# More fun in 2016, Part 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?

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