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Message boards : Wieferich and Wall-Sun-Sun Prime Search : We set a new world record in WSS nearness

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Profile JeppeSNProject donor
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Joined: 5 Apr 14
Posts: 1753
ID: 306875
Credit: 46,935,857
RAC: 15,026
Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)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 Jade: Earned 10,000,000 credits (17,668,923)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (112,277)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)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,231,842)WW Jade: Earned 10,000,000 credits (13,756,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 149395 - Posted: 14 Mar 2021 | 7:27:31 UTC
Last modified: 14 Mar 2021 | 7:28:33 UTC

Dear all,

A recent Wall-Sun-Sun (WSS) find from DeleteNull (double checker wwwwww):

2569278229005192557 is a WallSunSun special instance (+0 +12 p)

If you use the natural measure |A|/p to see how close it is to being a WSS, you get:
|A|/p = 12/2569278229005192557 = 4.67*10^{-18}
This is smaller than for any other known prime!

I keep a list of such records at OEIS A339855 where the new entry will soon appear as #47 in the Link Jeppe Stig Nielsen, Table of n, a(n).

(Last time PrimeGrid found a WSS record of this kind was in June 2015 on PRPNet when user zunewantan found 104868559750360787 (0 +1 p), so |A|/p = 9.54*10^{-18}.)

/JeppeSN

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Joined: 11 Feb 17
Posts: 95
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Credit: 18,716,356
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321 LLR Silver: Earned 100,000 credits (322,129)Cullen LLR Silver: Earned 100,000 credits (181,773)ESP LLR Silver: Earned 100,000 credits (239,556)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (233,672)PPS LLR Gold: Earned 500,000 credits (602,515)PSP LLR Silver: Earned 100,000 credits (321,756)SoB LLR Turquoise: Earned 5,000,000 credits (8,750,357)SR5 LLR Silver: Earned 100,000 credits (192,051)SGS LLR Silver: Earned 100,000 credits (391,392)TRP LLR Gold: Earned 500,000 credits (508,064)Woodall LLR Silver: Earned 100,000 credits (279,919)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,952,453)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,299)PPS Sieve Silver: Earned 100,000 credits (168,405)AP 26/27 Silver: Earned 100,000 credits (218,322)GFN Gold: Earned 500,000 credits (548,127)WW Gold: Earned 500,000 credits (508,000)PSA Silver: Earned 100,000 credits (292,160)
Message 149401 - Posted: 14 Mar 2021 | 10:22:48 UTC

Congratulutions!
____________

Profile Rick Reynolds
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Discovered 3 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 PrimesFound 2 primes in the 2021 Tour de PrimesFound 1 mega prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,244,909)Cullen LLR Jade: Earned 10,000,000 credits (10,194,451)ESP LLR Jade: Earned 10,000,000 credits (10,735,017)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,216,354)PPS LLR Emerald: Earned 50,000,000 credits (73,178,392)PSP LLR Turquoise: Earned 5,000,000 credits (5,151,448)SoB LLR Jade: Earned 10,000,000 credits (10,045,557)SR5 LLR Jade: Earned 10,000,000 credits (14,871,275)SGS LLR Turquoise: Earned 5,000,000 credits (7,860,522)TRP LLR Jade: Earned 10,000,000 credits (11,130,742)Woodall LLR Turquoise: Earned 5,000,000 credits (5,419,909)321 Sieve (suspended) Double Bronze: Earned 100,000,000 credits (101,538,236)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 (2,840,173,136)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 (349,277,565)WW Double Amethyst: Earned 1,000,000,000 credits (1,431,508,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 149459 - Posted: 15 Mar 2021 | 12:43:26 UTC

Congrats DeleteNull !

