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streamVolunteer moderator
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Current project status
2020-12-05: Project started
2020-12-17: First GFN14-MEGA Prime found
2021-03-05: Expected date of project shutdown.
Project description
GFN-14 MEGA Prime Search is a next project in GFN-MEGA series. In these projects, we're trying to find MEGA prime for each GFN exponent, until software limits allows. MEGA Primes for GFN-17 and above were found or being searched on PrimeGrid. MEGA Primes for GFN-16 and GFN-15 were found in these series. Now it's a time for GFN-14 MEGA.
The project is exactly the same as previous GFN-15 project, so for detailed description and instructions please read top post in GFN-15 MEGA thread: https://www.primegrid.com/forum_thread.php?id=9198 . Everything is the same except:
- This is a GFN-14, so we're looking for MEGA Prime in form b16384+1
- Search will be started from bmin = 10841645805132531666786792405311319418846637043199917731144080
- Project name (for app_config.xml) is gfn14_mega
The search will be started (work will be loaded) December 05, 2020, at 09:00 UTC. Duration of the project will follow same rules as GFN-15 MEGA - one month after prime will be found. Minimal duration will be 3 months (even if prime will be found faster).
For new users, please note once again that this is not a PrimeGrid project. It's running on separate server. Instructions to join are in the post mentioned above.
Good luck and happy crunching!
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Looking forward to it! Thanks Stream for all your amazing effort :D |
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 robish Volunteer moderator
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Looking forward to it! Thanks Stream for all your amazing effort :D
+1 :)
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26 |
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streamVolunteer moderator
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A misconfiguration of LLR2 parameters (they were tweaked in special way for more efficient processing of GFN tests) caused invalid tasks to be sent until (estimated) 15:00 UTC. These tasks cannot complete, they will fail during final "checkpoint compression" phase with error message "proof.xxx is missing or corrupt".
In most cases affected tasks should be aborted automatically when one of tasks completes and your computer connects to the server. If you don't wish to wait and you still have tasks sent before 2020-12-05 15:00 UTC (check "Sent" field in your list of tasks on the server), it's recommended to abort these tasks manually because they just will consume CPU time and fail.
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Hello!
So far running this new GFN_14 Mega units has resulted in 9 finished wu's on 4 different pc's has given me bad results/uploads.
All have errors like this:
Stderr output
<core_client_version>7.16.11</core_client_version>
<![CDATA[
<stderr_txt>
BOINC PrimeGrid wrapper 2.02 (Nov 23 2020 23:35:38)
running ../../projects/boincvm.proxyma.ru_30080_test4vm/llr2_win64_201114.exe -v
LLR2 Program - Version 1.1.0, using Gwnum Library Version 29.8
running ../../projects/boincvm.proxyma.ru_30080_test4vm/llr2_win64_201114.exe -oGerbicz=1 -oProofName=proof -oProofCount=64 -oProductName=prod -oPietrzak=1 -oCachePoints=1 -pSavePoints -q10841645805132531666786792405311319418846637043199917731151338^16384+1 -oPointsPerL2=8 -oGerbiczL=16 -oGerbiczL2=2048 -oSlidingWindow=7 -d -t4 -oDiskWriteTime=4
Gerbicz check is requested, switching to PRP.
Starting probable prime test of 10841645805132531666786792405311319418846637043199917731151338^16384+1
Using generic reduction AVX FFT length 336K, Pass1=448, Pass2=768, clm=2, 4 threads, a = 3, L2 = 16*128, M = 255
proof.8 is missing or corrupt.
14:45:02 (7212): called boinc_finish(0)
</stderr_txt>
<message>
upload failure: <file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_4</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_5</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_6</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_7</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_8</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_9</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_10</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
<file_xfer_error>
<file_name>llr2_843909_qkuzkj_336660752_r1036350543_11</file_name>
<error_code>-240 (stat() failed)</error_code>
</file_xfer_error>
</message>
]]>
I've put my computers to no new work until problem is solvedðŸ˜
With regards,
Hans Sveen
Oslo
PSS
My writing was too slow, problem is already explained !!
Sorry !!!
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streamVolunteer moderator
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Update: you can just press "Update" button in Boinc client to force connection to server, and all affected tasks will be aborted.
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Yves GallotVolunteer developer
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Here is a bit of probabilities.
The expected number of GF primes in [bmin; bmin + d] (where bmin >> d) is Cn · d / (2n log bmin).
The mean gap between two primes is (#primes = 1) Δb = log bmin · 2n / Cn.
With mega-numbers log bmin · 2n = log 10999999 = 2302582.79.
For GFN-14, we have C14 = 8.009684535 then Δb = 287475.
The range was sieved to pmax = 36·1018. The sieve removed 80% candidates.
If Δcand is the number of candidates for one prime, we have Δcand = (Δb / 2) · 20% = 28747.
Note that we could have used the estimate Δcand = e-γ log N / log pmax = 0.5614594836 x 2302582.79 / 45.03 = 28710.
