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Message boards : Proth Prime Search : PPS-Sieve factor badges?

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Profile MiauiKatze
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Joined: 4 Apr 20
Posts: 6
ID: 1251453
Credit: 915,005
RAC: 97
PPS LLR Bronze: Earned 10,000 credits (69,169)SGS LLR Bronze: Earned 10,000 credits (12,613)PPS Sieve Bronze: Earned 10,000 credits (26,968)AP 26/27 Silver: Earned 100,000 credits (238,537)GFN Silver: Earned 100,000 credits (207,047)
Message 145175 - Posted: 12 Nov 2020 | 12:50:37 UTC

Hello,

I just looked around in the profiles of the top crunchers in PrimeGrid. I noticed some have thousands of factors found in the PPS sieve project.

I think for many people it would be more interesting if there are (difficult) badges for factors found, something like the "Primes Found" badges (counter badges). Of course there can't be a counter badge for thousands. But maybe a Bronze Badge for 10 factors, Silver for 20 and so on...

Have a nice day,
hope I can read some answers soon! :)
____________
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"MiauiKatze" is german and means as much as "mewing cat"!
--------

Profile dannyridel
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321 LLR Silver: Earned 100,000 credits (100,228)Cullen LLR Bronze: Earned 10,000 credits (36,962)ESP LLR Bronze: Earned 10,000 credits (36,309)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (22,645)PPS LLR Silver: Earned 100,000 credits (219,290)PSP LLR Silver: Earned 100,000 credits (100,559)SoB LLR Silver: Earned 100,000 credits (138,888)SR5 LLR Bronze: Earned 10,000 credits (64,280)SGS LLR Bronze: Earned 10,000 credits (35,164)TRP LLR Bronze: Earned 10,000 credits (67,784)Woodall LLR Bronze: Earned 10,000 credits (40,976)321 Sieve Gold: Earned 500,000 credits (506,814)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (30,033)PPS Sieve Gold: Earned 500,000 credits (825,895)AP 26/27 Silver: Earned 100,000 credits (141,505)GFN Gold: Earned 500,000 credits (859,368)PSA Silver: Earned 100,000 credits (373,034)
Message 145177 - Posted: 12 Nov 2020 | 13:48:30 UTC - in response to Message 145175.

Hello,

I just looked around in the profiles of the top crunchers in PrimeGrid. I noticed some have thousands of factors found in the PPS sieve project.

I think for many people it would be more interesting if there are (difficult) badges for factors found, something like the "Primes Found" badges (counter badges). Of course there can't be a counter badge for thousands. But maybe a Bronze Badge for 10 factors, Silver for 20 and so on...

Have a nice day,
hope I can read some answers soon! :)


Well there isn't really a "prime found badge"... Only for megaprimes and world firsts.
I kinda don't like the idea for that badge though, because it departs from the trend of other PG badges for either subprojects or significant finds.
____________
SHSID Electronics Group
SHSIDElectronicsGroup@outlook.com

GFN-14: 50103906^16384+1
Proth "SoB": 44243*2^440969+1


Profile Michael GoetzProject donor
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Joined: 21 Jan 10
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Credit: 236,922,854
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Found 5 primes in the 2021 Tour de PrimesFound 5 mega primes in the 2021 Tour de PrimesThe "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 6 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,822,730)Cullen LLR Ruby: Earned 2,000,000 credits (3,624,591)ESP LLR Turquoise: Earned 5,000,000 credits (5,021,269)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Jade: Earned 10,000,000 credits (16,008,485)PSP LLR Turquoise: Earned 5,000,000 credits (5,197,957)SoB LLR Sapphire: Earned 20,000,000 credits (34,291,181)SR5 LLR Jade: Earned 10,000,000 credits (10,007,110)SGS LLR Ruby: Earned 2,000,000 credits (3,252,256)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Ruby: Earned 2,000,000 credits (2,911,985)321 Sieve Jade: Earned 10,000,000 credits (10,061,196)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (22,885,121)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 Jade: Earned 10,000,000 credits (10,118,303)GFN Emerald: Earned 50,000,000 credits (76,733,355)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 145178 - Posted: 12 Nov 2020 | 14:05:49 UTC - in response to Message 145175.

Finding a factor isn't the same as finding a prime. Want to find billions of factors easily? Do the initial sieving for a project. Just make sure you have LOTS of disk space.

Furthermore, we don't track factors the same way we track primes. A lot of the "factors found" actually remove candidates that were previously removed by earlier sieving tasks. The factors themselves aren't important. It's all about removing candidates.

Sieving is kind of the grunt work of the prime finding universe. No fame, no glory, just the satisfaction from getting the job done.

From a project standpoint, there's no way we'd ever create a badge like that. Different sieves produce factors at a different pace, and to have such a badge would definitely entice people to run one sieve instead of another. While we might prefer that you run sieve A instead of sieve B, we won't necessarily want people to be running the sieve that produces the most factors.