Profile Eudy SilvaProject donor
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Joined: 26 Aug 17
Posts: 1953
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Credit: 557,540,263
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Discovered 2 mega primesFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,187,213)Cullen LLR Amethyst: Earned 1,000,000 credits (1,349,947)ESP LLR Amethyst: Earned 1,000,000 credits (1,151,976)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,199,207)PPS LLR Sapphire: Earned 20,000,000 credits (29,164,997)PSP LLR Amethyst: Earned 1,000,000 credits (1,476,639)SoB LLR Ruby: Earned 2,000,000 credits (2,432,091)SR5 LLR Ruby: Earned 2,000,000 credits (3,137,603)SGS LLR Amethyst: Earned 1,000,000 credits (1,462,951)TRP LLR Ruby: Earned 2,000,000 credits (2,010,675)Woodall LLR Amethyst: Earned 1,000,000 credits (1,231,973)321 Sieve (suspended) 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 Double Bronze: Earned 100,000,000 credits (100,101,845)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,120,852)GFN Double Bronze: Earned 100,000,000 credits (107,135,994)WW Double Silver: Earned 200,000,000 credits (200,192,000)PSA Ruby: Earned 2,000,000 credits (2,059,222)
Message 149461 - Posted: 15 Mar 2021 | 14:12:12 UTC

Congratulations, DeleteNull !
____________

"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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Joined: 6 Apr 06
Posts: 263
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Credit: 12,515,108,946
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Discovered 69 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 PrimesFound 4 primes in the 2021 Tour de PrimesFound 2 mega primes in the 2021 Tour de PrimesFound 2 primes in the 2022 Tour de PrimesFound 2 mega primes in the 2022 Tour de Primes321 LLR Double Bronze: Earned 100,000,000 credits (100,400,495)Cullen LLR Emerald: Earned 50,000,000 credits (85,273,861)ESP LLR Emerald: Earned 50,000,000 credits (73,880,409)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (66,597,607)PPS LLR Double Gold: Earned 500,000,000 credits (500,580,171)PSP LLR Double Bronze: Earned 100,000,000 credits (100,970,333)SoB LLR Double Bronze: Earned 100,000,000 credits (102,624,508)SR5 LLR Double Bronze: Earned 100,000,000 credits (114,278,918)SGS LLR Emerald: Earned 50,000,000 credits (54,295,707)TPS LLR (retired) Bronze: Earned 10,000 credits (61,785)TRP LLR Double Bronze: Earned 100,000,000 credits (126,892,378)Woodall LLR Emerald: Earned 50,000,000 credits (76,371,408)321 Sieve (suspended) 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 (4,095,745,366)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 Gold: Earned 500,000,000 credits (504,799,060)GFN Double Ruby: Earned 2,000,000,000 credits (3,082,512,872)WW Double Ruby: Earned 2,000,000,000 credits (3,008,232,000)PSA Double Silver: Earned 200,000,000 credits (231,350,682)
Message 149473 - Posted: 15 Mar 2021 | 22:14:25 UTC

Thank you all. Who will find a smaller A?
____________
DeleteNull

Profile Eudy SilvaProject donor
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Joined: 26 Aug 17
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Credit: 557,540,263
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Discovered 2 mega primesFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,187,213)Cullen LLR Amethyst: Earned 1,000,000 credits (1,349,947)ESP LLR Amethyst: Earned 1,000,000 credits (1,151,976)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,199,207)PPS LLR Sapphire: Earned 20,000,000 credits (29,164,997)PSP LLR Amethyst: Earned 1,000,000 credits (1,476,639)SoB LLR Ruby: Earned 2,000,000 credits (2,432,091)SR5 LLR Ruby: Earned 2,000,000 credits (3,137,603)SGS LLR Amethyst: Earned 1,000,000 credits (1,462,951)TRP LLR Ruby: Earned 2,000,000 credits (2,010,675)Woodall LLR Amethyst: Earned 1,000,000 credits (1,231,973)321 Sieve (suspended) 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 Double Bronze: Earned 100,000,000 credits (100,101,845)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,120,852)GFN Double Bronze: Earned 100,000,000 credits (107,135,994)WW Double Silver: Earned 200,000,000 credits (200,192,000)PSA Ruby: Earned 2,000,000 credits (2,059,222)
Message 149478 - Posted: 16 Mar 2021 | 0:25:04 UTC - in response to Message 149473.

Thank you all. Who will find a smaller A?

This would be an 'a' :)
____________

"Accidit in puncto, quod non contingit in anno."
Something that does not occur in a year may, perchance, happen in a moment.

