Definition:Coprime Residue Class

Definition
Let $m \in \Z: m \ge 1$.

Let $a \in \Z$ such that:
 * $a \perp m$

where $\perp$ denotes that $a$ is prime to $m$.

Let $\left[\!\left[{a}\right]\!\right]_m$ be the residue class of $a$ (modulo $m$):
 * $\left\{ {x \in \Z: \exists k \in \Z: x = a + k m}\right\}$

Then $\left[\!\left[{a}\right]\!\right]_m$ is referred to as a coprime residue class.

Also known as
A coprime residue class is also known as a relatively prime residue class.