February 14th, 2017, 04:51 PM |
#1 |

Newbie Joined: Jul 2014 From: Taiwan Posts: 8 Thanks: 0 | π(x)
Sorry, my math and English are poor, but I still want to ask a question about π(x). If we let x/ln(x) be substituted into x, and so that becomes to be [x/ln(x)]/ln[x/ln(x)], then repeat this step over and over again; thus, is it correct that finally equals π(x)? Would someone like to explain to me if that is correct? |

February 14th, 2017, 07:00 PM |
#2 |

Senior Member Joined: Sep 2015 From: USA Posts: 1,974 Thanks: 1025 |
repeated iteration of $\dfrac{x}{\ln(x)}$ results in $e,~\forall x > 1$ $\dfrac{x}{\ln(x)}=x$ $1 = \ln(x)$ $x = e$ $e \neq \pi(x)$ |