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Erdős problem / erdos

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Problem 454

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  1. vf_56ae377aa14732e2

    theoretical

    Erdős Problem #454: declared status 'open'. Formalized: yes. Letf(n)=min⁡i<n(pn+i+pn−i),f(n) = \min_{i<n} (p_{n+i}+p_{n-i}),where pkp_k is the kkth prime. Is it true thatlim sup⁡n(f(n)−2pn)=∞?\limsup_n (f(n)-2p_n)=\infty? Prize: no. OEIS: A389676, A389677. Tags: number theory, primes.

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