____________
My lucky number is 75898524288+1

Profile dannyridel
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Posts: 791
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Credit: 3,783,734
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321 LLR Silver: Earned 100,000 credits (100,228)Cullen LLR Bronze: Earned 10,000 credits (36,962)ESP LLR Bronze: Earned 10,000 credits (36,309)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (22,645)PPS LLR Silver: Earned 100,000 credits (219,290)PSP LLR Silver: Earned 100,000 credits (100,559)SoB LLR Silver: Earned 100,000 credits (138,888)SR5 LLR Bronze: Earned 10,000 credits (64,280)SGS LLR Bronze: Earned 10,000 credits (35,164)TRP LLR Bronze: Earned 10,000 credits (67,784)Woodall LLR Bronze: Earned 10,000 credits (40,976)321 Sieve Gold: Earned 500,000 credits (506,814)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (30,033)PPS Sieve Gold: Earned 500,000 credits (825,895)AP 26/27 Silver: Earned 100,000 credits (141,505)GFN Gold: Earned 500,000 credits (859,368)PSA Silver: Earned 100,000 credits (373,034)
Message 145179 - Posted: 12 Nov 2020 | 14:42:43 UTC - in response to Message 145178.
Last modified: 12 Nov 2020 | 14:43:06 UTC

While we might prefer that you run sieve A instead of sieve B, we won't necessarily want people to be running the sieve that produces the most factors.


The thing is, PPS SV is the only sieving subproject active, for now. So will subsequent sieves be added? (off-topic)
____________
SHSID Electronics Group
SHSIDElectronicsGroup@outlook.com

GFN-14: 50103906^16384+1
Proth "SoB": 44243*2^440969+1


Profile Michael GoetzProject donor
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Joined: 21 Jan 10
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Credit: 236,922,854
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Found 5 primes in the 2021 Tour de PrimesFound 5 mega primes in the 2021 Tour de PrimesThe "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 6 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,822,730)Cullen LLR Ruby: Earned 2,000,000 credits (3,624,591)ESP LLR Turquoise: Earned 5,000,000 credits (5,021,269)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Jade: Earned 10,000,000 credits (16,008,485)PSP LLR Turquoise: Earned 5,000,000 credits (5,197,957)SoB LLR Sapphire: Earned 20,000,000 credits (34,291,181)SR5 LLR Jade: Earned 10,000,000 credits (10,007,110)SGS LLR Ruby: Earned 2,000,000 credits (3,252,256)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Ruby: Earned 2,000,000 credits (2,911,985)321 Sieve Jade: Earned 10,000,000 credits (10,061,196)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (22,885,121)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 Jade: Earned 10,000,000 credits (10,118,303)GFN Emerald: Earned 50,000,000 credits (76,733,355)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 145184 - Posted: 12 Nov 2020 | 18:03:15 UTC - in response to Message 145179.

While we might prefer that you run sieve A instead of sieve B, we won't necessarily want people to be running the sieve that produces the most factors.


The thing is, PPS SV is the only sieving subproject active, for now. So will subsequent sieves be added? (off-topic)


It would be reckless to assume that in the entire lifespan of PrimeGrid that there wouldn't *ever* be more sieves. Once we create a badge, we can't uncreate it. We have to make decisions based on predictable future needs, not just the present.
____________
My lucky number is 75898524288+1

Profile BurProject donor
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Joined: 25 Feb 20
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Credit: 22,611,276
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321 LLR Gold: Earned 500,000 credits (538,216)Cullen LLR Amethyst: Earned 1,000,000 credits (1,169,946)ESP LLR Gold: Earned 500,000 credits (636,842)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (212,232)PPS LLR Gold: Earned 500,000 credits (883,715)PSP LLR Gold: Earned 500,000 credits (663,928)SoB LLR Silver: Earned 100,000 credits (217,346)SR5 LLR Gold: Earned 500,000 credits (531,229)SGS LLR Amethyst: Earned 1,000,000 credits (1,042,382)TRP LLR Gold: Earned 500,000 credits (561,429)Woodall LLR Gold: Earned 500,000 credits (781,741)321 Sieve Ruby: Earned 2,000,000 credits (2,107,153)PPS Sieve Amethyst: Earned 1,000,000 credits (1,045,010)AP 26/27 Ruby: Earned 2,000,000 credits (2,470,273)GFN Turquoise: Earned 5,000,000 credits (7,129,018)PSA Silver: Earned 100,000 credits (244,815)
Message 145282 - Posted: 17 Nov 2020 | 8:51:04 UTC

Finding factors during sieving is not the same as finding factors for numbers like F(12) 2^2^12 + 1 where it would be a major event (at least for certain types of people... ;)).

Finding a factor in sieving subprojects is comparable to doing a primality test and finding the number is composite. Nothing too special.


