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Is it true that, for all sufficiently large $n$, \[p_n^2 \leq p_{n+i}p_{n-i}\] for all $i<n$, where $p_k$ is the $k$th prime?
#453
:
[ErGr80]
number theory
Asked by Erdős and Straus. The answer is no, as shown by Pomerance
[Po79]
.
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