Definition:Odd Integer/Odd-Times Odd/Definition 2

From ProofWiki
Jump to navigation Jump to search


Let $n \in \Z$ be an integer.

$n$ is odd-times odd if and only if there exist odd numbers $x, y > 1$ such that $n = x y$.

Euclid's Definition

In the words of Euclid:

An odd-times odd number is that which is measured by an odd number according to an odd number.

(The Elements: Book $\text{VII}$: Definition $10$)

Also see