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Message boards : Project Staging Area : The extended Sierpinski Problem

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JimB
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Message 21943 - Posted: 19 Mar 2010 | 4:20:17 UTC

Welcome to the extended Sierpinski Problem

In 1962, John Selfridge discovered the Sierpinski number k = 78557, which is believed to be the smallest such number. The Sierpinski problem attempts to prove that it is, in fact, the smallest Sierpinski number. In 1976, Nathan Mendelsohn determined that the second provable Sierpinski number is the prime k = 271129. The prime Sierpinski problem attempts to prove that this is the smallest prime Sierpinski number.

Should both of these problems be solved, k = 78557 will be established as the smallest Sierpinski number, and k = 271129 will be established as the smallest prime Sierpinski number. However, this would not prove that k = 271129 is the second provable Sierpinski number. Since the prime Sierpinski problem is testing all prime k's for 78557 < k < 271129, all that's needed is to test the composite k's for 78557 < k < 271129. Thus, the extended Sierpinski problem is established.

As of October 2012, there remain 14 composite k's for which no primes have been found. They are as follows:

91549, 94373, 99739, 131179, 161041, 163187, 193997, 200749, 202705, 209611, 211195, 227723, 229673, 238411

The most current results can be found here: PSA PRPNet extended Sierpinski Problem. For a more detailed history and status of the extended Sierpinski problem, please visit Wilfrid Keller's The Sierpiński Problem: Definition and Status.

To participate in the search, add the following server/port to your prpclient.ini file (adjust project share accordingly):

server=ESP:100:1:prpnet.mine.nu:13005

NOTE: For those new to PRPNet, please see the Welcome to PRPNet post.

Server Stats

Primes found by PrimeGrid

The most current results can be found here: PSA PRPNet extended Sierpinski Problem
198677*2^2950515+1 found by Ardo van Rangelrooij on 23 October 2012
147559*2^2562218+1 found by Rodger Ewing on 27 March 2012
123287*2^2538167+1 found by Timothy D Winslow on 14 March 2012
250463*2^1316921+1 found by Rodger Ewing on 30 April 2010
219259*2^1300450+1 found by Lennart Vogel on 29 Appil 2010
154801*2^1305084+1 found by Rodger Ewing on 29 April 2010
98749*2^1045226+1 found by Rodger Ewing on 09 April 2010
107929*2^1007898+1 found by Brian Carpenter on 05 April 2010
85013*2^699333+1 found by Steve Martin on 25 March 2010
225679*2^620678+1 found by Lennart Vogel on 24 March 2010
187681*2^573816+1 found by Lennart Vogel on 23 March 2010
168587*2^545971+1 found by Steve Martin on 23 March 2010
208381*2^463068+1 found by Lennart Vogel on 22 March 2010
167957*2^417463+1 found by Brian Carpenter on 21 March 2010
185449*2^435402+1 found by Rodger Ewing on 21 March 2010
261203*2^354561+1 found by Lennart Vogel on 20 March 2010
227753*2^91397-1 found by Lennart Vogel 13 March 2010

geeknik

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Message 21965 - Posted: 20 Mar 2010 | 16:07:49 UTC

Cool. Just started 2 dual cores and a quad core on this. =)
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Michael Goetz
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Message 21970 - Posted: 21 Mar 2010 | 0:47:52 UTC - in response to Message 21943.

The server stats page shows the value of K=263329 as being one of the k's being searched. But your post, and the Sierpinski problem web page you reference both list 261203 as the highest K to be searched (and it was eliminated just today by Lennart!!!).

What's the story with 263329?

Thanks,
Mike

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John
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Message 21975 - Posted: 21 Mar 2010 | 1:55:13 UTC - in response to Message 21970.

The server stats page shows the value of K=263329 as being one of the k's being searched. But your post, and the Sierpinski problem web page you reference both list 261203 as the highest K to be searched (and it was eliminated just today by Lennart!!!).

What's the story with 263329?

Nice catch!!!

In the preliminary work to prepare the project, we double checked all primes to establish minimal n. There's one remaining prime left in that effort. Referencing The Sierpiński Problem: Definition and Status page, you can see that k=263329 was found prime at n=406934 by Kevin O'Hare on 05 Aug 2006.

All other primes have been confirmed minimal for their specific k.

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Message 21976 - Posted: 21 Mar 2010 | 2:38:32 UTC - in response to Message 21975.

I guess I might as well shoot for really understanding the rest of it...

On the server stats page, what is the difference between the "lowest primes" and "PRPs/Primes" columns? For that matter, what does PRP stand for?

Similar or identical question on the user stats page: What's the difference between "PRPs found" and "Primes found"?

Lastly, on the user primes page, what's the difference between candidates and the primes?

Thanks again,
Mike
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John
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Message 21978 - Posted: 21 Mar 2010 | 4:09:06 UTC - in response to Message 21976.

First note that PRPNet is still under development so there are still bugs being worked on.

On the server stats page, what is the difference between the "lowest primes" and "PRPs/Primes" columns? For that matter, what does PRP stand for?

Lowest prime is the lowest n for that k that results in a prime. The PRPs/Primes column is a count column identifying how many PRPs/Primes have been found. PRP stands for "probable prime". Some of the tests available in PRPNet only test for probable primes. They must further be tested for primality.

