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1) Message boards : Number crunching : Martin Gardner's Birthday Challenge (Message 151963)
Posted 10 hours ago by Profile Michael GutierrezProject donor
Day 5 stats comin' at ya:

Challenge: Martin Gardner's Birthday
App: 30 (GCW-LLR)
Fast DC tasks are NOT included.
(As of 2021-10-26 00:20:03 UTC)

36210 tasks have been sent out. [CPU/GPU/anonymous_platform: 36210 (100%) / 0 (0%) / 0 (0%)]

Of those tasks that have been sent out:

4885 (13%) were aborted. [4885 (13%) / 0 (0%) / 0 (0%)]
378 (1%) came back with some kind of an error. [378 (1%) / 0 (0%) / 0 (0%)]
9638 (27%) have returned a successful result. [9638 (27%) / 0 (0%) / 0 (0%)]
21309 (59%) are still in progress. [21309 (59%) / 0 (0%) / 0 (0%)]

Of the tasks that have been returned successfully:

2380 (25%) are pending validation. [2380 (25%) / 0 (0%) / 0 (0%)]
7258 (75%) have been successfully validated. [7258 (75%) / 0 (0%) / 0 (0%)]
0 (0%) were invalid. [0 (0%) / 0 (0%) / 0 (0%)]
0 (0%) are inconclusive. [0 (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=6329984. The leading edge was at n=5844056 at the beginning of the challenge. Since the challenge started, the leading edge has advanced 8.31% as much as it had prior to the challenge!
2) Message boards : Number crunching : Martin Gardner's Birthday Challenge (Message 151952)
Posted 1 day ago by Profile Michael GutierrezProject donor
Day 4:

Challenge: Martin Gardner's Birthday
App: 30 (GCW-LLR)
Fast DC tasks are NOT included.
(As of 2021-10-24 23:31:16 UTC)

31202 tasks have been sent out. [CPU/GPU/anonymous_platform: 31202 (100%) / 0 (0%) / 0 (0%)]

Of those tasks that have been sent out:

3319 (11%) were aborted. [3319 (11%) / 0 (0%) / 0 (0%)]
348 (1%) came back with some kind of an error. [348 (1%) / 0 (0%) / 0 (0%)]
7258 (23%) have returned a successful result. [7258 (23%) / 0 (0%) / 0 (0%)]
20277 (65%) are still in progress. [20277 (65%) / 0 (0%) / 0 (0%)]

Of the tasks that have been returned successfully:

2136 (29%) are pending validation. [2136 (29%) / 0 (0%) / 0 (0%)]
5122 (71%) have been successfully validated. [5122 (71%) / 0 (0%) / 0 (0%)]
0 (0%) were invalid. [0 (0%) / 0 (0%) / 0 (0%)]
0 (0%) are inconclusive. [0 (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=6276314. The leading edge was at n=5844056 at the beginning of the challenge. Since the challenge started, the leading edge has advanced 7.40% as much as it had prior to the challenge!
3) Message boards : Number crunching : Martin Gardner's Birthday Challenge (Message 151937)
Posted 2 days ago by Profile Michael GutierrezProject donor
Day 3:
Challenge: Martin Gardner's Birthday
App: 30 (GCW-LLR)
Fast DC tasks are NOT included.
(As of 2021-10-24 00:58:38 UTC)

27293 tasks have been sent out. [CPU/GPU/anonymous_platform: 27293 (100%) / 0 (0%) / 0 (0%)]

Of those tasks that have been sent out:

3034 (11%) were aborted. [3034 (11%) / 0 (0%) / 0 (0%)]
331 (1%) came back with some kind of an error. [331 (1%) / 0 (0%) / 0 (0%)]
5193 (19%) have returned a successful result. [5193 (19%) / 0 (0%) / 0 (0%)]
18735 (69%) are still in progress. [18735 (69%) / 0 (0%) / 0 (0%)]

