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Message boards : Generalized Fermat Prime Search : My little play with generalized fermat primes

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mackerelProject donor
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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 89529 - Posted: 3 Nov 2015 | 21:57:38 UTC

I debated where to post this, but chose here since this isn't really relating to an official primegrid activity. Still, relating to the GFN project it was asked why lower n weren't considered. Simply primes are rather small for interest. But on the plus side, this makes them relatively fast to test.

http://yves.gallot.pagesperso-orange.fr/primes/results.html
Looking at Yves' pages I decided to have a go at n=14 since it was listed as single tested, and I thought I could double check it. This would check me as much as what was already done.

So, first step, sieve the test range. Linked from Yves' pages was AthGFNSv by David Underbakke. I immediately fell for a noob error. I set the b range as 1 to 2.7M and set it going. Nothing was happening, in that p was going up, but no candidates were getting removed. Long story short, it turns b in this case is only useful for even numbers. Starting at 2, it was finally working as expected. This was done on my home system which was 64 bit, so I was running the 64 bit version.

Later on, I got to the offline system and downloaded the 32 bit version and got it going. Immediately I noticed something was different. The remaining candidate count was much lower than before. After playing about with different versions I fired off an e-mail to David, who said something about previous known rounding errors at high b and that he'd look at the source later. That didn't mean a lot to me so I thought I'd best leave him to it.

Making the assumption the configuration with fewer candidates is still ok to go with, I left it running... and running... and after some days decided that was enough and it was time to start testing. Time to go multi-core. I didn't have a good way to do it, so manually split the test file of candidates into 4 roughly equal parts, slightly more in the lower value file.

Testing was done by genefer. I note this was only PRP testing, not a full primality test. Quickly enough I was getting some hits to test. But what with? I downloaded both Proth and PFGW. I couldn't figure out how to test single values easily with Proth, but managed to do it with PFGW using -t -c -q"b^N+1" taken straight out of the readme file. I don't understand the meaning of the test settings, but that's what it says. One candidate not on the known list was eliminated as composite, with others matching those on the list showing as prime. I have all the pieces in place!

This is when I started working out how long it would take. Oh dear. It would be many weeks. Time for a rethink. What about n=13? A quick test on that suggested it would be much faster.

Ok, started another sieve going. I actually forgot about it for many days and when I went back to look, I was well past optimal sieve at a rate of one elimination per minute, compared to ~10s per PRP.

I thought I'd be more aggressive here, splitting it into 8 for running on two quad core computers. Initial estimates put it at around 3 days runtime although I did see slowdown running 4 instances compared to 1. These were HT capable machines, and counter-intuitively, running with affinity actually slowed it down, unlike LLR testing elsewhere. As I ran one machine with and without, the one with didn't finish as quickly.

Still, when that was finished I put it through PFGW and had a list of n=13 proven primes. Comparing it to the list on Yves' site, I didn't miss any of the known ones, and it looks like I found a handful not previously known.

424584^8192+1
425848^8192+1
426338^8192+1
595686^8192+1
809562^8192+1
1417130^8192+1

Before anyone gets too excited, these primes are tiddlers, in the ball park of 50000 digits long. Not sure if they have a use for anything other than filling in the gaps.

And with that, I'm done on n=13. I'm still running n=14 but that could take a very long time in comparison.

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321 LLR Ruby: Earned 2,000,000 credits (2,054,472)Cullen LLR Ruby: Earned 2,000,000 credits (2,500,846)ESP LLR Ruby: Earned 2,000,000 credits (3,823,612)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,157,923)PPS LLR Ruby: Earned 2,000,000 credits (2,100,471)PSP LLR Turquoise: Earned 5,000,000 credits (5,013,650)SoB LLR Sapphire: Earned 20,000,000 credits (24,147,640)SR5 LLR Jade: Earned 10,000,000 credits (10,153,648)SGS LLR Ruby: Earned 2,000,000 credits (2,000,775)TRP LLR Ruby: Earned 2,000,000 credits (2,105,945)Woodall LLR Ruby: Earned 2,000,000 credits (2,445,894)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,002,919)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (10,106,760)PPS Sieve Emerald: Earned 50,000,000 credits (50,809,179)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,341,676)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,804)AP 26/27 Jade: Earned 10,000,000 credits (10,592,660)GFN Sapphire: Earned 20,000,000 credits (28,396,751)PSA Double Gold: Earned 500,000,000 credits (500,042,445)
Message 89536 - Posted: 3 Nov 2015 | 23:50:53 UTC

David Underbakke's 64-bit AthGFNSv has problems at small p ranges. To be safe, sieve everything where p<1P with the 32-bit program. I informed David about this at least two years ago, but nothing ever changed.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 89537 - Posted: 4 Nov 2015 | 0:09:26 UTC - in response to Message 89536.

More by chance that is what I ended up doing anyway. 32-bit with wide mode selected was the configuration that gave fewest candidates quickly. If wide mode is not selected, or if 64-bit was used, the candidate count was much higher. It is obvious even when running for seconds so must be very low p. My fear was I don't know if I was doing something stupid in all that.

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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 89583 - Posted: 5 Nov 2015 | 23:24:32 UTC

This is quite interesting! I am currently trying to generate a good summary of the status of each n - which ranges have been searched, using what software, double-checked or not, and what primes are known. In this case it looks like n=13 was never double-checked, so there may well be more primes waiting to be found here!

- Iain
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3073428256125*2^1290000-1 is Prime!

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 89586 - Posted: 6 Nov 2015 | 0:17:41 UTC - in response to Message 89583.

Just to summarise what I tested and with what:
Tested was n=13, for b up to 2.6M
Sieve by AthGFNSv build 213 (32-bit)
PRP by genefer
Primality test: PFGW

If exact software versions are required I'll have to look it up tomorrow.

Primes found in this search included all those listed on Yves' site, plus the 6 listed earlier. I tried putting them into google and coming up empty. I believe I'm the first double check for that range, unless someone else already did it and I didn't manage to find it posted anywhere. So if I haven't missed anything thus requiring an independent triple check, that range is now covered. There may be more primes above that range but they're still relatively small.

I'm using same process for n=14, for b up to 2.7M. I'm doing this as a low priority (single old quad core) and I'm not sure if it will complete this year.

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Message 89592 - Posted: 6 Nov 2015 | 9:56:13 UTC - in response to Message 89586.
Last modified: 6 Nov 2015 | 9:57:55 UTC

Thanks mackerel, I will update my (wrong) prime list.

All (old) primes are recorded in the Largest Known Primes! database http://primes.utm.edu/primes/search.php.
(they were in the top 5000 at that time).

"8192", "generalized fermat" and "Type = all verified primes" =>

47441 2584802^8192+1 52531 g162 2001 Generalized Fermat 47444 2579772^8192+1 52524 g162 2001 Generalized Fermat [...] 51949 71852^8192+1 39784 g78 1999 Generalized Fermat 52801 30406^8192+1 36725 g0 1999 Generalized Fermat


The search was done in 1999-2001 with Proth.exe (the first versions of GF algorithm were included in). It was not double-checked.

196 primes were expected in [2; 2.6M] and 190 found... and now 190 + 6 = 196 !

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 90202 - Posted: 4 Dec 2015 | 14:13:16 UTC

I have now completed the testing on n=14 for b <= 2.7M. I can confirm I rediscovered all the primes listed on Yves' page, and found no new primes.

Later on I will compile the testing results and make them available in case that will be of some use for someone.

Iain BethuneProject donor
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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 91135 - Posted: 12 Jan 2016 | 11:41:27 UTC - in response to Message 90202.

I have now completed the testing on n=14 for b <= 2.7M. I can confirm I rediscovered all the primes listed on Yves' page, and found no new primes.

Later on I will compile the testing results and make them available in case that will be of some use for someone.


I added a summary of what is known about n=14 to the status page: http://www.primegrid.com/gfn_history.php#n14 - I think it would be very interesting to continue double-checking up to the b= 4.56M at least. Beyond that point seems to be mainly cherry-picking…

Did you go any further with your double-check?

- Iain
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3073428256125*2^1290000-1 is Prime!

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Joined: 2 Oct 08
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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 91160 - Posted: 12 Jan 2016 | 22:45:34 UTC - in response to Message 91135.

I only sieved the range listed in Yves' pages so I can't test higher without sieveing again. You're giving me ideas now... the machines I used for that are idle once again...

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 91826 - Posted: 2 Feb 2016 | 21:22:31 UTC - in response to Message 90202.

Later on I will compile the testing results and make them available in case that will be of some use for someone.


GFN13 0-2.6M
https://drive.google.com/file/d/0B8GpiULT5O5fWlI2T3kwdHdWVk0/view?usp=sharing

GFN14 0-2.7M
https://drive.google.com/file/d/0B8GpiULT5O5fS01UMWR4aVpFZEE/view?usp=sharing

Above links are zipped text files containing the genefer output I obtained including residues, in case anyone wants to check the range again, they have something to compare against.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92042 - Posted: 11 Feb 2016 | 18:23:37 UTC
Last modified: 11 Feb 2016 | 18:57:02 UTC

Using the offline systems, I'm running a little side project which will last about another month or so. I'm debating what to do after that. Am I crazy enough to fully run n=13 up to 101M?

Why n=13? Because they are relatively small so relatively fast to run, but not too small.
Why b up to 101M? This is open to more consideration. I've already tested to 2.6M. If I look at what's done already, there's possibly continuous testing up to 10M or so. Between 10M and around 100M, there are notable gaps. If I'm going to do it, I might as well fill in those gaps and double check the covered ranges. By picking 101M, I'll cover all that. There is some previous testing above 1.6T and even 100T but that is definitely going too far for me to test continuously to.

How bad is it? I'm doing a test sieve at the moment to size up this task. After some hours on a laptop I'm down to around 14M candidates remaining, removing in the ball park of thousands of candidates per minute so still a long way to optimal. Taking 14M candidates for now, if I throw 8 cores at it, I estimate this will take 4 years. Ok, that's a bit longer than I think I'll be motivated for. This is on the assumption most of the work will be on the slow x87 transform. The fast transforms run out about 3.7M. If I limit the range of the testing to only below 10M, that makes a more tangible 3 months or so task.

One thing I haven't checked yet, is does OCL family work on n=13? If so, based on n=15 I could still run OCL3 to perhaps 16M+. That's next to check on the to do list...

Edit: 17s on 980Ti at 30M. b limit 33.5M. So testing that far wont be too painful.

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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 92045 - Posted: 11 Feb 2016 | 22:04:42 UTC - in response to Message 92042.
Last modified: 11 Feb 2016 | 22:05:42 UTC

Using the offline systems, I'm running a little side project which will last about another month or so. I'm debating what to do after that. Am I crazy enough to fully run n=13 up to 101M?

Why n=13? Because they are relatively small so relatively fast to run, but not too small.
Why b up to 101M? This is open to more consideration. I've already tested to 2.6M. If I look at what's done already, there's possibly continuous testing up to 10M or so. Between 10M and around 100M, there are notable gaps. If I'm going to do it, I might as well fill in those gaps and double check the covered ranges. By picking 101M, I'll cover all that. There is some previous testing above 1.6T and even 100T but that is definitely going too far for me to test continuously to.

How bad is it? I'm doing a test sieve at the moment to size up this task. After some hours on a laptop I'm down to around 14M candidates remaining, removing in the ball park of thousands of candidates per minute so still a long way to optimal. Taking 14M candidates for now, if I throw 8 cores at it, I estimate this will take 4 years. Ok, that's a bit longer than I think I'll be motivated for. This is on the assumption most of the work will be on the slow x87 transform. The fast transforms run out about 3.7M. If I limit the range of the testing to only below 10M, that makes a more tangible 3 months or so task.

One thing I haven't checked yet, is does OCL family work on n=13? If so, based on n=15 I could still run OCL3 to perhaps 16M+. That's next to check on the to do list...

Edit: 17s on 980Ti at 30M. b limit 33.5M. So testing that far wont be too painful.

Use OCL4. For starters, its even faster than ocl3 on maxwell cards (up to the bounds of the 2 prime transform) and can go all the way up to 400M. It should work just fine - in fact, it would even be a nice stress test to the app before official release.

Oh, and btw, I intended to help n=13 as well once TDP is over (and I get my LGA 775 Pentium box working). My plan is to sieve with that machine for a while and then use my GTX 970 with OCL4 to do the rest. Hit me up if you'd like some help, or do it fast enough so we dont end up doing the same work twice...

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92046 - Posted: 11 Feb 2016 | 23:02:34 UTC - in response to Message 92045.

I haven't made specific plans on if I will go ahead or not. As said I will not be starting for another month at best, so you could well start ahead of me. The sieve I've done so far is just a matter of hours to get a feel, so it would not be a loss if you wanted to start again now to be ready to PRP after TDP. For sure let's keep in touch so we don't duplicate.

As for OCL4 I have been looking with interest but never tested it, hence I only ran OCL3 which I downloaded previously. On that note, I went to download OCL4 and there is a combined app now.

For n=13, limits appear to be approximately as follows, along with test times on 980 Ti for 3M, 33M, 65M.
OCL: 3.4M 10s
OCL3: 33.5M 13s, 15s
OCL4: 65.6M 10s, 15s, 16s
OCL5: 33.5M 13s, 16s

Similarly genefer 64 for CPU (i7-6700k @ 4.2 GHz) and times for 3M, 33M, 65M, 100M:
FMA: 3.69M, 4s
AVX: 3.76M, 4s
x87: 151M, 43s, 48s, 50s, 54s - these timings estimated

So yes, it looks like OCL4 is fastest for everything 3M to 65M (on my GPU). CPU would be much faster but the limit at 3.7M doesn't go far. So if either of us does this, it seems wise to start GPU above the CPU limit, and use CPU mostly below that.

Actually, it doesn't look so bad for CPU after all. Given you could run 4 at once, the single CPU above throughput would still be faster than my GPU. It just depends on if I want to run my fast CPUs on this :) The offline systems I have elsewhere are much older hence the long estimated time previously.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92052 - Posted: 12 Feb 2016 | 15:32:21 UTC - in response to Message 92046.

Done some more rough estimates on time to test n=13 as above, assuming around 13M candidates evenly distributed through 2.6M to 101M. On a single i7-6700k @ 4.2 GHz would take roughly 21 core-years to test the range, or just over 5 years on 4 cores. I would note however CPU testing the fast low range from 2.6M to 3.7M b limit would only take 2 days, so I might just clear that anyway.

A single 980 Ti running up to the OCL4 b limit at 65M would take 4 years.

I think my conclusion is: if the whole range is going to be covered, I can't do it myself and remain sane. If the ranges are split, only CPUs can do above 65M unless OCL2 is different? I haven't checked that. Either CPU or GPU can do the range below 65M. If only a few people are interested then manual reservation of test ranges would be simple enough. If there is sufficient interest, prpnet could be considered.

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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 92054 - Posted: 12 Feb 2016 | 16:34:58 UTC - in response to Message 92052.

Done some more rough estimates on time to test n=13 as above, assuming around 13M candidates evenly distributed through 2.6M to 101M. On a single i7-6700k @ 4.2 GHz would take roughly 21 core-years to test the range, or just over 5 years on 4 cores. I would note however CPU testing the fast low range from 2.6M to 3.7M b limit would only take 2 days, so I might just clear that anyway.

A single 980 Ti running up to the OCL4 b limit at 65M would take 4 years.

I think my conclusion is: if the whole range is going to be covered, I can't do it myself and remain sane. If the ranges are split, only CPUs can do above 65M unless OCL2 is different? I haven't checked that. Either CPU or GPU can do the range below 65M. If only a few people are interested then manual reservation of test ranges would be simple enough. If there is sufficient interest, prpnet could be considered.

Actually, ocl4 has 2 transforms. The first one, the super fast, has the 65M limit. Once b goes over that, the app automatically uses the second, slower transform, with 400M as the actual limit. The 2nd transform is still around twice aw fast as OCL2, so you'd never even need to change apps.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92055 - Posted: 12 Feb 2016 | 17:06:44 UTC - in response to Message 92054.
Last modified: 12 Feb 2016 | 17:10:02 UTC

What's OCL5 then? I thought it was one of the former OCL4s renamed? The 65M B limit for OCL4 is what I get when I run the built in limit tester. Either way, I think we're some way off from needing to work that bit out!

Oh, I've found another spare offline box and started testing gfn13 2.6M - 3.8M on it, even with the non-optimal sieve it isn't going to take long. As it is slower than my home i7, it will take around 5 days to hit the slow zone but I thought I might as well keep going to 3.8M to keep numbers rounded.

