%0 Journal Article
%T Strong Eulerian triples
%A Dujella
%A Andrej
%A Gusi£¿
%A Ivica
%A Petri£¿evi£¿
%A Vinko
%A Tadi£¿
%A Petra
%J -
%D 2018
%R 10.3336/gm.53.1.03
%X Sa£¿etak We prove that there exist infinitely many rationals a, b and c with the property that \[a^2-1, b^2-1, c^2-1, ab-1, ac-1\] and \[bc-1\] are all perfect squares. This provides a solution to a variant of the problem studied by Diophantus and Euler
%K Eulerian triples
%K elliptic curves
%U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=297041