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floor(i*x) prime for i=1,2,...,n

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  • Chris Caldwell
    Consider the number x=5.8. The integer part of n*x, floor(n*x), is prime for n = 1, 2, 3, 4 and 5. (The primes are 5, 11, 17, 23 and 29.) If x =
    Message 1 of 1 , Aug 15 8:57 PM
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      Consider the number x=5.8. The integer part of n*x,
      floor(n*x), is prime for n = 1, 2, 3, 4 and 5. (The
      primes are 5, 11, 17, 23 and 29.) If

      x = 407874179.888888...

      then we have primes for n = 1 through 9. Dickson's
      conjecture suggest there ought to be x's which
      produce arbitrarily long strings of primes. Does
      anyone know what the current record is?

      CC


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