Define the Harmonic Mean of the Divisors of
where
is the Tau Function (the number of Divisors of
). If
is a Perfect
Number,
is an Integer. Ore conjectured that if
is Odd, then
is not an Integer. This
implies that no Odd Perfect Numbers exist.
See also Harmonic Divisor Number, Harmonic Mean, Perfect Number, Tau Function
© 1996-9 Eric W. Weisstein
1999-05-26