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11594 digit cousin prime pair

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  • Ken Davis
    Hi All, A gigantic cousin pair (to go with the sexy pair) ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+1
    Message 1 of 3 , May 8, 2009
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      Hi All,

      A gigantic cousin pair (to go with the sexy pair)

      ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+1
      ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+5

      with 11594 digitS

      Primality testing ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+1 [N-1, Brillhart-Lehmer-Selfridge]
      Running N-1 test using base 2
      Calling Brillhart-Lehmer-Selfridge with factored part 33.32%
      Proof incomplete rerun with -x41241
      ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+1 is PRP! (19.4720s+0.0029s)

      rerunning as instructed yields

      Primality testing ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+1 [N-1, Brillhart-Lehmer-Selfridge]
      Running N-1 test using base 2
      Calling Brillhart-Lehmer-Selfridge with factored part 33.32%
      1/41240
      8193/41240
      16385/41240
      24577/41240
      32769/41240
      40961/41240
      ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+1 is prime! (30.4132s+0.0024s)


      Primality testing ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+5 [N-1/N+1, Brillhart-Lehmer-Selfridge]
      Running N-1 test using base 9007
      Running N+1 test using discriminant 9013, base 1+sqrt(9013)
      Running N+1 test using discriminant 9013, base 2+sqrt(9013)
      Calling N+1 BLS with factored part 33.34% and helper 0.01% (100.02% proof)
      ((8907956*35+16)*587502*9001#*(587502*9001#+1)+210)*(587502*9001#-1)/35+5 is prime! (279.4887s+0.0025s)

      Cheers
      Ken
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