Check your formula - it is incorrect. It works for the Pythagorean triplet 3,4,5:
3^3 + 4^3 + 3(3)(4) = 127;\ \ 5^3 = 125
but not for the triplet 5,12,13:
5^3 + 12^3 + 3(5)(12) = 2033; \...
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