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## Re: Ruler, compass and prime power

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• ... Factorization would be quicker if you would use msieve. Incidentally, angle trisection was considered in
Message 1 of 33 , Nov 1, 2011
"mikeoakes2" <mikeoakes2@...> wrote:

> N is divisible by every prime p = 1 (mod 4) and p<=137.
> The quotient is composite, but too hard for pari-GP to
> factorise (as yet).

Factorization would be quicker if you would use msieve.

Incidentally, angle trisection was considered in
http://people.csail.mit.edu/rivest/BurmesterRivestShamir-geometric.pdf
> We propose the field of "geometric cryptography," where messages
> and ciphertexts may be represented by geometric quantities such
> as angles or intervals, and where computation is performed by ruler
> and compass constructions.

David
• ... I saw that, thanks David! Since this is a list dedicated to primes, I ll also just mention briefly that yafu has one of the fastest sieve of Eratosthenes
Message 33 of 33 , Nov 8, 2011
--- In primenumbers@yahoogroups.com, David Cleaver <wraithx@...> wrote:
>
>

>
> Ben, I've been trying to tell them how awesome Yafu is! You can see my message
> here:
>
> If anyone needs any factoring utilities, yafu should be first on the list. Then
> some combination of yafu/msieve/ggnfs to factor larger numbers. I tried to
> spell it all out in the above post. Hopefully I didn't misrepresent any info
> about yafu. Please correct me if I was wrong. If anyone has any questions,
> feel free to ask on this list.
>
> -David C.
>
> P.S. For full disclosure, I helped contribute a small amount of code to yafu. :)
>

I saw that, thanks David!

Since this is a list dedicated to primes, I'll also just mention briefly that yafu has one of the fastest sieve of Eratosthenes implementations I'm aware of, for generating lists of primes in arbitrary ranges up to 10^19. Maybe that is useful to folks here too.

cheers,
- ben.
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