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New AP15 record

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  • mikeoakes2
    Here is a new AP15 record at 54 digits:- (237375311+118560155*n)*109#+1 is prime for n=0..14 All confirmed prime with PFGW -tc Input/output statistics:-
    Message 1 of 2 , Sep 24, 2009
      Here is a new AP15 record at 54 digits:-

      (237375311+118560155*n)*109#+1 is prime for n=0..14

      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: 3.94*10^8
      PRP's found by PFGW: 140,719,122
      AP14's found: 4
      AP15's found: 1

      Run-time statistics:-
      NewPGen: 2 GHz-hrs
      PFGW: 3 GHz-days
      Pascal program to find AP's: 106 GHz-days

      The AP15 came after only 4 AP14's had been found, which was about 4 times sooner than anticipated.

      Note that, as n increases, the effort required to find the millions of PRPs is dwarfed by that needed to find a single APn.
      Even for n as small as 15, the former is typically about 1% of the latter.

      -Mike Oakes
    • Jens Kruse Andersen
      ... Congratulations on beating the only surviving record from the 2005 creation of http://users.cybercity.dk/~dsl522332/math/aprecords.htm -- Jens Kruse
      Message 2 of 2 , Sep 24, 2009
        Mike Oakes wrote:
        > Here is a new AP15 record at 54 digits:-
        >
        > (237375311+118560155*n)*109#+1 is prime for n=0..14

        Congratulations on beating the only surviving record from the 2005 creation of
        http://users.cybercity.dk/~dsl522332/math/aprecords.htm

        --
        Jens Kruse Andersen
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