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Message boards : Proth Prime Search : Status of all Proth Prime Search ranges

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stream
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Joined: 1 Mar 14
Posts: 989
ID: 301928
Credit: 543,186,393
RAC: 17
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 PrimesFound 1 prime in the 2021 Tour de Primes321 LLR Jade: Earned 10,000,000 credits (10,011,570)Cullen LLR Jade: Earned 10,000,000 credits (10,009,374)ESP LLR Jade: Earned 10,000,000 credits (10,009,221)Generalized Cullen/Woodall LLR Jade: Earned 10,000,000 credits (10,012,217)PPS LLR Jade: Earned 10,000,000 credits (16,320,747)PSP LLR Jade: Earned 10,000,000 credits (10,044,081)SoB LLR Jade: Earned 10,000,000 credits (10,064,750)SR5 LLR Jade: Earned 10,000,000 credits (10,002,051)SGS LLR Jade: Earned 10,000,000 credits (10,001,295)TRP LLR Jade: Earned 10,000,000 credits (10,002,411)Woodall LLR Jade: Earned 10,000,000 credits (10,013,921)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,004,228)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,047,667)PPS Sieve Sapphire: Earned 20,000,000 credits (20,866,490)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,043,271)TRP Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,015,177)AP 26/27 Sapphire: Earned 20,000,000 credits (20,045,194)GFN Emerald: Earned 50,000,000 credits (55,355,287)WW Emerald: Earned 50,000,000 credits (50,016,000)PSA Double Silver: Earned 200,000,000 credits (200,301,443)
Message 151794 - Posted: 14 Oct 2021 | 17:10:00 UTC

I created a table which summarizes testing status for all Proth candidates ever tested on planned to test on PrimeGrid (K=5...9999, N=0...10M). You can find it here:

http://boincvm.proxyma.ru:30080/test4vm/public/pps_dc_status.php

The table also shows questionable areas (tested on PrpNet or in Adaptive Replication mode) which do contain invalid results and must be partially or fully double-checked to be sure that no primes were missed. The doublechecking is currently running in "LLR2 testing" subproject on "Private GFN server" (the link above).

Ravi Fernando
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Joined: 21 Mar 19
Posts: 206
ID: 1108183
Credit: 11,958,242
RAC: 5,116
321 LLR Gold: Earned 500,000 credits (942,037)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 (68,801)PPS LLR Ruby: Earned 2,000,000 credits (4,104,760)PSP LLR Silver: Earned 100,000 credits (106,263)SoB LLR Silver: Earned 100,000 credits (258,849)SR5 LLR Bronze: Earned 10,000 credits (76,537)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 (40,424)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,001,667)AP 26/27 Bronze: Earned 10,000 credits (72,774)GFN Gold: Earned 500,000 credits (824,200)WW Bronze: Earned 10,000 credits (12,000)
Message 151796 - Posted: 14 Oct 2021 | 21:09:39 UTC - in response to Message 151794.

For what it's worth, PPS-DIV tested k=19683 from n=300K to n=4M. Below that, I tested everything myself and JimB did the same; we only checked that the lists of primes matched. (And this was in 2019, so no Gerbicz check/LLR2. But it's a very small amount of work anyway.)

rogue
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Joined: 8 Sep 07
Posts: 1249
ID: 12001
Credit: 18,565,548
RAC: 0
PPS LLR Bronze: Earned 10,000 credits (31,229)PSA Jade: Earned 10,000,000 credits (18,533,435)
Message 151801 - Posted: 15 Oct 2021 | 18:31:27 UTC

Egad! That is a large number of tests that need double-checking.

Fortunately most of that double-checking should be quick, but I suspect there is no active project to do that double-check.

Kellen
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Joined: 10 Jan 18
Posts: 484
ID: 967938
Credit: 1,600,003,090
RAC: 2
Discovered 2 mega primes321 LLR Sapphire: Earned 20,000,000 credits (20,008,344)Cullen LLR Sapphire: Earned 20,000,000 credits (20,000,917)ESP LLR Sapphire: Earned 20,000,000 credits (20,001,144)Generalized Cullen/Woodall LLR Sapphire: Earned 20,000,000 credits (20,011,942)PPS LLR Sapphire: Earned 20,000,000 credits (20,000,023)PSP LLR Sapphire: Earned 20,000,000 credits (20,008,714)SoB LLR Sapphire: Earned 20,000,000 credits (20,035,621)SR5 LLR Sapphire: Earned 20,000,000 credits (20,004,459)SGS LLR Sapphire: Earned 20,000,000 credits (20,000,002)TRP LLR Sapphire: Earned 20,000,000 credits (20,000,236)Woodall LLR Sapphire: Earned 20,000,000 credits (20,017,137)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,000,569)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,006,424)PPS Sieve Sapphire: Earned 20,000,000 credits (49,900,913)AP 26/27 Sapphire: Earned 20,000,000 credits (45,002,633)GFN Double Silver: Earned 200,000,000 credits (200,000,012)WW Sapphire: Earned 20,000,000 credits (45,004,000)PSA Double Amethyst: Earned 1,000,000,000 credits (1,000,000,000)
Message 154782 - Posted: 8 Mar 2022 | 22:02:18 UTC

Just saw the news about Pavel Atnashev's prime! Congrats!

https://primes.utm.edu/primes/page.php?id=133721

Very exciting to find one missed as a result of adaptive replication. Probably the first of many with the smaller n values coming up soon.

I wonder how many will be found, and I wonder how many of those will be large enough for T5K.

