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21521Re: [PrimeNumbers] symmetrical k-tuplets

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  • Jens Kruse Andersen
    May 31, 2010
      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
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