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17885Re: Cubic x^3 + x^2 + x + t prime generators

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  • Mark Underwood
    Mar 30, 2006
      --- In primenumbers@yahoogroups.com, Phil Carmody <thefatphil@...>
      > Phi's are cyclotomic polynomials. They are the primitive parts of
      the family of
      > polynomials f(x) = x^n-1. Equivalently they are the minimal
      polynomial which
      > vanishes at each of the primitive n-th roots of unity.
      > e.g.
      > Phi(2) = x+1, as -1 is the only primitive 2nd root of unity,
      > Phi(4) = x^2+1, as +/-i are the only two primitive 4th roots of

      Thank you Phil, Jose and Jack for shedding some light on the theory
      and showing some pretty brilliant methodologies to boot. And showing
      the capabilities of GP Pari. I have alot to mull over.

      Robert, k^n-k^(n-1) has of course factors of k so I assume you did a
      typo somewhere?

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