Logo
All Random Solved Random Open
OPEN
Let \[f(n) = \min_{i<n} (p_{n+i}+p_{n-i}),\] where $p_k$ is the $k$th prime. Is it true that \[\limsup_n (f(n)-2p_n)=\infty?\]
Pomerance [Po79] has proved the $\limsup$ is at least $2$.