For the page referenced, the PRPs/ Primes column should display a 1 for where primes have been found. This is a bug that's already fixed in the next release.

Similar or identical question on the user stats page: What's the difference between "PRPs found" and "Primes found"?

Lastly, on the user primes page, what's the difference between candidates and the primes?

Candidate is a term given to numbers that are being tested for primality. Thus, a candidate can either end up composite or prime.
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Message 21984 - Posted: 21 Mar 2010 | 15:20:50 UTC

i've got mail from john and it clears my confusion.
i saw geeknik had the last prime pending for over 4h, but then it disappeared and pilgrim got the task and reported it as prime.

wouldnt it be fair, if both of them get the prime as dc accounted?

EDIT: which version of prpnet should be used instead of 3.2.1b?
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Message 21987 - Posted: 21 Mar 2010 | 17:41:32 UTC - in response to Message 21984.

i saw geeknik had the last prime pending for over 4h, but then it disappeared and pilgrim got the task and reported it as prime.

wouldnt it be fair, if both of them get the prime as dc accounted?

EDIT: which version of prpnet should be used instead of 3.2.1b?

Yes, we can find a way for them to share credit as double checkers. Note that the prime was already found by Kevin O'Hare on 05 Aug 2006. This was just a DC effort to confirm that it was the minimal prime for that k.

As for which version to use, 3.2.1-beta is fine as long as you comment out the pfgw call in the master_prpclient.ini file:

Windows
pfgw=pfgw.exe

Linux
pfgw=./pfgw

By commenting out pfgw, this client will not be able to participate in the Factorial and Primorial prime search ports.

port 12002: FPS
port 12008: PRS

However, it will work on all other ports.
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Message 21995 - Posted: 21 Mar 2010 | 20:28:56 UTC

I'm shutting down PRPNet on all of my machines. I'm going to install BOINC on all of the machines since that project is stable and I will get credit for all of the work that I do. I have over 30 cores running various PrimeGrid projects and I can't keep track of what version is on what machine, so I'll just simplify the issue and run BOINC. =)
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HAmsty
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Message 22000 - Posted: 21 Mar 2010 | 21:28:36 UTC

grats geeknik, you've found a new one.
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Message 22001 - Posted: 21 Mar 2010 | 21:34:17 UTC - in response to Message 21995.

Grats, Geeknik, for knocking off one of the k's!!!
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geeknik

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Message 22006 - Posted: 21 Mar 2010 | 22:56:29 UTC

Thanks for the congrats! If it wasn't for the posts here, I wouldn't know that I knocked one of the Ks out of the search. :) According to my PC, I found 263329*2^406934+1 at 6:31AM local time (11:31 UTC). Server shows Pilgrim got credit for it at 13:44 UTC. But whatever, I'm not going to lose sleep over it. These machines will be doing BOINC by tomorrow morning. :)
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Michael Goetz
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Message 22007 - Posted: 22 Mar 2010 | 1:32:49 UTC - in response to Message 22006.

Thanks for the congrats! If it wasn't for the posts here, I wouldn't know that I knocked one of the Ks out of the search. :) According to my PC, I found 263329*2^406934+1 at 6:31AM local time (11:31 UTC). Server shows Pilgrim got credit for it at 13:44 UTC. But whatever, I'm not going to lose sleep over it. These machines will be doing BOINC by tomorrow morning. :)

Nope, you actually found 2 primes. The one we were congratulating you about was the other one; the one you found all by yourself (k=167957).

The rest of us mere mortals are jealous!
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Message 22013 - Posted: 22 Mar 2010 | 5:34:59 UTC

Pilgrim killed another k, k=185449.

Congratulations
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Message 22015 - Posted: 22 Mar 2010 | 11:31:23 UTC

grats lennart.

you eliminated another k, k=208381 ... 26 remaining...
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Lennart SM5YMT
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Message 22016 - Posted: 22 Mar 2010 | 11:50:28 UTC - in response to Message 22015.

grats lennart.

you eliminated another k, k=208381 ... 26 remaining...

Thanks :) I hope we can nock out some more today :)

Lennart

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Message 22025 - Posted: 22 Mar 2010 | 17:40:16 UTC

Congratulations Everyone!

The leading edge has now reached "Top 5000" reportable. Well done!!! Since 14 March when this effort was in its prep stage, 8 new primes have been found (3 in the last two days). There are now 26 candidates remaining.

Up to n=1M has now been loaded into the database. Thank you to everyone for contributing to this effort. :)
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Message 22038 - Posted: 22 Mar 2010 | 20:37:20 UTC - in response to Message 22025.

Excellent!

Please post top5000 reporting details? I'd guess finder, PrimeGrid, SrSieve, LLR ? ie same as PPS LLR?
(only asking since the server publishes the prime data)

I presume the usual Fermat Number divisibility checks should be done at some point too?
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Message 22041 - Posted: 22 Mar 2010 | 22:55:17 UTC - in response to Message 22038.

Please post top5000 reporting details? I'd guess finder, PrimeGrid, SrSieve, LLR ? ie same as PPS LLR?
(only asking since the server publishes the prime data)

I presume the usual Fermat Number divisibility checks should be done at some point too?

