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streamVolunteer moderator
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Current project status
Project goal has been reached, finding two GFN-15 MEGA primes, close to each other.
Project finished. Testing was performed on all candidates up to bmin+1000000.
Timeline
2020-06-27: Project started
2020-07-17: GFN-15 Mega Prime found
2020-07-20: GFN-15 Mega Prime found
2020-10-27: Start of project cleanup before shutdown
2020-12-02: Last task returned, project closed.
Project description
After successful completion of GFN-16 MEGA Prime search, the search for GFN mega primes will continue. The GFN-15 First Mega Prime search will be started June 27, 2020, at 12:00 UTC!
If you're familiar with GFN-16-Mega project, there is not much difference and most of information below should be already known to you.
Project goals
1. Find first GFN-15 Mega prime - there are no GFN-15 Mega primes currently known.
GFN-15 prime is written as b32768+1. To reach 1000000 digits, 'b' must be very big. We name this starting value as bmin. For GFN-15, bmin=3292665455999520712131951278260. Later in the thread, we will not use absolute value of b, instead, we will say "bmin+something".
2. Find new smallest prime with exactly 1000000 digits.
Previous world smallest prime was found during our GFN-16 Mega search. If we'll be lucky and can find a new prime fast enough, it can be less then our previous find.
All primes will be reported to T5K.
Schedule
The search will be started on June 27, 2020, at 12:00 UTC. No task will be available until this point.
Our main goal is to find only one prime, so project will be to be stopped when prime is found. After this, a one month grace period will be started. During grace period, new work will be loaded and project will continue to function without changes. You can use this period to reach credit or WuProp goals, or even find more primes!
If we find a prime faster then in 3 month, overall project length (including grace period) will be set to 4 months.
How to participate (for new users)
The search is held on my experimental GFN server. To participate as new user, please register at this Boinc server at http://boincvm.proxyma.ru:30080/test4vm/
- Go to URL above;
- Click on "Your account" on left panel;
- Click on the "or create an account" link in the bottom left part of the page;
- In the "Invitation Code" field, enter PrimeGrid
- Fill other fields in usual way. It's preferred to use same email address as on PrimeGrid.
- After registration, connect your Boinc client to the project using URL above. It's recommended to use "weak account key" in place of of true password. Your can get your weak key on "Your account" page, click on "Account keys"
After registration, please go to "Your account" -> "Computing Preferences" and verify that correct projects has been selected.
The server is compatible with PrimeGrid and supports extra venues (Sun...Pluto). Note: this is not a PrimeGrid server. Although all discussion and support happens here on PrimeGrid forum, the server is running on my own resources.
Software
This project will use LLR2 in it's full and most powerful way, in one-pass validation mode, developed by LLR2 author, Pavel Atnashev. Instead as running same job twice, a tiny validation task - as small as 1/64th of original test - will be sent to prove correctness of original calculation. It's like a calculation of digital signature.
It mean that there are no more wingmans and waits for wingman. You don't need to hurry to return your task first. It's more like a lottery - if you got right ticket from the server, the win will be yours no matter will your open the ticket sooner or later.
Additionally, LLR2 supports Gerbicz check to detect hardware errors. An occasional CPU or memory glitch will not ruin your result as inconclusive/invalid. Instead, test will be restarted from last known-good checkpoint.
Optimizing performance
Tasks will took 4-8 hours on a single core of modern processors with FMA3. LLR multithreading will help to use CPU cache better and improve overall throughput. It was discussed many times on PG forums and I'll not repeat all details here.
Application name for app_config.xml is gfn15_mega, and minimal app_config.xml for 4 threads may look like this:
<app_config>
<app_version>
<app_name>gfn15_mega</app_name>
<cmdline>-t 4</cmdline>
<avg_ncpus>4</avg_ncpus>
</app_version>
</app_config>
Running PrimeGrid as backup project
My server is experimental, it may have network problems. It's a good idea to crunch something even if project server temporary goes offline. Go to PrimeGrid Preferences page and set "Resource Share" to 0. If GFN server becomes out work or unreachable, your Boinc client will automatically switch to PrimeGrid tasks until GFN server recovers.
