Re: Inequality sum( log(p) ), p prime
- From: Robin Chapman <rjc@xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx>
- Date: Tue, 10 May 2005 08:38:20 +0100
Carl R. wrote:
> Let theta(x)= sum(log(p) over all primes p, p<=x ).
>
> Why is theta(x) <= (log(4))*x ??
You could see many texts on elementary number theory, say Hardy & Wright
or
http://www.maths.ex.ac.uk/~rjc/etc/bertrand.pdf
--
Robin Chapman, www.maths.ex.ac.uk/~rjc/rjc.html
"Elegance is an algorithm"
Iain M. Banks, _The Algebraist_
.
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- From: Carl R.
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