Let [itex]p_n[/itex] be the nth prime number. Can someone help me figure out how to show that(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\lim_{n\to \infty} \frac{\log (\log p_n)}{\log n} = 0.

[/tex]

You're allowed to assume that

[tex]

\lim_{n\to \infty} \frac{p_n}{n \log p_n} = 1.

[/tex]

I'm quite confident what I want to show is true, but it's hard to figure out how to do it because [itex]p_n > n[/itex] for every n. Thanks!

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# Question about the prime number theorem

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