Each of p and q is a prime number and each of x and y is a positive integer, with x greater than 1.

Find quadruplet(s) (p, q, x, y) that satisfy this equation:

                 px - qx = 2y

providing adequate reasons as to why there are no further solutions.

*** Adapted from a problem which appeared at the Brazilian Mathematical Olympiad in 1997.

Posted by K Sengupta on 2022-08-02 09:58:48