4

Part of 2022 Austrian MO Beginners' Competition

Problems(1)

p + q^2 = r^4 , diophantine with primes

Source: 2022 Austrian Mathematical Olympiad Junior Regional Competition , Problem 4

Determine all prime numbers

p, q

r

p + q^2 = r^4

.
(Karl Czakler)

number theoryDiophantine equationdiophantine