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PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC

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bill1024
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2019/10/02 23:39:11 (permalink)
Another PG challenge 5 days  10/10/19 18:00 UTC to 10/15/19 18:00 UTC.
The is a CPU challenge on the new Fermat Divisor Search (PPS-DIV) (LLR) application.
First task returned will get credit for the Fermat find, 2nd in is double checker.
PG challenge thread. http://www.primegrid.com/forum_thread.php?id=8831
 
Important info on multithread as per PG challenge thread:
Multi-threading optimisation instructions

Those looking to maximise their computer's performance during this challenge, or when running LLR in general, may find this information useful.
 
  • Your mileage may vary. Before the challenge starts, take some time and experiment and see what works best on your computer.
  • If you have an Intel CPU with hyperthreading, either turn off the hyperthreading in the BIOS, or set BOINC to use 50% of the processors.
    • If you're using a GPU for other tasks, it may be beneficial to leave hyperthreading on in the BIOS and instead tell BOINC to use 50% of the CPU's. This will allow one of the hyperthreads to service the GPU.
     
  • The new multi-threading system is now live. This will allow you to select multi-threading from the project preferences web page. No more app_config.xml. It works like this:
    • In the preferences selection, there are selections for "max jobs" and "max cpus", similar to the settings in app_config.
    • Unlike app_config, these two settings apply to ALL apps. You can't chose 1 thread for SGS and 4 for SoB. When you change apps, you need to change your multithreading settings if you want to run a different number of threads.
    • There will be individual settings for each venue (location).
    • This will eliminate the problem of BOINC downloading 1 task for every core.
    • The hyperthreading control isn't possible at this time.
    • The "max cpus" control will only apply to LLR apps. The "max jobs" control applies to all apps.
     
  • If you want to continue to use app_config.xml for LLR tasks, you need to change it if you want it to work. Please see this message for more information.
  • -t1 or -t2 is best on most computers. On older hardware (i7-950 for example), it is now best to run -t4.
  • Some people have observed that when using multithreaded LLR, hyperthreading is actually beneficial. We encourage you to experiment and see what works best for you.
Also this is LLR watch overclocks and CPU  temps. Make sure OC is stable.
No bunkering, only tasks downloaded after the start and turned in before the end time will count.
 

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#1

21 Replies Related Threads

    bill1024
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/02 23:43:31 (permalink)
    Some info on the new sub-project from the PG challenge thread.
     
    About the Fermat Divisor Search

    In mathematics a Fermat number, named after Pierre de Fermat who first studied them, is a positive integer of the form Fn = 22n+1, where n is a nonnegative integer.
    The first few Fermat numbers are 3, 5, 17, 257, 65537, 4294967297, 18446744073709551617, … (sequence A000215 in the OEIS).

    Only five Fermat primes are known, and the Fermat numbers grow so quickly that it may be years before the first undecided case: F33 = 2233+1 is shown prime or composite - unless we luck onto a divisor. Ever since Euler found the first Fermat divisor (divisor of a Fermat composite), factorers have been collecting these rare numbers.

    The largest known prime Fermat divisor is the megaprime 193 * 23329782+1, discovered by PrimeGrid in 2014, which divides F3329780 = 223329780+1. Will we break this record during the challenge?

    Euler showed that every divisor of Fn (n greater than 2) must have the form k*2n+2+1 for some integer k. For this reason, when we find a large prime of the form k*2n+1 (with k small), we usually check to see if it divides a Fermat number. The probability of the number k*2n+1 dividing any Fermat number appears to be 1/k.

    Any prime Generalised Fermat Number Fb,n = b2n+1 (with b an integer greater than one) is called a generalised Fermat prime (because they are Fermat primes in the special case b=2), Ribenboim (1996).
    Riesel (1994) further generalised by defining Extended Generalised Fermat Numbers xGFn,a,b = a2n+b2n.

    In the Fermat Divisor Search we focus on special k's that are either small (generally gives high chance of dividing a Fermat number) or have special properties that makes them attractive.
    First we'll first search k=19683 up to n=4M, (almost complete).
    Then five additional k's, 1323 (even n only), 2187 (even n only), 3125, 3267 (even n only) and 3375, up to n=3.322M, (now complete).
    Finally 5<=k<=49 up to n=9M.

    See also:
     
     

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    #2
    yodap
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/03 06:39:32 (permalink)
    Thanks Mr. bill.


     

     
    #3
    bcavnaugh
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/03 06:47:37 (permalink)
    Ready for the Big F

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    #4
    Cool GTX
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/03 07:28:25 (permalink)
    Thanks for the details bill

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    planetclown
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/03 07:38:14 (permalink)
    I'm in, and ready to go on 10/10!

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    #6
    bill1024
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/10 22:07:41 (permalink)
    Competition is tough out there. Crunching away, may fire up another box, but it is getting warm in here.
    Windows are open, but going to rain tomorrow.

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    #7
    bcavnaugh
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/11 06:57:41 (permalink)
    15°F this morning so pushing hard on GPUGRID as well, at lest for today the high is only going to be 51°F
    We had about 2-3 Inches of Snow yesterday and a little early for the Denver Metro so maybe we will have a White Christmas this year.

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    #8
    Khalifrio
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/11 09:45:43 (permalink)
    I been running all 16 threads on my 8 core and its not been running too warm so far. Then again I put a Noctua NH-D15 cooler on this i9-9900k which I thought was over kill at the time. That was until I ran some SOB tasks recently and found I had to cut back to just 4 cores or I would end up having the system shut down thanks to over temps. Maybe I should have gone with a water cooler but I did not want to have an additional failure point with a pump.
     
