ~1988
20581499411629998 ~1988
20581559411631198 ~1988
20581703411634078 ~1988
20581811411636238 ~1988
20581871411637438 ~1988
20581919411638398 ~1988
20582183411643678 ~1988
20582483411649678 ~1988
Exponent Prime Factor Digits Year
20582759411655198 ~1988
20583071411661438 ~1988
20583323411666478 ~1988
20583383411667678 ~1988
205840131235040799 ~1989
205843011235058079 ~1989
20584631411692638 ~1988
20585063411701278 ~1988
205853811646830499 ~1990
20585651411713038 ~1988
20585843411716878 ~1988
20585879411717598 ~1988
205863591646908739 ~1990
20587631411752638 ~1988
20587661164701288110 ~1992
205884611235307679 ~1989
20588891411777838 ~1988
205890172882462399 ~1990
20589251411785038 ~1988
205892511647140099
20589323411786478 ~1988
205893411235360479 ~1989
205894971647159779 ~1990
20589911411798238 ~1988
20589923411798478 ~1988
Exponent Prime Factor Digits Year
20590103411802078 ~1988
205901771235410639 ~1989
20590211411804238 ~1988
20590631411812638 ~1988
20590931411818638 ~1988
20591159411823198 ~1988
20591243411824878 ~1988
20591339411826798 ~1988
20591723411834478 ~1988
205918971235513839 ~1989
205924131235544799 ~1989
205927392059273919 ~1990
205933331235599999 ~1989
20593403411868078 ~1988
20593619411872398 ~1988
20593883411877678 ~1988
20594159411883198 ~1988
20594543411890878 ~1988
20594663185351967110 ~1992
20594923494278152110 ~1993
20594963411899278 ~1988
20595359411907198 ~1988
20595871218316232710 ~1992
205962115355014879 ~1991
20596259411925198 ~1988
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