The likelihood of success is L = 1 - e-λ where λ = #cand / Δcand.
L = 25%, #cand = 8264,
L = 50%, #cand = 19912,
L = 75%, #cand = 39824,
L = 97%, #cand = 100733. |
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robishVolunteer moderator
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Here is a bit of probabilities.
The expected number of GF primes in [bmin; bmin + d] (where bmin >> d) is Cn · d / (2n log bmin).
The mean gap between two primes is (#primes = 1) Δb = log bmin · 2n / Cn.
With mega-numbers log bmin · 2n = log 10999999 = 2302582.79.
For GFN-14, we have C14 = 8.009684535 then Δb = 287475.
The range was sieved to pmax = 36·1018. The sieve removed 80% candidates.
If Δcand is the number of candidates for one prime, we have Δcand = (Δb / 2) · 20% = 28747.
Note that we could have used the estimate Δcand = e-γ log N / log pmax = 0.5614594836 x 2302582.79 / 45.03 = 28710.
The likelihood of success is L = 1 - e-λ where λ = #cand / Δcand.
L = 25%, #cand = 8264,
L = 50%, #cand = 19912,
L = 75%, #cand = 39824,
L = 97%, #cand = 100733.
Thanks Yves
Nice to know :)
Cheers
Rob.
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26 |
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Yves GallotVolunteer developer
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1000 tasks/day, 4000 validated
Likelihood of success before Great Conjunction Challenge is
1 - exp(-(4000 + 11000) / 28747) = 40% !!! |
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It's really interesting to see how both 'normal' and 'mega' GFN14 are being tested at the same time...
____________
SHSID Electronics Group
SHSIDElectronicsGroup@outlook.com
GFN-14: 50103906^16384+1
Proth "SoB": 44243*2^440969+1
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streamVolunteer moderator
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A quick success!
On 17 Dec 2020, 12:38:09 UTC, PDW found a prime 10841645805132531666786792405311319418846637043199917731150000^16384+1 (at bmin+5920). Congratulations!
As you can see, bmin is very small. If workunit wasn't timed out and aborted twice before PDW grabbed it, the prime could be found on the first day of the search.
Main goal of project is reached, first GFN-14 MEGA Prime found. Project will be active and new work will be loaded for 3 months since day of the start, until 05 March 2021.
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Congratulations! Nice one.
Not sure if I find it relevant to continue until March when the prime has already been found.
/JeppeSN |
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PDWSend message
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A quick success!
On 17 Dec 2020, 12:38:09 UTC, PDW found a prime 10841645805132531666786792405311319418846637043199917731150000^16384+1 (at bmin+5920). Congratulations!
As you can see, bmin is very small. If workunit wasn't timed out and aborted twice before PDW grabbed it, the prime could be found on the first day of the search.
Main goal of project is reached, first GFN-14 MEGA Prime found. Project will be active and new work will be loaded for 3 months since day of the start, until 05 March 2021.
Thank you :)
3rd time lucky, 1st and 2nd would be kicking themselves if they knew who they were.
That's also my 2021 goals met a year early :D |
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robishVolunteer moderator
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Congrats PDW! Well done :)
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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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Thank you, there's still that obligatory second one left to find, just waiting for stream to post that it is unlikely to happen first ! |
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streamVolunteer moderator
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Not sure if I find it relevant to continue until March when the prime has already been found.
It's for WUProp hours. Although finding an exotic prime (even not a first one) can be a good goal itself too.
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Congratulations PDW! |
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A quick success!
On 17 Dec 2020, 12:38:09 UTC, PDW found a prime 10841645805132531666786792405311319418846637043199917731150000^16384+1 (at bmin+5920). Congratulations!
As you can see, bmin is very small. If workunit wasn't timed out and aborted twice before PDW grabbed it, the prime could be found on the first day of the search.
Main goal of project is reached, first GFN-14 MEGA Prime found. Project will be active and new work will be loaded for 3 months since day of the start, until 05 March 2021.
Thank you :)
3rd time lucky, 1st and 2nd would be kicking themselves if they knew who they were.
That's also my 2021 goals met a year early :D
I tried to go back and check, but I don't think it was me. I only see one WU in Error state for me, from Dec 5. It was finally completed by Robish, and it was very close to this prime:
10841645805132531666786792405311319418846637043199917731151866^16384+1
____________
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"Wir müssen wissen. Wir werden wissen."
"We must know, we shall know."
- David Hilbert, 1930 |
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streamVolunteer moderator
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Thank you, there's still that obligatory second one left to find, just waiting for stream to post that it is unlikely to happen first !
Today, all candidates below bmin+5920 were returned as composites, so a prime found by PDW is an official first/lowest GFN-14 Mega Prime!
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streamVolunteer moderator
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New prime at bmin+167796!
https://primes.utm.edu/primes/page.php?id=131496
Congratulations Pavel!
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