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Message boards : Wieferich and Wall-Sun-Sun Prime Search : Which near-finds are shown?

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Profile Toshio Yamaguchi
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321 LLR Bronze: Earned 10,000 credits (16,424)PPS LLR Bronze: Earned 10,000 credits (10,232)SR5 LLR Bronze: Earned 10,000 credits (10,448)TRP LLR Bronze: Earned 10,000 credits (24,275)Woodall LLR Bronze: Earned 10,000 credits (19,632)PPS Sieve Bronze: Earned 10,000 credits (89,027)TRP Sieve (suspended) Bronze: Earned 10,000 credits (20,665)PSA Silver: Earned 100,000 credits (469,144)
Message 146496 - Posted: 10 Dec 2020 | 19:32:08 UTC

I am not sure I understand which near-Wieferich and near-Wall-Sun-Sun primes are actually shown. In WW by the numbers it is stated "For numbers between 1e9 and the end of our PRPNet search, special instances with |A| <= 100 are shown". Doesn't this mean that, from the pages here and here, say 3411159925463651, to pick a random example, should be reported? Or is that sentence to be read "For numbers between 1e9 and the end of our PRPNet search, special instances with |A| <= 100 that were previously missed are shown"? If not, why are those primes not listed at the WW Statistics page? Or was that range part of the "very beginning of the current search (completed in the first day)" mentioned in the WW by the numbers thread? Thanks for any insight into this.

Profile Michael GoetzProject donor
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Found 5 primes in the 2021 Tour de PrimesFound 5 mega primes in the 2021 Tour de PrimesThe "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 6 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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,822,730)Cullen LLR Ruby: Earned 2,000,000 credits (3,624,591)ESP LLR Turquoise: Earned 5,000,000 credits (5,021,269)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Jade: Earned 10,000,000 credits (16,008,485)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 (10,007,110)SGS LLR Ruby: Earned 2,000,000 credits (3,252,256)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Ruby: Earned 2,000,000 credits (2,911,985)321 Sieve 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 (10,118,303)GFN Emerald: Earned 50,000,000 credits (76,733,355)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 146497 - Posted: 10 Dec 2020 | 19:57:59 UTC - in response to Message 146496.

I am not sure I understand which near-Wieferich and near-Wall-Sun-Sun primes are actually shown. In WW by the numbers it is stated "For numbers between 1e9 and the end of our PRPNet search, special instances with |A| <= 100 are shown". Doesn't this mean that, from the pages here and here, say 3411159925463651, to pick a random example, should be reported? Or is that sentence to be read "For numbers between 1e9 and the end of our PRPNet search, special instances with |A| <= 100 that were previously missed are shown"? If not, why are those primes not listed at the WW Statistics page? Or was that range part of the "very beginning of the current search (completed in the first day)" mentioned in the WW by the numbers thread? Thanks for any insight into this.


Correct, previously known primes (both of them) and special instances are not shown. They've already been discovered, so they're not shown as discoveries.
____________
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Profile JeppeSNProject donor
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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Turquoise: Earned 5,000,000 credits (9,594,179)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 Silver: Earned 100,000 credits (105,212)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve 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 Amethyst: Earned 1,000,000 credits (1,674,106)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 146526 - Posted: 11 Dec 2020 | 8:06:03 UTC

So from /stats_ww.php we infer that we have not found any (nontrivial) missed near-finds yet. When we get out of the region that was covered by PRPNet, the distinction between "missed" and "known" near-finds will disappear, and we should start seeing more entries on that stats page. /JeppeSN

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321 LLR Gold: Earned 500,000 credits (538,216)Cullen LLR Amethyst: Earned 1,000,000 credits (1,169,946)ESP LLR Gold: Earned 500,000 credits (636,842)Generalized Cullen/Woodall LLR Silver: Earned 100,000 credits (212,232)PPS LLR Gold: Earned 500,000 credits (883,715)PSP LLR Gold: Earned 500,000 credits (663,928)SoB LLR Silver: Earned 100,000 credits (217,346)SR5 LLR Gold: Earned 500,000 credits (531,229)SGS LLR Amethyst: Earned 1,000,000 credits (1,042,382)TRP LLR Gold: Earned 500,000 credits (561,429)Woodall LLR Gold: Earned 500,000 credits (781,741)321 Sieve Ruby: Earned 2,000,000 credits (2,107,153)PPS Sieve Amethyst: Earned 1,000,000 credits (1,045,010)AP 26/27 Ruby: Earned 2,000,000 credits (2,470,273)GFN Turquoise: Earned 5,000,000 credits (7,129,018)PSA Silver: Earned 100,000 credits (244,815)
Message 146683 - Posted: 15 Dec 2020 | 18:56:32 UTC

