Personally, I haven't been using SIEVE because I didn't know what it was. However, after reading this article I still don't know what it is.
...but a good part of what this article is discussing is why you don't know what it is; why it hasn't been in textbooks for 40+ years:
> if it’s so effective, and so simple, and so closely related to an algorithm that’s been around forever, why has nobody discovered it already?