MathDB

3

Part of 1976 Miklós Schweitzer

Problems(1)

Miklos Schweitzer 1976_3

Source: number of divisors of n divides n

12/30/2008
Let H H denote the set of those natural numbers for which τ(n) \tau(n) divides n n, where τ(n) \tau(n) is the number of divisors of n n. Show that a) n!∈H n! \in H for all sufficiently large n n, b)H H has density 0 0. P. Erdos
inequalitiesfunctionlogarithmsnumber theory proposednumber theory