MathDB

2

Part of 2019 ITAMO

Problems(1)

Prime powers

Source: ITAMO 2019 #2

5/3/2019
Let p,qp,q be prime numbers.. Prove that if p+q2p+q^2 is a perfect square,, then p2+qnp^2+q^n is not a perfect square for any positive integer n.n.
number theoryITAMO 2019