PrimeGrid
Please visit donation page to help the project cover running costs for this month

Toggle Menu

Join PrimeGrid

Returning Participants

Community

Leader Boards

Results

Other

drummers-lowrise

Advanced search

Message boards : News : SR5 Mega Prime Find!

Author Message
Scott BrownProject donor
Volunteer moderator
Project administrator
Volunteer tester
Project scientist
Avatar
Send message
Joined: 17 Oct 05
Posts: 2329
ID: 1178
Credit: 15,582,675,723
RAC: 15,114,994
Discovered the World's First base 116 Generalized Cullen prime!!!Discovered 55 mega primesEliminated 7 conjecture "k"sDiscovered 1 Sophie Germain pairDiscovered 2 Fermat divisors2012 Tour de Primes highest prime count2012 Tour de Primes most Mountain Stage primes2015 Tour de Primes highest prime count2016 Tour de Primes highest prime countFound 23 primes in the 2018 Tour de PrimesFound 1 mega prime in the 2018 Tour de PrimesFound 2 primes in the 2018 Tour de Primes Mountain Stage2019 Tour de Primes highest prime countFound 22 primes in the 2019 Tour de Primes2020 Tour de Primes highest prime scoreFound 21 primes in the 2020 Tour de PrimesFound 4 mega primes in the 2020 Tour de PrimesFound 8 primes in the 2021 Tour de PrimesFound 1 mega prime in the 2021 Tour de PrimesFound 21 primes in the 2022 Tour de PrimesFound 1 mega prime in the 2022 Tour de PrimesFound 2 primes in the 2022 Tour de Primes Mountain Stage321 LLR Double Silver: Earned 200,000,000 credits (222,511,049)Cullen LLR Double Silver: Earned 200,000,000 credits (201,409,561)ESP LLR Double Silver: Earned 200,000,000 credits (214,825,147)Generalized Cullen/Woodall LLR Double Silver: Earned 200,000,000 credits (212,142,316)PPS LLR Double Amethyst: Earned 1,000,000,000 credits (1,026,160,854)PSP LLR Double Silver: Earned 200,000,000 credits (219,054,081)SoB LLR Double Silver: Earned 200,000,000 credits (207,028,068)SR5 LLR Double Silver: Earned 200,000,000 credits (245,832,645)SGS LLR Double Silver: Earned 200,000,000 credits (218,433,641)TPS LLR (retired) Silver: Earned 100,000 credits (235,439)TRP LLR Double Silver: Earned 200,000,000 credits (259,244,126)Woodall LLR Double Silver: Earned 200,000,000 credits (201,651,344)321 Sieve (suspended) Double Silver: Earned 200,000,000 credits (235,451,253)Cullen/Woodall Sieve (suspended) Emerald: Earned 50,000,000 credits (83,794,448)Generalized Cullen/Woodall Sieve (suspended) Double Silver: Earned 200,000,000 credits (285,139,652)PPS Sieve Double Ruby: Earned 2,000,000,000 credits (3,045,493,749)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Double Silver: Earned 200,000,000 credits (203,523,358)TRP Sieve (suspended) Double Silver: Earned 200,000,000 credits (201,489,157)AP 26/27 Double Gold: Earned 500,000,000 credits (535,756,637)GFN Double Ruby: Earned 2,000,000,000 credits (2,497,975,933)WW Double Turquoise: Earned 5,000,000,000 credits (5,006,480,000)PSA Double Silver: Earned 200,000,000 credits (259,058,048)
Message 156376 - Posted: 18 Jul 2022 | 19:26:44 UTC
Last modified: 18 Jul 2022 | 19:27:02 UTC

On 19 June 2022, 04:26:15 UTC, PrimeGrid’s Sierpinski/Riesel Base 5 Problem project eliminated k=63838 by finding the mega prime:

63838*5^3887851-1

The prime is 2,717,497 digits long and enters Chris Caldwell's “The Largest Known Primes Database” ranked 99th overall. 58 k’s now remain in the Riesel Base 5 problem.

The discovery was made by Scott Lee (freestman) of China using an AMD Ryzen 5 2600X Six-Core Processor with 32GB RAM, running Microsoft Windows 11 Professional x64 Edition. This computer took about 4 hours, 34 minutes to complete the prp test using LLR2. Scott is a member of the team, Chinese Dream.

The prime was verified on 19 June 2022, 22:29 UTC, by an Intel(R) Core(TM) i3-9100F CPU @ 3.60GHz with 16GB RAM, running Linux. This computer took about 11 hours and 57 minutes to complete the primality test using LLR2.

For more details, please see the official announcement.

