Eulerian Logarithmic Integral is Asymptotic to Prime-Counting Function/Examples

Examples of Use of Eulerian Logarithmic Integral is Asymptotic to Prime-Counting Function

Example: $10^6$

\(\ds \map \Li {10^6}\)

\(\approx\)

\(\ds 78 \, 628\)

\(\ds \map \pi {10^6}\)

\(=\)

\(\ds 78 \, 498\)

\(\ds \leadsto \ \ \)

\(\ds \dfrac {\map \Li {10^6} } {\map \pi {10^6} }\)

\(\approx\)

\(\ds 1 \cdotp 00166\)