Of the tasks that have been returned successfully:

2058 (40%) are pending validation. [2058 (40%) / 0 (0%) / 0 (0%)]
3135 (60%) have been successfully validated. [3135 (60%) / 0 (0%) / 0 (0%)]
0 (0%) were invalid. [0 (0%) / 0 (0%) / 0 (0%)]
0 (0%) are inconclusive. [0 (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=6216372. The leading edge was at n=5844056 at the beginning of the challenge. Since the challenge started, the leading edge has advanced 6.37% as much as it had prior to the challenge!
4) Message boards : Number crunching : Martin Gardner's Birthday Challenge (Message 151923)
Posted 3 days ago by Profile Michael GutierrezProject donor
Day 2 stats:
Challenge: Martin Gardner's Birthday
App: 30 (GCW-LLR)
Fast DC tasks are NOT included.
(As of 2021-10-22 23:04:59 UTC)

22264 tasks have been sent out. [CPU/GPU/anonymous_platform: 22264 (100%) / 0 (0%) / 0 (0%)]

Of those tasks that have been sent out:

2456 (11%) were aborted. [2456 (11%) / 0 (0%) / 0 (0%)]
87 (0%) came back with some kind of an error. [87 (0%) / 0 (0%) / 0 (0%)]
2715 (12%) have returned a successful result. [2715 (12%) / 0 (0%) / 0 (0%)]
17006 (76%) are still in progress. [17006 (76%) / 0 (0%) / 0 (0%)]

Of the tasks that have been returned successfully:

2015 (74%) are pending validation. [2015 (74%) / 0 (0%) / 0 (0%)]
700 (26%) have been successfully validated. [700 (26%) / 0 (0%) / 0 (0%)]
0 (0%) were invalid. [0 (0%) / 0 (0%) / 0 (0%)]
0 (0%) are inconclusive. [0 (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=6147116. The leading edge was at n=5844056 at the beginning of the challenge. Since the challenge started, the leading edge has advanced 5.19% as much as it had prior to the challenge!
5) Message boards : Number crunching : Martin Gardner's Birthday Challenge (Message 151908)
Posted 4 days ago by Profile Michael GutierrezProject donor
One day down! Here are the task stats:
Challenge: Martin Gardner's Birthday
App: 30 (GCW-LLR)
Fast DC tasks are NOT included.
(As of 2021-10-22 00:35:18 UTC)

14533 tasks have been sent out. [CPU/GPU/anonymous_platform: 14533 (100%) / 0 (0%) / 0 (0%)]

Of those tasks that have been sent out:

1836 (13%) were aborted. [1836 (13%) / 0 (0%) / 0 (0%)]
68 (0%) came back with some kind of an error. [68 (0%) / 0 (0%) / 0 (0%)]
951 (7%) have returned a successful result. [951 (7%) / 0 (0%) / 0 (0%)]
11678 (80%) are still in progress. [11678 (80%) / 0 (0%) / 0 (0%)]

Of the tasks that have been returned successfully:

676 (71%) are pending validation. [676 (71%) / 0 (0%) / 0 (0%)]
275 (29%) have been successfully validated. [275 (29%) / 0 (0%) / 0 (0%)]
0 (0%) were invalid. [0 (0%) / 0 (0%) / 0 (0%)]
0 (0%) are inconclusive. [0 (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=6031560. The leading edge was at n=5844056 at the beginning of the challenge. Since the challenge started, the leading edge has advanced 3.21% as much as it had prior to the challenge!
6) Message boards : News : Martin Gardner's Birthday Challenge starts October 21 (Message 151840)
Posted 7 days ago by Profile Michael GutierrezProject donor
The seventh challenge of the 2021 Series will be a 7-day challenge in celebration of the 107th (prime number!) birthday of beloved American science communicator, Martin Gardner. The challenge will be offered on the GCW-LLR application, beginning 21 October 00:00 UTC and ending 28 October 00:00 UTC.

