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Message boards : AP26 - AP27 Search : Are AP's also prime finders?

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Dad
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Joined: 28 Feb 18
Posts: 284
ID: 984171
Credit: 182,080,291
RAC: 8
Discovered 2 mega primes321 LLR Gold: Earned 500,000 credits (503,707)Cullen LLR Amethyst: Earned 1,000,000 credits (1,001,529)ESP LLR Gold: Earned 500,000 credits (502,172)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,028,459)PPS LLR Turquoise: Earned 5,000,000 credits (7,989,101)PSP LLR Gold: Earned 500,000 credits (566,759)SoB LLR Ruby: Earned 2,000,000 credits (2,047,598)SR5 LLR Amethyst: Earned 1,000,000 credits (1,014,245)SGS LLR Amethyst: Earned 1,000,000 credits (1,343,649)TRP LLR Amethyst: Earned 1,000,000 credits (1,279,172)Woodall LLR Amethyst: Earned 1,000,000 credits (1,017,620)321 Sieve Amethyst: Earned 1,000,000 credits (1,005,090)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (32,970,234)PPS Sieve Sapphire: Earned 20,000,000 credits (31,771,675)AP 26/27 Ruby: Earned 2,000,000 credits (2,179,177)GFN Emerald: Earned 50,000,000 credits (87,116,853)PSA Turquoise: Earned 5,000,000 credits (8,743,250)
Message 117642 - Posted: 1 May 2018 | 9:06:17 UTC

What I mean is...

Is an AP just a group of already known primes that are 'discovered' to be an AP or are they one or two (or more) primes with an AP, the AP is continued forwards and backwards to see if other numbers in the AP are prime or not, thereby 'discovering' new primes as the continuation of the sequence?

Dad
____________


Tonight's lucky numbers are

555*2^3563328+1 (PPS-MEGA)

and

58523466^131072+1 (GFN-17 MEGA)

Profile Michael GoetzProject donor
Volunteer moderator
Project administrator
Project scientist
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Joined: 21 Jan 10
Posts: 12943
ID: 53948
Credit: 195,762,597
RAC: 152,272
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 (6,811,668)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (65,622,585)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 117645 - Posted: 1 May 2018 | 11:43:57 UTC

It may be impossible to answer that question. The primes found in AP27 are very small, and nobody keeps records of primes of that size.
____________
Please do not PM me with support questions. Ask on the forums instead. Thank you!

My lucky number is 75898524288+1

Paul Underwood
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Joined: 14 Jul 08
Posts: 67
ID: 25545
Credit: 3,482,191
RAC: 0
321 LLR Ruby: Earned 2,000,000 credits (3,455,288)PSA Bronze: Earned 10,000 credits (22,365)
Message 117646 - Posted: 1 May 2018 | 12:34:33 UTC - in response to Message 117642.
Last modified: 1 May 2018 | 12:37:18 UTC

What I mean is...

Is an AP just a group of already known primes that are 'discovered' to be an AP or are they one or two (or more) primes with an AP, the AP is continued forwards and backwards to see if other numbers in the AP are prime or not, thereby 'discovering' new primes as the continuation of the sequence?

Dad


Dr David Broadhurst used the top5000 primes to look for AP3s.

In my searches for mid-sized APs, I sieve a range, then PRP it, after detect APs in the range and finally extend APs found in the range.

dukebg
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Joined: 21 Nov 17
Posts: 235
ID: 950482
Credit: 22,083,013
RAC: 0
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 117649 - Posted: 1 May 2018 | 15:16:30 UTC

I'll put it this way: for primes found in the APs of PrimeGrid's AP26-27 search, nobody cares about their "discovery" because primes of this size (tiny) are trivial to generate. Your computer actually generates millions (underestimation) of them during the run of a single unit. Discarding them unless they formed an arithmetic progression.

It's like discovery values of the individual sand grains in the playground.

Dad
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Joined: 28 Feb 18
Posts: 284
ID: 984171
Credit: 182,080,291
RAC: 8
Discovered 2 mega primes321 LLR Gold: Earned 500,000 credits (503,707)Cullen LLR Amethyst: Earned 1,000,000 credits (1,001,529)ESP LLR Gold: Earned 500,000 credits (502,172)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,028,459)PPS LLR Turquoise: Earned 5,000,000 credits (7,989,101)PSP LLR Gold: Earned 500,000 credits (566,759)SoB LLR Ruby: Earned 2,000,000 credits (2,047,598)SR5 LLR Amethyst: Earned 1,000,000 credits (1,014,245)SGS LLR Amethyst: Earned 1,000,000 credits (1,343,649)TRP LLR Amethyst: Earned 1,000,000 credits (1,279,172)Woodall LLR Amethyst: Earned 1,000,000 credits (1,017,620)321 Sieve Amethyst: Earned 1,000,000 credits (1,005,090)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (32,970,234)PPS Sieve Sapphire: Earned 20,000,000 credits (31,771,675)AP 26/27 Ruby: Earned 2,000,000 credits (2,179,177)GFN Emerald: Earned 50,000,000 credits (87,116,853)PSA Turquoise: Earned 5,000,000 credits (8,743,250)
Message 117663 - Posted: 1 May 2018 | 20:23:43 UTC - in response to Message 117645.

