Search for prime gaps that can be found in the range 4e18 to 5e18

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#21 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by scole of TSBT »

I'd set the memory to something less than 128GB. 120GB max, maybe even 112GB
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#22 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by Bryan »

I set the memory at 120G and the 1st segment is now cranking. At the 5 minute mark the CPU is at 65-80% with 56G in use.
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#23 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by Bryan »

The 1st checkpoint came up and it appears it is less than double the speed of your laptop :lol:

32.67e9 vs your 18e9

The machine at 7505 seconds was at 4800245xxx so if the end result is 4810 and it is linear then it will take 85 hours to finish 4800-4810.

I see that the 2 CPUs are not being utilized equally. If I were to do it again then I would break the 4800-4810 into 2 WU and run 1 on each CPU. To do that you might need to launch the 2nd one from a different directory so it doesn't get screwed up with writing to the results file. It is now using 85G of memory.

By the way, it is using AVX2 because the CPUs are downclocked by 250MHz.
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#24 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by Alez »

If my systems are up to helping , then let me know and i'm up for helping with no payment required.
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#25 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Sorry for coming back so late. Please find the linux binaries.
gap5_f_linux_static.zip
gap5_f_linux.zip
I did inquire the people running dual socket and they are running two instances of the client in separate folders.
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#26 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by Bryan »

Carlos, my systems are NOT using AVX. I tried 2 more systems E5 2695 V4 (72t) and E5 2695 V3 (56t) and according to the clock rate they aren't using AVX with the Haswell executable.

To confirm I ran BOINC Stop on both machines and looked at the clock rate ... ie on the V3 machine it was 2.8GHz. I then switched to Asteroids which is AVX and the clock rate dropped to 2.5GHz as it should.

When I start the Gap application the clock rate is the same as standard ... they don't downclock which means they are not running AVX/FMA3.

It is possible that the application is doing a lot of preliminary work and then doing the actual AVX calculation in bursts. I did notice that it runs for about 2 hours at 80% CPU usage and then does a 5 minute burst where it goes to 100%. Right after than it does the status update.

If that 64 thread machine is going to produce less results than 2 of your 4 core laptops I'm not inclined to continue.
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#27 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Bryan, got confirmation from Thomas that: "Actually the AVX registers are only used once for the translation of the floating point input arguments (n1, n2) into integers." which follows the behavior you're experience. AVX is not being fully utilized. Apologies and please fell free to stop the running.
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#28 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by Bryan »

Okay Carlos and thanks for checking. I will be shutting it down since I don't see much benefit of running a machine of that class.
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#29 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Anyone here with a fast intel quad (i7) or Ryzen (8C/16T) machine that could run me the following:

start /low /min gap5_f_XXX.exe -n1 4500e15 -n2 4510e15 -gap 1250 -delta 155 -sb 24 -bs 16 -mem 12 -t 8

start /low /min gap5_f_XXX.exe -n1 4500e15 -n2 4510e15 -gap 1250 -delta 155 -sb 24 -bs 16 -mem 12 -t 16
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#30 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Here's the link for the 'First occurrence prime gaps' where it can be seen the works carried out since 1878.
http://www.trnicely.net/gaps/gaplist.html

Currently mersenneforum is working from 4000e15 to upper bound 5000e15 and the client can be used up to 16950e18. The code will have to be rewritten to be able to run beyond 16950e18.
This type of work is the kind you will be remember for decades...Please let me know if TSBT and SETI.USA are willing to support this project, there is no rewards, no BOINC points, no automate reservation system, it's all manual.

Thank you in advance,

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#31 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by scole of TSBT »

Bryan wrote: Wed Jun 14, 2017 8:08 pm Okay Carlos and thanks for checking. I will be shutting it down since I don't see much benefit of running a machine of that class.
Does it use all the threads and memory?
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#32 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

It uses all threads but it's not well optimised therefore you better run a client per 4 threads. You can play along with the client.

You can start with one folder running for example (16 thread machine, 32 GB):

start /low /min gap5_XXX.exe -n1 4500e15 -n2 4510e15 -gap 1250 -delta 155 -sb 24 -bs 16 -mem 28 -t 32

Or run several folders each one with the following command:

start /low /min gap5_XXX.exe -n1 4500e15 -n2 4503e15 -gap 1250 -delta 155 -sb 24 -bs 16 -mem 7 -t 4
start /low /min gap5_XXX.exe -n1 4503e15 -n2 4506e15 -gap 1250 -delta 155 -sb 24 -bs 16 -mem 7 -t 4
start /low /min gap5_XXX.exe -n1 4506e15 -n2 4508e15 -gap 1250 -delta 155 -sb 24 -bs 16 -mem 7 -t 4
start /low /min gap5_XXX.exe -n1 4508e15 -n2 4510e15 -gap 1250 -delta 155 -sb 24 -bs 16 -mem 7 -t 4
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#33 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by scole of TSBT »

