# Integers

• February 7th 2013, 04:08 PM
chopper07
Integers
How many pairs of positive integers x and y satisfy the equation xy=20132013?
• February 7th 2013, 09:50 PM
Soroban
Re: Integers
Hello, chopper07!

Is there more to the problem?
As given, it's rather silly.

Quote:

$\text{How many pairs of positive integers }x,y\text{ satisfy the equation: }\:x^y\:=\:2013^{2013}\,?$

Answer: one pair . $\begin{Bmatrix}x \:=\:2013 \\ y \:=\:2013\end{Bmatrix}$