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Message boards : News : World Record Generalized Cullen 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 (4,999,118)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Ruby: Earned 2,000,000 credits (4,467,750)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 (8,293,415)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 Turquoise: Earned 5,000,000 credits (7,550,998)GFN Emerald: Earned 50,000,000 credits (65,526,211)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 132767 - Posted: 11 Sep 2019 | 12:54:24 UTC
Last modified: 11 Sep 2019 | 13:09:26 UTC

On 2 September 2019, 03:39:59 UTC, PrimeGrid’s Generalized Cullen/Woodall Prime Search found the largest known Generalized Cullen prime:

2805222*252805222+1

Generalized Cullen numbers are of the form: n*bn+1. Generalized Cullen numbers that are prime are called Generalized Cullen primes. For more information, please see “Cullen prime” in The Prime Glossary.

The prime is 3,921,539 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Generalized Cullen primes and 21st overall.

Base 25 was one of 11 primeless Generalized Cullen bases for b ≤121 that PrimeGrid is searching. The remaining bases are 13, 29, 47, 49, 55, 69, 73, 101, 109 & 121.

The discovery was made by Tom Greer (tng*) of the United States using an Intel(R) Core(TM) i9-9900X CPU @ 3.50GHz with 32GB RAM, running Microsoft Windows 10 Professional x64 Edition. His computer took 3 hours and 23 minutes to complete the primality test using multithreaded LLR. Tom is a member of the Sicituradastra team.

The prime was verified on 3 September 2019 05:15:11 UTC by Tim Terry (TimT) of the United States using an Intel(R) Core(TM) i7-7700K CPU @ 4.20GHz with 16GB RAM, running Microsoft Windows 10 Professional x64 Edition. This computer took about 24 hours 11 minutes to complete the primality test using multithreaded LLR. Tim is a member of the Aggie The Pew team.

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 Gold: Earned 500,000 credits (502,325)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,947,303)PPS LLR Sapphire: Earned 20,000,000 credits (38,173,467)PSP LLR Bronze: Earned 10,000 credits (23,710)SoB LLR Sapphire: Earned 20,000,000 credits (39,915,761)SR5 LLR Jade: Earned 10,000,000 credits (16,524,382)SGS LLR Jade: Earned 10,000,000 credits (10,487,324)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 (suspended) 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 (92,989,000)GFN Double Bronze: Earned 100,000,000 credits (122,438,841)PSA Emerald: Earned 50,000,000 credits (52,891,089)
Message 132781 - Posted: 11 Sep 2019 | 18:54:49 UTC - in response to Message 132767.

Congratulations tng and TimT!

Profile Eudy SilvaProject donor
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Found 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Gold: Earned 500,000 credits (834,329)Cullen LLR Amethyst: Earned 1,000,000 credits (1,011,118)ESP LLR Amethyst: Earned 1,000,000 credits (1,022,307)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,004,746)PPS LLR Turquoise: Earned 5,000,000 credits (6,185,993)PSP LLR Gold: Earned 500,000 credits (742,121)SoB LLR Ruby: Earned 2,000,000 credits (2,113,239)SR5 LLR Ruby: Earned 2,000,000 credits (2,729,231)SGS LLR Amethyst: Earned 1,000,000 credits (1,162,202)TRP LLR Amethyst: Earned 1,000,000 credits (1,309,179)Woodall LLR Amethyst: Earned 1,000,000 credits (1,001,901)321 Sieve Amethyst: Earned 1,000,000 credits (1,036,805)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,005,331)PPS Sieve Emerald: Earned 50,000,000 credits (63,539,979)AP 26/27 Sapphire: Earned 20,000,000 credits (21,480,459)GFN Sapphire: Earned 20,000,000 credits (25,471,331)
Message 132790 - Posted: 12 Sep 2019 | 2:34:44 UTC

Congratulations Tom and Tim !
____________
"Accidit in puncto, quod non contingit in anno."
Something that does not occur in a year may, perchance, happen in a moment.

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Message boards : News : World Record Generalized Cullen Prime

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