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Offset logarithmic integral
Function
$ \mathrm{Li}: \mathbb R_+\to \mathbb R_+$ |
$ \mathrm{Li}(x) := \mathrm{li}(x)-\mathrm{li}(2) $ |
Discussion
Alternative definition
$ \mathrm{Li}(x) := \int_2^x \frac{1}{\ln(t)}\mathrm d t $
Theorems
$ \mathrm{Li}(x)\approx\pi(x) $
todo: Prime counting-function
Reference
Wikipedia: Logarithmic integral function