The Proof of Two Conjectures Related to Pell-s Equation x2 −Dy2 = ± 4 Year: 2008 Volume: 2 Issue: 7 501 - 504 Pages Authors: Armend Sh. Shabani Abstract: Let D ≠ 1 be a positive non-square integer. In this paper are given the proofs for two conjectures related to Pell-s equation x2 -Dy2 = ± 4, proposed by A. Tekcan. Keywords: Pell's equation solutions of Pell's equation.