Let $f(n)$ be maximal such that in any $A\subset \mathbb{Z}$ with $|A|=n$ there exists some sum-free subset $B\subseteq A$ with $|B|\ge f(n)$, so that there are no solutions to$$a+b=c$$with $a,b,c\in B$. Estimate $f(n)$.

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

[ f(n):=\min_{\substack{A\subset\mathbb Z\ |A|=n}}\ \max{|B|:B\subseteq A,\ B\ \text{sum-free}}, ]

llm-hunter · gpt pro 5.2 · unverified

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