Given $p$, $q$ and $$ y^2 \equiv q \bmod p, $$ how to solve for the values of $y$?
I can do it manually with small numbers, but with large numbers is not applicable, since there is a mathematical way, could you please help me in this?
2026-03-29 17:26:58.1774805218
Quadratic Residues, $y^2 \equiv q \bmod p,$
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You should read the quadratic residue articles in Number theory books. Or you can simply google it. Here is some useful links . 12