# Thinking like a Mathematician: The Beauty of Stuckness

Andrew Wiles proved Fermat’s Last Theorem. This theorem said that if $$a, b, c, d$$ are all positive integers and $$a^d + b^d = c^d$$, then $$d \le 3$$. That is, there are solutions for $$a^1 + b^1 = c^1$$ and $$a^2 + b^2 = c^2$$, but no solutions for any higher power.