Acknowledgements
This search will be not possible without help of these peoples:
- Yves Gallot, our GFN wizard, who wrote special sieving software for this project, saving us many days of work;
- robish and Kellen, guys who did all sieving on their GPUs.
Good luck and happy crunching! |
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 robish Volunteer moderator
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Can't wait :)
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My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26 |
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Currently, the smallest proven megaprime is the first GF-16 mega we found in the previous project, namely:
1814570322977518^65536 + 1
Of course, this can be written in GFN-15 form, for it is equal to:
3292665457030733988997133440324^32768 + 1
or:
(b_min + 1031213276865182162064)^32768 + 1
Clearly, if this project is successful, the "offset" over b_min is going to be much smaller. As such, the prime will be smaller than the currently smallest proven megaprime, for sure.
/JeppeSN |
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VatoVolunteer tester
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I was ready at the end of the Turing challenge, I guess i can wait the extra 14 hours...
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Can't wait :)
Yuppp, how 'bout you rock another 2 1000000-digit-MEGAs? ;-P
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My lucky number is 6219*2^3374198+1
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FrankSend message
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Looking forward to it! |
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robishVolunteer moderator
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Can't wait :)
Yuppp, how 'bout you rock another 2 1000000-digit-MEGAs? ;-P
:) One will do nicely :)
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My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26 |
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streamVolunteer moderator
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Statistics page: http://boincvm.proxyma.ru:30080/test4vm/user_profile/gfn15_hunt_status.html
Also available from left menu on site.
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stream: are the stats for GFN15 updating every 6 hours? |
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streamVolunteer moderator
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stream: are the stats for GFN15 updating every 6 hours?
Yes, although the point of update is slowly drifting forward (this is a "feature" of built-in Boinc scheduler).
(Note that on the first day they were updated randomly, sometimes by cron, sometimes by me manually for debugging. And the graph need at least 2 days of data to draw a visible line).
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Maybe offtop but: how many numbers eliminated by division by 65537?
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Yves GallotVolunteer developer
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Maybe offtop but: how many numbers eliminated by division by 65537?
Half of them.
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Yes, 32768 out of every 65537 b values, so that is 49.9992 percent. /JeppeSN |
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streamVolunteer moderator
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Wow! 1000 tasks (and eliminated candidates) per day!
Hurry up guys, we have only 73632 candidates to test! :) Predicted average distance between primes is 1 prime per 30000 tests.
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stream: are the stats for GFN15 updating every 6 hours?
Yes, although the point of update is slowly drifting forward (this is a "feature" of built-in Boinc scheduler).
(Note that on the first day they were updated randomly, sometimes by cron, sometimes by me manually for debugging. And the graph need at least 2 days of data to draw a visible line).
----------------------------------------------------------------------------------------
There may be a "bug" with the GFN15 Stats Report. I ran 4 tasks between 17:00 and 19:00 GMT yesterday, which were successful, but I do not appear on today's GFN15 Stats.
Also, at some point will you show primes found? |
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streamVolunteer moderator
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There may be a "bug" with the GFN15 Stats Report. I ran 4 tasks between 17:00 and 19:00 GMT yesterday, which were successful, but I do not appear on today's GFN15 Stats.
These tasks were certificates (if you'll look at task output, there are words "VerifyCert" on command line). Certificates are short and not shown in statistic. Normal task should take at least 2-3 hours each on 4 threads, and more then 12 hours in single-thread Boinc setups.
Also, at some point will you show primes found?
Unlike GFN-13/14, we're expecting to find only one, may be two primes during this project. It'll be big discovery and it'll be immediately announced. |
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streamVolunteer moderator
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10% tested, no primes yet.
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When I try to visit the site I get:
Apache2 Debian Default Page
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When I try to visit the site I get:
Apache2 Debian Default Page
this?
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My lucky number is 6219*2^3374198+1
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When I try to visit the site I get:
Apache2 Debian Default Page
this?
