IMO Shortlist 1984 problem 2
Dodao/la:
arhiva2. travnja 2012. Prove:
(a) There are infinitely many triples of positive integers
such that
(b) There are no positive integers
such that
%V0
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