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Message boards : Storm message board : Gfn 1 to 12

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Profile robishProject donor
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Joined: 7 Jan 12
Posts: 2033
ID: 126266
Credit: 6,105,725,986
RAC: 2,918,350
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 PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (47,724,223)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (17,550,099)PPS LLR Emerald: Earned 50,000,000 credits (81,505,636)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Turquoise: Earned 5,000,000 credits (9,986,029)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,056)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) 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 (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (109,270,161)GFN Double Ruby: Earned 2,000,000,000 credits (4,775,500,905)WW Emerald: Earned 50,000,000 credits (96,568,000)
Message 138136 - Posted: 21 Feb 2020 | 23:00:12 UTC

Ok. Where to start :)

Your a team admin so you can see my email address if you want to send me dropbox or gdrive links to the files.

I've done some sieveing before but I think if I follow your instructions to the letter it would be best to get a proper DC.

However you mentioned the sieve discarding proper candidates. Would it not be prudent not to sieve this range at all and see the results? If they're only a few seconds each, whats the rush? ;)



____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138139 - Posted: 21 Feb 2020 | 23:37:24 UTC - in response to Message 138136.

"Where to start" is right; that was kinda my thought when I started this too, lol!

The proper candidates that are discarded for GFN1-4 are only those which are less than the sieve depth, so only the first ~12,124 b values for GFN 1 (sqrt(147,000,000)), ~110 for GFN 2 (sqrt(sqrt(147,000,000))), ~10 for GFN 3 (sqrt(sqrt(sqrt(147,000,000)))) and 2 for GFN4 (sqrt(sqrt(sqrt(sqrt(147,000,000,000))))). GFN 5 and up seem to be unaffected, although just to be safe I did add in the candidates for GFN5 that were below the sieve depth (although the first prime is 48 digits for GFN5, so the sieve did not remove that one.

I had the same thought about a sieveless search for GFN 1-4 because of this, but even if you are testing 10 per second, that is still 100 million seconds, or about 3 years of CPU time without sieving. The sieve to ~147M took this down to about 1/4 that value, which saves about 2.25 years of CPU time, so I went with the sieved search and double-checked that I found the same number of primes as Yves did on his page as part of my validation process.

Ultimately doing a sieveless search probably wouldn't hurt if you have the CPU power and patience for it. I can write a batch script to generate the sieveless LLR Input files for you if you would like. Actually, I think it is a pretty simple script. Just throw this into a batch file and it should work :)

echo ABC $a^^$b+1 > GFN1_2-100M.txt for /L %%n in (2,2,99999998) do echo %%n 2 >> GFN1_2-100M.txt


That will output a file that can feed directly into LLR containing the b-values from 2 to 99,999,998 for GFN1. By changing the range in the loop you can generate files of different sizes or over different ranges (eg. change the first number in the brackets to 100000000 and the last number to 199999998 to get the next 100M of b-values). Make sure to change the file name at the end of each line so that they are the same and reflect what you are generating a sieveless file for. Changing the "2" to 4, 8, 16, 32, etc in the second line after the %%n will let you generate a file for GFN2, GFN3, GFN4, GFN5, etc.

For sieving everything from GFN5 and up I used AthGfnSv (the 32-bit application) until the sieve depth was approximately 120M, then stopped it (as it runs into trouble at 147M with anything less than GFN13 and stops) then moved onto AthGfn64 B306 to advance the sieve to the final sieve depth.

I have compressed all of the candidates files with the highest compression that 7-Zip offers and will start to upload them to Google Drive. My internet is terrible and it will take ages though, so I will start with uploading whichever one you want to test first. Which GFN did you want to start with?

Also; do you know who would be best suited for validating the sieve files? I know Jim validates the PrimeGrid GFN sieves, but he is probably insanely busy with PrimeGrid stuff, so I don't really want to bug him for help with it. Out of all of the stuff I've done for this, the sieving is my point of lowest confidence, although so far everything has matched with Yves' findings, so it can't be all that far off, but I'd still like to get someone else to make sure I'm not way off base XD

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138140 - Posted: 21 Feb 2020 | 23:52:01 UTC - in response to Message 138139.

Also; do you know who would be best suited for validating the sieve files?


Is this something that Stream can do? Is Stream actually Roman Trunov? If so, then he can certainly validate the sieves as he was the programmer who made the OpenCL port of the manual sieving software used for GFN15-23 here on PrimeGrid.

I will try to confirm this and send him a message about it if that is the case.

