Question Number 103738 by Faetma last updated on 17/Jul/20
![Prime-counting function: π(x) What is the name of her reciprocal function? (Like arcsin(x) is the reciprocal function of sin(x)) [■ ■_(−) ^(−) ]](Q103738.png)
$$\mathrm{Prime}-\mathrm{counting}\:\mathrm{function}: \\ $$$$\pi\left({x}\right) \\ $$$$ \\ $$$$\mathrm{What}\:\mathrm{is}\:\mathrm{the}\:\mathrm{name}\:\mathrm{of}\:\mathrm{her} \\ $$$$\mathrm{reciprocal}\:\mathrm{function}? \\ $$$$ \\ $$$$\left(\mathrm{Like}\:\mathrm{arcsin}\left({x}\right)\:\mathrm{is}\:\mathrm{the}\right. \\ $$$$\left.\mathrm{reciprocal}\:\mathrm{function}\:\mathrm{of}\:\mathrm{sin}\left({x}\right)\right) \\ $$$$ \\ $$$$\left[\underset{−} {\overline {\blacksquare\:\:\:\blacksquare}}\right] \\ $$
Commented by mathmax by abdo last updated on 17/Jul/20
$$\mathrm{its}\:\mathrm{better}\:\mathrm{to}\:\mathrm{know}\:\Pi\left(\mathrm{x}\right)\:\mathrm{first}\:\mathrm{and}\:\mathrm{its}\:\mathrm{properties}... \\ $$
Commented by Faetma last updated on 17/Jul/20
![It′s not what I search... [■ ■_(−) ^(−) ]](Q103830.png)
$$\mathrm{It}'\mathrm{s}\:\mathrm{not}\:\mathrm{what}\:\mathrm{I}\:\mathrm{search}... \\ $$$$\left[\underset{−} {\overline {\blacksquare\:\:\:\blacksquare}}\right] \\ $$