In 2012, Peker and
Cenberci [5] suggested that (3, 0, 3) is a unique solution for the Diophantine
equation 2x + 19y = z2 where x, y and z are non-negative integers. But the
proof is not completed. In the same year, Chotchaisthit [3] found all non-
negative integer solutions for the Diophantine equation of type 4x + py = z2
where p is a positive prime number.
showed that