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138143 - Posted: 22 Feb 2020 | 1:02:06 UTC

I've made a list of the tasks that normally get done that I either haven't done (because I either don't have the tools or don't have the knowledge or both) and the things that need to get done in the future that fall into the same category.

1. Candidate files validation
I have some factors files and iterative sieve files (to successive sieve depths) for each of the GFN searches. These should be verified to ensure that;
a) All indicated factors are actually factors of the number that they say they are.
b) Only numbers with valid factors were removed from the candidates files.

2. Test results validation
The results files from LLR are all saved, and they will be saved from any double-check as well. These require;
a) Checking to ensure that every candidate was actually tested.
b) Comparison of residues to ensure that no errors occurred.
c) Generation of test file for any missing candidates or mismatched residues for follow-up testing on a 3rd computer.
d) Verification of follow-up testing.
e) Generation of final list of prime b-values.

I can take care of everything leading up to step 1, and you and I (or anyone else who wants to be involved) can take care of everything between 1 and 2. I can also technically take care of step 2.e), however the other indicated tasks are outside of my capabilities.

If you think of anything that I have missed please feel free to comment. There is a good chance I'll be putting out a call for help on this, cause now I'm revved to get these things on OIES. I've recorded which computers tested which ranges, so even if I have to DC it myself I can XD

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138163 - Posted: 22 Feb 2020 | 12:56:08 UTC

After Stream pointed out exactly the issues with the candidate file generation in my previous post here I figured I would ask him for some help, but also give him an out in case he doesn't want to (and I wouldn't blame him; I have about 500GB of factor and candidates files just from GFN1-8 sieving...)

I am hoping that he decides to jump right in and host GFN1-12 on his server after doing and verifying the sieves from scratch, but I think that's probably because I just woke up and I am still dreaming, lol!

Profile robishProject donor
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Joined: 7 Jan 12
Posts: 2033
ID: 126266
Credit: 6,105,725,986
RAC: 2,918,350
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 PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (47,724,223)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (17,550,099)PPS LLR Emerald: Earned 50,000,000 credits (81,505,636)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Turquoise: Earned 5,000,000 credits (9,986,029)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,056)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) 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 (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (109,270,161)GFN Double Ruby: Earned 2,000,000,000 credits (4,775,500,905)WW Emerald: Earned 50,000,000 credits (96,568,000)
Message 138167 - Posted: 22 Feb 2020 | 16:27:34 UTC - in response to Message 138163.

After Stream pointed out exactly the issues with the candidate file generation in my previous post here I figured I would ask him for some help, but also give him an out in case he doesn't want to (and I wouldn't blame him; I have about 500GB of factor and candidates files just from GFN1-8 sieving...)

I am hoping that he decides to jump right in and host GFN1-12 on his server after doing and verifying the sieves from scratch, but I think that's probably because I just woke up and I am still dreaming, lol!

That would be cool!!
I secretly suspect he intended to do just that anyway, after 13 and 14 were finished :) you've just prompted him to get around to it sooner :)
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

Kellen
Send message
Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138168 - Posted: 22 Feb 2020 | 16:34:17 UTC - in response to Message 138167.

After Stream pointed out exactly the issues with the candidate file generation in my previous post here I figured I would ask him for some help, but also give him an out in case he doesn't want to (and I wouldn't blame him; I have about 500GB of factor and candidates files just from GFN1-8 sieving...)

I am hoping that he decides to jump right in and host GFN1-12 on his server after doing and verifying the sieves from scratch, but I think that's probably because I just woke up and I am still dreaming, lol!

That would be cool!!
I secretly suspect he intended to do just that anyway, after 13 and 14 were finished :) you've just prompted him to get around to it sooner :)


Now that this has taken a turn from just a fun and short side project ("short side project"... I don't think I've ever underestimated the effort required to do something quite so badly by the way XD) into me being hell-bent on generating these lists I'm really hoping Stream's next post is this:

"Comprehensive Search for GFN1 through GFN12 Primes up to b=2,000,000,000 Starting on Private GFN Server Soon!"

*fingers crossed*

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138169 - Posted: 22 Feb 2020 | 16:40:03 UTC - in response to Message 138168.

I was concerned about what this would do to the server with that many tasks, but I think if it is possible to cram 100-1000 tasks into a single test file, then running this on BOINC may be viable.

Kindof like with AP27 where each test is actually over a range of about 120 k values, if this is possible with the low GFNs then this virtually eliminates the issue that Stream's server was having with GFN-13 when 500,000 tasks per day were coming in. GFN1 would have only 250,000 tasks total if 1000 candidates were tested per task. Each task would still only take a minute or two to run even with that many candidates.

