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