Erdős Problem #455

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

#455: [ErGr80,p.91]

number theory

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Richter [Ri76] proved that\[\liminf_n \frac{q_n}{n^2}>0.352\cdots.\]

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This page was last edited 07 October 2025.

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