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 Darren Li  Volunteer moderator
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Welcome to Homestuck Day Challenge: 7 day Generalized Cullen/Woodall Prime Search LLR (GCW) from April 13 04:29 UTC to April 20 04:29 UTC
it's 4/13 again it's the anniversary of the webcomic homestuck i'm not sure what to put here go read homestuck if you want
To participate in the challenge:
- Wait until the challenge timeframe starts (or set your BOINC Client download schedule accordingly), as tasks issued before the challenge will not count.
- In your PrimeGrid preferences section, select only the Generalized Cullen/Woodall Prime Search LLR (GCW) project.
Important reminders:
- Note on GCW tasks: PRST (the program GCW runs on) 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.
- The typical deadline for some of these WUs is longer than the challenge time-frame, so make sure your computer is able to return the WUs within 7 days. Only tasks issued AFTER the start time and returned BEFORE the finish time will be counted.
- 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 a 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. Thanks!
Let's talk about hardware:
Let's talk about hardware:
Supported platforms for PRST (GCW) tasks:
- Windows: 32 bit, 64 bit
- Linux: 32 bit, 64 bit
- Mac: 64 bit
- Multi-threading is supported and IS recommended. Click here to set the maximum number of threads.
- Uses fast proof tasks so no double check tasks are needed. Everyone is "first"!
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 running LLR tasks, and CPUs with AVX-512 capabilities (certain recent Intel Skylake-X and Xeon CPUs, AMD Ryzen 7000 and EPYC CPUs) will be the fastest.
Note that PRST is running the latest AVX-512 version of gwnum which takes full advantage of the features of these newer CPUs.
As with all number crunching, excessive heat can potentially cause permanent hardware failure. Please ensure your cooling system is sufficient. Please see this post for more details on how you can "stress test" your CPU.
As with all number crunching, excessive heat can potentially cause permanent hardware failure. Please ensure your cooling system is sufficient. Please see this post for more details on how you can "stress test" your CPU.
Additional information:
Time zone converter:
April 13 04:29 UTC to April 20 04:29 UTC
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 April 13 04:29 UTC and BEFORE April 20 04:29 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.
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 https://t5k.org/primes/page.php?id=89536 and largest known Woodall prime https://t5k.org/primes/page.php?id=124539, PrimeGrid has found the largest known Generalized Cullen prime, https://t5k.org/primes/page.php?id=132658.
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SkillzSend message
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Are you sure it ends on the 17th and not the 20th? |
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Darren Li Volunteer moderator
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The challenge ends on the 20th and lasts for 7 days. The first post has been fixed and I am so sorry for the wrong information. |
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I've been putting most of my compute time on GCW for the last couple of years. While I will be disappointed if someone else gets the next find (and the badge that goes with it), I will be glad to see another large prime found by the project. Best of luck to everyone!
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I've been putting most of my compute time on GCW for the last couple of years. While I will be disappointed if someone else gets the next find (and the badge that goes with it), I will be glad to see another large prime found by the project. Best of luck to everyone!
I appreciate your involvement in GCW all these years! I also root for the project and all the seekers – may the next great prime be found, regardless of who gets the honor.
Good luck.😊
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tng Send message
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I've been putting most of my compute time on GCW for the last couple of years. While I will be disappointed if someone else gets the next find (and the badge that goes with it), I will be glad to see another large prime found by the project. Best of luck to everyone!
I'm certainly hoping we can find another one -- it's been too long.
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what is IS?
"Multi-threading is supported and IS recommended." |
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what is IS?
"Multi-threading is supported and IS recommended."
Not an initialism. It's regular old "is" but with emphasis in that it's a very, very good idea to run multithreading.
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Eating more cheese on Thursdays. |
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Davina 
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Should be underlined. |
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mikey
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what is IS?
"Multi-threading is supported and IS recommended."
IS is written to show emphasis on doing it. |
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Sysadm@Nbg Volunteer moderator
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what is IS?
"Multi-threading is supported and IS recommended."
"IS" means "do it but don't blame others if you don't"
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Sysadm@Nbg
my current lucky number: 456121176^131072 + 1
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Depends on what the meaning of "IS" is sounds so familiar; where have I heard that before?
Anyway good luck finding a GCW this challenge. It will be a huge find and it sure would be a nice one for sure.
Good luck, you'll need it. |
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Buenas a todos.
One question.
Will you count this task for the challenge?
I'm considering cancelling.
Thank you.
