N^5 = A^5 + B^5 + C^5 + D^5 + E^5

 
 
N^5 \; = \; A^5 \; + \; B^5 \; + \; C^5 \; + \; D^5 \; + \; E^5
 

   76^5 \; = \; 74^5 \; + \; 50^5 \; + \; 26^5 \; + \; (-24)^5 \; + \; 10^5
  107^5 \; = \; 100^5 \; + \; 80^5 \; + \; 57^5 \; + \; 43^5 \; + \; 7^5
  318^5 \; = \; 270^5 \; + \; 268^5 \; + \; 218^5 \; + \; (-168)^5 \; + \; 150^5
1099^5 \; = \; 1049^5 \; + \; 999^5 \; + \; (-949)^5 \; + \; 640^5 \; + \; 200^5

 
Find other solutions for   N \; \leq \; 1000

 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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