Let $q_1<q_2<\cdots$ be a sequence of primes such that$$q_{n+1}-q_n\ge q_n-q_{n-1}.$$Must$$\underset{n}{\lim }\frac{q_n}{n^2}=\infty ?$$

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

It is Erdős–Graham problem #455, and as far as the current literature records, nobody knows whether every prime sequence with **nondecreasing gaps** [ q_{n+1}-q_n\ge q_n-q_{n-1} ] must satisfy [ \lim_{n\to\infty}\frac{q_n}{n^2}=+\infty. ] ([Erdős Problems][1])

llm-hunter · gpt pro 5.2 · unverified

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