20081104, 17:36  #1 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
11242_{8} Posts 
Mersenne Observation....
I manually inspected up to 10,000 and noticed that in EVERY case when a factor of a mersenne number is used as an exponent it too has a factor and has a relatively small factor.
Example 2^111 has a factor of 23 2^231 has a factor of 47 2^471 has a factor of 13367 2^291 has a factor of 233 2^2331 has a factor of 1399 Is this coincidence OR a characteritic of Mersenne numbers OR ... ? 
20081104, 18:09  #2  
Nov 2003
2^{2}·5·373 Posts 
Quote:


20081104, 18:36  #3 
Einyen
Dec 2003
Denmark
2·7·227 Posts 

20081104, 19:14  #4 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
2×3^{2}×5×53 Posts 
To R.D.S. and ATH.
Yes, my first instinct agrees with you. 
20081104, 19:23  #5 
Feb 2006
Denmark
2×5×23 Posts 
2^111 = 23*89.
2^891 is prime. 
20081104, 20:27  #6 
1976 Toyota Corona years forever!
"Wayne"
Nov 2006
Saskatchewan, Canada
12A2_{16} Posts 

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