Profile DaveProject donor
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Joined: 13 Feb 12
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Credit: 2,186,200,497
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Found 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2020 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,109,047)Cullen LLR Jade: Earned 10,000,000 credits (11,176,639)ESP LLR Jade: Earned 10,000,000 credits (10,281,780)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,431,005)PPS LLR Jade: Earned 10,000,000 credits (10,668,439)PSP LLR Jade: Earned 10,000,000 credits (10,255,208)SoB LLR Jade: Earned 10,000,000 credits (11,058,625)SR5 LLR Jade: Earned 10,000,000 credits (11,026,764)SGS LLR Jade: Earned 10,000,000 credits (10,182,053)TRP LLR Jade: Earned 10,000,000 credits (11,822,692)Woodall LLR Jade: Earned 10,000,000 credits (12,204,063)321 Sieve (suspended) Jade: Earned 10,000,000 credits (10,003,334)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 (310,223,017)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 Silver: Earned 200,000,000 credits (210,688,816)GFN Double Silver: Earned 200,000,000 credits (205,799,160)WW Double Amethyst: Earned 1,000,000,000 credits (1,100,000,000)PSA Double Silver: Earned 200,000,000 credits (200,000,001)
Message 149481 - Posted: 16 Mar 2021 | 6:50:02 UTC - in response to Message 149478.
Last modified: 16 Mar 2021 | 6:50:58 UTC

Thank you all. Who will find a smaller A?

This would be an 'a' :)

a
I win.

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Joined: 25 Feb 20
Posts: 511
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Credit: 410,902,756
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321 LLR Ruby: Earned 2,000,000 credits (2,092,823)Cullen LLR Ruby: Earned 2,000,000 credits (2,315,295)ESP LLR Ruby: Earned 2,000,000 credits (2,151,088)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,620,968)PPS LLR Jade: Earned 10,000,000 credits (14,029,990)PSP LLR Ruby: Earned 2,000,000 credits (2,064,832)SoB LLR Ruby: Earned 2,000,000 credits (2,434,466)SR5 LLR Ruby: Earned 2,000,000 credits (2,065,004)SGS LLR Ruby: Earned 2,000,000 credits (2,027,649)TRP LLR Ruby: Earned 2,000,000 credits (2,089,856)Woodall LLR Ruby: Earned 2,000,000 credits (2,112,258)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,107,153)PPS Sieve Turquoise: Earned 5,000,000 credits (5,096,952)AP 26/27 Turquoise: Earned 5,000,000 credits (5,797,662)GFN Jade: Earned 10,000,000 credits (10,874,159)WW Double Silver: Earned 200,000,000 credits (349,980,000)PSA Amethyst: Earned 1,000,000 credits (1,042,601)
Message 149545 - Posted: 19 Mar 2021 | 13:25:31 UTC - in response to Message 149481.
Last modified: 19 Mar 2021 | 13:29:40 UTC

Why is |A| divided by p?

The remainder r is already divided by p to yield |A| if I'm not mistaken. So why do we divide the remainder by p²?
____________
1281979 * 2^485014 + 1 is prime ... no further hits up to: n = 5,700,000

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)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 Jade: Earned 10,000,000 credits (17,668,923)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (112,277)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)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,231,842)WW Jade: Earned 10,000,000 credits (13,756,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 149550 - Posted: 19 Mar 2021 | 21:17:08 UTC - in response to Message 149545.

Why is |A| divided by p?

The remainder r is already divided by p to yield |A| if I'm not mistaken. So why do we divide the remainder by p²?


In a way, |A|/p is like a "random" number between 0 and 0.5.

Consider first a prime near 1 million, say 1'000'003. The A of this one could be any integer from the list -500'001, -500'000, -499'999, ..., -2, -1, 0, +1, +2, ..., +500'001. For such a number to get an A with |A| <= 1000 corresponds to a "probability" (in quotes) of about 0.2%. In fact, we have:
1'000'003 is a WallSunSun special instance (+0 -343'227 p)


Now, think of a prime near 1 billion, namely 1'000'000'007. Now A is from -500'000'003 through +500'000'003. So the probability that this should have an |A| <= 1000 is only 0.0002%. In this case:
1'000'000'007 is a WallSunSun special instance (+0 -72'187'555 p)


In fact, the second example is more "lucky", in a sense. Even though its |A| is much higher.

The measure |A|/p is clearly about 0.34 for the first one (bad). But for the second one, |A|/p is quite good, 0.07.

