20080916, 19:18  #23  
Feb 2004
France
1110010100_{2} Posts 
Quote:
The theoretical (but not yet proved !) Poisson's slope is : So, your B is not so far. Tony 

20080916, 20:19  #24  
Jun 2004
2^{2}×3×5 Posts 
Quote:
Quote:


20080916, 22:49  #25 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2×2,341 Posts 
Well, breaking from the mathematically sound 2^n intervals, I charted the number of MPs by 10^n digits:
0 = 7 (for 10^0 digits there are 7 MPs) 1 = 5 2 = 6 3 = 8 4 = 5 5 = 6 6 = 7 7 = 2 (so far) Again, based on unsound principles, excluding the first interval, I see a pattern (5,6,8,5,6,'7'). So, it would suggest there is one more MP at 10^6 digits. But with all the focus on larger ranges it could be a while before that range clears so I am guessing it will be in the 29M range but not found until November 2009. 
20080917, 05:56  #26 
"Kyle"
Feb 2005
Somewhere near M52..
3×5×61 Posts 
I predict M47's exponent will be approximately 47,300,000 and will be discovered in October of next year.

20080917, 17:59  #27 
6809 > 6502
"""""""""""""""""""
Aug 2003
101×103 Posts
5×19×103 Posts 
I have started tabulating the data. I am up to date at this point.

20080917, 18:49  #28 
"Robert Gerbicz"
Oct 2005
Hungary
3^{3}×5×11 Posts 
Never. There is no more Mersenne prime, the list is complete.

20080917, 19:12  #29  
Aug 2008
2·43 Posts 
Quote:
"All mersenne primes have been found" is a valid guess, so there should be a bucket for that. In fact, I would say that as of right now, Gerbicz is currently the leading contender in this contest 

20080917, 19:25  #30 
Account Deleted
"Tim Sorbera"
Aug 2006
San Antonio, TX USA
17×251 Posts 

20080917, 19:28  #31 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2×2,341 Posts 
To the contrary could there be MORE than expected?
I started monitoring the "pretty colorful stats report" almost 3 years ago (Oct 25, 2005).
At the time there were 42 known primes and 2.64 "Expected New Primes" for an expected total between 44 and 45. Not quite 3 years later we are at 46 known primes and it still reports 1.77 expected for an expected total NOW closer to 48 ... 3 more than expected 3 years ago. Is this not mathematically significant enough to make one wonder if they are LESS rare than we thought? 
20080917, 19:50  #32  
"Phil"
Sep 2002
Tracktown, U.S.A.
1119_{10} Posts 
Quote:
http://primes.utm.edu/mersenne/heuristic.html Note the last seven points  definitely a significantly tighter clustering than the clusterings at M21 through M23 and M24 through M26. Could be one of the following: 1) Purely a statistical deviation. 2) The beginning of a departure from the heuristic which has been pretty successful so far in characterizing the overall distribution of Mersenne primes. 3) Just the universe's way of encouraging us to continue searching for more Mersenne primes! 

20080917, 20:14  #33  
"Kyle"
Feb 2005
Somewhere near M52..
3·5·61 Posts 
Quote:


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