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Message boards : The Riesel Problem : k=273809 eliminated!

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Profile Michael GoetzProject donor
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Joined: 21 Jan 10
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Credit: 218,263,846
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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 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 (2,005,249)ESP LLR Turquoise: Earned 5,000,000 credits (5,009,577)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Jade: Earned 10,000,000 credits (12,843,762)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 (10,004,590)SGS LLR Ruby: Earned 2,000,000 credits (2,276,011)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 (9,401,911)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 (20,114,159)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 (10,114,260)GFN Emerald: Earned 50,000,000 credits (72,383,585)PSA Jade: Earned 10,000,000 credits (12,404,447)
Message 112293 - Posted: 13 Dec 2017 | 17:41:21 UTC

Congratulations to DeleteNull for finding the 2.6 million digit mega-prime 273809*2^8932416-1 and eliminating k=273809 from the Riesel Problem! 49 k's remain.

This is PrimeGrid's 60th mega prime of 2017, our 195th mega prime overall, and the 15th k eliminated by PrimeGrid from The Riesel Problem. This is also DeleteNull's second mega-prime, as well as the second k he's eliminated from one of the our conjecture projects. (Click here for the full list of DeleteNull's prime discoveries at PrimeGrid.)
____________
My lucky number is 75898524288+1
(I am NOT an administrator anymore, so please don't PM me with questions. I can't help.)

Profile Rafael
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321 LLR Turquoise: Earned 5,000,000 credits (7,001,858)Cullen LLR Turquoise: Earned 5,000,000 credits (6,975,928)ESP LLR Turquoise: Earned 5,000,000 credits (6,597,706)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (6,855,742)PPS LLR Turquoise: Earned 5,000,000 credits (6,346,543)PSP LLR Turquoise: Earned 5,000,000 credits (6,655,192)SoB LLR Turquoise: Earned 5,000,000 credits (6,390,120)SR5 LLR Turquoise: Earned 5,000,000 credits (6,913,425)SGS LLR Turquoise: Earned 5,000,000 credits (6,613,514)TRP LLR Turquoise: Earned 5,000,000 credits (6,155,477)Woodall LLR Turquoise: Earned 5,000,000 credits (6,857,548)321 Sieve Ruby: Earned 2,000,000 credits (3,074,430)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (10,037,204)PPS Sieve Jade: Earned 10,000,000 credits (10,305,147)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,053)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,030,160)AP 26/27 Jade: Earned 10,000,000 credits (10,253,048)GFN Sapphire: Earned 20,000,000 credits (26,797,188)PSA Double Bronze: Earned 100,000,000 credits (170,758,062)
Message 112294 - Posted: 13 Dec 2017 | 18:04:37 UTC

Nice christmas gift...

Chaotic DisorderProject donor
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Discovered 1 mega primeFound 1 prime in the 2018 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (12,772,341)Cullen LLR Gold: Earned 500,000 credits (588,204)ESP LLR Ruby: Earned 2,000,000 credits (3,650,366)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (765,031)PPS LLR Jade: Earned 10,000,000 credits (12,284,653)PSP LLR Amethyst: Earned 1,000,000 credits (1,881,456)SoB LLR Turquoise: Earned 5,000,000 credits (5,571,796)SR5 LLR Ruby: Earned 2,000,000 credits (3,017,622)SGS LLR Amethyst: Earned 1,000,000 credits (1,960,946)TRP LLR Amethyst: Earned 1,000,000 credits (1,182,488)Woodall LLR Gold: Earned 500,000 credits (719,170)321 Sieve Silver: Earned 100,000 credits (499,544)Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (26,059)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (3,566,529)PPS Sieve Emerald: Earned 50,000,000 credits (69,156,537)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Bronze: Earned 10,000 credits (25,179)TRP Sieve (suspended) Silver: Earned 100,000 credits (260,129)AP 26/27 Double Bronze: Earned 100,000,000 credits (101,083,086)GFN Emerald: Earned 50,000,000 credits (63,027,407)
Message 112295 - Posted: 13 Dec 2017 | 18:31:44 UTC - in response to Message 112293.
Last modified: 13 Dec 2017 | 18:36:33 UTC

So why does a k get eliminated if a prime is found? Is that the only one that is possible from it?

