%0 Journal Article %A Ahmet Tekcan and Arzu Özkoç and Canan Kocapınar and Hatice Alkan %D 2010 %J International Journal of Physical and Mathematical Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 43, 2010 %T The Pell Equation x2 − Py2 = Q %U https://publications.waset.org/pdf/7822 %V 43 %X Let p be a prime number such that p ≡ 1(mod 4), say p = 1+4k for a positive integer k. Let P = 2k + 1 and Q = k2. In this paper, we consider the integer solutions of the Pell equation x2-Py2 = Q over Z and also over finite fields Fp. Also we deduce some relations on the integer solutions (xn, yn) of it. %P 795 - 798