This made me wonder though, are those factors entered into FactorDB? Would they even be interested?
____________
Primes: 1281979 & 12+8+1979 & 1+2+8+1+9+7+9 & 1^2+2^2+8^2+1^2+9^2+7^2+9^2 & 12*8+19*79 & 12^8-1979 & 1281979 + 4 (cousin prime)

Profile JeppeSNProject donor
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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Turquoise: Earned 5,000,000 credits (9,594,179)PSP LLR Silver: Earned 100,000 credits (212,242)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (105,212)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Amethyst: Earned 1,000,000 credits (1,674,106)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 145289 - Posted: 17 Nov 2020 | 12:16:13 UTC - in response to Message 145282.

This made me wonder though, are those factors entered into FactorDB? Would they even be interested?


I think factordb.com is more interested in factors of smaller numbers (like between 10^40 and 10^1000), and in particular factors of numbers belonging to "interesting" sequences.

Factordb.com is most useful if the number is so "interesting" or "natural" in itself that someone in the future is going to ask: Has anyone ever factored this?

I think, most of PrimeGrid's sieves operate with candidates that are too huge for factordb.com.

In conclusion, it is not relevant or technically possible to send our sieving results to factordb.com.

/JeppeSN

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321 LLR Gold: Earned 500,000 credits (538,216)Cullen LLR Amethyst: Earned 1,000,000 credits (1,169,946)ESP LLR Gold: Earned 500,000 credits (636,842)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (212,232)PPS LLR Gold: Earned 500,000 credits (883,715)PSP LLR Gold: Earned 500,000 credits (663,928)SoB LLR Silver: Earned 100,000 credits (217,346)SR5 LLR Gold: Earned 500,000 credits (531,229)SGS LLR Amethyst: Earned 1,000,000 credits (1,042,382)TRP LLR Gold: Earned 500,000 credits (561,429)Woodall LLR Gold: Earned 500,000 credits (781,741)321 Sieve Ruby: Earned 2,000,000 credits (2,107,153)PPS Sieve Amethyst: Earned 1,000,000 credits (1,045,010)AP 26/27 Ruby: Earned 2,000,000 credits (2,470,273)GFN Turquoise: Earned 5,000,000 credits (7,129,018)PSA Silver: Earned 100,000 credits (244,815)
Message 145301 - Posted: 17 Nov 2020 | 18:38:03 UTC

I thought so, on the other hand, they have factors of numbers like Mersenne or Fermat. So Cullen or Woodall could be interesting as well.

And I found entries for smaller primorials or factorials, for example for 15000!+1 one factor is known. So at least for the factorials and primorials the sieving results might have been interesting? On the other hand, it's always just one factor...
____________
Primes: 1281979 & 12+8+1979 & 1+2+8+1+9+7+9 & 1^2+2^2+8^2+1^2+9^2+7^2+9^2 & 12*8+19*79 & 12^8-1979 & 1281979 + 4 (cousin prime)

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Turquoise: Earned 5,000,000 credits (9,594,179)PSP LLR Silver: Earned 100,000 credits (212,242)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (105,212)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Amethyst: Earned 1,000,000 credits (1,674,106)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 145307 - Posted: 17 Nov 2020 | 21:29:27 UTC - in response to Message 145301.

I thought so, on the other hand, they have factors of numbers like Mersenne or Fermat. So Cullen or Woodall could be interesting as well.

And I found entries for smaller primorials or factorials, for example for 15000!+1 one factor is known. So at least for the factorials and primorials the sieving results might have been interesting? On the other hand, it's always just one factor...


OK, you kind of convince me. Factordb.com currently accepts numbers up to about ten million digits. For number sequences like Cullen, Woodall, factorial, primorial, 321 etc., I guess it may be interesting to export data (for candidates below the ten million digit limit) from PrimeGrid's sieve files into factordb.

I do not know if this has been considered before?

Otherwise, maybe we should find out if the sieve files can be acquired. Usually, PrimeGrid does not publish the sieve files because others could "steal" them. Maybe it would be possible to publish only the factor information for candidates that are below the current leading edge at PrimeGrid for the relevant projects. For example, for Cullen, LLR is currently near n = 18'000'000. So we know there are no new primes to be found below this n, hence nothing to "steal". So if we could expose only factors for candidates below 18'000'000 (in this project), it would not be a problem.

I do not even know if these files are still kept?

If this is practically possible, you could create a thread in the FactorDB subforum under mersenneforum to ask if it is a good idea or not.

/JeppeSN

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Turquoise: Earned 5,000,000 credits (9,594,179)PSP LLR Silver: Earned 100,000 credits (212,242)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Silver: Earned 100,000 credits (105,212)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve Silver: Earned 100,000 credits (175,037)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Amethyst: Earned 1,000,000 credits (1,674,106)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 145308 - Posted: 17 Nov 2020 | 21:41:27 UTC - in response to Message 145307.

Continuing your example, on factordb.com, you can also search with an expression with an n in it, and get a list of numbers, so here is a list of factorial numbers near n = 15'000. I also made the same search near 270'000; all numbers were "new" (had an asterisk in the status column) when I did the search the first time, meaning they got added just now. /JeppeSN

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Message boards : Proth Prime Search : PPS-Sieve factor badges?

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