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

Andrew Wagner wagner.andrew at gmail.com
Tue Apr 14 08:47:12 EDT 2009

Some other ideas for things to put in this package possibly:
is_prime :: Int -> Bool
nth_prime :: Int -> Int -- or Int -> Integer
prime_factors :: Int -> [Int]

I'm assuming there are faster ways of doing the first 2 than by just simply
looking through all of primes. Someone should also look through Euler - I'm
sure that will generate other ideas of things that could be useful in
playing with primes.

On Tue, Apr 14, 2009 at 8:40 AM, Niemeijer, R.A. <r.a.niemeijer at tue.nl>wrote:

>  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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