    Ha! I spent one year in Colorado Springs. When ever it snowed they just dumped sand on it which promptly turned into frozen mud. In a state that gets a lot of snow you would think they would know how to plow their roads. Its odd how my home state of Ohio has more of a clue about snow than they did in the Springs.



    #9
    bcavnaugh
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/11 20:02:36 (permalink)
    Khalifrio are you running MT?

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    #10
    Khalifrio
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/11 21:25:34 (permalink)
    I was doing 16 threads at first but I cut back to just the 8 physical cores.
     
    Edit to make it more clear for the smarty pants out there.
    post edited by Khalifrio - 2019/10/12 00:38:33



    #11
    Delirious
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/11 21:54:07 (permalink)
    2+2=4  I got this!

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    #12
    bill1024
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/12 11:37:15 (permalink)
    Looks like I found a Mega-prime in this challenge. 
     
    Challenge: World Maths Day
    App: 32 (PPS-DIV)
    (As of 2019-10-12 18:01:57 UTC)

    248179 tasks have been sent out. [CPU/GPU/anonymous_platform: 247326 (100%) / 0 (0%) / 853 (0%)]

    Of those tasks that have been sent out:

    7218 (3%) were aborted. [7218 (3%) / 0 (0%) / 0 (0%)]
    1330 (1%) came back with some kind of an error. [1330 (1%) / 0 (0%) / 0 (0%)]
    186506 (75%) have returned a successful result. [185668 (75%) / 0 (0%) / 841 (0%)]
    53128 (21%) are still in progress. [53113 (21%) / 0 (0%) / 12 (0%)]

    Of the tasks that have been returned successfully:

    37279 (20%) are pending validation. [37046 (20%) / 0 (0%) / 177 (0%)]
    148965 (80%) have been successfully validated. [148360 (80%) / 0 (0%) / 664 (0%)]
    205 (0%) were invalid. [205 (0%) / 0 (0%) / 0 (0%)]
    57 (0%) are inconclusive. [57 (0%) / 0 (0%) / 0 (0%)]

    The current leading edge (i.e., latest work unit for which work has actually been sent out to a host) is n=4528770. The leading edge was at n=4300358 at the beginning of the challenge. Since the challenge started, the leading edge has advanced 5.31% as much as it had prior to the challenge!



    A second PPS-DIV prime has been found. Like the first prime of this challenge, this prime was double xGF divisor. We're still looking for a Fermat divisor!

    Congratulations to Bill1024 for finding this mega prime! TimT was the double checker.

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    #13
    yodap
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/12 12:43:15 (permalink)
    Delirious
    2+2=4  I got this!


    No Primes there, try again.


     

     
    #14
    yodap
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/12 12:43:39 (permalink)
    Nice going Bill.
     


     

     
    #15
    Cool GTX
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/12 13:04:07 (permalink)
    Congrats bill1024 on your Mega-prime

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    bcavnaugh
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/12 14:32:56 (permalink)
    25*2^4481024+1 (bill1024);  T5K, task 1,348,925 (decimal) #2
    25*2^4481024+1 is a Factor of xGF(4481020,8,5)!!!! (8746.610000 seconds)
    25*2^4481024+1 is a Factor of xGF(4481021,11,9)!!!! (8652.140000 seconds
     
    post edited by bcavnaugh - 2019/10/12 14:34:56

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    planetclown
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/12 14:45:16 (permalink)
    Cool GTX
    Congrats bill1024 on your Mega-prime

    +1 congratulations on finding a mega prime!

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    #18
    Exnihilo Curatio
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/12 20:35:39 (permalink)
    Congrats on the MegaPrime Bill!!!



    #19
    Opolis
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/14 17:44:05 (permalink)
    MEGA!

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    bcavnaugh
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/15 20:09:21 (permalink)
     Nice Run Team EVGA

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    #21
    bill1024
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    Re: PG World Math Day Challenge 10/10/19 18:00 UTC to 10/15/19 18:00 UTC 2019/10/15 23:05:56 (permalink)
    From PG thread:
     
    Challenge: World Maths Day
    App: 32 (PPS-DIV)
    (As of 2019-10-15 18:01:51 UTC)

    558940 tasks have been sent out. [CPU/GPU/anonymous_platform: 556472 (100%) / 0 (0%) / 2468 (0%)]

    Of those tasks that have been sent out:

    34350 (6%) were aborted. [33830 (6%) / 0 (0%) / 520 (0%)]
    3870 (1%) came back with some kind of an error. [3870 (1%) / 0 (0%) / 0 (0%)]
    477989 (86%) have returned a successful result. [476049 (85%) / 0 (0%) / 1940 (0%)]
    42507 (8%) are still in progress. [42498 (8%) / 0 (0%) / 8 (0%)]

    Of the tasks that have been returned successfully:

    34992 (7%) are pending validation. [34832 (7%) / 0 (0%) / 160 (0%)]
    442184 (93%) have been successfully validated. [440404 (92%) / 0 (0%) / 1780 (0%)]
    724 (0%) were invalid. [724 (0%) / 0 (0%) / 0 (0%)]
    89 (0%) are inconclusive. [89 (0%) / 0 (0%) / 0 (0%)]

    The current leading edge (i.e., latest work unit for which work has actually been sent out to a host) is n=4794753. The leading edge was at n=4300358 at the beginning of the challenge. Since the challenge started, the leading edge has advanced 11.50% as much as it had prior to the challenge!


    All told, 5 primes were discovered, 5 xGF (Extended Generalized Fermat) divisors were found, and 2 GF (Generalized Fermat) divisors were found. No Fermat divisors were found.

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    #22
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