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Re: [PrimeNumbers] Significance of individual digits in prime likeliness...

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  • Jens Kruse Andersen
    ... It looks a little better at http://tech.groups.yahoo.com/group/primenumbers/message/25322 than in the mail. It s still cryptic without an explanation but I
    Message 1 of 3 , Jul 31, 2013
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      mgmutch wrote:
      > 4 1 0 1 0 0 0 0
      > 0 0 3001

      It looks a little better at
      http://tech.groups.yahoo.com/group/primenumbers/message/25322
      than in the mail. It's still cryptic without an explanation but I figured
      out what it shows. I didn't figure out any significance though.

      The count of each digit in a prime is given. It assumes 6-digit
      primes with leading 0's allowed and counted, but not written.

      "4 1 0 1 0 0 0 0 0 0 3001" means the prime 3001 has 4 '0'
      (when written as 003001 with 6 digits), 1 '1', 0 '2', 1 '3', 0 '4',
      0 '5', 0 '6', 0 '7', 0 '8', 0 '9'.

      For unknown reasons, the primes appear to be sorted in reverse
      lexicographical order of their digit counts. Primes with the same
      digit count like {31, 3001, 13, 103, 100003} are also sorted
      internally in reverse lexicographical order (without assuming
      leading 0's in the sorting).

      --
      Jens Kruse Andersen
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