20220915, 03:38  #23  
"特朗普trump"
Feb 2019
朱晓丹没人草
2^{2}×3×11 Posts 
Quote:
Code:
but the number being tested does not meet the conditions that are necessary for the test output to be valid Code:
not meet the conditions the pfgw report 999998912894617 as prime with tp options,and it is not a bug?????????? 

20220915, 03:44  #24  
"Curtis"
Feb 2005
Riverside, CA
2×47×59 Posts 
The post you keep quoting states the exact condition that you keep questioning. I've requoted it here so you can read the last line of the post. Is your number of the form k * b^n1? That format assumes k < b^n, I think, but that may not be relevant.
Quote:
Last fiddled with by VBCurtis on 20220915 at 03:45 

20220915, 04:39  #25  
"特朗普trump"
Feb 2019
朱晓丹没人草
2^{2}×3×11 Posts 
Quote:
it can tell me it is lucas prp at most! Last fiddled with by bbb120 on 20220915 at 04:43 

20220915, 04:41  #26 
"特朗普trump"
Feb 2019
朱晓丹没人草
2^{2}·3·11 Posts 
https://www.alpertron.com.ar/ECM.HTM
we can test primality use this website,it is very easy to use! 
20220915, 04:56  #27  
"Curtis"
Feb 2005
Riverside, CA
1010110101010_{2} Posts 
Quote:
Please stop whining that the software doesn't work. Garbage in, garbage out. 

20220915, 06:27  #28  
"特朗普trump"
Feb 2019
朱晓丹没人草
2^{2}·3·11 Posts 
Quote:
{427.864, True} 34987 decimal digits mathematica use 427.864s to test primality on 2^116224  15905(34987 decimal digits) PFGW only use 26.5976s!!!!!!!! 427.864/26.5976=16.0865642013 why pfgw is much faster than mathematica??????? Code:
PFGW Version 4.0.3.64BIT.20220704.Win_Dev [GWNUM 29.8] Resuming input file input2 at line 2 Primality testing 2^11622415905 [N1/N+1, BrillhartLehmerSelfridge] Running N1 test using base 7 Running N+1 test using discriminant 31, base 1+sqrt(31) 2^11622415905 is Fermat and Lucas PRP! (26.5976s+0.0008s) Done. Last fiddled with by bbb120 on 20220915 at 06:27 

20220915, 07:27  #29  
"TF79LL86GIMPS96gpu17"
Mar 2017
US midwest
2^{2}×5^{2}×71 Posts 
Quote:
(Found trivially easily and quickly, first link returned by DuckDuckGo for search string "does mathematica use gwnum".) 

20220915, 13:20  #30  
Feb 2017
Nowhere
2^{2}×1,523 Posts 
Quote:
FWIW I verified that n "passes" the Fermat PRP tests to base 2 and base 14. When n tests as a Fermat PRP but as composite by MillerRabin to the same base, a factorization is immediately obtainable. In the case at hand, we have the factors Code:
p=2004791083197498027091532260422734265025940830205662543872531023690016085350598121358111595798609866791081582542679083484572616906958584643763990222898400226296015918301 Code:
q = 4009582166394996054183064520845468530051881660411325087745062047380032170701196242716223191597219733582163165085358166969145233813917169287527980445796800452592031836601 It means you've been using the wrong tool for the job. And then you've been complaining that the problem is that the tool is broken. Last fiddled with by Dr Sardonicus on 20220915 at 14:29 Reason: As indicated; add proper attribution for quote 

20220915, 14:03  #31 
Mar 2006
Germany
2×3×7×71 Posts 
It's only a warning from pfgw: if pfgw runs any file an *.ini file is created where you can find the last processed input file. Delete the .ini and there is no warning. So nothing to worry sbout.

20220916, 00:42  #32 
Mar 2019
136_{16} Posts 
“On two occasions, I have been asked [by members of Parliament], 'Pray, Mr. Babbage, if you put into the machine wrong figures, will the right answers come out?' I am not able to rightly apprehend the kind of confusion of ideas that could provoke such a question.”

20220916, 01:19  #33  
"特朗普trump"
Feb 2019
朱晓丹没人草
2^{2}·3·11 Posts 
Quote:
and fermat test number can not identify it(except base is its factor),but miller rain can, so miller rabin can improve the reliable of the software , Fermat+Lucas test can not improve any reliable at present! 

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