Prove that every prime number other than 2, can be expressed as a difference of two squares.

- Princeton Math Club Website

p = p x 1 = [p] x [1] =
[p + p / 2] x [p - p + 1] =
[p+1+p-1 / 2] x [p - p + 2 / 2] =
[p+1/2 + p-1/2] x [p+1/2 - p-1/2] =
[a + b] x [a - b] =
a² - b²

Posted by Cheradenine on 2002-11-19 05:28:34