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Forum: YAFU 2021-04-21, 17:56
Replies: 37
Views: 1,021
Posted By axn
Are you aware of Border PRPs...

Are you aware of Border PRPs (http://www.worldofnumbers.com/borderprp.htm)?
Forum: Data 2021-04-21, 17:35
Replies: 418
Views: 60,492
Posted By axn
Ok, I guess we need to add N/A at the beginning...

Ok, I guess we need to add N/A at the beginning to avoid assignment registration attempt, right? (or UsePrimenet=0 / manually report)
Forum: Lounge 2021-04-21, 17:28
Replies: 1,360
Views: 87,297
Posted By axn
TIL! However, the articles you linked used...

TIL! However, the articles you linked used "datums" as plural, indicating a different origin/usage. Is that right?
Forum: And now for something completely different 2021-04-21, 17:19
Replies: 21
Views: 554
Posted By axn
Worth pointing out: after computing 3^5^p, the...

Worth pointing out: after computing 3^5^p, the remaining p squarings can be protected with GEC.

PS:- In theory, even the 3^5^p could be protected by GEC, but it will cost 50% extra -- worth it...
Forum: Data 2021-04-21, 17:06
Replies: 418
Views: 60,492
Posted By axn
42.6 range P+1 assignments

Ok. Take 2. Attached file has about 300 assignments in the 42.60-42.62. First five are:
Pplus1=1,2,42600139,-1,400000,0,1,75
Pplus1=1,2,42600221,-1,500000,0,1,75...
Forum: Data 2021-04-21, 16:58
Replies: 418
Views: 60,492
Posted By axn
Oops, didn't see it. Ok, I will whip up something...

Oops, didn't see it. Ok, I will whip up something in that range. But the 31.5 is still there if you need.
Forum: Data 2021-04-21, 16:56
Replies: 418
Views: 60,492
Posted By axn
The attached file has 153 assignments in the...

The attached file has 153 assignments in the range 31.50-31.52, the first four of which are:
Pplus1=1,2,31500281,-1,300000,0,1,75
Pplus1=1,2,31500361,-1,400000,0,1,75...
Forum: And now for something completely different 2021-04-21, 16:01
Replies: 21
Views: 554
Posted By axn
But 9N+1 = 10^p = 5^p*2^p has a lot more zeros...

But 9N+1 = 10^p = 5^p*2^p has a lot more zeros than 1s. Honestly, I don't know what is the impact of simple squaring vs squaring*3. Once upon a time, I recall there being low single digit %...
Forum: Data 2021-04-21, 15:32
Replies: 418
Views: 60,492
Posted By axn
Ho many assignments and what range? Since...

Ho many assignments and what range?


Since this is brand new work type, nothing has been worked as of yet. But all reported results should show up under the exponent's history (in theory). I...
Forum: And now for something completely different 2021-04-21, 15:04
Replies: 21
Views: 554
Posted By axn
Serge, one question. Does LLR use standard PRP...

Serge, one question. Does LLR use standard PRP test, 3^(N-1) == 1, or does it do 3^10^p == 3^10?
Forum: Lounge 2021-04-21, 14:39
Replies: 1,360
Views: 87,297
Posted By axn
And you have fallen foul of my pet peeve. While...

And you have fallen foul of my pet peeve. While technically "data" is plural and "datum" is singular, modern usage of data is as an uncountable noun, and hence should be "data is ...". No one uses...
Forum: And now for something completely different 2021-04-21, 08:08
Replies: 21
Views: 554
Posted By axn
Cool. BTW, mprime does have the ability to...

Cool.

BTW, mprime does have the ability to exit when out of work (conveniently called ExitWhenOutOfWork). Not sure if that was done for other platforms as well.
Forum: Software 2021-04-21, 07:58
Replies: 157
Views: 14,944
Posted By axn
Great. Thanks for the confirmation.

