IMO Shortlist 2017 problem N5

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.

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

Školjka