4

Part of 2020 Junior Balkаn MO

Problems(1)

Junior Balkan Mathematical Olympiad 2020- P4

Source: JBMO 2020

Find all prime numbers

p

q

1 + \frac{p^q - q^p}{p + q}

is a prime number.
Proposed by Dorlir Ahmeti, Albania

number theoryprime numbersJunior BalkanJuniorjbmo2020geometry