X = a^3 + b^3 + c^3 = d^3 + e^3 + f^3
And, could you find an integer Y that can be expressed in three different ways as the sum of two perfect cubes, that is to say,
Y = a^3 + b^3 = c^3 + d^3 = e^3 + f^3
Note that 1729 is the smallest number that can be expressed as the sum of two cube numbers in two different ways
1729 = 1^3 + 12^3 = 9^3 + 10^3
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