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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 92056 - Posted: 12 Feb 2016 | 18:45:01 UTC - in response to Message 92055.
Last modified: 12 Feb 2016 | 18:48:17 UTC

What's OCL5 then? I thought it was one of the former OCL4s renamed? The 65M B limit for OCL4 is what I get when I run the built in limit tester. Either way, I think we're some way off from needing to work that bit out!

Oh, I've found another spare offline box and started testing gfn13 2.6M - 3.8M on it, even with the non-optimal sieve it isn't going to take long. As it is slower than my home i7, it will take around 5 days to hit the slow zone but I thought I might as well keep going to 3.8M to keep numbers rounded.

"OCL4" is OCL4 Build 1022, and OCL5 is Ocl4 build 955. When vr 1004 was released, the slow transform (ver 978) was made faster and had a higher b limit. Thus, build 978 was abandoned. The fast transform (ver 955), however, was made much faster, but b limit was drastically decreased.

As a result, once you go past current OCL4 (1022) fast transform limit, OCL4 955 ends up being faster than Ocl3 for most GPUs, and thus we decided that it was still worth it to keep build 955 alive.

To avoid further confusion, we decided to rename ocl4 955 to OCL5.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,919,609)Cullen LLR Turquoise: Earned 5,000,000 credits (9,900,172)ESP LLR Turquoise: Earned 5,000,000 credits (9,250,676)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,003,476)PPS LLR Turquoise: Earned 5,000,000 credits (6,331,661)PSP LLR Turquoise: Earned 5,000,000 credits (5,089,560)SoB LLR Turquoise: Earned 5,000,000 credits (5,824,522)SR5 LLR Turquoise: Earned 5,000,000 credits (5,399,087)SGS LLR Turquoise: Earned 5,000,000 credits (5,240,167)TRP LLR Turquoise: Earned 5,000,000 credits (9,911,706)Woodall LLR Turquoise: Earned 5,000,000 credits (5,011,851)Generalized Cullen/Woodall Sieve 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 (50,727,057)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 92064 - Posted: 12 Feb 2016 | 20:32:54 UTC - in response to Message 92046.


OCL: 3.4M 10s
OCL3: 33.5M 13s, 15s
OCL4: 65.6M 10s, 15s, 16s
OCL5: 33.5M 13s, 16s

Similarly genefer 64 for CPU (i7-6700k @ 4.2 GHz) and times for 3M, 33M, 65M, 100M:
FMA: 3.69M, 4s

These number looks strange (CPU vs GPU). Are you used a combined app? Are you sure it didn't benchmarked first to determine best transform? Benchmarking, when happen, will take exactly these 8-10 extra seconds. If it really was a one-time benchmark at start, running a big batch or forcing transform type from command line (if possible) should be much faster then these numbers.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,919,609)Cullen LLR Turquoise: Earned 5,000,000 credits (9,900,172)ESP LLR Turquoise: Earned 5,000,000 credits (9,250,676)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,003,476)PPS LLR Turquoise: Earned 5,000,000 credits (6,331,661)PSP LLR Turquoise: Earned 5,000,000 credits (5,089,560)SoB LLR Turquoise: Earned 5,000,000 credits (5,824,522)SR5 LLR Turquoise: Earned 5,000,000 credits (5,399,087)SGS LLR Turquoise: Earned 5,000,000 credits (5,240,167)TRP LLR Turquoise: Earned 5,000,000 credits (9,911,706)Woodall LLR Turquoise: Earned 5,000,000 credits (5,011,851)Generalized Cullen/Woodall Sieve 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 (50,727,057)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 92067 - Posted: 12 Feb 2016 | 21:55:40 UTC - in response to Message 89536.

David Underbakke's 64-bit AthGFNSv has problems at small p ranges. To be safe, sieve everything where p<1P with the 32-bit program. I informed David about this at least two years ago, but nothing ever changed.

For those who wish to sieve: it's really not so bad. I played with sieving a little and it seems that 64-bit version is bad only at very small initial range of primes, something like p < 10M (at least on GFN-13). But these small primes will remove most of candidates out of sieve. The good news is that it's not required to sieve to 1P with 32-bit program, it's enough to run it for a small time - it can reach 10G (not "M") in few seconds. Run it for for few minutes to be sure; after this, it's ok to continue with 64-bit version.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92068 - Posted: 12 Feb 2016 | 23:31:31 UTC - in response to Message 92064.
Last modified: 12 Feb 2016 | 23:37:53 UTC

These number looks strange (CPU vs GPU). Are you used a combined app? Are you sure it didn't benchmarked first to determine best transform? Benchmarking, when happen, will take exactly these 8-10 extra seconds. If it really was a one-time benchmark at start, running a big batch or forcing transform type from command line (if possible) should be much faster then these numbers.


I downloaded yesterday the latest versions for both OCL and genefer, which were 3.3.0-dev from memory. The OCL app is the combined one, but you can manually select the transform to test with like the cpu app. The times were for manual tests (-q) for the b listed for each transform and I specifically selected each transform to test them.

Side note: I find if the GPU has been idle for a while, it can take a short but noticeable time to ramp clock up. For very short units (tests that take <1s), it could be significant. I don't think it is happening here and the units are long enough for it not to be so significant anyway.

edit: running -q "3000000^8192+1" it picks OCL for me and repeating it I can get it down to 8 seconds (compared to 10 yesterday). Similarly if I run -q "3000000^8192+1" -x ocl4 I get it down to 9 seconds (also 10 yesterday). So small improvement but not going to radically change anything.

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Message 92157 - Posted: 17 Feb 2016 | 13:10:00 UTC

I have now tested the n=13 range 2.6 to 3.7M. I can confirm known primes (listed here) were rediscovered and no new primes were found in that range.

I'm still testing 3.7-3.8M but I've hit the slow transform zone so don't know exactly how long that will take yet.

Results files will be made available once I've finished to 3.8M.

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Message 92160 - Posted: 17 Feb 2016 | 14:39:37 UTC - in response to Message 92157.

I have now tested the n=13 range 2.6 to 3.7M. I can confirm known primes (listed here) were rediscovered and no new primes were found in that range.

I'm still testing 3.7-3.8M but I've hit the slow transform zone so don't know exactly how long that will take yet.

Results files will be made available once I've finished to 3.8M.

Sieving 10~15M still. Trying to figure out the optimal sieve depth.

Which is funny, because per core, my APU PRPs (on the CPU) at around 50% the speed of my LGA 775 pentium, but sieves twice as fast. Even so, slow sieve is removing 70 candidates per hour (currently at 1400P) VS 30 with x87, so I guess I'll check sieve speed again once I get to 2T.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92161 - Posted: 17 Feb 2016 | 15:03:57 UTC
Last modified: 17 Feb 2016 | 15:04:47 UTC



Spot the b-limit for the fast transform! This is a plot of b against task time. Supposed to be 3.74M for AVX (the PC this was run on doesn't support FMA) which isn't reached yet. Already we're seeing some units take much longer than others.

Note the drop in times around 3.69M is due to the way I split the work. I split the source file for 2.6-3.8M into 4 equal files. So only one of those parts will get the high range. When the lower parts finish, which shouldn't slow down, it frees up the CPU allowing what's left to go a bit faster. To balance I should re-split what's remaining.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92344 - Posted: 24 Feb 2016 | 18:25:06 UTC
Last modified: 24 Feb 2016 | 18:49:19 UTC



Similar chart to before, but now crossing the b limit. You can see the unit times increase, but it isn't consistent. I might have to do some kind of average time plot to see if that makes it clearer. This time I've also included the reported max error, since I can.

Same caution applies as before. The system was under different loading at different times so the unit times at any point may not be necessarily comparable to others, but the overall trend should still be valid.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92351 - Posted: 24 Feb 2016 | 23:29:58 UTC - in response to Message 92344.

Forgot to say, I finished testing the range for n=13 of b from 2.6M to 3.8M (as implied by doing the chart earlier!). All known primes were re-found. One new prime was found at the end: 3780970^8192+1

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Message 92374 - Posted: 25 Feb 2016 | 21:47:28 UTC - in response to Message 92351.
Last modified: 25 Feb 2016 | 21:47:45 UTC

Forgot to say, I finished testing the range for n=13 of b from 2.6M to 3.8M (as implied by doing the chart earlier!). All known primes were re-found. One new prime was found at the end: 3780970^8192+1

That's great - I have just updated the n=13 page accordingly.

- Iain
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Message 92375 - Posted: 25 Feb 2016 | 21:59:43 UTC - in response to Message 92374.

Forgot to say, I finished testing the range for n=13 of b from 2.6M to 3.8M (as implied by doing the chart earlier!). All known primes were re-found. One new prime was found at the end: 3780970^8192+1

That's great - I have just updated the n=13 page accordingly.

- Iain

Gotta change that "up to 10M" to "up to 3.8M" on the new part.

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Message 92394 - Posted: 26 Feb 2016 | 9:29:39 UTC - in response to Message 92375.


Gotta change that "up to 10M" to "up to 3.8M" on the new part.


Fixed

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Message 92424 - Posted: 27 Feb 2016 | 12:07:30 UTC

This message http://www.primegrid.com/forum_thread.php?id=6605&nowrap=true#92421
would be best placed in this thread.

If pairs are checked first, OEIS A118539 may be extended...

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Message 92425 - Posted: 27 Feb 2016 | 12:52:49 UTC - in response to Message 92424.

This message http://www.primegrid.com/forum_thread.php?id=6605&nowrap=true#92421
would be best placed in this thread.

If pairs are checked first, OEIS A118539 may be extended...


Do you mean one can make a "pair sieve" to find interesting pairs of b values (of distance 2) and then only run primality tests on these? It may be hard to determine A118539(13), although I think it exists.

/JeppeSN

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Message 92426 - Posted: 27 Feb 2016 | 13:32:54 UTC - in response to Message 92425.

Do you mean one can make a "pair sieve" to find interesting pairs of b values (of distance 2) and then only run primality tests on these? It may be hard to determine A118539(13), although I think it exists.
/JeppeSN

Yes, or at least one can run a normal sieve, and only run primality tests on pairs.
It may be sufficient for n=13, since 6755756 6755760 (4) was already found. d=2 may not be so far...

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Message 92427 - Posted: 27 Feb 2016 | 15:43:49 UTC - in response to Message 92426.

OK, so does anybody have an ordinary sieve result file for GFN8192 (n=13) that goes beyond the "gaps" shown in Iain's status page, for example goes beyond b=20M? If so, we can remove all those b where neither b-2 nor b+2 is present. How many b values does that leave to test with GeneFer? /JeppeSN

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,919,609)Cullen LLR Turquoise: Earned 5,000,000 credits (9,900,172)ESP LLR Turquoise: Earned 5,000,000 credits (9,250,676)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,003,476)PPS LLR Turquoise: Earned 5,000,000 credits (6,331,661)PSP LLR Turquoise: Earned 5,000,000 credits (5,089,560)SoB LLR Turquoise: Earned 5,000,000 credits (5,824,522)SR5 LLR Turquoise: Earned 5,000,000 credits (5,399,087)SGS LLR Turquoise: Earned 5,000,000 credits (5,240,167)TRP LLR Turquoise: Earned 5,000,000 credits (9,911,706)Woodall LLR Turquoise: Earned 5,000,000 credits (5,011,851)Generalized Cullen/Woodall Sieve 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 (50,727,057)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 92430 - Posted: 27 Feb 2016 | 19:36:11 UTC - in response to Message 92427.

OK, so does anybody have an ordinary sieve result file for GFN8192 (n=13) that goes beyond the "gaps" shown in Iain's status page, for example goes beyond b=20M? If so, we can remove all those b where neither b-2 nor b+2 is present. How many b values does that leave to test with GeneFer?

I afraid there are too many such candidates. I did a quick sieve (only one hour) for 2.8M-100M and get 14.5M candidates total where 7.3M are possible pairs. I think mackerel sieved a bit deeper and I made a typo - I should have started from 3.8M, not 2.8M - but anyway it seems that we'll have 4-5M of possible pairs even at best scenario. Of course it's possible to sieve more using only list of pairs (each hit will cancel 2 candidates in average) but I'm not sure if it make any sense to check them separately.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92434 - Posted: 27 Feb 2016 | 21:04:33 UTC - in response to Message 92430.

I previously started a test sieve from 2.6M-101M. Since I've actually tested the range to 3.8M I've removed that. Rafael stated an intention to test 10-15M so at his suggestion I've also removed that too. I don't have easy access to the machine running it at the moment but last time I checked it was below 12M candidates remaining. The sieve is far from optimal with a removal rate of about 1 candidate every 2 seconds on a slow 32-bit machine!

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92467 - Posted: 29 Feb 2016 | 11:24:37 UTC - in response to Message 92434.

I took the n=13 sieve so far. This covers b range 3.8-10M, 15M-101M. Currently sieved to just over 16P, with 11.7M candidates remaining.

I tried to load this into excel which complained it can only cope with 2^20 rows in one go, so I will only be looking at the first 2^20-1 (~1M) remaining candidates. This covers b range 3.8-10M, 15M-17.03M. I found the difference between consecutive remaining candidates and there are 267037 cases where the difference is 2. Or just over a quarter of the candidates are the "+2" part of a pair. Assuming 1 minute per test that'll be 185 CPU days, or under 45 days on a 980 Ti (OCL4).

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,052,219)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,004,898)PPS LLR Ruby: Earned 2,000,000 credits (2,082,200)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (24,608,301)SR5 LLR Turquoise: Earned 5,000,000 credits (7,371,106)SGS LLR Ruby: Earned 2,000,000 credits (2,010,466)TRP LLR Ruby: Earned 2,000,000 credits (2,433,520)Woodall LLR Ruby: Earned 2,000,000 credits (2,012,392)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (3,632,240)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Turquoise: Earned 5,000,000 credits (7,086,053)GFN Emerald: Earned 50,000,000 credits (52,696,917)PSA Jade: Earned 10,000,000 credits (10,038,118)
Message 92491 - Posted: 29 Feb 2016 | 17:10:08 UTC

Out of curiosity, are you also verifying, with LLR or PFGW, that all PRPs found with Genefer are actually prime?
____________
Please do not PM me with support questions. Ask on the forums instead. Thank you!

My lucky number is 75898524288+1

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92498 - Posted: 29 Feb 2016 | 17:53:15 UTC - in response to Message 92491.

I'm using PFGW. So far all PRPs for n=13 and n=14 that I have tested apart from one has verified as prime.

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Message 92799 - Posted: 4 Mar 2016 | 17:18:13 UTC - in response to Message 92498.

I'm using PFGW. So far all PRPs for n=13 and n=14 that I have tested apart from one has verified as prime.


Did you find a PRP which is not prime?

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92823 - Posted: 4 Mar 2016 | 22:12:24 UTC - in response to Message 92799.

I remember it was b=4 for either n=13 or n=14. I just tried it again, and both are found by genefer as PRP. Presumably one of these wasn't removed by sieve so it made it to genefer testing previously. Is there some magic about b=4?

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Message 92825 - Posted: 4 Mar 2016 | 23:13:24 UTC - in response to Message 92823.

I remember it was b=4 for either n=13 or n=14. I just tried it again, and both are found by genefer as PRP. Presumably one of these wasn't removed by sieve so it made it to genefer testing previously. Is there some magic about b=4?


Maybe any b that is a power of two makes b^(2^n)+1a PRP. Note that these are known to be composite for all the values of n that genefer can handle. /JeppeSN

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Message 92833 - Posted: 5 Mar 2016 | 10:50:52 UTC - in response to Message 92823.
Last modified: 5 Mar 2016 | 11:18:52 UTC

I remember it was b=4 for either n=13 or n=14. I just tried it again, and both are found by genefer as PRP. Presumably one of these wasn't removed by sieve so it made it to genefer testing previously. Is there some magic about b=4?

Fermat numbers are PRP because genefer test is g = b^2^n+1, 2^(g-1) ?= 1 (mod g).
If b=2^2^m then g is a Fermat number.

But we know that F_0, ..., F_4 are prime and that F_5, ..., F_32 are composite.
And if b=2^k and k != 2^m, the polynomial is not irreducible then g is composite.
Then powers of two don't have to be checked.

If b != 2^k, a PRP which is not prime is much rarer than a prime! Remember to announce the discovery.

"Let g = b^4+1, b != 2^k. Find a number g such that 2^(g-1) = 1 (mod g) and g is composite" is an open problem?

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 92835 - Posted: 5 Mar 2016 | 11:42:40 UTC - in response to Message 92833.

If b != 2^k, a PRP which is not prime is much rarer than a prime! Remember to announce the discovery.


I'll be sure to post if I find one. I'm still sieving n=13 for most b<101M. I'm doing something else with my offline systems for now, but think I will attack the rest of n=13 when that is out of the way.

