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17736symmetrical primes

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  • Mark Underwood
    Mar 11, 2006
      Hi all,

      Six primes are symmetrically arranged around the number 12:
      5, 7, 11, (12) 13, 17, 19.

      Six primes are also symmtrically arranged around the number 15:
      7, 11, 13, (15) 17, 19, 23.

      Ten primes are symmetrically arranged around the number 30:
      13, 17, 19, 23, 29, (30) 31, 37, 41, 43, 47.

      Twelve primes are symmetrically arranged around the number 165:
      137, 139, 149, 151, 157, 163, (165) 167, 173, 179, 181, 191, 193.

      I looked up to 100,000 primes there are six cases of twelve primes
      symmetrically arranged around a central number. Found nothing higher.
      When is the first case of a symmetrical grouping of more than twelve
      primes?

      Mark
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