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Problem 454 — Erdős Problems

Problem 454

Let

f(n) = \min_{i<n} (p_{n+i}+p_{n-i}),

where $p_k$ is the $k$ th prime. Is it true that

\limsup_n (f(n)-2p_n)=\infty?

Source: erdosproblems.com/454

Number theory
Primes

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No claim settles this problem.

Po79: Pomerance, Carl, The prime number graph. Math. Comp. (1979), 399-408.

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Status: Open
Topics: Number theory
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