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Forum: Factoring 2021-04-21, 08:33
Replies: 32
Views: 889
Posted By henryzz
It should reduce the clock speed if it hits 95C....

It should reduce the clock speed if it hits 95C. I don't think you need to worry about it hitting 95C. That said I don't think I would leave it there.
It does feel like the temperature difference is...
Forum: Prime Gap Searches 2021-04-18, 11:08
Replies: 19
Views: 671
Posted By henryzz
I have finally had time to code swapping based on...

I have finally had time to code swapping based on probabilities of offsets being included in a gap. I have based it on the raw probabilities before accounting for offsets. I am unsure whether I need...
Forum: Miscellaneous Math 2021-04-15, 02:30
Replies: 21
Views: 415
Posted By henryzz
A test that is deterministic up to 50m is not...

A test that is deterministic up to 50m is not difficult to find. https://miller-rabin.appspot.com/ has records for this sort of thing.
Forum: NFS@Home 2021-04-14, 10:48
Replies: 124
Views: 12,562
Posted By henryzz
Shouldn't either Y1 or Y0 be negative?

Shouldn't either Y1 or Y0 be negative?
Forum: Aliquot Sequences 2021-04-13, 16:31
Replies: 1,087
Views: 90,956
Posted By henryzz
Has anyone considered whether SNFS polynomials...

Has anyone considered whether SNFS polynomials exist for s((x*y)^n)?
s(38^100)=36*38^100-2^101-19^101 for example. I can't help thinking there is SNFS polynomial for this but I can't see it.
Forum: Number Theory Discussion Group 2021-04-13, 09:55
Replies: 7
Views: 126
Posted By henryzz
https://en.m.wikipedia.org/wiki/Erd%C5%91s%E2%80%9...

https://en.m.wikipedia.org/wiki/Erd%C5%91s%E2%80%93Kac_theorem#:~:text=The%20Erd%C5%91s%E2%80%93Kac%20theorem%20means,requires%20on%20average%20three%20primes.
The average number of factors is...
Forum: Factoring 2021-04-07, 17:45
Replies: 23
Views: 813
Posted By henryzz
https://sourceforge.net/p/ggnfs/code/441/tree/trun...

https://sourceforge.net/p/ggnfs/code/441/tree/trunk/src/pol5/Readme-ggnfs.txt suggests pol5 also came from ``T. Kleinjung and/or Jens Franke''

This was used alongside msieve cpu polynomial...
Forum: Hardware 2021-04-07, 15:19
Replies: 19
Views: 1,531
Posted By henryzz
Did this test fit in the L3 cache? One or two...

Did this test fit in the L3 cache? One or two workers might fit better. The AVX-512 benchmark could be running into bandwidth issues. More but slower cores is definitely the efficient way to go....
Forum: Prime Gap Searches 2021-04-06, 22:21
Replies: 3
Views: 199
Posted By henryzz
Matt Parker video about prime gaps

I have just watched a youtube video about prime gaps that may be interesting to people here.
SMsTXQYgbiQ
Forum: Prime Gap Searches 2021-04-06, 12:52
Replies: 19
Views: 671
Posted By henryzz
@CraigLo How are you working out your...

@CraigLo How are you working out your probabilities? The obvious calculation is to sum the probabilities for each start point x < 0 that a gap >=xx merit starts there. However, these probabilities...
Forum: Prime Gap Searches 2021-04-06, 12:39
Replies: 19
Views: 671
Posted By henryzz
I think there are a few approaches to this. I...

I think there are a few approaches to this.
I think you are suggesting randomly pick one that matches the res in question, randomize the others and then optimize everything using the previously...
Forum: Hardware 2021-04-06, 12:21
Replies: 19
Views: 1,531
Posted By henryzz
I think it is standard practice for mobile cpus...

