- From: "bhelmes_1" <bhelmes@...>
> Subject: square Sieve algorithm / prime numbers on polynoms

This is pretty much the same as any sieve along a polynomial.

>

> A beautifull evening,

>

> i would like to present you a square sieve algorithm to sieve prime

> numbers. The algorithm is more efficent than the sieve of Eratosthenes.

>

> Enjoy it :

> http://www.devalco.de/quadratisches_Siebverfahren_e.htm

I suspect it will fail for some polynomials, as you simply can't

self-seed the prime list in the same way that you do with Eratosthenes.

For example, your algorithm will probably fail for x^2+x+7, as it has

no way of knowing that 9 isn't prime.

From your examples it also appears that you find some primes twice.

It's not "more efficient than the sieve of Eratosthenes" as it

is doing a different task than the sieve of Eratosthenes.

Phil

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http://mail.yahoo.com - Moreover, the base of the algorithm is *only* a conjecture. It might pretty

well fail for large k, even if this is counterintuitive.

On 10/17/05, Phil Carmody <thefatphil@...> wrote:

>

> From: "bhelmes_1" <bhelmes@...>

> > Subject: square Sieve algorithm / prime numbers on polynoms

> >

> > A beautifull evening,

> >

> > i would like to present you a square sieve algorithm to sieve prime

> > numbers. The algorithm is more efficent than the sieve of Eratosthenes.

> >

> > Enjoy it :

> > http://www.devalco.de/quadratisches_Siebverfahren_e.htm

>

> This is pretty much the same as any sieve along a polynomial.

> I suspect it will fail for some polynomials, as you simply can't

> self-seed the prime list in the same way that you do with Eratosthenes.

> For example, your algorithm will probably fail for x^2+x+7, as it has

> no way of knowing that 9 isn't prime.

> From your examples it also appears that you find some primes twice.

>

> It's not "more efficient than the sieve of Eratosthenes" as it

> is doing a different task than the sieve of Eratosthenes.

>

> Phil

>

> () ASCII ribbon campaign () Hopeless ribbon campaign

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>

>

>

>

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