The spectrum of single-frequency quasiperiodic Schrödinger operators with analytic potentials is known to be a Cantor set. Chulaevsky and Sinai conjectured that the spectrum of multi-frequency quasiperiodic Schrödinger operators is an interval for generic large potentials. I will discuss a proof of the Chulaevsky-Sinai conjecture based on joint work with M. Goldstein and W. Schlag.