Taniyama's problems

Taniyama's problems are a set of 36 mathematical problems posed by Japanese mathematician Yutaka Taniyama in 1955. The problems primarily focused on algebraic geometry, number theory, and the connections between modular forms and elliptic curves. Taniyama's twelfth and thirteenth problems were the precursor to the Taniyama–Shimura conjecture, also known as the modularity theorem, which would be used in Andrew Wiles' proof of Fermat's Last Theorem in 1995.