Abstract. Stanislaw Ulam discovered his spiral in 1963 and it was featured on the cover of Scientific American in 1964. The discourse on the phenomenon is not at all exhausted, however, I do refrain from repeating what others say about it and simply include links to pertinent sites.
Introduction
In as much as this is a tribute page, I don't say too much except to explain some of the pictures. Check out the links in section 2 to explore the mathematics further.
2. Web Resources Pertinent to Ulam's Spiral.
| Dario Alpern's interactive Java applet of the classic Ulam's Spiral. |  |
| MathWorld's Prime Spiral Page. |  |
| Harvey Heinz' More Prime Patterns Page. |  |
| Michel Charpentier's Prime Numbers in PostScript Page. |  |
| D. Weiss' Ulam's Spiral Page. |  |
| Adrian J.F. Leatherland's Ulam's Spiral Phenomenon Page |  |
| Peter Marteinson's Observations on the Regularity of Prime Number Distributions. |  |
| Abarim Publications' Ulam's Rose or Prime Number Spiral Page. |  |
| Wolfgang Shildbach's Patterns in Prime Numbers Page. |  |
| Didier van der Straten's Ulam's Spiral Page. |  |
| Ivars Peterson's MathTrek Article: Prime Spirals. |  |
| Don Bahl's Ulam's Prime Spirals Page. |  |
| Wikipedia's Ulam Spiral Page. |  |
| Jean-Francois Colonna's Vue Artistique des Nombres Premiers. |  |
| Le Village Premier's Ulam's Spiral Java Applet. |  |
| Rob Sach's NumberSpiral.com. |  |
| Otto Forster's Pictures of Primes. |  |
| Hermetic System's Hermetic System's Ulam's Spiral Software. |  |
| Valter Sagrillo's Prime Numbers Research Page. |  |
3. Notes on What's Going On
4. Animations
