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 CTK Exchange 
   
   
      
      	
      	
         
         
   
   shivgaur
    
   Member since Mar-9-11 
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   Mar-09-11, 09:58 AM (EST) |  
   
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    "Number Theory Problem" 
     
   
      
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      The question is: Show that there are positive integers m and n, with m > n, such that 2^m – 2^n is a multiple of 2011. You do not need to find particular values of m and n, but just show that they exist. Any lines of attack for this problem?
  Shiv  |   
      
    
   
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