From: Jeremy Smith
Subject: New Prime Sieving Algorithm
Date: 
Message-ID: <Xns99BBBFA453719jeremyalansmithsofth@62.253.170.163>
I'm informing the readers of sci.math (and comp.lang.lisp) that I have 
uploaded a draft of my paper about the Leapfrog Sieve, to 

   http://www.geocities.com/jeremyalansmith/leapfrog.htm

It's more about the algorithm than the maths behind it, so I apologise in 
advance for any confused mathematicians. The big graphic explains it all.

As it says in the paper, this is more an educational tool than a 
mathematical breakthrough. But it is superior to the Sieve of Eratosthenes.

Cheers,

Jeremy Smith BSc (Hons)

From: Griff
Subject: Re: New Prime Sieving Algorithm
Date: 
Message-ID: <1191196068.889559.86990@y42g2000hsy.googlegroups.com>
On Sep 30, 12:48 pm, Jeremy Smith <············@decompiler.org> wrote:
> I'm informing the readers of sci.math (and comp.lang.lisp) that I have
> uploaded a draft of my paper about the Leapfrog Sieve, to
>
>    http://www.geocities.com/jeremyalansmith/leapfrog.htm

Thanks for sharing that Jeremy.
From: Jeremy Smith
Subject: Re: New Prime Sieving Algorithm
Date: 
Message-ID: <Xns99BCDE65B4A8jeremyalansmithsofth@80.5.182.99>
Griff <·······@gmail.com> wrote in news:1191196068.889559.86990
@y42g2000hsy.googlegroups.com:

> On Sep 30, 12:48 pm, Jeremy Smith <············@decompiler.org> wrote:
>> I'm informing the readers of sci.math (and comp.lang.lisp) that I have
>> uploaded a draft of my paper about the Leapfrog Sieve, to
>>
>>    http://www.geocities.com/jeremyalansmith/leapfrog.htm
> 
> Thanks for sharing that Jeremy.

I'm not sure if that's sarcasm (use of the word 'sharing').

The only reason I posted it here is because I wrote the prototype in Lisp 
and that code is available from the website.

A lot of Lispers have an interest in maths and prime numbers.

Jeremy.
From: Griff
Subject: Re: New Prime Sieving Algorithm
Date: 
Message-ID: <1191248613.608645.158840@k79g2000hse.googlegroups.com>
On Sep 30, 7:20 pm, Jeremy Smith <············@decompiler.org> wrote:

> I'm not sure if that's sarcasm (use of the word 'sharing').

No sarcasm there.

> A lot of Lispers have an interest in maths and prime numbers.

Hence the "thanks"!
From: stassats
Subject: Re: New Prime Sieving Algorithm
Date: 
Message-ID: <1191229028.271235.164750@22g2000hsm.googlegroups.com>
Thanks, interesting approach.

Lisp code can be more optimized (declaration of types etc.) and it can
be as fast as the C++ version.
From: Chris Russell
Subject: Re: New Prime Sieving Algorithm
Date: 
Message-ID: <1191280794.558957.88590@w3g2000hsg.googlegroups.com>
On 30 Sep, 18:48, Jeremy Smith <············@decompiler.org> wrote:
> I'm informing the readers of sci.math (and comp.lang.lisp) that I have
> uploaded a draft of my paper about the Leapfrog Sieve, to
>
>    http://www.geocities.com/jeremyalansmith/leapfrog.htm
>
> It's more about the algorithm than the maths behind it, so I apologise in
> advance for any confused mathematicians. The big graphic explains it all.
>
> As it says in the paper, this is more an educational tool than a
> mathematical breakthrough. But it is superior to the Sieve of Eratosthenes.
>
> Cheers,
>
> Jeremy Smith BSc (Hons)

Cool. A couple of points:
  1) If you want people to use it, you should explain how it works on
your webpage.
  2) As a performance hack, you can multiply the primes > 2, by 2, and
it will still work.
From: Chris Russell
Subject: Re: New Prime Sieving Algorithm
Date: 
Message-ID: <1191281313.145409.68030@g4g2000hsf.googlegroups.com>
On 2 Oct, 00:19, Chris Russell <·····················@gmail.com>
wrote:

>   2) As a performance hack, you can multiply the primes > 2, by 2, and
> it will still work.

Do this after you've squared them not before, sorry.
From: Jens Kruse Andersen
Subject: Re: New Prime Sieving Algorithm
Date: 
Message-ID: <DNhMi.1$nb.0@news.get2net.dk>
Jeremy Smith wrote:
> I'm informing the readers of sci.math (and comp.lang.lisp) that I have
> uploaded a draft of my paper about the Leapfrog Sieve, to
>
>    http://www.geocities.com/jeremyalansmith/leapfrog.htm

> As it says in the paper, this is more an educational tool than a
> mathematical breakthrough. But it is superior to the Sieve of 
> Eratosthenes.

It is a slow variation of the well-known segmented sieve of Eratosthenes.
When people just say "sieve of Eratosthenes" they often refer to the 
segmented version.

-- 
Jens Kruse Andersen