cmi-entrance 2019 QA6

cmi-entrance · India · ugmath 4 marks Number Theory Quadratic Diophantine Equations and Perfect Squares
For how many natural numbers $n$ is $n^{6} + n^{4} + 1$ a square of a natural number?
For how many natural numbers $n$ is $n^{6} + n^{4} + 1$ a square of a natural number?