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Re: [PrimeNumbers] symmetrical k-tuplets

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  • Jens Kruse Andersen
    ... In http://www.math.ethz.ch/~waldvoge/Projects/clprimes03.pdf Jörg Waldvogel and Peter Leikauf studied the pattern of 16 primes n +/- {17; 19; 23; 29; 31;
    Message 1 of 4 , May 31 2:57 PM
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      Andrey Kulsha wrote:
      > I propose a symmetrical cluster of 18 primes:
      >
      > 30030k + {1; 17; 19; 23; 29; 31; 37; 41; 43}

      In http://www.math.ethz.ch/~waldvoge/Projects/clprimes03.pdf
      Jörg Waldvogel and Peter Leikauf studied the pattern of 16 primes
      n +/- {17; 19; 23; 29; 31; 37; 41; 43}

      An exhaustive search to 5*10^22 found 94 occurrences with n-43
      listed on page 14. There are 6 cases where either n-1 or n+1 is
      also prime but none where they both are.
      The first case is n-43 = 3741636047391669917447 where n-1 is prime.
      n-47 also happens to be prime, but not n+1.

      --
      Jens Kruse Andersen
    • taorres
      You may want to take a look at: youtube.com/watch?v=ZbC4k5o6kzc Using that method until you get seeds that meet your 30030k + {1; 17; 19; 23; 29; 31; 37;
      Message 2 of 4 , Jun 1, 2010
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        You may want to take a look at: youtube.com/watch?v=ZbC4k5o6kzc

        Using that method until you get "seeds" that meet your "30030k + {1; 17; 19; 23; 29; 31; 37; 41; 43}" criteria would then let you jump directly to all relative primes that have the same pattern pattern.
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