This nal project discusses the solutions of Diophantine equation px + qy = z2 with p and q are twin prime numbers having solutions in positive integers. Furthermore, if the sum of p and q is a perfect square, then the Diophantine equation px + qy = z2 has unique solution (x; y; z) = (1; 1; √ p + q) in nonnegative integers. This nal project is a review of article of Bacani and Rabago …