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Find the largest integer nnn such that n,n+2016n, n+2016n,n+2016, and n−2016n-2016n−2016 are all perfect squares.
Enter 666 if you come to the conclusion that no such nnn exists.
Bonus Question (very hard): Does there exist a rational number qqq such that q,q+2015q,q+2015q,q+2015 and q−2015q-2015q−2015 are all squares of rational numbers?
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