View source for Congruence condition for minus one to be a quadratic residue

← Congruence condition for minus one to be a quadratic residue

Jump to: navigation, search

You do not have permission to edit this page, for the following reason:

The action you have requested is limited to users in the group: emailconfirmed.

You can view and copy the source of this page:

==Statement

Suppose <math>p</math> is an odd prime. Then, <math>-1</math> is a [[quadratic residue]] modulo <math>p</math> if and only if <math>p \equiv 1 \pmod 4</math>. Equivalently, <math>-1</math> is a [[quadratic nonresidue]] modulo <math>p</math> if and only if <math>p \equiv 3 \pmod 4</math>.

Return to Congruence condition for minus one to be a quadratic residue.

Retrieved from "https://number.subwiki.org/wiki/Congruence_condition_for_minus_one_to_be_a_quadratic_residue"