Let a,b be Natural numbers where . Also p is a ' number. If for two distinct integer values of x, then prove that for any integral values of x.
So this seems to be a pretty straightforward question and I got the final expression that is where y and z are roots of equations , so I got p has three factors while a ' number can only have 2 factors. But I couldn’t understand what would happen if . So essentially I need to try and prove that .