%0 Journal Article %T A note on the number of D(4)-quintuples %A Ba£¿i£¿ %A Ljubica %A Filipin %A Alan %J - %D 2014 %X Sa£¿etak In this paper we will significantly improve the known bound on the number of D(4)-quintuples, illustrating the elegant use of the results the authors proved in [1] together with more efficient way of counting the number of m-tuples that was introduced in [5]. More precisely, we prove that there are at most 7 ¡¤ 10^36 D(4)-quintuples %K Diophantine tuples %K simultaneous Diophantine equations %U https://hrcak.srce.hr/index.php?show=clanak&id_clanak_jezik=188446