Hilbert-Waring Theorem/Particular Cases/4

Particular Case of the Hilbert-Waring Theorem: $k = 4$
The Hilbert-Waring Theorem states that:

The case where $k = 4$ is:

Every positive integer can be expressed as the sum of at most $19$ powers of $4$.

That is:
 * $\map g 4 = 19$

Also see

 * Positive Integers not Expressible as Sum of Fewer than 19 Fourth Powers