Hilbert-Waring Theorem/Variant Form/Particular Cases/4/Historical Note

Particular Case of the Hilbert-Waring Theorem -- Variant Form: $k = 4$: Historical Note
showed in $1939$ that $G \left({4}\right) = 16$.

$13792$ is the largest number to require $17$ fourth powers.

, and  showed in $2000$ that every number between $13793$ and $10^{245}$ requires at most $16$.

, and  extended 's $1939$ result to show that every number above $10^{220}$ requires no more than $16$.