Edit: pardon my ignorance, I just read about The Riesel Problem and it answered my question.
____________

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Discovered 1 mega prime321 LLR Ruby: Earned 2,000,000 credits (2,691,081)Cullen LLR Turquoise: Earned 5,000,000 credits (5,031,868)ESP LLR Turquoise: Earned 5,000,000 credits (5,064,082)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,038,750)PPS LLR Turquoise: Earned 5,000,000 credits (5,000,220)PSP LLR Turquoise: Earned 5,000,000 credits (7,639,762)SoB LLR Sapphire: Earned 20,000,000 credits (42,604,648)SR5 LLR Jade: Earned 10,000,000 credits (11,829,173)SGS LLR Ruby: Earned 2,000,000 credits (2,070,105)TRP LLR Ruby: Earned 2,000,000 credits (2,291,092)Woodall LLR Turquoise: Earned 5,000,000 credits (5,046,412)321 Sieve Jade: Earned 10,000,000 credits (10,057,614)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,002,919)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,005,451)PPS Sieve Emerald: Earned 50,000,000 credits (52,042,965)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,341,676)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,804)AP 26/27 Jade: Earned 10,000,000 credits (10,742,251)GFN Emerald: Earned 50,000,000 credits (50,000,251)PSA Double Gold: Earned 500,000,000 credits (728,547,693)
Message 112296 - Posted: 13 Dec 2017 | 18:35:16 UTC - in response to Message 112295.
Last modified: 13 Dec 2017 | 18:41:06 UTC

So why does a k get eliminated if a prime is found? Is that the only one that is possible from it?

http://www.prothsearch.com/rieselprob.html

or

http://www.primegrid.com/forum_thread.php?id=1731

Profile DeleteNullProject donor
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Joined: 6 Apr 06
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Discovered 23 mega primesEliminated 3 conjecture "k"sFound 4 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 4 primes in the 2019 Tour de PrimesFound 2 mega primes in the 2019 Tour de PrimesFound 1 prime in the 2019 Tour de Primes Mountain StageFound 2 primes in the 2020 Tour de PrimesFound 1 mega prime in the 2020 Tour de Primes321 LLR Emerald: Earned 50,000,000 credits (60,657,554)Cullen LLR Emerald: Earned 50,000,000 credits (51,425,403)ESP LLR Emerald: Earned 50,000,000 credits (61,429,176)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (59,199,415)PPS LLR Double Silver: Earned 200,000,000 credits (201,163,547)PSP LLR Emerald: Earned 50,000,000 credits (76,449,391)SoB LLR Emerald: Earned 50,000,000 credits (71,933,705)SR5 LLR Emerald: Earned 50,000,000 credits (75,345,778)SGS LLR Emerald: Earned 50,000,000 credits (54,295,707)TPS LLR (retired) Bronze: Earned 10,000 credits (61,785)TRP LLR Emerald: Earned 50,000,000 credits (61,671,238)Woodall LLR Emerald: Earned 50,000,000 credits (50,544,668)321 Sieve Emerald: Earned 50,000,000 credits (63,039,849)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,685,309)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (53,324,439)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (3,281,635,257)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,057,785)TRP Sieve (suspended) Emerald: Earned 50,000,000 credits (50,146,560)AP 26/27 Double Silver: Earned 200,000,000 credits (228,209,344)GFN Double Amethyst: Earned 1,000,000,000 credits (1,350,088,276)PSA Double Silver: Earned 200,000,000 credits (204,786,115)
Message 112300 - Posted: 13 Dec 2017 | 20:11:36 UTC - in response to Message 112293.
Last modified: 13 Dec 2017 | 20:12:15 UTC

Congratulations to DeleteNull for finding the 2.6 million digit mega-prime 273809*2^8932416-1 and eliminating k=273809 from the Riesel Problem! 49 k's remain.


