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New AP6 record

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  • Mike Oakes
    Here is a new AP6 record at 2145 digits:- (36543956+n*6632285)*5003#+1 is prime for n=0..5 All confirmed prime with PFGW -tc Input/output statistics:- Numbers
    Message 1 of 2 , Jul 13, 2009
      Here is a new AP6 record at 2145 digits:-

      (36543956+n*6632285)*5003#+1 is prime for n=0..5

      All confirmed prime with PFGW -tc

      Input/output statistics:-
      Numbers tested by NewPGen: k*5003#+1 for k<=200*10^6
      NewPGen reduced these (by sieving to 2.7T) to: 59.6*10^6
      Numbers checked by PFGW before AP-6 found: 20.3*10^6
      PRP's (AP1's) found by PFGW: 209447
      AP4's: 68855
      AP5's: 175
      AP6's: 0
      One AP6 was found by extending all the AP5's upwards.

      Run-time statistics:-
      NewPGen: 8 GHz-days
      PFGW: 107 GHz-days
      Pascal program to find AP's: 1 GHz-hr

      -Mike Oakes
    • Jens Kruse Andersen
      ... Congratulations on retaking the AP6 and putting a hole in the Ken Davis streak from AP4 to AP10.
      Message 2 of 2 , Jul 13, 2009
        Mike Oakes wrote:
        > Here is a new AP6 record at 2145 digits:-
        >
        > (36543956+n*6632285)*5003#+1 is prime for n=0..5

        Congratulations on retaking the AP6 and putting a hole in
        the Ken Davis streak from AP4 to AP10.
        http://users.cybercity.dk/~dsl522332/math/aprecords.htm#records is updated.

        --
        Jens Kruse Andersen
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