For comparison, the one DeleteNull found had |A|/p equal to:
0.00000000000000000467

Not sure if this explains it?

/JeppeSN

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Discovered 69 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 PrimesFound 4 primes in the 2021 Tour de PrimesFound 2 mega primes in the 2021 Tour de PrimesFound 2 primes in the 2022 Tour de PrimesFound 2 mega primes in the 2022 Tour de Primes321 LLR Double Bronze: Earned 100,000,000 credits (100,400,495)Cullen LLR Emerald: Earned 50,000,000 credits (85,273,861)ESP LLR Emerald: Earned 50,000,000 credits (73,880,409)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (66,597,607)PPS LLR Double Gold: Earned 500,000,000 credits (500,580,171)PSP LLR Double Bronze: Earned 100,000,000 credits (100,970,333)SoB LLR Double Bronze: Earned 100,000,000 credits (102,624,508)SR5 LLR Double Bronze: Earned 100,000,000 credits (114,278,918)SGS LLR Emerald: Earned 50,000,000 credits (54,295,707)TPS LLR (retired) Bronze: Earned 10,000 credits (61,785)TRP LLR Double Bronze: Earned 100,000,000 credits (126,892,378)Woodall LLR Emerald: Earned 50,000,000 credits (76,371,408)321 Sieve (suspended) 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 (4,095,745,366)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 Gold: Earned 500,000,000 credits (504,799,060)GFN Double Ruby: Earned 2,000,000,000 credits (3,082,512,872)WW Double Ruby: Earned 2,000,000,000 credits (3,008,232,000)PSA Double Silver: Earned 200,000,000 credits (231,350,682)
Message 149558 - Posted: 20 Mar 2021 | 12:03:14 UTC - in response to Message 149550.

May be we should add badges for small |A|, so people would have more understanding about the difficulty to find such small.
____________
DeleteNull

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)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 Jade: Earned 10,000,000 credits (17,668,923)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (112,277)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)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,231,842)WW Jade: Earned 10,000,000 credits (13,756,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 149563 - Posted: 20 Mar 2021 | 16:49:21 UTC - in response to Message 149558.

All we have are badges for A=0, namely:
World First Wall-Sun-Sun prime
(there is no World First for Wieferichs because Waldemar Meißner found the the first Wieferich prime by hand in 1913)

And:
a Wall-Sun-Sun prime
a Wieferich prime

Maybe these badges will never be awarded.

/JeppeSN

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Discovered 1 Fermat divisor321 LLR Amethyst: Earned 1,000,000 credits (1,405,414)Cullen LLR Silver: Earned 100,000 credits (465,280)ESP LLR Turquoise: Earned 5,000,000 credits (5,422,341)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (38,023)PPS LLR Double Silver: Earned 200,000,000 credits (245,005,568)PSP LLR Emerald: Earned 50,000,000 credits (56,201,753)SoB LLR Double Gold: Earned 500,000,000 credits (537,070,781)SR5 LLR Emerald: Earned 50,000,000 credits (72,241,221)TRP LLR Gold: Earned 500,000 credits (935,975)Woodall LLR Gold: Earned 500,000 credits (740,422)321 Sieve (suspended) Silver: Earned 100,000 credits (461,396)Cullen/Woodall Sieve (suspended) Silver: Earned 100,000 credits (189,614)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (3,464,910,945)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Silver: Earned 100,000 credits (213,104)TRP Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,091,635)AP 26/27 Double Silver: Earned 200,000,000 credits (463,804,874)GFN Double Turquoise: Earned 5,000,000,000 credits (5,746,766,499)WW Double Jade: Earned 10,000,000,000 credits (14,723,896,000)
Message 149565 - Posted: 20 Mar 2021 | 17:38:27 UTC - in response to Message 149563.

All we have are badges for A=0, namely:
World First Wall-Sun-Sun prime
(there is no World First for Wieferichs because Waldemar Meißner found the the first Wieferich prime by hand in 1913)

And:
a Wall-Sun-Sun prime
a Wieferich prime

Maybe these badges will never be awarded.

