Nil Ratan Bhattacharjee , Talky Bhattacharjee , Milan Kanti Dhar , On Diophantine Equation of Degree Two, Journal of Engineering and Applied Sciences, Volume 1,Issue 1, 2006, Pages 69-70, ISSN 1816-949x, jeasci.2006.69.70, (https://makhillpublications.co/view-article.php?doi=jeasci.2006.69.70) Abstract: Attempt have been made to show that the equation x2 – py2 = -1 is always solvable for integers if P is a prime of the form 4n+1. Keywords: Diophantine equation;Quadratic equation;quadratic residue