Pell's equation

《初等数论》 · 第 362 页

通常这类方程称为 Pell 方程，满足 $x>0$，$y>0$ 的解称为正解。

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《LECTURE NOTES IN ANALYSIS (2011)》 · 第 351 页 · Section 7.8「Pell's Equation」

The equation $x^2-dy^2=N$, with given integers $d$ and $N$ and unknowns $x$ and $y$, is usually called Pell's equation. The most interesting case of the equation arises when $d$ is a positive integer not a perfect square.