[Haskell-cafe] Looking for the fastest Haskell primes algorithm
Lennart Augustsson
lennart at augustsson.net
Wed Apr 15 07:09:36 EDT 2009
For isPrime you might want to implement the AKS test,
http://en.wikipedia.org/wiki/AKS_primality_test
On Tue, Apr 14, 2009 at 3:05 PM, Edward Kmett <ekmett at gmail.com> wrote:
> You might want to start with the Sieve of Atkin:
>
> http://en.wikipedia.org/wiki/Sieve_of_Atkin
>
> -Edward
>
> 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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