Definition:Odd Integer

Definition
Let $n \in \Z$, i.e. let $n$ be an integer.

Then $n$ is odd if it is not divisible by $2$, i.e. if it is not even.

More precisely, $n$ is odd if there exists some integer $x$, such that $n = 2x + 1$.

The first few non-negative odd numbers are:
 * $1, 3, 5, 7, 9, 11, \ldots$

Also see

 * Definition:Even Integer