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Some philosophy about gaps

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  • Werner D. Sand
    Some philosophy about gaps The fact that the prime numbers are apparently so irregularly distributed is not at the prime numbers, but because of the question.
    Message 1 of 1 , Feb 2, 2007
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      Some philosophy about gaps

      The fact that the prime numbers are apparently so irregularly
      distributed is not at the prime numbers, but because of the question.
      The question about gaps implies an additive nature of the prime
      numbers, but the prime numbers are only multiplicatively defined. Sieve
      of Eratosthenes: As long as there is only multiple of 2, there is no
      problem. But now 2+1=3 comes into play, thus the addition, and thus the
      next prime number. Each prime number p is the beginning of a sequence
      of multiples n*p and result of an addition p=k+1, where k is multiple
      of a prime number < p. There is no space for a question about gaps
      beyond gap = 1; each prime number is a beginning, as the name says.
      There are no gaps between the primes, the primes ARE the gaps – the
      gaps between the non-primes. Each prime number is a gap in the world
      through which the Nothing grins.

      Werner D. Sand
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