Prove:
(a) There are infinitely many triples of positive integers
such that
(b) There are no positive integers
such that
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Prove:
(a) There are infinitely many triples of positive integers $m, n, p$ such that $4mn - m- n = p^2 - 1.$
(b) There are no positive integers $m, n, p$ such that $4mn - m- n = p^2.$