Pythagorean n-tuple

Let n3 be an integer. A Pythagorean n-tuple is an n-tuple of integers (x1,,xn) for which


It is said to be if gcd(x1,,xn)=1.

If n=3 the 3-tuple is called a Pythagorean triplet or Pythagorean triple.

Title Pythagorean n-tuple
Canonical name PythagoreanNtuple
Date of creation 2013-03-22 16:55:58
Last modified on 2013-03-22 16:55:58
Owner Mathprof (13753)
Last modified by Mathprof (13753)
Numerical id 7
Author Mathprof (13753)
Entry type Definition
Classification msc 11-00
Defines primitive Pythagorean n-tuple