Correct. You must include the folder, so:
http://boincvm.proxyma.ru:30080/test4vm/
not:
http://boincvm.proxyma.ru:30080/
/JeppeSN |
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streamVolunteer moderator
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When I try to visit the site I get:
Apache2 Debian Default Page
Yes, this is a secret server :)
Please use full URL (with path) from first post.
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streamVolunteer moderator
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20% tested, no primes yet.
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May I serve a prime appertizer?
100000000000129148192 + 1 |
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May I serve a prime appertizer?
100000000000129148192 + 1
οΌ
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My lucky number is 6219*2^3374198+1
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tngSend message
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May I serve a prime appertizer?
100000000000129148192 + 1
οΌ
Agreed. ?
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May I serve a prime appertizer?
100000000000129148192 + 1
I'm going to run that number in LLR.
It IS prime, but it's a GFN13 smaller than T5K range:
10000000000012914^8192+1 may be prime, trying to compute gcd's
3^((N-1)/1020178519)-1 is coprime to N!
10000000000012914^8192+1 is prime! (131073 decimal digits) Time : 459.421 sec.
Well, I must say, quite a small appetizer when we're searching MEGAs!
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My lucky number is 6219*2^3374198+1
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I'm sorry for accidentally submitting this prime! How can I delete this entry, and will it be deleted automatically by T5K?
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My lucky number is 6219*2^3374198+1
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οΌ
just thought you guys like GFNs with large base ;) |
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Is it the smallest GFN-13 with b > 10^16? /JeppeSN |
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οΌ
just thought you guys like GFNs with large base ;)
I liked it so much that I submitted it.... :-D
What would be really cool is some prime with exponent/base right under a power of 10, ex. 99998834^8192+1
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My lucky number is 6219*2^3374198+1
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Is it the smallest GFN-13 with b > 10^16? /JeppeSN
Yep, it is. It's not too hard to find primes of this size, so I thought why not just go for it.
Wrote my own homemade (crappy python) sieve for it to get at least a few candidates out of the way before testing, so that was fun xD
Anyway, sorry for creating such much confusion :0 |
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30% tested, no primes yet. |
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Dave
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Just signed up. |
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streamVolunteer moderator
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We found a GFN-15 MEGA!
17 Jul 2020, 01:58:27 UTC, tng found first GFN-15 MEGA Prime: 3292665455999520712131951642528^32768+1 (at bmin+364268). Congratulations!
This prime also will be new smallest prime with exactly 1000000 digits (technically, we must finish all tests below bmin+364268 before saying so, but chances of having one more prime so close are very low).
Although main goal of the project (find first GFN-15 MEGA Prime) has been reached, project, as promised, will be fully functional (new work will be loaded) until Oct 27 2020. You may use this time to reach credit or WuProp goals or even find one more prime! (changes of prime are 1 in 30500 candidates).
Thank you for your participation! Your computers made this discovery possible.
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Yves GallotVolunteer developer
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Congratulations to tng... and all those who found a composite GFN-15 MEGA and proved that 329266545599952071213195164252832768 + 1 is the smallest GFN-15 megaprime!
329266545599952071213195164252832768 + 1 ~ 1.000000000000000000003625Β·10999999 |
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We found a GFN-15 MEGA!
17 Jul 2020, 01:58:27 UTC, tng found first GFN-15 MEGA Prime: 3292665455999520712131951642528^32768+1 (at bmin+364268). Congratulations!
This prime also will be new smallest prime with exactly 1000000 digits (technically, we must finish all tests below bmin+364268 before saying so, but chances of having one more prime so close are very low).
Although main goal of the project (find first GFN-15 MEGA Prime) has been reached, project, as promised, will be fully functional (new work will be loaded) until Oct 27 2020. You may use this time to reach credit or WuProp goals or even find one more prime! (changes of prime are 1 in 30500 candidates).
Thank you for your participation! Your computers made this discovery possible.
Congratsssss to tng!! Also, what was the interval between Robish's two GFN16s?Is it still plausible that in this gap there will be a new prime?
