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Message boards : Generalized Fermat Prime Search : GFN-14 MEGA Prime Search starts December 05, 2020

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stream
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Joined: 1 Mar 14
Posts: 834
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Credit: 488,466,944
RAC: 2,246
Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (11,055,307)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,215)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (53,545,357)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146067 - Posted: 3 Dec 2020 | 19:14:13 UTC
Last modified: 18 Dec 2020 | 8:16:48 UTC

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!

FrankProject donor
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Joined: 30 Dec 17
Posts: 20
ID: 964965
Credit: 204,777,100
RAC: 4,468
Discovered 2 mega primesFound 2 primes in the 2020 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,018,828)Cullen LLR Ruby: Earned 2,000,000 credits (2,029,968)ESP LLR Ruby: Earned 2,000,000 credits (2,024,292)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,340,774)PPS LLR Turquoise: Earned 5,000,000 credits (6,480,541)PSP LLR Amethyst: Earned 1,000,000 credits (1,840,280)SoB LLR Amethyst: Earned 1,000,000 credits (1,302,398)SR5 LLR Ruby: Earned 2,000,000 credits (2,148,677)SGS LLR Amethyst: Earned 1,000,000 credits (1,988,493)TRP LLR Ruby: Earned 2,000,000 credits (4,107,300)Woodall LLR Amethyst: Earned 1,000,000 credits (1,356,538)321 Sieve Ruby: Earned 2,000,000 credits (4,125,872)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,260,299)PPS Sieve Emerald: Earned 50,000,000 credits (67,632,373)AP 26/27 Turquoise: Earned 5,000,000 credits (5,025,449)GFN Sapphire: Earned 20,000,000 credits (29,055,189)PSA Emerald: Earned 50,000,000 credits (62,919,830)
Message 146126 - Posted: 4 Dec 2020 | 21:00:23 UTC

Looking forward to it! Thanks Stream for all your amazing effort :D

Profile robishProject donor
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Joined: 7 Jan 12
Posts: 1774
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Discovered the World's First AP27!!!Discovered 9 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (38,463,074)ESP LLR Turquoise: Earned 5,000,000 credits (6,404,450)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,386,197)PPS LLR Emerald: Earned 50,000,000 credits (53,649,559)PSP LLR Turquoise: Earned 5,000,000 credits (7,863,505)SoB LLR Sapphire: Earned 20,000,000 credits (36,772,233)SR5 LLR Turquoise: Earned 5,000,000 credits (8,519,461)SGS LLR Turquoise: Earned 5,000,000 credits (5,250,624)TRP LLR Sapphire: Earned 20,000,000 credits (28,497,135)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (841,182,485)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Emerald: Earned 50,000,000 credits (89,993,137)GFN Double Ruby: Earned 2,000,000,000 credits (3,900,702,813)
Message 146131 - Posted: 4 Dec 2020 | 22:57:58 UTC - in response to Message 146126.

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

stream
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Joined: 1 Mar 14
Posts: 834
ID: 301928
Credit: 488,466,944
RAC: 2,246
Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (11,055,307)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,215)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (53,545,357)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146164 - Posted: 5 Dec 2020 | 17:04:24 UTC

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.

Hans Sveen
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Joined: 18 Aug 05
Posts: 26
ID: 423
Credit: 994,344,890
RAC: 13,739
Discovered 1 mega prime321 LLR Turquoise: Earned 5,000,000 credits (6,250,373)Cullen LLR Jade: Earned 10,000,000 credits (10,964,998)ESP LLR Jade: Earned 10,000,000 credits (10,182,658)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,096,138)PPS LLR Jade: Earned 10,000,000 credits (13,943,149)PSP LLR Jade: Earned 10,000,000 credits (10,021,964)SoB LLR Jade: Earned 10,000,000 credits (11,128,809)SR5 LLR Turquoise: Earned 5,000,000 credits (7,038,972)SGS LLR Amethyst: Earned 1,000,000 credits (1,587,335)TRP LLR Jade: Earned 10,000,000 credits (10,035,385)Woodall LLR Turquoise: Earned 5,000,000 credits (5,909,070)321 Sieve Turquoise: Earned 5,000,000 credits (5,012,526)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,323,773)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,758)PPS Sieve Emerald: Earned 50,000,000 credits (77,871,919)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,081,558)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,180,919)AP 26/27 Sapphire: Earned 20,000,000 credits (37,039,239)GFN Double Gold: Earned 500,000,000 credits (757,292,518)
Message 146165 - Posted: 5 Dec 2020 | 17:07:22 UTC
Last modified: 5 Dec 2020 | 17:14:03 UTC

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 solved😏

With regards,
Hans Sveen
Oslo


PSS
My writing was too slow, problem is already explained !!
Sorry !!!
____________
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stream
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Joined: 1 Mar 14
Posts: 834
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RAC: 2,246
Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (11,055,307)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,215)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (53,545,357)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146166 - Posted: 5 Dec 2020 | 17:17:20 UTC

Update: you can just press "Update" button in Boinc client to force connection to server, and all affected tasks will be aborted.

