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Re: Shane's p|F(q)

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  • Shane
    The interesting q and p are when they produce a special large factor: Probable conjecture[Shane] If a characteristic factor q, in our list is also the largest
    Message 1 of 3 , Oct 26, 2002
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      The interesting q and p are when they produce a special large factor:

      Probable conjecture[Shane]

      If a characteristic factor q, in our list is also the largest factor
      yet, it divides a Lucas number of the form: L(2^n * p^m)
      p is a prime, n=>0, m=>0, Limits for n,m?


      Here is a list of Lucas indicies, in a progession due to their
      increasing factor size.
      0,2,4,5,7,8,11,13,16,17,19,26,31,37,41,47,53,61,68,71,79,86,113,136,16
      4,172,178,218,229,239,262,278,284,307,313,328,353,373,436,443,458,487,
      503,557,586,613,617,746,751,772....

      These indicies, without the powers of two.
      2,3,7,11,13,17,29,41,43,47,71,89,109,131,139,193,199,229,293,373,487,5
      03,557,613,617,

      I would be highly interested in the density of these primes!
      Fibonacci's have a similar probable form.
      Shane F.
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