radical of an integer

Given a natural numberMathworldPlanetmath n, let n=p1α1pkαk be its unique factorizationMathworldPlanetmath as a productPlanetmathPlanetmath of distinct prime powers. Define the of n, denoted rad(n), to be the product p1pk. The radicalPlanetmathPlanetmathPlanetmath of a square-free number is itself.

Title radical of an integer
Canonical name RadicalOfAnInteger
Date of creation 2013-03-22 11:45:21
Last modified on 2013-03-22 11:45:21
Owner KimJ (5)
Last modified by KimJ (5)
Numerical id 12
Author KimJ (5)
Entry type Definition
Classification msc 13A10
Classification msc 81-00
Classification msc 18-00
Synonym square-free part
Related topic RadicalOfAnIdeal
Related topic PowerOfAnInteger
Defines radical