Find all $n$ for which there are $n$ consecutive integers whose sum of squares is a prime.
Problem
Source: 2010 Saudi Arabia Pre-TST 2.2
Tags: prime, consecutive, number theory, Sum of Squares
Source: 2010 Saudi Arabia Pre-TST 2.2
Tags: prime, consecutive, number theory, Sum of Squares
Find all $n$ for which there are $n$ consecutive integers whose sum of squares is a prime.