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Message 92836 - Posted: 5 Mar 2016 | 12:02:27 UTC - in response to Message 92833.

Conjecture of the day:
Let g = b^4+1 and b != 2^n.
If 2^(g-1) = 1 (mod g) then g is prime.

I can't find a counter-example.

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Message 92851 - Posted: 5 Mar 2016 | 21:13:32 UTC - in response to Message 92836.

Conjecture of the day:
Let g = b^4+1 and b != 2^n.
If 2^(g-1) = 1 (mod g) then g is prime.

I can't find a counter-example.


Do you mean "conjecture" as in "you want to bet it is true"?

I also could not find any counterexample. But maybe we just need to search further? As you seem to know, if we look at GF(1,b)=b^2+1 instead, it is easy to find examples (A135590 (includes powers of two)).

/JeppeSN

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Message 92865 - Posted: 6 Mar 2016 | 11:59:30 UTC - in response to Message 92851.

Do you mean "conjecture" as in "you want to bet it is true"?

I don't think that it is true then "open problem" would be more appropriate.
Surprisingly, the problem is hard to solve.

I also could not find any counterexample. But maybe we just need to search further? As you seem to know, if we look at GF(1,b)=b^2+1 instead, it is easy to find examples (A135590 (includes powers of two)).

649800^2 + 1, b = [2, 3; 3, 2; 5, 2; 19, 2]
4321800^2 + 1, b = [2, 3; 3, 2; 5, 2; 7, 4]
are the closest solutions.
b is highly composite...?

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Message 92876 - Posted: 6 Mar 2016 | 16:49:00 UTC - in response to Message 92865.

How far did you search? I consider asking a question at Math Stack Exchange about this. /JeppeSN

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Message 92882 - Posted: 6 Mar 2016 | 18:59:34 UTC - in response to Message 92876.

How far did you search? I consider asking a question at Math Stack Exchange about this. /JeppeSN

Not far, b = 100,000,000 (Pari GP on my laptop).

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Message 92909 - Posted: 7 Mar 2016 | 17:37:28 UTC - in response to Message 92882.

How far did you search? I consider asking a question at Math Stack Exchange about this. /JeppeSN

Not far, b = 100,000,000 (Pari GP on my laptop).

The new bound is 700,000,000. I'm going to extend it to 2^32.

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Message 92922 - Posted: 7 Mar 2016 | 22:53:44 UTC - in response to Message 92876.

How far did you search? I consider asking a question at Math Stack Exchange about this. /JeppeSN


I asked the question If b is even and not a power of two, can b^4+1 be a weak pseudoprime? /JeppeSN

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Message 92923 - Posted: 7 Mar 2016 | 23:14:25 UTC

I wish I understood the question, never mind be able to answer it. Is this essentially asking if we can get a PRP that is not prime - under some conditions?

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Message 92944 - Posted: 8 Mar 2016 | 16:42:36 UTC - in response to Message 92923.

I wish I understood the question, never mind be able to answer it. Is this essentially asking if we can get a PRP that is not prime - under some conditions?


Absolutely. For n>1, all the (small) GFN numbers we find that are PRP, are also genuine primes (except if b is of the form 2^(2^k)). So I just ask about cases where a generalized Femat is PRP but fails to be a real prime.

For n=1 it is easy to find such examples.

/JeppeSN

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Message 92980 - Posted: 9 Mar 2016 | 13:55:43 UTC - in response to Message 92909.

The new bound is 700,000,000. I'm going to extend it to 2^32.

The smallest numbers b such that b^4 + 1 is a pseudoprime to base 2 are 2^2^3, 2^2^4 and 2^2^5.

I'm extending the search to other bases; some solutions exist:
30^4 + 1 = 241*3361 is 21-PRP.
40^4 + 1 = 769*3329 is 17-PRP.
But until now, I found neither 3-PRP nor 5-PRP.

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Message 93003 - Posted: 10 Mar 2016 | 13:51:27 UTC - in response to Message 92980.

The smallest numbers b such that b^4 + 1 is a pseudoprime to base 2 are 2^2^3, 2^2^4 and 2^2^5.


But Yves, everybody wants to know if there are any in between 2^2^5 (F7) and 2^2^6 (F8). /JeppeSN ;-)

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Message 93039 - Posted: 13 Mar 2016 | 0:03:31 UTC

It is late and I'm about to go to bed... but if my eyes are not deceiving me, pfgw primality test (-t option) is running faster than genefer PRP! I only noticed this as I'm wrapping up tests and happened to run both at the same time on the same system. Previously I would do the two on different systems at different times.

Genefer64 3.3.0-dev PRP tests are taking on average over 3 minutes for n=14, b ~ 4.5M
PFGW64 3.7.10 -t tests are taking 128 seconds for n=14, b ~ 5.0M

System: i7-6700k at 4.2 GHz, 4 cores, HT off, running only one each of the above so leaving 2 cores free.

Am I missing something obvious or might I possibly have done things >40% faster if I went straight to PFGW? I haven't yet tried running the exact same tests on both, but genefer was doing near enough same times between 4.5M and 5.0M.

I guess tomorrow I will need to compare the two in more detail at different n and b combinations.

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Message 93044 - Posted: 13 Mar 2016 | 7:42:21 UTC - in response to Message 93039.

It is late and I'm about to go to bed... but if my eyes are not deceiving me, pfgw primality test (-t option) is running faster than genefer PRP! I only noticed this as I'm wrapping up tests and happened to run both at the same time on the same system. Previously I would do the two on different systems at different times.

Genefer64 3.3.0-dev PRP tests are taking on average over 3 minutes for n=14, b ~ 4.5M
PFGW64 3.7.10 -t tests are taking 128 seconds for n=14, b ~ 5.0M

System: i7-6700k at 4.2 GHz, 4 cores, HT off, running only one each of the above so leaving 2 cores free.

Am I missing something obvious or might I possibly have done things >40% faster if I went straight to PFGW? I haven't yet tried running the exact same tests on both, but genefer was doing near enough same times between 4.5M and 5.0M.

I guess tomorrow I will need to compare the two in more detail at different n and b combinations.

That's weird, I tried PFGW on n=13 around the 12M range and it took 3min VS 2min from Genefer.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 93051 - Posted: 13 Mar 2016 | 11:15:43 UTC

And the side project is complete. Testing of n=14 for b = 4M to 5M. A total of 22 new primes were found as follows:

4004684
4007186
4052976
4247456
4278866
4286504
4293066
4385460
4424120
4460954
4507390
4552274
4648872
4687884
4705116
4790694
4805090
4809186
4838758
4922426
4936584
4960620

The 12 previously known primes were also rediscovered.

I'm still looking at testing performance, but it looks like pfgw in either PRP or -t modes is generally faster than genefer x87 transform, with the gap between them closing as b increases. More on this later.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 93056 - Posted: 13 Mar 2016 | 12:17:43 UTC



Here is the timing per test for n=13 and various b from around 4M to 100M. genefer and pfgw rpr slow down as b increases. pfgw -t is generally slightly slower than prp, but sometimes it is much slower. It looks like it is spending time finding a factor to use for the test.



Same data expressed as a % speed increase comparing 3 scenarios:
pfgw (prp) vs genefer: In this case pfgw is up to 50% faster at lower b, dropping to 20% at the upper end of this range.
pfgw -t vs genefer: similar gains at low end, but drops more at higher b. Note the spike around 40M, caused by a rather slow running test, resulting in me going back to run units on either side to see if it was a one-off as opposed to something happening around there.
pfgw (prp) vs pfgw -t: small benefit generally, except in the case of the slow -t tasks.

Above considered, it would seem that if I'm going to wrap up n=13 for b < 101M, pfgw prp is faster all around. I still need to check this applies to different CPU/OS combinations.

Rafael, what CPU/OS are you running on?

I haven't shown n=14 here, for b = 3.5M to 4.5M pfgw was 50-60% faster than genefer. However at b ~ 3.0M genefer is about 7x faster, as I guess genefer uses a faster transform there which pfgw doesn't.

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Message 93064 - Posted: 13 Mar 2016 | 16:02:00 UTC - in response to Message 93056.



Here is the timing per test for n=13 and various b from around 4M to 100M. genefer and pfgw rpr slow down as b increases. pfgw -t is generally slightly slower than prp, but sometimes it is much slower. It looks like it is spending time finding a factor to use for the test.



Same data expressed as a % speed increase comparing 3 scenarios:
pfgw (prp) vs genefer: In this case pfgw is up to 50% faster at lower b, dropping to 20% at the upper end of this range.
pfgw -t vs genefer: similar gains at low end, but drops more at higher b. Note the spike around 40M, caused by a rather slow running test, resulting in me going back to run units on either side to see if it was a one-off as opposed to something happening around there.
pfgw (prp) vs pfgw -t: small benefit generally, except in the case of the slow -t tasks.

Above considered, it would seem that if I'm going to wrap up n=13 for b < 101M, pfgw prp is faster all around. I still need to check this applies to different CPU/OS combinations.

Rafael, what CPU/OS are you running on?

I haven't shown n=14 here, for b = 3.5M to 4.5M pfgw was 50-60% faster than genefer. However at b ~ 3.0M genefer is about 7x faster, as I guess genefer uses a faster transform there which pfgw doesn't.

I was using a Pentium E2180 with Windows 10. Not sure of the exact times, but Genefer takes me a little bit over 2min and PFGW over 3.

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Message 93066 - Posted: 13 Mar 2016 | 17:33:01 UTC - in response to Message 93064.

Did you need to quote the charts? :)

That's something on my "to do" list, try on different CPU/OS platforms. I doubt OS makes much difference other than possibly perhaps 32/64-bit.

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Message 93070 - Posted: 13 Mar 2016 | 19:43:18 UTC - in response to Message 93044.


Genefer64 3.3.0-dev PRP tests are taking on average over 3 minutes for n=14, b ~ 4.5M
PFGW64 3.7.10 -t tests are taking 128 seconds for n=14, b ~ 5.0M

That's weird, I tried PFGW on n=13 around the 12M range and it took 3min VS 2min from Genefer.


I think this is kind of expected. Since PFGW uses gwnum and the transform size scales with the length of the candidate, then if we are just past the b limit of the 'fast' transforms in genefer and switched to x87, then the fixed transform length means that most of the 80 bits of precision are not needed i.e. genefer is a bit inefficient, and PFGW or LLR may well beat it. If you are testing just below the b limit, then genefer should beat gwnum (I think).

- Iain
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3073428256125*2^1290000-1 is Prime!

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 93071 - Posted: 13 Mar 2016 | 19:44:55 UTC - in response to Message 93066.

Not so quick, quick test on Core 2 E6600 for n=13 only. Win10-64. Genefer was taking around 1.5 to 2 minutes, pfgw prp was taking 2.5 to 3 minutes. So, it seems to be CPU dependant here. The systems I'm mostly running on are 32-bit OS, sandy bridge so I hope that is closer to Skylake than Core 2!

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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 93072 - Posted: 13 Mar 2016 | 19:50:54 UTC - in response to Message 93051.
Last modified: 15 Mar 2016 | 8:48:25 UTC

And the side project is complete. Testing of n=14 for b = 4M to 5M. A total of 22 new primes were found as follows:

4004684
4007186
4052976
4247456
4278866
4286504
4293066
4385460
4424120
4460954
4507390
4552274
4648872
4687884
4705116
4790694
4805090
4809186
4838758
4922426
4936584
4960620

The 12 previously known primes were also rediscovered.

I'm still looking at testing performance, but it looks like pfgw in either PRP or -t modes is generally faster than genefer x87 transform, with the gap between them closing as b increases. More on this later.


Thanks Mackerel! I will update the list on the website as soon as my range b=2.7-4.0M completes. I have found two previously missed primes:

2869920
2946916

As well as the previously known 36 in this range. Should be completely finished in the next couple of days. Edit: done now with nothing new to report.

- Iain
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3073428256125*2^1290000-1 is Prime!

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 93073 - Posted: 13 Mar 2016 | 19:53:10 UTC - in response to Message 93070.
Last modified: 13 Mar 2016 | 19:53:54 UTC

Since PFGW uses gwnum and the transform size scales with the length of the candidate, then if we are just past the b limit of the 'fast' transforms in genefer and switched to x87, then the fixed transform length means that most of the 80 bits of precision are not needed i.e. genefer is a bit inefficient, and PFGW or LLR may well beat it. If you are testing just below the b limit, then genefer should beat gwnum (I think).


Not sure that's the whole story. I've ran the same set of tests for n=13 on a Core 2 and Skylake, both on Win10-64. pfgw is faster on Skylake, genefer is faster on Core 2. I'm guessing pfgw is able to do more use of CPU features.

I'm going to have to test more before doing future testing. If I had done this earlier, I could have done the n=14, b= 4 to 5M range in about 1/3 less time (assuming those systems also benefit!).

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 93091 - Posted: 14 Mar 2016 | 10:36:14 UTC - in response to Message 93073.

Ok, those systems didn't benefit.

i7-2600 Win7-32:
n=14, b=4960620, genefer 249s, pfgw prp 267s
n=13, b=4M, genefer 58s, pfgw prp 58s
n=13, b=40M, genefer 67s, pfgw prp 79s

So on this system genefer is same or faster than pfgw.

At least it shows I didn't miss a speed improvement on this system. I need to try more combinations to understand where the difference lies. I still have 32 vs 64 bit to consider, as well as the usual instruction set differences.

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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 93169 - Posted: 15 Mar 2016 | 8:50:29 UTC

I have updated the n=14 status page to include the recheck up to b=5M that mackerel and I just completed.

- Iain


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3073428256125*2^1290000-1 is Prime!

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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 93657 - Posted: 30 Mar 2016 | 22:13:38 UTC

And I finally, FINALLY finished my first batch of work. Took me a while, my APU is even weaker than I thought...

But anyway, I've checked the 10M~11,2M range for n=13. All the previous known primes were found, but nothing new showed up. Oh well.... I guess I'm not finding primes today. It's okay, though, I've already found 3 just a above 11.2M. I didn't PFGW them yet, but I'll report them along with the 11.2~12M batch.

Here's a link for factors files: https://mega.nz/#!zUl0GZBb!GW9nrtJMZ2JURjGKz35kyw3FzRpXtyAoY-jlvyMgazQ

And here's a link for the residues: https://mega.nz/#!nN8xmBIT!G4_9p9ENKp6nbAqA1Khp-7DnppmjFL7iaGsEguU-HTY

Onwards to 15M!

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 93719 - Posted: 1 Apr 2016 | 12:33:08 UTC

Just finished PRP on n=13, b = 100M to 101M. I'm running the results through pfgw -t now, but so far two came up only PRP again, not prime. I note after the test is done, it shows a lower % value than other proven prime ones. Is there some extra setting I need to use to make it try harder, or do I need alternate tests to prove if the PRP are prime or not?

I don't have time to look further at the moment but will report what I have this evening.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 93724 - Posted: 1 Apr 2016 | 14:09:34 UTC - in response to Message 93719.

Had a further look after all. Couldn't get pfgw to confirm they were prime, but I noticed 3 of them were already known as prime. Since I had LLR also on hand, I tried that and it confirmed they were also prime.

So with that, I can confirm I have tested for n=13, b from 100M to 101M. In the previously tested range just above 100M, I rediscovered those primes and found no new ones. Above that range, I found the following b values gave primes:

100225612
100238562
100246666
100264402
100278098
100302418
100316168
100322822
100332956
100351492
100376348
100413650
100439252
100444432
100446814
100458146
100463548
100473630
100491446
100503538
100519984
100534428
100535898
100546546
100547372
100596960
100603358
100612462
100625968
100646540
100648566
100652402
100668930
100684642
100704406
100726598
100730170
100733312
100734524
100783918
100799988
100802772
100825640
100901872
100915502
100943640
100961126

Same software as used previously, genefer for prp, pfgw -t for most confirmation but I had to use LLR for the ones pfgw couldn't deal with.

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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 93937 - Posted: 7 Apr 2016 | 14:57:13 UTC

The n=13 status page is updated with Rafael and Mackerel's recent work. Thanks folks!

Would be really great if 3.8-10M could be double-checked. Anybody up for it? The real value in these low n is extended the continuous range of b which has been checked, filling in higher b values not so much...

- Iain
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3073428256125*2^1290000-1 is Prime!

