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New AP16 & AP17 records

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  • mikeoakes2
    Here are new AP16 & AP17 records at 42 digits:- (263013824+18107251*n)*83#+1 is prime for n=0..16 All confirmed prime with PFGW -tc Input/output statistics:-
    Message 1 of 3 , Nov 14, 2009
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      Here are new AP16 & AP17 records at 42 digits:-

      (263013824+18107251*n)*83#+1 is prime for n=0..16

      All confirmed prime with PFGW -tc

      Input/output statistics:-
      Numbers tested by NewPGen: 2*10^9
      NewPGen reduced these (by sieving to 50 billion) to: 3.71*10^8
      PRP's found by PFGW: 171,068,264
      AP17's found: 1

      Run-time statistics:-
      NewPGen: 3 GHz-hrs
      PFGW: 36 GHz-hrs
      Pascal program to find AP's: 174 GHz-days

      The aim was to improve the AP16 record.
      However, most remarkably, an AP17 popped up after only 4 AP15's had been found, and before any AP16 at all!
      The Pascal program was killed at this point, which was about 1/3 of the way through its exhaustive search.

      -Mike Oakes
    • djbroadhurst
      ... That is, indeed, rather pleasing. Best regards, David
      Message 2 of 3 , Nov 14, 2009
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        --- In primenumbers@yahoogroups.com,
        "mikeoakes2" <mikeoakes2@...> wrote:

        > an AP17 popped up after only 4 AP15's had been found

        That is, indeed, rather pleasing. Best regards, David
      • Jens Kruse Andersen
        ... Congratulations! http://users.cybercity.dk/~dsl522332/math/aprecords.htm is updated. That AP17 may last a while. I m not trying to retake it. -- Jens Kruse
        Message 3 of 3 , Nov 14, 2009
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          Mike Oakes wrote:
          > Here are new AP16 & AP17 records at 42 digits:-
          >
          > (263013824+18107251*n)*83#+1 is prime for n=0..16

          > The aim was to improve the AP16 record.
          > However, most remarkably, an AP17 popped up after only
          > 4 AP15's had been found, and before any AP16 at all!

          Congratulations!
          http://users.cybercity.dk/~dsl522332/math/aprecords.htm is updated.
          That AP17 may last a while. I'm not trying to retake it.

          --
          Jens Kruse Andersen
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