20171231, 21:38  #1002 
Dec 2017
62_{8} Posts 
A quick guess on M50 would be 2^76092673  1
The above title is my guess. With some deep research within the mersenne forum, I was able to uncover this as the potential 50th mersenne prime. If this is M50, then this would be relatively close to M49 considering the extensive gaps between mersenne primes as P gets larger, in the expression 2^P  1.
In fact, I was able to prove that for all P prime, 2^P divides (2^(P + 1) + (P + 1)!) iff (if and only if) P is a mersenne prime. This is thus a new primality test, but unfortunately the value (P + 1)! can get very large very quickly, the greater the value of P. My point is, perhaps we could use this primality test to prove that M50 might be a mersenne prime without having to guess, but the only problem is, the values get much too large. 
20171231, 21:40  #1003  
"Serge"
Mar 2008
Phi(4,2^7658614+1)/2
2^{2}·7·337 Posts 
Quote:


20171231, 21:43  #1004 
Feb 2012
Prague, Czech Republ
AB_{16} Posts 

20171231, 21:47  #1005 
Dec 2017
2·5^{2} Posts 
What do you mean, you again?
I just joined the mersenne forum.

20180101, 01:59  #1006 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
7×37^{2} Posts 
Can I get a mod to wish posts from #62 to this one (inclusive) to the corn field?

20180101, 02:12  #1007  
Sep 2003
2·5·7·37 Posts 
Quote:


20180101, 06:08  #1008 
Feb 2017
3×5×11 Posts 

20180101, 06:28  #1009 
If I May
"Chris Halsall"
Sep 2002
Barbados
22553_{8} Posts 

20180101, 06:43  #1010 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
7·37^{2} Posts 
Can a supermod please, please, please move all of the gophne spawned threads to gophne's Blogorrhea area?
All of these threads are just becoming more of the same. Last fiddled with by Uncwilly on 20180101 at 06:44 
20180103, 10:11  #1011  
Romulan Interpreter
Jun 2011
Thailand
2^{2}×17×139 Posts 
Quote:
This number is Composite. Which means it is NOT Prime. Ever! Last fiddled with by LaurV on 20180103 at 10:13 

20180629, 00:13  #1012 
If I May
"Chris Halsall"
Sep 2002
Barbados
3·31·103 Posts 

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