Since primes are reportable to the "Top 5000", we are experimenting with the prime suppression feature available in PRPNet. It is set, so now primes should not be displayed. Let's find one now and test it out. :)

Yes, reporting will be what you guessed: prime finder, PrimeGrid, Srsieve, LLR. And yes, with PFGW commented out, we are testing for xGFN divisibility outside PRPNet.
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Message 22054 - Posted: 23 Mar 2010 | 13:12:39 UTC - in response to Message 21943.

Just to be clear, if we're actually to solve the "extended Sierpinski problem" (proving that 271129 is the second Sierpinski number) , we not only need to find primes for all the k's in this project, but we also have to have found primes for all the k's in both the Sierpinski problem (SoB) and the prime Sierpinski problem.

Is that correct, or is there some other inherent value in proving that these composite k's not covered by the other two projects have primes?

Mike

P.S. And congrats to whomever just found the latest prime for k=168587! (The stat pages are acting up so I'm not sure whom it was.)
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Message 22055 - Posted: 23 Mar 2010 | 13:58:26 UTC

Steve_Martin@SETI.USA seems to be the lucky one.

grats Steve
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Message 22056 - Posted: 23 Mar 2010 | 14:03:09 UTC - in response to Message 22055.

Steve_Martin@SETI.USA seems to be the lucky one.

Yes, congratulations to Steve Martin. Unfortunately, the suppress feature did not work. Whenever anyone attempted to access the user_primes.html page, it would take down all the stats. Therefore, we had to disable the feature. All stats pages are working fine now.

Now if we can just get Steve to see his emails. :) He's got 2 primes, 1 also from PRPNet PPSE.

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Message 22057 - Posted: 23 Mar 2010 | 16:26:28 UTC

the problem persists, stats are down and lennart found another prime :)

grats lennart, again
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Message 22058 - Posted: 23 Mar 2010 | 16:38:50 UTC - in response to Message 22057.

the problem persists, stats are down and lennart found another prime :)

Yes, it would help if we updated the correct ini file. The ESP port was still set for suppress. It's corrected now.
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Message 22074 - Posted: 24 Mar 2010 | 3:03:13 UTC - in response to Message 22054.

Just to be clear, if we're actually to solve the "extended Sierpinski problem" (proving that 271129 is the second Sierpinski number) , we not only need to find primes for all the k's in this project, but we also have to have found primes for all the k's in both the Sierpinski problem (SoB) and the prime Sierpinski problem.

That's it in a nutshell. :)

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Message 22080 - Posted: 24 Mar 2010 | 10:44:14 UTC

Looks like the stats pages are down again.
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Message 22081 - Posted: 24 Mar 2010 | 10:55:25 UTC - in response to Message 22080.

Looks like the stats pages are down again.

Yes but now it is up :)

as before it was a new prime causing the downtime

It does not help to set unhide=0

becuse it will be marked hidden when it is recived , after that it can take up to 10 min befor server unhide the primes.

We are working with Mark on those problem.

Thank's to all who help us here. I think it is fun :)

Lennart
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Message 22098 - Posted: 25 Mar 2010 | 2:49:16 UTC

I'm getting "pgllr.mine.nu:9000 connect to socket failed" trying to get new tasks to crunch.

EDIT: And, of course, moments after posting that, it starts working again!
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Message 22099 - Posted: 25 Mar 2010 | 4:54:37 UTC - in response to Message 22056.

Steve_Martin@SETI.USA seems to be the lucky one.

Yes, congratulations to Steve Martin. Unfortunately, the suppress feature did not work. Whenever anyone attempted to access the user_primes.html page, it would take down all the stats. Therefore, we had to disable the feature. All stats pages are working fine now.

Now if we can just get Steve to see his emails. :) He's got 2 primes, 1 also from PRPNet PPSE.

Have the e-mails, There is a mix up with reporting passwords, John B. is helping out with the problem. I hope he can fix it.
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Message 22103 - Posted: 25 Mar 2010 | 12:44:31 UTC - in response to Message 22099.

Steve,

Congrats on finding another prime!
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Message 22106 - Posted: 25 Mar 2010 | 13:23:37 UTC

I have been watching this thread and seeing the primes fall rather quickly. Was this expected to happen so fast? It sounds like this problem has existed for quite a while, and all of a sudden BAM! a ton of them are eliminated. Just was wondering. Great job by all!
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Message 22108 - Posted: 25 Mar 2010 | 13:42:30 UTC - in response to Message 22106.

I have been watching this thread and seeing the primes fall rather quickly. Was this expected to happen so fast? It sounds like this problem has existed for quite a while, and all of a sudden BAM! a ton of them are eliminated. Just was wondering. Great job by all!

I don't know enough about the subject to comment on the expected distribution of the primes for the various k's, but one thing is obvious: The processing time for the lower n's is MUCH faster than for higher n's. As a result, in the first few days, a tremendous number of k/n pairs were tested. Even if the distribution of primes over the range of n's is constant, you would expected the rate (as compared to time) of discoveries to drop off rapidly, even if the rate of discovery vs. the number of WUs remains constant.

Processing time today for each task is almost quadruple what it was when the project went public a few days ago as a result of n increasing from the 300K range to the 700K range.

On the positive side, every prime we find knocks a k out of the pool for future testing, so while each test takes longer, there's less testing to be done.

On the negative side, Seventeen or Bust still has 6 k's remaining and n is in the 17 million range, with task run-times roughly 1,000 times longer than the ESP tasks we're running in the 700K range. I don't think anyone expects this to be completed quickly.
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Message 22109 - Posted: 25 Mar 2010 | 14:42:42 UTC - in response to Message 22108.

