Question 118
Find all pairs $(p, q)$ of prime numbers such that
$$
1+\frac{p^{q}-q^{p}}{p+q}
$$
is a prime number.
$$
1+\frac{p^{q}-q^{p}}{p+q}
$$
is a prime number.
MathNet 2020 — Math Olympiad Vault — Part 04 Question 118
Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 04