10902
EXPLORE
LATEST
ABOUT
AUTHORING AREA
PARTICIPATE
Your browser does not support JavaScript or it may be disabled!
How the Primes Are Distributed
In this Demonstration,
is the
prime (red points) while
is the number of primes less than or equal to
(blue points).
Contributed by:
Bill Collins
THINGS TO TRY
Slider Zoom
Gamepad Controls
Automatic Animation
SNAPSHOTS
DETAILS
Mathematica
implements
and
as
Prime[n]
and
PrimePi[n]
.
RELATED LINKS
Prime
(
Wolfram
Mathematica
Documentation Center
)
Prime Counting Function
(
Wolfram
MathWorld
)
Prime Number
(
Wolfram
MathWorld
)
PrimePi
(
Wolfram
Mathematica
Documentation Center
)
PERMANENT CITATION
Bill Collins
"
How the Primes Are Distributed
"
http://demonstrations.wolfram.com/HowThePrimesAreDistributed/
Wolfram Demonstrations Project
Published: January 5, 2012
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
How the Zeros of the Zeta Function Predict the Distribution of Primes
Robert Baillie
Distribution of Primes
Hector Zenil
Approximations to the Distribution of Primes
Enrique Zeleny
Distribution of the Last Digit of the Primes
Soumyajit Mandal
Palindrome Primes
Peter Bohus and Márton Károlyi
Gaussian Primes
Stephen Wolfram
Gaps between Successive Primes
Daniel de Souza Carvalho
Gaps between Consecutive Primes
Michael Schreiber
Comparing the Primes in Base 2
Eric Alexander Küpper
Prime Plaid
Enrique Zeleny V.
Related Topics
Number Theory
Prime Numbers
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+