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22247Re: [PrimeNumbers] Re: primes between squares calcs

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  • Paul Leyland
    Dec 12, 2010
      On Sun, 2010-12-12 at 10:13 +0000, Aldrich wrote:
      > However the pattern of these gaps can be very uneven and I believe
      > that
      > it HAS been proven that the gap between primes can be arbitrarily
      > large. This does not disprove Legendre's conjecture - probably

      The proof is trivial. For prime p, all integers n s.t.
      p!+1 < n <= p!+p are divisible by at least one prime <= p and p can be
      taken arbitrarily large.

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