Pairing Powers of Pythagorean Pairs

Lorenz Halbeisen, Norbert Hungerbühler, Arman Shamsi Zargar

A pair $(a,b)$ of positive integers is a pythagorean pair if $a^2+b^2$ is a square. A pythagorean pair $(a,b)$ is called a pythapotent pair of degree $h$ if there is another py…