Finding patterns in prime numbers
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Button.pde
Controler.pde
Number.pde
README.md
Table.pde
exp_shaper.pde
interface.pde
primes_modulator.pde
spirals.pde

README.md

Primers Modulator

After creating a simple script for generating an endless list of prime numbers, I tried to visualize them in a way that could reveal something interesting.

The first thing I tried to do was to put them in a archimedean spiral (r = a + b × t). Then I learned that Stanislaw Ulam, in 1963, came up with a simple yet revealing arrangement for prime numbers (Ulam's rose). He created a gridded square spiral that presented mysterious diagonal patterns that still remain unexplained.

Ulam's Rose

From this starting point, I'm trying to design a tool for discovering the hidden patterns in the prime numbers. If you play long enough, maybe you can find a hidden pattern that explains the aparent randomness of primes. Good luck!

Claim your prize at mathword.com, but remember to take your PDFs as a proof of your discovery. You'll need to run executable version in order to get a PDF.

~ Originally Dec 2006