/JeppeSN


hopefully, the will !!!

regards,

Grzegorz Roman Granowski
____________

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Cullen LLR Gold: Earned 500,000 credits (501,229)PPS LLR Silver: Earned 100,000 credits (108,492)SGS LLR Bronze: Earned 10,000 credits (15,167)PPS Sieve Bronze: Earned 10,000 credits (77,533)AP 26/27 Amethyst: Earned 1,000,000 credits (1,196,728)GFN Silver: Earned 100,000 credits (216,350)WW Amethyst: Earned 1,000,000 credits (1,104,000)
Message 149618 - Posted: 23 Mar 2021 | 9:26:12 UTC - in response to Message 149565.

Kind of interesting would be a badge, which goes to the current world record holder. And maybe a badge if you had the badge once...

So not a fix badge, but kind of "travelling" badge...
____________
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"MiauiKatze" is german and means as much as "mewing cat"!
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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 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 Stage321 LLR Turquoise: Earned 5,000,000 credits (6,638,389)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 (23,847,031)PSP LLR Turquoise: Earned 5,000,000 credits (7,956,186)SoB LLR Sapphire: Earned 20,000,000 credits (36,067,618)SR5 LLR Jade: Earned 10,000,000 credits (13,659,368)SGS LLR Turquoise: Earned 5,000,000 credits (5,037,630)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 (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 (22,885,121)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 (10,902,645)GFN Emerald: Earned 50,000,000 credits (93,205,328)WW Emerald: Earned 50,000,000 credits (86,228,000)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 149624 - Posted: 23 Mar 2021 | 10:28:59 UTC - in response to Message 149618.

Kind of interesting would be a badge, which goes to the current world record holder. And maybe a badge if you had the badge once...

So not a fix badge, but kind of "travelling" badge...


That probably won't happen while my lungs draw breath. I'm very much against awards that get taken away from users.
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Cullen LLR Gold: Earned 500,000 credits (501,229)PPS LLR Silver: Earned 100,000 credits (108,492)SGS LLR Bronze: Earned 10,000 credits (15,167)PPS Sieve Bronze: Earned 10,000 credits (77,533)AP 26/27 Amethyst: Earned 1,000,000 credits (1,196,728)GFN Silver: Earned 100,000 credits (216,350)WW Amethyst: Earned 1,000,000 credits (1,104,000)
Message 149640 - Posted: 24 Mar 2021 | 9:43:36 UTC - in response to Message 149624.

Kind of interesting would be a badge, which goes to the current world record holder. And maybe a badge if you had the badge once...

So not a fix badge, but kind of "travelling" badge...


That probably won't happen while my lungs draw breath. I'm very much against awards that get taken away from users.


Ok, I haven't seen that this way...
You are completely right!
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"MiauiKatze" is german and means as much as "mewing cat"!
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Joined: 5 Apr 14
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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)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 Jade: Earned 10,000,000 credits (17,668,923)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (112,277)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)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,231,842)WW Jade: Earned 10,000,000 credits (13,756,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 149709 - Posted: 27 Mar 2021 | 23:03:59 UTC

That record did not stand long!

Rick Reynolds (with double checker sakage@otoge) found:

3071294187877470251 is a WallSunSun special instance (+0 +14 p)

This gives:
|A|/p = 14/3071294187877470251 = 4.56*10^{-18}
which is smaller (i.e. nearer) than DeleteNull's record from earlier this month.

Congratulations. I will update OEIS A339855 again.

/JeppeSN

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Joined: 6 Apr 06
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Discovered 69 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 PrimesFound 4 primes in the 2021 Tour de PrimesFound 2 mega primes in the 2021 Tour de PrimesFound 2 primes in the 2022 Tour de PrimesFound 2 mega primes in the 2022 Tour de Primes321 LLR Double Bronze: Earned 100,000,000 credits (100,400,495)Cullen LLR Emerald: Earned 50,000,000 credits (85,273,861)ESP LLR Emerald: Earned 50,000,000 credits (73,880,409)Generalized Cullen/Woodall LLR Emerald: Earned 50,000,000 credits (66,597,607)PPS LLR Double Gold: Earned 500,000,000 credits (500,580,171)PSP LLR Double Bronze: Earned 100,000,000 credits (100,970,333)SoB LLR Double Bronze: Earned 100,000,000 credits (102,624,508)SR5 LLR Double Bronze: Earned 100,000,000 credits (114,278,918)SGS LLR Emerald: Earned 50,000,000 credits (54,295,707)TPS LLR (retired) Bronze: Earned 10,000 credits (61,785)TRP LLR Double Bronze: Earned 100,000,000 credits (126,892,378)Woodall LLR Emerald: Earned 50,000,000 credits (76,371,408)321 Sieve (suspended) 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 (4,095,745,366)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 Gold: Earned 500,000,000 credits (504,799,060)GFN Double Ruby: Earned 2,000,000,000 credits (3,082,512,872)WW Double Ruby: Earned 2,000,000,000 credits (3,008,232,000)PSA Double Silver: Earned 200,000,000 credits (231,350,682)
Message 149710 - Posted: 27 Mar 2021 | 23:41:50 UTC - in response to Message 149709.