Well the search is for the 2nd lowest sierpinski number. That's not quite like searching for the first.

Are the 3rd and 4th lowest of same interest?

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Message 22111 - Posted: 25 Mar 2010 | 16:00:40 UTC - in response to Message 22109.

Actually, it's worse than searching for the first, because we need this project *and* SoB *and* PSP to complete to be able to prove this is the 2nd! And I suspect that all 3 projects will likely need to continue to ludicrous levels to kill off each of the last primes.

I don't see the 3rd or 4th being of particular interest at this time. ESP is effectively an opportunistic "fill-in", and that's a good thing in my opinion.
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Message 22137 - Posted: 26 Mar 2010 | 18:01:48 UTC

Is there anyone else running a PS3 here in PSA?

I would just love to get a prime on mine

Steve
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Message 22192 - Posted: 29 Mar 2010 | 14:24:51 UTC - in response to Message 22137.

Is there anyone else running a PS3 here in PSA?

Not at the time, but sometimes especially for challenges PS3 is very helpful.
Mine seems to have a fan problem and gets very loud, although I'm removing the dust inside from time to time.

BTW I provide the prpclient-bundle for PS3, so if you ever experience trouble with that just let me know.
If you're interested I also got a genefer version which runs on the SPUs or even CUDA although I only tested the latter one in emulation-mode. But they're both a little bit unstable.
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Message 22200 - Posted: 29 Mar 2010 | 22:29:49 UTC

You guys running PS3s, don't upgrade to Sony's new 3.21 firmware. It kills the Other OS option on ALL pre-slim PS3s. :)

http://blog.eu.playstation.com/2010/03/29/ps3-firmware-3-21-coming-april-1st/
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Message 22205 - Posted: 30 Mar 2010 | 4:07:18 UTC - in response to Message 22200.

You guys running PS3s, don't upgrade to Sony's new 3.21 firmware. It kills the Other OS option on ALL pre-slim PS3s. :)

http://blog.eu.playstation.com/2010/03/29/ps3-firmware-3-21-coming-april-1st/

Mixed emotions over this. One, sadness that Sony could pull such a dick move. Two, glee: if I can't have prime crunching fun on my PS3 (I own a Slim), no one can. I'm a bad person.

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Message 22216 - Posted: 30 Mar 2010 | 14:33:18 UTC - in response to Message 22205.

Two, glee: if I can't have prime crunching fun on my PS3 (I own a Slim), no one can. I'm a bad person.

Maybe you can in future, as soon as the firmware is modded to even boot linux on a slim.
\$ony declared the war, now they have to bear with the consequences. Bad marketing as always on \$ony's side.

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Message 22231 - Posted: 30 Mar 2010 | 21:56:22 UTC - in response to Message 22111.

Actually, it's worse than searching for the first, because we need this project *and* SoB *and* PSP to complete to be able to prove this is the 2nd! And I suspect that all 3 projects will likely need to continue to ludicrous levels to kill off each of the last primes.

I don't see the 3rd or 4th being of particular interest at this time. ESP is effectively an opportunistic "fill-in", and that's a good thing in my opinion.

Yes, as Vato points out, the extended Sierpinski problem is the most Challenging of the three projects. All three projects must complete in order to prove that k=271129 is the second Sierpinski number.

Regarding the next few Sierpinski numbers, Wilfrid Keller has shared the following information:

I have just verified that between 271129 and 271577, the 2nd and 3rd proven Sierpinski numbers, there is certainly no other. So the 2nd and 3rd are anyway known to be _consecutive_.

The list continues as follows:

k = 78557, 271129, 271577, 322523, 327739, ...

Then, for 322523 and 327739 I could also quickly show that they are consecutive Sierpinski numbers.

Therefore, should the extended Sierpinski problem prove that k=271129 is the second Sierpinski number, then 271577 will also be proven as the third Sierpinski number.

To prove the fourth Sierpinski number, it must be shown that no prime k*2^n+1 exists for 271577<k<322523. In doing so, the fifth Sierpinski number, k=327739, will also be proven. However, at this time, there is no particular interest in proving that k=322523 is the fourth Sierpinski number.
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Message 22232 - Posted: 30 Mar 2010 | 22:17:11 UTC

ESP Update

The initial goal of n=500K was quickly achieved and soon the secondary goal of n=1M will be reached. What started out as an interesting side project has now grown into a full-fledged search. Thank you to everyone who has contributed so far.

However, at n=1M, the project will be suspended as further sieving is required. Due to limited resources, only 1M-3M is being sieved. This is definitely not ideal. If further interest remains with this project, then a consideration will be given to establishing an ESP sieve effort in the sieving thread and expanding the max n.

Thank you once again for making this such a successful search.
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Message 22278 - Posted: 2 Apr 2010 | 5:46:38 UTC

Number of tests went down. will there be a lucky punch on one k? ;-)
____________

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Message 22279 - Posted: 2 Apr 2010 | 8:52:03 UTC

All tests have been sent out. :)

[2010-04-02 08:48:36 GMT] ESP: INFO: No available candidates are left on this server.
____________

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Message 22280 - Posted: 2 Apr 2010 | 8:57:34 UTC - in response to Message 22279.