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My lucky number is 6219*2^3374198+1
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streamVolunteer moderator
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Also, what was the interval between Robish's two GFN16s?
Your are correct, difference in their b's was less then 6000. If was very rare effect because average distance between primes in GFN-16 MEGA is about 300K. Very, very, very strong luck is required to repeat this :)
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streamVolunteer moderator
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Also, what was the interval between Robish's two GFN16s?
Your are correct, difference in their b's was less then 6000. If was very rare effect because average distance between primes in GFN-16 MEGA is about 300K. Very, very, very strong luck is required to repeat this :)
LOL. Really.
We just found second GFN-15 MEGA. Congratulation PDW ! You efforts weren't unnoticed by forces of random! :)
New mega is less then first one, so it'll be new minimal mega prime.
And the difference between two megas is just 16634
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Also, what was the interval between Robish's two GFN16s?
Your are correct, difference in their b's was less then 6000. If was very rare effect because average distance between primes in GFN-16 MEGA is about 300K. Very, very, very strong luck is required to repeat this :)
LOL. Really.
We just found second GFN-15 MEGA. Congratulation PDW ! You efforts weren't unnoticed by forces of random! :)
New mega is less then first one, so it'll be new minimal mega prime.
And the difference between two megas is just 16634
whoa whoa whoa
whoa whoa whoa whoa whoa !!!
!!!
WOW!!
HUGE CONGRATS GUYS!!!!!
hmm these seem to come in pairs of two...?πππ
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My lucky number is 6219*2^3374198+1
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PDWSend message
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Also, what was the interval between Robish's two GFN16s?
Your are correct, difference in their b's was less then 6000. If was very rare effect because average distance between primes in GFN-16 MEGA is about 300K. Very, very, very strong luck is required to repeat this :)
LOL. Really.
We just found second GFN-15 MEGA. Congratulation PDW ! You efforts weren't unnoticed by forces of random! :)
New mega is less then first one, so it'll be new minimal mega prime.
And the difference between two megas is just 16634
Thanks, but are you sure it was me ?
It says Gibson Praise over here http://boincvm.proxyma.ru:30080/test4vm/user_profile/gfn15_hunt_status.html |
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Also, what was the interval between Robish's two GFN16s?
Your are correct, difference in their b's was less then 6000. If was very rare effect because average distance between primes in GFN-16 MEGA is about 300K. Very, very, very strong luck is required to repeat this :)
LOL. Really.
We just found second GFN-15 MEGA. Congratulation PDW ! You efforts weren't unnoticed by forces of random! :)
New mega is less then first one, so it'll be new minimal mega prime.
And the difference between two megas is just 16634
Thanks, but are you sure it was me ?
It says Gibson Praise over here http://boincvm.proxyma.ru:30080/test4vm/user_profile/gfn15_hunt_status.html
That's the certificate of the former prime. Notice the numbers.
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My lucky number is 6219*2^3374198+1
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PDWSend message
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That's the certificate of the former prime. Notice the numbers.
Numbers ? Who's looking at the numbers :)
It said 'Primes found: 2' and then lists tng and Gibson ! |
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streamVolunteer moderator
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That's the certificate of the former prime. Notice the numbers.
Numbers ? Who's looking at the numbers :)
It said 'Primes found: 2' and then lists tng and Gibson !
It's a bug in script. Didn't had a chance to test it with two primes :) Will fix it as soon as I get closer to normal keyboard. |
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robishVolunteer moderator
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That's the certificate of the former prime. Notice the numbers.
Numbers ? Who's looking at the numbers :)
It said 'Primes found: 2' and then lists tng and Gibson !
Congrats PDW! Nice one. ;)
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My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26 |
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PDWSend message
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That's the certificate of the former prime. Notice the numbers.
Numbers ? Who's looking at the numbers :)
It said 'Primes found: 2' and then lists tng and Gibson !
It's a bug in script. Didn't had a chance to test it with two primes :) Will fix it as soon as I get closer to normal keyboard.
