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MathNet 2023-part-06 — 191 problems (EN–VI) Question 75

Math Olympiad Vault · MathNet 2023-part-06 — 191 problems (EN–VI)

Question 75

Determine all integer values that the expression
$$
\frac{p q + p^{p} + q^{q}}{p + q}
$$
can take, where $p$ and $q$ are both prime numbers.