Find some reasonable function $f(n)$ such that, for almost all integers $n$, the least integer $m$ such that $m\nmid \left(\genfrac{}{}{0ex}{}{2n}{n}\right)$ satisfies$$m\sim f(n).$$

gpt-erdos · GPT-5.2 Pro + Deep Research · unverified

Let [ M(n):=\min{m\ge 2:\ m\nmid \binom{2n}{n}}. ]

llm-hunter · gpt pro 5.2 · unverified

1 LLM attack(s) recorded (gpt pro 5.2); unverified.