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

 * Even Integer