Many thanks to all who have helped to make this possible! I am the lucky one who got this special workunit to eleminate that k.

And 49 k remain, so there will be other lucky (and patient) finders in the future ;)
____________
DeleteNull

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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 112315 - Posted: 14 Dec 2017 | 15:29:14 UTC

Congratulations!
That's pretty amazing. More than 3 years since a k was eliminated in TRP last time!

Michael BeckerProject donor
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Discovered 1 mega primeEliminated 1 conjecture "k"321 LLR Turquoise: Earned 5,000,000 credits (5,005,512)Cullen LLR Turquoise: Earned 5,000,000 credits (5,014,519)ESP LLR Turquoise: Earned 5,000,000 credits (5,076,956)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (31,587,497)PPS LLR Sapphire: Earned 20,000,000 credits (25,933,854)PSP LLR Turquoise: Earned 5,000,000 credits (5,016,050)SoB LLR Turquoise: Earned 5,000,000 credits (5,013,831)SR5 LLR Sapphire: Earned 20,000,000 credits (22,047,756)SGS LLR Turquoise: Earned 5,000,000 credits (5,076,722)TRP LLR Turquoise: Earned 5,000,000 credits (5,412,265)Woodall LLR Turquoise: Earned 5,000,000 credits (5,018,004)321 Sieve Jade: Earned 10,000,000 credits (10,347,246)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,969,265)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,094)PPS Sieve Emerald: Earned 50,000,000 credits (51,368,787)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,001,345)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,224,085)AP 26/27 Sapphire: Earned 20,000,000 credits (25,288,965)GFN Sapphire: Earned 20,000,000 credits (39,205,178)PSA Sapphire: Earned 20,000,000 credits (28,861,785)
Message 112317 - Posted: 14 Dec 2017 | 18:48:56 UTC - in response to Message 112315.

Congratulations!!

Anthony Ayiomamitis
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Credit: 707,029,860
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Found 2 primes in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,035,398)Cullen LLR Ruby: Earned 2,000,000 credits (2,047,548)ESP LLR Ruby: Earned 2,000,000 credits (2,243,168)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,014,465)PPS LLR Jade: Earned 10,000,000 credits (16,263,838)PSP LLR Ruby: Earned 2,000,000 credits (4,335,939)SoB LLR Turquoise: Earned 5,000,000 credits (5,319,493)SR5 LLR Turquoise: Earned 5,000,000 credits (5,093,822)SGS LLR Ruby: Earned 2,000,000 credits (2,040,979)TRP LLR Ruby: Earned 2,000,000 credits (2,045,113)Woodall LLR Ruby: Earned 2,000,000 credits (2,097,219)321 Sieve Double Bronze: Earned 100,000,000 credits (102,285,033)Generalized Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (100,500,349)PPS Sieve Double Silver: Earned 200,000,000 credits (243,349,119)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (14,516,062)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,329,228)AP 26/27 Sapphire: Earned 20,000,000 credits (20,303,946)GFN Sapphire: Earned 20,000,000 credits (43,688,488)PSA Double Bronze: Earned 100,000,000 credits (116,531,700)
Message 112318 - Posted: 14 Dec 2017 | 18:56:10 UTC - in response to Message 112317.

My congrats as well.

Profile Eudy SilvaProject donor
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Credit: 159,538,421
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Discovered 1 mega primeFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,012,503)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 Jade: Earned 10,000,000 credits (10,218,949)PSP LLR Amethyst: Earned 1,000,000 credits (1,123,300)SoB LLR Ruby: Earned 2,000,000 credits (2,113,239)SR5 LLR Ruby: Earned 2,000,000 credits (2,947,019)SGS LLR Amethyst: Earned 1,000,000 credits (1,462,951)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 (1,119,749)Generalized Cullen/Woodall Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,005,331)PPS Sieve Emerald: Earned 50,000,000 credits (63,577,060)AP 26/27 Sapphire: Earned 20,000,000 credits (24,326,731)GFN Sapphire: Earned 20,000,000 credits (43,226,477)PSA Ruby: Earned 2,000,000 credits (2,059,222)
Message 112319 - Posted: 14 Dec 2017 | 19:04:44 UTC - in response to Message 112318.