So there's no 'prime bible'? A definitive reference that keeps a list of all known primes???
____________


Tonight's lucky numbers are

555*2^3563328+1 (PPS-MEGA)

and

58523466^131072+1 (GFN-17 MEGA)

Profile Michael GoetzProject donor
Volunteer moderator
Project administrator
Project scientist
Avatar
Send message
Joined: 21 Jan 10
Posts: 12943
ID: 53948
Credit: 195,762,597
RAC: 152,272
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 (6,811,668)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (65,622,585)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 117664 - Posted: 1 May 2018 | 20:47:52 UTC - in response to Message 117663.

So there's no 'prime bible'? A definitive reference that keeps a list of all known primes???


Correct. Small prime numbers are very numerous and easy to generate. I think there's a list out there somewhere of the first one billion primes. And, of course, there's the Top 5000 Primes website. And numerous web pages around with more specific primes.


____________
Please do not PM me with support questions. Ask on the forums instead. Thank you!

My lucky number is 75898524288+1

Dad
Avatar
Send message
Joined: 28 Feb 18
Posts: 284
ID: 984171
Credit: 182,080,291
RAC: 8
Discovered 2 mega primes321 LLR Gold: Earned 500,000 credits (503,707)Cullen LLR Amethyst: Earned 1,000,000 credits (1,001,529)ESP LLR Gold: Earned 500,000 credits (502,172)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,028,459)PPS LLR Turquoise: Earned 5,000,000 credits (7,989,101)PSP LLR Gold: Earned 500,000 credits (566,759)SoB LLR Ruby: Earned 2,000,000 credits (2,047,598)SR5 LLR Amethyst: Earned 1,000,000 credits (1,014,245)SGS LLR Amethyst: Earned 1,000,000 credits (1,343,649)TRP LLR Amethyst: Earned 1,000,000 credits (1,279,172)Woodall LLR Amethyst: Earned 1,000,000 credits (1,017,620)321 Sieve Amethyst: Earned 1,000,000 credits (1,005,090)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (32,970,234)PPS Sieve Sapphire: Earned 20,000,000 credits (31,771,675)AP 26/27 Ruby: Earned 2,000,000 credits (2,179,177)GFN Emerald: Earned 50,000,000 credits (87,116,853)PSA Turquoise: Earned 5,000,000 credits (8,743,250)
Message 117667 - Posted: 1 May 2018 | 23:35:05 UTC - in response to Message 117664.

So at what number of decimal places do you/we start to keep a track of primes? and why that number?
____________


Tonight's lucky numbers are

555*2^3563328+1 (PPS-MEGA)

and

58523466^131072+1 (GFN-17 MEGA)

Profile Michael GoetzProject donor
Volunteer moderator
Project administrator
Project scientist
Avatar
Send message
Joined: 21 Jan 10
Posts: 12943
ID: 53948
Credit: 195,762,597
RAC: 152,272
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 (6,811,668)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (65,622,585)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 117669 - Posted: 2 May 2018 | 0:49:22 UTC - in response to Message 117667.

So at what number of decimal places do you/we start to keep a track of primes? and why that number?


PrimeGrid records all of its primes.

If you're asking about an outside entity, there's the Top 5000 Primes website which records... the top 5000 Primes. How many digits that is increases over time, of course. Right now it's between 400 thousand and 500 thousand digits.

AP sequences of a significant length, i.e., the number of terms in the AP and not the number of digits in the primes, are recorded at Jens Kruse Andersen's Primes in Arithmetic Progression Records page. Currently, significant means "AP26 or longer". Prior to January, it meant "AP25 or longer", and back in 2010, it meant "AP24 or longer". Over time, as computers get more powerful, what is considered worth recording increases. The primes themselves are very short, typically less than 20 digits in length.

____________
Please do not PM me with support questions. Ask on the forums instead. Thank you!

My lucky number is 75898524288+1

Message boards : AP26 - AP27 Search : Are AP's also prime finders?

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