[Haskell-cafe] Looking for the fastest Haskell primes algorithm

Adrian Neumann aneumann at inf.fu-berlin.de
Wed Apr 15 11:27:08 EDT 2009

I've just uploaded a package with some functions I had lying around.

 > http://hackage.haskell.org/cgi-bin/hackage-scripts/package/Numbers

Am 14.04.2009 um 14:40 schrieb Niemeijer, R.A.:

> Today I happened to need a large list of prime numbers. Obviously  
> this is a well-known problem, so I figured there would be something  
> on Hackage that I could use. Surprisingly, there isn’t, or if there  
> is it’s not easy to find. Searching for prime or primes on Hackage  
> reveals nothing. Searching for primes on Hayoo gives  
> Codec.Encryption.RSA.NumberTheory, but that uses the inefficient  
> one-liner implementation. The HaskellWiki article on primes (http:// 
> www.haskell.org/haskellwiki/Prime_numbers) has a number of  
> implementations, but the faster they get, the longer and uglier  
> they become.
> Since it’s such a common problem I’d say it would be a good idea to  
> add a package to Hackage that exports
> primes :: [Integer]
> and hides the ugly implementation details. Data.Numbers.Primes  
> seems a logical choice for the namespace, but I’m open to suggestions.
> The trick then is to find the most efficient implementation of  
> primes. The Haskell wiki article mentions ONeillPrimes.hs as one of  
> the fastest ones, but maybe there’s a faster version. So my  
> question is: does anybody know what the fastest Haskell algorithm  
> for generating primes is?
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