Baćić, Ljubica; Filipin, Alan On the extensibility of \(D(4)\)-pair \(\{ k-2, k+2\}^*\). (English) Zbl 1360.11057 J. Comb. Number Theory 5, No. 3, 181-197 (2013). Summary: In this paper we prove that if \(k\geq 3\), \(c\), and \(d\) are positive integers with \(c<d\) and the set \(\{k-2, k+2, c, d\}\) has the property that the product of any of its distinct elements increased by 4 is a perfect square, then \(d\) is uniquely determined. Cited in 5 Documents MSC: 11D09 Quadratic and bilinear Diophantine equations 11D79 Congruences in many variables 11J86 Linear forms in logarithms; Baker’s method Keywords:extensibility PDFBibTeX XMLCite \textit{L. Baćić} and \textit{A. Filipin}, J. Comb. Number Theory 5, No. 3, 181--197 (2013; Zbl 1360.11057)