Difference between revisions of "Prime counting"
From specialfunctionswiki
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=Properties= | =Properties= | ||
| − | + | [[Prime number theorem, pi and x/log(x)]] | |
| − | + | [[Prime number theorem, logarithmic integral]] | |
=References= | =References= | ||
Revision as of 19:37, 9 June 2016
The prime counting function $\pi \colon \mathbb{R} \rightarrow \mathbb{Z}^+$ is defined by the formula $$\pi(x) = \{\mathrm{number \hspace{2pt} of \hspace{2pt} primes} \leq x \}.$$
Graph of $\pi(x)$.
Properties
Prime number theorem, pi and x/log(x) Prime number theorem, logarithmic integral