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Michael Goetz Volunteer moderator
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Buenas a todos.
One question.
Will you count this task for the challenge?
I'm considering cancelling.
Thank you.
If the time estimate is correct then it won't count for the challenge.
That's running on the Core2Duo? If so, then yes, I'd cancel it. These are very large tasks and that CPU is ancient. The newer CPUs that you have running CGW will do much better.
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My lucky number is 75898524288+1 |
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I'll cancel the task, too long for this old laptop...
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https://es.libretranslate.com/ |
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Will you count this task for the challenge?
Of course, the important sentence in the original post above is: Only tasks issued AFTER the start time and returned BEFORE the finish time will be counted.
/JeppeSN |
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I see nine white rows on /stats_gcw_llr.php. Do you have any favorite base among the nine? I guess 49 and 121 are a bit special since they are squares (72 and 112). Any prime found here can have its form simplified (at the cost of making it harder to see it is a generalized Cullen).
For other bases, you can only simplify in the event the lucky n is divisible by the base.
Judged by the task counts, it seems 109 is the lightest sequence, and 13 is the heaviest one.
/JeppeSN |
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Judged by the task counts, it seems 109 is the lightest sequence, and 13 is the heaviest one.
I think 13 is the heaviest one because we are testing candidates based on their number of digits and not linear based on the coefficient/exponent value for GCW.
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Michael Goetz Volunteer moderator
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Judged by the task counts, it seems 109 is the lightest sequence, and 13 is the heaviest one.
I think 13 is the heaviest one because we are testing candidates based on their number of digits and not linear based on the coefficient/exponent value for GCW.
If you define "heaviness" as "the relative number of candidates of base X as compared to candidates of base Y", then:
+-----+----------+
| b | count(*) |
+-----+----------+
| 7 | 737 |
| 11 | 578 |
| 13 | 1085 |
| 29 | 714 |
| 47 | 689 |
| 55 | 890 |
| 69 | 1100 |
| 101 | 517 |
| 109 | 514 |
+-----+----------+
Those are the main tasks currently in progress, meaning out on computers (presumably) being crunched right now.
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My lucky number is 75898524288+1 |
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Depends on what the meaning of "IS" is sounds so familiar; where have I heard that before?
I can't remember whether he actually said that exact phrase, or if it was something out of an SNL parody of the more famous statement he made on the stand, (it wouldn't be appropriate to post that one here), but it was Bill Clinton.
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Eating more cheese on Thursdays. |
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Judged by the task counts, it seems 109 is the lightest sequence, and 13 is the heaviest one.
I think 13 is the heaviest one because we are testing candidates based on their number of digits and not linear based on the coefficient/exponent value for GCW.
If you define "heaviness" as "the relative number of candidates of base X as compared to candidates of base Y", then:
+-----+----------+
| b | count(*) |
+-----+----------+
| 7 | 737 |
| 11 | 578 |
| 13 | 1085 |
| 29 | 714 |
| 47 | 689 |
| 55 | 890 |
| 69 | 1100 |
| 101 | 517 |
| 109 | 514 |
+-----+----------+
Those are the main tasks currently in progress, meaning out on computers (presumably) being crunched right now.
Yes, that is what I meant. You can also count ALL tasks (not just currently in progress), but it should give the same picture.
In the query above, you got "7" and "11" for the bases 49 and 121, but easy to comprehend.
/JeppeSN |
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Michael Goetz Volunteer moderator
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Challenge: Homestuck Day
App: 30 (GCW)
Fast DC tasks are NOT included.
(As of 2025-04-15 12:51:49 UTC)
15724 tasks have been sent out. [CPU/GPU/anonymous_platform: 15718 (100%) / 0 (0%) / 6 (0%)]
Of those tasks that have been sent out:
1930 (12%) were aborted. [1930 (12%) / 0 (0%) / 0 (0%)]
183 (1%) came back with some kind of an error. [183 (1%) / 0 (0%) / 0 (0%)]
5142 (33%) have returned a successful result. [5140 (33%) / 0 (0%) / 2 (0%)]
8469 (54%) are still in progress. [8465 (54%) / 0 (0%) / 4 (0%)]
Of the tasks that have been returned successfully:
1901 (37%) are pending validation. [1900 (37%) / 0 (0%) / 1 (0%)]
3241 (63%) have been successfully validated. [3240 (63%) / 0 (0%) / 1 (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=8796780. The leading edge was at n=8586660 at the beginning of the challenge. Since the challenge started, the leading edge has advanced 2.45% as much as it had prior to the challenge!
