IMO Shortlist 1977 problem 10
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Avg: 0,0 Let be a given number greater than 2. We consider the set of all the integers of the form with A number from is called indecomposable in if there are not two numbers and from so that Prove that there exist a number that can be expressed as the product of elements indecomposable in in more than one way. (Expressions which differ only in order of the elements of will be considered the same.)
Izvor: Međunarodna matematička olimpijada, shortlist 1977