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Message boards : Generalized Fermat Prime Search : The upcoming n=21 search

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Message 86975 - Posted: 8 Aug 2015 | 3:03:54 UTC
Last modified: 8 Aug 2015 | 3:26:51 UTC

I felt the need to post, because the N=19 double-check to b=110k is over halfway there, unless I've misread the statistics, or read the wrong statistics. So N=21 is next.

Michael G, in the other thread, wrote:


D) We will begin n=21

Our plans for testing n=21 are rather nebulous at this point beyond "n=21 is next". No decisions on deadlines or whether this will be a GPU only or GPU plus CPU project have yet been made.


Please let CPUs have a go at this. I've obviously not got half the idea that you have about how many people are running slow CPUs, like older Core2s, or AMD CPUs... but whenever I look at "wingmen" for my WUs, it seems like most are on an i7 or i5 of some sort. Hopefully with a "strict but fair" deadline, and a massive bold notice on the user preferences page, the number of people trying to run this and SoB on their Pentium 4 M can be reduced? I've been a bit hyperbolic there, I know, but currently there are still projects which slow computers (by cutting edge number-crunching standards) can run happily on PG.

I know it must be a difficult decision for PG admins - but I wanted (well, I still do want) the chance to run a GFN-WR task on a CPU. I do realise, however, how that could seriously hamper that particular project. But SoB is CPU-only - surely GFN n=21 WUs will "only" take a similar amount of time on a CPU?

I can imagine there will be many timeouts and people aborting after many days when they're shocked that it's taking so long, but as you all obviously know, GPU WUs regularly error out, throw up weird errors, and whatever else similar. With people running the CPU app, who at least half-know what they're doing, you could look at it as a bit of stability.

I know you all must have debated this internally, and maybe until you're sick in response to the mere mention of the subject, but I feel it's important to state the CPU's case here.

Just an idea: I was going to say that presumably a cpu app would be created at some point, anyway, for when the GPUs start to hit their b limit. Would it be efficient to initially have the cpu app crunch only tasks of, and above, the rough b limit of OpenCL*** GPUs? Then once that's done, you could have the CPUs join the GPUs from wherever they're up to. That way, you sort of have one decision removed for you, i.e. it's not possible for GPUs to do some tasks in the range, so the only option is CPU.

Anyway, I'm rambling now, cheers.

***Edit: I see CUDA can go slightly further than OCL with N=21.

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 2 primes in the 2021 Tour de PrimesFound 2 primes in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de PrimesFound 1 prime in the 2022 Tour de Primes Mountain StageFound 1 prime in the 2023 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (6,949,793)Cullen LLR Turquoise: Earned 5,000,000 credits (5,513,946)ESP LLR Turquoise: Earned 5,000,000 credits (7,150,009)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,094,541)PPS LLR Sapphire: Earned 20,000,000 credits (24,049,916)PSP LLR Jade: Earned 10,000,000 credits (11,203,327)SoB LLR Sapphire: Earned 20,000,000 credits (36,601,737)SR5 LLR Sapphire: Earned 20,000,000 credits (22,821,256)SGS LLR Turquoise: Earned 5,000,000 credits (6,383,396)TRP LLR Turquoise: Earned 5,000,000 credits (6,308,522)Woodall LLR Turquoise: Earned 5,000,000 credits (6,390,624)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,061,196)Cullen/Woodall Sieve Emerald: Earned 50,000,000 credits (51,764,198)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (22,888,492)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Sapphire: Earned 20,000,000 credits (23,330,827)GFN Double Bronze: Earned 100,000,000 credits (120,616,519)WW (retired) Emerald: Earned 50,000,000 credits (88,580,000)PSA Jade: Earned 10,000,000 credits (13,196,884)
Message 86977 - Posted: 8 Aug 2015 | 3:25:23 UTC

About 20% of the n=19s have been sent out; about 14% are done.

Nothing has been decided yet.
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Message 86978 - Posted: 8 Aug 2015 | 3:29:54 UTC
Last modified: 8 Aug 2015 | 3:30:31 UTC

Ah, so I did mis-read the stats re: n=19, cheers.

But you know where I stand with regards to the n=21 search, anyway. Will they have a similar runtime to the current SoB WUs? I don't expect you to do any accurate calculations or anything else, just wondering if you had a rough idea.

