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Message boards : News : GFN-524288 Mega Prime!

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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 (2,063,182)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Ruby: Earned 2,000,000 credits (2,770,356)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,158,496)SR5 LLR Turquoise: Earned 5,000,000 credits (8,199,113)SGS LLR Ruby: Earned 2,000,000 credits (2,011,264)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 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 Turquoise: Earned 5,000,000 credits (7,090,096)GFN Emerald: Earned 50,000,000 credits (64,594,991)PSA Jade: Earned 10,000,000 credits (10,135,447)
Message 130939 - Posted: 8 Jul 2019 | 12:20:47 UTC
Last modified: 8 Jul 2019 | 12:32:52 UTC

On 29 June 2019, 00:54:18 UTC, PrimeGrid’s Generalized Fermat Prime Search found the Generalized Fermat mega prime:

2877652^524288+1

The prime is 3,386,397 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 3rd for Generalized Fermat primes and 26th overall.

The discovery was made by Roman Vogt (Tabaluga) of Germany using an NVIDIA GeForce GTX 1060 in an Intel(R) Core(TM) i7-2700K CPU @ 3.50GHz CPU with 16GB RAM, running Windows 10. This GPU took about 1 hour and 42 minutes to probable prime (PRP) test with GeneferOCL5. Roman is a member of the Sicituradastra. team.

The PRP was verified on 29 June 2019, 08:52:47 by Carlo Villa (carlo) using an NVIDIA GeForce 830M in an Intel(R) Core(TM) i5-5200U CPU @ 2.20GHz with 8GB RAM, running Windows 10. This GPU took about 16 hours and 55 minutes to probable prime (PRP) test with GeneferOCL5.

The PRP was confirmed prime by an Intel(R) Xeon(R) CPU E3-1240 v6 @ 3.70GHz with 4GB RAM, running Linux. This computer took about 25 hours 53 minutes to complete the primality test using multithreaded LLR.

For more details, please see the official announcement.

Profile Jordan Romaidis
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Discovered 2 mega primesEliminated 1 conjecture "k"Found 1 prime in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (4,574,478)Cullen LLR Ruby: Earned 2,000,000 credits (2,080,460)ESP LLR Silver: Earned 100,000 credits (426,778)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,027,244)PPS LLR Sapphire: Earned 20,000,000 credits (33,880,221)PSP LLR Bronze: Earned 10,000 credits (23,710)SoB LLR Sapphire: Earned 20,000,000 credits (37,931,829)SR5 LLR Jade: Earned 10,000,000 credits (16,524,382)SGS LLR Ruby: Earned 2,000,000 credits (2,191,693)TRP LLR Gold: Earned 500,000 credits (525,711)Woodall LLR Jade: Earned 10,000,000 credits (15,028,246)321 Sieve Amethyst: Earned 1,000,000 credits (1,062,420)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,606,749)PPS Sieve Sapphire: Earned 20,000,000 credits (23,296,981)AP 26/27 Emerald: Earned 50,000,000 credits (52,631,774)GFN Emerald: Earned 50,000,000 credits (93,793,886)PSA Emerald: Earned 50,000,000 credits (52,891,089)
Message 131357 - Posted: 21 Jul 2019 | 23:27:18 UTC - in response to Message 130939.

How can I tell what GFN project this was from? GFN19. GFN20?

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 (2,063,182)Cullen LLR Ruby: Earned 2,000,000 credits (2,005,249)ESP LLR Ruby: Earned 2,000,000 credits (2,001,789)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Ruby: Earned 2,000,000 credits (2,770,356)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Sapphire: Earned 20,000,000 credits (34,158,496)SR5 LLR Turquoise: Earned 5,000,000 credits (8,199,113)SGS LLR Ruby: Earned 2,000,000 credits (2,011,264)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 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 Turquoise: Earned 5,000,000 credits (7,090,096)GFN Emerald: Earned 50,000,000 credits (64,594,991)PSA Jade: Earned 10,000,000 credits (10,135,447)
Message 131359 - Posted: 22 Jul 2019 | 0:18:25 UTC - in response to Message 131357.