Running 4 processes this way, each in it's own folder...

start /NODE 0 /AFFINITY 0xFFFFFFFFF /low /min gap5_f_haswell.exe -n1 4500e15 -n2 4503e15 -gap 1250 -delta 155 -sb 24 -bs 16 -mem 28 -t 12
start /NODE 0 /AFFINITY 0xFFFFFFFFF /low /min gap5_f_haswell.exe -n1 4503e15 -n2 4506e15 -gap 1250 -delta 155 -sb 24 -bs 16 -mem 28 -t 12
start /NODE 1 /AFFINITY 0xFFFFFFFFF /low /min gap5_f_haswell.exe -n1 4506e15 -n2 4508e15 -gap 1250 -delta 155 -sb 24 -bs 16 -mem 28 -t 12
start /NODE 1 /AFFINITY 0xFFFFFFFFF /low /min gap5_f_haswell.exe -n1 4508e15 -n2 4510e15 -gap 1250 -delta 155 -sb 24 -bs 16 -mem 28 -t 12
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#34 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Which speeds are you getting? What name should I add to the reservation list?
When all are finished can you please send me the gap_solutions.txt files to pinhodecarlos at yahoo dot com.
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#35 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by scole of TSBT »

It's Xeon V4 (Broadwell EP) running at 2.8Ghz. Each of the 4 processes is getting a little better than 25e9 n/sec. Check my math but the 2 processes running the 3e15 ranges should take (3e15/25e9)/(24*3600), about 1.39 days, correct?
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#36 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

scole250 wrote: Sun Jun 25, 2017 8:59 pm It's Xeon V4 (Broadwell EP) running at 2.8Ghz. Each of the 4 processes is getting a little better than 25e9 n/sec. Check my math but the 2 processes running the 3e15 ranges should take (3e15/25e9)/(24*3600), about 1.39 days, correct?

Calculations correct.
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#37 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

New windows binaries showing progress in hours. bs flag can be increases from 16 to 18, little speed increase.
gap5_g.zip
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#38 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by scole of TSBT »

Complete and results sent. Will I be famous?
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#39 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

scole250 wrote: Tue Jun 27, 2017 11:18 am Complete and results sent. Will I be famous?
If you do what I've proposed by email, yes.
The link has been update but its missing the list of researchers. I've sent an update and will chase after my operation.
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#40 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Here are some Linux binaries (Nehalem and Haswell) for Antonio's latest version gap5_g.
gap5_g_linux.zip
gap5_g_linux_static.zip
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#41 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

New flags to be used:

gap5_g -n1 XXXX -n2 XXXX -gap 1250 -delta 155 -sb 24 -bs 18 -t 4 -mem 12
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#42 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by scole of TSBT »

What are the different linux files for and which is run on which system? What's the difference between the static and non-static files?

EDIT: I figured out what the static executable was for.
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#43 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Here's the email from Dr. Thomas R. Nicely. We are making history!!!!

"This is in reply to your messages of 12 July and 17 July.

Your own new first known occurrence prime gap of 1406, and Steve Cole's
new first known occurrence prime gap of 1396, have now been posted at
[ http://www.trnicely.net/gaps/gaplist.html ]. The corresponding discoverer
abbreviations are Pinho_MF and ColeStev.

Thank you both for your contributions. I look forward to receiving additional
discoveries from you.

Regards,

TRN"
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#44 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

gap5_size.zip
cygwin1.zip
There's a client version which requires -mem (1.55 + 0.05t) to run, where t is the number of threads and it is less quick. (REQUIRES LESS MEMORY TO RUN)
Range 7000-8000 available.
start /low /min gap5_size.exe -n1 7000e15 -n2 8000e15 -gap 1346 -delta 155 -sb 24 -bs 18 -mem 4 -t 8
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#45 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Just to share something interesting about Dr. Thomas R. Nicely. Original e-mail message announcing the discovery of the Pentium division flaw, 30 October 1994: http://www.trnicely.net/pentbug/bugmail1.html
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#46 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

gap5_h.zip
Faster windows client, still awaiting for the linux one.
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#47 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by scole of TSBT »

Are the command line arguments for gap5_h.exe and gap5_h_haswell.exe the same as the arguments for the g version?
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#48 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

scole250 wrote: Tue Jul 25, 2017 9:22 pm Are the command line arguments for gap5_h.exe and gap5_h_haswell.exe the same as the arguments for the g version?
Yes.
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#49 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

