Moreover, by using upper bound of d, corresponding upper bound of number of Diophantine quintuples are obtained, [10.sup.1930], [10.sup.276], [10.sup.96] and 6.8 x [10.sup.32], respectively.
Dujella, There are only finitely many Diophantine quintuples, J.
Fujita, On Diophantine quintuples and D(-1)-quadruples, Monatsh.
Fujita, The number of Diophantine quintuples, Glas.
Moreover, Baker and Davenport [1] proved that the set {1, 3, 8, 120} cannot be extended to a Diophantine quintuple.
In 1997, Dujella [2] proved that the Diophantine triples of the form {k - 1 ,k+ 1, 4k}, for k [greater than or equal to] 2, cannot be extended to a Diophantine quintuple. The Baker-Davenport's result corresponds to k = 2.
If {a, b, c, d, e} is a Diophantine quintuple with a < b < c < d < e, then d < [10.sup.74].
Une primipare, agee de 28 ans, transferee d'urgence de la polyclinique de Boudouaou (Boumerdes) vers l'EHS (Etablissement hospitalier de sante) de gyneco-obstetrique [beaucoup moins que]Sbaihi Tassadit[beaucoup plus grand que] de Tizi-Ouzou, a donne naissance, en milieu de soiree de vendredi dernier, a des
quintuples (4 filles et 1 garcon).
