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Let \[f(n) = \min_{i<n} (p_{n+i}+p_{n-i}),\] where $p_k$ is the $k$th prime. Is it true that \[\limsup_n (f(n)-2p_n)=\infty?\]
#454
:
[ErGr80]
number theory
,
primes
Pomerance
[Po79]
has proved the $\limsup$ is at least $2$.
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