Well done !

Profile Rick Reynolds
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Credit: 5,022,982,816
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Discovered 2 mega primesFound 2 primes in the 2018 Tour de PrimesFound 2 primes in the 2019 Tour de PrimesFound 12 primes in the 2020 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (5,076,824)Cullen LLR Turquoise: Earned 5,000,000 credits (5,287,148)ESP LLR Turquoise: Earned 5,000,000 credits (5,174,327)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,028,260)PPS LLR Sapphire: Earned 20,000,000 credits (38,620,190)PSP LLR Turquoise: Earned 5,000,000 credits (5,151,448)SoB LLR Turquoise: Earned 5,000,000 credits (5,014,268)SR5 LLR Jade: Earned 10,000,000 credits (14,871,275)SGS LLR Turquoise: Earned 5,000,000 credits (7,860,522)TRP LLR Turquoise: Earned 5,000,000 credits (6,568,836)Woodall LLR Turquoise: Earned 5,000,000 credits (5,036,418)321 Sieve Emerald: Earned 50,000,000 credits (93,762,812)Cullen/Woodall Sieve (suspended) Double Bronze: Earned 100,000,000 credits (127,922,665)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (30,984,158)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (2,761,079,363)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Turquoise: Earned 5,000,000 credits (8,134,964)TRP Sieve (suspended) Turquoise: Earned 5,000,000 credits (7,013,696)AP 26/27 Double Silver: Earned 200,000,000 credits (276,723,135)GFN Double Silver: Earned 200,000,000 credits (242,976,290)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 112321 - Posted: 14 Dec 2017 | 20:03:58 UTC

Big congrats !

Profile DaveProject donor
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Found 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (6,002,936)Cullen LLR Turquoise: Earned 5,000,000 credits (5,005,909)ESP LLR Turquoise: Earned 5,000,000 credits (5,303,526)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,202,873)PPS LLR Turquoise: Earned 5,000,000 credits (5,900,040)PSP LLR Turquoise: Earned 5,000,000 credits (5,513,728)SoB LLR Turquoise: Earned 5,000,000 credits (8,851,996)SR5 LLR Turquoise: Earned 5,000,000 credits (5,199,189)SGS LLR Turquoise: Earned 5,000,000 credits (5,100,018)TRP LLR Turquoise: Earned 5,000,000 credits (5,008,328)Woodall LLR Turquoise: Earned 5,000,000 credits (5,124,820)321 Sieve Turquoise: Earned 5,000,000 credits (5,179,143)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (268,250)Generalized Cullen/Woodall Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,502)PPS Sieve Double Silver: Earned 200,000,000 credits (300,002,145)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,133)TRP Sieve (suspended) Jade: Earned 10,000,000 credits (10,000,970)AP 26/27 Double Bronze: Earned 100,000,000 credits (158,631,148)GFN Double Bronze: Earned 100,000,000 credits (130,000,018)PSA Double Silver: Earned 200,000,000 credits (200,000,001)
Message 112322 - Posted: 14 Dec 2017 | 20:15:03 UTC

Another +1 well done - nice achievement to (nearly) end the year.

Iain BethuneProject donor
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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 Bronze: Earned 10,000 credits (20,003)Cullen/Woodall Sieve (suspended) 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 112323 - Posted: 14 Dec 2017 | 20:59:25 UTC - in response to Message 112322.

Another +1


Nope, it's a -1 (Riesel), not Proth ;)
____________
Twitter: IainBethune
Proud member of team "Aggie The Pew". Go Aggie!
3073428256125*2^1290000-1 is Prime!

