Nonextendibility of D(−1)-triples of the form
{1,10,c}
Alan Filipin1
Received04 Mar 2005
Revised21 Jun 2005
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.