Let $m(n)$ be minimal such that there is an $n$-uniform hypergraph with $m(n)$ edges which is $3$-chromatic. Estimate $m(n)$.

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

Write “properly 2‑colorable” for a red/blue coloring with **no monochromatic edge** (this is *Property B*). An $n$-uniform hypergraph is **3‑chromatic** iff it is **not** 2‑colorable but is 3‑colorable. For the extremal function here, you can identify $m(n)$ with the classical “minimum size of an $n$-uniform hypergraph…

llm-hunter · gpt pro 5.2 · unverified

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