MGmirkin
Send message
Joined: 23 Oct 10
Posts: 5
ID: 70963
Credit: 389,055,222
RAC: 662,260
Discovered 1 mega prime321 LLR Bronze: Earned 10,000 credits (29,119)Cullen LLR Bronze: Earned 10,000 credits (16,360)PPS LLR Jade: Earned 10,000,000 credits (12,724,484)PSP LLR Bronze: Earned 10,000 credits (71,076)SR5 LLR Ruby: Earned 2,000,000 credits (3,227,444)SGS LLR Ruby: Earned 2,000,000 credits (2,522,058)Woodall LLR Bronze: Earned 10,000 credits (46,852)321 Sieve (suspended) Turquoise: Earned 5,000,000 credits (5,430,416)PPS Sieve Turquoise: Earned 5,000,000 credits (8,798,310)AP 26/27 Ruby: Earned 2,000,000 credits (2,288,338)GFN Double Silver: Earned 200,000,000 credits (353,691,954)WW Silver: Earned 100,000 credits (192,000)
Message 156547 - Posted: 26 Jul 2022 | 22:52:53 UTC - in response to Message 156376.
Last modified: 26 Jul 2022 | 22:53:48 UTC

Neat.

Does this mean there's only 58 WU's left on the project, or what exactly does "58 k's left" denote, in terms of how much work is left to do on the project?

Just in case it helps, I've basically switched my CPU compute over exclusively to the Sierpinski / Riesel Base 5 project for now.

GPU is still on a couple other things.

Anyway, my CPU is a 3700X, and running on all 8 Cores / 16 Threads, it's crunching a WU about every 2 hours. :) Heh! Lots of "1st"(s) in my history...

Here's hoping I bingo some primes!

Profile Scott Cox
Send message
Joined: 3 Aug 16
Posts: 38
ID: 453662
Credit: 32,502,014
RAC: 22,914
Discovered 1 mega prime321 LLR Gold: Earned 500,000 credits (508,790)Cullen LLR Gold: Earned 500,000 credits (572,367)ESP LLR Silver: Earned 100,000 credits (337,580)Generalized Cullen/Woodall LLR Gold: Earned 500,000 credits (837,735)PPS LLR Jade: Earned 10,000,000 credits (18,401,666)PSP LLR Amethyst: Earned 1,000,000 credits (1,125,335)SoB LLR Amethyst: Earned 1,000,000 credits (1,445,573)SR5 LLR Ruby: Earned 2,000,000 credits (2,280,013)SGS LLR Silver: Earned 100,000 credits (186,436)TRP LLR Amethyst: Earned 1,000,000 credits (1,273,116)Woodall LLR Silver: Earned 100,000 credits (370,841)321 Sieve (suspended) Silver: Earned 100,000 credits (132,955)Generalized Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (502,930)PPS Sieve Amethyst: Earned 1,000,000 credits (1,398,965)AP 26/27 Amethyst: Earned 1,000,000 credits (1,018,836)GFN Amethyst: Earned 1,000,000 credits (1,088,875)WW Amethyst: Earned 1,000,000 credits (1,020,000)
Message 156624 - Posted: 31 Jul 2022 | 10:59:56 UTC - in response to Message 156547.

The ks refer to the numbers for primes of the form k*5^n+/-1 listed here

https://www.primegrid.com/forum_thread.php?id=5087

There are many more WUs (workunits) left, as the vast majority are composites and not primes that would eliminate a k from the list

Profile JeppeSNProject donor
Avatar
Send message
Joined: 5 Apr 14
Posts: 1724
ID: 306875
Credit: 41,343,356
RAC: 13,794
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 (16,501,798)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 156625 - Posted: 31 Jul 2022 | 11:43:06 UTC - in response to Message 156624.
Last modified: 31 Jul 2022 | 11:46:45 UTC

The ks refer to the numbers for primes of the form k*5^n+/-1 listed here

https://www.primegrid.com/forum_thread.php?id=5087

There are many more WUs (workunits) left, as the vast majority are composites and not primes that would eliminate a k from the list

Yes, check https://www.primegrid.com/forum_thread.php?id=5087.

You can also see the status on https://www.primegrid.com/stats_sr5_llr.php.

Each time we have a number k (but I suppose we do not care about k that are odd or end in a 0), we want to know if any of the numbers:
k*5 - 1; k*5^2 - 1; k*5^3 - 1; k*5^4 - 1; k*5^5 - 1; k*5^6 - 1; ...

are prime. For some special k (Riesel numbers to base 5), the first of which is 346802, we can prove that no prime will ever occur.

For the rest of the k we think there will be primes, but we cannot prove it. In other ways than searching for a prime! As soon as we find a prime, we typically leave that k value and focus on the other remaining k.