To participate in the Challenge, please select only the Generalized Cullen/Woodall Prime Search LLR (GCW) project in your PrimeGrid preferences section.

For more info and discussion, check out the forum thread for this challenge: https://www.primegrid.com/forum_thread.php?id=9767&nowrap=true#151803

Best of luck!
7) Message boards : Number crunching : Martin Gardner's Birthday Challenge (Message 151803)
Posted 10 days ago by Profile Michael GutierrezProject donor
Welcome to Martin Gardner's Birthday Challenge

The seventh challenge of the 2021 Series will be a 7-day challenge in celebration of the 107th (prime number!) birthday of beloved American science communicator, Martin Gardner. The challenge will be offered on the GCW-LLR application, beginning 21 October 00:00 UTC and ending 28 October 00:00 UTC.

October 21 is the anniversary of Martin Gardner's birth. Gardner (1914-2010) is a legend in recreational (and professional) mathematics circles. Although he had little mathematical training, his 1956-1981 Scientific American column "Mathematical Games" has had a huge impact on the way people view math. In a Science Talk podcast shortly after Gardner's death, Douglas Hofstadter, author of the popular math book "Gödel, Escher, Bach", said that for himself and many others, "Scientific American was just the wrapping for Martin Gardner's column." (link)

"No branch of number theory is more saturated with mystery and elegance than the study of prime numbers: those exasperating, unruly integers that refuse to be divided evenly by any integers except themselves and 1." -Martin Gardner, Patterns and Primes

To participate in the Challenge, please select only the Generalized Cullen/Woodall Prime Search LLR (GCW) project in your PrimeGrid preferences section.

Note on LLR2 tasks: LLR2 has eliminated the need for a full doublecheck task on each workunit, but has replaced it with a short verification task. Expect to receive a few tasks about 1% of normal length.

Application builds are available for Linux 32 and 64 bit, Windows 32 and 64 bit and MacIntel. Intel and recent AMD CPUs with FMA3 capabilities (Haswell or better for Intel, Zen-2 or better for AMD) will have a very large advantage, and Intel CPUs with dual AVX-512 (certain recent Intel Skylake-X and Xeon CPUs) will be the fastest.

Note that LLR is running the latest AVX-512 version of LLR which takes full advantage of the features of these newer CPUs. It's faster than the previous LLR app and draws more power and produces more heat, especially if they're highly overclocked. If you have certain recent Intel Skylake-X and Xeon CPUs, especially if it's overclocked or has overclocked memory, and haven't run the new AVX-512 LLR before, we strongly suggest running it before the challenge while you are monitoring the temperatures.

This app uses a lot of memory. It requires about 1.5 GB of swap space / virtual memory, and 750 MB of physical memory.
If you are using Digital Ocean or TheScience.cloud 3-core/1GB droplets, you can only run one task at a time.

Multi-threading is supported and IS recommended. (GCW tasks on one CPU core will take 6-7 days on fast/newer computers and 2 weeks+ on slower/older computers.)

Those looking to maximize 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 a CPU with hyperthreading or SMT, either turn off this feature 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. Click here to set the maximum number of threads. 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.
  • 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.



Time zone converter:

The World Clock - Time Zone Converter

NOTE: The countdown clock on the front page uses the host computer time. Therefore, if your computer time is off, so will the countdown clock. For precise timing, use the UTC Time in the data section at the very top, above the countdown clock.

Scoring Information

Scores will be kept for individuals and teams. Only tasks issued AFTER 21st October 2021 00:00 UTC and received BEFORE 28th October 2021 00:00 UTC will be considered for credit. We will be using the same scoring method as we currently use for BOINC credits. A quorum of 2 is NOT needed to award Challenge score - i.e. no double checker. Therefore, each returned result will earn a Challenge score. Please note that if the result is eventually declared invalid, the score will be removed.

