I'm at a Mathematica workshop and the class was given this challenge problem:
 
Find integers a,b,c,d such that a^3 + b^3 + c^3 +d^3 =31
 
and in general, write a program to give the solutions to a^3 + b^3 + c^3 +d^3 
=k, k=1,..., 350.
 
Of course, some will be the empty set.
 
Anyone have an approach for this problem?
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