IMO Shortlist 2008 problem N6


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2. travnja 2012.
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Prove that there are infinitely many positive integers n such that n^{2} + 1 has a prime divisor greater than 2n + \sqrt {2n}.

Author: Kestutis Cesnavicius, Lithuania
Izvor: Međunarodna matematička olimpijada, shortlist 2008