20220710, 23:15  #67  
Undefined
"The unspeakable one"
Jun 2006
My evil lair
6642_{10} Posts 
Quote:
There is literally a forum on this board. https://mersenneforum.org/forumdisplay.php?f=170 Last fiddled with by retina on 20220710 at 23:16 

20220710, 23:41  #68  
Mar 2019
467_{8} Posts 
Quote:
https://www.mersenneforum.org/showpo...0&postcount=10 

20220711, 09:41  #69  
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
2×3×1,931 Posts 
Quote:
Revealing to me. 

20220711, 14:38  #70  
Random Account
Aug 2009
Not U. + S.A.
100101101111_{2} Posts 
Quote:
When I searched, I didn't add "NFS." I did not know to add it. Mentions were simply "CADO." 

20220711, 17:34  #71  
Undefined
"The unspeakable one"
Jun 2006
My evil lair
2·3^{4}·41 Posts 
Quote:
If you gave it some more context, by supply more keywords, then it might have a chance to find what you want. Or if you were more diligent and went beyond page 1 perhaps it is there. Don't blame the tools, they only do what they are programmed to do. 

20220711, 18:45  #72  
Bamboozled!
"๐บ๐๐ท๐ท๐ญ"
May 2003
Down not across
2·3·1,931 Posts 
Quote:
How I hate this damned machine!That poem is about 60 years old by now. 

20220711, 18:58  #73 
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
97×103 Posts 
Try to find soap (the genome alignment tool).
Is it Google's fault that if you search for soap you will not find it? Too much soap in the world! Hint: search, obviously, for soap genome alignment tool . It is easy. Use specific queries. On the other hand, if you wanted to find soap protocol, then search, obviously, for soap protocol 
20220730, 15:51  #74 
Mar 2021
France
42_{10} Posts 
You can't write 2^12771 as a^2+3b^2 so it means than all factors of M1277 are == 2 (mod 3) ? And I have seen on this link https://oeis.org/A215799 than prime factors of 2^p1 which are == 2 (mod 3) come in pairs.
So it means than 2^12771 is a semiprime or has 4 factors ? Oops sorry for the report Balatov and admins my bad misscliking. Last fiddled with by kijinSeija on 20220730 at 15:53 
20220730, 16:05  #75  
Apr 2020
36B_{16} Posts 
Quote:
What makes you believe that 2^12771 can't be written as a^2+3b^2? We won't know if it can be until we know at least one prime factor. N can be represented in the form a^2+3b^2 if and only if every prime factor of the form 2 mod 3 divides it an even number of times. So even if you did somehow know that 2^12771 couldn't be written as a^2+3b^2, all it would tell you is that there is some prime of the form 2 mod 3 that divides it an odd number of times. (And since 2^12771 == 1 mod 3, that would mean it must have a second prime factor of the form 2 mod 3  this is the "factors of the form 2 mod 3 come in pairs" observation.) Not that all its prime factors are 2 mod 3. 

20220730, 16:17  #76  
Mar 2021
France
2×3×7 Posts 
Quote:


20220730, 22:00  #77  
Nov 2008
509 Posts 
Quote:


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