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Discovered 15 mega primesEliminated 4 conjecture "k"sFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain Stage2019 Tour de Primes largest primeFound 4 primes in the 2019 Tour de PrimesFound 1 mega prime in the 2019 Tour de PrimesFound 1 prime in the 2019 Tour de Primes Mountain StageFound 1 prime in the 2020 Tour de PrimesFound 4 primes in the 2021 Tour de PrimesFound 1 mega prime in the 2021 Tour de PrimesFound 1 prime in the 2021 Tour de Primes Mountain StageFound 2 primes in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de PrimesFound 3 primes in the 2023 Tour de PrimesFound 1 mega prime in the 2023 Tour de PrimesFound 1 prime in the 2023 Tour de Primes Mountain Stage321 LLR Double Bronze: Earned 100,000,000 credits (111,840,588)Cullen LLR Double Bronze: Earned 100,000,000 credits (118,233,898)ESP LLR Double Bronze: Earned 100,000,000 credits (100,642,296)Generalized Cullen/Woodall LLR Double Bronze: Earned 100,000,000 credits (106,956,296)PPS LLR Double Silver: Earned 200,000,000 credits (248,728,523)PSP LLR Double Bronze: Earned 100,000,000 credits (111,661,400)SoB LLR Double Bronze: Earned 100,000,000 credits (128,893,788)SR5 LLR Double Silver: Earned 200,000,000 credits (279,628,102)SGS LLR Double Bronze: Earned 100,000,000 credits (103,555,340)TPS LLR (retired) Bronze: Earned 10,000 credits (43,033)TRP LLR Double Bronze: Earned 100,000,000 credits (131,874,357)Woodall LLR Double Bronze: Earned 100,000,000 credits (101,172,892)321 Sieve (suspended) Double Bronze: Earned 100,000,000 credits (115,948,450)Cullen/Woodall Sieve Double Bronze: Earned 100,000,000 credits (100,408,718)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,504,945)PPS Sieve Double Gold: Earned 500,000,000 credits (513,057,580)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,288,222)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,149,354)AP 26/27 Double Silver: Earned 200,000,000 credits (272,916,236)GFN Double Amethyst: Earned 1,000,000,000 credits (1,211,429,299)WW (retired) Double Ruby: Earned 2,000,000,000 credits (2,018,796,000)PSA Double Gold: Earned 500,000,000 credits (536,055,990)
Message 86980 - Posted: 8 Aug 2015 | 6:59:21 UTC - in response to Message 86978.

Ah, so I did mis-read the stats re: n=19, cheers.


As JimB corrected - there are two b ranges in n=19:
18-110K
700K-895K

Note that second range is more than twice demanding since it has quite large b values.

Will they have a similar runtime to the current SoB WUs? I don't expect you to do any accurate calculations or anything else, just wondering if you had a rough idea.

You can extrapolate from difference between n=18 and n=19, then n=19 and n=20 and then n=20 and n=21 (use similar b value).
This would apply more to CPU; GPUs are doing better with higher n's.

Or you can use benchmark.

Or you can try to do a test yourself for a desired b value to see if you CPU would be up to the job.


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Message 87001 - Posted: 9 Aug 2015 | 21:47:14 UTC

I was hoping for some help with understanding the difference in length, hence my post/question.

[I didn't and certainly do not expect anyone to do any tests, though].

This isn't meant to sound sarcastic - it's just a literal statement - I assumed one or more of the admids would have done some advance planning by" now".

But importantly, when I made that assumption, I was looking at only Michael's older post which said we only had to do one range, which we are currently more than halfway through. So I apologise for not doing more complete reading-up and posting a bit prematurely.

I would still like to see n=21 available for CPUs, though. Skylake has been discussed slightly on the Number Crunching forum but mostly before the full details were known - it isn't just the CPU's features which will matter, it's a lot of other things like the PCH and chipset(s), which I suppose should probably be discussed in the Number Crunching forum in the Skylake thread when people actually have it.

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 2 primes in the 2021 Tour de PrimesFound 2 primes in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de PrimesFound 1 prime in the 2022 Tour de Primes Mountain StageFound 1 prime in the 2023 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (6,949,793)Cullen LLR Turquoise: Earned 5,000,000 credits (5,513,946)ESP LLR Turquoise: Earned 5,000,000 credits (7,150,009)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,094,541)PPS LLR Sapphire: Earned 20,000,000 credits (24,049,916)PSP LLR Jade: Earned 10,000,000 credits (11,203,327)SoB LLR Sapphire: Earned 20,000,000 credits (36,601,737)SR5 LLR Sapphire: Earned 20,000,000 credits (22,821,256)SGS LLR Turquoise: Earned 5,000,000 credits (6,383,396)TRP LLR Turquoise: Earned 5,000,000 credits (6,308,522)Woodall LLR Turquoise: Earned 5,000,000 credits (6,390,624)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,061,196)Cullen/Woodall Sieve Emerald: Earned 50,000,000 credits (51,764,198)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (22,888,492)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Sapphire: Earned 20,000,000 credits (23,330,827)GFN Double Bronze: Earned 100,000,000 credits (120,616,519)WW (retired) Emerald: Earned 50,000,000 credits (88,580,000)PSA Jade: Earned 10,000,000 credits (13,196,884)
Message 87007 - Posted: 10 Aug 2015 | 1:11:47 UTC

Command line: genefer64 -q 500000^2097152+1 Priority change succeeded. Testing 500000^2097152+1... Using FMA3 transform Estimated time remaining for 500000^2097152+1 is 149:52:52


Does that help? That's a Core i5-4670K at stock speeds, with only 1 core running.

You can start up a Genefer test on your own computer to see how fast it will run on your specific hardware. The time estimate is displayed shortly after startup.

I was hoping for some help with understanding the difference in length, hence my post/question.


Considering how easy it is to answer this question for yourself, I sort of expected if you wanted the answer to this question you'd go ahead and see how your hardware performs on these numbers. You don't have to run full length tests, after all. It only takes a moment to see how long a full test will take.
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Message 87010 - Posted: 10 Aug 2015 | 2:21:10 UTC
Last modified: 10 Aug 2015 | 2:22:26 UTC

Cheers Michael - it does help. I'll reply slightly more fully later - nothing important though, just an explanation of why my initial reply might have seemed rude, but was not intended to be. Bit of a complicated one I suppose.

Message boards : Generalized Fermat Prime Search : The upcoming n=21 search

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