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My lucky number is 75898524288+1 |
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If you define "heaviness" as "the relative number of candidates of base X as compared to candidates of base Y", then:
+-----+----------+
| b | count(*) |
+-----+----------+
| 7 | 737 |
| 11 | 578 |
| 13 | 1085 |
| 29 | 714 |
| 47 | 689 |
| 55 | 890 |
| 69 | 1100 |
| 101 | 517 |
| 109 | 514 |
+-----+----------+
Those are the main tasks currently in progress, meaning out on computers (presumably) being crunched right now.
They tell us on Slack, "we" have found a prime!
And it is the heavy base 69 we are getting rid of. So that the one-time badge  is going to be awarded!
This will be the second largest prime ever found by PrimeGrid!
Extra info: 23 is the greatest common divisor of b=69 and the new n (where the prime is written n·69n + 1).
/JeppeSN |
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If you define "heaviness" as "the relative number of candidates of base X as compared to candidates of base Y", then:
+-----+----------+
| b | count(*) |
+-----+----------+
| 7 | 737 |
| 11 | 578 |
| 13 | 1085 |
| 29 | 714 |
| 47 | 689 |
| 55 | 890 |
| 69 | 1100 |
| 101 | 517 |
| 109 | 514 |
+-----+----------+
Those are the main tasks currently in progress, meaning out on computers (presumably) being crunched right now.
They tell us on Slack, "we" have found a prime!
And it is the heavy base 69 we are getting rid of. So that the one-time badge is going to be awarded!
This will be the second largest prime ever found by PrimeGrid!
Extra info: 23 is the greatest common divisor of b=69 and the new n (where the prime is written n·69n + 1).
/JeppeSN
"Nice!"
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Eating more cheese on Thursdays. |
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They tell us on Slack, [...]
I think you need to remember the correct spelling of Discord? ;-)
Or is there a Slack as well?
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Greetings, Jens
147433824^131072+1 |
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They tell us on Slack, [...]
I think you need to remember the correct spelling of Discord? ;-)
Oops, you are right! I meant Discord 🤦
/JeppeSN |
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EA6LE 
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They tell us on Slack, "we" have found a prime!
And it is the heavy base 69 we are getting rid of. So that the one-time badge is going to be awarded!
This will be the second largest prime ever found by PrimeGrid!
Mark got it https://www.primegrid.com/show_user.php?userid=849529.
https://t5k.org/primes/page.php?id=140607
Congrats!!! |
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Mark got it https://www.primegrid.com/show_user.php?userid=849529.
https://t5k.org/primes/page.php?id=140607
Congrats!!!
Yeah, great find!
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Greetings, Jens
147433824^131072+1 |
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Thanks. So its the 2nd largest ever for primegrid and 16th largest in the world is what I hear !
This was on my personal work 9554 ES (could be QS??) (I am retired) I use for checking and paying bills etc. |
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Michael Goetz Volunteer moderator
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Challenge: Homestuck Day
App: 30 (GCW)
Fast DC tasks are NOT included.
(As of 2025-04-18 15:52:49 UTC)
28847 tasks have been sent out. [CPU/GPU/anonymous_platform: 28829 (100%) / 0 (0%) / 18 (0%)]
Of those tasks that have been sent out:
7135 (25%) were aborted. [7135 (25%) / 0 (0%) / 0 (0%)]
279 (1%) came back with some kind of an error. [279 (1%) / 0 (0%) / 0 (0%)]
14541 (50%) have returned a successful result. [14534 (50%) / 0 (0%) / 7 (0%)]
6892 (24%) are still in progress. [6881 (24%) / 0 (0%) / 11 (0%)]
Of the tasks that have been returned successfully:
5641 (39%) are pending validation. [5639 (39%) / 0 (0%) / 2 (0%)]
8900 (61%) have been successfully validated. [8895 (61%) / 0 (0%) / 5 (0%)]
1 (0%) were invalid. [1 (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=8925696. The leading edge was at n=8586660 at the beginning of the challenge. Since the challenge started, the leading edge has advanced 3.95% as much as it had prior to the challenge!
Of course, the big news is Mark's incredible find of the 7+ million digit GCW 4052186 * 69 4052186 + 1. Congratulations, Mark!
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My lucky number is 75898524288+1 |
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There are no like icons or anything, so thanks for the kudos Michael ! |
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Of course, the big news is Mark's incredible find of the 7+ million digit GCW 4052186 * 2 4052186 + 1. Congratulations, Mark!
