Difference between revisions of "Prime number theorem, pi and x/log(x)"
From specialfunctionswiki
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Latest revision as of 20:25, 27 June 2016
Theorem
The function $\pi(x)$ obeys the formula $$\lim_{x \rightarrow \infty} \dfrac{\pi(x)}{\frac{x}{\log(x)}}=1,$$ where $\pi$ denotes the prime counting function and $\log$ denotes the logarithm.
