Big Triple Prime found - help is needed

hunson · 2022-03-05, 09:17

Hi,

I was very lucky and found a triple prime which will make it into the top 10 of Chris Caldwell's prime database with 13389 digits (places 7-9).
After a ~24 h run of the +5 form with Primo I estimated the overall runtime to be about 90-100 days with my AMD 3600 6-core CPU. At the moment I am not willing to invest this time on my personal computer.
Thus I am curious if someone with significant computing power is interested in helping out with the Primo certificate and sharing the credit.

regards

hunson

Cybertronic · 2022-03-05, 09:40

Congratulation !

100 days ist not true.
I estimate (1,33^3,75)*6,22d * (3GHz*8Core)/(3,6GHz*6Core) =3 weeks ,100% CPU nonstop
6,22 days based on Ryzen 7 1700 8 Core 3 GHz for a 10k number under Primo 4, Ubuntu

greetings

Norman

hunson · 2022-03-05, 09:56

Mh, 3 weeks would be OK to invest.
I did my estimate based on the certificate of this number with 11637 digits: https://primes.utm.edu/primes/page.php?id=132373
The overall Primo certification took 8056345s (no CPU cores mentioned).

Edited
After ~82000s of runtime Primo was at 43708/44477 bits. I am running Ubuntu in a VM because my machine runs on Win. Maybe I am loosing to much computing power due to the virtualization?

Cybertronic · 2022-03-05, 10:02

Based on this number I get with my Ryzen 7 1700:

(1,16^3,75)*7,22d = 12,6d.

In the certificate we read: 719077s = 8,3d. Sounds like a 12 Core Ryzen !

Addition: 6993977s (single) / 620250s (full) = 11,2....should be a 12 Core CPU

Cybertronic · 2022-03-05, 10:11

Phase 1:

(43708/44477)^3,75 = 0,93 -> 7% done
Total Phase 1: 14 days
Phase 2: most 25% of Phase 1 -> 3 days

Should be done in 3 weeks over all....is not slower under VM

hunson · 2022-03-05, 16:10

Could you explain your calculations? Especially the exponent 3.75, where does this come from?

Cybertronic · 2022-03-05, 16:28

Yes, 3.75 is a fix parameter and a consequence of many runningtimes we can study.

E.g. double the number of digits, you have 2^3.75 ~ 13 times to wait, or the downrun of bits of a number to 50% (example 20000/40000), so phase 1 is 92.3% done, 10000/40000 is 99,5% done and so on.

kruoli · 2022-03-05, 16:37

If you still want help, I'd glad to assist here. It will take me two or three days.

Cybertronic · 2022-03-05, 16:44

Quote:

Originally Posted by kruoli

If you still want help, I'd glad to assist here. It will take me two or three days.

So you have also a 32-Core system ?

best

kruoli · 2022-03-05, 16:58

Unfortunately, no.

But my 16 core is rather quick with these. After giving it a second thought, two days will not be possible (most likely), so three days is my guess. My offer stands.

Paul said (IIRC) that he found a way to split stage 2 onto multiple machines?

Cybertronic · 2022-03-05, 17:04

Ah okay, so 16 cores need 10-12 days...my guess.

Stage 2 on several machines ? ... yes its possible but for a 13k number it is only a tiny plus.

2022-03-05, 09:17	#1
hunson Feb 2020 Germany 110010₂ Posts	Big Triple Prime found - help is needed Hi, I was very lucky and found a triple prime which will make it into the top 10 of Chris Caldwell's prime database with 13389 digits (places 7-9). After a ~24 h run of the +5 form with Primo I estimated the overall runtime to be about 90-100 days with my AMD 3600 6-core CPU. At the moment I am not willing to invest this time on my personal computer. Thus I am curious if someone with significant computing power is interested in helping out with the Primo certificate and sharing the credit. regards hunson

2022-03-05, 09:40	#2
Cybertronic Jan 2007 Germany 111101011₂ Posts	Congratulation ! 100 days ist not true. I estimate (1,33^3,75)6,22d (3GHz8Core)/(3,6GHz6Core) =3 weeks ,100% CPU nonstop 6,22 days based on Ryzen 7 1700 8 Core 3 GHz for a 10k number under Primo 4, Ubuntu greetings Norman Last fiddled with by Cybertronic on 2022-03-05 at 09:45

2022-03-05, 09:56	#3
hunson Feb 2020 Germany 2·5² Posts	Mh, 3 weeks would be OK to invest. I did my estimate based on the certificate of this number with 11637 digits: https://primes.utm.edu/primes/page.php?id=132373 The overall Primo certification took 8056345s (no CPU cores mentioned). Edited After ~82000s of runtime Primo was at 43708/44477 bits. I am running Ubuntu in a VM because my machine runs on Win. Maybe I am loosing to much computing power due to the virtualization? Last fiddled with by hunson on 2022-03-05 at 10:04

2022-03-05, 10:02	#4
Cybertronic Jan 2007 Germany 1EB₁₆ Posts	Based on this number I get with my Ryzen 7 1700: (1,16^3,75)7,22d = 12,6d. In the certificate we read: 719077s = 8,3d. Sounds like a 12 Core Ryzen ! Addition: 6993977s (single) / 620250s (full) = 11,2....should be a 12 Core CPU Last fiddled with by Cybertronic on 2022-03-05 at 10:06*

2022-03-05, 16:10	#6
hunson Feb 2020 Germany 2·5² Posts	Could you explain your calculations? Especially the exponent 3.75, where does this come from? Last fiddled with by hunson on 2022-03-05 at 16:10 Reason: typo

2022-03-05, 10:11	#5
Cybertronic Jan 2007 Germany 491 Posts	Phase 1: (43708/44477)^3,75 = 0,93 -> 7% done Total Phase 1: 14 days Phase 2: most 25% of Phase 1 -> 3 days Should be done in 3 weeks over all....is not slower under VM

2022-03-05, 16:28	#7
Cybertronic Jan 2007 Germany 491 Posts	Yes, 3.75 is a fix parameter and a consequence of many runningtimes we can study. E.g. double the number of digits, you have 2^3.75 ~ 13 times to wait, or the downrun of bits of a number to 50% (example 20000/40000), so phase 1 is 92.3% done, 10000/40000 is 99,5% done and so on. Last fiddled with by Cybertronic on 2022-03-05 at 16:29

2022-03-05, 16:37	#8
kruoli "Oliver" Sep 2017 Porta Westfalica, DE 1079₁₀ Posts	If you still want help, I'd glad to assist here. It will take me two or three days.

2022-03-05, 16:58	#10
kruoli "Oliver" Sep 2017 Porta Westfalica, DE 13×83 Posts	Unfortunately, no. But my 16 core is rather quick with these. After giving it a second thought, two days will not be possible (most likely), so three days is my guess. My offer stands. Paul said (IIRC) that he found a way to split stage 2 onto multiple machines?

2022-03-05, 17:04	#11
Cybertronic Jan 2007 Germany 111101011₂ Posts	Ah okay, so 16 cores need 10-12 days...my guess. Stage 2 on several machines ? ... yes its possible but for a 13k number it is only a tiny plus.

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