The Primitive Cuboids with Natural Edges and Diagonals According to Catalan and Sierpinski
Werner Hürlimann · SSRN Electronic Journal · 2002
Based on the three-parameter solution in natural numbers of the four squares equation by Sierpinski(1962) and an identity by Catalan(1885), we determine in two different ways the set of all primitive solutions to this equation. The obtained algorithms are illustrated with lists of the first primitive solutions.