===== Offset logarithmic integral ===== ==== Function ==== | @#FFBB00: definiendum | @#FFBB00: $ \mathrm{Li}: \mathbb R_+\to \mathbb R_+$ | | @#FFBB00: definiendum | @#FFBB00: $ \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: [[http://en.wikipedia.org/wiki/Logarithmic_integral_function|Logarithmic integral function]] ==== Parents ==== === Requirements === [[Logarithmic integral function]]