Question 198
(i) Determine all pairs $(m, n)$ of positive integers that satisfy the equation $n^{2}-2^{m}=1$.
(ii) Determine all pairs $(m, n)$ of positive integers that satisfy the equation $2^{m}-n^{2}=1$.
(ii) Determine all pairs $(m, n)$ of positive integers that satisfy the equation $2^{m}-n^{2}=1$.