At the Conclusion of the Challenge

    We kindly ask users "moving on" to ABORT their tasks instead of DETACHING, RESETTING, or PAUSING.

    ABORTING tasks allows them to be recycled immediately; thus a much faster "clean up" to the end of an LLR Challenge. DETACHING, RESETTING, and PAUSING tasks causes them to remain in limbo until they EXPIRE. Therefore, we must wait until tasks expire to send them out to be completed.

    Please consider either completing what's in the queue or ABORTING them. Thank you. :)


About the Generalized Cullen/Woodall Prime Search

A Cullen number (first studied by Reverend James Cullen in 1905) is a number of the form n * 2^n + 1. A Woodall number (first studied by Allan Cunningham and H.J. Woodall in 1917) is a number of the form n * 2^n - 1.

Generalized Cullen and Woodall numbers are of the form n * b^n + 1 and n * b^n - 1, respectively, where n + 2 > b.

A couple of years ago PrimeGrid moved its search for Generalized Cullen and Generalized Woodall primes from PRPNet to BOINC. A double-check of all ranges searched by PRPNet has been completed by PrimeGrid, and is continuing on with new work running multiple bases (b values) concurrently and incrementing through n values.

PrimeGrid is sieving to a much larger n than has been previously done. The largest candidates will be in excess of 15,000,000 digits, and will be the same size as the largest candidates in the Seventeen or Bust project.

Once PrimeGrid finds a Generalized Cullen or Woodall on a base, it stops looking for Generalized Cullen or Woodall primes on that base, depending on the type found. For all the current bases, PrimeGrid will initially be searching only for Generalized Cullen Primes. For detail about the bases PrimeGrid will be searching (and has searched), you can go here: http://www.primegrid.com/forum_thread.php?id=3008&nowrap=true#30718.

In addition to having found the largest known Cullen prime http://primes.utm.edu/primes/page.php?id=89536 and largest known Woodall prime http://primes.utm.edu/primes/page.php?id=124539, PrimeGrid has found the largest known Generalized Cullen prime, http://primes.utm.edu/primes/page.php?id=124515 and the 4th largest known Generalized Woodall prime http://primes.utm.edu/primes/page.php?id=98862.

For more information on Generalized Cullen and Woodall Numbers, you can go here: http://primes.utm.edu/top20/page.php?id=42 and here: http://primes.utm.edu/top20/page.php?id=45.

What is LLR?

The Lucas-Lehmer-Riesel (LLR) test is a primality test for numbers of the form N = k*2^n − 1, with 2^n > k. Also, LLR is a program developed by Jean Penne that can run the LLR-tests. It includes the Proth test to perform +1 tests and PRP to test non base 2 numbers. See also:



What is LLR2?

LLR2 is an improvement to the LLR application developed by our very own Pavel Atnashev and stream. It utilizes Gerbicz checks to enable the Fast DoubleCheck feature, which will nearly double the speed of PrimeGrid's progress on the projects it's applied to. For more information, see this forum post.

8) Message boards : Number crunching : Once in a Blue Moon Challenge (Message 151441)
Posted 47 days ago by Profile Michael GutierrezProject donor
The results are final!

During these 10 days, we completed 18,524 tasks. Unfortunately the blue moon did not bring us the luck of a new prime, but we still did a phenomenal amount of work, since each task is so large. The challenge boosted the project's average output to 20 times typical.

119 teams and 502 individuals participated in the Challenge.