I know you're on Discord, so if Stream starts talking about doing something like this, let him know that Kellen is fully on board ;)

Profile Spear
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Joined: 29 Mar 09
Posts: 119
ID: 37675
Credit: 1,313,060,878
RAC: 68,792
Discovered 1 mega primeFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,773,428)Cullen LLR Turquoise: Earned 5,000,000 credits (5,285,191)ESP LLR Turquoise: Earned 5,000,000 credits (6,190,352)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,457,436)PPS LLR Sapphire: Earned 20,000,000 credits (25,439,333)PSP LLR Turquoise: Earned 5,000,000 credits (7,197,873)SoB LLR Turquoise: Earned 5,000,000 credits (5,742,481)SR5 LLR Turquoise: Earned 5,000,000 credits (5,032,238)SGS LLR Turquoise: Earned 5,000,000 credits (6,056,458)TRP LLR Turquoise: Earned 5,000,000 credits (5,488,161)Woodall LLR Turquoise: Earned 5,000,000 credits (5,054,445)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,055,947)Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (11,033,554)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,014,617)PPS Sieve Double Gold: Earned 500,000,000 credits (793,955,024)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,194,722)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,107,364)AP 26/27 Jade: Earned 10,000,000 credits (13,313,599)GFN Double Silver: Earned 200,000,000 credits (281,381,755)WW Double Bronze: Earned 100,000,000 credits (110,284,000)
Message 138170 - Posted: 22 Feb 2020 | 16:42:22 UTC

I'd be happy to help with this too. We could achieve some insane throughput on these.

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138171 - Posted: 22 Feb 2020 | 17:13:25 UTC - in response to Message 138170.

I'd be happy to help with this too. We could achieve some insane throughput on these.


Awesome, thanks!! What did you have in mind for helping out? I can provide a link to download all of the candidate files for GFN1-8, and Rob is working on GFN7 DC right now, so everything else is open. I can also provide factor files or anything else you want to help move this forward.

Just for the sake of full disclosure, I should reiterate that, as it stands, we don't have a method for comparing residues (although this is being thought about at the very least and a solution is possibly in the works), and we do not have fully-validated candidates files, so the scientific rigor of this search is not up to par with the searches that are performed on PrimeGrid and the Private GFN Server. I should also note that there haven't been any missed primes over the ~200,000,000 b-value range Yves tested previously, so they can't be too far off the mark :)

P.S. On the off chance that you were thinking of helping out by validating the sieves that would also be amazing XD

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Credit: 1,313,060,878
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Discovered 1 mega primeFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,773,428)Cullen LLR Turquoise: Earned 5,000,000 credits (5,285,191)ESP LLR Turquoise: Earned 5,000,000 credits (6,190,352)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,457,436)PPS LLR Sapphire: Earned 20,000,000 credits (25,439,333)PSP LLR Turquoise: Earned 5,000,000 credits (7,197,873)SoB LLR Turquoise: Earned 5,000,000 credits (5,742,481)SR5 LLR Turquoise: Earned 5,000,000 credits (5,032,238)SGS LLR Turquoise: Earned 5,000,000 credits (6,056,458)TRP LLR Turquoise: Earned 5,000,000 credits (5,488,161)Woodall LLR Turquoise: Earned 5,000,000 credits (5,054,445)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,055,947)Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (11,033,554)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,014,617)PPS Sieve Double Gold: Earned 500,000,000 credits (793,955,024)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,194,722)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,107,364)AP 26/27 Jade: Earned 10,000,000 credits (13,313,599)GFN Double Silver: Earned 200,000,000 credits (281,381,755)WW Double Bronze: Earned 100,000,000 credits (110,284,000)
Message 138173 - Posted: 22 Feb 2020 | 17:45:02 UTC - in response to Message 138171.

I'd be happy to help with this too. We could achieve some insane throughput on these.


Awesome, thanks!! What did you have in mind for helping out? I can provide a link to download all of the candidate files for GFN1-8, and Rob is working on GFN7 DC right now, so everything else is open. I can also provide factor files or anything else you want to help move this forward.

Just for the sake of full disclosure, I should reiterate that, as it stands, we don't have a method for comparing residues (although this is being thought about at the very least and a solution is possibly in the works), and we do not have fully-validated candidates files, so the scientific rigor of this search is not up to par with the searches that are performed on PrimeGrid and the Private GFN Server. I should also note that there haven't been any missed primes over the ~200,000,000 b-value range Yves tested previously, so they can't be too far off the mark :)

P.S. On the off chance that you were thinking of helping out by validating the sieves that would also be amazing XD


My maths ability wasn't great before, and has atrophied over the years, so I'd need some pretty specific instructions in how to process any of these files in a useful way.

