This category contains results about Quadratic Residues.
Definitions specific to this category can be found in Definitions/Quadratic Residues.

Let $p$ be an odd prime.

Let $a \in \Z$ be an integer such that $a \not \equiv 0 \pmod p$.

Then $a$ is a quadratic residue of $p$ if and only if $x^2 \equiv a \pmod p$ has a solution.

That is, if and only if:

$\exists x \in \Z: x^2 \equiv a \pmod p$

## Subcategories

This category has the following 4 subcategories, out of 4 total.

## Pages in category "Quadratic Residues"

The following 4 pages are in this category, out of 4 total.