UPSKILL MATH PLUS

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The next two taxicab numbers after \(1729\) are \(4104\) and \(13832\). Determine two pairs of positive cubes whose sums give each number.
 
\(4104 =\) 23+i3
 
\(4104 =\) i3+153
 
\(13832\) \(=\) 183+i3
 
\(13832\) \(=\) i3+243