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7009 digit AP5

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  • Ken Davis
    Hi All 82751511*16229#+n*20333209*16229#+1 (n=0-4) describes an AP5 of primes sieved n=10000000-15000000 17742343 tests 52888 prps 739001 ap3 s 528 ap4 s 0
    Message 1 of 2 , Mar 4, 2009
      Hi All

      82751511*16229#+n*20333209*16229#+1 (n=0-4) describes an AP5 of primes

      sieved n=10000000-15000000
      17742343 tests
      52888 prps
      739001 ap3's
      528 ap4's
      0 ap5'
      extended the 528 ap4's (up and down)gave 275 chances, no ap5's
      Currently testing the extended Ap3's
      Low gave 247373 chances of an extendable ap4
      High gave 245056 chances of an extendable ap4
      at 23585 into the low chances 82751511 yielded this result.

      cheers
      Ken
      p.s. Hopefully I'll get a few more


      Primality testing 82751511*16229#+1 [N-1, Brillhart-Lehmer-Selfridge]
      Running N-1 test using base 2
      Calling Brillhart-Lehmer-Selfridge with factored part 33.34%
      82751511*16229#+1 is prime! (45.1713s+0.0049s)
      Primality testing 103084720*16229#+1 [N-1, Brillhart-Lehmer-Selfridge]
      Running N-1 test using base 16249
      Calling Brillhart-Lehmer-Selfridge with factored part 33.37%
      103084720*16229#+1 is prime! (42.3828s+0.0042s)
      Primality testing 123417929*16229#+1 [N-1, Brillhart-Lehmer-Selfridge]
      Running N-1 test using base 3
      Calling Brillhart-Lehmer-Selfridge with factored part 33.37%
      123417929*16229#+1 is prime! (40.6010s+0.0041s)
      Primality testing 143751138*16229#+1 [N-1, Brillhart-Lehmer-Selfridge]
      Running N-1 test using base 2
      Calling Brillhart-Lehmer-Selfridge with factored part 33.33%
      143751138*16229#+1 is prime! (40.4721s+0.0040s)
      Primality testing 164084347*16229#+1 [N-1, Brillhart-Lehmer-Selfridge]
      Running N-1 test using base 7
      Calling Brillhart-Lehmer-Selfridge with factored part 33.36%
      164084347*16229#+1 is prime! (40.2943s+0.0038s)
    • Jens Kruse Andersen
      ... Congratulations! http://users.cybercity.dk/~dsl522332/math/aprecords.htm#records is updated. Ken now has the AP4 to AP7 records. -- Jens Kruse Andersen
      Message 2 of 2 , Mar 4, 2009
        Ken Davis wrote:
        > 82751511*16229#+n*20333209*16229#+1 (n=0-4) describes an AP5 of primes

        Congratulations!
        http://users.cybercity.dk/~dsl522332/math/aprecords.htm#records is updated.
        Ken now has the AP4 to AP7 records.

        --
        Jens Kruse Andersen
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