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Discovered the World's First GFN-20 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (20,089,185)Cullen LLR Sapphire: Earned 20,000,000 credits (21,197,588)ESP LLR Sapphire: Earned 20,000,000 credits (20,089,407)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,037,992)PPS LLR Sapphire: Earned 20,000,000 credits (21,124,264)PSP LLR Sapphire: Earned 20,000,000 credits (20,117,197)SoB LLR Sapphire: Earned 20,000,000 credits (21,208,789)SR5 LLR Sapphire: Earned 20,000,000 credits (20,278,667)SGS LLR Sapphire: Earned 20,000,000 credits (20,055,153)TRP LLR Sapphire: Earned 20,000,000 credits (20,619,871)Woodall LLR Sapphire: Earned 20,000,000 credits (20,376,227)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,371,066)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,051,222,753)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,189,695)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,102,079)AP 26/27 Emerald: Earned 50,000,000 credits (60,248,786)GFN Double Ruby: Earned 2,000,000,000 credits (3,811,648,256)PSA Double Bronze: Earned 100,000,000 credits (194,620,077)
Message 93940 - Posted: 7 Apr 2016 | 15:53:06 UTC

I'm game if noone else is, but I will need some direction as what to run.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 93941 - Posted: 7 Apr 2016 | 16:38:48 UTC - in response to Message 93937.

I'm still (slowly) sieveing including that range. Taking a snapshot a moment ago, at p > 57P, for the b range 3.8M to 10M there are 763756 candidates remaining.

To give a rough job size indication, two i7-2600 machines I have run each task in an average 73 seconds at the 100M range, and it should be quicker under 10M. So I could do this by myself in about 65 to 80 days using those two systems.

It then depends on how many want to join in, and how much work each takes. Primes found will be too small for top5000 list unless you can find a time machine.

I've used genefer exclusively so far as it is the fastest on the computers I've used. However I did find on my i7-6700k at home, pfgw can be faster. GPU can also be used if you want, but I will have to leave it to any volunteers to work out what they want to throw at it most effectively.

Work will be manual and I can knock up some instructions as needed, but essentially for the test range taken, split it into however many cores/GPUs you want to run, and run one instance per core. If using multiple different speed devices, you will have to manually balance the distribution according to how you run. e.g. if one computer is 2x the speed of another, it would need 2x the work if you want them to finish at the same time.

@Iain, in case you're curious why I started attacking 100M-101M, it is my (unproven) belief the sieve speed is determined by max b only, so for time optimisation it would be faster to start from the top as it were. Also since I only run CPU, I would leave the lower range free for possible GPU testing as that would reach b limit in the upper end (unless b limits have gone up since then). Separately, on the webpage, you write that I double checked the up to 101M range, where it was only 1st pass tested. The colour scheme is correct.

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Discovered the World's First GFN-20 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (20,089,185)Cullen LLR Sapphire: Earned 20,000,000 credits (21,197,588)ESP LLR Sapphire: Earned 20,000,000 credits (20,089,407)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,037,992)PPS LLR Sapphire: Earned 20,000,000 credits (21,124,264)PSP LLR Sapphire: Earned 20,000,000 credits (20,117,197)SoB LLR Sapphire: Earned 20,000,000 credits (21,208,789)SR5 LLR Sapphire: Earned 20,000,000 credits (20,278,667)SGS LLR Sapphire: Earned 20,000,000 credits (20,055,153)TRP LLR Sapphire: Earned 20,000,000 credits (20,619,871)Woodall LLR Sapphire: Earned 20,000,000 credits (20,376,227)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,371,066)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,051,222,753)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,189,695)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,102,079)AP 26/27 Emerald: Earned 50,000,000 credits (60,248,786)GFN Double Ruby: Earned 2,000,000,000 credits (3,811,648,256)PSA Double Bronze: Earned 100,000,000 credits (194,620,077)
Message 93942 - Posted: 7 Apr 2016 | 16:43:35 UTC

If you could throw some instructions up, I'll give the gpu route a shot.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 93943 - Posted: 7 Apr 2016 | 17:08:15 UTC - in response to Message 93942.

I'll do that later this evening. It would be interesting to see how long it takes before you commit to GPU. I'm doing this from memory, but there is a quick test command line option, so if you do something like

genefer -q "4000000^8192+1" you can see how long it takes. Think same applies to both CPU and GPU versions. Also interesting to test at 10M too. Without checking I'm not sure what transforms are supported at these levels.


Separately, I just checked the sieve rate on this smaller range. It looks like it is optimal. Using a faster machine than I was using was before, it was only removing an average one candidate every 3 minutes, so it is worth testing this range now.

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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 93945 - Posted: 7 Apr 2016 | 17:54:36 UTC - in response to Message 93937.

Would be really great if 3.8-10M could be double-checked. Anybody up for it?

Drop it into a PRPNet server and you'd have it done in no time. :)
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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 93946 - Posted: 7 Apr 2016 | 18:04:58 UTC - in response to Message 93945.

PRPnet is something I had kinda thought about in the past. I'm not confident enough to set one up for internet access though. Any volunteers to set up and host it?

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321 LLR Bronze: Earned 10,000 credits (11,773)Cullen LLR Bronze: Earned 10,000 credits (14,945)ESP LLR Bronze: Earned 10,000 credits (26,855)PPS LLR Bronze: Earned 10,000 credits (84,876)PSP LLR Bronze: Earned 10,000 credits (15,311)SoB LLR Bronze: Earned 10,000 credits (21,440)SR5 LLR Bronze: Earned 10,000 credits (29,270)SGS LLR Bronze: Earned 10,000 credits (26,616)TPS LLR (retired) Bronze: Earned 10,000 credits (36,288)TRP LLR Bronze: Earned 10,000 credits (41,655)Woodall LLR Bronze: Earned 10,000 credits (15,807)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,014)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (23,405)PPS Sieve Bronze: Earned 10,000 credits (36,192)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (20,306)TRP Sieve (suspended) Bronze: Earned 10,000 credits (21,738)GFN Bronze: Earned 10,000 credits (86,217)PSA Ruby: Earned 2,000,000 credits (2,143,756)
Message 93947 - Posted: 7 Apr 2016 | 18:33:54 UTC - in response to Message 93946.

PRPnet is something I had kinda thought about in the past. I'm not confident enough to set one up for internet access though. Any volunteers to set up and host it?

Logical location is Primegrid.
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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 93948 - Posted: 7 Apr 2016 | 18:52:06 UTC - in response to Message 93942.
Last modified: 7 Apr 2016 | 18:52:56 UTC

Would be really great if 3.8-10M could be double-checked. Anybody up for it? The real value in these low n is extended the continuous range of b which has been checked, filling in higher b values not so much...- Iain

Whenever Mackerel finishes sieving and send me some candidate files, I'll help for sure. In the mean time, I'll keep working on the 11.2M to 15M range, as I already have it sieved to optimal depth.

If you could throw some instructions up, I'll give the gpu route a shot.

The first thing one should do is sieve the range. I think this is obvious, but sieving can remove candidates MUCH faster than either CPU or GPU, up to a certain point; at that time, stop sieving, get the candidates file and start testing them with Genefer, PFGW or whatever program you want.

Now, normally you'd have to do sieving yourself. BUT, Mackerel and I already did that for most ranges. Doing it again would be a waste of computing time, in my eyes. As such, you should take the candidates files we already have in our PCs. Given that the 3.8~10M range is still not finished, I'll throw you my 11.2~12M candidates file to keep you busy.

This range hasn't been tested before; in other words, there are some free primes out there. I'm currently running it myself (already found 20), but we need someone else to double check it, if we want to do things the proper way. So yeah, help me out buddy! =)

To run it, first download the genefer app, which you can find in this post. With the candidate file in hands, you can split it into smaller parts, if you intend to use multiple CPUs / GPUs, or just test it as a whole, if you'll be working on a single device. The command line is:

however_you_name_the_genefer_app.exe name of the candidate file you decided to test

For the GPU add, add a "-x ocl4" to the end, without the quotes. This is to force the app to use the OCL4 transform, since it's by far the best in this range.
For the CPU app, add a "-x x87" to the end, without the quotes. This is to force the app to use the 80-bit transform, since it's long past the B-limit of all other transforms available.

Once you are finished, the app will spit two files:
-The first one is the genefer.txt, which has the residues for every single test you ran; this is what we want, a "document" on the search history. Once you finish it, we can compare to my own results, and if the residues match, we did a good job. If 2 residues for a given number are different, then one of us made and error, and we have to re-check that number again.
-The second file is a verif.txt, which has a summary of the prime numbers found. This one will take a while to generate; in fact, it'll only show up once you've finished testing 11209008^8192+1, which is the first PRP in the range, unless I missed something there. Oh, and spoiler: I already checked that one with PFGW, and it really is prime.

(We're getting to the end here, don't worry) Finally, after you are finished with the tests, you verify the found primes. Genefer doesn't GURANTEE that a number is prime; it's most likely prime, but it isn't 100% certain, so you have to check it again. You could check against the database of known primes, or verify it yourself with PFGW or another prime testing program. Since I'm already running it, I'll most likely have posted the results myself by the time you get to the end, so you'll be able to compare your primes with mine.

And after all of this work, you just publish your results! Upload your residues file somewhere and link it here. Then, Ian is going to throw both of our files into a scrip to check if everything is ok (which I assume he has one at hand, no?) before making it oficial.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 93949 - Posted: 7 Apr 2016 | 19:11:10 UTC - in response to Message 93947.

PRPnet is something I had kinda thought about in the past. I'm not confident enough to set one up for internet access though. Any volunteers to set up and host it?

Logical location is Primegrid.


https://drive.google.com/file/d/0B8GpiULT5O5fX2lEX1dKVzhhNHM/view?usp=sharing

Above link is the sieve output I have for 3.8M-10M compressed in 7zip format. So if someone can set up that in PRPnet things can get rolling.

As mentioned in a previous post I believe it is more than optimal. I hadn't consciously thought before that sieveing a smaller range can be optimal where if considered as a larger range it isn't.

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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 93950 - Posted: 7 Apr 2016 | 19:15:25 UTC - in response to Message 93949.

Above link is the sieve output I have for 3.8M-10M compressed in 7zip format. So if someone can set up that in PRPnet things can get rolling.

As mentioned in a previous post I believe it is more than optimal. I hadn't consciously thought before that sieveing a smaller range can be optimal where if considered as a larger range it isn't.

Huh. So you've sieved to 57000P. My machines have 3500 / 5400P as the optimal depth point (for higher ranges, which take longer to test).

Pretty sure this is oversieved....

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,919,609)Cullen LLR Turquoise: Earned 5,000,000 credits (9,900,172)ESP LLR Turquoise: Earned 5,000,000 credits (9,250,676)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,003,476)PPS LLR Turquoise: Earned 5,000,000 credits (6,331,661)PSP LLR Turquoise: Earned 5,000,000 credits (5,089,560)SoB LLR Turquoise: Earned 5,000,000 credits (5,824,522)SR5 LLR Turquoise: Earned 5,000,000 credits (5,399,087)SGS LLR Turquoise: Earned 5,000,000 credits (5,240,167)TRP LLR Turquoise: Earned 5,000,000 credits (9,911,706)Woodall LLR Turquoise: Earned 5,000,000 credits (5,011,851)Generalized Cullen/Woodall Sieve 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 (50,727,057)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 93951 - Posted: 7 Apr 2016 | 19:23:11 UTC - in response to Message 93941.

I'm still (slowly) sieveing including that range. Taking a snapshot a moment ago, at p > 57P, for the b range 3.8M to 10M there are 763756 candidates remaining.

Hmm... I've started much later then you but already got it up to 100P (and stopped here) using only single two-core Celeron (but quite recent model). I thought about playing with these numbers myself, but right now all my useful systems are busy with other projects and goals, and will stay busy for another 2-3 month. So I could only offer this sieve to you as a help in your quest. It's a 3.8M-101M range sieved up to 100P, about 11800000 candidates left. If you're interested, drop me a PM, I'll send you a link.

If you plan to sieve further, please keep factor files, so if I'll ever want to play with it myself, I could replay your results and recreate sieve.

@Iain, in case you're curious why I started attacking 100M-101M, it is my (unproven) belief the sieve speed is determined by max b only, so for time optimisation it would be faster to start from the top as it were.

No, GFN sieving time is constant no matter how big max b is. Using existing public tools, you could sieve up to b=1000M (may be 1024M), This is limited by a bug in 32-bit program (it starts throwing weird errors at higher ranges), and you MUST use 32-bit program to start a sieve because 64-bit has a bug with low p values (p < b). The speed will be same as if you've sieved up to b=10M, or 100M, or whatever, only file size grows.

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Message 93952 - Posted: 7 Apr 2016 | 19:30:28 UTC - in response to Message 93951.

Using existing public tools, you could sieve up to b=1000M (may be 1024M), This is limited by a bug in 32-bit program (it starts throwing weird errors at higher ranges), and you MUST use 32-bit program to start a sieve because 64-bit has a bug with low p values (p < b). The speed will be same as if you've sieved up to b=10M, or 100M, or whatever, only file size grows.

All hail Yves' upcoming OpenCL sieve program, that he said was coming out this week or so.

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Message 93953 - Posted: 7 Apr 2016 | 19:35:58 UTC - in response to Message 93952.
Last modified: 7 Apr 2016 | 19:39:22 UTC

Using existing public tools, you could sieve up to b=1000M (may be 1024M), This is limited by a bug in 32-bit program (it starts throwing weird errors at higher ranges), and you MUST use 32-bit program to start a sieve because 64-bit has a bug with low p values (p < b). The speed will be same as if you've sieved up to b=10M, or 100M, or whatever, only file size grows.

All hail Yves' upcoming OpenCL sieve program, that he said was coming out this week or so.

GPU program can sieve N >= 15 only (no matter is it CUDA or OpenCL, main math part wasn't changed), so it will not help us with GFN-13.

Edit: also it requires p >= 1P, so "startup" part is always being done by CPU programs.

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Message 93957 - Posted: 7 Apr 2016 | 21:23:10 UTC - in response to Message 93950.
Last modified: 7 Apr 2016 | 21:24:39 UTC

Huh. So you've sieved to 57000P. My machines have 3500 / 5400P as the optimal depth point (for higher ranges, which take longer to test).

Pretty sure this is oversieved....

I sieved to 57P for 3.8-10M + 15M-100M (the 10-15M hole being taken by Rafael). In that total range I was removing candidates at around 5 per minute from memory. If you sieve a smaller range, there are fewer candidates to remove, so optimal depth will be lower. If I consider only 3.8-10M, it is well done.

Hmm... I've started much later then you but already got it up to 100P (and stopped here) using only single two-core Celeron (but quite recent model).

I used a single core of a 32-bit system... I didn't care about performance as this was essentially a background task and I wasn't sure where I was going with it.

If you plan to sieve further, please keep factor files, so if I'll ever want to play with it myself, I could replay your results and recreate sieve.

I can put the factor files somewhere, although it is a bit complicated as I chopped ranges out of the sieve file now and then...

No, GFN sieving time is constant no matter how big max b is.

Intuitively that doesn't feel right, but I don't have anything more to offer than that. So let's say you have some insane upper b limit, it would really take the same time as a low b? Not that it matters. If I'm wrong, there is no speed up from my method of starting at the top, so there is no loss other than Iain has to wait a bit longer to fill in the gaps from below :)

---- 8< ----

Anyway, since there is more interest, I guess we should have some better coordination. Up to now, this is mostly something I've played with as a self learning exercise. There is occasional interest from others. I think as a first step, will be a question to those who manage PrimeGrid: will this be adopted as a formal project? Or will it remain as something small and self coordinated? There is a bigger question of goals. Personally I would like to see at least 1st pass testing done on everything up to 101M, but this is very arbitrary on my part. Iain only stated a desire to fill in up to 10M. What is the relative value of this task vs. other tasks going on? Maybe do n=14 after too? I'm thinking if it was added to PRPnet, participants would get credit as well as the chance of small primes.

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Message 93958 - Posted: 7 Apr 2016 | 21:38:33 UTC - in response to Message 93957.

Anyway, since there is more interest, I guess we should have some better coordination. Up to now, this is mostly something I've played with as a self learning exercise. There is occasional interest from others. I think as a first step, will be a question to those who manage PrimeGrid: will this be adopted as a formal project? Or will it remain as something small and self coordinated? There is a bigger question of goals. Personally I would like to see at least 1st pass testing done on everything up to 101M, but this is very arbitrary on my part. Iain only stated a desire to fill in up to 10M. What is the relative value of this task vs. other tasks going on? Maybe do n=14 after too? I'm thinking if it was added to PRPnet, participants would get credit as well as the chance of small primes.

I feel n=13 (and 14) could fill a very special niche in PG, which is allowing super old GPUs to help. n=15 and 16 currently use OCL4 (high), which requires CC 2.0. Stuff like a Gts 250 (which I just had a guys ask abou on another forum) only has CC 1.2, so it can't do those ranges. And my guess is that n=17-low will take a pretty long time per task.

