A simple solution.
French mathematician Pierre de Fermat wrote a statement around 1.637 A.D. that said “...no three positive integers a, b and c satisfy the equation a ⁿ + b ⁿ = c ⁿ for any integer value of n greater than 2” . The exceptions are the trivial solutions (0, 1, 1) , (1, 0, 1) and (0, 0, 0) , of course. The cases n=1 and n=2 have been known since antiquity to have infinitely many solutions (Wikipedia dixit). Fermat didn’t write proof of his statement because, apparently, there was not enough blank space left in the page to do it . Wait, what? In 1995 (more than 350 years later) mathematician Andrew Wiles (with the help of his colleague Richard Taylor) proved Fermat’s statement in a published article… The first complete, valid proof of that sta...