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