How can someone solve the negative Pell's equation $x^2-48y^2=-1$? Is there any general solution? Thank you.
2026-04-25 18:44:02.1777142642
Solution of a negative Pell's equation
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If so then $x^2+1$ is divided by $3$, which is impossible.
Indeed, we can consider three cases:
$x=3k$;
$x=3k+1$ and
$x=3k-1$, where $k$ is an integer number.
Easy to see that it's impossible.