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The result is also positive.

I don't know if there is an analytical way of doing this . I did it by trial and error.

so it was not all trial an error!

maybe...

how do you know that the smallest number is positive ?

I don't I assumed that.

yes

I am referring to your first reply in this thread :)

\[-|u| = a^3+b^3=c^3+d^3\]

yes Well maybe i should change the question to lowest positive number.

Ahh you should change the question, because there is no "least" element in the set of integers.

yes

yes

by trial and error i got 91
is that what you have too ?

yes
3^3 + 4^3 = 91
6^3 + (-5)^3 = 91

brilliant