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AP with titanic tau

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  • djbroadhurst
    In the event, it took only a couple of CPUseconds to generate an equal-tau AP with titanic tau=O(10^1500), a la Fermat. Only the 12th prime of type 4*n+1
    Message 1 of 1 , Jan 28, 2002
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      In the event, it took only a couple of CPUseconds
      to generate an equal-tau AP with titanic
      tau=O(10^1500), a la Fermat.

      Only the 12th prime of type 4*n+1
      needed increasing, from 101 to 109:

      ? {if(2*(5*13*17*29*37*41*53*61*73*89*97*109)^2
      ==6856622175809931001^2+13641617678949079007^2,
      print(ok))}
      ok

      with Pfgw proving the primality of this pair:

      Primality testing 6856622175809931001
      [N-1/N+1, Brillhart-Lehmer-Selfridge]
      Calling N-1 BLS with factored part 46.77%
      and helper 1.61% (145.16% proof)
      6856622175809931001 is prime!

      Primality testing 13641617678949079007
      [N-1/N+1, Brillhart-Lehmer-Selfridge]
      Calling N+1 BLS with factored part 100.00%
      and helper 23.81% (326.98% proof)
      13641617678949079007 is prime!
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