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138174 - Posted: 22 Feb 2020 | 18:30:22 UTC - in response to Message 138173.
Last modified: 22 Feb 2020 | 18:31:01 UTC

I'd need some pretty specific instructions in how to process any of these files in a useful way.


No worries! It is actually a bit simpler than it sounds.

The testing was all performed with LLR, so you will need to grab that from here: http://jpenne.free.fr/ and unzip the folder. It doesn't need a formal installation and will run from whatever folder you decompress it into.

The Candidate files are decompressed using 7-zip, available here: https://www.7-zip.org/. After decompressing the files using 7-zip highlight everything in each folder except for the checksum file, right click on it and select the CRC-SHA SHA-256 option (this is installed when you install 7-zip, but may require a restart of the computer to activate properly). Make sure that whatever window pops up matches with the contents of the checksum text file.

Once you have everything decompressed, take one of the Candidates text files and put it in the LLR folder, then start LLR. From the Test menu select Input, then put the input and output paths in, make sure it is set to start on line 1 and you are good to start the test.

As an example, if you wanted to test GFN4 from 1700-1800M and your LLR was installed to C:/LLR/ then you would put C:/LLR/GFN4_1700M-1800M_Candidates.txt in the input, and select a different name for the output. I have been replacing "Candidates" with "Out", so I would put C:/LLR/GFN4_1700M-1800M_Out.txt in that box.

Then sit back for a few days while it tests everything in the candidates file. At the end there will be a file called lresults.txt in the LLR folder. Rename it something like "GFN4 1700-1800M Results.txt". That is the critical output file as it contains all of the residues and statements of primality for all of the tested candidates. At this point you can go through the file and record each b-value that is prime into another file, or you can compress it with 7-zip and send it to me (even compressed it will be ~250MB, so it will have to be Google Drive or similar) and I can do it.

The most important thing to remember through all of this is to have fun and enjoy watching numbers process so fast you can't actually see what's going on XD

If you have any questions, just let me know!

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138175 - Posted: 22 Feb 2020 | 18:35:14 UTC - in response to Message 138174.

Then sit back for a few days while it tests everything in the candidates file.


I should also mention that the "few days" is valid for GFN1-7. Each candidates file takes about 1.5-2 days for those as the testing speed is governed only by the disk access latency. GFN8 will take 10-12 for a candidate file as it is finally big enough to put some strain on the CPU :)

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138177 - Posted: 22 Feb 2020 | 19:50:31 UTC

You will see my most recent post where I realized that the GFN1 sieve is almost unnecessary. Depending on what Stream/Jim come back with I may just generate a sieveless file to test. To that end I will suspend my GFN1 testing as soon as the current files which are being tested are done. This will fully eliminate any need for sieve validation for GFN1 and leaves only the question of results validation. It roughly doubles the amount of testing required, but the testing can be done on any old hunk of junk you have laying around (as long as it is stable) if you put an SSD into it. These numbers are insanely small XD

I realized this while out for a walk a few km from home and rushed back like a madman. Time to kick back with an iced tea and see if I can think of any more easy rules for candidate removal ;)

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138184 - Posted: 22 Feb 2020 | 22:00:54 UTC

Yves' post has melted my brains.

I made some changes to the program so that it outputs the results to a file and tests a smaller range, but it just generated the first ~100,000 GFN1 primes in about 90 seconds, and I validated them against previous work. No errors, and waaaaaaaaaaaaaaaaaaaaaaaaaaay faster than LLR.

For now, unless you are really hell-bent on it, I'd recommend not processing the GFN1-4 files. This Pari-gp thing may be able to crank those out in short order. I will test the higher GFNs this evening to see how the processing speed is :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 PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (47,724,223)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (17,550,099)PPS LLR Emerald: Earned 50,000,000 credits (81,505,636)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Turquoise: Earned 5,000,000 credits (9,986,029)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,056)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) 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 (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (109,270,161)GFN Double Ruby: Earned 2,000,000,000 credits (4,775,500,905)WW Emerald: Earned 50,000,000 credits (96,568,000)
Message 138185 - Posted: 22 Feb 2020 | 22:01:38 UTC - in response to Message 138177.

