11193
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
The Prime Number Theorem
The number of primes
π(x)
less than or equal to
, compared to two estimates:
and the logarithmic integral,
li(x)
.
Contributed by:
Stephen Wolfram
THINGS TO TRY
Slider Zoom
SNAPSHOTS
RELATED LINKS
Prime Number Theorem
(
Wolfram
MathWorld
)
The Sequence of Primes
(
NKS|Online
)
PERMANENT CITATION
"
The Prime Number Theorem
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/ThePrimeNumberTheorem/
Contributed by:
Stephen Wolfram
Share:
Embed Interactive Demonstration
New!
Just copy and paste this snippet of JavaScript code into your website or blog to put the live Demonstration on your site.
More details »
Download Demonstration as CDF »
Download Author Code »
(preview »)
Files require
Wolfram
CDF Player
or
Mathematica
.
Related Demonstrations
More by Author
Number Theory Tables
Ed Pegg Jr
A Formula for Primes in Arithmetic Progressions
Robert Baillie
Gaussian Primes
Stephen Wolfram
Table of Primes
Stephen Wolfram
Prime Number Races
Michael Trott
Why a Number Is Prime
Enrique Zeleny
Natural Logarithm Approximated by Continued Fractions
Andreas Lauschke
Approximating the Logarithm of Any Base with Continued Fractions
Andreas Lauschke
An Approximation to the n-th Prime Number
Jon Perry
Relatively Prime Numbers and Zeta(2)
Okay Arik
Related Topics
Approximation Methods
Exponents and Logarithms
Number Theory
Prime Numbers
Special Functions
Browse all topics
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have
Mathematica Player
or
Mathematica 7+