2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78099A famous problem posed by Diophantus was to find sets of distinct positive rational numbers such that the product of any two is one less than a rational square. Some sets of six such numbers are presented and the computational algorithm used to find them is described. A classification of quadruples and quintuples with examples and statistics is also given.Number Theorytext