Yep ! ;-) just right in time to move over to the PFDMC and get some work done before 18UTC
____________

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Message 22283 - Posted: 2 Apr 2010 | 12:25:14 UTC - in response to Message 22232.

If further interest remains with this project, then a consideration will be given to establishing an ESP sieve effort in the sieving thread and expanding the max n.

____________

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Message 22352 - Posted: 5 Apr 2010 | 16:48:03 UTC

I have eliminated k=107929. 303413 digits. Not bad. =)
____________
FUCK THIS PROJECT AND THEIR COMMIE BULLSHIT POLITICS

Lennart SM5YMT
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Message 22353 - Posted: 5 Apr 2010 | 17:19:04 UTC - in response to Message 22352.

I have eliminated k=107929. 303413 digits. Not bad. =)

Well done :)

Congrats .....

Lennart

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Message 22354 - Posted: 5 Apr 2010 | 18:09:30 UTC - in response to Message 22283.

If further interest remains with this project, then a consideration will be given to establishing an ESP sieve effort in the sieving thread and expanding the max n.

I would also be very interested in helping sieve for this project.

P.S. Congrats on the latest k, geeknik!

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Message 22356 - Posted: 5 Apr 2010 | 19:38:57 UTC

I don't sieve anymore (unless I get a badge for it), but I will support those who do, so please, get some people sieving so I can knock a few more Ks off the list. =)
____________
FUCK THIS PROJECT AND THEIR COMMIE BULLSHIT POLITICS

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Message 22379 - Posted: 7 Apr 2010 | 1:53:17 UTC

ESP Sieving

ESP sieving has been opened in the PST forum. You can access it here: ESP Sieving Reservation
____________

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Message 22412 - Posted: 9 Apr 2010 | 13:44:47 UTC

Prime Found!!!

Another k eliminated: 98749*2^1045226+1 is prime! Found by Pilgrim on Fri Apr 9 12:23:05 2010. The prime is 314650 digits and currently enters the Top 5000 list at 295th place.

20 k's remain

Congratulations to Pilgrim and to everyone else participating.
____________

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Message 22702 - Posted: 22 Apr 2010 | 11:31:57 UTC

will there be any PSA Credit awarded for this effort?
____________

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Message 22705 - Posted: 22 Apr 2010 | 12:23:05 UTC - in response to Message 22702.

will there be any PSA Credit awarded for this effort?

Yes, ESP is within the PSA.
____________

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Message 22830 - Posted: 29 Apr 2010 | 18:32:25 UTC

Prime Found!!!

Another k eliminated: 219259*2^1300450+1 is prime! Found by Lennart (sm5ymt} on Thu Apr 29 09:02:01 2010. The prime is 391480 digits and currently enters the Top 5000 list at 188th place.

19 k's remain

Congratulations to Lennart and to everyone else participating.
____________

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Message 22831 - Posted: 29 Apr 2010 | 18:36:13 UTC - in response to Message 22830.

Nice! I look forward to the new sieve file. :)

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Message 22833 - Posted: 29 Apr 2010 | 18:56:12 UTC - in response to Message 22831.

Nice! I look forward to the new sieve file. :)

a new sievefile is done.

ESP3M_60T.abcd

In HFS

Lennart

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Message 22836 - Posted: 30 Apr 2010 | 0:21:32 UTC

Prime Found!!!

Another k eliminated: 154801*2^1305084+1 is prime! Found by Roger (Pilgrim} on Thu Apr 29 23:45:44 2010. The prime is 392875 digits and currently enters the Top 5000 list at 187th place.

18 k's remain

Congratulations to Roger and to everyone else participating.
____________

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Message 22839 - Posted: 30 Apr 2010 | 10:26:55 UTC - in response to Message 22836.

Prime Found!!!

Another k eliminated: 250463*2^1316921+1 is prime! Found by Roger (Pilgrim} on Fri Apr 30 04:31:18 2010. The prime is 396439 digits and currently enters the Top 5000 list at 183rd place.

17 k's remain

Congratulations to Roger and to everyone else participating.

Lennart

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Message 22882 - Posted: 3 May 2010 | 2:15:43 UTC

stop it Roger .. leave some for the rest of us.. :p

but seriously.. keep up the good work..

John
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Message 24300 - Posted: 14 Jun 2010 | 3:38:58 UTC - in response to Message 22882.

stop it Roger .. leave some for the rest of us.. :p

OK Roger, you can start finding primes again. :)

After the early success, it looks like we've settled down into the stubbornness of this conjecture. Hopefully this will make the next prime, when found, that much more rewarding.

Thank you to all who continue to plug away with this search. Best of Luck!

____________

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Message 35205 - Posted: 12 Apr 2011 | 18:07:25 UTC - in response to Message 22192.

Развейте тему дальше. Интересно узнать подробности!!!

Полезный сайт! Все красиво сделано.

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Message 37122 - Posted: 17 Jun 2011 | 21:28:07 UTC - in response to Message 24300.

stop it Roger .. leave some for the rest of us.. :p

OK Roger, you can start finding primes again. :)

After the early success, it looks like we've settled down into the stubbornness of this conjecture. Hopefully this will make the next prime, when found, that much more rewarding.

Thank you to all who continue to plug away with this search. Best of Luck!

