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Primes of the type ax^2+bx+c

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  • Juan Ignacio Casaubon
    Hi Euler (1772) x^2-x+41 is prime for x from 0 to 40 Legendre (1798) x^2+x+41 is prime for x from 0 to 39 Chaffey (2003) 2x^2-88x+997 is prime for x from 0 to
    Message 1 of 1 , Feb 3, 2004
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      Hi

      Euler (1772)

      x^2-x+41 is prime for x from 0 to 40

      Legendre (1798)

      x^2+x+41 is prime for x from 0 to 39

      Chaffey (2003)

      2x^2-88x+997 is prime for x from 0 to 50

      Hartley (2003)

      2t^2-112t+1597 is prime for x from 0 to 56 (same as Chafey using

      x = t - 6 ) i.e. Chaffey for a few negative values of x

      The question: One can stablish a Theorem?

      a x^2 + b x + c is prime for x from 0 to N, taken a(N), b(N), c(N)

      bye

      Ignacio



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