Equally spaced squares and some impossible identities
Graham J. O. Jameson · The Mathematical Gazette · 2024
Consecutive squares are, of course, not equally spaced: the gap increases by 2 each time. However, it is quite possible to select three equally spaced squares, for example 1, 25, 49. Actually, such triples correspond to Pythagorean triples in a pleasantly simple way, which we will describe.