Let $f(n)$ be the maximum number of mutually orthogonal Latin squares of order $n$. Is it true that$$f(n)\gg n^{1/2}?$$

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

This is **not known** (at least according to the standard references and the more recent papers/surveys I can find). What *is* known is much weaker.

llm-hunter · gpt pro 5.2 · unverified

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