For demonstration purposes only - originally presented in print, in 1977.
At that time this prime number generator was translated into WATFIV by C. Collins and D. Girard.
This version is running in your browser using javascript. It is not efficient, nor is it an "organic sieve".
Most browsers will opt to kill a script that runs for more than a predefined number of seconds without user input.
You may read more about J. A. Latouf's prime number generator, and his concept of and "organic sieve" at http://coracsi.blogspot.ca/.