New gap10 is 50% faster than gap5 since it now uses avx and a new algorithm. Went from 22e9 n/s to 31e9 n/s. Available ranges are:
7000-8000
9000-10000
10000-16000
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#50 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Records found so far. Project keeps going on.
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#51 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Anyone with a AMD Threadripper to make me quick test?
Windows binaries here:

http://www.mersenneforum.org/showpost.p ... tcount=133

Run for 30 mins although the client needs to stabilize for 12 hours.
./gap11.exe -n1 9e18 -n2 9.25e18 -n 9e18 -res1 3000 -res2 3100 -res 3000 -m1 1190 -m2 8151 -unknowngap 1382 -numcoprime 27 -sb 24 -bs 14 -mem 64 -t 32

My laptop: 31e9 n/sec with -sb 24 -bs 14 -mem 12 -t 8
cygwin1.7z
gap11_exe.7z
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#52 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Latest results have been published at:

http://www.trnicely.net/gaps/gaplist.html

and myself and Steve Cole have made into math history by being on the list of prime gaps discoveries. Search by Pinho_MF and ColeStev.
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#53 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by Alez »

Well done to both of you.
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#54 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Thank you Alez. Care to join? Odds now as we stand are higher to find a record.

Basically we need to replace the current C?C with new ones with less digits, currently all 19 digits are gone (missing latest update). Now at 20 digits, this means the majority of the C?C above 20 digits will fall. Even a 4C/8T can make a difference.
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#55 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Here are some stats to date. Completed from 4e18 to 10e18. Ongoing 10e18 to 11e18.
Free ranges:
11e18 to 12e18
12e18 to 13e18
13e18 to 14e18
14e18 to 15e18
15e18 to 16e18

Code: Select all

Searcher	done	resd	records
			
danaj   	2011.3	170.3	6
Thomas11	1320.1	92.0	8
Antonio      	427.6	0.0	2
robert44444uk	487.4	36.8	4
pinhodecarlos	327.4	23.0	2 (+1 attrib to ET_)
mart_r    	355.7	18.4	0
Scole250	960.0	0.0	1
ET_        	7.0	0.0	1 (attrib. from pinhodecarlos)
ldesnogu	60.0	0.0	0
axn        	182.8	0.0	1
henryzz  	20.0	0.0	0
firejuggler	52.3	9.2	0
			
			
Total   	6211.6	349.7	25


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#56 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

pinhodecarlos wrote: Fri Nov 24, 2017 3:59 pm Thank you Alez. Care to join? Odds now as we stand are higher to find a record.

Basically we need to replace the current C?C with new ones with less digits, currently all 19 digits are gone (missing latest update). Now at 20 digits, this means the majority of the C?C above 20 digits will fall. Even a 4C/8T can make a difference.
As the C?C became CFC, this means the prime gap with smaller digits, the flag -unknowngap can be increased which for the same search space the sieve step will be quicker. Steve, client gap12 is at least 50% faster than the one you used to run your ranges so 1000 will take only 2 weeks in your farm. Just to let you know. Time window to own some records is now on the 11-12 range.
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#57 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Range 10000e15 to 11000e15 is now closed for reservations.
Open from 11000e15 up to 16500e15. Lot´s of records to be found here..
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#58 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

We are close to complete up to 11000e15. Open ranges now at 11e18 to 12e18.

I know this is a monologue but trying my best to have more external support.
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#59 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Linux binaries:

http://mersenneforum.org/showpost.php?p ... tcount=150

BTW, -unknowngap 1382 was discovered on the range 1.1e19 to 1.2e19 which means for range 12000e15 to 13000e15 -unknowngap should be set to 1412. Still awaiting to know if we can shorter -m1 to -m2 space. This will give a boost on speed.
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#60 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by Alez »

pinhodecarlos wrote: Thu Dec 07, 2017 8:57 pm We are close to complete up to 11000e15. Open ranges now at 11e18 to 12e18.

I know this is a monologue but trying my best to have more external support.
Don't feel bad. I'm sure more read it than ever comment. I would try and help out but my computers are an eighth of the world away just now.
Someone want to put up a quick easy how to run this all in one post and maybe some others will jump onboard ?
How to install, how to run, how to reserve a range, where to report it etc
Preferably covering both windows and Linux.
Let's see if we can give it a bit more prominence. I can also add it under the non Boinc projects with a separate sub forum, see if that gives it some more visibility.
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#61 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Thank you Alez.

All reservations are made through mersenneforum.org at:

range (1.1e19 to 1.2e19) - http://www.mersenneforum.org/showthread.php?t=22749

but I can reserve a big range and manage the reservations from here but I would prefer if people could go there and reserve the ranges. If not I can do it here.

How to run the client?