You will see my most recent post where I realized that the GFN1 sieve is almost unnecessary. Depending on what Stream/Jim come back with I may just generate a sieveless file to test. To that end I will suspend my GFN1 testing as soon as the current files which are being tested are done. This will fully eliminate any need for sieve validation for GFN1 and leaves only the question of results validation. It roughly doubles the amount of testing required, but the testing can be done on any old hunk of junk you have laying around (as long as it is stable) if you put an SSD into it. These numbers are insanely small XD

I realized this while out for a walk a few km from home and rushed back like a madman. Time to kick back with an iced tea and see if I can think of any more easy rules for candidate removal ;)


I think I can say without a shadow of a doubt, our Kellen is on fire AND kickin gfn's butt 🤣 :D
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138186 - Posted: 22 Feb 2020 | 22:26:24 UTC - in response to Message 138185.

You will see my most recent post where I realized that the GFN1 sieve is almost unnecessary. Depending on what Stream/Jim come back with I may just generate a sieveless file to test. To that end I will suspend my GFN1 testing as soon as the current files which are being tested are done. This will fully eliminate any need for sieve validation for GFN1 and leaves only the question of results validation. It roughly doubles the amount of testing required, but the testing can be done on any old hunk of junk you have laying around (as long as it is stable) if you put an SSD into it. These numbers are insanely small XD

I realized this while out for a walk a few km from home and rushed back like a madman. Time to kick back with an iced tea and see if I can think of any more easy rules for candidate removal ;)


I think I can say without a shadow of a doubt, our Kellen is on fire AND kickin gfn's butt 🤣 :D


Lol! Thanks Rob! I'm gonna have to say that the GFN butt-kicking is almost entirely Yves at this point.

That program trivializes GFN1-4, and even 7 is running almost as fast without a sieve with his program as it did with a sieve and LLR. Crazy. Totally crazy. I am generating a bunch of ranges that were already tested and will compare them.

If Yves program validates then my suggestion will be that we run it 3 times, on 3 different computers, with at least 2 people involved (eg. 2 separate runs on 2 separate computers of mine, plus a run on 1 of your computers, or 1 run on 1 computer owned by me, you and Spear, or something similar). I don't know if that meets the validation requirements for proof, but I can't see how all 3 of us would end up with the exact same errors.

As an alternative, 1 of us could run everything on LLR (I volunteer. I'm over half done anyway XD) and Pari-gp and another person runs it just on Pari-gp or LLR.

I am open to any suggestions for validation methodology though. In the end I would love to cram these comprehensive lists onto OEIS :)

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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 PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (47,724,223)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (17,550,099)PPS LLR Emerald: Earned 50,000,000 credits (81,505,636)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Turquoise: Earned 5,000,000 credits (9,986,029)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,056)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) 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 (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (109,270,161)GFN Double Ruby: Earned 2,000,000,000 credits (4,775,500,905)WW Emerald: Earned 50,000,000 credits (96,568,000)
Message 138187 - Posted: 22 Feb 2020 | 22:57:40 UTC - in response to Message 138186.

You will see my most recent post where I realized that the GFN1 sieve is almost unnecessary. Depending on what Stream/Jim come back with I may just generate a sieveless file to test. To that end I will suspend my GFN1 testing as soon as the current files which are being tested are done. This will fully eliminate any need for sieve validation for GFN1 and leaves only the question of results validation. It roughly doubles the amount of testing required, but the testing can be done on any old hunk of junk you have laying around (as long as it is stable) if you put an SSD into it. These numbers are insanely small XD

I realized this while out for a walk a few km from home and rushed back like a madman. Time to kick back with an iced tea and see if I can think of any more easy rules for candidate removal ;)


I think I can say without a shadow of a doubt, our Kellen is on fire AND kickin gfn's butt 🤣 :D


Lol! Thanks Rob! I'm gonna have to say that the GFN butt-kicking is almost entirely Yves at this point.

That program trivializes GFN1-4, and even 7 is running almost as fast without a sieve with his program as it did with a sieve and LLR. Crazy. Totally crazy. I am generating a bunch of ranges that were already tested and will compare them.

If Yves program validates then my suggestion will be that we run it 3 times, on 3 different computers, with at least 2 people involved (eg. 2 separate runs on 2 separate computers of mine, plus a run on 1 of your computers, or 1 run on 1 computer owned by me, you and Spear, or something similar). I don't know if that meets the validation requirements for proof, but I can't see how all 3 of us would end up with the exact same errors.

As an alternative, 1 of us could run everything on LLR (I volunteer. I'm over half done anyway XD) and Pari-gp and another person runs it just on Pari-gp or LLR.

