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Message boards : Generalized Fermat Prime Search : Consecutive GFN's

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Discovered 1 mega primeFound 4 primes in the 2018 Tour de PrimesFound 10 primes in the 2019 Tour de PrimesFound 4 primes in the 2020 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,871,060)Cullen LLR Amethyst: Earned 1,000,000 credits (1,340,128)ESP LLR Amethyst: Earned 1,000,000 credits (1,472,060)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,140,355)PPS LLR Emerald: Earned 50,000,000 credits (64,728,394)PSP LLR Amethyst: Earned 1,000,000 credits (1,503,730)SoB LLR Amethyst: Earned 1,000,000 credits (1,138,655)SR5 LLR Amethyst: Earned 1,000,000 credits (1,045,681)SGS LLR Turquoise: Earned 5,000,000 credits (5,319,797)TRP LLR Turquoise: Earned 5,000,000 credits (5,581,651)Woodall LLR Amethyst: Earned 1,000,000 credits (1,140,478)321 Sieve Sapphire: Earned 20,000,000 credits (33,411,940)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (26,370,379)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,314,137,156)AP 26/27 Jade: Earned 10,000,000 credits (10,568,402)GFN Double Bronze: Earned 100,000,000 credits (169,105,696)
Message 128376 - Posted: 28 Mar 2019 | 2:20:51 UTC

Not long ago, I noticed that there is a project to find consecutive GFN primes on another server and thought today I'd give it a go.

Strange thing is, as I searched the PrimeGrid forums for more info, I found this...

https://www.primegrid.com/forum_thread.php?id=7921#116075

It would appear that I totally forgot that I already found consecutive GFN-15's here on PrimeGrid. At the time, the only consecutive GFN-15s found here.

(For those interested, the primes were found on two different computers, one has been retired, the other computer is still running. https://www.primegrid.com/show_host_detail.php?hostid=915292.

Have any other consecutive GFN primes been found here? If so, may I 'humbly' suggest that a new badge be created and granted to members that find these rare consecutive GFN primes, there's more out there, Robish should be able to find em!

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 Jade: Earned 10,000,000 credits (10,762,872)PSA Gold: Earned 500,000 credits (525,639)
Message 128378 - Posted: 28 Mar 2019 | 10:09:00 UTC - in response to Message 128376.

Consecutive GFN-13 and GFN-14 primes searches have already finished. See topics this and this.

There are tons more primes of that size than GFN-15 and higher, yet still there were only one new pair found in each of the hunts. So, a rarer yet event in the higher ones.

Jim very recently updated this page, anyone can see for themselves if there are new consecutive pairs.

I'm not really sure if it's something that should have a badge. There are exclusive badges for finding first GFN prime of some size or first GCW number with some base, but this one is just "congrats, you won a lottery"-type, dunno.

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 Jade: Earned 10,000,000 credits (10,762,872)PSA Gold: Earned 500,000 credits (525,639)
Message 128379 - Posted: 28 Mar 2019 | 12:04:19 UTC - in response to Message 128378.

Jim very recently updated this page, anyone can see for themselves if there are new consecutive pairs.

checked with a simple script, there are none other.

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Discovered the World's First AP27!!!Discovered 9 mega primesDiscovered 1 AP272018 Tour de Primes largest primeFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (9,681,253)Cullen LLR Sapphire: Earned 20,000,000 credits (38,463,074)ESP LLR Turquoise: Earned 5,000,000 credits (6,404,450)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (7,386,197)PPS LLR Emerald: Earned 50,000,000 credits (53,649,559)PSP LLR Turquoise: Earned 5,000,000 credits (7,863,505)SoB LLR Sapphire: Earned 20,000,000 credits (36,772,233)SR5 LLR Turquoise: Earned 5,000,000 credits (8,519,461)SGS LLR Turquoise: Earned 5,000,000 credits (5,250,624)TRP LLR Sapphire: Earned 20,000,000 credits (28,497,135)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (7,141,753)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (841,182,485)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Emerald: Earned 50,000,000 credits (89,993,137)GFN Double Ruby: Earned 2,000,000,000 credits (3,900,702,813)
Message 128381 - Posted: 28 Mar 2019 | 12:17:13 UTC - in response to Message 128376.



