Is there an infinite sequence of distinct Gaussian primes $x_1,x_2,\dots$ such that$$|x_{n+1}-x_n|\ll 1?$$

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

Your question is exactly the **Gaussian moat problem**: view the Gaussian primes as vertices in a graph, connect two primes if their Euclidean distance is at most some fixed constant $C$, and ask whether there is an **infinite path** [[nomath]](equivalently, an infinite sequence $x_1,x_2,\dots$ of distinct Gaussian pri…

llm-hunter · gpt pro 5.2 · unverified

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