New PRPnet drive discussion

[mdettweiler]

Originally Posted by Lennart

85287*2^1890011+1 is Prime

Nice! It's about time we had another one on port 1300. And this prime is the project's 3rd largest, to boot! (It would be the second largest except for Ian's recent S12 proof yesterday.)

Admin edit: Started new thread related to a new PRPnet drive discussion. See the sieving status here.

Meanwhile, we're nearing n=2M on this search, which is the end of what we currently have loaded into the server. Personally, I would like to see the current effort continue past 2M--we've been hauling in a good catch of big primes so far, and particularly as NPLB's primary efforts pass n=1M, plain old megabits grow increasingly less remarkable, so it's nice to have an opportunity to find bigger primes in an automated team-drive setting.

We would be picking up five additional k's at 2M: 23451 and 60849 for Sierp. even-n, 9267 and 32247 for Sierp. odd-n, and 39687 for Riesel odd-n. These k's are all already at n=2M and currently unreserved.

[Mathew]

mdettweiler,

I disagree with continuing on the this base. For the following reasons/questions:

1) There are numerous prpnet servers already testing base 2.
2) I have seen a want from rogue,vmod, and others for a prpnet server for the 1k's.
3) What were your thoughts on the next range, n=2M-3M?
4) How many primes do you expect for the next range, even with the additional 5k's?
5) How many candidates do you expect for the next range?
a) Is it on par with the last set ~65K?
b) Is there a sieve file ready to go?
6) The heaviest weights are currently still being tested. Are the other 5 k's heavier?
7) Tests are getting longer so please look at how many GHz years it would take for the next range.

I maybe misunderstanding the intent of port 1300. CRUS mods please clarify, what is the intention for port 1300?

[mdettweiler]

Originally Posted by Mathew

mdettweiler,

I disagree with continuing on the this base. For the following reasons/questions:

1) There are numerous prpnet servers already testing base 2.
2) I have seen a want from rogue,vmod, and others for a prpnet server for the 1k's.
3) What were your thoughts on the next range, n=2M-3M?
4) How many primes do you expect for the next range, even with the additional 5k's?
5) How many candidates do you expect for the next range?
a) Is it on par with the last set ~65K?
b) Is there a sieve file ready to go?
6) The heaviest weights are currently still being tested. Are the other 5 k's heavier?
7) Tests are getting longer so please look at how many GHz years it would take for the next range.

I maybe misunderstanding the intent of port 1300. CRUS mods please clarify, what is the intention for port 1300?

Hmm, I see what you mean. The idea we had in mind for port 1300 was to do longish-term efforts on bases with a handful of k's remaining; other efforts, such as the 1k drive, would get their own servers. (I was thinking 1100 for the 1k drive, to capitalize on the mnemonic connection of the second digit "1" with 1-k conjectures.) That said, there may well be other, better directions for port 1300 within its particular area of focus. I mainly threw out the idea of continuing the current drive because it seemed somewhat popular and had been a little neglected prior to the current stint in port 1300; I will admit that I did not do much of any hard number crunching as to exactly what it would involve.

To answer your questions (keeping in mind that I haven't run any hard numbers on a lot of these):

1) Indeed, good point. My thought in this respect was that it still wasn't redundant since (as far as I know) there are no other public servers doing work in the 2M-3M range; base 2 efforts have sometimes been considered preferential at CRUS due to speed advantages, though I suppose that isn't really a big deal now with the latest PFGW and LLR.

2) We definitely have not forgotten about the 1-k drive! It has unfortunately gotten pushed to the side a little with me being pressed for time during the last number of months (since I did technically take responsibility for the development of this effort upon my shoulders at one point back when we were discussing it), but it's definitely planned to happen eventually. The plan is that it will happen alongside whatever we're doing in port 1300.

3) I'm guessing that 2M-3M would take us quite a while to do, in any event; even if Ian and Lennart chipped in for parts of the job like they did for n<2M, it might take us well into next year. My thought was that it would be a long-term project that we could slowly chip away at until an eventual proof.

4) As I mentioned, I haven't run any numbers on this, but I would guess at least one or two; the primes will of course grow scarcer as n increases, but given the number of k's, weights, etc., my gut estimate would be one or two in the whole range.

5) Jean's sieve file that we're using for the current range goes up to n=16M and is sieved to p=50T. Thinking about this just now, 50T does sound rather low for n>2M, so we probably would need more sieving. I hadn't considered this initially; this would be a major point against continuing the effort right away.

