## Visualizing The Distribution of Prime Numbers

“Upon looking at these numbers, one has the feeling of being in the presence of the inexplicable secrets of creation.”

Pictures of Primes
picture of odd primes < 8192
http://www.mathematik.uni-muenchen.de/~forster/primes.html#p2_13

A visual representation of the primes – The author says: “This is derived from the primes, in a definite way; but is for beauty rather than information purposes

The well-known Ulam spiral and the variant developed by Robert Sacks, the Sacks spiral, show interesting geometric patterns in the positions of primes Number Spirals

You choose the starting integer (the mayor), and this java applet will draw the prime spiral around that point.
http://platon.lacitec.on.ca/~dmorin/applets/village/index.html

Number Spiral : A method of graphing the integers that reveals relationships between primes, factors, and products.
http://www.numberspiral.com/

Ulam’s Spiral

Ulam Spiral Visualization – The Pattern of Prime Numbers

Prime Number Spiral : Windows software for exploring the Ulam spiral with user-selectable central number and manner of coloring the primes, and animation of the spiral.
http://www.hermetic.ch/pns/pns.htm

Representing prime numbers graphically : This page demonstrates various ways to represent prime numbers graphically.
http://yoyo.cc.monash.edu.au/~bunyip/primes/

Using the prime numbers to communicate with other civilizations

Differences between consecutive primes.
1, 2, 2, 4, 2, 4, 2, 4, 6, 2, 6, 4, 2, 4, 6, 6, 2, 6, 4, 2, 6, 4, 6, 8, 4, 2, 4, 2, 4, 14, 4, 6, 2, 10, 2, 6, 6, 4, 6, 6, 2, 10, 2, 4, 2, 12, 12, 4, 2, 4, 6, 2, 10, 6, 6, 6, 2, 6, 4, 2, 10, 14, 4, 2, 4, 14, 6, 10, 2, 4, 6, 8, 6, 6, 4, 6, 8, 4, 8, 10, 2, 10, 2, 6, 4, 6, 8, 4, 2, 4, 12, 8, 4, 8, 4, 6, 12
http://oeis.org/A001223

Physics of the Riemann Hypothesis
http://arxiv.org/abs/1101.3116

The Riemann Zeros and Eigenvalue Asymptotics
http://jpkeating.files.wordpress.com/2010/11/32.pdf