Top Three Individuals:
1. vaughan
2. Skillz
3. tng

Top Three Teams:
1. TeAm AnandTech
2. Antarctic Crunchers
3. SETI.Germany


The next Challenge is Martin Gardner's Birthday Challenge, which starts October 21. We hope to see you there! Thank you again to everyone. We really appreciate your *phenomenal* participation and hope you had fun!
9) Message boards : Number crunching : Once in a Blue Moon Challenge (Message 151261)
Posted 63 days ago by Profile Michael GutierrezProject donor
Cleanup Status:

Aug 22: 2399 tasks outstanding; 1677 affecting individual (232) scoring positions; 807 affecting team (50) scoring positions.
Aug 23: 890 tasks outstanding; 556 affecting individual (152) scoring positions; 234 affecting team (24) scoring positions.
Aug 24: 541 tasks outstanding; 303 affecting individual (117) scoring positions; 37 affecting team (14) scoring positions.
Aug 25: 371 tasks outstanding; 190 affecting individual (91) scoring positions; 22 affecting team (10) scoring positions.
Aug 26: 318 tasks outstanding; 128 affecting individual (77) scoring positions; 15 affecting team (8) scoring positions.
Aug 27: 200 tasks outstanding; 77 affecting individual (50) scoring positions; 9 affecting team (6) scoring positions.
Aug 28: 79 tasks outstanding; 26 affecting individual (20) scoring positions; 3 affecting team (3) scoring positions.
Aug 29: 59 tasks outstanding; 22 affecting individual (17) scoring positions; 3 affecting team (3) scoring positions.
Aug 30: 34 tasks outstanding; 10 affecting individual (9) scoring positions; 3 affecting team (3) scoring positions.
Aug 31: 21 tasks outstanding; 7 affecting individual (7) scoring positions; 3 affecting team (3) scoring positions.
Sep 1: 6 tasks outstanding; 4 affecting individual (4) scoring positions; 2 affecting team (2) scoring positions.
Sep 2: 4 tasks outstanding; 3 affecting individual (3) scoring positions; 2 affecting team (2) scoring positions.
Sep 3: 4 tasks outstanding; 3 affecting individual (3) scoring positions; 2 affecting team (2) scoring positions.
Sep 4: 4 tasks outstanding; 3 affecting individual (3) scoring positions; 2 affecting team (2) scoring positions.
Sep 5: 3 tasks outstanding; 2 affecting individual (2) scoring positions; 1 affecting team (1) scoring positions.
Sep 6: 3 tasks outstanding; 2 affecting individual (2) scoring positions; 1 affecting team (1) scoring positions.
Sep 7: 2 tasks outstanding; 1 affecting individual (1) scoring positions; 1 affecting team (1) scoring positions.
10) Message boards : Number crunching : Once in a Blue Moon Challenge (Message 151241)
Posted 64 days ago by Profile Michael GutierrezProject donor
And we're done! Phenomenal work to everyone, we continue to blow previous records out of the water. Cleanup tasks now available, final stats below!

Challenge: Once In a Blue Moon
App: 8 (PSP-LLR)
Fast DC tasks are NOT included.
(As of 2021-08-23 06:32:50 UTC)

51121 tasks have been sent out. [CPU/GPU/anonymous_platform: 51121 (100%) / 0 (0%) / 0 (0%)]

Of those tasks that have been sent out:

24138 (47%) were aborted. [24138 (47%) / 0 (0%) / 0 (0%)]
1037 (2%) came back with some kind of an error. [1037 (2%) / 0 (0%) / 0 (0%)]
18524 (36%) have returned a successful result. [18524 (36%) / 0 (0%) / 0 (0%)]
6042 (12%) are still in progress. [6042 (12%) / 0 (0%) / 0 (0%)]

Of the tasks that have been returned successfully:

1926 (10%) are pending validation. [1926 (10%) / 0 (0%) / 0 (0%)]
16598 (90%) have been successfully validated. [16598 (90%) / 0 (0%) / 0 (0%)]
2 (0%) were invalid. [2 (0%) / 0 (0%) / 0 (0%)]
0 (0%) are inconclusive. [0 (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=26615093. The leading edge was at n=24605319 at the beginning of the challenge. Since the challenge started, the leading edge has advanced 8.17% as much as it had prior to the challenge!


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