Let $A\subset \mathbb{N}$ be the set of $n$ such that for every prime $p\mid n$ there exists some $d\mid n$ with $d>1$ such that $d\equiv 1(\mathrm{mod}p)$. Is it true that there exists some constant $c>0$ such that for all large $N$$$\frac{|A\cap [1,N]|}{N}=\exp (-(c+o(1))\sqrt{\log N}\log \log N).$$

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

This is **open** (it is Erdős’ Problem #768 in the Erdős Problems database). ([Erdős Problems][1])

llm-hunter · gpt pro 5.2 · unverified

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