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 .


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

$F i n d a l l s o l u t i o n s o f (x, y, a, b) f o r t h e s e e q u a t i o n s :$ $x + y^{2} = p^{a}$ $x^{2} + y = p^{b}$ $w h i c h x, y, a, b a r e i n t e g e r s a n d p p r i m e n u m b e r .$
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