More fun in 2016, Part 4
Number Theory
Level
4
Find the largest integer \(n\) such that \(n, n+2016\), and \(n-2016\) are all perfect squares.
Enter 666 if you come to the conclusion that no such \(n\) exists.
Bonus Question (very hard): Does there exist a rational number \(q\) such that \(q,q+2015\) and \(q-2015\) are all squares of rational numbers?
by
Otto Bretscher