Congrats Rick!

Progress seems very fast from 25... to 30...
____________
DeleteNull

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Discovered 3 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 PrimesFound 2 primes in the 2021 Tour de PrimesFound 1 mega prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,244,909)Cullen LLR Jade: Earned 10,000,000 credits (10,194,451)ESP LLR Jade: Earned 10,000,000 credits (10,735,017)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,216,354)PPS LLR Emerald: Earned 50,000,000 credits (73,178,392)PSP LLR Turquoise: Earned 5,000,000 credits (5,151,448)SoB LLR Jade: Earned 10,000,000 credits (10,045,557)SR5 LLR Jade: Earned 10,000,000 credits (14,871,275)SGS LLR Turquoise: Earned 5,000,000 credits (7,860,522)TRP LLR Jade: Earned 10,000,000 credits (11,130,742)Woodall LLR Turquoise: Earned 5,000,000 credits (5,419,909)321 Sieve (suspended) Double Bronze: Earned 100,000,000 credits (101,538,236)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 (2,840,173,136)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 (349,277,565)WW Double Amethyst: Earned 1,000,000,000 credits (1,431,508,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 149711 - Posted: 27 Mar 2021 | 23:47:29 UTC - in response to Message 149710.

Congrats Rick!

Progress seems very fast from 25... to 30...

Thanks didn’t even realize until now. Bet it won’t last long!

Cheers

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Joined: 16 Feb 10
Posts: 1049
ID: 55391
Credit: 903,611,927
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Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (6,055,323)Cullen LLR Gold: Earned 500,000 credits (776,297)ESP LLR Ruby: Earned 2,000,000 credits (3,433,680)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,443,837)PPS LLR Sapphire: Earned 20,000,000 credits (37,469,219)PSP LLR Turquoise: Earned 5,000,000 credits (6,587,988)SoB LLR Sapphire: Earned 20,000,000 credits (45,081,394)SR5 LLR Turquoise: Earned 5,000,000 credits (6,205,694)SGS LLR Ruby: Earned 2,000,000 credits (3,627,819)TRP LLR Turquoise: Earned 5,000,000 credits (7,549,201)Woodall LLR Amethyst: Earned 1,000,000 credits (1,720,974)321 Sieve (suspended) Emerald: Earned 50,000,000 credits (50,256,050)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,571,178)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,009,610)PPS Sieve Double Silver: Earned 200,000,000 credits (463,452,443)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,165,888)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,071,454)AP 26/27 Turquoise: Earned 5,000,000 credits (6,798,063)GFN Emerald: Earned 50,000,000 credits (57,113,430)WW Jade: Earned 10,000,000 credits (16,472,000)PSA Double Bronze: Earned 100,000,000 credits (102,762,384)
Message 149712 - Posted: 28 Mar 2021 | 0:11:24 UTC
Last modified: 28 Mar 2021 | 1:10:10 UTC

I'd better get on the bandwagon before it's gone.

Except that my GTX 760 takes 20 times longer to run a task than my wingman.
(I came equipped for this gumfight. Oh! he said GUNfight. LOL)

EDIT:
I uninstalled the NVidia driver (418.181.07) that comes from Debian's nonfree section and installed the latest (460.67) that I could get from nvidia.com and I see a whopping 20% improvement in WW runtimes. Is this for real or just the natural variation in task runtimes?

It is probably for real. The GPU utilization went up, from 83% to 97%.

