if-a-b-N-then-determine-all-the-prime-numbers-p-which-satisfy-p-2-a-p-2-b-

Question Number 150966 by mathdanisur last updated on 17/Aug/21

if a; b \in N^{+} then determine all the

prime numbers p which satisfy

{(p + 2)}^{a} = {(p - 2)}^{b}

Commented by Rasheed.Sindhi last updated on 17/Aug/21

S p e c i a l C a s e : a = b

{(p + 2)}^{a} = {(p - 2)}^{b}

{(p + 2)}^{a} = {(p - 2)}^{a}

p + 2 = p - 2

2 = - 2 false

∴ a \neq b

Commented by mathdanisur last updated on 17/Aug/21

Thank you Ser

The equation {doesn}^{'} t have solution