MEMO 2009 pojedinačno problem 4


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April 28, 2012
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Determine all integers k\ge 2 such that for all pairs (m,\,n) of different positive integers not greater than k, the number n^{n-1}-m^{m-1} is not divisible by k.
Source: Srednjoeuropska matematička olimpijada 2009, pojedinačno natjecanje, problem 4