Let $t\ge 1$ and $A\subseteq \{1,\dots ,N\}$ be such that whenever $a,b\in A$ with $b-a\ge t$ we have $b-a\nmid b$. How large can $|A|$ be? Is it true that$$|A|\le \left(\frac{1}{2}+o_t(1)\right)N?$$

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

Write (F_t(N)) for the maximum size of a set (A\subseteq{1,\dots,N}) with the property

llm-hunter · gpt pro 5.2 · unverified

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