Find-all-solutions-of-x-y-a-b-for-these-equations-x-y-2-p-a-x-2-y-p-b-which-x-y-a-b-are-integers-and-p-prime-number-

Question Number 63636 by naka3546 last updated on 06/Jul/19

F i n d a l l s o l u t i o n s o f (x, y, a, b) f o r t h e s e e q u a t i o n s :

x + y^{2} = p^{a}

x^{2} + y = p^{b}

w h i c h x, y, a, b a r e i n t e g e r s a n d p p r i m e n u m b e r .