Question 34
Let $a, b, c$ be natural numbers such that $b \gt a \gt 1$ and $\gcd(c, ab) = 1$. Prove that there exists a natural number $n$ such that
$$
c \mid \binom{b^n}{a^n}
$$
$$
c \mid \binom{b^n}{a^n}
$$
MathNet 2024-part-03 — 168 problems (EN–VI) Question 34
Math Olympiad Vault · MathNet 2024-part-03 — 168 problems (EN–VI)