mutually coprime

Natural numbers $a_1,a_2,\mathrm{\dots },a_n$ are called mutually coprime if there is no $p\in \mathbb{N}$, $p>1$ with $p|a_i$ for all $i\le n$. By this definition for example $15$, $21$ and $25$ would be mutually coprime though they are not pairwise coprime, because that would that each pair of these numbers is coprime.

Title	mutually coprime
Canonical name	MutuallyCoprime
Date of creation	2013-03-22 14:18:07
Last modified on	2013-03-22 14:18:07
Owner	mathwizard (128)
Last modified by	mathwizard (128)
Numerical id	5
Author	mathwizard (128)
Entry type	Definition
Classification	msc 11-00
Defines	pairwise coprime