Be honest, you weren't expecting to get more than 1 prime ;) |
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streamVolunteer moderator
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That's the certificate of the former prime. Notice the numbers.
Numbers ? Who's looking at the numbers :)
It said 'Primes found: 2' and then lists tng and Gibson !
It's a bug in script. Didn't had a chance to test it with two primes :) Will fix it as soon as I get closer to normal keyboard.
Be honest, you weren't expecting to get more than 1 prime ;)
Correct. And since I don't want to ruin my expectations, I've removed second prime from the list.
Just kidding, of course. Technically, workunit is not complete yet because it's waiting for certificate. Script will see new prime when certificate arrives (in worst case - on the next day, counting from 00:00 UTC). I'm receiving immediate notifications in Telegram and do manual validation.
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PDWSend message
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Kid all you want I don't care, just as long as the finder's cheque arrives.
Out of interest, are certificate checks always sent to a different host or to a different user ? |
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streamVolunteer moderator
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Out of interest, are certificate checks always sent to a different host or to a different user ?
The beauty of LLR2 fast validation scheme is that certificate can be sent to anybody, including same user and same host. Certificate is "encrypted" on server. Even if you did original test and still have all intermediate checkpoints, it will not help you to find out "encryption key" or expected response.
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PDWSend message
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The beauty of LLR2 fast validation scheme is that certificate can be sent to anybody, including same user and same host. Certificate is "encrypted" on server. Even if you did original test and still have all intermediate checkpoints, it will not help you to find out "encryption key" or expected response.
Excellent, so I could be checking my own Prime and getting two cheques instead of just one ! |
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The beauty of LLR2 fast validation scheme is that certificate can be sent to anybody, including same user and same host. Certificate is "encrypted" on server. Even if you did original test and still have all intermediate checkpoints, it will not help you to find out "encryption key" or expected response.
Excellent, so I could be checking my own Prime and getting two cheques instead of just one !
! ! !
Rather impossible, I deem.
But with your luck, :)))
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My lucky number is 6219*2^3374198+1
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One can easily get confused. On Top 5000, the newer, smaller prime is already "Proven" (PFGW calls it correctly without a helper file), while the older, slightly larger, prime is "InProcess". The two primes seem to occur in the wrong size order on Top 5000, and their digit rank seems to be swapped.
/JeppeSN |
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PDWSend message
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One can easily get confused. On Top 5000, the newer, smaller prime is already "Proven" (PFGW calls it correctly without a helper file), while the older, slightly larger, prime is "InProcess". The two primes seem to occur in the wrong size order on Top 5000, and their digit rank seems to be swapped.
/JeppeSN
I asked Chris why tng's was still in process and he said it was a handshake error but didn't know what caused it, it is now set to Proven.
I also asked about digit rank and he said: "The digit rank is the rank among those with the same number of digits. Higher rank means a smaller number."
So mine is currently 7th biggest prime with 1,000,000 digits, tng's being slightly larger is 6th, having found out how to search for them mine is also currently the smallest :) |
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I also asked about digit rank and he said: "The digit rank is the rank among those with the same number of digits. Higher rank means a smaller number."
So mine is currently 7th biggest prime with 1,000,000 digits, tng's being slightly larger is 6th, having found out how to search for them mine is also currently the smallest :)
I think I was wrong (I told you it was easy to get confused); the digit rank and ordering was correct all the time. Thanks. /JeppeSN |
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Stream, on the front page the exponent for PDW's prime is wrong ;)
Should I try to test that number? :) Surely it'd not be a megaprime.
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My lucky number is 6219*2^3374198+1
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Stream, on the front page the exponent for PDW's prime is wrong ;)
:)) Thanks, fixed.
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Friendly reminder that the project will be shut down after 22 days, 6 days after 321 SV shuts down, and 1 day and 18 hours and 1 second after the PPS-DIV challenge ends. :) Best of luck to the searchers!
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My lucky number is 6219*2^3374198+1
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PDWSend message
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Unless there is an upsurge in work being done the 22% that remains to be done at the moment won't be completed in time, we are doing less than 1% a day.
