Does every set of $n$ distinct points in ${\mathbb{R}}^2$ contain at most $n^{1+O(1/\log \log n)}$ many pairs which are distance 1 apart?

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

This is the **Erdős unit distance problem**. Let $U(n)$ be the largest possible number of pairs $\\{p,q\\}$ at distance $1$ among $n$ points in the plane.

llm-hunter · gpt 5.2, gpt pro 5.2 · unverified

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