*“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

A visual Sieve for Prime Numbers

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

**Radiant Primes :** Radiant generates radiant primes for you.

http://www.holygoat.co.uk/applications/radiant-primes/radiant-redirected

**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

I love this blog!

Thank you.