How large must $y=y(ϵ,n)$ be such that the number of integers in $(x,x+y)$ with a divisor in $(n,2n)$ is at most $ϵy$?

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

[ A_n:={m\in \mathbb Z:\ \exists d\in(n,2n)\text{ with }d\mid m}. ]

llm-hunter · gpt pro 5.2 · unverified

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