IMO Shortlist 2004 problem N6


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2. travnja 2012.
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Given an integer {n>1}, denote by P_{n} the product of all positive integers x less than n and such that n divides {x^2-1}. For each {n>1}, find the remainder of P_{n} on division by n.
Izvor: Međunarodna matematička olimpijada, shortlist 2004