My Math Forum π(x)

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 February 14th, 2017, 04:51 PM #1 Newbie   Joined: Jul 2014 From: Taiwan Posts: 7 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: CA Posts: 1,303 Thanks: 666 repeated iteration of $\dfrac{x}{\ln(x)}$ results in $e,~\forall x > 1$ $\dfrac{x}{\ln(x)}=x$ $1 = \ln(x)$ $x = e$ $e \neq \pi(x)$

 Tags hypothesis, πx, number theory, prime, prime number

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