Also, given the fact that the algorithm can't leverage the full potential of stronger GPUs at low n, it got me thinking if it could use 100% of a very weak card. I don't have one to test right now, but in a sense, you could say that this would be an "optimal" project for old GPUs. And possibily iGPUs as well, but that's for another day.

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Message 93967 - Posted: 8 Apr 2016 | 11:52:09 UTC - in response to Message 93957.

Well, since my sieve look much deeper then others, I've put the file at

https://yadi.sk/d/BRQzejmjqpvVQ

(I've never published files here before, so if there'll be any problems with download, please let me know, I'll try to find another place for it).

The sieve contains range 3.8M-101M sieved up to 100P. mackerel, Rafael, Van - you can use it to get list of candidates for your ranges.

If you plan to sieve further, please keep factor files, so if I'll ever want to play with it myself, I could replay your results and recreate sieve.

I can put the factor files somewhere, although it is a bit complicated as I chopped ranges out of the sieve file now and then...

Never mind then. But if sometime in the future you still want to sieve above 100P, please use my sieve as input and keep factors. Don't cut sieve ranges! Speed will be the same anyway.

No, GFN sieving time is constant no matter how big max b is.

Intuitively that doesn't feel right, but I don't have anything more to offer than that.

Intuition is not a good friend here :) GFN sieve algorithm is "reversed" comparing to standard procedure. Instead of checking all candidates sequentially - are they divisible by current p, it generates list of all composite candidates from current p. If a candidate is in your list, it's removed just by clearing a bit in the table. Otherwise, it's just ignored (but the factor can be saved to file for future use).

So let's say you have some insane upper b limit, it would really take the same time as a low b?

Correct. The upper limit is determined by precision of algorithm used. For example, GPU program could handle up to b=2^31 (because it uses 32-bit math in most cases). CPU program is no less then. Will you sieve up to 1M, 101M, 2000M - speed will be not changed, because the algorithm always generates all composite candidates up to 2^31.

So why it's reasonable to always sieve GFN up to maximum possible limit. Our 101M-limit is a bit low, recent combined Genefer-GPU program could work up to 400M. If we'll decide to go above 101M, we have to sieve again, and spend same amount of time again. But I'm not sure if it'll make sense to go above 101M, since (at my opinion) main goal of this whole topic is to get some fun, self-education, and help Ian to doublecheck/close gaps in his list of GFN primes.

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Message 93970 - Posted: 8 Apr 2016 | 12:07:16 UTC - in response to Message 93958.



Also, given the fact that the algorithm can't leverage the full potential of stronger GPUs at low n, it got me thinking if it could use 100% of a very weak card. I don't have one to test right now, but in a sense, you could say that this would be an "optimal" project for old GPUs. And possibily iGPUs as well, but that's for another day.


I have a few old gt 120s that could be useful in this regard, as well as 2 quadro fx's (cc 1.0 anyone?). Its a shame for them to have nothing good to do (although I was able to do some ugly things with manually moving cuda libraries to get a 120 doing wss).

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Message 93983 - Posted: 8 Apr 2016 | 17:10:10 UTC - in response to Message 93970.

I have a few old gt 120s that could be useful in this regard, as well as 2 quadro fx's (cc 1.0 anyone?). Its a shame for them to have nothing good to do (although I was able to do some ugly things with manually moving cuda libraries to get a 120 doing wss).

Provided that these cards can run OpenCL, they SHOULD run the OCL4 app up until around 65M (not sure, pulling it out of memory). After that, the algorithm switches to OCL4 High, which requires CC 2.0 or higher.

You could just do a test run on a random candidate and see if it works. If it does, then have the cards join the fun!

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Message 94683 - Posted: 1 May 2016 | 16:10:59 UTC

And another batch of work completed!

I've checked n=13, with b ranging from 11.2M to 12M. Seems like this range was never been checked before, as I found 52 new primes! Yaay! Here are the babies (all verified with PFGW):

11209008^8192+1
11210128^8192+1
11232114^8192+1
11243734^8192+1
11261154^8192+1
11273618^8192+1
11287918^8192+1
11331642^8192+1
11337090^8192+1
11346984^8192+1
11349422^8192+1
11357626^8192+1
11366732^8192+1
11375636^8192+1
11396450^8192+1
11413940^8192+1
11418022^8192+1
11441874^8192+1
11480606^8192+1
11498142^8192+1
11498890^8192+1
11515220^8192+1
11545770^8192+1
11565148^8192+1
11577410^8192+1
11587764^8192+1
11612592^8192+1
11616190^8192+1
11619282^8192+1
11619828^8192+1
11625048^8192+1
11626292^8192+1
11637260^8192+1
11640938^8192+1
11653270^8192+1
11722636^8192+1
11750516^8192+1
11772708^8192+1
11813870^8192+1
11837926^8192+1
11844594^8192+1
11864878^8192+1
11878578^8192+1
11897736^8192+1
11897972^8192+1
11900406^8192+1
11900912^8192+1
11932502^8192+1
11975374^8192+1
11975656^8192+1
11978428^8192+1
11978990^8192+1

Here's the link for the residues: https://mega.nz/#!WBMx2b7R!O-05-SLuZrVl7BqBid0pfAsfEUZq1mY-T4Byn1QrBKE

Now, 2 very important notes. Note 1 is that since it seems I was the only one to check that range, it's only in Single Pass stats, meaning we need someone else to verify it at a later point. And second note, which ties with the first is: 11.4-12M was done on a Gtx 970, and I MIGHT have used the buggy 364.xx driver along the way.

Now, most of it was surely done with 362.00, which is stable. So most of it is right. But there's a likely chance that buggy driver was used, even if only for a handful of candidates. As such, if a streak of wrong residues is found, that's the reason. It might also have missed a prime along the way, though the ones I reported above all passed PFGW.


Anyway. I'm currently working on 12M-13.1M (if anyone is doing that right now, please warn me so that we don't duplicate work), as I have them crunching on a few of my other machines. This one will take longer, though, as I'm shifting my 970 back to manual sieving for the time being.

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Message 95638 - Posted: 9 Jun 2016 | 14:30:06 UTC - in response to Message 94683.

And another batch of work completed!

I've checked n=13, with b ranging from 11.2M to 12M. Seems like this range was never been checked before, as I found 52 new primes!


Thanks, and well done for finding those primes! I have updated the http://www.primegrid.com/gfn_history13.php.

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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 97514 - Posted: 7 Aug 2016 | 21:38:55 UTC

More work done. Been a while since I started, but after having my APU crunch for a few months, I've double checked n=13 from b=12M to 13,1M. No new primes where foundand the 66 previously known ones all showed up.

Here are the residues: https://mega.nz/#!GcMxiCZD!2NnTgVMLmPVDEne62kYzzO5D_5b4DhRj0sP3yIF1Mdw

And with this, I'm done with n=13, at least for the time being. Now that the OCL version of the sieve app is finally out, I'm moving all my GPUs to that rather than doing further research on n=13. Maybe if one day it (or n=14) shows up in boinc, I'll go back to crunching it, for the GPU sieve app doesn't work on those two n... and I kinda need to get my sapphire GFN badge.

But for now, that's it.

Also, bit of a sidenote, but what would be "best" for Primegrid: sieving n=15 at 5P/day or n=16 at 6.5P/day? Those are the numbers my APU is doing. Both barely use any CPU time and I just don't care about credits, that's not what I'm here for. So I can crunch either of them, if there's a preference for it.

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321 LLR Ruby: Earned 2,000,000 credits (2,054,472)Cullen LLR Ruby: Earned 2,000,000 credits (2,500,846)ESP LLR Ruby: Earned 2,000,000 credits (3,823,612)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,157,923)PPS LLR Ruby: Earned 2,000,000 credits (2,100,471)PSP LLR Turquoise: Earned 5,000,000 credits (5,013,650)SoB LLR Sapphire: Earned 20,000,000 credits (24,147,640)SR5 LLR Jade: Earned 10,000,000 credits (10,153,648)SGS LLR Ruby: Earned 2,000,000 credits (2,000,775)TRP LLR Ruby: Earned 2,000,000 credits (2,105,945)Woodall LLR Ruby: Earned 2,000,000 credits (2,445,894)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,002,919)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (10,106,760)PPS Sieve Emerald: Earned 50,000,000 credits (50,809,179)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,341,676)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,804)AP 26/27 Jade: Earned 10,000,000 credits (10,592,660)GFN Sapphire: Earned 20,000,000 credits (28,396,751)PSA Double Gold: Earned 500,000,000 credits (500,042,445)
Message 97515 - Posted: 7 Aug 2016 | 23:16:33 UTC - in response to Message 97514.

Also, bit of a sidenote, but what would be "best" for Primegrid: sieving n=15 at 5P/day or n=16 at 6.5P/day? Those are the numbers my APU is doing. Both barely use any CPU time and I just don't care about credits, that's not what I'm here for. So I can crunch either of them, if there's a preference for it.

I'd go with n=16 right now. I'm not sure n=15 is worth sieving past where the sieving algorithm slows down at p=18446P and we're already reserved through p=14480P.

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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 97579 - Posted: 10 Aug 2016 | 12:02:14 UTC - in response to Message 97514.

More work done.

And with this, I'm done with n=13, at least for the time being.


Thanks! I updated the list at http://www.primegrid.com/gfn_history13.php. The completist in me would really like to double-check b=3.8M-10M and the b=11.2M-12M that you did before. Anybody fancy a little sieving project?

- Iain
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Discovered the World's First GFN-20 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (20,089,185)Cullen LLR Sapphire: Earned 20,000,000 credits (21,197,588)ESP LLR Sapphire: Earned 20,000,000 credits (20,089,407)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,037,992)PPS LLR Sapphire: Earned 20,000,000 credits (21,124,264)PSP LLR Sapphire: Earned 20,000,000 credits (20,117,197)SoB LLR Sapphire: Earned 20,000,000 credits (21,208,789)SR5 LLR Sapphire: Earned 20,000,000 credits (20,278,667)SGS LLR Sapphire: Earned 20,000,000 credits (20,055,153)TRP LLR Sapphire: Earned 20,000,000 credits (20,619,871)Woodall LLR Sapphire: Earned 20,000,000 credits (20,376,227)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,371,066)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,051,222,753)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,189,695)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,102,079)AP 26/27 Emerald: Earned 50,000,000 credits (60,248,786)GFN Double Ruby: Earned 2,000,000,000 credits (3,811,648,256)PSA Double Bronze: Earned 100,000,000 credits (194,620,077)
Message 97585 - Posted: 10 Aug 2016 | 14:22:51 UTC - in response to Message 97579.

More work done.

And with this, I'm done with n=13, at least for the time being.


Thanks! I updated the list at http://www.primegrid.com/gfn_history13.php. The completist in me would really like to double-check b=3.8M-10M and the b=11.2M-12M that you did before. Anybody fancy a little sieving project?

- Iain


Sure, what the heck.

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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 97587 - Posted: 10 Aug 2016 | 14:49:58 UTC - in response to Message 97579.

The completist in me would really like to double-check b=3.8M-10M and the b=11.2M-12M that you did before.

3.8-10M is way too big, and I can't double check my own work =P

I am interested in doing more n=13, though, if you can somehow make it give credit for the GFN badge rather than having my GPUs do manual sieving for the PSA one. At the rate I'm going, I'll end up finishing the double medal PSA before even getting Sapphire GFN!

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,052,219)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,004,898)PPS LLR Ruby: Earned 2,000,000 credits (2,082,200)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (24,608,301)SR5 LLR Turquoise: Earned 5,000,000 credits (7,371,106)SGS LLR Ruby: Earned 2,000,000 credits (2,010,466)TRP LLR Ruby: Earned 2,000,000 credits (2,433,520)Woodall LLR Ruby: Earned 2,000,000 credits (2,012,392)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (3,632,240)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Turquoise: Earned 5,000,000 credits (7,086,053)GFN Emerald: Earned 50,000,000 credits (52,696,917)PSA Jade: Earned 10,000,000 credits (10,038,118)
Message 97588 - Posted: 10 Aug 2016 | 15:13:06 UTC - in response to Message 97587.

I am interested in doing more n=13, though, if you can somehow make it give credit for the GFN badge.


GFN13 isn't a PrimeGrid project, so there won't be any credit or badges for it. :)

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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 97589 - Posted: 10 Aug 2016 | 15:13:56 UTC - in response to Message 97588.
Last modified: 10 Aug 2016 | 15:15:23 UTC

I am interested in doing more n=13, though, if you can somehow make it give credit for the GFN badge.


GFN13 isn't a PrimeGrid project, so there won't be any credit or badges for it. :)

Yes, I know that. Hence the "somehow" in my wording.

Well, I guess if it went to PRPNet, it would become a project, though it would go into PSA rather than GFN, which wouldn't change my situation anyway.

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,052,219)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,004,898)PPS LLR Ruby: Earned 2,000,000 credits (2,082,200)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (24,608,301)SR5 LLR Turquoise: Earned 5,000,000 credits (7,371,106)SGS LLR Ruby: Earned 2,000,000 credits (2,010,466)TRP LLR Ruby: Earned 2,000,000 credits (2,433,520)Woodall LLR Ruby: Earned 2,000,000 credits (2,012,392)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (3,632,240)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Turquoise: Earned 5,000,000 credits (7,086,053)GFN Emerald: Earned 50,000,000 credits (52,696,917)PSA Jade: Earned 10,000,000 credits (10,038,118)
Message 97591 - Posted: 10 Aug 2016 | 16:08:39 UTC - in response to Message 97589.
Last modified: 10 Aug 2016 | 16:10:17 UTC

Well, I guess if it went to PRPNet


That won't be happening. We have no interest in running even smaller GFN numbers than we're running right now, and ZERO interest in running new projects on a platform that doesn't adequately support double checking.

We put a lot of effort last year into getting all of GFN off of PRPNet. There's no way we'd ever put more GFN projects on PRPNet.
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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 97592 - Posted: 10 Aug 2016 | 16:11:50 UTC - in response to Message 97591.

Well, I guess if it went to PRPNet


That won't be happening. We have no interest in running even smaller GFN numbers than we're running right now, and ZERO interest in running new projects on a platform that doesn't adequately support double checking.

We put a lot of effort last year into getting all of GFN off of PRPNet. There's no way we'd ever put more GFN projects on PRPNet.

From an earlier post on this very thread,
Would be really great if 3.8-10M could be double-checked. Anybody up for it?

Drop it into a PRPNet server and you'd have it done in no time. :)

Your thoughts?

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,052,219)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,004,898)PPS LLR Ruby: Earned 2,000,000 credits (2,082,200)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (24,608,301)SR5 LLR Turquoise: Earned 5,000,000 credits (7,371,106)SGS LLR Ruby: Earned 2,000,000 credits (2,010,466)TRP LLR Ruby: Earned 2,000,000 credits (2,433,520)Woodall LLR Ruby: Earned 2,000,000 credits (2,012,392)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (3,632,240)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Turquoise: Earned 5,000,000 credits (7,086,053)GFN Emerald: Earned 50,000,000 credits (52,696,917)PSA Jade: Earned 10,000,000 credits (10,038,118)
Message 97596 - Posted: 10 Aug 2016 | 17:04:08 UTC - in response to Message 97592.
Last modified: 10 Aug 2016 | 17:04:27 UTC

Drop it into a PRPNet server and you'd have it done in no time. :)

Your thoughts?


Two thoughts:

1) Everyone (including past administrators) are entitled to express their opinions on the forums, provided they don't violate our policies.

2) There are some rather large differences in opinion regarding the value of double checking between some of PrimeGrid's past administrators and the people running it today. In large part that's due to us having better tools, better data, and more experience with this topic, which has led us to completely different conclusions than that of the "old guard". Also some of the prime hunting community thinks "it's better to find primes quickly, even if that means you'll miss some." We don't believe that's a good strategy. For both reasons, we're a lot more insistent on double checking than almost anyone other prime-hunting project I'm aware of.

John's opinions are understandable, but given what we know today we strongly disagree with him on this.

P.S. It's not clear to me if you're continuing to bring this up because you like the conversation, or because you think there's a small chance you'll be able to change our minds. If it's the first, fine. I enjoy chatting about stuff like this. If it's the latter, you might want to save your breath (electrons?) because there's absolutely no chance of this happening. We have a long list of things we want to do, and this not only isn't on the list, it's something we actively don't want to do.
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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 97598 - Posted: 10 Aug 2016 | 17:25:48 UTC - in response to Message 97596.
Last modified: 10 Aug 2016 | 17:27:17 UTC

Two thoughts:

1) Everyone (including past administrators) are entitled to express their opinions on the forums, provided they don't violate our policies.

