Find a square number x^2 such that, when a given integer h is added or subtracted, new square numbers are obtained so that x^2 + h = a^2 and x^2 - h = b^2. This problem was posed by the mathematicians Théodore and Jean de Palerma in a mathematical tournament organized by Frederick II in Pisa in 1225.

concordant form | congruent number | congruum | square number