Determine all positive integers $ k,n $ for which $ 2^k+10n^2+n^4 $ is a perfect square. Japan EGMO 2016 Shortlist
Source: Stars of Mathematics 2016, Seniors, Problem 1
Tags: algebra, number theory
Determine all positive integers $ k,n $ for which $ 2^k+10n^2+n^4 $ is a perfect square. Japan EGMO 2016 Shortlist