Hilbert-Waring Theorem/Particular Cases/5

Particular Case of the Hilbert-Waring Theorem: $k = 5$
The Hilbert-Waring Theorem states that:

The case where $k = 5$ is:

Every positive integer can be expressed as the sum of at most $37$ positive fifth powers.

That is:
 * $g \left({5}\right) = 37$

Also see

 * Largest Number not Expressible as Sum of Less than 37 Fifth Powers


 * Largest Number not Expressible as Sum of Less than 32 Fifth Powers