I hope I didn't miss something obvious, but the results page now shows a prime found by Grzegorz with A = 193.

WW by the numbers says only primes with |A|<=100 are shown for the range covered by PRP previously. That prime is at 265E15, so below the previous limit of 6E17.

Anyway, congratulations!
____________
Primes: 1281979 & 12+8+1979 & 1+2+8+1+9+7+9 & 1^2+2^2+8^2+1^2+9^2+7^2+9^2 & 12*8+19*79 & 12^8-1979 & 1281979 + 4 (cousin prime)

Ravi Fernando
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321 LLR Silver: Earned 100,000 credits (434,563)Cullen LLR Bronze: Earned 10,000 credits (82,217)ESP LLR Bronze: Earned 10,000 credits (16,570)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (12,551)PPS LLR Ruby: Earned 2,000,000 credits (2,123,888)PSP LLR Bronze: Earned 10,000 credits (26,371)SoB LLR Silver: Earned 100,000 credits (183,524)SR5 LLR Bronze: Earned 10,000 credits (59,307)SGS LLR Silver: Earned 100,000 credits (148,878)TRP LLR Silver: Earned 100,000 credits (195,905)Woodall LLR Bronze: Earned 10,000 credits (19,925)321 Sieve Turquoise: Earned 5,000,000 credits (5,001,667)AP 26/27 Bronze: Earned 10,000 credits (72,774)GFN Silver: Earned 100,000 credits (110,081)
Message 146684 - Posted: 15 Dec 2020 | 19:08:31 UTC - in response to Message 146683.

I hope I didn't miss something obvious, but the results page now shows a prime found by Grzegorz with A = 193.

WW by the numbers says only primes with |A|<=100 are shown for the range covered by PRP previously. That prime is at 265E15, so below the previous limit of 6E17.

You did miss something: this is a near-Wall-Sun-Sun prime, not a near-Wieferich, and the PRPNet WSS search didn't get as far as the Wieferich search. In fact this prime is just beyond the PRPNet search limit.

Profile JeppeSNProject donor
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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Turquoise: Earned 5,000,000 credits (9,594,179)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 Silver: Earned 100,000 credits (105,212)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve 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 Amethyst: Earned 1,000,000 credits (1,674,106)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 146687 - Posted: 15 Dec 2020 | 20:00:45 UTC

Nice! Apparently, the WSS search on PRPNet did not miss any finds or near-finds, but good to be in new territory now (with Wall-Sun-Sun, that is). I verified it with my PARI function. Looks like everything is working perfectly. /JeppeSN

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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Turquoise: Earned 5,000,000 credits (9,594,179)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 Silver: Earned 100,000 credits (105,212)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve 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 Amethyst: Earned 1,000,000 credits (1,674,106)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 146688 - Posted: 15 Dec 2020 | 20:04:14 UTC

I have speculated whether it would be relevant to consider |A| ≤ 10'000 as near-finds once the leading edge advances far enough. Of course the natural measure would be |A| / p.

/JeppeSN

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Found 5 primes in the 2021 Tour de PrimesFound 5 mega primes in the 2021 Tour de PrimesThe "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 6 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 Primes321 LLR Ruby: Earned 2,000,000 credits (2,822,730)Cullen LLR Ruby: Earned 2,000,000 credits (3,624,591)ESP LLR Turquoise: Earned 5,000,000 credits (5,021,269)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,145,754)PPS LLR Jade: Earned 10,000,000 credits (16,008,485)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 (10,007,110)SGS LLR Ruby: Earned 2,000,000 credits (3,252,256)TRP LLR Turquoise: Earned 5,000,000 credits (5,084,329)Woodall LLR Ruby: Earned 2,000,000 credits (2,911,985)321 Sieve 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 (10,118,303)GFN Emerald: Earned 50,000,000 credits (76,733,355)PSA Jade: Earned 10,000,000 credits (12,445,029)
Message 146692 - Posted: 16 Dec 2020 | 0:00:52 UTC - in response to Message 146687.

