Smallest Positive Integer not of form +-4 mod 9 not representable as Sum of Three Cubes/Mistake

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Source Work

1997: David Wells: Curious and Interesting Numbers (2nd ed.):

The Dictionary
$30$


Mistake

$30$ is the smallest number which has not been represented as the sum of $3$ integer cubes.


Integers $n$ of the form $n \equiv \pm 4 \pmod 9$ are not so representable.

The statement needs to be restated as that:

$30$ is the smallest number not equivalent to $\pm 4 \pmod 9$ which has not been represented as the sum of $3$ integer cubes.


Since the statement was written, $30$ has now been so represented:

$30 = 2220422932^3 + \left({- 2218888517^3}\right) + \left({- 283059965^3}\right)$


Sources