[math-fun] Puzzle that Fermat posed to Mersenne

According to what I've read, Fermat posed this problem to Mersenne in 1943. This puzzle is intended for people who haven't seen the solution already: Find a primitive Pythagorean triple a^2 + b^2 = c^2 such that both a+b and c are each square numbers. (Please e-mail your answers straight to me so they don't keep others from solving this.) --Dan ________________________________________________________________________________________ It goes without saying that .