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Re: [PrimeNumbers] Re: Prize Puzzles : Two more Primality Conjectures

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  • Phil Carmody
    ... [snip] ... Nowhere is it specified that n is maximal. Of course, it s underspecified if you don t assume that, but all that means is that the problem s
    Message 1 of 5 , Oct 6, 2008
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      --- On Mon, 10/6/08, Mike Oakes <mikeoakes2@...> wrote:
      > --- In primenumbers@yahoogroups.com, "aldrich617" wrote:
      > > Let A(x) = 5x^2 - 5x +1
      > > with K > 3,
      > > and n or p denoting the number of terms in a sequence.
      > >
      > > For any value of K first find the sum of the
      > consecutive integers
      > > K1 + K2.....+ Kn = S such that Kn < (3K -1)/2.
      [snip]

      > Proof of Conjecture 1):
      >
      > If K is even, n = K/2.
      > If K is odd, n = (K-1)/2.

      Nowhere is it specified that n is maximal. Of course, it's underspecified if you don't assume that, but all that means is that the problem's underspecified.

      Phil
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