I am open to any suggestions for validation methodology though. In the end I would love to cram these comprehensive lists onto OEIS :)


I'm with you, whatever you decide. 👍
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138205 - Posted: 23 Feb 2020 | 0:53:41 UTC

Whew! That went pretty well! Approximately 5.5 million b values tested with about 50,000 primes found and no disagreement between the LLR testing and Yves' Pari-gp program!

Gonna take a look at how it holds up with GFN8 and 9. I get the feeling that those two will be the longest parts of the whole thing, but this gives us an easy way to validate results without getting into any fancy scripting or anything.

Will report back once I've finished testing it. Until then; if you want to mess around with Pari-gp I recommend it! Give Yves' program a go and see what you think :)

I changed the code slightly so that it outputs a file;

cnt = 0; forstep (b = 2, 2000000000, 2, p = b^2+1; c = Mod(2, p)^(p-1); if (c == 1, if (isprime(p), cnt++; write("GFN1 Primes Pari-gp.txt", b))););


If only I knew about this a week ago, lol!

Enjoy!

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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 PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (47,724,223)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (17,550,099)PPS LLR Emerald: Earned 50,000,000 credits (81,505,636)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Turquoise: Earned 5,000,000 credits (9,986,029)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,056)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) 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 (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (109,270,161)GFN Double Ruby: Earned 2,000,000,000 credits (4,775,500,905)WW Emerald: Earned 50,000,000 credits (96,568,000)
Message 138214 - Posted: 23 Feb 2020 | 8:46:50 UTC

https://www.geeksforgeeks.org/diff-command-linux-examples/

Ahh I had forgotten this command. Looks like no need to script anything ;)
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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 PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (47,724,223)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (17,550,099)PPS LLR Emerald: Earned 50,000,000 credits (81,505,636)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Turquoise: Earned 5,000,000 credits (9,986,029)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,056)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) 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 (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (109,270,161)GFN Double Ruby: Earned 2,000,000,000 credits (4,775,500,905)WW Emerald: Earned 50,000,000 credits (96,568,000)
Message 138222 - Posted: 23 Feb 2020 | 12:06:47 UTC

So it would be

diff a.txt b.txt > c.txt (which gathers the differences into new file c.txt)


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Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138223 - Posted: 23 Feb 2020 | 12:28:52 UTC - in response to Message 138214.
Last modified: 23 Feb 2020 | 12:33:11 UTC

https://www.geeksforgeeks.org/diff-command-linux-examples/

Ahh I had forgotten this command. Looks like no need to script anything ;)


Nice! That should make it pretty easy then I think! There is still a small problem that the lines for each test don't always match up because sometimes a test requires multiple lines, and that the lines contain a random-ish variable. Here is some example output containing both possible problem scenarios;

1000108772^32+1 is not prime. RES64: 9EBD5C9A5049CBD9. OLD64: DC3815CEF0DD6387 Time : 22.998 ms. 1000108774^32+1 is not prime. RES64: 0E3EF6DD7D036D13. OLD64: 2ABCE498770A4736 Time : 21.450 ms. 1000108776^32+1 may be prime, but N divides 3^((N-1)/19))-1, restarting with a=5 Time : 26.699 ms. 1000108776^32+1 is prime! (289 decimal digits) Time : 21.040 ms. 1000108778^32+1 is not prime. RES64: 8E54F059C5F41E3A. OLD64: AAFED10D51DC5AAB Time : 20.701 ms. 1000108780^32+1 is not prime. RES64: EF27CE999A332DBF. OLD64: CD776BCCCE998939 Time : 22.949 ms.


There is another possible (although rare) scenario which outputs 2 (and very rarely, more than 2) lines which do not contain the b value being tested. As a demonstration of it's rarity, it was not in the file of 500,000 tests that I just opened, but I did find an example in another file.

53490610^16+1 is not prime. RES64: BDFB08DE3CF11962. OLD64: 22FB1FD24B524C22 Time : 11.923 ms. 53490612^16+1 is not prime. RES64: 6630858668184E11. OLD64: 12D286523848EA2F Time : 8.413 ms. 5^((N-1)/19)-1 is coprime to N! Time : 7.908 ms. 53490624^16+1 is prime! (124 decimal digits) Time : 10.289 ms. 53490638^16+1 is not prime. RES64: 15EC2CEF079E4D04. OLD64: 22ACA59877D8E707 Time : 9.641 ms. 53490640^16+1 is not prime. RES64: 17F0AEDC05ECEC0D. OLD64: 47D20C9411C6C424 Time : 12.786 ms.


