%0 Journal Article %T Some Rational Diophantine Sextuples %A Philip Gibbs %J Mathematics %D 1999 %I arXiv %X A 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. %U http://arxiv.org/abs/math/9902081v1