Game of Life News: Prime numbers (2010)
pentadecathlon.com
pentadecathlon.com
How is this anything close the the Sieve? The Sieve is forward looking eliminating number that are multiples of a found prime, forward looking and eliminating. This, from the description, is just the classic prime test of looking at all smaller numbers to find divisors.
http://en.wikipedia.org/wiki/Conway's_Game_of_Life
So, what's interesting here is doing it more efficiently, or cleverly.