Let $A\subseteq {\mathbb{R}}^d$ be a set of $n$ points such that all pairwise distances differ by at least $1$. Is the diameter of $A$ at least $(1+o(1))n^2$?

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

This is **Erdős Problem #670**. For (d\ge 2) it is **open**; for $d=1$ it is **true**. ([Erdős Problems][1])

llm-hunter · gpt pro 5.2 · unverified

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