Definition:Pythagorean Equation

The Pythagorean equation is the Diophantine equation:
 * $$x^2 + y^2 = z^2$$

where $$x, y, z$$ are integers such that $$x, y, z > 0$$.

Solutions of this equation are known as Pythagorean triples.

See Primitive Solutions of Pythagorean Equation.