Just wondering why you would close the search down when so close to finishing (as it will be in 22 days time) ?
I'm not saying you should or even asking if you could extend the deadline, just why you wouldn't. |
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robishVolunteer moderator
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I can't speak for stream, but 14Mega is prepped and ready to go, so the same fun all over again, ;)
Then 13mega is almost ready for after that, then 12mega. and I think that's the lowest we can go because of software restrictions. So lots more in the pipeline for the record smallest mega prime search.
Should keep us busy for a while yet π
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My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26 |
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streamVolunteer moderator
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Unless there is an upsurge in work being done the 22% that remains to be done at the moment won't be completed in time, we are doing less than 1% a day.
Just wondering why you would close the search down when so close to finishing (as it will be in 22 days time) ?
I'm not saying you should or even asking if you could extend the deadline, just why you wouldn't.
The goal of project was to find first GFN-15 MEGA. We already found two primes. The rest was only for peoples who wanted to find third prime for themselves or reach own WuProp or credit goals. I promised that project will be run at least for 4 month for these purposes, so it was. Now it's time to move to other GFNs.
Note that project will be not shut down immediately. Only loading of new work will be stopped in the end of October. The actual shutdown will happen only when all remaining tasks will be competed. So if we can push leading edge above bmin+900000 before deadline, I have to load another batch of work up to bmin+1000000 and all prepared candidates will be tested before shutdown. If not, project will be shut down at bmin+900000.
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streamVolunteer moderator
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As was promised in first post, project has reached it's lifetime of 4 months.
Yesterday I had to load new set of candidates up to bmin+1000000. It will be last set of candidates, no new work will be loaded anymore. Project will be shut down after processing of these candidates.
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BurVolunteer tester
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Then 13mega is almost ready for after that, then 12mega. If I calculated correctly, GFN13mega would require a base with 123 digits and GFN12mega a 245 digits base. Even in exponential form those primes will be hard to write down.
I'll make sure to join that effort. If only to create an annoyingly long signature for the PG forum. ;)
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1281979 * 2^485014 + 1 is prime ... no further hits up to: n = 5,700,000 |
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streamVolunteer moderator
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All candidates up to bmin+1000000 were converted to workunits. No new work will be generated anymore.
There are few hundreds tasks in in-memory queue but they're expected to be sent soon. After that, only resent (timed out or aborted) tasks will be eventually available. You can monitor almost live server status at http://boincvm.proxyma.ru:30080/test4vm/server_status.php (Tasks by Application -> Unsent).
If you're running only this specific project, please consider adding backup projects or you'll run out of work soon enough. |
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streamVolunteer moderator
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All tasks has been returned and validated. No additional primes were found.
The GFN-15 project is closed. Get ready for GFN-14 MEGA :)
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robishVolunteer moderator
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All tasks has been returned and validated. No additional primes were found.
The GFN-15 project is closed. Get ready for GFN-14 MEGA :)
Ready and waiting ππππ
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My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26 |
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All tasks has been returned and validated. No additional primes were found.
The GFN-15 project is closed. Get ready for GFN-14 MEGA :)
Ready and waiting ππππ
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Proud member of Team Aggie the Pew
"Wir mΓΌssen wissen. Wir werden wissen."
"We must know, we shall know."
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VatoVolunteer tester
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Excellent.
I suggest a new thread is appropriate
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will this be on preferences page and genefer 3.3.5 so we can do it easily on CPU no hassle ? |
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will this be on preferences page and genefer 3.3.5 so we can do it easily on CPU no hassle ?
Like the other MEGA searches on the private GFN server, this will have to be done as an LLR or LLR2 project. It's way, way, WAY beyond the b limit for Genefer. And being an LLR(2) project, it will be a CPU-only project, just 14-mega and 15-mega.
Also, to be clear, this is NOT a PrimeGrid project. It will be on the PRIVATE GFN server.
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My lucky number is 75898524288+1 |
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okey doke cheers for the explanation |
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