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Old 2019-07-26, 17:44   #1
JuanTutors
 
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Default PRP vs LL speed comparison and probabilities

How do the speeds of LL and PRP tests for 100M digit Mersenne compare? And also, what do the probabilities look like for a PRP test on a 100M digit Mersenne?
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Old 2019-07-26, 18:18   #2
paulunderwood
 
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Quote:
Originally Posted by dominicanpapi82 View Post
How do the speeds of LL and PRP tests for 100M digit Mersenne compare? And also, what do the probabilities look like for a PRP test on a 100M digit Mersenne?

There is a marginal difference, but PRP with Gerbicz error checking greatly improves reliability of the result.

The chance of a test passing a PRP test and not being prime are next to nil.

Last fiddled with by paulunderwood on 2019-07-26 at 18:19
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Old 2019-07-26, 19:36   #3
M344587487
 
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Never do a 100M LL test, PRP all the way. As for probabilities, it can't be overstated enough that you're probably not going to find a prime doing a 100M test. You're probably not going to find a prime doing a million 100M tests.
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Old 2019-07-26, 21:07   #4
JuanTutors
 
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Quote:
Originally Posted by paulunderwood View Post
There is a marginal difference, but PRP with Gerbicz error checking greatly improves reliability of the result.

The chance of a test passing a PRP test and not being prime are next to nil.
I guess the next question is, where can I find the new rules about the prize distribution re PRP test? I know, the probability is low, but it always makes it fun for me ๐Ÿ˜Š
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Old 2019-07-27, 00:11   #5
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Quote:
Originally Posted by dominicanpapi82 View Post
I guess the next question is, where can I find the new rules about the prize distribution re PRP test? I know, the probability is low, but it always makes it fun for me ํ ฝํธŠ
https://www.mersenne.org/legal/

I am guessing that a successful PRP test is sufficient to claim, even though confirmatory LL tests will have to be done by GIMPS.

Last fiddled with by paulunderwood on 2019-07-27 at 00:15
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Old 2019-07-27, 00:55   #6
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Quote:
Originally Posted by paulunderwood View Post
https://www.mersenne.org/legal/

I am guessing that a successful PRP test is sufficient to claim, even though confirmatory LL tests will have to be done by GIMPS.
So the question is not settled? I'd probably switch to a LL test just because. I'd love to know the answer to this one. I'm sure others would too.
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Old 2019-07-27, 03:15   #7
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A successful PRP test is a valid claim.
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