Nice! Apparently, the WSS search on PRPNet did not miss any finds or near-finds, but good to be in new territory now (with Wall-Sun-Sun, that is). I verified it with my PARI function. Looks like everything is working perfectly. /JeppeSN


We were only double checking for primes, not special instances. We were skipping *all* special instances until we were past the PRPNet range. The original plan was to start the current search where PRPnet left off, but I wanted to make sure we didn't miss any actual primes. That would have been tragic.

Checking for missed special instances would have been exceptionally difficult because we don't have a definitive list of what had been discovered previously.

From this point on (in WSS), we will report everything that's found. But until now, we've only been looking for primes.

____________
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Found 1 prime in the 2020 Tour de Primes321 LLR Gold: Earned 500,000 credits (529,293)Cullen LLR Gold: Earned 500,000 credits (611,298)ESP LLR Silver: Earned 100,000 credits (139,922)Generalized Cullen/Woodall LLR Bronze: Earned 10,000 credits (35,236)PPS LLR Turquoise: Earned 5,000,000 credits (9,594,179)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 Silver: Earned 100,000 credits (105,212)TRP LLR Silver: Earned 100,000 credits (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)321 Sieve 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 Amethyst: Earned 1,000,000 credits (1,674,106)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 146696 - Posted: 16 Dec 2020 | 7:32:36 UTC - in response to Message 146692.

So we do not know how many near-finds were "missed" by the PRPNet search?

Do you have a list of all near-finds up to 265174785950610443 (by some reasonable definition)? Some (all?) of the near-WSS found on PRPNet can be seen at http://u-g-f.de/PRPNet/findlist_adv.php?proj=WSS, right now.

I thought about constructing a sequence of all primes p such that |A|/p was smaller than for any previous prime.

/JeppeSN

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Discovered 1 mega primeFound 1 prime in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de Primes321 LLR Amethyst: Earned 1,000,000 credits (1,000,300)Cullen LLR Amethyst: Earned 1,000,000 credits (1,022,945)ESP LLR Gold: Earned 500,000 credits (516,221)Generalized Cullen/Woodall LLR Amethyst: Earned 1,000,000 credits (1,011,992)PPS LLR Amethyst: Earned 1,000,000 credits (1,180,833)PSP LLR Amethyst: Earned 1,000,000 credits (1,026,142)SoB LLR Amethyst: Earned 1,000,000 credits (1,003,790)SR5 LLR Gold: Earned 500,000 credits (803,386)SGS LLR Amethyst: Earned 1,000,000 credits (1,000,114)TRP LLR Amethyst: Earned 1,000,000 credits (1,004,185)Woodall LLR Amethyst: Earned 1,000,000 credits (1,018,066)321 Sieve Amethyst: Earned 1,000,000 credits (1,000,211)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,000,420)PPS Sieve Sapphire: Earned 20,000,000 credits (22,407,037)AP 26/27 Sapphire: Earned 20,000,000 credits (20,077,538)GFN Sapphire: Earned 20,000,000 credits (37,170,000)PSA Sapphire: Earned 20,000,000 credits (20,070,245)
Message 146701 - Posted: 16 Dec 2020 | 13:54:02 UTC - in response to Message 146696.

So we do not know how many near-finds were "missed" by the PRPNet search?

There were no near-finds missed by PRPNet with |A|<=100. I do not know how many were missed with 100<|A|<=1000.

Do you have a list of all near-finds up to 265174785950610443 (by some reasonable definition)? Some (all?) of the near-WSS found on PRPNet can be seen at http://u-g-f.de/PRPNet/findlist_adv.php?proj=WSS, right now.

That list is complete. I will be working on a page later today to show imported data.

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Message boards : Wieferich and Wall-Sun-Sun Prime Search : Which near-finds are shown?

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