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Message boards : Generalized Fermat Prime Search : GFN n=17 prime found!

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Profile Michael GoetzProject donor
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Joined: 21 Jan 10
Posts: 14037
ID: 53948
Credit: 476,923,882
RAC: 275,501
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 2 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 PrimesFound 2 primes in the 2021 Tour de PrimesFound 2 primes in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de PrimesFound 1 prime in the 2022 Tour de Primes Mountain StageFound 1 prime in the 2023 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (6,949,793)Cullen LLR Turquoise: Earned 5,000,000 credits (5,513,946)ESP LLR Turquoise: Earned 5,000,000 credits (7,150,009)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,094,541)PPS LLR Sapphire: Earned 20,000,000 credits (24,049,916)PSP LLR Jade: Earned 10,000,000 credits (11,203,327)SoB LLR Sapphire: Earned 20,000,000 credits (36,601,737)SR5 LLR Sapphire: Earned 20,000,000 credits (22,821,256)SGS LLR Turquoise: Earned 5,000,000 credits (6,381,959)TRP LLR Turquoise: Earned 5,000,000 credits (6,308,522)Woodall LLR Turquoise: Earned 5,000,000 credits (6,390,624)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,061,196)Cullen/Woodall Sieve Emerald: Earned 50,000,000 credits (51,764,198)Generalized Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,059,304)PPS Sieve Sapphire: Earned 20,000,000 credits (22,888,492)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 Sapphire: Earned 20,000,000 credits (23,237,838)GFN Double Bronze: Earned 100,000,000 credits (120,616,519)WW (retired) Emerald: Earned 50,000,000 credits (88,580,000)PSA Jade: Earned 10,000,000 credits (13,196,884)
Message 86534 - Posted: 2 Jul 2015 | 10:28:26 UTC

909548^131072+1 is 781036 digits long and was discovered by Sylvanus Zimmerman of the United States.

Congratulations!

This answers the question about whether all of these numbers had been checked before. Are there any more primes to be found before we switch to n=18? We're going to continue searching n=17 up to b=1,300,000.
____________
My lucky number is 75898524288+1

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Iain BethuneProject donor
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Joined: 28 Jan 09
Posts: 1588
ID: 34775
Credit: 194,056,043
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321 LLR Gold: Earned 500,000 credits (597,175)Cullen LLR Amethyst: Earned 1,000,000 credits (1,355,381)ESP LLR Turquoise: Earned 5,000,000 credits (5,048,594)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,564,412)PPS LLR Amethyst: Earned 1,000,000 credits (1,025,115)PSP LLR Sapphire: Earned 20,000,000 credits (28,367,849)SoB LLR Jade: Earned 10,000,000 credits (16,215,329)SR5 LLR Turquoise: Earned 5,000,000 credits (5,189,992)SGS LLR Amethyst: Earned 1,000,000 credits (1,244,067)TRP LLR Turquoise: Earned 5,000,000 credits (5,169,405)Woodall LLR Amethyst: Earned 1,000,000 credits (1,070,956)321 Sieve (suspended) Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve Silver: Earned 100,000 credits (200,371)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (11,645,025)PPS Sieve Turquoise: Earned 5,000,000 credits (7,536,532)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,017,144)TRP Sieve (suspended) Gold: Earned 500,000 credits (554,946)AP 26/27 Ruby: Earned 2,000,000 credits (3,577,848)GFN Emerald: Earned 50,000,000 credits (97,047,976)PSA Ruby: Earned 2,000,000 credits (4,606,694)
Message 86536 - Posted: 2 Jul 2015 | 10:48:39 UTC - in response to Message 86534.

Great find! It is unclear exactly how much of this range was checked before (certainly not double-checked). I hope we do find some more :)
____________
Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

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Profile JeppeSNProject donor
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Joined: 5 Apr 14
Posts: 1850
ID: 306875
Credit: 52,342,444
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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (684,183)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (174,818)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (112,799)PPS LLR Sapphire: Earned 20,000,000 credits (21,757,335)PSP LLR Gold: Earned 500,000 credits (598,093)SoB LLR Gold: Earned 500,000 credits (774,243)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (142,930)TRP LLR Silver: Earned 100,000 credits (476,246)Woodall LLR Silver: Earned 100,000 credits (281,400)321 Sieve (suspended) Silver: Earned 100,000 credits (175,037)Cullen/Woodall Sieve Bronze: Earned 10,000 credits (22,952)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (52,559)GFN Ruby: Earned 2,000,000 credits (4,988,252)WW (retired) Jade: Earned 10,000,000 credits (13,756,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 86537 - Posted: 2 Jul 2015 | 13:54:37 UTC

This is just huge enough to make it into the GF Top 20, on the 20th place.

I am planning to update OEIS A253854 and my page.

/JeppeSN

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Van ZimmermanProject donor
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Joined: 30 Aug 12
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ID: 168418
Credit: 6,315,554,899
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Discovered the World's First GFN-20 prime!!!Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de Primes321 LLR Sapphire: Earned 20,000,000 credits (20,089,185)Cullen LLR Sapphire: Earned 20,000,000 credits (21,197,588)ESP LLR Sapphire: Earned 20,000,000 credits (20,089,407)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (21,873,609)PPS LLR Sapphire: Earned 20,000,000 credits (21,918,476)PSP LLR Sapphire: Earned 20,000,000 credits (20,117,197)SoB LLR Sapphire: Earned 20,000,000 credits (26,779,370)SR5 LLR Sapphire: Earned 20,000,000 credits (20,278,667)SGS LLR Sapphire: Earned 20,000,000 credits (20,055,153)TRP LLR Sapphire: Earned 20,000,000 credits (20,619,871)Woodall LLR Sapphire: Earned 20,000,000 credits (20,394,541)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (28,148,632)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,373,251)PPS Sieve Double Amethyst: Earned 1,000,000,000 credits (1,051,222,753)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 (60,248,786)GFN Double Ruby: Earned 2,000,000,000 credits (4,703,540,875)PSA Double Bronze: Earned 100,000,000 credits (198,313,575)
Message 86787 - Posted: 21 Jul 2015 | 23:57:25 UTC - in response to Message 86537.

I was starting to wonder if I would ever hit a decent one.

On a 7 year old machine, no less.

http://www.primegrid.com/workunit.php?wuid=439017900

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Message boards : Generalized Fermat Prime Search : GFN n=17 prime found!

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