Well, it's been over a year since the above post. Never did we anticipate the level of stubbornness of those primes. 17 k's still remain and the leading edge of the search is at n=2442152.
____________

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Message 37135 - Posted: 18 Jun 2011 | 11:12:24 UTC

The ESP stats showing still 20k left. Missed I something?

John
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Message 37136 - Posted: 18 Jun 2011 | 12:52:00 UTC - in response to Message 37135.

The ESP stats showing still 20k left. Missed I something?

3 k's with primes made it accidentally into the last candidate upload. Notice that all 3 have "0 Count Untested" and "0 In Progress". Although the 120 tests combined were not necessary, we wanted to make sure people still received credit for crunching them.
____________

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Message 46066 - Posted: 3 Jan 2012 | 16:29:26 UTC

the server

extended Sierpinski Problem server=ESP:0:1:pgllr.mine.nu:9000

is down for a while ...
did I missed something?
____________
my current lucky number: 113856050^65536 + 1
PSA-PRPNet-Stats-URL: http://u-g-f.de/PRPNet/

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Message 46142 - Posted: 5 Jan 2012 | 11:43:47 UTC - in response to Message 46066.

the server
extended Sierpinski Problem server=ESP:0:1:pgllr.mine.nu:9000

is down for a while ...
did I missed something?

Bump (I am curious why this is down also)

John
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Message 46542 - Posted: 10 Jan 2012 | 15:06:08 UTC - in response to Message 46066.

the server
extended Sierpinski Problem server=ESP:0:1:pgllr.mine.nu:9000

is down for a while ...
did I missed something?

The server has yet to be restarted from the server crash (25 Dec 2011). Sadly, it was catastrophic for this project. All data was lost. We've been piecing together what we can but it's not pretty. There's no sugar-coating this...it's a mess.

Probably what's on the mind of most people is "did I get my PSA credit?" YES, up to 15 minutes before the server crashed, all credit has been awarded...thanks in large part to your (Uli's) stats.

We have been able to gather info from a snapshot (21 Dec 2011) of where progress was and are planning to load the server based on that data. Therefore, we're looking at 4 days of lost work.

We hope to have the sever back up in the next few days. We apologize for the loss. :(
____________

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Message 46543 - Posted: 10 Jan 2012 | 15:48:34 UTC - in response to Message 46542.

We have been able to gather info from a snapshot (21 Dec 2011) of where progress was and are planning to load the server based on that data. Therefore, we're looking at 4 days of lost work.

We hope to have the sever back up in the next few days. We apologize for the loss. :(

If you know the users who crunched during that time, you might be able to get their prpclient logs to help eliminate some n from testing.

John
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Message 46544 - Posted: 10 Jan 2012 | 16:16:24 UTC - in response to Message 46543.

We have been able to gather info from a snapshot (21 Dec 2011) of where progress was and are planning to load the server based on that data. Therefore, we're looking at 4 days of lost work.

If you know the users who crunched during that time, you might be able to get their prpclient logs to help eliminate some n from testing.

Looking at Uli's stats pages, we're now able to get status within 15 minutes of the crash. Only lost work now are those WU's that were pending.
____________

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Message 46551 - Posted: 10 Jan 2012 | 16:32:23 UTC - in response to Message 46544.

We have been able to gather info from a snapshot (21 Dec 2011) of where progress was and are planning to load the server based on that data. Therefore, we're looking at 4 days of lost work.

If you know the users who crunched during that time, you might be able to get their prpclient logs to help eliminate some n from testing.

Looking at Uli's stats pages, we're now able to get status within 15 minutes of the crash. Only lost work now are those WU's that were pending.

the greatest honor for my work: it isnt useless at all ;-)
if you plan a restart at zero, please let me know: I will save the done work in the ancient port range
____________
my current lucky number: 113856050^65536 + 1
PSA-PRPNet-Stats-URL: http://u-g-f.de/PRPNet/

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Message 46557 - Posted: 10 Jan 2012 | 17:11:14 UTC - in response to Message 46542.

The server has yet to be restarted from the server crash (25 Dec 2011). Sadly, it was catastrophic for this project. All data was lost. We've been piecing together what we can but it's not pretty. There's no sugar-coating this...it's a mess.

We have been able to gather info from a snapshot (21 Dec 2011) of where progress was and are planning to load the server based on that data. Therefore, we're looking at 4 days of lost work.

Losing 4 days of data is bad, but not catastrophic. Losing everything from the beginning would be catastrophic!

ESP hasn't been popular lately, so 4 days is not a whole lot of work. Fortunately. Or unfortunately. Depends on how you look at it, I guess.

Looks like my last ESP WUs were from about the 9th of December, so I don't have any missing results to share.
____________
My lucky number is 75898524288+1

John
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Message 46604 - Posted: 11 Jan 2012 | 3:23:48 UTC - in response to Message 46557.

The server has yet to be restarted from the server crash (25 Dec 2011). Sadly, it was catastrophic for this project. All data was lost. We've been piecing together what we can but it's not pretty. There's no sugar-coating this...it's a mess.

We have been able to gather info from a snapshot (21 Dec 2011) of where progress was and are planning to load the server based on that data. Therefore, we're looking at 4 days of lost work.

Losing 4 days of data is bad, but not catastrophic. Losing everything from the beginning would be catastrophic!

We were only able to recover status...all data was lost, so specifically it was the crash that was catastrophic. n<100k residues and the candidate file are the only data remaining.

