MathDB

\boxed{N1}

Let

n

be a positive integer,

g(n)

be the number of positive divisors of

n

of the form

6k+1

and

h(n)

be the number of positive divisors of

n

of the form

6k-1,

where

k

is a nonnegative integer.Find all positive integers

n

such that

g(n)

and

h(n)

have different parity.

N1