Great. Thanks for the confirmation.
Forum: Software 2021-04-21, 04:17
Replies: 157
Views: 14,944
Posted By axn
Is the server set up to handle P+1 result...

Is the server set up to handle P+1 result submissions (both "no factor" as well as "factor found")?

Is mersenne.ca?
Forum: And now for something completely different 2021-04-21, 02:26
Replies: 21
Views: 554
Posted By axn
How does LLR performance compare with P95/mprime...

How does LLR performance compare with P95/mprime on this type? Do you have any data?
Forum: Software 2021-04-19, 17:17
Replies: 7
Views: 132
Posted By axn
I don't think P95 actually stops, but rather does...

I don't think P95 actually stops, but rather does the writes on another thread. I might be wrong about this.
Forum: Miscellaneous Math 2021-04-19, 05:58
Replies: 26
Views: 549
Posted By axn
If you don't make ispseudoprime do a BPSW test,...

If you don't make ispseudoprime do a BPSW test, the timings are comparable.
? #
timer = 1 (on)
? qfbprimeform(9, 2^44497-1);
time = 8,043 ms.
? ispseudoprime(2^44497-1, 1);
time = 8,645 ms....
Forum: Miscellaneous Math 2021-04-18, 07:39
Replies: 26
Views: 549
Posted By axn
I don't know what "the test" is but: ?...

I don't know what "the test" is but:
? kronecker(9, 25)
%1 = 1

Do you even know what qfbprimeform is supposed to do?
? ?qfbprimeform
qfbprimeform(x,p): returns the prime form of discriminant...
Forum: Miscellaneous Math 2021-04-18, 07:14
Replies: 26
Views: 549
Posted By axn
No. Composite numbers as well. However, it must...

No. Composite numbers as well. However, it must be relatively prime.

? kronecker(9,14)
%1 = 1
? kronecker(9,15)
%2 = 0
? kronecker(9,16)
%3 = 1
? kronecker(9,17)
%4 = 1
Forum: Miscellaneous Math 2021-04-18, 06:29
Replies: 26
Views: 549
Posted By axn
Your check is 9^((Mp-1)/2) == 1 (mod Mp) or...

Your check is 9^((Mp-1)/2) == 1 (mod Mp) or alternately, 9^((Mp+1)/2)==9 (mod Mp).

This is nothing but a Euler pseudoprimality test (https://en.wikipedia.org/wiki/Euler_pseudoprime)

Since 9 is...
Forum: PrimeNet 2021-04-16, 14:12
Replies: 9
Views: 311
Posted By axn
Yes, the factor of 2 is based on the 2 LL tests...

Yes, the factor of 2 is based on the 2 LL tests needed to conclusively prove an exponent is composite. With PRP+CERT, the factor of 2 should become 1.03 (or something similar).
Forum: Software 2021-04-15, 08:02
Replies: 157
Views: 14,944
Posted By axn
Why not have just three workers and change their...

Why not have just three workers and change their worktype as and when you want to switch over? Should be just as easy as bringing workers up/down.

Or ... Have two instances of P95 and keep PRP...
Forum: Software 2021-04-15, 05:48
Replies: 157
Views: 14,944
Posted By axn
Then why not have just 3 workers (or 2 workers)?...

Then why not have just 3 workers (or 2 workers)? You're putting the program in an impossible situation. It'd be best to just turn off the benchmark altogether.
Forum: Miscellaneous Math 2021-04-15, 02:21
Replies: 10
Views: 240
Posted By axn
This might or might not work. If someone could...

This might or might not work. If someone could find a counterexample, that would obviously disprove your claim. Yet, doing test after test of successful confirmation will not get you any closer to...
Forum: Data 2021-04-15, 02:15
Replies: 17
Views: 542
Posted By axn
The advantage is not that we know to include 2p...

The advantage is not that we know to include 2p in the stage 1 powering routine, but rather, the part that needs to be smooth ((f-1)/2p) is much smaller and therefore higher probability of success...
Showing results 1 to 25 of 1000

 
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