Pythagorean triple

In mathematics, a Pythagorean triple is a set of three positive integers which satisfy the equation (make the equation work):

This equation is known as  the Diophantine equation, and is related to Pythagoras' theorem.
The lowest Pythagorean triple is [3, 4, 5] because:

 So, 
The next highest triple is [5, 12, 13] then [7, 24, 25], and so on.
There is an infinite number of Pythagorean triples.

A Pythagorean triple always consists of: 

•	all even numbers, or

•	two odd numbers and an even number.

A Pythagorean triple can never be made up of all odd numbers or two even numbers and one odd number.

Category:Number theory
Category:Geometry