How can I tell what GFN project this was from? GFN19. GFN20?


GFN-19 --> b219+1 --> b524288+1

In GFN's, the numbers are always of the form bn+1, where n must be a power of 2. WHICH power of two is what we use to determine what we call it. 210 is 1024, so GFN-10 would be b1024+1. 220 is 1048576, so GFN-20 is b1048576+1.

In this case, 219 is 524288, so GFN-19 is b524288+1. Does that make sense?
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Please do not PM me with support questions. Ask on the forums instead. Thank you!

My lucky number is 75898524288+1

Profile RobishProject donor
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Discovered 7 mega primes2018 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 Primes321 LLR Turquoise: Earned 5,000,000 credits (5,232,081)Cullen LLR Turquoise: Earned 5,000,000 credits (8,142,092)ESP LLR Turquoise: Earned 5,000,000 credits (5,078,685)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,466,498)PPS LLR Sapphire: Earned 20,000,000 credits (27,870,221)PSP LLR Turquoise: Earned 5,000,000 credits (5,053,061)SoB LLR Sapphire: Earned 20,000,000 credits (34,676,425)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,583)SGS LLR Turquoise: Earned 5,000,000 credits (5,000,646)TRP LLR Jade: Earned 10,000,000 credits (11,919,895)Woodall LLR Turquoise: Earned 5,000,000 credits (5,062,771)321 Sieve Turquoise: Earned 5,000,000 credits (5,025,452)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,892,369)Generalized Cullen/Woodall Sieve Turquoise: Earned 5,000,000 credits (5,515,338)PPS Sieve Double Gold: Earned 500,000,000 credits (771,146,589)TRP Sieve (suspended) Silver: Earned 100,000 credits (121,416)AP 26/27 Sapphire: Earned 20,000,000 credits (23,687,937)GFN Double Amethyst: Earned 1,000,000,000 credits (1,640,960,019)
Message 131360 - Posted: 22 Jul 2019 | 0:20:20 UTC
Last modified: 22 Jul 2019 | 0:22:05 UTC

Gfn19. 524288 is 2^19.

Sorry Mike you type too quick :)
____________
My lucky number's 10590941048576+1 and 5641491616384+1 (GFN-14 Consecutive Prime)

Profile Jordan Romaidis
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Joined: 11 May 17
Posts: 141
ID: 880615
Credit: 360,405,017
RAC: 1,413,491
Discovered 2 mega primesEliminated 1 conjecture "k"Found 1 prime in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (4,574,478)Cullen LLR Ruby: Earned 2,000,000 credits (2,080,460)ESP LLR Silver: Earned 100,000 credits (426,778)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (3,027,244)PPS LLR Sapphire: Earned 20,000,000 credits (33,880,221)PSP LLR Bronze: Earned 10,000 credits (23,710)SoB LLR Sapphire: Earned 20,000,000 credits (37,931,829)SR5 LLR Jade: Earned 10,000,000 credits (16,524,382)SGS LLR Ruby: Earned 2,000,000 credits (2,191,693)TRP LLR Gold: Earned 500,000 credits (525,711)Woodall LLR Jade: Earned 10,000,000 credits (15,028,246)321 Sieve Amethyst: Earned 1,000,000 credits (1,062,420)Generalized Cullen/Woodall Sieve Sapphire: Earned 20,000,000 credits (20,606,749)PPS Sieve Sapphire: Earned 20,000,000 credits (23,296,981)AP 26/27 Emerald: Earned 50,000,000 credits (52,631,774)GFN Emerald: Earned 50,000,000 credits (93,793,886)PSA Emerald: Earned 50,000,000 credits (52,891,089)
Message 131380 - Posted: 22 Jul 2019 | 18:07:53 UTC

I understand now! Thank you both!

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Message boards : News : GFN-524288 Mega Prime!

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