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Message boards : Proth Prime Search : >>>Found Prime Numbers

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321 LLR Bronze: Earned 10,000 credits (19,473)Cullen LLR Gold: Earned 500,000 credits (620,678)ESP LLR Bronze: Earned 10,000 credits (10,962)PPS LLR Bronze: Earned 10,000 credits (27,574)PSP LLR Bronze: Earned 10,000 credits (73,482)SR5 LLR Silver: Earned 100,000 credits (193,354)SGS LLR Bronze: Earned 10,000 credits (14,888)TRP LLR Bronze: Earned 10,000 credits (13,430)PPS Sieve Amethyst: Earned 1,000,000 credits (1,159,624)GFN Ruby: Earned 2,000,000 credits (4,257,445)PSA Silver: Earned 100,000 credits (156,542)
Message 76437 - Posted: 16 May 2014 | 17:06:43 UTC

Is there any significance to a found prime, even a special badge or double points? Will this be posted somewhere eventually? I did a few Google searches but didn't really find any more information on this subject. What is the mathematical probability of me (or any other user) finding a prime? I'd just like some more general information since I couldn't find much on the Primegrid site.

Prime number list for participant "CableGuyATX"
Prime Digits Subproject Prime Score
Doublechecker
7393*2^1267734+1 381,630 (decimal) Proth Prime Search 30.805
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Profile Michael GoetzProject donor
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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 PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,085,897)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Turquoise: Earned 5,000,000 credits (6,646,934)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,221,148)SR5 LLR Turquoise: Earned 5,000,000 credits (8,293,415)SGS LLR Ruby: Earned 2,000,000 credits (2,012,222)TRP LLR Ruby: Earned 2,000,000 credits (2,737,347)Woodall LLR Ruby: Earned 2,000,000 credits (2,195,123)321 Sieve Turquoise: Earned 5,000,000 credits (5,046,112)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 (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 Jade: Earned 10,000,000 credits (10,106,174)GFN Emerald: Earned 50,000,000 credits (65,591,694)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 76454 - Posted: 17 May 2014 | 11:54:23 UTC - in response to Message 76437.

Is there any significance to a found prime, even a special badge or double points?


From a mathematical perspective, all prime numbers of this size are significant if only because of the rarity of such numbers.

Form a recognition standpoint, there's no special badge, or extra credit, but you do get recorded on our prime finders list. In addition, if the prime is large enough and you're the prime finder (not the double checker), you get recorded in Chris Caldwell's Top 5000 known prime number database.

Some primes are more significant than others. We have several projects where each prime that is found helps to prove a mathematical conjecture. Seventeen or Bust (SoB, also know as "the Sierpinski Problem"), the Prime Sierpinski Problem (PSP), the Extended Sierpinski Problem (ESP), the Riesel Problem (TRP), and the Sierpinski/Riesel Base 5 Problem (SR5) are all projects that are helping to solve conjectures.

Other primes would be significant because they would be the first prime of that type ever discovered. (Wieferich and Wall-Sun-Sun).

We're also searching for the largest known prime to ever be discovered with our GFN World Record project.

What is the mathematical probability of me (or any other user) finding a prime?


I won't attempt to answer it from a mathematical perspective, mostly because I have no idea what the answer is, and you can look that up as easily as I can. What I can do is tell you how many primes have been found historically on some of our smaller projects. (For the larger primes, they are so rare that a historical count of the primes found is too small a data sample to be a reliable indicator of how likely you are to find one in the future.)

PPSE: 0.0143%
PPS: 0.126%
SGS: 0.0046%

Those numbers are taken from only the last three days, so the data set may be too small to get a good statistical sample.


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PPS LLR Gold: Earned 500,000 credits (507,823)SGS LLR Gold: Earned 500,000 credits (903,163)
Message 80286 - Posted: 14 Oct 2014 | 9:38:34 UTC - in response to Message 76454.

I won't attempt to answer it from a mathematical perspective, mostly because I have no idea what the answer is, and you can look that up as easily as I can. What I can do is tell you how many primes have been found historically on some of our smaller projects. (For the larger primes, they are so rare that a historical count of the primes found is too small a data sample to be a reliable indicator of how likely you are to find one in the future.)

PPSE: 0.0143%
PPS: 0.126%
SGS: 0.0046%

Those numbers are taken from only the last three days, so the data set may be too small to get a good statistical sample.



Hi.

Are these numbers up to date? And is my math correct that these means for PPS for example, that 1 out of 800 tests could be a prime and so PPS is the "easiest" subproject to get a prime?

