Triplets of positive integers satisfying . Any solution to this equation, and consequently all (possibly after switching only) Pythagorean numbers, can be expressed as , , , where and are positive integers . The Pythagorean numbers can be interpreted as the sides of a right-angled triangle (cf. Pythagoras theorem).
|[a1]||G.H. Hardy, E.M. Wright, "An introduction to the theory of numbers" , Oxford Univ. Press (1979) pp. Chapt. XIII|
Pythagorean numbers. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pythagorean_numbers&oldid=11647