# Hilbert-Waring Theorem/Variant Form/Particular Cases/3/Historical Note

## Particular Case of the Hilbert-Waring Theorem -- Variant Form: $k = 3$: Historical Note
It had been established by $1912$ that it takes no more than $9$ positive cubes to represent any positive integer as a sum.
The value of $G \left({3}\right)$ is still the subject of research.
Yuri Vladimirovich Linnik showed in $1943$ that the upper bound of $G \left({3}\right)$ is $7$.
Recent research, however, suggests that $G \left({3}\right)$ may indeed be $4$.