The prime found here was about k=63838. We discovered that the sequence:
63838*5 - 1; 63838*5^2 - 1; 63838*5^3 - 1; 63838*5^4 - 1; 63838*5^5 - 1; 63838*5^6 - 1; ...

contains a prime, just like we suspected. It was the 3887851st number on that list that turned out to be prime.

/JeppeSN

Profile Scottie Mckinley
Send message
Joined: 14 Oct 21
Posts: 1
ID: 1441437
Credit: 12,348,236
RAC: 379,436
PPS LLR Silver: Earned 100,000 credits (149,708)SR5 LLR Silver: Earned 100,000 credits (211,460)PPS Sieve Turquoise: Earned 5,000,000 credits (6,782,452)AP 26/27 Gold: Earned 500,000 credits (929,890)GFN Ruby: Earned 2,000,000 credits (3,810,530)WW Silver: Earned 100,000 credits (456,000)
Message 156628 - Posted: 31 Jul 2022 | 18:50:27 UTC

My 3 PC's just received 70 SR5 WU's. I noticed all 70 are time outs from other users. Is this normal? I'm curious if these users know something that I don't. They are mine now, so I'm going to crunch them either way.

Profile JeppeSNProject donor
Avatar
Send message
Joined: 5 Apr 14
Posts: 1724
ID: 306875
Credit: 41,343,356
RAC: 13,794
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 (16,501,798)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 156632 - Posted: 31 Jul 2022 | 20:41:57 UTC - in response to Message 156628.

My 3 PC's just received 70 SR5 WU's. I noticed all 70 are time outs from other users. Is this normal? I'm curious if these users know something that I don't. They are mine now, so I'm going to crunch them either way.

We are probably in the wrong thread.

No, there is no way other users could know "something". Some users do not have good settings, and they get too many tasks. Also, BOINC sometimes does unexpected things, giving you too many tasks. Timeouts and aborts often occur for that reason.

Why do you take 70 work units for 3 PCs? Sounds like too many. Usually, there is no reason to take more tasks than you can start on immediately. But is I said, BOINC's settings can be tricky. When I look at your computers, you have way too many tasks "in progress". I would say you should change settings, and abort some tasks that have not started yet.

/JeppeSN

Profile mikey
Avatar
Send message
Joined: 17 Mar 09
Posts: 1398
ID: 37043
Credit: 592,082,665
RAC: 39,536
Discovered 1 mega prime321 LLR Ruby: Earned 2,000,000 credits (2,066,244)Cullen LLR Ruby: Earned 2,000,000 credits (2,074,615)ESP LLR Ruby: Earned 2,000,000 credits (2,243,517)Generalized Cullen/Woodall LLR Ruby: Earned 2,000,000 credits (2,142,353)PPS LLR Turquoise: Earned 5,000,000 credits (7,293,199)PSP LLR Ruby: Earned 2,000,000 credits (2,232,103)SoB LLR Ruby: Earned 2,000,000 credits (2,934,612)SR5 LLR Ruby: Earned 2,000,000 credits (2,071,823)SGS LLR Turquoise: Earned 5,000,000 credits (6,780,752)TRP LLR Ruby: Earned 2,000,000 credits (2,672,432)Woodall LLR Ruby: Earned 2,000,000 credits (2,014,811)321 Sieve (suspended) Sapphire: Earned 20,000,000 credits (23,770,672)Cullen/Woodall Sieve (suspended) Gold: Earned 500,000 credits (944,431)Generalized Cullen/Woodall Sieve (suspended) Sapphire: Earned 20,000,000 credits (20,813,253)PPS Sieve Double Silver: Earned 200,000,000 credits (379,578,052)Sierpinski (ESP/PSP/SoB) Sieve (suspended) Ruby: Earned 2,000,000 credits (2,446,797)AP 26/27 Sapphire: Earned 20,000,000 credits (33,880,340)GFN Emerald: Earned 50,000,000 credits (67,579,656)WW Turquoise: Earned 5,000,000 credits (8,092,000)PSA Sapphire: Earned 20,000,000 credits (20,457,430)
Message 156635 - Posted: 1 Aug 2022 | 10:32:11 UTC - in response to Message 156628.

My 3 PC's just received 70 SR5 WU's. I noticed all 70 are time outs from other users. Is this normal? I'm curious if these users know something that I don't. They are mine now, so I'm going to crunch them either way.


Another reason for time outs is drive or pc crashes and you just have to start over and get new tasks

Post to thread

Message boards : News : SR5 Mega Prime Find!

[Return to PrimeGrid main page]
DNS Powered by DNSEXIT.COM
Copyright © 2005 - 2022 Rytis Slatkevičius (contact) and PrimeGrid community. Server load 0.66, 0.72, 0.62
Generated 11 Aug 2022 | 11:06:52 UTC