6) I'm not sure of the weights, and I don't have the respective sieve files on hand broken down by k, so I would need to do some fiddling to figure this out.

Now that I think about the idea in more depth, I'm beginning to agree with you that we should hold off on continuing; the files will need to be sieved much deeper before we can start LLRing n>2M.

[gd_barnes]

I like the idea of adding the additional k's for these base 2 conjectures and continuing with n>2M. They are very popular, far more popular than previous efforts on this drive, and several of these conjectures have a decent chance of proof over the next few years, which corresponds well with the intent of the drive...that is to test bases <= 32 with just a few k's remaining. Previous efforts have frequently only had 1 or at most 2 people working on them. But as Max said, we are definitely not sieved far enough for n>2M and as Mathew said, there are many base 2 efforts out there on many different projects.

Therefore let's take suggestions on what we could do next on this drive. Whatever we choose, we may (likely) need to stop this drive and either begin or continue sieving the chosen effort before starting the drive again.

Please post your suggestions here keeping in mind that the intent of the drive is to test bases <= 32 with just a few k's remaining, preferrably bases that have already been tested to n>=100K. Alternatively we could also open it up to bases <= 100 but if we do that, I still think it would be best to stick to bases with few k's remaining.

[rogue]

Originally Posted by gd_barnes

Please post your suggestions here keeping in mind that the intent of the drive is to test bases <= 32 with just a few k's remaining, preferrably bases that have already been tested to n>=100K. Alternatively we could also open it up to bases <= 100 but if we do that, I still think it would be best to stick to bases with few k's remaining.

Since port 1300 has been primarily base 2 that it should stay that way. IMO, I think it should have all remaining k for all conjectures with bases that are powers of 2 minus those that are reserved by outside projects, e.g. SoB and TRP.

[gd_barnes]

Originally Posted by rogue

Since port 1300 has been primarily base 2 that it should stay that way. IMO, I think it should have all remaining k for all conjectures with bases that are powers of 2 minus those that are reserved by outside projects, e.g. SoB and TRP.

The current effort is the first time that we've used port 1300 for base 2. We've mainly used it for bases in the 20s & 30s with few k's remaining.

Doing all powers of 2 would mean that we would have somewhere between 60 and 80 k's loaded in the server (SWAG estimate without looking). It would also require a large amount of upfront sieving.

Lennart, Serge, Ian, and others, do you have any thoughts on the matter?

[MyDogBuster]

Lennart, Serge, Ian, and others, do you have any thoughts on the matter?

I'd have 2 servers. The current one for the base 2 stuff and load it with whatever base 2 stuff is out there that is sieved high enough. You can then sieve while that is running.

The second server should have whatever we have sieve files for and let it run as a first come, first processed scenario. It doesn't have to be just 1kers, but whatever is sieved high enough (leave the base 6 and 16 stuff the way they are, manual reservations). I would limit it to any base with 5 or less k's remaining. Again, while those are running, sieve other stuff. I have a bunch of 1kers sieved to 500B for testing to n=200K, but that may not be optimal for others. It is for me. I sieve to lower levels because I usually have 10 to 15 cores PRPing that stuff.
I would be willing to put those 10 to 15 cores on this second server.

I currently have 16 cores on the disabled list.

[rogue]

Originally Posted by gd_barnes

Doing all powers of 2 would mean that we would have somewhere between 60 and 80 k's loaded in the server (SWAG estimate without looking). It would also require a large amount of upfront sieving.

I hadn't looked, but you are correct, there are quite a few of them. I would be interested in helping with some of the sieving. Fortunately all of the power of 2 bases could be done with two sieve files after normalizing to base 2.

[Mathew]

MyDogBuster's second server idea, is the one I would like to participate in.

It falls in line with what I thought port 1300 was for.

[Puzzle-Peter]

I am working on k=9519 which is closing in on n=3M (can't tell for sure as I am away from my boxes for the nest 3 weeks and they're not running.)

As I can put much more power on it manually, I'd like to keep it that way. If everybody agrees to put up a server for all base 2 stuff, I'll release it of course and find something else for those cores.

[Lennart]

I say start 1 or 2 more prpnet servers.

Add all bases with 1k left on one.

the second can be use for other bases.

Upgrade prpnet to 4.3.5

There are much more user using prpnet and there are no problem to switch to another server, and that I think will give much more work done.

If you will countinue base 2 on 1300 we need i big sieving race on on all k's
and make them to at least 5M

Lennart