2) There are some rather large differences in opinion regarding the value of double checking between some of PrimeGrid's past administrators and the people running it today. In large part that's due to us having better tools, better data, and more experience with this topic, which has led us to completely different conclusions than that of the "old guard". Also some of the prime hunting community thinks "it's better to find primes quickly, even if that means you'll miss some." We don't believe that's a good strategy. For both reasons, we're a lot more insistent on double checking than almost anyone other prime-hunting project I'm aware of.

John's opinions are understandable, but given what we know today we strongly disagree with him on this.

Uh.. I think you didn't get what I was trying to say. John was quoting the option of double checking a range that was (apparently) checked already. And when I asked "your thoughts", I meant it as in the possibility of having one of the admin/whatever such as Ian just putting "a port" in because he wants to, given as the wording on John's post made it sound like an easy thing to do (keep in mind, I have no idea how PRPNet works).

I wasn't actually asking your opinion on double checking or using PRPNet, for I've already knew that from previous posts of yours ;)

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,052,219)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,004,898)PPS LLR Ruby: Earned 2,000,000 credits (2,082,200)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (24,608,301)SR5 LLR Turquoise: Earned 5,000,000 credits (7,371,106)SGS LLR Ruby: Earned 2,000,000 credits (2,010,466)TRP LLR Ruby: Earned 2,000,000 credits (2,433,520)Woodall LLR Ruby: Earned 2,000,000 credits (2,012,392)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (3,632,240)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Turquoise: Earned 5,000,000 credits (7,086,053)GFN Emerald: Earned 50,000,000 credits (52,696,917)PSA Jade: Earned 10,000,000 credits (10,038,118)
Message 97601 - Posted: 10 Aug 2016 | 20:49:32 UTC - in response to Message 97598.

Okay... let's be clear and unambiguous. We have no intention of ever running GFN13 or GFN14 on PrimeGrid. That includes PRPNet and manual sieving as well as BOINC.

I'm not sure why you were quoting a message from John -- he hasn't been a PrimeGrid admin for about 4 years now, and we don't necessarily agree on some aspects regarding how PrimeGrid should be run. That's what I was referring to when I was talking about double checking. We value double checking much more than John and Lennart did, and PRPNet doesn't do double checking very well.
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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 97606 - Posted: 10 Aug 2016 | 22:12:28 UTC

To recap, I started doing some of this for fun, and posted it in off topic. I think Iain moved it into the GFN forum where we are now. I recognise it isn't an "official" primegrid project, but there seems to be some level of interest and if it were made easier I think we could do at least first pass in untested and double check other's work relatively quickly, to some interesting if arbitrary b level.

What would make it easier? prpnet still seems logical as a choice, if someone 1, knows how to set it up, and 2, it can be hosted externally to primegrid given its unofficial nature. Sieve has been attempted by several of us, was that for 13 or 14? I can't remember who did what now.

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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 97607 - Posted: 10 Aug 2016 | 22:21:46 UTC - in response to Message 97606.

Sieve has been attempted by several of us, was that for 13 or 14? I can't remember who did what now.

n=13, Sieved to 100P by stream. Not sure if this is the optimal sieve depth. Still, that's what I'm using. Only thing I'm doing with that file is manually removing the square candidates, as we have n=14 results already.

Not sure if he has an n=14 file; gotta ask him about that.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,919,609)Cullen LLR Turquoise: Earned 5,000,000 credits (9,900,172)ESP LLR Turquoise: Earned 5,000,000 credits (9,250,676)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,003,476)PPS LLR Turquoise: Earned 5,000,000 credits (6,331,661)PSP LLR Turquoise: Earned 5,000,000 credits (5,089,560)SoB LLR Turquoise: Earned 5,000,000 credits (5,824,522)SR5 LLR Turquoise: Earned 5,000,000 credits (5,399,087)SGS LLR Turquoise: Earned 5,000,000 credits (5,240,167)TRP LLR Turquoise: Earned 5,000,000 credits (9,911,706)Woodall LLR Turquoise: Earned 5,000,000 credits (5,011,851)Generalized Cullen/Woodall Sieve 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 (50,727,057)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 97624 - Posted: 11 Aug 2016 | 9:13:44 UTC - in response to Message 97607.

Sieve has been attempted by several of us, was that for 13 or 14? I can't remember who did what now.

n=13, Sieved to 100P by stream.

This message contains a link to the file.

Not sure if this is the optimal sieve depth.

Most probably it's not for the full range (101M), but may be quite close for planned subrange of 3-13M. I didn't did exact calculations, though.

Not sure if he has an n=14 file; gotta ask him about that.

No, I didn't sieved this. n=13 still has a lot of candidates to check :) As can be seen from manual sieving stats, I'd completely switched to help preparing extended GFN-15 and -16 sieving.

Those who'll sieve n=14 must remember that initial sieving (few P's, to be sure) must be done by 32-bit program due to bug in 64-bit one, and a bug in 32-bit program limits sieving up range to no more than 1000M (although I don't think we need so much anyway, current genefer limit is 400M)

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Message 97628 - Posted: 11 Aug 2016 | 12:40:18 UTC - in response to Message 97624.

Ignoring suggestions of setting up PRPNet (for most of the reasons Mike mentioned, plus it's overkill for this anyway)...


n=13, Sieved to 100P by stream.

n=13 still has a lot of candidates to check :)


Thanks for that! I count 752,681 candidates in the range b=2.8M-10M.

At about 60s per test (x87) on my machine, that's a total of ~523 core-days of work. Probably a bit less since that was running on a busy machine. OCL3 on my FirePro D700 takes 38s.

In the range b=11.2M-12M there are only 97,392 candidates. Using the same estimates as above, about 68 core-days (or I could knock it off in under a fortnight on my hex-core Xeon).

Stream, do you have a feel for what the factor removal rate was when you stopped sieving? Just trying to get a feel for if it's worth sieving a bit more, or just throwing some CPUs at the tests themselves.

- Iain


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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 97629 - Posted: 11 Aug 2016 | 12:40:27 UTC - in response to Message 97624.

Not sure if this is the optimal sieve depth.

Most probably it's not for the full range (101M), but may be quite close for planned subrange of 3-13M. I didn't did exact calculations, though.

From memory, there wasn't that big a difference in test times on CPU. I think it was the same transform outside of the easy low range stuff which I've done already. There is only a minor speed difference from the increasing values. Having said that, I think we had new transforms implemented on GPU since then so things might be a bit different there. b limit was a problem for the high end, but should be no problem at the low end.

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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 97631 - Posted: 11 Aug 2016 | 14:56:25 UTC - in response to Message 97628.


In the range b=11.2M-12M there are only 97,392 candidates. Using the same estimates as above, about 68 core-days (or I could knock it off in under a fortnight on my hex-core Xeon).


Actually, I've just set up and started testing this range. Should be done before the Paralympics Challenge...

- Iain

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Message 97637 - Posted: 11 Aug 2016 | 21:57:20 UTC - in response to Message 97629.

Not sure if this is the optimal sieve depth.

Most probably it's not for the full range (101M), but may be quite close for planned subrange of 3-13M. I didn't did exact calculations, though.

From memory, there wasn't that big a difference in test times on CPU. I think it was the same transform outside of the easy low range stuff which I've done already. There is only a minor speed difference from the increasing values. Having said that, I think we had new transforms implemented on GPU since then so things might be a bit different there. b limit was a problem for the high end, but should be no problem at the low end.

No, I meant different thing. Since speed of GFN sieving does not depend on range, optimal sieving point depends on how much you're going to crunch. Consider following example:
- sieving (up to 100M) is removing 1000 candidates per day;
- your computer could do 300 genefer tasks per day;
- you're going to crunch 3M-13M range (10M total)

If we're talking about full range, sieving is still far from optimal (1000/300). But if you're planning to run only 10% of the range (3M..13M out of 100M) and no more, only 10% of removed factors will fit into this range - i.e. 100 factors per day, and sieving suddenly becomes not only optimal, but 3 times oversieved (300/100). Yes, it's tricky :)

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,919,609)Cullen LLR Turquoise: Earned 5,000,000 credits (9,900,172)ESP LLR Turquoise: Earned 5,000,000 credits (9,250,676)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,003,476)PPS LLR Turquoise: Earned 5,000,000 credits (6,331,661)PSP LLR Turquoise: Earned 5,000,000 credits (5,089,560)SoB LLR Turquoise: Earned 5,000,000 credits (5,824,522)SR5 LLR Turquoise: Earned 5,000,000 credits (5,399,087)SGS LLR Turquoise: Earned 5,000,000 credits (5,240,167)TRP LLR Turquoise: Earned 5,000,000 credits (9,911,706)Woodall LLR Turquoise: Earned 5,000,000 credits (5,011,851)Generalized Cullen/Woodall Sieve 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 (50,727,057)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 97639 - Posted: 11 Aug 2016 | 22:19:14 UTC - in response to Message 97628.

Stream, do you have a feel for what the factor removal rate was when you stopped sieving? Just trying to get a feel for if it's worth sieving a bit more, or just throwing some CPUs at the tests themselves.

Good that logs are still here. It ended with ~250 factors per hour for 3.8M-101M. If you're planning for b=3.8M-10M and b=11.2M-12M, it's only 7,22% so no more then 18 factors per hour. Even if your PC is two times faster then mine, it seems to be already oversieved for your subrange.

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Message 97644 - Posted: 12 Aug 2016 | 8:21:09 UTC - in response to Message 97639.

[quote]Even if your PC is two times faster then mine, it seems to be already oversieved for your subrange.


Great, thanks for the info!
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Credit: 191,554,784
RAC: 69,447
321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 97902 - Posted: 22 Aug 2016 | 8:09:29 UTC

So I completed the double-check of b=11.2M-12M for n=13. Didn't find any missed primes, but that was expected! It took just over 11.5 days on my hex-core Xeon.

The range 3.8M-10M is perhaps more interesting, since it was first checked by a group of people over 10 years ago, I suspect there is more chance of finding some missed primes. Certainly, mackerel found some some with DC efforts on earlier ranges. However, this range would be nearly 3 months work for me to do alone - anyone interested in joining? I will probably start after the upcoming challenge.

- Iain
____________
Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

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Joined: 13 Feb 12
Posts: 2252
ID: 130544
Credit: 620,501,386
RAC: 254,537
Found 2 primes in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,008,573)Cullen LLR Turquoise: Earned 5,000,000 credits (5,005,909)ESP LLR Turquoise: Earned 5,000,000 credits (5,003,216)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,004,937)PPS LLR Ruby: Earned 2,000,000 credits (3,285,947)PSP LLR Ruby: Earned 2,000,000 credits (3,998,562)SoB LLR Turquoise: Earned 5,000,000 credits (8,031,952)SR5 LLR Ruby: Earned 2,000,000 credits (3,004,172)SGS LLR Ruby: Earned 2,000,000 credits (2,555,530)TRP LLR Ruby: Earned 2,000,000 credits (3,000,132)Woodall LLR Ruby: Earned 2,000,000 credits (2,988,875)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (268,250)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (10,000,502)PPS Sieve Double Silver: Earned 200,000,000 credits (266,666,326)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,133)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,970)AP 26/27 Emerald: Earned 50,000,000 credits (94,990,285)GFN Emerald: Earned 50,000,000 credits (91,687,115)PSA Emerald: Earned 50,000,000 credits (90,000,001)
Message 97907 - Posted: 22 Aug 2016 | 11:59:47 UTC

Iain

I'm willing to give it a go.

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 97911 - Posted: 22 Aug 2016 | 17:19:12 UTC - in response to Message 97902.

I really should stop being lazy and get the offline systems online again...

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Joined: 22 Oct 14
Posts: 823
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Credit: 222,553,546
RAC: 570,238
321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 97921 - Posted: 23 Aug 2016 | 8:29:58 UTC - in response to Message 97902.

However, this range would be nearly 3 months work for me to do alone - anyone interested in joining? I will probably start after the upcoming challenge.

- Iain

Well... fine, gimme a 0.5M range and I guess I'll run it on my mighty Pentium.

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Joined: 28 Jan 09
Posts: 1586
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Credit: 191,554,784
RAC: 69,447
321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 98090 - Posted: 25 Aug 2016 | 21:23:43 UTC
Last modified: 17 Oct 2016 | 11:46:43 UTC

OK, I have broken up the range 3.8M-10M into 0.5M chunks (except 3.8M-4.0M, which is 0.2M). They are all roughly the same size. A tar file containing each of the chunks can be downloaded from http://www.epcc.ed.ac.uk/~ibethune/files/n13_ranges.tar.gz

Each range is in a file which denotes the starting b i.e. the file '4.5' contains candidates between 4.5M and 5.0M. Please post here if you want to reserve a range. I will update this post with the allocations. Please post the results of your searching, especially any missed primes. Happy hunting!

Range reservations:

3.8M-4.0M : Rafael (10 known primes, 7 new primes found) 4.0M-4.5M : Lumiukko (29 known primes found) 4.5M-5.0M : mackerel (24 known primes found) 5.0M-5.5M : Lumiukko (27 known primes found) 5.5M-6.0M : Lumiukko (24 known primes, 4 new primes found) 6.0M-6.5M : mackerel (28 known primes, 3 new primes found) 6.5M-7.0M : Lumiukko (29 known primes found) 7.0M-7.5M : Lumiukko (30 known primes found) 7.5M-8.0M : Iain (36 known primes found) 8.0M-8.5M : Iain (39 known primes found) 8.5M-9.0M : Iain (29 known primes found) 9.0M-9.5M : Iain (32 known primes found) 9.5M-10M : Iain (22 known primes found)


- Iain
____________
Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

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Joined: 22 Oct 14
Posts: 823
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Credit: 222,553,546
RAC: 570,238
321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 98091 - Posted: 25 Aug 2016 | 21:44:17 UTC

I'll get that 3,8-4 range then. Should be done in about 2 weeks, if power doesn't go out and my pentium stops crunching.

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Credit: 539,890,607
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,169,315)Cullen LLR Turquoise: Earned 5,000,000 credits (7,636,167)ESP LLR Turquoise: Earned 5,000,000 credits (5,825,069)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,030,643)PPS LLR Turquoise: Earned 5,000,000 credits (7,424,564)PSP LLR Turquoise: Earned 5,000,000 credits (8,140,240)SoB LLR Sapphire: Earned 20,000,000 credits (21,819,213)SR5 LLR Turquoise: Earned 5,000,000 credits (6,418,342)SGS LLR Turquoise: Earned 5,000,000 credits (5,209,708)TPS LLR (retired) Bronze: Earned 10,000 credits (22,572)TRP LLR Jade: Earned 10,000,000 credits (11,088,979)Woodall LLR Turquoise: Earned 5,000,000 credits (7,714,779)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,863,629)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,878,933)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (6,055,601)PPS Sieve Emerald: Earned 50,000,000 credits (62,581,954)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,018,273)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,752,023)AP 26/27 Emerald: Earned 50,000,000 credits (54,818,198)GFN Emerald: Earned 50,000,000 credits (85,535,595)PSA Double Silver: Earned 200,000,000 credits (218,887,633)
Message 98165 - Posted: 27 Aug 2016 | 8:05:24 UTC
Last modified: 27 Aug 2016 | 8:05:42 UTC

I take that 4.0M-4.5M range.


--
Lumiukko

Iain BethuneProject donor
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Joined: 28 Jan 09
Posts: 1586
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Credit: 191,554,784
RAC: 69,447
321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 98385 - Posted: 2 Sep 2016 | 8:57:37 UTC

Finished the 9.5M-10M range, found all 22 expected primes and nothing new :(

I'll start on the 9.0M-9.5M range after the challenge.

Cheers

- Iain

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Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

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Joined: 2 Oct 08
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Credit: 268,139,734
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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 98597 - Posted: 7 Sep 2016 | 14:27:54 UTC
Last modified: 7 Sep 2016 | 14:41:24 UTC

Starting 4.5M-5.0M range.

Estimated time to complete: 2 weeks.

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Joined: 7 Jul 08
Posts: 147
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RAC: 268,161
Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,169,315)Cullen LLR Turquoise: Earned 5,000,000 credits (7,636,167)ESP LLR Turquoise: Earned 5,000,000 credits (5,825,069)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,030,643)PPS LLR Turquoise: Earned 5,000,000 credits (7,424,564)PSP LLR Turquoise: Earned 5,000,000 credits (8,140,240)SoB LLR Sapphire: Earned 20,000,000 credits (21,819,213)SR5 LLR Turquoise: Earned 5,000,000 credits (6,418,342)SGS LLR Turquoise: Earned 5,000,000 credits (5,209,708)TPS LLR (retired) Bronze: Earned 10,000 credits (22,572)TRP LLR Jade: Earned 10,000,000 credits (11,088,979)Woodall LLR Turquoise: Earned 5,000,000 credits (7,714,779)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,863,629)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,878,933)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (6,055,601)PPS Sieve Emerald: Earned 50,000,000 credits (62,581,954)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,018,273)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,752,023)AP 26/27 Emerald: Earned 50,000,000 credits (54,818,198)GFN Emerald: Earned 50,000,000 credits (85,535,595)PSA Double Silver: Earned 200,000,000 credits (218,887,633)
Message 98660 - Posted: 8 Sep 2016 | 21:35:31 UTC

Finished 4.0M-4.5M range, found 29 primes but no new ones.

