1. The problem statement, all variables and given/known data Find the lim inf of p_n/n where p_n is the nth prime. 2. Relevant 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).