I think it is standard practice for mobile cpus to have more execution units as they are less likely to have a discrete gpu.
Forum: Factoring 2021-04-06, 08:40
Replies: 23
Views: 813
Posted By henryzz
Once upon a time GGNFS was a collection of...

Once upon a time GGNFS was a collection of programs that would do a complete factorization itself using the factLat.pl script to pull them together. Many of these tools haven't been used in years for...
Forum: YAFU 2021-04-05, 21:09
Replies: 12
Views: 413
Posted By henryzz
In reality NFS has similar requirements to qs for...

In reality NFS has similar requirements to qs for how many relations are needed. We just count them differently which messes that up. In QS we tend to count full and combined relations while in nfs...
Forum: Prime Gap Searches 2021-04-05, 17:44
Replies: 19
Views: 671
Posted By henryzz
As far as I understand it optimising a range of x...

As far as I understand it optimising a range of x should provide better odds of finding a gap of size y with y < x. We just need to work out the correct ratio of x and y.
Forum: Prime Gap Searches 2021-04-05, 15:25
Replies: 19
Views: 671
Posted By henryzz
220k is nearly a record gap at this size(it was...

220k is nearly a record gap at this size(it was until recently). I would expect a lot of records in 120k-160k range. This size range would be better for maximising record gaps/day rather than the...
Forum: Prime Gap Searches 2021-04-05, 13:22
Replies: 19
Views: 671
Posted By henryzz
That's a nice improvement. How did you find this?...

That's a nice improvement. How did you find this?



I think this shows that it is necessary to pay attention to the target gap size with these searches.
Forum: Prime Gap Searches 2021-04-02, 17:39
Replies: 19
Views: 671
Posted By henryzz
My title is: How do dynamic changes in risk...

My title is: How do dynamic changes in risk factors impact outcomes in patients with atrial fibrillation?
Forum: Prime Gap Searches 2021-04-02, 15:44
Replies: 45
Views: 15,518
Posted By henryzz
We only keep the smallest for each gap size. A...

We only keep the smallest for each gap size. A version of https://primegap-list-project.github.io/lists/prime-gaps-high-watermarks/ that also listed gaps that were second best could be quite fun...
Forum: Prime Gap Searches 2021-04-02, 15:22
Replies: 19
Views: 671
Posted By henryzz
I have discovered that my code for optimizing two...

I have discovered that my code for optimizing two primes at once never ran in that example.

A new solution with a score of 6751 which is a 1.85% reduction:

CRT:...
Forum: Factoring 2021-04-01, 18:00
Replies: 32
Views: 889
Posted By henryzz
Ubuntu would be perfectly fine although if you...

Ubuntu would be perfectly fine although if you have a spare Win 10 licence and that would be more convenient there would be very little downside. I would probably run most stuff under WSL2. The only...
Forum: Prime Gap Searches 2021-04-01, 16:03
Replies: 19
Views: 671
Posted By henryzz
I thought it might be useful for me to share my...

I thought it might be useful for me to share my algorithms for optimizing the offsets for one or two primes. Any improvements or questions would be appreciated.

Algorithm for optimizing one prime...
Forum: Prime Gap Searches 2021-04-01, 15:36
Replies: 19
Views: 671
Posted By henryzz
CRT offsets

In the past using CRT offsets has been considered as an alternative to using a divisor to reduce the density of candidates after sieving. This had some success with small primorials but struggled...
Forum: mersenne.ca 2021-03-31, 21:40
Replies: 607
Sticky: mersenne.ca
Views: 69,033
Posted By henryzz
Yafu has a function that tells it how many txx...

Yafu has a function that tells it how many txx have been run. The number of digits (xx) which provides a value of 1 can be found using https://en.wikipedia.org/wiki/Bisection_method. This is also...
Forum: mersenne.ca 2021-03-30, 13:58
Replies: 607
Sticky: mersenne.ca
Views: 69,033
Posted By henryzz
Binary search with different values?

Binary search with different values?
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