Talk:Parity of Integer equals Parity of its Square

Should we prove that all integers are either even or odd? Or have we already done that? --Cynic (talk) 15:56, 21 August 2009 (UTC)

We probably ought to have it. I think it may have emerged in passing when discussing modulo arithmetic, but I'm not sure whether there's an actual page specifying it. Sorry, I needed the Root 2 Irrational page to refer to on Math Help Forum and decided it needed tidying, but didn't have the time to finish that detail off at the time. --Matt Westwood 18:26, 21 August 2009 (UTC)