Question 94
Show that there exist infinitely many positive integers $n$ such that
$$
\frac{4^{n}+2^{n}+1}{n^{2}+n+1}
$$
is an integer.
$$
\frac{4^{n}+2^{n}+1}{n^{2}+n+1}
$$
is an integer.
MathNet 2018-part-03 — 181 problems (EN–VI) Question 94
Math Olympiad Vault · MathNet 2018-part-03 — 181 problems (EN–VI)