20190711, 20:56  #177 
Jul 2003
2^{3}×73 Posts 
hi,
i did this range with llr v3.8.21/3.8.23 and i do not have a json file i read here in the forum that the programmer of llr will integrate gerbicz error checking but it will need some time 
20190711, 21:07  #178 
Sep 2002
Database er0rr
2^{3}×3×139 Posts 
You can use Prime95/mprime to crunch these numbers and get the desirable output.

20190712, 00:27  #179 
Sep 2003
2,579 Posts 
I don't think there's any advantage to using LLR. It uses the same underlying gwnum library as mprime. Maybe it can test some extra forms, but for plain old k*b^n+c PRP3 I don't think there's any reason not to use mprime (the latest version, namely 29.8 b5).
LLR added the capability to do "VrbaReix" residues, but those are unproven. I don't know if there was speed advantage to using them, compared to PRP3 ? The LLR output in your file shows 64bit "RES64" and "OLD64" values, I'm not sure how these differ, or if the first one is indeed a PRP3 residue. The range is 20.19M to 20.20M ... did you do 20.0M to 20.19M ? I think I saw only a bunch of trialfactoring results from you in the 20M ranges. 
20190712, 01:48  #180 
Jul 2003
2^{3}·73 Posts 
hi,
here are the results for W2147483647 no factor for W2147483647 from 2^84 to 2^85 [mfaktc 0.21 barrett87_mul32_gs] no factor for W2147483647 from 2^85 to 2^86 [mfaktc 0.21 barrett87_mul32_gs] W2147483647 released 
20190712, 20:24  #181  
Jul 2003
2^{3}×73 Posts 
Quote:
i do use sometimes a prpnet server that cannot use prime95/mprime 

20190713, 15:17  #182  
Sep 2003
A13_{16} Posts 
Quote:
Quote:
Perhaps one of them is a type1 PRP3 residue, I'm not sure. Gerbicz testing for Wagstaff numbers only works with type5 residues, not type1. Can you do a quick check with your LLR executable of a small exponent like 999983 ? Then we could compare the results with mprime and see if the residues really are type1 PRP3. So anyways I think we can conclude that the 20.19M subrange almost certainly doesn't contain a Wagstaff prime. But the numerical residue values can't be added directly to my little database because that stores 2048bit type5 residues. 

20190713, 16:20  #183  
Jul 2003
2^{3}·73 Posts 
Quote:
with llr v3.8.23 (2^999983+1)/3 is not prime. RES64: 4C43A8FD104EC89D. OLD64: 607828060DA47DC2 Time : 303.538 sec. 

20190713, 18:20  #184 
Sep 2003
2,579 Posts 

20200223, 11:19  #185 
Jul 2003
2^{3}·73 Posts 
hi,
here are the results for wagstaff numbers n=11980k to 12000k 
20200223, 13:48  #186 
Sep 2006
The Netherlands
677 Posts 

20200223, 13:52  #187 
Sep 2006
The Netherlands
1245_{8} Posts 
Thanks for your fanatism Lalera  but why do you already checked range by Propper? You want to double check?
Why not factor exponent+1 and then the factorisation exponent+1 giving for example the strongest primes and having a Mersenne or Wagstaff known prime exponent als one of its factors  try search those exponents at say range 19M59M and hope you are so lucky? 
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