20210509, 19:34  #45  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
3·5·673 Posts 
Quote:
Code:
ABC ($a*$b^$c$d)/$e 1 10 8177207 1 9 

20210509, 21:21  #46 
Einyen
Dec 2003
Denmark
110101110111_{2} Posts 
Thank you.
I was actually responding to your line: "We are checking SPRP in 34 bases first (the best we can do for this PRP.)" which I found curious since you can also do Lucas test + Frobenius test with LLR. Congratulations on this huge PRP! 
20210509, 21:29  #47 
Sep 2002
Database er0rr
29·157 Posts 
I'll gladly run it. Starting now.
Last fiddled with by paulunderwood on 20210509 at 21:52 
20210509, 21:56  #48  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
23557_{8} Posts 
Quote:
Q: What happens if you simply run a test with llr? A: it runs PRP, then Lucas and finally Frobenius tests. By default, no special CLI options are needed By all means, sure,  run them. They have already been run, but why not run them once again? 

20210510, 00:04  #49  
Sep 2002
Database er0rr
29×157 Posts 
Quote:
Last fiddled with by paulunderwood on 20210510 at 00:06 

20210510, 00:52  #50 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
3×5×673 Posts 
One thing that I didn't know, is that FBase=a=<some base> is honored by llr when set as Fermat base, that is no surprise.
But!  what follows (i.e. L+F tests) is decoupled from the choice of a, so Lucas test happens to be all the same in all runs, so one is enough. Code:
Starting probable prime test of (10^81772071)/9 Using AVX512 FFT length 1600K, Pass1=1K, Pass2=1600, clm=1, 24 threads, a = 23 (10^81772071)/9 is base 23Fermat PRP! (8177207 decimal digits) Time : 25493.017 sec. Starting Lucas sequence Using AVX512 FFT length 1600K, Pass1=1K, Pass2=1600, clm=1, 24 threads, P = 6, Q = 2 _____________...and so on...___________ Using AVX512 FFT length 1600K, Pass1=1K, Pass2=1600, clm=1, 16 threads, a = 5 10^81772071)/9 is base 5Fermat PRP! (8177207 decimal digits) Time : 25663.426 sec. Starting Lucas sequence Using AVX512 FFT length 1600K, Pass1=1K, Pass2=1600, clm=1, 16 threads, P = 6, Q = 2 _____________...and so on...___________ Starting probable prime test of (10^81772071)/9 Using AVX512 FFT length 1600K, Pass1=1K, Pass2=1600, clm=1, 16 threads, a = 7 (10^81772071)/9 is base 7Fermat PRP! (8177207 decimal digits) Time : 25609.258 sec. Starting Lucas sequence Using AVX512 FFT length 1600K, Pass1=1K, Pass2=1600, clm=1, 16 threads, P = 6, Q = 2 _____________...and so on...___________ Starting probable prime test of (10^81772071)/9 Using AVX512 FFT length 1600K, Pass1=1K, Pass2=1600, clm=1, 16 threads, a = 11 (10^81772071)/9 is base 11Fermat PRP! (8177207 decimal digits) Time : 25643.544 sec. Starting Lucas sequence Using AVX512 FFT length 1600K, Pass1=1K, Pass2=1600, clm=1, 16 threads, P = 6, Q = 2 _____________...and so on... ...options: FBase= PBase= FermatBase= LucasBaseP= isLucasBaseQ= genLucasBaseQ= generalLucasBase= genLucasBaseP= ... Code:
sllr oLucasBaseP=12 oLucasPRPtest=1 oBPSW=1 d in Starting Lucas sequence Using FMA3 FFT length 1600K, Pass1=640, Pass2=2560, clm=1, 24 threads, P = 1, Q = 4 <<< looks like can be controlled P = 6, Q = 2 is good: kronecker(28,Rn) = 1 
20210510, 12:58  #51 
Einyen
Dec 2003
Denmark
3^{2}·383 Posts 
It was clearly a language communication issue:
"We are checking SPRP in 34 bases first (the best we can do for this PRP.)" I understood "(the best we can do for this PRP.)" as "That is all we can do for this PRP, only SPRP tests and nothing else." 
20210510, 15:43  #52 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
3·5·673 Posts 
Dear Andreas, yes, it is a language communication issue.
Do you disagree with the phrase: "say anything,  and you will be misinterpreted by at least one"? Or in other phrasing "A thought, once spoken, is a lie." (Fyodor Tyutchev, translated by Vladimir Nabokov) At least the thread title, I hope, is unequivocal. 
20210511, 22:46  #53 
Sep 2003
3·863 Posts 
Congratulations. I wonder, in the course of your search are you recording residues and factors for posterity?
Last fiddled with by GP2 on 20210511 at 22:47 
20210512, 12:02  #54 
Feb 2017
Nowhere
1100010111100_{2} Posts 

20210512, 16:32  #55 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
23557_{8} Posts 
Discussion of definitions (once again supporting the earlier observation that "A thought, once spoken, is a lie") is moved to a separate thread.

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