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Forum: Factoring 2021-05-06, 18:16
Replies: 948
Views: 97,183
Posted By henryzz
Congratulations for finally getting this...

Congratulations for finally getting this problematic number done.
Forum: Prime Gap Searches 2021-05-04, 14:24
Replies: 244
Sticky: Prime Gap News
Views: 50,273
Posted By henryzz
Is that two 3M+ gaps with no known boundaries or...

Is that two 3M+ gaps with no known boundaries or do you know some of the boundary primes?
Forum: GpuOwl 2021-05-02, 21:34
Replies: 2,706
Views: 254,375
Posted By henryzz
That would do it:smile:

That would do it:smile:
Forum: GpuOwl 2021-05-02, 20:56
Replies: 2,706
Views: 254,375
Posted By henryzz
I am a little surprised how much slower that is...

I am a little surprised how much slower that is than the RX 6800. Nvidia OpenCL penalty?
Forum: Prime Gap Searches 2021-05-02, 07:53
Replies: 33
Views: 1,426
Posted By henryzz
Just realized I never responded to this. I...

Just realized I never responded to this.
I think it makes sense that the average gap case would be bad. It punishes central candidates so strongly it ignores wider candidates. I would imagine for...
Forum: Prime Gap Searches 2021-04-25, 19:24
Replies: 33
Views: 1,426
Posted By henryzz
The offset is 1 mod 2, 2 mod 3, 4 mod 5 etc for...

The offset is 1 mod 2, 2 mod 3, 4 mod 5 etc for primes up to 7993
Forum: Software 2021-04-25, 15:51
Replies: 281
Views: 21,402
Posted By henryzz
I forgot it was the factor and not the composite....

I forgot it was the factor and not the composite. :down:
Forum: Software 2021-04-25, 10:55
Replies: 281
Views: 21,402
Posted By henryzz
Is there any logic behind trying to identify...

Is there any logic behind trying to identify which starting values actually do P+1? For example, if we multiply the original composite by a small prime that will be found with very small P+1 bounds...
Forum: Prime Gap Searches 2021-04-25, 10:49
Replies: 33
Views: 1,426
Posted By henryzz
Sorry, I thought I had posted that. I have added...

Sorry, I thought I had posted that. I have added a couple more attempts that I hope should be better. They optimize for gaps of 20 and 15 merit. These attempts have much fewer deviations from a CRT...
Forum: Other Mathematical Topics 2021-04-24, 21:59
Replies: 4
Views: 236
Posted By henryzz
It would be nice to see a version of table 7 with...

It would be nice to see a version of table 7 with primes removed if their branch has terminated in a future iteration(numbers should be monotone increasing in this case).

It is a shame that the...
Forum: Factoring 2021-04-21, 08:33
Replies: 32
Views: 1,110
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: 33
Views: 1,426
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: 24
Views: 594
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: 130
Views: 13,399
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: 1,093
Views: 96,399
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: 157
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: 874
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: 1,640
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: 272
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: 33
Views: 1,426
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: 33
Views: 1,426
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: 1,640
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: 874
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: 16
Views: 648
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: 33
Views: 1,426
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.
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