Logarithmic integral function: Difference between revisions

Revision as of 23:37, 4 May 2022

Revision as of 21:52, 8 June 2022

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:<math>\operatorname{li}(x)-\pi(x) = O(\sqrt{x}\log x)</math>

For small <math>x</math>, <math>\operatorname{li}(x)>\pi(x)</math> but the difference changes sign an infinite number of times as <math>x</math> increases, and the [[Skewes's number|first timestime this happens]] is somewhere between 10¹⁹ and 1.4×10³¹⁶.

== See also ==