WAITAMINUTE. I went from 1 thread per task to 2 threads per task. This would account for the higher GPU utilization. But I expected the CPU time to double, instead of dropping by 1/3 to 1/2. So it could yet be the driver.

Profile Eudy SilvaProject donor
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Joined: 26 Aug 17
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Discovered 2 mega primesFound 2 primes in the 2018 Tour de PrimesFound 1 prime in the 2019 Tour de PrimesFound 1 prime in the 2020 Tour de PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,187,213)Cullen LLR Amethyst: Earned 1,000,000 credits (1,349,947)ESP LLR Amethyst: Earned 1,000,000 credits (1,151,976)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,199,207)PPS LLR Sapphire: Earned 20,000,000 credits (29,164,997)PSP LLR Amethyst: Earned 1,000,000 credits (1,476,639)SoB LLR Ruby: Earned 2,000,000 credits (2,432,091)SR5 LLR Ruby: Earned 2,000,000 credits (3,137,603)SGS LLR Amethyst: Earned 1,000,000 credits (1,462,951)TRP LLR Ruby: Earned 2,000,000 credits (2,010,675)Woodall LLR Amethyst: Earned 1,000,000 credits (1,231,973)321 Sieve (suspended) 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 Double Bronze: Earned 100,000,000 credits (100,101,845)AP 26/27 Double Bronze: Earned 100,000,000 credits (100,120,852)GFN Double Bronze: Earned 100,000,000 credits (107,135,994)WW Double Silver: Earned 200,000,000 credits (200,192,000)PSA Ruby: Earned 2,000,000 credits (2,059,222)
Message 149713 - Posted: 28 Mar 2021 | 0:36:35 UTC

Congrats, RR !
____________

"Accidit in puncto, quod non contingit in anno."
Something that does not occur in a year may, perchance, happen in a moment.

Profile Rick Reynolds
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Joined: 13 Aug 10
Posts: 8159
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Credit: 6,713,024,615
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Discovered 3 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 PrimesFound 2 primes in the 2021 Tour de PrimesFound 1 mega prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,244,909)Cullen LLR Jade: Earned 10,000,000 credits (10,194,451)ESP LLR Jade: Earned 10,000,000 credits (10,735,017)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,216,354)PPS LLR Emerald: Earned 50,000,000 credits (73,178,392)PSP LLR Turquoise: Earned 5,000,000 credits (5,151,448)SoB LLR Jade: Earned 10,000,000 credits (10,045,557)SR5 LLR Jade: Earned 10,000,000 credits (14,871,275)SGS LLR Turquoise: Earned 5,000,000 credits (7,860,522)TRP LLR Jade: Earned 10,000,000 credits (11,130,742)Woodall LLR Turquoise: Earned 5,000,000 credits (5,419,909)321 Sieve (suspended) Double Bronze: Earned 100,000,000 credits (101,538,236)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 (2,840,173,136)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 (349,277,565)WW Double Amethyst: Earned 1,000,000,000 credits (1,431,508,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,370,700,486)
Message 149726 - Posted: 28 Mar 2021 | 23:40:29 UTC - in response to Message 149713.

Congrats, RR !

Thank you!

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Joined: 16 Feb 10
Posts: 1049
ID: 55391
Credit: 903,611,927
RAC: 170,270
Discovered 2 mega primesFound 1 prime in the 2018 Tour de PrimesFound 1 prime in the 2022 Tour de Primes321 LLR Turquoise: Earned 5,000,000 credits (6,055,323)Cullen LLR Gold: Earned 500,000 credits (776,297)ESP LLR Ruby: Earned 2,000,000 credits (3,433,680)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,443,837)PPS LLR Sapphire: Earned 20,000,000 credits (37,469,219)PSP LLR Turquoise: Earned 5,000,000 credits (6,587,988)SoB LLR Sapphire: Earned 20,000,000 credits (45,081,394)SR5 LLR Turquoise: Earned 5,000,000 credits (6,205,694)SGS LLR Ruby: Earned 2,000,000 credits (3,627,819)TRP LLR Turquoise: Earned 5,000,000 credits (7,549,201)Woodall LLR Amethyst: Earned 1,000,000 credits (1,720,974)321 Sieve (suspended) Emerald: Earned 50,000,000 credits (50,256,050)Cullen/Woodall Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,571,178)Generalized Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (50,009,610)PPS Sieve Double Silver: Earned 200,000,000 credits (463,452,443)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Jade: Earned 10,000,000 credits (10,165,888)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,071,454)AP 26/27 Turquoise: Earned 5,000,000 credits (6,798,063)GFN Emerald: Earned 50,000,000 credits (57,113,430)WW Jade: Earned 10,000,000 credits (16,472,000)PSA Double Bronze: Earned 100,000,000 credits (102,762,384)
Message 149749 - Posted: 30 Mar 2021 | 6:53:39 UTC

