Newer sums of three cubes

Understand

The search of solutions of the Diophantine equation $x^3 + y^3 + z^3 = k$ for $k<1000$ has been extended with bounds of $|x|$, $|y|$ and $|z|$ up to $10^{15}$.

• The first solution for $k=74$ is reported.
• This only leaves $k=33$ and $k=42$ for $k<100$ for which no solution has yet been found.
• A total of 966 new solutions were found.