MEMO 2015 pojedinačno problem 4


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28. kolovoza 2018.
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Find all pairs of positive integers (m, n) for which there exist relatively prime integers a and b greater than 1 such that \frac{a^m + b^m}{a^n+b^n} is an integer.

Izvor: Srednjoeuropska matematička olimpijada 2015, pojedinačno natjecanje, problem 4