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Re: AP3

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  • djbroadhurst
    N = 71*2^515886 - 907*2^338934 + 1 is the third in an arithmetic progression of primes. Steven Harvey used OpenPFGW to prove the primality of A = 71*2^515885 +
    Message 1 of 8 , Apr 20, 2010
      N = 71*2^515886 - 907*2^338934 + 1
      is the third in an arithmetic progression of primes.

      Steven Harvey used OpenPFGW to prove the primality of
      A = 71*2^515885 + 1
      http://primes.utm.edu/primes/page.php?id=83016
      B = 907*2^338934 + 1
      http://primes.utm.edu/primes/page.php?id=84313
      and I used OpenPFGW to prove the primality of
      N = 2*A - B, at 155300 decimal digits:
      Running N-1 test using base 3
      Calling Brillhart-Lehmer-Selfridge with factored part 65.70%
      71*2^515886-907*2^338934+1 is prime! (3862.6514s+0.0068s)

      David Broadhurst, 20 April 2010
    • Jens Kruse Andersen
      ... Congratulations on improving your record, this time using two known primes from the same discoverer (by coincidence I guess).
      Message 2 of 8 , Apr 20, 2010
        David Broadhurst wrote:
        > N = 71*2^515886 - 907*2^338934 + 1
        > is the third in an arithmetic progression of primes.
        >
        > Steven Harvey used OpenPFGW to prove the primality of
        > A = 71*2^515885 + 1
        > http://primes.utm.edu/primes/page.php?id=83016
        > B = 907*2^338934 + 1
        > http://primes.utm.edu/primes/page.php?id=84313
        > and I used OpenPFGW to prove the primality of
        > N = 2*A - B, at 155300 decimal digits:

        Congratulations on improving your record, this time using two known
        primes from the same discoverer (by coincidence I guess).
        http://users.cybercity.dk/~dsl522332/math/aprecords.htm is updated.

        --
        Jens Kruse Andersen
      • djbroadhurst
        ... Yes, it was a neat coincidence that Steven gave a double-assist . David
        Message 3 of 8 , Apr 20, 2010
          --- In primeform@yahoogroups.com,
          "Jens Kruse Andersen" <jens.k.a@...> wrote:

          > Congratulations on improving your record, this time using two known
          > primes from the same discoverer (by coincidence I guess).

          Yes, it was a neat coincidence that Steven gave a "double-assist".

          David
        • djbroadhurst
          N = 1185*2^529445 - 1539*2^263359 + 1 is the third in an arithmetic progression of primes. Sascha Dinkel used LLR to prove the primality of A = 1185*2^529444 +
          Message 4 of 8 , Apr 29, 2010
            N = 1185*2^529445 - 1539*2^263359 + 1
            is the third in an arithmetic progression of primes.

            Sascha Dinkel used LLR to prove the primality of
            A = 1185*2^529444 + 1
            http://primes.utm.edu/primes/page.php?id=86584
            Steven Harvey used OpenPFGW to prove the primality of
            B = 1539*2^263359 + 1
            http://primes.utm.edu/primes/page.php?id=78158
            and I used OpenPFGW to prove the primality of
            N = 2*A - B, at 159382 decimal digits:
            Running N-1 test using base 11
            Calling Brillhart-Lehmer-Selfridge with factored part 49.74%
            1185*2^529445-1539*2^263359+1 is prime! (4000.3667s+0.0063s)

            David Broadhurst, 30 April 2010
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