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Message boards : News : World Record Generalized Cullen Prime!

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Van ZimmermanProject donor
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Joined: 30 Aug 12
Posts: 1678
ID: 168418
Credit: 3,776,817,513
RAC: 4,722,299
321 LLR Jade: Earned 10,000,000 credits (12,508,466)Cullen LLR Jade: Earned 10,000,000 credits (11,032,867)ESP LLR Jade: Earned 10,000,000 credits (10,201,695)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (11,676,507)PPS LLR Jade: Earned 10,000,000 credits (12,221,654)PSP LLR Jade: Earned 10,000,000 credits (17,826,235)SoB LLR Jade: Earned 10,000,000 credits (12,238,176)SR5 LLR Jade: Earned 10,000,000 credits (11,124,412)SGS LLR Jade: Earned 10,000,000 credits (10,477,420)TRP LLR Jade: Earned 10,000,000 credits (13,236,666)Woodall LLR Jade: Earned 10,000,000 credits (11,647,747)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (18,073,742)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,000,651,011)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,189,695)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,102,079)AP 26/27 Emerald: Earned 50,000,000 credits (50,488,984)GFN Double Ruby: Earned 2,000,000,000 credits (2,384,881,915)PSA Double Bronze: Earned 100,000,000 credits (168,236,054)
Message 109522 - Posted: 23 Aug 2017 | 14:45:13 UTC
Last modified: 23 Aug 2017 | 16:27:18 UTC

On 21 August 2017, 14:51:43 UTC, PrimeGrid’s Generalized Cullen/Woodall Prime Search found the largest known generalized Cullen prime:

1341174*53^1341174+1

Generalized Cullen numbers are of the form: n*b^n+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 2,312,561 digits long and enters Chris Caldwell's The Largest Known Primes Database ranked 1st for Generalized Cullen primes and 30th overall.

The discovery was made by Hiroyuki Okazaki (zunewantan) of Japan using an Intel(R) CPU @ 2.90GHz with 16GB RAM, running Linux. This computer took about 12 hours and 39 minutes to complete the primality test using multithreaded LLR. Hiroyuki is a member of the Aggie The Pew team.

The prime was verified on 22 August 2017 17:24:17 UTC by user wuzzat of Australia using an Intel(R) Xeon(R) E5-2620 v3 CPU @ 2.40GHz with 256GB RAM, running Microsoft Windows Server 2008R2. This computer took about 31 hours 41 minutes to complete the primality test using LLR. Wuzzat is a member of the BOINC@AUSTRALIA team.

For more details, please see the official announcement.

Profile bill1024
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Joined: 9 Jan 14
Posts: 43
ID: 292175
Credit: 175,999,523
RAC: 388,638
321 LLR Ruby: Earned 2,000,000 credits (3,866,565)Cullen LLR Ruby: Earned 2,000,000 credits (4,143,507)ESP LLR Ruby: Earned 2,000,000 credits (3,054,195)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,439,321)PPS LLR Jade: Earned 10,000,000 credits (15,351,701)PSP LLR Turquoise: Earned 5,000,000 credits (9,667,992)SoB LLR Ruby: Earned 2,000,000 credits (2,217,138)SR5 LLR Ruby: Earned 2,000,000 credits (4,071,587)SGS LLR Turquoise: Earned 5,000,000 credits (5,880,738)TRP LLR Ruby: Earned 2,000,000 credits (3,571,132)Woodall LLR Gold: Earned 500,000 credits (778,474)Generalized Cullen/Woodall Sieve Jade: Earned 10,000,000 credits (15,036,066)PPS Sieve Emerald: Earned 50,000,000 credits (60,546,531)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,500,272)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (3,470,782)AP 26/27 Turquoise: Earned 5,000,000 credits (6,436,456)GFN Sapphire: Earned 20,000,000 credits (34,893,552)PSA Bronze: Earned 10,000 credits (83,164)
Message 109531 - Posted: 23 Aug 2017 | 16:46:35 UTC - in response to Message 109522.

Congratulations, nice find!!!

JeppeSNProject donor
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Joined: 5 Apr 14
Posts: 566
ID: 306875
Credit: 7,695,120
RAC: 1,911
PPS LLR Bronze: Earned 10,000 credits (65,110)TRP LLR Bronze: Earned 10,000 credits (14,746)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 109540 - Posted: 23 Aug 2017 | 20:23:08 UTC - in response to Message 109522.

On 21 August 2017, 14:51:43 UTC,

That was less than an hour before the first penumbral contact during the solar eclipse (P1 at 15:46:48 UTC). Cool find. /JeppeSN

numbermaniac
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Joined: 28 Mar 14
Posts: 78
ID: 305955
Credit: 2,630,709
RAC: 793
321 LLR Bronze: Earned 10,000 credits (11,818)PPS LLR Silver: Earned 100,000 credits (269,821)SR5 LLR Bronze: Earned 10,000 credits (34,115)SGS LLR Bronze: Earned 10,000 credits (31,612)Generalized Cullen/Woodall Sieve Silver: Earned 100,000 credits (211,357)PPS Sieve Amethyst: Earned 1,000,000 credits (1,574,257)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (34,269)TRP Sieve (suspended) Bronze: Earned 10,000 credits (32,679)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Silver: Earned 100,000 credits (296,380)PSA Silver: Earned 100,000 credits (122,325)
Message 109628 - Posted: 27 Aug 2017 | 2:45:13 UTC - in response to Message 109522.

Multithreaded LLR? That's a thing now?!
____________
6603*2^1411654+1 PPSE

Michael GoetzProject donor
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Joined: 21 Jan 10
Posts: 9640
ID: 53948
Credit: 107,070,913
RAC: 95,954
321 LLR Amethyst: Earned 1,000,000 credits (1,169,719)Cullen LLR Amethyst: Earned 1,000,000 credits (1,157,331)ESP LLR Amethyst: Earned 1,000,000 credits (1,179,211)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,330,821)PPS LLR Amethyst: Earned 1,000,000 credits (1,254,873)PSP LLR Ruby: Earned 2,000,000 credits (2,632,269)SoB LLR Ruby: Earned 2,000,000 credits (2,153,211)SR5 LLR Turquoise: Earned 5,000,000 credits (6,048,315)SGS LLR Amethyst: Earned 1,000,000 credits (1,680,461)TRP LLR Amethyst: Earned 1,000,000 credits (1,183,026)Woodall LLR Amethyst: Earned 1,000,000 credits (1,145,077)321 Sieve (suspended) Silver: Earned 100,000 credits (200,576)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,170,256)Generalized Cullen/Woodall Sieve Ruby: Earned 2,000,000 credits (2,085,723)PPS Sieve Jade: Earned 10,000,000 credits (18,175,834)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 (5,881,239)GFN Sapphire: Earned 20,000,000 credits (42,507,589)PSA Jade: Earned 10,000,000 credits (10,028,791)
Message 109632 - Posted: 27 Aug 2017 | 6:17:38 UTC - in response to Message 109628.

Multithreaded LLR? That's a thing now?!


It is.

You have to use app_config to enable it.


____________

Please do not PM me with support questions. They will usually go unanswered. Ask on the forums instead. Thank you!

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Message boards : News : World Record Generalized Cullen Prime!

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