Those lines were part of my nightmare in figuring out how to compare residues. I was able to get rid of the random-ish variable of the test time from each line, and I also pulled the OLD64 values out so that we were left with a file of b values to their exponent n + 1 and the RES64 values, but the other lines I just ended up removing manually, which is a lot of effort for the 2.5 billion total tests XD

If you have any scripting methods for quickly removing the test time, duplicate lines (only the last line should remain for any given b value) and the lines which do not contain a b value then that command you linked would work like a charm!! OLD64 values also have to be removed because if LLR defaults to a Proth test rather than Pocklington it does not output the OLD64 residue.

Example:
98680830^16+1 is not prime. RES64: FE4614DE271C562F. OLD64: 885ADCB675530288 Time : 8.304 ms. 1*98680832^16+1 is not prime. Proth RES64: 0235C49541D7D34D Time : 6.904 ms. 98680842^16+1 is not prime. RES64: F36A040AB7769145. OLD64: DA3E0C202663B3CC Time : 10.261 ms.


Oh! And also! (This list of examples may never end, lol!) Sometimes the b value is prefaced with a "1*" like in the example above. This should only happen when a Proth test is run, but I haven't verified that.

And sometimes the b value and exponent are changed to something else in the output. These have to be found and manually changed back. Example:
65522^16+1 is not prime. RES64: 8FF658F17586D8A4. OLD64: 69E88786E31389E8 Time : 7.345 ms. 1*2^256+1 is not prime. Proth RES64: 6507E50AC84D66B4 Time : 3.847 ms. 65546^16+1 is not prime. RES64: FB3E04FB21DA44F9. OLD64: F1BA0EF1658ECEE8 Time : 12.251 ms.


2^256+1 = 65536^16+1 in this case, but if it was a different GFN than 4 it would be different (256^32+1 in the case of GFN5, etc) Edit: Bad morning math. 65536^16+1 = 256^17+1 :) Edit: Nope. Totally fine morning math 65536^16+1 = 256^32+1, lol!

Some of these may not be an issue (ie. if the "1*" appears in every test for a specific b value no matter what, and if the default to a Proth test is the same between computers, and if the change to a different exponent is the same), but I have not verified whether these issues are uniform across architectures and command sets. I have only been running the LLR testing on Intel CPUs with AVX and AVX2 capabilities, but it is possible that running with FMA or SSE would result in some differences for which b values are affected by these things.

Well. That is enough of a pre-breakfast ramble. If I think of anything else that's given me trouble I will post back here in a bit :)

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Message 138226 - Posted: 23 Feb 2020 | 12:53:46 UTC
Last modified: 23 Feb 2020 | 13:15:56 UTC

I wonder would it be easiest to simply strip out all lines that contain "is prime!" into a new file? Then use the diff command?

so file "a.txt" strip all "is prime!" into file "a1.txt"
& file "b.txt" strip all "is prime!" into file "b1.txt"
then diff a1.txt b1.txt > c.txt

Would this work Kellen?

What is it you trying to achieve? To see if primes are missed?
Or is it you want to compare residues to identify if a miscalculation has occurred? Or both?
____________
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Kellen
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Joined: 10 Jan 18
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Credit: 1,449,832,462
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Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138227 - Posted: 23 Feb 2020 | 13:32:03 UTC - in response to Message 138226.

I wonder would it be easiest to simply strip out all lines that contain "is prime!" into a new file? Then use the diff command?

so file "a.txt" strip all "is prime!" into file "a1.txt"
& file "b.txt" strip all "is prime!" into file "b1.txt"
then diff a1.txt b1.txt > c.txt

Would this work Kellen?

What is it you trying to achieve? To see if primes are missed?
Or is it you want to compare residues to identify if a miscalculation has occurred? Or both?


Both :D

But! Doing what you suggest will identify that an error has occurred somewhere, and then we can narrow it down from there. This is how I have been validating the results so far but it is the residue check that I can't do that I was most interested in for overall results validation. To check the residues you will also have to remove the test time from each line, as it will be different between the files even when the results are valid, unless there is a command that will look for "RES64:" in a line and only compare the character string immediately to the right of it between the two files.

To get the b-value lists that I posted and the prime b counts I did exactly what you mention and looked for the term "is prime", copied those lines out into another file, removed the "1*" wherever present, removed all of the text after the "+1", replaced the "^64+1" (or whatever exponent I was testing) with nothing and was left with only b values. After that I did a comparison with other tests (where available or where I generated a test validation file) to make sure that the outputs were identical. Doing that with the residues is possible, but it would be extremely time consuming with my skillset, lol.

