Category:Eulerian Logarithmic Integral is Asymptotic to Prime-Counting Function

This category contains pages concerning Eulerian Logarithmic Integral is Asymptotic to Prime-Counting Function:

Let $x \in \R$ be a real number such that $x > 2$.

Let $\map \Li x$ denote the Eulerian logarithmic integral of $x$.

Let $\map \pi x$ denote the prime-counting function of $x$.

Then $\map \Li x$ is asymptotically equal to $\map \pi x$.