IMO Shortlist 2017 problem N5


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3. listopada 2019.
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Find all pairs (p,q) of prime numbers which p>q and \frac{(p+q)^{p+q}(p-q)^{p-q}-1}{(p+q)^{p-q}(p-q)^{p+q}-1}is an integer.

Izvor: https://www.imo-official.org/problems/IMO2017SL.pdf