This is a 45 minute documentary [Fermat’s Last Theorem (1996)] about Andrew Wiles, who proved Fermat’s Last Theorem in 1994. The theorem was first conjectured by Pierre de Fermat in 1637 and baffled mathematicians for more than 350 years! It states that no three positive integers $x$, $y$, and $z$ can satisfy the equation $x^n+y^n = z^n$ for $n>2$
The proof relied on elliptic curves and modular forms.