Typo, the base is 69. Here is a link: 4052186*69^4052186 + 1
/JeppeSN |
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Michael Goetz Volunteer moderator
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Of course, the big news is Mark's incredible find of the 7+ million digit GCW 4052186 * 2 4052186 + 1. Congratulations, Mark!
Typo, the base is 69. Here is a link: 4052186*69^4052186 + 1
/JeppeSN
Duh!
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My lucky number is 75898524288+1 |
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@michael Goetz How long will complete verification take ?
so this https://t5k.org/primes/page.php?id=140607 does not say verification in process ?? |
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@michael Goetz How long will complete verification take ?
so this https://t5k.org/primes/page.php?id=140607 does not say verification in process ??
It will take many days. Look near the bottom of the page, where it says "notes" and "N-1: 4052186*69^4052186+1 XXX/24752900 mro=0" where XXX is a number that updates with time. /JeppeSN |
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robish Volunteer moderator
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Very well done Mark. Great find. Congrats 👏
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My lucky number 10590941048576+1 |
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Michael Goetz Volunteer moderator
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@michael Goetz How long will complete verification take ?
so this https://t5k.org/primes/page.php?id=140607 does not say verification in process ??
T5K's computing resources are meager compared to yours, or PrimeGrid's. It looks like it's going to take about 11 more days.
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My lucky number is 75898524288+1 |
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Michael Goetz Volunteer moderator
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As we approach the end of the challenge in a bit more than a day...
There's a bit more than a day to go in the challenge.
First of all, thanks to everyone for participating. A phenomenal amount of work has been done. You all have done great!
And, of course, we found a HUGE prime!
As the challenge ends some of you are going to move on to other projects. If you still have challenge tasks on your computer(s), please either let them run to completion (preferred), or abort them so that those tasks can be resent to other computers immediately. This helps us finalize the challenge results in a timely manner. Thank you all, and I'm looking forward to seeing you in June for our 20th Birthday!!!
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My lucky number is 75898524288+1 |
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Congrats to markfw! Incredible luck! The only base divisible by 3, second largest PG number! Well deserved!
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Congrats to markfw! Incredible luck! The only base divisible by 3, second largest PG number! Well deserved!
An excellent observation that this was the only base left divisible by 3. This means that sieving with factor 3 on n*69^n + 1 removes no candidates (removes no n). For a base not divisibly by 3, sieving with 3 will remove a third of all the candidates (ignoring the fact that some of these were already removed when sieving with 2, unless the base is even).
The last base divisible by 2, i.e. the last even base, was removed by Scott Brown in 2018.
What about bases divisible by 5? There is only one left, namely b = 55. Also, the only base left divisible by 7 is b = 49.
/JeppeSN |
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Michael Goetz Volunteer moderator
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We're done! Great job everyone.
Final stats:
Challenge: Homestuck Day
App: 30 (GCW)
Fast DC tasks are NOT included.
(As of 2025-04-20 04:29:36 UTC)
35655 tasks have been sent out. [CPU/GPU/anonymous_platform: 35632 (100%) / 0 (0%) / 23 (0%)]
Of those tasks that have been sent out:
11760 (33%) were aborted. [11748 (33%) / 0 (0%) / 12 (0%)]
265 (1%) came back with some kind of an error. [265 (1%) / 0 (0%) / 0 (0%)]
19016 (53%) have returned a successful result. [19005 (53%) / 0 (0%) / 11 (0%)]
4613 (13%) are still in progress. [4613 (13%) / 0 (0%) / 0 (0%)]
Of the tasks that have been returned successfully:
7528 (40%) are pending validation. [7526 (40%) / 0 (0%) / 2 (0%)]
11488 (60%) have been successfully validated. [11479 (60%) / 0 (0%) / 9 (0%)]
3 (0%) were invalid. [3 (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=8972156. The leading edge was at n=8586660 at the beginning of the challenge. Since the challenge started, the leading edge has advanced 4.49% as much as it had prior to the challenge!
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My lucky number is 75898524288+1 |
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Conan 
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Getting over 2.5 million points during the challenge has got me to under 1,000,000 points until I reach my GCW 10 Million badge.
With 40 work units still to process I will keep going till I get it.
Thanks Prime Grid Team for another well run Challenge.
