IMO Shortlist 1984 problem 2


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2. travnja 2012.
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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.
Izvor: Međunarodna matematička olimpijada, shortlist 1984