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Discovered 5 mega primesEliminated 3 conjecture "k"sFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2018 Tour de Primes Mountain Stage2019 Tour de Primes largest primeFound 4 primes in the 2019 Tour de PrimesFound 1 mega prime in the 2019 Tour de PrimesFound 1 prime in the 2019 Tour de Primes Mountain Stage321 LLR Emerald: Earned 50,000,000 credits (50,556,284)Cullen LLR Emerald: Earned 50,000,000 credits (50,296,190)ESP LLR Emerald: Earned 50,000,000 credits (50,853,190)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (50,309,119)PPS LLR Double Bronze: Earned 100,000,000 credits (100,129,096)PSP LLR Sapphire: Earned 20,000,000 credits (23,462,639)SoB LLR Emerald: Earned 50,000,000 credits (67,865,553)SR5 LLR Emerald: Earned 50,000,000 credits (50,320,316)SGS LLR Sapphire: Earned 20,000,000 credits (22,598,870)TPS LLR (retired) Bronze: Earned 10,000 credits (43,033)TRP LLR Emerald: Earned 50,000,000 credits (57,441,313)Woodall LLR Emerald: Earned 50,000,000 credits (50,786,205)321 Sieve Sapphire: Earned 20,000,000 credits (47,590,710)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,142,109)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,504,945)PPS Sieve Double Gold: Earned 500,000,000 credits (504,377,255)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,288,222)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,149,354)AP 26/27 Double Silver: Earned 200,000,000 credits (214,114,844)GFN Double Gold: Earned 500,000,000 credits (625,387,840)PSA Double Gold: Earned 500,000,000 credits (531,254,992)
Message 80287 - Posted: 14 Oct 2014 | 9:55:53 UTC - in response to Message 80286.

Are these numbers up to date? And is my math correct that these means for PPS for example, that 1 out of 800 tests could be a prime and so PPS is the "easiest" subproject to get a prime?


Hi,

I believe those are historical numbers, meaning from the strart of each subproject.
Since candidates are getting larger as each subprojects advances, those numbers should be a bit lower now.

But basic reamins - the smaller number, the better chance of finding a prime.
SGS and PPSE are still best way to go finiding a prime.
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Message 80288 - Posted: 14 Oct 2014 | 10:33:57 UTC - in response to Message 80287.

Thanks a lot.

And learned soemthing new. Because I thought, the bigger the better. ;)

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Discovered 2 mega primesFound 1 prime in the 2018 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,164,204)Cullen LLR Gold: Earned 500,000 credits (776,297)ESP LLR Ruby: Earned 2,000,000 credits (3,099,324)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,056,207)PPS LLR Jade: Earned 10,000,000 credits (12,008,243)PSP LLR Ruby: Earned 2,000,000 credits (4,277,918)SoB LLR Sapphire: Earned 20,000,000 credits (20,233,229)SR5 LLR Turquoise: Earned 5,000,000 credits (5,978,312)SGS LLR Ruby: Earned 2,000,000 credits (2,932,365)TRP LLR Turquoise: Earned 5,000,000 credits (7,021,680)Woodall LLR Amethyst: Earned 1,000,000 credits (1,693,614)321 Sieve Jade: Earned 10,000,000 credits (13,112,834)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,571,178)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,009,610)PPS Sieve Double Silver: Earned 200,000,000 credits (239,365,218)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,165,888)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,071,454)AP 26/27 Ruby: Earned 2,000,000 credits (3,519,190)GFN Emerald: Earned 50,000,000 credits (50,062,736)PSA Double Bronze: Earned 100,000,000 credits (102,762,384)
Message 80324 - Posted: 16 Oct 2014 | 4:31:19 UTC - in response to Message 80288.

Thanks a lot.

And learned soemthing new. Because I thought, the bigger the better. ;)

That depends what you mean by "better". Bigger is better if you want credit for a find ranking high in the "top 5000" primes. Some people want a higher total "prime score", which is also possible to achieve by racking up a large number of smaller finds. Another possible goal is having a larger number of finds in the top 5000, or high ranking in work done in a PrimeGrid challenge.
Top 5000 membership is a moving target; getting on it can take a long time, and some achievements last longer than others. Some people don't care about prime score or top 5000 status, they just want BOINC credit and/or PrimeGrid badges. Some just want to advance the state of the art, or help to solve some math conjectures.
Your goal is up to you.

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321 LLR Amethyst: Earned 1,000,000 credits (1,041,657)Cullen LLR Amethyst: Earned 1,000,000 credits (1,366,558)PPS LLR Sapphire: Earned 20,000,000 credits (22,177,547)PSP LLR Amethyst: Earned 1,000,000 credits (1,521,444)SoB LLR Amethyst: Earned 1,000,000 credits (1,751,070)SR5 LLR Amethyst: Earned 1,000,000 credits (1,100,031)SGS LLR Amethyst: Earned 1,000,000 credits (1,014,953)TRP LLR Ruby: Earned 2,000,000 credits (3,647,371)Woodall LLR Amethyst: Earned 1,000,000 credits (1,479,507)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (41,181)PPS Sieve Sapphire: Earned 20,000,000 credits (29,702,366)TRP Sieve (suspended) Silver: Earned 100,000 credits (206,682)GFN Jade: Earned 10,000,000 credits (11,960,980)
Message 80331 - Posted: 16 Oct 2014 | 14:15:50 UTC
Last modified: 16 Oct 2014 | 14:16:48 UTC

Personally, I'm looking for quantity of primes.
The more Proth primes I find, the better my chances of discovering a Fermat divisor.

http://www.prothsearch.com/fermat.html

Message boards : Proth Prime Search : >>>Found Prime Numbers

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