MathDB

2

Part of 1953 Kurschak Competition

Problems(1)

n^2 + d not a square if d divides 2n^2

Source: 1953 Hungary - Kürschák Competition p2

10/10/2022
nn and dd are positive integers such that dd divides 2n22n^2. Prove that n2+dn^2 + d cannot be a square.
number theoryPerfect Squaredivides