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## Homework Statement

Find the lim inf of p_n/n where p_n is the nth prime.

## Homework Equations

Well p_n ~ n logn, but I'm not sure if a simple substitution would work. This question may be incredibly trivial or open, and I can't figure out which.

I'm also wondering if the sequence above is monotone decreasing for sufficiently large n (this is not true for small n).

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