Hilbert-Waring Theorem/Particular Cases/3/Historical Note

Particular Case of the Hilbert-Waring Theorem: $k = 3$: Historical Note
knew that some integers required at least $9$ positive cubes to represent them as a sum:

In fact these are the only two integers that need as many as $9$ positive cubes to express them.

All other integers need no more than $8$.

It has recently been shown that only finitely many numbers do require $8$ positive cubes.

From some point on, $7$ cubes are enough.

It is not known what that point is.