20190301, 01:06  #387 
Sep 2002
Database er0rr
2^{3}·601 Posts 
It maybe very reliable for "industrial use". It is certainly quicker than ECPP, but not quite as fast as, for example, Proth's Theorem's test. PFGW will run combined Fermat+Lucas test with its "tc" switch, and will attempt to prove a number (100%) prime  no question, no doubt, no 1/10^10000000000000000 chance of not being prime.
Last fiddled with by paulunderwood on 20190301 at 01:07 
20190301, 01:29  #388  
"谁改我名死全"
Feb 2019
朱晓丹没人草
2×71 Posts 
Quote:
https://en.wikipedia.org/wiki/Lucas_...s_pseudoprimes you can read this for lucas test! 

20190301, 04:30  #389 
"Serge"
Mar 2008
San Diego, Calif.
3×3,467 Posts 
Why, yes, this is very clear.
You hijacked other people's old respectable thread to make a statement. Good for you! Now everyone will know you.  The one who teaches others how to make whatever they have no idea how to do (and had no idea how to do in this thread from 2008 to 2014) with a very fast and very very Reliable nothing. 
20230407, 01:43  #390 
Mar 2023
7 Posts 
I have finished proving the next number prime on the list, 2^103766+17659. This took about a month on and off on my computer with multiprecision.org/CM, and just barely fails to make the ECPP top 20 as of now. The certificate is being verified at factordb.

20230407, 02:12  #391 
Sep 2002
Database er0rr
2^{3}·601 Posts 
Congrats

20230410, 20:29  #392 
"Phil"
Sep 2002
Tracktown, U.S.A.
19·59 Posts 
Very nice! I have updated the list at the beginning of this thread. Now only 15 more probable primes need to be proven to turn this into a theorem! Looks like recent records indicate that the next 5 probable primes are within reach.

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