Yves Gallot
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Joined: 19 Aug 12
Posts: 644
ID: 164101
Credit: 305,010,093
RAC: 78
GFN Double Silver: Earned 200,000,000 credits (305,010,093)
Message 146254 - Posted: 7 Dec 2020 | 12:32:42 UTC

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.

Profile robishProject donor
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Joined: 7 Jan 12
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Discovered the World's First AP27!!!Discovered 9 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (38,463,074)ESP LLR Turquoise: Earned 5,000,000 credits (6,404,450)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,386,197)PPS LLR Emerald: Earned 50,000,000 credits (53,649,559)PSP LLR Turquoise: Earned 5,000,000 credits (7,863,505)SoB LLR Sapphire: Earned 20,000,000 credits (36,772,233)SR5 LLR Turquoise: Earned 5,000,000 credits (8,519,461)SGS LLR Turquoise: Earned 5,000,000 credits (5,250,624)TRP LLR Sapphire: Earned 20,000,000 credits (28,497,135)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (841,182,485)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Emerald: Earned 50,000,000 credits (89,993,137)GFN Double Ruby: Earned 2,000,000,000 credits (3,900,702,813)
Message 146459 - Posted: 9 Dec 2020 | 22:47:35 UTC - in response to Message 146254.

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

Yves Gallot
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Joined: 19 Aug 12
Posts: 644
ID: 164101
Credit: 305,010,093
RAC: 78
GFN Double Silver: Earned 200,000,000 credits (305,010,093)
Message 146478 - Posted: 10 Dec 2020 | 11:13:18 UTC
Last modified: 10 Dec 2020 | 11:13:44 UTC

1000 tasks/day, 4000 validated
Likelihood of success before Great Conjunction Challenge is
1 - exp(-(4000 + 11000) / 28747) = 40% !!!

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Joined: 3 Feb 19
Posts: 791
ID: 1097922
Credit: 3,783,734
RAC: 799
321 LLR Silver: Earned 100,000 credits (100,228)Cullen LLR Bronze: Earned 10,000 credits (36,962)ESP LLR Bronze: Earned 10,000 credits (36,309)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (22,645)PPS LLR Silver: Earned 100,000 credits (219,290)PSP LLR Silver: Earned 100,000 credits (100,559)SoB LLR Silver: Earned 100,000 credits (138,888)SR5 LLR Bronze: Earned 10,000 credits (64,280)SGS LLR Bronze: Earned 10,000 credits (35,164)TRP LLR Bronze: Earned 10,000 credits (67,784)Woodall LLR Bronze: Earned 10,000 credits (40,976)321 Sieve Gold: Earned 500,000 credits (506,814)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (30,033)PPS Sieve Gold: Earned 500,000 credits (825,895)AP 26/27 Silver: Earned 100,000 credits (141,505)GFN Gold: Earned 500,000 credits (859,368)PSA Silver: Earned 100,000 credits (373,034)
Message 146485 - Posted: 10 Dec 2020 | 14:39:05 UTC

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


stream
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Joined: 1 Mar 14
Posts: 834
ID: 301928
Credit: 488,466,944
RAC: 2,246
Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (11,055,307)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,215)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (53,545,357)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146777 - Posted: 18 Dec 2020 | 8:14:55 UTC

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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Credit: 21,623,822
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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Turquoise: Earned 5,000,000 credits (9,594,179)PSP LLR Silver: Earned 100,000 credits (212,242)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (105,212)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Amethyst: Earned 1,000,000 credits (1,674,106)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 146778 - Posted: 18 Dec 2020 | 9:00:24 UTC - in response to Message 146777.

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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Credit: 1,583,824,290
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321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Ruby: Earned 2,000,000 credits (3,921,623)SoB LLR Ruby: Earned 2,000,000 credits (4,566,941)SR5 LLR Silver: Earned 100,000 credits (100,048)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Ruby: Earned 2,000,000 credits (2,548,351)321 Sieve Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,294,632,550)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)PSA Ruby: Earned 2,000,000 credits (3,942,843)
Message 146779 - Posted: 18 Dec 2020 | 9:04:05 UTC - in response to Message 146777.

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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Discovered the World's First AP27!!!Discovered 9 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (38,463,074)ESP LLR Turquoise: Earned 5,000,000 credits (6,404,450)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,386,197)PPS LLR Emerald: Earned 50,000,000 credits (53,649,559)PSP LLR Turquoise: Earned 5,000,000 credits (7,863,505)SoB LLR Sapphire: Earned 20,000,000 credits (36,772,233)SR5 LLR Turquoise: Earned 5,000,000 credits (8,519,461)SGS LLR Turquoise: Earned 5,000,000 credits (5,250,624)TRP LLR Sapphire: Earned 20,000,000 credits (28,497,135)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (841,182,485)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Emerald: Earned 50,000,000 credits (89,993,137)GFN Double Ruby: Earned 2,000,000,000 credits (3,900,702,813)
Message 146790 - Posted: 18 Dec 2020 | 11:08:14 UTC

