Four biquadrates whose sum is a square

 

 
 
Find four positive integers   a, \; b, \; c, \; d   such that

a^4 \; + \; b^4 \; + \; c^4 \; + \; d^4 \; = \; N^4

For   a, \; b, \; c, \; d \; < \; 100

2^4 + 4^4 + 6^4 + 7^4 \; = \; 63^2
2^4 + 4^4 + 8^4 + 19^4 \; = \; 367^2

………………………….
………………………….
………………………….

199^4 + 271^4 + 343^4 + 559^4 \; = \; 344162^2
 

 
 

 
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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