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Old 2019-08-19, 19:13   #1
joblack
 
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Default highest testable LL exponent

Hi,


I have finished my 100M LL testing and so I am browsing through the map for a new challenge.


https://www.mersenne.org/primenet/


The highest possible numbers are higher than 999000000

but in Prime95 Test it says it needs between 5 and 922600000.

So what's the highest possible prime number I can savely test with Prime95 Windows executable?

Is there a page to play around with possible values?

Last fiddled with by joblack on 2019-08-19 at 19:20
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Old 2019-08-19, 20:14   #2
Prime95
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AVX-512 CPUs could go over 1 billion
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Old 2019-08-19, 20:45   #3
joblack
 
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Quote:
Originally Posted by Prime95 View Post
AVX-512 CPUs could go over 1 billion

Okay but Prime95 does say


Prime95 Test it says it needs between 5 and 922600000


if I press 'Test'?


I have a Ryzen 3700x with Windows 10.


Last fiddled with by joblack on 2019-08-19 at 21:02
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Old 2019-08-19, 21:14   #4
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Quote:
Originally Posted by joblack View Post
Okay but Prime95 does say


Prime95 Test it says it needs between 5 and 922600000


if I press 'Test'?


I have a Ryzen 3700x with Windows 10.
So get the largest prime less than 922600000:
(PARI/GP)
Code:
? precprime(922600000)
%1 = 922599973
Ryzen 3700x does not have AVX-512 by the way.
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Old 2019-08-19, 21:46   #5
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Quote:
Originally Posted by hansl View Post
So get the largest prime less than 922600000:
(PARI/GP)
Code:
? precprime(922600000)
%1 = 922599973
Ryzen 3700x does not have AVX-512 by the way.

Yeah you're right. No AVX-512. Will check it out. Thanks.
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Old 2019-08-21, 10:01   #6
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Quote:
Originally Posted by Prime95 View Post
AVX-512 CPUs could go over 1 billion
Is the limit defined on any readme or undoc? I could not find it...
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Old 2019-08-21, 14:40   #7
Prime95
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From gwnum.h:

#define MAX_PRIME_AVX512 1169000000L /* AVX-512 bit limit */
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Old 2019-12-26, 15:25   #8
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Default other software

Switching to CUDALucas, gpuowl, or Mlucas allows higher exponents, up to 2, 3 or 4 billion. But it is not advisable to run such extreme cases, because:
CUDALucas lacks certain error detection features necessary for such large/long runs;
run times will be very long, likely longer than hardware lifetime;
there is no established server to which to report the computation result of a primality test for an exponent above one billion, if one was reached.

Last fiddled with by kriesel on 2019-12-26 at 15:26
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