Congrats PDW! Well done :)
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

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Credit: 1,583,824,290
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321 LLR Amethyst: Earned 1,000,000 credits (1,004,410)Cullen LLR Amethyst: Earned 1,000,000 credits (1,004,515)ESP LLR Amethyst: Earned 1,000,000 credits (1,001,003)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (100,191)PPS LLR Bronze: Earned 10,000 credits (10,036)PSP LLR Ruby: Earned 2,000,000 credits (3,921,623)SoB LLR Ruby: Earned 2,000,000 credits (4,566,941)SR5 LLR Silver: Earned 100,000 credits (100,048)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,074)TRP LLR Amethyst: Earned 1,000,000 credits (1,005,903)Woodall LLR Ruby: Earned 2,000,000 credits (2,548,351)321 Sieve Jade: Earned 10,000,000 credits (10,002,724)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,059)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,294,632,550)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (10,212)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,004,748)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,678,786)GFN Double Bronze: Earned 100,000,000 credits (100,056,275)PSA Ruby: Earned 2,000,000 credits (3,942,843)
Message 146793 - Posted: 18 Dec 2020 | 11:44:03 UTC - in response to Message 146790.

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 !

stream
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (11,055,307)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,215)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (53,545,357)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146795 - Posted: 18 Dec 2020 | 12:37:04 UTC - in response to Message 146778.

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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Credit: 204,777,100
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Discovered 2 mega primesFound 2 primes in the 2020 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,018,828)Cullen LLR Ruby: Earned 2,000,000 credits (2,029,968)ESP LLR Ruby: Earned 2,000,000 credits (2,024,292)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,340,774)PPS LLR Turquoise: Earned 5,000,000 credits (6,480,541)PSP LLR Amethyst: Earned 1,000,000 credits (1,840,280)SoB LLR Amethyst: Earned 1,000,000 credits (1,302,398)SR5 LLR Ruby: Earned 2,000,000 credits (2,148,677)SGS LLR Amethyst: Earned 1,000,000 credits (1,988,493)TRP LLR Ruby: Earned 2,000,000 credits (4,107,300)Woodall LLR Amethyst: Earned 1,000,000 credits (1,356,538)321 Sieve Ruby: Earned 2,000,000 credits (4,125,872)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,260,299)PPS Sieve Emerald: Earned 50,000,000 credits (67,632,373)AP 26/27 Turquoise: Earned 5,000,000 credits (5,025,449)GFN Sapphire: Earned 20,000,000 credits (29,055,189)PSA Emerald: Earned 50,000,000 credits (62,919,830)
Message 146833 - Posted: 19 Dec 2020 | 13:03:26 UTC

Congratulations PDW!

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Discovered 2 mega primesFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain StageFound 4 primes in the 2019 Tour de PrimesFound 2 primes in the 2019 Tour de Primes Mountain Stage2020 Tour de Primes most Mountain Stage primesFound 3 primes in the 2020 Tour de PrimesFound 2 primes in the 2020 Tour de Primes Mountain Stage321 LLR Turquoise: Earned 5,000,000 credits (5,173,611)Cullen LLR Ruby: Earned 2,000,000 credits (2,542,805)ESP LLR Turquoise: Earned 5,000,000 credits (9,593,615)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,621,320)PPS LLR Emerald: Earned 50,000,000 credits (70,346,330)PSP LLR Sapphire: Earned 20,000,000 credits (20,850,520)SoB LLR Jade: Earned 10,000,000 credits (15,031,779)SR5 LLR Sapphire: Earned 20,000,000 credits (26,092,973)SGS LLR Jade: Earned 10,000,000 credits (14,891,127)TRP LLR Jade: Earned 10,000,000 credits (10,001,551)Woodall LLR Ruby: Earned 2,000,000 credits (2,369,390)321 Sieve Ruby: Earned 2,000,000 credits (2,421,223)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,165,870)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,012,635)PPS Sieve Double Silver: Earned 200,000,000 credits (473,599,984)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Gold: Earned 500,000 credits (727,064)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,187,678)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,614,098)GFN Double Silver: Earned 200,000,000 credits (241,749,972)PSA Emerald: Earned 50,000,000 credits (52,497,368)
Message 146845 - Posted: 19 Dec 2020 | 18:11:57 UTC - in response to Message 146779.

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
____________

Proud member of Team Aggie the Pew

"Wir müssen wissen. Wir werden wissen."
"We must know, we shall know."
- David Hilbert, 1930

stream
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (11,055,307)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,215)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (53,545,357)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146956 - Posted: 22 Dec 2020 | 20:48:14 UTC - in response to Message 146793.

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!

stream
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (11,055,307)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,215)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (53,545,357)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 146977 - Posted: 23 Dec 2020 | 9:49:16 UTC

New prime at bmin+167796!

https://primes.utm.edu/primes/page.php?id=131496

Congratulations Pavel!

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Message boards : Generalized Fermat Prime Search : GFN-14 MEGA Prime Search starts December 05, 2020

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