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Forum: Factoring 2013-08-11, 17:40
Replies: 26
Views: 5,180
Posted By wwf
Ah, I see the problem with this method. As...

Ah, I see the problem with this method.
As Silverman mentioned, xk-1+xk+r-1 == N is a possibility.

Since xk-1 = N - xk+r-1 = a, you essentially have found a pair of numbers a and -a MOD N.
It is...
Forum: Factoring 2013-08-11, 03:22
Replies: 26
Views: 5,180
Posted By wwf
I have looked at the first 50 hits for "pollard...

I have looked at the first 50 hits for "pollard rho" and "cycle".
None of the algorithms implement my method above.
When the GCD==N, the algorithms either return failure or the number N.

Both...
Forum: Factoring 2013-08-10, 05:28
Replies: 26
Views: 5,180
Posted By wwf
Can Pollard Rho cycles be used to find a factor?

Pollard's rho algorithm uses a generator function to generate a sequence of numbers xi.
We check for factors by calculating GCD(abs(xi-x2i),N).
If the GCD = 1, we continue to the next i.
If the...
Forum: YAFU 2013-08-07, 04:37
Replies: 260
Views: 60,741
Posted By wwf
Yafu on arm cpu

Has anyone managed to get Yafu working on an arm cpu?
The code seems heavily optimized and I don't see a "generic" path for some functions.

Walter
Forum: Hardware 2013-05-12, 02:00
Replies: 5
Views: 1,323
Posted By wwf
Thanks for the information Jason. Since I...

Thanks for the information Jason.

Since I was going for a 10x improvement, I cannot see this working.
I was managing to fit about 550K primes (primes to 8M) into the device.
This was the...
Forum: Hardware 2013-05-10, 08:27
Replies: 5
Views: 1,323
Posted By wwf
FPGA based NFS sieving

I am making some rough calculations to make a line siever in a large FPGA.
Lattice sieving does not fit well into one device. It is I/O limited due to the number of sieves set up per second.
Line...
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