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Joined: 5 Apr 14
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Found 1 prime in the 2020 Tour de Primes321 LLR Silver: Earned 100,000 credits (360,928)Cullen LLR Bronze: Earned 10,000 credits (98,851)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Ruby: Earned 2,000,000 credits (4,481,204)PSP LLR Silver: Earned 100,000 credits (212,242)SoB LLR Silver: Earned 100,000 credits (237,390)SR5 LLR Silver: Earned 100,000 credits (145,419)SGS LLR Bronze: Earned 10,000 credits (99,305)TRP LLR Bronze: Earned 10,000 credits (71,060)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve Silver: Earned 100,000 credits (175,037)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 112327 - Posted: 14 Dec 2017 | 22:11:25 UTC - in response to Message 112323.

Another +1


Nope, it's a -1 (Riesel), not Proth ;)


Ha ha.

But it depends on the perspective. If you write the candidate as:

N = k·2^n - 1


then you are right, we see a minus one.

But if you express instead, in terms of N, the number that is smooth to factor, that is N + 1, so for example in the help for PFGW, you can see:

-t currently performs a deterministic test. By default this is an N-1
test, but N+1 testing may be selected with '-tp'. N-1 or N+1 is
factored, and Pocklington's or Morrison's Theorem is applied. If 33%
size of N prime factors are available, the Brillhart-Lehmer-Selfridge
test is applied for conclusive proof of primality. If less than 33%
is factored, this test provides 'F-strong' probable primality with
respect to the factored part F.


And in Caldwell's Primality Proving pages, the term N+1 test is used in the same sense.

So Riesel is an N+1 test.

+1 to me.

/JeppeSN

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Posts: 35
ID: 493939
Credit: 1,731,287
RAC: 55
ESP LLR Bronze: Earned 10,000 credits (16,306)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (10,411)PPS LLR Bronze: Earned 10,000 credits (52,599)SR5 LLR Bronze: Earned 10,000 credits (11,350)SGS LLR Bronze: Earned 10,000 credits (24,946)321 Sieve Bronze: Earned 10,000 credits (24,395)Generalized Cullen/Woodall Sieve (suspended) Bronze: Earned 10,000 credits (58,434)PPS Sieve Gold: Earned 500,000 credits (515,763)AP 26/27 Silver: Earned 100,000 credits (177,892)GFN Gold: Earned 500,000 credits (596,181)PSA Silver: Earned 100,000 credits (243,010)
Message 112337 - Posted: 15 Dec 2017 | 7:52:31 UTC

4th place in Riesel primes top!
Very nice!
____________
(252^6548-1)^2-2 is prime! Small, but mine.
134137784^32768+1(DC)
107853608^8192+1(DC)
10465966^16384+1(DC)

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Credit: 55,710,613
RAC: 18,812
Eliminated 1 conjecture "k"Found 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 Silver: Earned 100,000 credits (229,492)Cullen LLR Silver: Earned 100,000 credits (110,733)PPS LLR Turquoise: Earned 5,000,000 credits (5,561,881)PSP LLR Silver: Earned 100,000 credits (104,385)SoB LLR Silver: Earned 100,000 credits (106,117)SR5 LLR Silver: Earned 100,000 credits (139,802)SGS LLR Amethyst: Earned 1,000,000 credits (1,323,052)TRP LLR Silver: Earned 100,000 credits (122,712)Woodall LLR Silver: Earned 100,000 credits (122,944)321 Sieve Silver: Earned 100,000 credits (104,900)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,599)Generalized Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (515,556)PPS Sieve Jade: Earned 10,000,000 credits (11,593,037)TRP Sieve (suspended) Silver: Earned 100,000 credits (255,612)AP 26/27 Ruby: Earned 2,000,000 credits (2,579,917)GFN Sapphire: Earned 20,000,000 credits (23,317,763)PSA Turquoise: Earned 5,000,000 credits (7,522,050)
Message 112338 - Posted: 15 Dec 2017 | 8:16:53 UTC - in response to Message 112337.
Last modified: 15 Dec 2017 | 8:17:09 UTC

That is what I call "the prime" :)

Congratulations!
____________
314187728^131072+1 GENERALIZED FERMAT :)
93*10^1029523-1 REPDIGIT PRIME
31*332^367560+1 CRUS PRIME
Proud member of team Aggie The Pew. Go Aggie!

Message boards : The Riesel Problem : k=273809 eliminated!

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