Concatenations : x || y || z = (x + y + z)^3

 
 
 
 
                      x \; || \; y \; || \; z \; = \; (x + y + z)^3
 
 
 
For example,

 

121213882349 \; = \; 1212 \; || \; 1388 \; || \; 2349 \; = \; (1212 + 1388 + 2349)^3

128711132649 \; = \; 1287 \; || \; 1113 \; || \; 2649 \; = \; (1287 + 1113 + 2649)^3

162324571375 \; = \; 1623 \; || \; 2457 \; || \; 1375 \; = \; (1623 + 2457 + 1375)^3

171323771464 \; = \; 1713 \; || \; 2377 \; || \; 1464 \; = \; (1713 + 2377 + 1464)^3

368910352448 \; = \; 3689 \; || \; 1035 \; || \; 2448 \; = \; (3689 + 1035 + 2448)^3

 

Can you find other solutions?
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
This entry was posted in Number Puzzles and tagged . Bookmark the permalink.

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