Sum of 3 Cubes in 2 Distinct Ways

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Theorem

The sequence of positive integers which can be expressed as the sum of $3$ cubes numbers in two or more different ways begins:

\(\ds 251\) \(=\) \(\ds 5^3 + 5^3 + 1^3\) \(\ds = 6^3 + 3^3 + 2^3\)

This sequence is ??? in the On-Line Encyclopedia of Integer Sequences (N. J. A. Sloane (Ed.), 2008).


Sources