An indeterminate equation is an equation that has more than one solutions. Pell’s equation is one of them that is formed as \(x^2 – Py^2 = 1\).

P cannot be a square number. x and y must be integers. Let’s pick out the following Pell’s equation, \(x^2 – 109y^2 = 1\).

The “minimum” pair of the solutions are:
\(x = 158070671986249\) \(y = 15140424455100\)