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found the argument

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  • Bill Bouris
    Hi, Dr. Broadhurst,   I finally found an acceptable argument for why odd-perfect numbers don t exist . check it out! www.oddperfectnumbers.com I posted the
    Message 1 of 2 , Sep 1, 2011
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      Hi, Dr. Broadhurst,
       
      I finally found an acceptable argument for "why
      odd-perfect numbers don't exist". check it out!
      www.oddperfectnumbers.com I posted the final
      draft at 6:15 today, my time (Aurora, IL 60506).
       
      Sincerely, Bill

      [Non-text portions of this message have been removed]
    • djbroadhurst
      ... Bill Bouris wrote:   ... No. Among other things you appear to assume that gcd((p+1)/2,Q^2) = 1 gcd(p,sigma(Q^2))= 1 so you continue to
      Message 2 of 2 , Sep 1, 2011
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        --- In primenumbers@yahoogroups.com,
        Bill Bouris <leavemsg1@...> wrote:
         
        > I finally found an acceptable argument for "why
        > odd-perfect numbers don't exist".

        No. Among other things you appear to assume that
        gcd((p+1)/2,Q^2) = 1
        gcd(p,sigma(Q^2))= 1
        so you continue to ignore Jack's careful tuition:

        p=22021;Q=3003;
        print([gcd((p+1)/2,Q^2),gcd(p,sigma(Q^2))])
        [11011, 22021]

        and mine:

        p=-127;Q=13167;
        print([gcd((p+1)/2,Q^2),gcd(p,sigma(Q^2))])
        [63, 127]

        Wann wird man je verstehn?

        David
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