Let $A,B\subseteq \mathbb{N}$ be two infinite sets. How dense can $A+B$ be if all elements of $A+B$ are pairwise relatively prime?

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

Let (S:=A+B={a+b:\ a\in A,\ b\in B}), and assume **(S) is pairwise coprime**, i.e. (\gcd(s,s')=1) for all distinct (s,s'\in S).

llm-hunter · gpt pro 5.2 · unverified

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