IMO Shortlist 1969 problem 13


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2. travnja 2012.
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(CZS 2) Let p be a prime odd number. Is it possible to find p-1 natural numbers n + 1, n + 2, . . . , n + p -1 such that the sum of the squares of these numbers is divisible by the sum of these numbers?
Izvor: Međunarodna matematička olimpijada, shortlist 1969