264. Solve the equation $x^{2}-2 y^{2}=2$ in integers.
264. From the equation, it is clear that $x$ is an even number. Let $x=2 x_{1}$, we get $2 x_{1}^{2}-y^{2}=1, y^{2}-2 x_{1}^{2}=-1$, i.e., the Pell's equation.

Answer. $(2,1),(10,7),(58,41),(338,239)$ and others.