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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 14, Pages 2217-2226
doi:10.1155/IJMMS.2005.2217

Nonextendibility of D(−1)-triples of the form {1,10,c}

Alan Filipin

Department of Mathematics, Faculty of Civil Engineering, University of Zagreb, Fra Andrije Ka{c}ića-Mio{s}ića 26, Zagreb 10000, Croatia

Abstract

We prove that there do not exist different positive integers c,d>1 such that the product of any two distinct elements of the set {1,10,c,d} diminished by 1 is a perfect square.