Category:Definitions/Quadratic Residues
Jump to navigation
Jump to search
This category contains definitions related to Quadratic Residues.
Related results can be found in Category: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 only the following subcategory.
L
- Definitions/Legendre Symbol (3 P)
Pages in category "Definitions/Quadratic Residues"
The following 5 pages are in this category, out of 5 total.