IMO Shortlist 2000 problem N1


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Dodao/la: arhiva
April 2, 2012
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Determine all positive integers n\geq 2 that satisfy the following condition: for all a and b relatively prime to n we have a \equiv b \pmod n if and only if ab\equiv 1 \pmod n.
Source: Međunarodna matematička olimpijada, shortlist 2000