You Will Need a Square State Of Mind
Number Theory
Level
4
What is the sum of the \(\displaystyle 2\) smallest possible values of \(\displaystyle n \in \mathbb{Z}\), such that both \(\displaystyle 2n+1\) and \(\displaystyle 3n+1\) are perfect squares?
Bonus Find the GCD of all such \(n\).
by
Satvik Golechha