Profile JeppeSNProject donor
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Joined: 5 Apr 14
Posts: 1723
ID: 306875
Credit: 41,325,302
RAC: 14,046
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 (16,483,744)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 (342,501)Woodall LLR Silver: Earned 100,000 credits (109,455)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 (4,228,147)WW Turquoise: Earned 5,000,000 credits (9,640,000)PSA Turquoise: Earned 5,000,000 credits (7,614,290)
Message 154787 - Posted: 9 Mar 2022 | 8:33:26 UTC - in response to Message 154782.

Yes, this is excellent news!

I already corrected the OEIS entry A053357.

The new Proth prime is a factor of xGF(2051864, 7, 3) = 7^(2^2051864) + 3^(2^2051864). And note that Atnashev's name already shows up one additional time on http://www.prothsearch.com/GFNfacs.html because of this (you can search the page for 2051864).

Great find. Congratulations!

It seems that (7^(2^m) + 3^(2^m))/2 is prime only for m equal to 0, 1, or 8. The last one is somewhat nice, (7^256 + 3^256)/2 (with 217 digits).

/JeppeSN

Profile Crun-chiProject donor
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Joined: 25 Nov 09
Posts: 3114
ID: 50683
Credit: 76,797,694
RAC: 9,877
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 PrimesFound 1 prime in the 2021 Tour de PrimesFound 1 prime in the 2022 Tour de Primes321 LLR Silver: Earned 100,000 credits (229,492)Cullen LLR Silver: Earned 100,000 credits (110,733)PPS LLR Sapphire: Earned 20,000,000 credits (23,633,806)PSP LLR Silver: Earned 100,000 credits (104,385)SoB LLR Silver: Earned 100,000 credits (106,117)SR5 LLR Amethyst: Earned 1,000,000 credits (1,240,750)SGS LLR Amethyst: Earned 1,000,000 credits (1,325,207)TRP LLR Gold: Earned 500,000 credits (626,755)Woodall LLR Silver: Earned 100,000 credits (122,944)321 Sieve (suspended) 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 (11,889,685)TRP Sieve (suspended) Silver: Earned 100,000 credits (255,612)AP 26/27 Ruby: Earned 2,000,000 credits (2,583,960)GFN Sapphire: Earned 20,000,000 credits (23,337,083)WW Amethyst: Earned 1,000,000 credits (1,088,000)PSA Turquoise: Earned 5,000,000 credits (7,522,050)
Message 154799 - Posted: 10 Mar 2022 | 22:11:40 UTC - in response to Message 154782.

Just saw the news about Pavel Atnashev's prime! Congrats!

https://primes.utm.edu/primes/page.php?id=133721

Very exciting to find one missed as a result of adaptive replication. Probably the first of many with the smaller n values coming up soon.

I wonder how many will be found, and I wonder how many of those will be large enough for T5K.


Can you explain what is adaptive replication?
____________
92*10^1439761-1 NEAR-REPDIGIT PRIME :) :) :)
4 * 650^498101-1 CRUS PRIME
314187728^131072+1 GENERALIZED FERMAT
Proud member of team Aggie The Pew. Go Aggie!

Michael Millerick
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Joined: 4 Feb 09
Posts: 853
ID: 35074
Credit: 576,533,645
RAC: 1,684,197
Discovered 1 mega primeFound 3 primes in the 2020 Tour de PrimesFound 2 primes in the 2021 Tour de Primes321 LLR Ruby: Earned 2,000,000 credits (2,605,531)Cullen LLR Ruby: Earned 2,000,000 credits (2,016,794)ESP LLR Sapphire: Earned 20,000,000 credits (20,186,009)Generalized Cullen/Woodall LLR Turquoise: Earned 5,000,000 credits (5,224,466)PPS LLR Sapphire: Earned 20,000,000 credits (22,580,140)PSP LLR Ruby: Earned 2,000,000 credits (3,043,852)SoB LLR Ruby: Earned 2,000,000 credits (2,031,453)SR5 LLR Sapphire: Earned 20,000,000 credits (25,266,384)SGS LLR Ruby: Earned 2,000,000 credits (2,035,177)TRP LLR Ruby: Earned 2,000,000 credits (2,740,707)Woodall LLR Ruby: Earned 2,000,000 credits (2,046,592)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,440,175)Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (4,911,344)Generalized Cullen/Woodall Sieve (suspended) Ruby: Earned 2,000,000 credits (2,077,092)PPS Sieve Emerald: Earned 50,000,000 credits (50,200,870)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Amethyst: Earned 1,000,000 credits (1,034,014)TRP Sieve (suspended) Ruby: Earned 2,000,000 credits (2,070,774)AP 26/27 Sapphire: Earned 20,000,000 credits (28,948,698)GFN Double Bronze: Earned 100,000,000 credits (138,811,133)WW Double Silver: Earned 200,000,000 credits (200,440,000)PSA Emerald: Earned 50,000,000 credits (52,866,806)
Message 154800 - Posted: 10 Mar 2022 | 22:31:00 UTC - in response to Message 154799.

Just saw the news about Pavel Atnashev's prime! Congrats!

https://primes.utm.edu/primes/page.php?id=133721

Very exciting to find one missed as a result of adaptive replication. Probably the first of many with the smaller n values coming up soon.

I wonder how many will be found, and I wonder how many of those will be large enough for T5K.


Can you explain what is adaptive replication?

Many years ago PrimeGrid would not double check work from hosts that were deemed to be reputable enough.
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