Have any other consecutive GFN primes been found here? If so, may I 'humbly' suggest that a new badge be created and granted to members that find these rare consecutive GFN primes, there's more out there, Robish should be able to find em!



:) Thanks for the vote of confidence :)

However, I found one of a pair of GFN 14s, whereas you found both GFN15's so I reckon you win! :)

There is this other interesting project to find the first GFN 16 Mega Prime, currently running. CPU only. Just started a few weeks back.

https://www.primegrid.com/forum_thread.php?id=8504&nowrap=true#127964




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Discovered 1 mega primeFound 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 Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (11,055,307)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,215)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) 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 (53,545,357)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 128383 - Posted: 28 Mar 2019 | 12:58:50 UTC - in response to Message 128376.

Have any other consecutive GFN primes been found here? If so, may I 'humbly' suggest that a new badge be created and granted to members that find these rare consecutive GFN primes, there's more out there, Robish should be able to find em!

There was a calculation of probability of consecutive primes for each N in one of threads mentioned above. For GFN-15 it was very low, for GFN-16 - close to impossible. Mike probably could run one more query on the database, like it did early, but I don't think there'll be any results. You were really lucky finding this one. We know 3 pairs for GFN-13 and 1 pair for GFN-14, and it was in full Genefer range (400M).

Profile Michael GoetzProject donor
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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 128391 - Posted: 28 Mar 2019 | 15:50:58 UTC - in response to Message 128383.

Mike probably could run one more query on the database, like it did early, but I don't think there'll be any results.


That is correct.
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Profile CGBProject donor
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Joined: 5 Sep 17
Posts: 19
ID: 921601
Credit: 1,641,875,562
RAC: 40,990
Discovered 1 mega primeFound 4 primes in the 2018 Tour de PrimesFound 10 primes in the 2019 Tour de PrimesFound 4 primes in the 2020 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,871,060)Cullen LLR Amethyst: Earned 1,000,000 credits (1,340,128)ESP LLR Amethyst: Earned 1,000,000 credits (1,472,060)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,140,355)PPS LLR Emerald: Earned 50,000,000 credits (64,728,394)PSP LLR Amethyst: Earned 1,000,000 credits (1,503,730)SoB LLR Amethyst: Earned 1,000,000 credits (1,138,655)SR5 LLR Amethyst: Earned 1,000,000 credits (1,045,681)SGS LLR Turquoise: Earned 5,000,000 credits (5,319,797)TRP LLR Turquoise: Earned 5,000,000 credits (5,581,651)Woodall LLR Amethyst: Earned 1,000,000 credits (1,140,478)321 Sieve Sapphire: Earned 20,000,000 credits (33,411,940)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (26,370,379)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,314,137,156)AP 26/27 Jade: Earned 10,000,000 credits (10,568,402)GFN Double Bronze: Earned 100,000,000 credits (169,105,696)
Message 128430 - Posted: 29 Mar 2019 | 17:52:49 UTC

Thank you dukebg for the links, they made for interesting reading. I have come to agree that it's kind of pointless to have a special badge for these consecutive finds.

A little over a year ago when I found those two primes, Michael congratulated me for finding those "special primes" in a different thread. At the time, I was ignorant as to just how special the finds were.



:) Thanks for the vote of confidence :)

However, I found one of a pair of GFN 14s, whereas you found both GFN15's so I reckon you win! :)

There is this other interesting project to find the first GFN 16 Mega Prime, currently running. CPU only. Just started a few weeks back.

https://www.primegrid.com/forum_thread.php?id=8504&nowrap=true#127964





Thank you Robish! But seeing that you were 'trying' to find the GFN 14s where as my finding the GFN 15s was just insanely good blind luck, it feels more like you are the bigger winner.

You knew what you were looking for, put in the effort, cycles and kilo watts = bigger winner in my books. :)

The GFN 16 MEGA hunt looks interesting, might join the search myself.

Cheers everyone!

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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 128438 - Posted: 29 Mar 2019 | 20:07:51 UTC - in response to Message 128391.

Mike probably could run one more query on the database, like it did early, but I don't think there'll be any results.


That is correct.


Gah, That was horrendously ambiguous.

I meant that "but I don't think there'll be any results" was correct. I didn't mean "Mike probably could run one more query" was correct.

There's no other pairs in the database.
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My lucky number is 75898524288+1

Message boards : Generalized Fermat Prime Search : Consecutive GFN's

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