# Thread: positive integers equation

1. ## positive integers equation

Assume a, b and c are positive integers such that c cubed = a squared - b squared, (c^3 = a^2 - b^2). If c is the least odd integer for which this is true, what is the least possible value of b?

2. Originally Posted by x-creditman
Assume a, b and c are positive integers such that c cubed = a squared - b squared, (c^3 = a^2 - b^2). If c is the least odd integer for which this is true, what is the least possible value of b?
let me guess. 1

$2^3 = 3^2 - 1^2$