The project can survive with good integrity based on status 15 minutes prior to the crash. While it is unfortunate that there are no residues for 100k<n<2497279, it's not the end of the world. Should a DC effort begin in the future, rerunning the range without residues still returns a high confidence in the search space.

The search has resumed on a different server and port. Access can be gained here:
server=ESP:100:1:prpnet.mine.nu:13005

Uli will be moving the old stats to ancient ports and starting anew with this port. Only the primes table was moved over.
____________

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Message 46607 - Posted: 11 Jan 2012 | 4:34:18 UTC - in response to Message 46604.

Ouch.

Do you want whatever residuals I have in logs?
____________
My lucky number is 75898524288+1

John
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Message 46609 - Posted: 11 Jan 2012 | 4:51:03 UTC - in response to Message 46607.

Do you want whatever residuals I have in logs?

Absolutely...some are better than none.
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Message 46696 - Posted: 11 Jan 2012 | 17:52:44 UTC - in response to Message 46604.

Uli will be moving the old stats to ancient ports and starting anew with this port. Only the primes table was moved over.

Done!
____________
my current lucky number: 113856050^65536 + 1
PSA-PRPNet-Stats-URL: http://u-g-f.de/PRPNet/

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Message 49043 - Posted: 6 Feb 2012 | 20:57:30 UTC

ESP port has been down for quite a while.

Lennart SM5YMT
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Message 49059 - Posted: 6 Feb 2012 | 22:03:12 UTC - in response to Message 49043.

It is up now :)

Lennart

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Message 49312 - Posted: 10 Feb 2012 | 11:00:34 UTC - in response to Message 46607.

Ouch.

Do you want whatever residuals I have in logs?

Do you still need residuals? I have all the logs (test_results.log) since I started PRPnet. The problem is that old versions of the program didn't store the port name in the log, so I cannot just "fgrep ESP" .... (well, I found only a dozen of them this way, among 1,065).

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Message 51540 - Posted: 14 Mar 2012 | 14:51:24 UTC

Congratulations again Pooh_Bear, you are a lucky man.

16k left

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Message 51547 - Posted: 14 Mar 2012 | 19:54:02 UTC - in response to Message 51540.

Congratulations again Pooh_Bear, you are a lucky man.

Now if I were lucky in winning physical prizes that would be nice (like the lottery).

It has posted and ranked #78 overall. Two top 100 primes in under a month for my machines. I just set them up to do the work, but they sure are making big strides on PSA quickly.

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Message 51549 - Posted: 14 Mar 2012 | 21:09:43 UTC

Nice find!

BTW, the links in the first post of this thread are incorrect. I don't know who can update them.

Michael Goetz
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Message 51550 - Posted: 14 Mar 2012 | 21:21:32 UTC - in response to Message 51549.

Nice find!

BTW, the links in the first post of this thread are incorrect. I don't know who can update them.

Yeah, the old server died and was replaced. Thanks for catching that. I'll go change the links...

Edit: Or not... Maybe Rytis can do it. I can't, at least not without a lot of effort and an "appendectomy through the nostril" type of approach. (I could hide this thread, create a new one, repost John's post with updated links, and move all the other posts in here to the new thread. That seems a bit ridiculous.)

If Rytis can't edit John's post, then I'll ask John if he can stop by and change it, but we'll need a long term fix for editing all of his topic-heading posts. They WILL need editing as time goes on.
____________
My lucky number is 75898524288+1

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Message 51902 - Posted: 22 Mar 2012 | 17:34:16 UTC

Was the ESP I found not significant enough for an official announcement? It did come in as #78 overall on the top 5000. I am unsure if it's the largest ESP ever found, or any other factors about it.

Thanks.

rebirther

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Message 51904 - Posted: 22 Mar 2012 | 17:39:36 UTC - in response to Message 51902.

Was the ESP I found not significant enough for an official announcement? It did come in as #78 overall on the top 5000. I am unsure if it's the largest ESP ever found, or any other factors about it.

Thanks.

Yepp, SR5 also down under, unfortunately.

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Message 52123 - Posted: 27 Mar 2012 | 12:08:54 UTC

Looks like the next prime was found on this port: 147559*2^2562218+1. Congrats@Pilgrim.

Regards Odi
____________

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Message 52125 - Posted: 27 Mar 2012 | 13:31:30 UTC - in response to Message 51902.

Was the ESP I found not significant enough for an official announcement? It did come in as #78 overall on the top 5000. I am unsure if it's the largest ESP ever found, or any other factors about it.

Thanks.

It's significant -- it's just we've been transitioning everything that John used to do to other people. My apologies for this taking so long.

So, until the official announcement in the news category comes out, congratulations to both of you for the finds -- it's been about 2 years since the last ESP was found. I personally searched ESP a lot before the early records were lost in the crash, so I'm very excited about these two primes being found.

____________
My lucky number is 75898524288+1

Scott Brown
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Message 52941 - Posted: 11 Apr 2012 | 21:16:24 UTC - in response to Message 52125.

News announcement now posted. Apologies to Pooh Bear 27 and Pilgrim for the delay in getting this in the news.

____________
141941*2^4299438-1 is prime!

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Message 53545 - Posted: 29 Apr 2012 | 14:10:45 UTC

I'm getting "[2012-04-29 10:06:07 EDT] prpnet.mine.nu:13005 connect to socket failed with error 61".

