Quadratic Residue/Examples/11

Example of Quadratic Residues
Let $p = 11$.

To list the quadratic residues of $11$ it is enough to work out the squares $1^2, 2^2, \ldots, 10^2$ modulo $11$.

So the quadratic residues of $11$ are $1, 3, 4, 5, 9$.

The quadratic non-residues of $11$ are therefore all the other non-zero least positive residues, that is, $2, 6, 7, 8, 10$.