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Characterization of regular Diophantine quadruples

Characterization of regular Diophantine quadruples

A set S of positive integers is said to have a Diophantine property, and called a Diophantine set, if xy + 1 is a perfect square for any x = y ∈ S. The task of finding integer Diophantine quadruples {a, b, c, d}, where a < b < c …