This is with
server=ESP:100:1:prpnet.mine.nu:13005

in the config file. All the other servers seem to be up.

Anyone else?

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Message 53550 - Posted: 29 Apr 2012 | 22:12:39 UTC - in response to Message 53545.

The port seems down at the moment...

Regards Odi
____________

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Message 55186 - Posted: 2 Jun 2012 | 22:07:47 UTC

Hi,

it seems the page about the extended Sierpinski Problem in the PSA PRPNet Projects forum has not been updated. The last prime (147559*2^2562218+1) is not listed: here

Cheers,

____________
Badge Score: 1*2 + 1*5 + 8*6 + 6*7 + 3*8 + 1*9 = 135

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Message 55187 - Posted: 2 Jun 2012 | 22:20:12 UTC - in response to Message 55186.

Hi,

it seems the page about the extended Sierpinski Problem in the PSA PRPNet Projects forum has not been updated. The last prime (147559*2^2562218+1) is not listed: here

Cheers,

Corrected. Thanks for pointing out the ommission.
____________
My lucky number is 75898524288+1

[AF>Le_Pommier] Aillas
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Message 55204 - Posted: 3 Jun 2012 | 7:36:25 UTC - in response to Message 55187.

May I be slightly annoying.....

You forgot to remove the k from the list of remaining K and to update the number of remaining k.

....
____________
Badge Score: 1*2 + 1*5 + 8*6 + 6*7 + 3*8 + 1*9 = 135

Michael Goetz
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Message 55240 - Posted: 4 Jun 2012 | 17:05:09 UTC - in response to Message 55204.

May I be slightly annoying.....

You forgot to remove the k from the list of remaining K and to update the number of remaining k.

....

Not annoying at all, but I can't actually find anything wrong. I know I didn't update those, so I think someone else went and did the edit. If not (and I'm missing something), just let me know.

Thanks again,
Mike
____________
My lucky number is 75898524288+1

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Message 58628 - Posted: 23 Oct 2012 | 19:38:02 UTC - in response to Message 58627.

I just noticed that I might have found an ESP prime, as the log file on one of my hosts has the following entry:

[2012-10-23 06:20:34 CDT] Server: ESP, Candidate: k*2^n+1 Program: llr Residue: PRIME Time: 3886 seconds

and that pfgw64 has been running for the last eight hours to double check. Is it normal for pfgw64 to take this long?

Thanks,
Ardo

Ardo,

I hid your post and redacted the actual number in the quote above. It's best not display the number until the prime is reported to the prime pages.

Note that pfgw does NOT checkpoint, at least when doing *some* tests, so try not to interrupt it if at all possible.

Someone will correct me if I'm wrong, but I think pfgw is called to do Fermat divisor checks. I think those take longer than the actual primality test.

I vaguely recall something about commenting out the pfgw/pfgw64 lines in the ini file so that prpnet doesn't automatically do the divisor test. Or maybe that was with GFNs.

Whatever, assuming the prime isn't a computation error, CONGRATULATIONS!!!
____________
My lucky number is 75898524288+1

rogue
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Message 58630 - Posted: 23 Oct 2012 | 20:00:20 UTC - in response to Message 58628.

Note that pfgw does NOT checkpoint, at least when doing *some* tests, so try not to interrupt it if at all possible.

Someone will correct me if I'm wrong, but I think pfgw is called to do Fermat divisor checks. I think those take longer than the actual primality test.

I vaguely recall something about commenting out the pfgw/pfgw64 lines in the ini file so that prpnet doesn't automatically do the divisor test. Or maybe that was with GFNs.

Whatever, assuming the prime isn't a computation error, CONGRATULATIONS!!!

pfgw does not checkpoint primality tests or GFN divisibility checks. It will checkpoint PRP tests.

ardo

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Message 58631 - Posted: 23 Oct 2012 | 20:08:56 UTC - in response to Message 58628.

I just noticed that I might have found an ESP prime, as the log file on one of my hosts has the following entry:

[2012-10-23 06:20:34 CDT] Server: ESP, Candidate: k*2^n+1 Program: llr Residue: PRIME Time: 3886 seconds

and that pfgw64 has been running for the last eight hours to double check. Is it normal for pfgw64 to take this long?

Thanks,
Ardo

Ardo,

I hid your post and redacted the actual number in the quote above. It's best not display the number until the prime is reported to the prime pages.

Note that pfgw does NOT checkpoint, at least when doing *some* tests, so try not to interrupt it if at all possible.

Someone will correct me if I'm wrong, but I think pfgw is called to do Fermat divisor checks. I think those take longer than the actual primality test.

I vaguely recall something about commenting out the pfgw/pfgw64 lines in the ini file so that prpnet doesn't automatically do the divisor test. Or maybe that was with GFNs.

Whatever, assuming the prime isn't a computation error, CONGRATULATIONS!!!

Thanks!

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Michael Goetz
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Message 58636 - Posted: 24 Oct 2012 | 0:19:36 UTC - in response to Message 58631.

It's officially posted on the server stats page now, so official congratulations are now in order!

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My lucky number is 75898524288+1

Michael Goetz
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Joined: 21 Jan 10
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Credit: 392,897,420
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Message 58637 - Posted: 24 Oct 2012 | 0:29:06 UTC

...And added to the primes list.
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My lucky number is 75898524288+1

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