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Message boards : AP26 - AP27 Search : This is probably a really dumb question...

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TheCruelLogician
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Found 1 prime in the 2019 Tour de Primes321 LLR Bronze: Earned 10,000 credits (15,725)Cullen LLR Bronze: Earned 10,000 credits (34,191)ESP LLR Amethyst: Earned 1,000,000 credits (1,069,462)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (651,908)PPS LLR Ruby: Earned 2,000,000 credits (3,890,726)PSP LLR Bronze: Earned 10,000 credits (25,763)SoB LLR Amethyst: Earned 1,000,000 credits (1,529,599)SR5 LLR Silver: Earned 100,000 credits (278,040)SGS LLR Gold: Earned 500,000 credits (717,965)TRP LLR Gold: Earned 500,000 credits (565,318)Woodall LLR Bronze: Earned 10,000 credits (18,231)321 Sieve Silver: Earned 100,000 credits (128,076)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,366,124)PPS Sieve Jade: Earned 10,000,000 credits (13,834,584)AP 26/27 Jade: Earned 10,000,000 credits (10,188,360)GFN Turquoise: Earned 5,000,000 credits (6,814,357)
Message 128183 - Posted: 21 Mar 2019 | 6:43:46 UTC
Last modified: 21 Mar 2019 | 6:45:23 UTC

Are the primes found by AP27 previously undiscovered primes, or is it only the progression that is the "find?"
____________
Historian by education, philosopher by inclination, contrarian by nature.


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 PrimesFound 5 primes in the 2019 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 (6,454,573)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,122,074)PPS LLR Sapphire: Earned 20,000,000 credits (47,660,601)PSP LLR Jade: Earned 10,000,000 credits (10,128,604)SoB LLR Jade: Earned 10,000,000 credits (17,319,914)SR5 LLR Jade: Earned 10,000,000 credits (18,479,395)SGS LLR Turquoise: Earned 5,000,000 credits (6,702,766)TPS LLR (retired) Bronze: Earned 10,000 credits (34,130)TRP LLR Jade: Earned 10,000,000 credits (15,154,737)Woodall LLR Turquoise: Earned 5,000,000 credits (5,715,464)321 Sieve Turquoise: Earned 5,000,000 credits (8,326,385)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,383,853)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,626,419)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 Sapphire: Earned 20,000,000 credits (21,918,894)GFN Sapphire: Earned 20,000,000 credits (48,107,585)PSA Ruby: Earned 2,000,000 credits (2,939,755)
Message 128184 - Posted: 21 Mar 2019 | 8:32:41 UTC - in response to Message 128183.

I think the progression is where the value is, as otherwise the primes are not very large or of a particularly interesting form. I'd guess most are unknown simply as the search space is so massive, but wouldn't rule out the odd one being previously known by coincidence.

dukebg
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Found 1 prime in the 2018 Tour de Primes321 LLR Gold: Earned 500,000 credits (506,942)Cullen LLR Gold: Earned 500,000 credits (500,523)ESP LLR Gold: Earned 500,000 credits (655,642)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (539,100)PPS LLR Gold: Earned 500,000 credits (688,232)PSP LLR Gold: Earned 500,000 credits (561,629)SoB LLR Ruby: Earned 2,000,000 credits (3,659,676)SR5 LLR Gold: Earned 500,000 credits (505,810)SGS LLR Gold: Earned 500,000 credits (506,024)TRP LLR Gold: Earned 500,000 credits (963,625)Woodall LLR Gold: Earned 500,000 credits (506,044)321 Sieve Gold: Earned 500,000 credits (511,694)Generalized Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (549,916)PPS Sieve Gold: Earned 500,000 credits (701,168)AP 26/27 Gold: Earned 500,000 credits (525,590)GFN Turquoise: Earned 5,000,000 credits (9,675,760)PSA Gold: Earned 500,000 credits (525,639)
Message 128186 - Posted: 21 Mar 2019 | 10:06:10 UTC

Your GPU (or CPU if you're running that version) is "discovering" millions of primes of this size while searching for the progressions. The primes themselves are not notable and their "discovery" is not expensive in itself (huge amounts per second).

It has the discovery value of discovering a single grain of sand on the beach. The grain itself in this metaphor is not specific, it's valuable only in the group of other grains that form a progression.

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321 LLR Silver: Earned 100,000 credits (285,114)Cullen LLR Bronze: Earned 10,000 credits (98,851)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Ruby: Earned 2,000,000 credits (2,387,919)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Bronze: Earned 10,000 credits (16,010)TRP LLR Bronze: Earned 10,000 credits (71,060)Woodall LLR Silver: Earned 100,000 credits (109,455)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 128258 - Posted: 22 Mar 2019 | 21:51:35 UTC

What does it mean for a number to be "discovered"?

Is the number 689160670188354570499 discovered, for example? It is a number I just came up with. Any computer can verify extremely quickly (immediately, to a human) that it is a prime. It is not very interesting. It has 21 figures, and it is almost certain that no person has ever considered that number before.

But it is not worth calling the fact that I am talking about this number, "a discovery". It is just a number.

"A discovery" must be something people consider interesting and worth putting a lot of effort into searching for, or something that is unexpected (e.g. a number with a property people did not expect to exist).

/JeppeSN

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321 LLR Silver: Earned 100,000 credits (116,842)Cullen LLR Silver: Earned 100,000 credits (249,992)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (212,991)PPS LLR Silver: Earned 100,000 credits (168,970)SGS LLR Silver: Earned 100,000 credits (106,050)TRP LLR Bronze: Earned 10,000 credits (10,401)Woodall LLR Silver: Earned 100,000 credits (224,018)321 Sieve Gold: Earned 500,000 credits (501,935)Generalized Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (104,315)PPS Sieve Silver: Earned 100,000 credits (283,164)AP 26/27 Silver: Earned 100,000 credits (157,677)GFN Silver: Earned 100,000 credits (186,702)PSA Bronze: Earned 10,000 credits (56,626)
Message 128272 - Posted: 23 Mar 2019 | 16:43:16 UTC - in response to Message 128258.
Last modified: 23 Mar 2019 | 17:13:07 UTC


"A discovery" must be something people consider interesting and worth putting a lot of effort into searching for, or something that is unexpected (e.g. a number with a property people did not expect to exist).

/JeppeSN


But people expect arithmetic progressions of primes to exist (after the theorems at least). so I don't think this is quite right.

EDIT: I withdraw this comment as I realise it is pertinent only to your example. Sorry.

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Message boards : AP26 - AP27 Search : This is probably a really dumb question...

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