# positive integers equation

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• May 18th 2008, 09:11 PM
x-creditman
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?
• May 18th 2008, 09:51 PM
kalagota
Quote:

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

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