IMO Shortlist 1990 problem 1
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Avg: 0,0 The integer can be written as a sum of two consecutive integers: Moreover, it can be written as a sum of (more than one) consecutive positive integers in exactly two ways: Is there an integer that can be written as a sum of consecutive integers and that can be written as a sum of (more than one) consecutive positive integers in exactly ways?
Izvor: Međunarodna matematička olimpijada, shortlist 1990