Prove that every positive integer greater than 2 is part of a at least one Pythagorean triple. (Hint: let n be an integer with n>2. If n is odd, consider the triple n, (1/2)((n^2)-1), (1/2)((n^2)+1); if n is even, consider the triple n, ((n^2)/4)-1, ((n^2)/4 +1))