20130529, 19:59  #1 
Mar 2013
2_{8} Posts 
Conjecture about Mersenne primes and nonprimes v2
I posted a tread about the solution of the riddle "the 4 button room".
My conjecture was that A056295(n) is related to 2^n1 being a prime or not. (search on this site). I wanted to compare A056295(n) to a smooth version of that series. At the time I hade no test quantity but I thought of  a very primitive  one now, which is simply the mean of the number for n1 and n+1, i.e. $TQ=(A056295(n1)+ A056295(n+1))/2$ with which I compare A056295(n) I find that there is a perfect correlation between A056295(n)/TQ and the number of factors of 2^n1 up to n=10. That is good beginning. I can't show you the graph but it is simple enough to establish. 
20130530, 12:32  #2  
"Bob Silverman"
Nov 2003
North of Boston
1D58_{16} Posts 
Quote:


Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Distribution of Mersenne primes before and after couples of primes found  emily  Math  35  20221221 16:32 
Mersenne Primes p which are in a set of twin primes is finite?  carpetpool  Miscellaneous Math  4  20220714 02:29 
A conjecture about Mersenne primes and nonprimes  Unregistered  Information & Answers  0  20110131 15:41 
A conjecture on a new property of Mersenne primes  Thiele  Math  18  20100523 05:35 
Twin Primes Conjecture  R.D. Silverman  Math  25  20050406 08:07 