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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 PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (47,724,223)ESP LLR Turquoise: Earned 5,000,000 credits (8,577,288)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (17,550,099)PPS LLR Emerald: Earned 50,000,000 credits (81,505,636)PSP LLR Turquoise: Earned 5,000,000 credits (9,600,575)SoB LLR Sapphire: Earned 20,000,000 credits (36,846,875)SR5 LLR Turquoise: Earned 5,000,000 credits (9,986,029)SGS LLR Turquoise: Earned 5,000,000 credits (5,661,056)TRP LLR Sapphire: Earned 20,000,000 credits (28,958,280)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve (suspended) 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 (842,736,516)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Double Bronze: Earned 100,000,000 credits (109,270,161)GFN Double Ruby: Earned 2,000,000,000 credits (4,775,500,905)WW Emerald: Earned 50,000,000 credits (96,568,000)
Message 138228 - Posted: 23 Feb 2020 | 14:08:02 UTC - in response to Message 138227.

I wonder would it be easiest to simply strip out all lines that contain "is prime!" into a new file? Then use the diff command?

so file "a.txt" strip all "is prime!" into file "a1.txt"
& file "b.txt" strip all "is prime!" into file "b1.txt"
then diff a1.txt b1.txt > c.txt

Would this work Kellen?

What is it you trying to achieve? To see if primes are missed?
Or is it you want to compare residues to identify if a miscalculation has occurred? Or both?


Both :D

But! Doing what you suggest will identify that an error has occurred somewhere, and then we can narrow it down from there. This is how I have been validating the results so far but it is the residue check that I can't do that I was most interested in for overall results validation. To check the residues you will also have to remove the test time from each line, as it will be different between the files even when the results are valid, unless there is a command that will look for "RES64:" in a line and only compare the character string immediately to the right of it between the two files.

To get the b-value lists that I posted and the prime b counts I did exactly what you mention and looked for the term "is prime", copied those lines out into another file, removed the "1*" wherever present, removed all of the text after the "+1", replaced the "^64+1" (or whatever exponent I was testing) with nothing and was left with only b values. After that I did a comparison with other tests (where available or where I generated a test validation file) to make sure that the outputs were identical. Doing that with the residues is possible, but it would be extremely time consuming with my skillset, lol.


Manipulating text files is relatively easy, ie stripping out time stamps etc.
Ok ill write a script tomorrow and if the output is not what you expect, we can edit it a few times to get exactly what you need.

Was that residue file in the files i downloaded? If not could you send it to me , or even a subset just so i can test the script against it.

Cheers
____________
My lucky numbers 10590941048576+1 and 224584605939537911+81292139*23#*n for n=0..26

Kellen
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Joined: 10 Jan 18
Posts: 480
ID: 967938
Credit: 1,449,832,462
RAC: 268,507
Discovered 2 mega primes321 LLR Jade: Earned 10,000,000 credits (11,533,574)Cullen LLR Jade: Earned 10,000,000 credits (12,050,863)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,812,259)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Turquoise: Earned 5,000,000 credits (8,031,857)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Turquoise: Earned 5,000,000 credits (8,002,395)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (42,292,566)AP 26/27 Sapphire: Earned 20,000,000 credits (40,001,442)GFN Double Bronze: Earned 100,000,000 credits (120,031,390)WW Sapphire: Earned 20,000,000 credits (40,024,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 138230 - Posted: 23 Feb 2020 | 14:20:08 UTC - in response to Message 138228.

Manipulating text files is relatively easy, ie stripping out time stamps etc.
Ok ill write a script tomorrow and if the output is not what you expect, we can edit it a few times to get exactly what you need.

Was that residue file in the files i downloaded? If not could you send it to me , or even a subset just so i can test the script against it.


Nice, thanks!! The residues were not send, but I will get a subset to you shortly. The results files are massive. GFN4 will have about 22GB of them and even GFN7, which has the smallest number of candidates to test by quite a large margin, has 11GB of them. It took quite a while to go through them all and pull out the primes XD

I will compress a range for you to play around with and PM you the download link as soon as it is uploaded. I will compress GFN7 tested from 900-1000M, in case you want to test that (or a portion of that) yourself with LLR so that you have my results file and your results file to experiment with for residue comparison. If not, then you will at least have mine and can make a copy, change a residue value by 1 character here and there and validate your script that way :)

Thanks again!!

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