Question 16
Let $n$ be a positive integer. Prove that there exists a positive integer $k$ such that
$$
51^k - 17
$$
is divisible by $2^n$.
$$
51^k - 17
$$
is divisible by $2^n$.
MathNet 2018-part-02 — 181 problems (EN–VI) Question 16
Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)