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Re: n^n+ (n+1)^(n+1)

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  • djbroadhurst
    ... Courage, mon brave: the proof is fine. ... It does when n = 1 :-) David
    Message 1 of 48 , Sep 6, 2009
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      --- In primenumbers@yahoogroups.com,
      "mikeoakes2" <mikeoakes2@...> wrote:

      > I believe the Lemma, but not my proof

      Courage, mon brave: the proof is fine.

      > 19 does not divide (12*n^2+6*n+1)

      It does when n = 1 :-)

      David
    • djbroadhurst
      ... This is now a conjecture-free OEIS sequence: http://www.research.att.com/~njas/sequences/A165284 David
      Message 48 of 48 , Sep 14, 2009
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        --- In primenumbers@yahoogroups.com,
        "djbroadhurst" <d.broadhurst@> wrote:

        > primes p in
        > http://www.research.att.com/~njas/sequences/A068209
        > for which (x+1)^p-x^p-1 and x^x+(x+1)^(x+1)
        > are never simultaneously divisible by p^2.

        This is now a conjecture-free OEIS sequence:
        http://www.research.att.com/~njas/sequences/A165284

        David
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