Exploration of Solutions for an Exponential Diophantine Equation px+ (p +1)y= z2

In this text, the exclusive exponential Diophantine equation px + (p + 1)y= z2such that the sum of integer powers  and  of two consecutive prime numbers engrosses a square is examined or estimating enormous integer solutions by exploiting the fundamental notion of Mathematics and the speculation of divisibility or all possibilities of x + y = 1, 2, 3, 4..