## Two Squares

#### Problem

Given that $n$ is a positive integer and $2n+1$ and $3n+1$ are perfect squares, prove that $n$ is divisible by 40.

Problem ID: 338 (16 May 2008) Difficulty: 3 Star

Given that $n$ is a positive integer and $2n+1$ and $3n+1$ are perfect squares, prove that $n$ is divisible by 40.

Problem ID: 338 (16 May 2008) Difficulty: 3 Star