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Old 2022-03-05, 09:17   #1
hunson
 
Feb 2020
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Default 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
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Old 2022-03-05, 09:40   #2
Cybertronic
 
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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

Last fiddled with by Cybertronic on 2022-03-05 at 09:45
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Old 2022-03-05, 09:56   #3
hunson
 
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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
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Old 2022-03-05, 10:02   #4
Cybertronic
 
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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
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Old 2022-03-05, 10:11   #5
Cybertronic
 
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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
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Old 2022-03-05, 16:10   #6
hunson
 
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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
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Old 2022-03-05, 16:28   #7
Cybertronic
 
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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
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Old 2022-03-05, 16:37   #8
kruoli
 
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If you still want help, I'd glad to assist here. It will take me two or three days.
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Old 2022-03-05, 16:44   #9
Cybertronic
 
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Quote:
Originally Posted by kruoli View Post
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
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Old 2022-03-05, 16:58   #10
kruoli
 
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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?
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Old 2022-03-05, 17:04   #11
Cybertronic
 
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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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