Changes

<math> \mbox{Li}(x) = \int_2^x \frac{dt}{\ln t}</math>.  

<math> \mbox{Li}(x) = \int_2^x \frac{dt}{\ln t}</math>.  

In fact, for large x this turns out to be a better approximation than <math>\pi(x)</math>.

In fact, for large x this turns out to be a better approximation than <math>\pi(x)</math>. The size of the error <math>\mbox{Li}(x) - \pi(x) </math> is closely related to the behavior of the [[Riemann Zeta function]]

 

 

[[Category:Mathematics]]

[[Category:Mathematics]]