20201117, 06:13  #1  
Feb 2019
China
111011_{2} Posts 
How can I run PRP test?
Quote:
how long does it cost ? 

20201117, 06:41  #2 
"Curtis"
Feb 2005
Riverside, CA
2^{3}·3·5·43 Posts 
LLR, or pfgw. Time taken depends rather heavily on hardware, just like it does for Prime95.
A prp test is about the same speed as what P95 would take on that same size of exponent. 
20201117, 06:43  #3 
"Vincent"
Apr 2010
Over the rainbow
AC1_{16} Posts 
at this size, primo isn't practical

20201117, 16:18  #4 
"99(4^34019)99 palind"
Nov 2016
(P^81993)SZ base 36
2·3·5·107 Posts 

20201117, 16:56  #5  
"Curtis"
Feb 2005
Riverside, CA
5160_{10} Posts 
Quote:
Maybe you should run that Primo proof yourself it's just 25% or so more digits than the current record holder. Shouldn't take you long, right? 

20201117, 21:23  #6 
"Sam"
Nov 2016
514_{8} Posts 
I would happily certify it if I had the resources. Unfortunately for Primo (which can run about 64 concurrent tasks at a time), the time complexity for certifying N prime is at least O(ln(N)^4). I had asked about how long it would take to run some time ago.
In A PM, I was given these averages times for certifying a 25k digit number. 64 cores (22.5 days) 32 cores (45 days) 16 cores (3 months) 8 cores (6 months) 4 cores (1 year) So for 50k digits, we have 64 cores (360 days) Almost a year!!! 32 cores (720 days) 16 cores (1440 days) 8 cores (2880 days) 4 cores (5760 days) At best, you could probably certify R49081 in just a little under a year. 
20201124, 17:03  #7 
Jun 2009
2^{2}·173 Posts 
Primo has a builtin limit on the candidate size. Marcel Martin increases the limit from time to time as better hardware allows for bigger tests. At the moment the limit is 132,928 bits which is about 40,000 decimal digits. So at least for now, no chance. Maybe in a future update it will be possible to certify R49081.
PS: on the other hand that means the next three numbers in the probable primes thread are now within the primo limit but with numbers that close to the theoretical limit there is still a chance of primo being unable to provide a proof. Last fiddled with by PuzzlePeter on 20201124 at 17:17 
20201124, 17:21  #8 
Sep 2002
Database er0rr
2·1,993 Posts 

20201125, 14:27  #9 
Jun 2009
2^{2}×173 Posts 

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