4017872^8192+1
4046902^8192+1
4078568^8192+1
4087678^8192+1
4101420^8192+1
4127328^8192+1
4139380^8192+1
4188094^8192+1
4191168^8192+1
4218226^8192+1
4221086^8192+1
4239916^8192+1
4251142^8192+1
4262848^8192+1
4309750^8192+1
4329594^8192+1
4350504^8192+1
4356244^8192+1
4384154^8192+1
4408674^8192+1
4429082^8192+1
4429594^8192+1
4464300^8192+1
4465490^8192+1
4475536^8192+1
4483362^8192+1
4486442^8192+1
4496692^8192+1
4499488^8192+1

--
Lumiukko

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Joined: 7 Jul 08
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ID: 25183
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,169,315)Cullen LLR Turquoise: Earned 5,000,000 credits (7,636,167)ESP LLR Turquoise: Earned 5,000,000 credits (5,825,069)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,030,643)PPS LLR Turquoise: Earned 5,000,000 credits (7,424,564)PSP LLR Turquoise: Earned 5,000,000 credits (8,140,240)SoB LLR Sapphire: Earned 20,000,000 credits (21,819,213)SR5 LLR Turquoise: Earned 5,000,000 credits (6,418,342)SGS LLR Turquoise: Earned 5,000,000 credits (5,209,708)TPS LLR (retired) Bronze: Earned 10,000 credits (22,572)TRP LLR Jade: Earned 10,000,000 credits (11,088,979)Woodall LLR Turquoise: Earned 5,000,000 credits (7,714,779)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,863,629)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,878,933)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (6,055,601)PPS Sieve Emerald: Earned 50,000,000 credits (62,581,954)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,018,273)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,752,023)AP 26/27 Emerald: Earned 50,000,000 credits (54,818,198)GFN Emerald: Earned 50,000,000 credits (85,535,595)PSA Double Silver: Earned 200,000,000 credits (218,887,633)
Message 98661 - Posted: 8 Sep 2016 | 21:49:03 UTC

I take 5.0M-5.5M range next.

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Credit: 222,553,546
RAC: 570,238
321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 98922 - Posted: 17 Sep 2016 | 17:47:18 UTC

Behold! 3.8-4.0M is done. Seems like 3.9-4.0 range was properly done, for I've found no new primes there.... HOWEVER, the 3.8-3.9 appears to have been rushed, for we now know of 7 new primes (confirmed with PFGW)! Look, aren't they adorable little babies?

3823742^8192+1
3832518^8192+1
3842028^8192+1
3859880^8192+1
3870530^8192+1
3873848^8192+1
3882502^8192+1

Residues can be found here: https://mega.nz/#!eRMDiLCB!kSlprErl0d7fXL8Ow-kWiLQ4sqOZOz5TCymmz_ChAgM

Eventually, I intend to do more work on N13. For now, I'll be focusing my CPU efforts on TRP-SV. I'm also sieving 100M-400M up to 100P, to match the 0-100M file we have before sieving that any further, which is also on my list... this will take a while......

Iain BethuneProject donor
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Joined: 28 Jan 09
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Credit: 191,554,784
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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 98925 - Posted: 17 Sep 2016 | 20:00:01 UTC - in response to Message 98922.

7 new primes (confirmed with PFGW)! Look, aren't they adorable little babies?

3823742^8192+1
3832518^8192+1
3842028^8192+1
3859880^8192+1
3870530^8192+1
3873848^8192+1
3882502^8192+1


That's great, nice to see that double-checking is worthwhile!

- Iain

____________
Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

Iain BethuneProject donor
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Joined: 28 Jan 09
Posts: 1586
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Credit: 191,554,784
RAC: 69,447
321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 98926 - Posted: 17 Sep 2016 | 20:04:52 UTC

I also just completed the 9.0-9.5M range. Nothing new found, now starting on 8.5-9.0M.

- Iain
____________
Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

LumiukkoProject donor
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Joined: 7 Jul 08
Posts: 147
ID: 25183
Credit: 539,890,607
RAC: 268,161
Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,169,315)Cullen LLR Turquoise: Earned 5,000,000 credits (7,636,167)ESP LLR Turquoise: Earned 5,000,000 credits (5,825,069)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,030,643)PPS LLR Turquoise: Earned 5,000,000 credits (7,424,564)PSP LLR Turquoise: Earned 5,000,000 credits (8,140,240)SoB LLR Sapphire: Earned 20,000,000 credits (21,819,213)SR5 LLR Turquoise: Earned 5,000,000 credits (6,418,342)SGS LLR Turquoise: Earned 5,000,000 credits (5,209,708)TPS LLR (retired) Bronze: Earned 10,000 credits (22,572)TRP LLR Jade: Earned 10,000,000 credits (11,088,979)Woodall LLR Turquoise: Earned 5,000,000 credits (7,714,779)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,863,629)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,878,933)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (6,055,601)PPS Sieve Emerald: Earned 50,000,000 credits (62,581,954)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,018,273)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,752,023)AP 26/27 Emerald: Earned 50,000,000 credits (54,818,198)GFN Emerald: Earned 50,000,000 credits (85,535,595)PSA Double Silver: Earned 200,000,000 credits (218,887,633)
Message 98939 - Posted: 18 Sep 2016 | 21:09:43 UTC

Finished 5.0M-5.5M range, found 27 primes but no new ones.

5009176^8192+1
5027498^8192+1
5041492^8192+1
5051948^8192+1
5081690^8192+1
5107658^8192+1
5125774^8192+1
5152370^8192+1
5156120^8192+1
5178732^8192+1
5181526^8192+1
5216394^8192+1
5218482^8192+1
5221918^8192+1
5223142^8192+1
5230434^8192+1
5258822^8192+1
5294894^8192+1
5296918^8192+1
5298998^8192+1
5300438^8192+1
5303404^8192+1
5346362^8192+1
5386682^8192+1
5408588^8192+1
5479292^8192+1
5483578^8192+1

Residues are here

I take the 5.5M - 6.0M next.

--
Lumiukko

mackerelProject donor
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Joined: 2 Oct 08
Posts: 2025
ID: 29980
Credit: 268,139,734
RAC: 193,312
Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 98946 - Posted: 19 Sep 2016 | 13:12:33 UTC

Range 4.5M-5.0M testing complete. Know primes were rediscovered. No new primes found. Result logs to follow.

mackerelProject donor
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Joined: 2 Oct 08
Posts: 2025
ID: 29980
Credit: 268,139,734
RAC: 193,312
Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 99078 - Posted: 23 Sep 2016 | 14:59:25 UTC - in response to Message 98946.

Starting 6.0 - 6.5M.

I haven't forgotten about the logs for last range but do give me a kick if they're needed in a hurry.

LumiukkoProject donor
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Joined: 7 Jul 08
Posts: 147
ID: 25183
Credit: 539,890,607
RAC: 268,161
Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,169,315)Cullen LLR Turquoise: Earned 5,000,000 credits (7,636,167)ESP LLR Turquoise: Earned 5,000,000 credits (5,825,069)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,030,643)PPS LLR Turquoise: Earned 5,000,000 credits (7,424,564)PSP LLR Turquoise: Earned 5,000,000 credits (8,140,240)SoB LLR Sapphire: Earned 20,000,000 credits (21,819,213)SR5 LLR Turquoise: Earned 5,000,000 credits (6,418,342)SGS LLR Turquoise: Earned 5,000,000 credits (5,209,708)TPS LLR (retired) Bronze: Earned 10,000 credits (22,572)TRP LLR Jade: Earned 10,000,000 credits (11,088,979)Woodall LLR Turquoise: Earned 5,000,000 credits (7,714,779)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,863,629)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,878,933)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (6,055,601)PPS Sieve Emerald: Earned 50,000,000 credits (62,581,954)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,018,273)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,752,023)AP 26/27 Emerald: Earned 50,000,000 credits (54,818,198)GFN Emerald: Earned 50,000,000 credits (85,535,595)PSA Double Silver: Earned 200,000,000 credits (218,887,633)
Message 99101 - Posted: 24 Sep 2016 | 12:39:00 UTC

Finished 5.5M-6.0M range, found 24 known primes and 4 new ones:

5535402^8192+1
5549252^8192+1
5586600^8192+1
5589752^8192+1
5637988^8192+1
5661390^8192+1
5679714^8192+1
5686808^8192+1
5706276^8192+1
5707178^8192+1
5728930^8192+1
5741876^8192+1
5745762^8192+1
5751776^8192+1
5752952^8192+1 new
5755882^8192+1
5766300^8192+1
5772854^8192+1
5798192^8192+1
5812350^8192+1
5823376^8192+1
5825726^8192+1
5904560^8192+1 new
5909246^8192+1
5934360^8192+1 new
5946402^8192+1 new
5957140^8192+1
5965110^8192+1


Residues are here

I take the 6.5M - 7.0M next.

--
Lumiukko

Iain BethuneProject donor
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Joined: 28 Jan 09
Posts: 1586
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Credit: 191,554,784
RAC: 69,447
321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 99111 - Posted: 24 Sep 2016 | 18:03:15 UTC

I have also just finished 8.5M-9M, found all 29 known primes. How come you guys get all the interesting ranges? Onwards to 8.0-8.5M (then break for the challenge, probably).

- Iain
____________
Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

LumiukkoProject donor
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Joined: 7 Jul 08
Posts: 147
ID: 25183
Credit: 539,890,607
RAC: 268,161
Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,169,315)Cullen LLR Turquoise: Earned 5,000,000 credits (7,636,167)ESP LLR Turquoise: Earned 5,000,000 credits (5,825,069)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,030,643)PPS LLR Turquoise: Earned 5,000,000 credits (7,424,564)PSP LLR Turquoise: Earned 5,000,000 credits (8,140,240)SoB LLR Sapphire: Earned 20,000,000 credits (21,819,213)SR5 LLR Turquoise: Earned 5,000,000 credits (6,418,342)SGS LLR Turquoise: Earned 5,000,000 credits (5,209,708)TPS LLR (retired) Bronze: Earned 10,000 credits (22,572)TRP LLR Jade: Earned 10,000,000 credits (11,088,979)Woodall LLR Turquoise: Earned 5,000,000 credits (7,714,779)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,863,629)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,878,933)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (6,055,601)PPS Sieve Emerald: Earned 50,000,000 credits (62,581,954)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,018,273)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,752,023)AP 26/27 Emerald: Earned 50,000,000 credits (54,818,198)GFN Emerald: Earned 50,000,000 credits (85,535,595)PSA Double Silver: Earned 200,000,000 credits (218,887,633)
Message 99266 - Posted: 29 Sep 2016 | 16:52:59 UTC

Finished 6.5M-7.0M range, found 29 known primes but no new ones:

6560464^8192+1
6563468^8192+1
6567220^8192+1
6575922^8192+1
6581858^8192+1
6597250^8192+1
6618952^8192+1
6624360^8192+1
6629058^8192+1
6659388^8192+1
6682202^8192+1
6689170^8192+1
6693148^8192+1
6702034^8192+1
6743868^8192+1
6755756^8192+1
6755760^8192+1
6808742^8192+1
6812304^8192+1
6838728^8192+1
6845988^8192+1
6849418^8192+1
6857376^8192+1
6906040^8192+1
6916408^8192+1
6928008^8192+1
6943112^8192+1
6958228^8192+1
6989286^8192+1

Residues are here

I take the 7.0M - 7.5M next.

--
Lumiukko

mackerelProject donor
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Joined: 2 Oct 08
Posts: 2025
ID: 29980
Credit: 268,139,734
RAC: 193,312
Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 99280 - Posted: 30 Sep 2016 | 10:40:31 UTC

Finished testing 6.0M-6.5M. 28 known primes rediscovered. 3 new primes discovered and checked with pfgw.

6103816^8192+1
6119262^8192+1
6128272^8192+1

https://drive.google.com/file/d/0B8GpiULT5O5fb0JJQ0k2dEJSbW8/view?usp=sharing
https://drive.google.com/file/d/0B8GpiULT5O5fT29OT2hCSUtsTlU/view?usp=sharing

Links above to residues, first for 4.5M-5.0M, second for 6.0M-6.5M.

Iain BethuneProject donor
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Credit: 191,554,784
RAC: 69,447
321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 99281 - Posted: 30 Sep 2016 | 11:30:21 UTC - in response to Message 99280.

3 new primes discovered and checked with pfgw.

6103816^8192+1
6119262^8192+1
6128272^8192+1



Great - I'm glad we went back and looked at this range :)
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Twitter: IainBethune
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3073428256125*2^1290000-1 is Prime!

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Joined: 28 Jan 09
Posts: 1586
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Credit: 191,554,784
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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 99372 - Posted: 3 Oct 2016 | 7:11:24 UTC

Finished 8-8.5M, only found the expected 39 primes...

I'll take the last range, after the SGS challenge.

- Iain

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3073428256125*2^1290000-1 is Prime!

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Posts: 147
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Credit: 539,890,607
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,169,315)Cullen LLR Turquoise: Earned 5,000,000 credits (7,636,167)ESP LLR Turquoise: Earned 5,000,000 credits (5,825,069)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,030,643)PPS LLR Turquoise: Earned 5,000,000 credits (7,424,564)PSP LLR Turquoise: Earned 5,000,000 credits (8,140,240)SoB LLR Sapphire: Earned 20,000,000 credits (21,819,213)SR5 LLR Turquoise: Earned 5,000,000 credits (6,418,342)SGS LLR Turquoise: Earned 5,000,000 credits (5,209,708)TPS LLR (retired) Bronze: Earned 10,000 credits (22,572)TRP LLR Jade: Earned 10,000,000 credits (11,088,979)Woodall LLR Turquoise: Earned 5,000,000 credits (7,714,779)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,863,629)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,878,933)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (6,055,601)PPS Sieve Emerald: Earned 50,000,000 credits (62,581,954)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,018,273)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,752,023)AP 26/27 Emerald: Earned 50,000,000 credits (54,818,198)GFN Emerald: Earned 50,000,000 credits (85,535,595)PSA Double Silver: Earned 200,000,000 credits (218,887,633)
Message 99528 - Posted: 4 Oct 2016 | 20:56:11 UTC

Finished 7.0M-7.5M range. Only 30 already known primes were found:

7008986^8192+1
7041042^8192+1
7069626^8192+1
7077852^8192+1
7098696^8192+1
7103550^8192+1
7119174^8192+1
7147046^8192+1
7147352^8192+1
7147688^8192+1
7168712^8192+1
7211184^8192+1
7267486^8192+1
7267818^8192+1
7277288^8192+1
7286210^8192+1
7305234^8192+1
7325600^8192+1
7333990^8192+1
7342950^8192+1
7352812^8192+1
7359734^8192+1
7363162^8192+1
7394142^8192+1
7414366^8192+1
7441648^8192+1
7443078^8192+1
7461158^8192+1
7470684^8192+1
7490258^8192+1


Residues are here.

--
Lumiukko

Iain BethuneProject donor
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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 99910 - Posted: 17 Oct 2016 | 12:07:23 UTC

So I completed the final range, finding no new primes again. All of the residues for the ranges I tested can be found here. I have updated the list of known n=13 GFN primes.

Thanks for all your help filling in this gap. There is plenty more work if anyone fancies it (e.g. up to b=15M), but I will concentrate on some other projects for a bit!

- Iain
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Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

mackerelProject donor
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Joined: 2 Oct 08
Posts: 2025
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Credit: 268,139,734
RAC: 193,312
Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 99940 - Posted: 18 Oct 2016 | 8:27:22 UTC - in response to Message 99910.

I would be interested in taking this higher (to 100M) but it is at the point where I can't manually manage systems to do so. I had a look at PRPnet and don't feel I would be able to set up and maintain one with a reasonable amount of effort at my skill level. Would anyone like to volunteer and set one up? I know it has been previously stated this would not become an official PrimeGrid project, and I would be fine with that as I'm not in it for the stats or credits.

Iain some minor corrections for the page. Range 100.22M to 101M you write as being double checked but it is single pass only. And in range 3.8M-10M I'm incorrectly listed as Stephen not Steven.

