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RE: [PrimeNumbers] Re: Andrica

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  • Jon Perry
    ... Andrica conjectures that q - p
    Message 1 of 2 , Aug 3, 2002
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      >>>Let p and q be successive primes.
      Andrica conjectures that
      q - p < sqrt(q) + sqrt(p)
      whereas Tschebysheff proved merely that
      q - p < p
      which is far weaker.<<<

      Andrica's conjecture doesn't seem very tight compared to the two:

      x^2 < p < (x+1)^2

      x^2 < p < x^2 + x

      Andrica's conjecture looks comparable to the first one.

      Can it be tightened?

      Jon Perry
      BrainBench MVP for HTML and JavaScript
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