Matthews, KeithRobertson, JohnWhite, Jim2015-12-132015-12-130017-095Xhttp://hdl.handle.net/1885/75902We investigate positive solutions (x,y) of the Diophantine equation x2-(k2+1)y2=k2 that satisfy y < k-1, where k≥ 2. It has been conjectured that there is at most one such solution for a given k.201310.3336/gm.48.2.042015-12-11