There does not exist a \(D(4)\)-sextuple
A set \(D\) of \(m\) positive integers is called a \(D(n)\)-\(m\)-tuple if for each pair \((a,b)\in D^2\) we have \(ab+n\) is a perfect square. The author uses the methods and ideas introduced in [\textit{A. Dujella}, J. Reine Angew. Math. 566, 183--214 (2004; Zbl 1037.11019)] and obtains the result that there do not exist any \(D(4)\)-sextuples.
scientific article; zbMATH DE number 5285729
scientific article