Comments on: Sieve (of Eratosthenes) algorithm for generating prime numbers

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By: Dan Madden

Dan Madden — Sat, 20 Mar 2010 22:52:21 +0000

It’s funny I was just reading about this method this morning in the book “Mathematics from the birth of numbers”

By: Cam

Cam — Mon, 08 Mar 2010 22:14:43 +0000

This is great – you can also create a single loop which ‘crosses out’ multiples of other primes up to quite a bit… by unrolling the loop and finding the pattern of multiples, which always repeats. Having a hard-coded loop which eliminates multiples turns out to be very performant as well… This is one aspect of my favorite interview question, how to determine if a number is prime? Lots of fun.

I once had a team challenge where everyone on the team implemented their own algorithm to see who could make the fastest prime detector.

The best part about this is that there are so many layers of the answer, it’s easy to talk about the problem at many levels and depths of optimization…