Conan
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Also thanks to Prime Grid Team for organizing another challenge. 🥰
And congratulations to 🫡 markfw 👑 for the find. 🥳
A properly managed and maintained fleet of computers will finally do its job. 🎱
And I wish all users patience and perseverance. Good luck. 🍀
I'll see you at the next game. 😍
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Exciting progress for the project. I'm eager to see how much faster the project advances now that one candidate has been removed. 8 remain, we'll see if I have enough compute power/persistence to eliminate one of them.
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Darren Li Volunteer moderator
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Congratulations to our top users -
1. Icecold from TeAm AnandTech
2. valterc from BOINC.Italy
3. vaughan from AMD Users
4. tng from Antarctic Crunchers
5. [TA]Skillz from TeAm AnandTech
and our top teams!
1. TeAm AnandTech
2. SETI.Germany
3. AMD Users
4. Czech National Team
5. Antarctic Crunchers
Special congratulations to markfw for finding a very big prime!
(A week late. Oops.) |
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EA6LE
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Congratulations to our top users -
1. Icecold from TeAm AnandTech
2. valterc from BOINC.Italy
3. vaughan from AMD Users
4. tng from Antarctic Crunchers
5. [TA]Skillz from TeAm AnandTech
and our top teams!
1. TeAm AnandTech
2. SETI.Germany
3. AMD Users
4. Czech National Team
5. Antarctic Crunchers
Special congratulations to markfw for finding a very big prime!
(A week late. Oops.)
This is the classification for Peter Bergmann's Birthday Challenge. |
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Michael Goetz Volunteer moderator
Project administrator
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Joined: 21 Jan 10
Posts: 14693
ID: 53948
Credit: 1,042,938,327
RAC: 2,881
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Congratulations to our top users -
1. Icecold from TeAm AnandTech
2. valterc from BOINC.Italy
3. vaughan from AMD Users
4. tng from Antarctic Crunchers
5. [TA]Skillz from TeAm AnandTech
and our top teams!
1. TeAm AnandTech
2. SETI.Germany
3. AMD Users
4. Czech National Team
5. Antarctic Crunchers
Special congratulations to markfw for finding a very big prime!
(A week late. Oops.)
This is the classification for Peter Bergmann's Birthday Challenge.
The Homestuck Day challenge isn't over yet. :)
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My lucky number is 75898524288+1 |
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Congratulations to our top users -
1. Icecold from TeAm AnandTech
2. valterc from BOINC.Italy
3. vaughan from AMD Users
4. tng from Antarctic Crunchers
5. [TA]Skillz from TeAm AnandTech
and our top teams!
1. TeAm AnandTech
2. SETI.Germany
3. AMD Users
4. Czech National Team
5. Antarctic Crunchers
Special congratulations to markfw for finding a very big prime!
(A week late. Oops.)
This is the classification for Peter Bergmann's Birthday Challenge.
The Homestuck Day challenge isn't over yet. :)
This forum thread is about the latter challenge? /JeppeSN |
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Darren Li Volunteer moderator
Project administrator
Project scientist
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Joined: 25 Dec 21
Posts: 87
ID: 1465220
Credit: 709,175,851
RAC: 0
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I have made the grave mistake of choosing the wrong challenge to format rankings of. Sorry for the mixup and thank you to tng for pointing this out (and further apologies for misposting your rank 1!)
Congratulations to our top users -
1. tng from Antarctic Crunchers
2. Icecold from TeAm AnandTech
3. markfw from TeAm AnandTech
4. Aperture_Science_Innovators from [H]ard|OCP
5. EA6LE from Romania
and our top teams!
1. TeAm AnandTech
2. Czech National Team
3. Antarctic Crunchers
4. [H]ard|OCP
5. SETI.Germany |
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Michael Goetz Volunteer moderator
Project administrator
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Joined: 21 Jan 10
Posts: 14693
ID: 53948
Credit: 1,042,938,327
RAC: 2,881
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This challenge cleanup is FINALLY over. One stubborn task got stuck in an unusual scenario and took about 2 months to resolve.
The results are now final and locked in. See you all in the next challenge... in a few days!
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My lucky number is 75898524288+1 |
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Conan
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Joined: 24 Mar 09
Posts: 1184
ID: 37336
Credit: 299,200,076
RAC: 271,442
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This challenge cleanup is FINALLY over. One stubborn task got stuck in an unusual scenario and took about 2 months to resolve.
The results are now final and locked in. See you all in the next challenge... in a few days!
Well it was the HomeSTUCK Day challenge, living up to it's name
Conan
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