20130903, 18:17  #144 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2×37×131 Posts 
Here's some LLR data that would help you guys to scroll some of these columns a screenful down (first four columns for p<3,030,000)

20130903, 21:12  #145 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2×37×131 Posts 
P.S. Because I actually ran (some months ago) a lot of ad hoc tests on smaller MMp (and I also have the divisibility test binary built from a modified Prime95), I know that the most optimal representation for a candidate factor appears to be
k*2^{p+1}(2k1), or in (k,b,n,c) form: k,2,p+1,(2k1) (for P95's worktodo.txt or for an LLR input file). I.e. extra two goes into the exponent, to keep "k" low. P.P.S. I wanted to mention this before but didn't. Here it goes now: It is easy to demonstrate that if a 2kM_{p}+1 is a factor of MM_{p} (with conventional, i.e. rather small, values of k), then it doesn't need a proof of primality  it has no room to have smaller factors of 2k_{1}M_{p}+1 form => it is prime. The converse, of course, is not true; rather we'd expect to need to collect a lot of primes of form 2kM_{p}+1 to finally hit a divider of MM_{p}. 
20130904, 08:52  #146  
Banned
"Luigi"
Aug 2002
Team Italia
2·41·59 Posts 
Quote:
Luigi 

20130904, 09:03  #147  
Banned
"Luigi"
Aug 2002
Team Italia
2·41·59 Posts 
Quote:
Luigi 

20130904, 13:17  #148 
"Åke Tilander"
Apr 2011
Sandviken, Sweden
2×283 Posts 

20130904, 16:07  #149 
Romulan Interpreter
"name field"
Jun 2011
Thailand
2×3×5×7×47 Posts 

20130904, 18:11  #150  
Romulan Interpreter
"name field"
Jun 2011
Thailand
2·3·5·7·47 Posts 
Quote:
There are some question marks for MM#29MM#31 (in columns HI), that is because the values were written in the table, but I did not find any log file with the "extensions". I will recheck them anyhow. Also, for MM#34, at the time when I did the tests, k=91 was last tested, and I checked 92 and 93, they did not divide, so the next k would be 112 (see a former post in this thread) but when I checked your tables today, MM#34 (same as #35#38) seems to be bloodymuch advanced. Last fiddled with by LaurV on 20130904 at 18:13 

20130904, 23:25  #151 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
2809_{16} Posts 

20130905, 10:50  #152 
"Åke Tilander"
Apr 2011
Sandviken, Sweden
2·283 Posts 
If I want to TF one specific MMp with one specific possible factor 2*k*Mp+1 which program is best to use? (I am now thinking of medium to large sized MMp:s).

20130905, 13:36  #153 
Einyen
Dec 2003
Denmark
CB7_{16} Posts 
See post #122  #131 in this thread.
Last fiddled with by ATH on 20130905 at 13:37 
20130905, 13:46  #154  
Banned
"Luigi"
Aug 2002
Team Italia
2×41×59 Posts 
Quote:
I am going to ask Tony Forbes if there are news in the ranges he is working on, update the table on Doublemersennes, and finaally apply your updates. I am also asking Will Edgington about his databases, waiting for a reply. Before any modificaton is shown, I'd like that no one steps over preowned ranges. Thanks to everyone for the infos! Luigi Last fiddled with by ET_ on 20130905 at 14:22 Reason: email sent to Tony and Will. 

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