Re: Pi and the distribution of prime numbers

From: Martin Johansen (mfag_at_online.no)
Date: 02/09/05 

Date: Wed, 9 Feb 2005 20:30:26 +0100

I woundered about the exact same thing.

But, pi is common in mathemtics, its in the sum of 1/x^2, many complex
numbers can be given in terms of pi, most notably -1 = e^(i*pi), so it is
not really interesting any more.

"José Carlos Santos" <jcsantos@fc.up.pt> wrote in message
news:36v0inF56vofeU1@individual.net...
> Hi all,
>
> At the MathWorld page dedicated to pi, located at
>
> http://mathworld.wolfram.com/Pi.html
>
> it is claimed that pi "crops up in all sorts of unexpected places in
> mathematics [...]. For example, it occurs in [...] the distribution of
> primes". Does anyone know what's the connection? Or is it a confusion
> between the number pi and the prime counting function (usually denoted
> by pi)?
>
> Best regards,
>
> Jose Carlos Santos