MathDB

Maya lists all the positive divisors of

2010^2

. She then randomly selects two distinct divisors from this list. Let

p

be the probability that exactly one of the selected divisors is a perfect square. The probability

p

can be expressed in the form

\frac{m}{n}

, where

m

and

n

are relatively prime positive integers. Find m \plus{} n.

Problem Statement