MathDB

4

Part of 2019 Grand Duchy of Lithuania

Problems(1)

p^2 + 5pq + 4q^2 is perfect square

Source: 2019 Grand Duchy of Lithuania, Mathematical Contest p4 (Baltic Way TST)

10/3/2020
Determine all pairs of prime numbers (p,q)(p, q) such that p2+5pq+4q2p^2 + 5pq + 4q^2 is a square of an integer.
number theoryPerfect Square