The change of driver configuration has a minor contribution to the speedup.
It shaves 20 seconds (2.2%) from PPS sieve.
This is understandable. I had the whole gamut of management interfaces hooked into the driver installed from the Debian repo, whereas I have none of that when I installed the driver downloaded from NVidia.

Chara34122
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Joined: 11 Feb 17
Posts: 95
ID: 490242
Credit: 18,716,356
RAC: 12,632
321 LLR Silver: Earned 100,000 credits (322,129)Cullen LLR Silver: Earned 100,000 credits (181,773)ESP LLR Silver: Earned 100,000 credits (239,556)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (233,672)PPS LLR Gold: Earned 500,000 credits (602,515)PSP LLR Silver: Earned 100,000 credits (321,756)SoB LLR Turquoise: Earned 5,000,000 credits (8,750,357)SR5 LLR Silver: Earned 100,000 credits (192,051)SGS LLR Silver: Earned 100,000 credits (391,392)TRP LLR Gold: Earned 500,000 credits (508,064)Woodall LLR Silver: Earned 100,000 credits (279,919)321 Sieve (suspended) Ruby: Earned 2,000,000 credits (2,952,453)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,299)PPS Sieve Silver: Earned 100,000 credits (168,405)AP 26/27 Silver: Earned 100,000 credits (218,322)GFN Gold: Earned 500,000 credits (548,127)WW Gold: Earned 500,000 credits (508,000)PSA Silver: Earned 100,000 credits (292,160)
Message 149757 - Posted: 30 Mar 2021 | 19:54:56 UTC

Again congrats! And with Wieferich (+1) with a<10!
____________

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Joined: 5 Apr 14
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ID: 306875
Credit: 46,935,857
RAC: 15,026
Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)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 Jade: Earned 10,000,000 credits (17,668,923)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (112,277)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)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,231,842)WW Jade: Earned 10,000,000 credits (13,756,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 149758 - Posted: 30 Mar 2021 | 20:23:02 UTC - in response to Message 149757.

Again congrats! And with Wieferich (+1) with a<10!


Yes, really nice! Maybe deserves a separate thread because it is not a Wall-Sun-Sun. /JeppeSN

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Joined: 5 Apr 14
Posts: 1753
ID: 306875
Credit: 46,935,857
RAC: 15,026
Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (593,283)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 Jade: Earned 10,000,000 credits (17,668,923)PSP LLR Silver: Earned 100,000 credits (428,457)SoB LLR Silver: Earned 100,000 credits (466,812)SR5 LLR Silver: Earned 100,000 credits (210,142)SGS LLR Silver: Earned 100,000 credits (112,277)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)PPS Sieve Bronze: Earned 10,000 credits (10,113)AP 26/27 Bronze: Earned 10,000 credits (12,129)GFN Ruby: Earned 2,000,000 credits (4,231,842)WW Jade: Earned 10,000,000 credits (13,756,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 151416 - Posted: 6 Sep 2021 | 22:17:22 UTC - in response to Message 149709.

That record did not stand long!

Rick Reynolds (with double checker sakage@otoge) found:
3071294187877470251 is a WallSunSun special instance (+0 +14 p)

This gives:
|A|/p = 14/3071294187877470251 = 4.56*10^{-18}
which is smaller (i.e. nearer) than DeleteNull's record from earlier this month.

Congratulations. I will update OEIS A339855 again.

/JeppeSN


Beaten by an A=-1 find. Finder GregCinAZ, and DC'er vanos0512. See the separate thread about it.
|A|/p = 1/7665762181374748069 = 0.13*10^{-18}

/JeppeSN

Message boards : Wieferich and Wall-Sun-Sun Prime Search : We set a new world record in WSS nearness

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