Iain BethuneProject donor
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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (13,714,070)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 99941 - Posted: 18 Oct 2016 | 9:52:07 UTC - in response to Message 99940.

I would be interested in taking this higher (to 100M) but it is at the point where I can't manually manage systems to do so. I had a look at PRPnet and don't feel I would be able to set up and maintain one with a reasonable amount of effort at my skill level. Would anyone like to volunteer and set one up? I know it has been previously stated this would not become an official PrimeGrid project, and I would be fine with that as I'm not in it for the stats or credits.


Personally, I'm not interested in setting up a prpserver either. If someone else wants to, of course that's fine but I think the main thing is to ensure that no gaps are left and actually it's suprisingly easy for prpnet to accept invalid test results. Manually running short (or maybe larger) ranges seems to be the best balance between thoroughness and admin burden IMO.


Iain some minor corrections for the page. Range 100.22M to 101M you write as being double checked but it is single pass only. And in range 3.8M-10M I'm incorrectly listed as Stephen not Steven.


Thanks, fixed those.

- Iain
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Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

mackerelProject donor
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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 99946 - Posted: 18 Oct 2016 | 11:00:40 UTC - in response to Message 99941.

Part of what scares me about PRPnet is the SQL side... I have no idea how to handle that. I was even thinking if LLRnet could be adapted... :)

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,919,609)Cullen LLR Turquoise: Earned 5,000,000 credits (9,900,172)ESP LLR Turquoise: Earned 5,000,000 credits (9,250,676)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,003,476)PPS LLR Turquoise: Earned 5,000,000 credits (6,331,661)PSP LLR Turquoise: Earned 5,000,000 credits (5,089,560)SoB LLR Turquoise: Earned 5,000,000 credits (5,824,522)SR5 LLR Turquoise: Earned 5,000,000 credits (5,399,087)SGS LLR Turquoise: Earned 5,000,000 credits (5,240,167)TRP LLR Turquoise: Earned 5,000,000 credits (9,911,706)Woodall LLR Turquoise: Earned 5,000,000 credits (5,011,851)Generalized Cullen/Woodall Sieve 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 (50,727,057)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 99947 - Posted: 18 Oct 2016 | 12:06:03 UTC - in response to Message 99940.

I would be interested in taking this higher (to 100M) but it is at the point where I can't manually manage systems to do so.

I have a private Boinc server running for my own purposes. Theoretically, I could integrate this project too, if at least few peoples request it. I could write verification (double-checking) helpers as well. I should note that by obvious reasons it'll be no more unique "range checked by..." entries with your names, credits will be shared between all participants. Anybody interested?

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 99948 - Posted: 18 Oct 2016 | 12:24:50 UTC - in response to Message 99947.

I hadn't considered using BOINC, and that would be even better from my perspective as even easier to manage than PRPnet.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,919,609)Cullen LLR Turquoise: Earned 5,000,000 credits (9,900,172)ESP LLR Turquoise: Earned 5,000,000 credits (9,250,676)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,003,476)PPS LLR Turquoise: Earned 5,000,000 credits (6,331,661)PSP LLR Turquoise: Earned 5,000,000 credits (5,089,560)SoB LLR Turquoise: Earned 5,000,000 credits (5,824,522)SR5 LLR Turquoise: Earned 5,000,000 credits (5,399,087)SGS LLR Turquoise: Earned 5,000,000 credits (5,240,167)TRP LLR Turquoise: Earned 5,000,000 credits (9,911,706)Woodall LLR Turquoise: Earned 5,000,000 credits (5,011,851)Generalized Cullen/Woodall Sieve 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 (50,727,057)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 99952 - Posted: 18 Oct 2016 | 15:01:59 UTC - in response to Message 99948.

I hadn't considered using BOINC, and that would be even better from my perspective as even easier to manage than PRPnet.

Well, for safety of double-checking, at least 3 peoples are needed to participate (I think each result must be confirmed by different user, and I'm NOT in right now). Running it with 2 users seems unsafe to me because progress will be determined by speed of slowest participant. Also peoples may have reasons to abort this project in the middle. In any case, I could setup a simple one-pass job distribution server for your personally.

Let's wait for other replies.

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Discovered the World's First GFN-20 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (20,089,185)Cullen LLR Sapphire: Earned 20,000,000 credits (21,197,588)ESP LLR Sapphire: Earned 20,000,000 credits (20,089,407)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,037,992)PPS LLR Sapphire: Earned 20,000,000 credits (21,124,264)PSP LLR Sapphire: Earned 20,000,000 credits (20,117,197)SoB LLR Sapphire: Earned 20,000,000 credits (21,208,789)SR5 LLR Sapphire: Earned 20,000,000 credits (20,278,667)SGS LLR Sapphire: Earned 20,000,000 credits (20,055,153)TRP LLR Sapphire: Earned 20,000,000 credits (20,619,871)Woodall LLR Sapphire: Earned 20,000,000 credits (20,376,227)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,371,066)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,051,222,753)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,189,695)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,102,079)AP 26/27 Emerald: Earned 50,000,000 credits (60,248,786)GFN Double Ruby: Earned 2,000,000,000 credits (3,811,648,256)PSA Double Bronze: Earned 100,000,000 credits (194,620,077)
Message 99953 - Posted: 18 Oct 2016 | 15:05:50 UTC - in response to Message 99952.

If you need someone else, count me in.

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,052,219)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,004,898)PPS LLR Ruby: Earned 2,000,000 credits (2,082,200)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (24,608,301)SR5 LLR Turquoise: Earned 5,000,000 credits (7,371,106)SGS LLR Ruby: Earned 2,000,000 credits (2,010,466)TRP LLR Ruby: Earned 2,000,000 credits (2,433,520)Woodall LLR Ruby: Earned 2,000,000 credits (2,012,392)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (3,632,240)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Turquoise: Earned 5,000,000 credits (7,086,053)GFN Emerald: Earned 50,000,000 credits (52,696,917)PSA Jade: Earned 10,000,000 credits (10,038,118)
Message 99955 - Posted: 18 Oct 2016 | 15:24:52 UTC - in response to Message 99952.

I hadn't considered using BOINC, and that would be even better from my perspective as even easier to manage than PRPnet.

Well, for safety of double-checking, at least 3 peoples are needed to participate (I think each result must be confirmed by different user, and I'm NOT in right now). Running it with 2 users seems unsafe to me because progress will be determined by speed of slowest participant. Also peoples may have reasons to abort this project in the middle. In any case, I could setup a simple one-pass job distribution server for your personally.

Let's wait for other replies.


One thing you'll need to watch out for with a limited number of participants is that when you have it set to require a second user to verify, if single user is doing a large percentage of the tasks, the shmem slots will quickly get filled up with tasks where he's already the wingman and he won't be able to get any tasks at all.

Even PrimeGrid has trouble with this sometimes, and there's no really good fix for it.

Plus you'll have all the problems that come with running a public BOINC server -- users that download a thousand tasks and then detach, user support questions from very knowledgeable people with really difficult problems, questions from users who have never crunched before, users who couldn't care less about what you're doing, but are just looking for more WUProp badges, etc.

You *can* set up the server to be invitation-only, of course.

You might want to ask Rebirther what his experience has been like. He'll probably have some good advice, should you decide to set up a public server.
____________
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My lucky number is 75898524288+1

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,169,315)Cullen LLR Turquoise: Earned 5,000,000 credits (7,636,167)ESP LLR Turquoise: Earned 5,000,000 credits (5,825,069)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,030,643)PPS LLR Turquoise: Earned 5,000,000 credits (7,424,564)PSP LLR Turquoise: Earned 5,000,000 credits (8,140,240)SoB LLR Sapphire: Earned 20,000,000 credits (21,819,213)SR5 LLR Turquoise: Earned 5,000,000 credits (6,418,342)SGS LLR Turquoise: Earned 5,000,000 credits (5,209,708)TPS LLR (retired) Bronze: Earned 10,000 credits (22,572)TRP LLR Jade: Earned 10,000,000 credits (11,088,979)Woodall LLR Turquoise: Earned 5,000,000 credits (7,714,779)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,863,629)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,878,933)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (6,055,601)PPS Sieve Emerald: Earned 50,000,000 credits (62,581,954)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,018,273)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,752,023)AP 26/27 Emerald: Earned 50,000,000 credits (54,818,198)GFN Emerald: Earned 50,000,000 credits (85,535,595)PSA Double Silver: Earned 200,000,000 credits (218,887,633)
Message 99970 - Posted: 18 Oct 2016 | 18:52:45 UTC

You can count me also.

--
Lumiukko

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Discovered 2 mega primesEliminated 1 conjecture "k"Found 3 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (7,124,499)Cullen LLR Turquoise: Earned 5,000,000 credits (5,149,818)ESP LLR Turquoise: Earned 5,000,000 credits (5,439,896)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,220,326)PPS LLR Sapphire: Earned 20,000,000 credits (36,188,589)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (10,478,064)SR5 LLR Jade: Earned 10,000,000 credits (17,003,357)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Turquoise: Earned 5,000,000 credits (8,739,858)Woodall LLR Ruby: Earned 2,000,000 credits (4,680,045)321 Sieve (suspended) Silver: Earned 100,000 credits (203,937)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,281,267)PPS Sieve Emerald: Earned 50,000,000 credits (74,140,875)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,293,882)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,012,757)AP 26/27 Jade: Earned 10,000,000 credits (17,576,712)GFN Sapphire: Earned 20,000,000 credits (25,566,810)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 99972 - Posted: 18 Oct 2016 | 19:26:32 UTC

If BOINC goes ahead, and double-check becomes a problem, then heavy hitters may consider splitting their resources into two accounts. I know it is preferred to have units done by different people, but at least this way it will still be done on different hardware (assuming it isn't two separate VMs on one box or something like that).

Also, I was looking at my earlier posts on this thread. It may require further investigation but those notes suggest pfgw PRP is significantly faster than genefer on Skylake CPUs. Genefer was faster on older (non-AVX2) hardware. If this was done on PRPnet then at least the user could easily choose the app. I assume residues from pfgw and genefer wont be compatible. I should repeat the testing with latest versions of those apps to make sure on the performance differences.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,919,609)Cullen LLR Turquoise: Earned 5,000,000 credits (9,900,172)ESP LLR Turquoise: Earned 5,000,000 credits (9,250,676)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,003,476)PPS LLR Turquoise: Earned 5,000,000 credits (6,331,661)PSP LLR Turquoise: Earned 5,000,000 credits (5,089,560)SoB LLR Turquoise: Earned 5,000,000 credits (5,824,522)SR5 LLR Turquoise: Earned 5,000,000 credits (5,399,087)SGS LLR Turquoise: Earned 5,000,000 credits (5,240,167)TRP LLR Turquoise: Earned 5,000,000 credits (9,911,706)Woodall LLR Turquoise: Earned 5,000,000 credits (5,011,851)Generalized Cullen/Woodall Sieve 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 (50,727,057)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 99981 - Posted: 18 Oct 2016 | 21:46:28 UTC - in response to Message 99972.

If BOINC goes ahead, and double-check becomes a problem, then heavy hitters may consider splitting their resources into two accounts. I know it is preferred to have units done by different people, but at least this way it will still be done on different hardware (assuming it isn't two separate VMs on one box or something like that).

The server could be setup in either "confirmed by different user" either "confirmed by different host" modes. Second option make confirmation simpler but I'm not sure how safe it is; sometimes same PC will get different host ID - e.g. if OS was changed/dual booted or Boinc configured to use different data directory.

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,919,609)Cullen LLR Turquoise: Earned 5,000,000 credits (9,900,172)ESP LLR Turquoise: Earned 5,000,000 credits (9,250,676)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,003,476)PPS LLR Turquoise: Earned 5,000,000 credits (6,331,661)PSP LLR Turquoise: Earned 5,000,000 credits (5,089,560)SoB LLR Turquoise: Earned 5,000,000 credits (5,824,522)SR5 LLR Turquoise: Earned 5,000,000 credits (5,399,087)SGS LLR Turquoise: Earned 5,000,000 credits (5,240,167)TRP LLR Turquoise: Earned 5,000,000 credits (9,911,706)Woodall LLR Turquoise: Earned 5,000,000 credits (5,011,851)Generalized Cullen/Woodall Sieve 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 (50,727,057)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 99983 - Posted: 18 Oct 2016 | 22:01:41 UTC - in response to Message 99955.

One thing you'll need to watch out for with a limited number of participants is that when you have it set to require a second user to verify, if single user is doing a large percentage of the tasks, the shmem slots will quickly get filled up with tasks where he's already the wingman and he won't be able to get any tasks at all.

Ah. Understood. Thanks for a tip.

Also there must be some checks for NVIDIA driver buggy versions, right? I don't remember was GFN affected or not. And probably nobody tried to reproduce the bug with GFN-13.


Plus you'll have all the problems that come with running a public BOINC server -- users that download a thousand tasks and then detach, user support questions from very knowledgeable people with really difficult problems, questions from users who have never crunched before, users who couldn't care less about what you're doing, but are just looking for more WUProp badges, etc.

You *can* set up the server to be invitation-only, of course.

I'm not planning to run a real public Boinc project. It's only to help experienced peoples in this thread to coordinate job distribution and double checking. The registration *may* be open but project link must be not widespread. No help, no support, no forum, no badges, no credit. All users are expected to be PrimeGrid members. All question must be asked in this thread or via my PrimeGrid PM.

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321 LLR Ruby: Earned 2,000,000 credits (4,564,140)Cullen LLR Ruby: Earned 2,000,000 credits (4,563,655)ESP LLR Ruby: Earned 2,000,000 credits (4,527,638)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (4,524,108)PPS LLR Ruby: Earned 2,000,000 credits (4,384,297)PSP LLR Ruby: Earned 2,000,000 credits (4,545,606)SoB LLR Ruby: Earned 2,000,000 credits (4,057,135)SR5 LLR Ruby: Earned 2,000,000 credits (4,429,958)SGS LLR Ruby: Earned 2,000,000 credits (4,285,716)TRP LLR Ruby: Earned 2,000,000 credits (4,608,089)Woodall LLR Ruby: Earned 2,000,000 credits (4,652,346)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (4,246,236)PPS Sieve Turquoise: Earned 5,000,000 credits (5,214,937)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Ruby: Earned 2,000,000 credits (3,157,583)GFN Sapphire: Earned 20,000,000 credits (22,880,612)PSA Double Bronze: Earned 100,000,000 credits (133,881,279)
Message 99984 - Posted: 18 Oct 2016 | 22:47:59 UTC - in response to Message 99983.

Also there must be some checks for NVIDIA driver buggy versions, right? I don't remember was GFN affected or not. And probably nobody tried to reproduce the bug with GFN-13.

It does affect GFN, but only if B is "big enough" (which depends on the N). At any rate, I wouldn't expect this to be a problem, given the people the server is intended to.

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The "Shut up already!" badge:  This loud mouth has mansplained on the forums over 10 thousand times!  Sheesh!!!Discovered the World's First GFN-19 prime!!!Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,052,219)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,004,898)PPS LLR Ruby: Earned 2,000,000 credits (2,082,200)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (24,608,301)SR5 LLR Turquoise: Earned 5,000,000 credits (7,371,106)SGS LLR Ruby: Earned 2,000,000 credits (2,010,466)TRP LLR Ruby: Earned 2,000,000 credits (2,433,520)Woodall LLR Ruby: Earned 2,000,000 credits (2,012,392)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (3,632,240)PPS Sieve Sapphire: Earned 20,000,000 credits (20,110,788)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,035,522)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,051,121)AP 26/27 Turquoise: Earned 5,000,000 credits (7,086,053)GFN Emerald: Earned 50,000,000 credits (52,696,917)PSA Jade: Earned 10,000,000 credits (10,038,118)
Message 99988 - Posted: 19 Oct 2016 | 5:31:26 UTC - in response to Message 99983.

I'm not planning to run a real public Boinc project. It's only to help experienced peoples in this thread to coordinate job distribution and double checking. The registration *may* be open but project link must be not widespread. No help, no support, no forum, no badges, no credit. All users are expected to be PrimeGrid members. All question must be asked in this thread or via my PrimeGrid PM.


Okay, that's actually not going to work. It's either private (need a password to join), or it's completely public and everybody WILL find it and join.

Are you familiar with WUProp? It's an NCI BOINC project that reports properties about other projects' BOINC tasks back to their server. When a new app is detected by their app, *anywhere*, their server announces the new app on their forums automatically. WUProp users see that, and flock to the server with the new app. WUProp's badges are based on running as many apps as possible from other BOINC projects, so when people see your server show up there, you'll get lots of new visitors.

As soon as anyone of your "regular" users runs one of your apps while WUProp is also on their computer, the whole world will find out about your server. Sin