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Re: quasi-perfect numbers

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  • Maximilian Hasler
    ... nice start. ... forstep(n=3,99,2, sigma(sigma(n^2)) sigma(n^2-1) & print( Yes it is, for n= ,n)) Yes it is, for n=21 Yes it is, for n=63 Yes it is, for
    Message 1 of 10 , Apr 12, 2009
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      --- In primenumbers@yahoogroups.com, "leavemsg1" wrote:
      > >
      > > > sigma(n^2) > (n+1)(n-1)= n^2 -1; taking
      > > > sigma again leads to... sigma(sigma(n^2)) > sigma(n^2 -1);
      > >
      > > sigma isn't increasing
      > the sigma function itself varies...

      nice start.

      > but sigma(sigma(n^2)) isn't ever larger than sig(n^2 -1);

      forstep(n=3,99,2, sigma(sigma(n^2))>sigma(n^2-1) & print("Yes it is, for n=",n))
      Yes it is, for n=21
      Yes it is, for n=63
      Yes it is, for n=75
      Yes it is, for n=93

      > oh well... in for a penny, in for a pound; my chess champion friend
      > said it would probably fall on deaf ears.

      unfortunately not, but I'll soon go thru the effort of the 3 clicks needed on gmail to filter "leavemsg1" directly into the Trash folder.

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