Question 107
Let $n$ be a positive integer. Show that there exists an integer $m$ such that
$$
2018m^2 + 20182017m + 2017
$$
is divisible by $2^n$.
$$
2018m^2 + 20182017m + 2017
$$
is divisible by $2^n$.
MathNet 2018-part-05 — 181 problems (EN–VI) Question 107
Math Olympiad Vault · MathNet 2018-part-05 — 181 problems (EN–VI)