Question 97
Do there exist positive integers $n$, $k$ such that
$$
\frac{n}{11^k - n}
$$
is a square of an integer?
$$
\frac{n}{11^k - n}
$$
is a square of an integer?
MathNet 2018-part-02 — 181 problems (EN–VI) Question 97
Math Olympiad Vault · MathNet 2018-part-02 — 181 problems (EN–VI)