An example of a complete line of code for a windows emulator, on a small laptop might be: ./gap12.exe -n1 1.1e19 -n2 1.2e19 -n 1.1e19 -res1 3000 -res2 3100 -res 3000 -m1 1190 -m2 8151 -unknowngap 1382 -numcoprime 27 -sb 24 -bs 13 -mem 2.62 -t 4

or whatever you have named your .exe file
or what ever your reserved range is, taking care to make sure that -res is set initially to the start of the range
these variables depend on the capabilities of your computer

-n1: start of range
-n2: end of range
-n: start of range
-n1 1.1e19 -n2 1.2e19 -n 1.1e19 (fixed per range, what changes are -res1 3000 -res2 3100 -res 3000. -res=-res1 3000 start of block, -res2 end of block. Block goes from 0 to 8151.

Linux binaries:
gap12_linux_static.zip
gap12_linux.zip
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#62 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Windows binaries:
gap12_exe.7z
cygwin1.7z

-mem 2.62 -t 4

-mem means how much memory you want to allocate
-t number of threads

For example for a 64 thread machine (64 GB) you will need to create 4 folders and run -t 16. Lets imagine for range 1.1e19 to 1.2e19 you want to split (-res1 3000 -res2 4000 -res 3000):

folder 1: ./gap12.exe -n1 1.1e19 -n2 1.2e19 -n 1.1e19 -res1 3000 -res2 3250 -res 3000 -m1 1190 -m2 8151 -unknowngap 1382 -numcoprime 27 -sb 24 -bs 13 -mem 14 -t 16
folder 2: ./gap12.exe -n1 1.1e19 -n2 1.2e19 -n 1.1e19 -res1 3250 -res2 3500 -res 3250 -m1 1190 -m2 8151 -unknowngap 1382 -numcoprime 27 -sb 24 -bs 13 -mem 14 -t 16
folder 3: ./gap12.exe -n1 1.1e19 -n2 1.2e19 -n 1.1e19 -res1 3500 -res2 3750 -res 3500 -m1 1190 -m2 8151 -unknowngap 1382 -numcoprime 27 -sb 24 -bs 13 -mem 14 -t 16
folder 4: ./gap12.exe -n1 1.1e19 -n2 1.2e19 -n 1.1e19 -res1 3750 -res2 4000 -res 3750 -m1 1190 -m2 8151 -unknowngap 1382 -numcoprime 27 -sb 24 -bs 13 -mem 14 -t 16
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pinhodecarlos
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#63 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Everybody works on the same range but different blocks.

For the time being I would like people to try the client before making the project visible since clients are standalone, not internet connection needed, everytime a block is completed you must move the results files before starting a new block. Client resumes and has checkpoints in function of the computer speed (15 mins, my machine).
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pinhodecarlos
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#64 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

BTW, the client now takes advantage of avx instructions.
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pinhodecarlos
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#65 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Here are some stats to date. Completed from 4e18 to 11e18. Ongoing 11e18 to 12e18.
Free ranges:
12e18 to 13e18
13e18 to 14e18
14e18 to 15e18
15e18 to 16e18

Code: Select all

Searcher	done	resd	records
			
danaj   	2407.1	196.3	6
Thomas11	1645.2	245.4	9
Antonio      	433.8	12.3	1
robert44444uk	536.5	73.6	5
pinhodecarlos	367.9	61.3	2
mart_r    	410.9	39.3	0
Scole250	960.0	0.0	1
ET_        	7.0	0.0	1
ldesnogu	60.0	0.0	0
axn        	182.8	0.0	1
henryzz  	20.0	0.0	0
firejuggler	64.5	12.3	0
rudy235      	0.0	6.1	0
			
Total   	7095.7	646.5	26
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pinhodecarlos
Boinc Warrant Officer Class 2
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Posts: 320
Joined: Sun Feb 21, 2016 11:22 am
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#66 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Thank you Steve for coming back to help as a little.
In the meantime we have open a new range for reservation with new flags. Should be faster to process. Range is 1.2e19 to 1.3e19 but previous one should be ran with old flags, they can’t be mixed up.

gap12.exe -n1 1.2e19 -n2 1.3e19 -n 1.2e19 -res1 3000 -res2 3100 -res 3000 -m1 1235 -m2 7854 -unknowngap 1412 -numcoprime 27 -sb 24 -bs 13 -mem 2.62 -t 4
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pinhodecarlos
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Posts: 320
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#67 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Steve is on fire, so far three new records. Thank you. Now we need to wait for Dr.Nicely webpage update so I suppose it will happen after New Year.
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pinhodecarlos
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Posts: 320
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#68 Re: Search for prime gaps that can be found in the range 4e18 to 5e18

Post by pinhodecarlos »

Record page has been updated and congratulations Steve for more three records for eternity. Well done.

http://www.trnicely.net/gaps/gaplist.html#Instructions
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