# Cracking the problem with 33

```@article{Booker2019CrackingTP,
title={Cracking the problem with 33},
author={Andrew R. Booker},
journal={Research in Number Theory},
year={2019}
}```
• A. Booker
• Published 11 March 2019
• Mathematics
• Research in Number Theory
Inspired by the Numberphile video "The uncracked problem with 33" by Tim Browning and Brady Haran, we investigate solutions to \$x^3+y^3+z^3=k\$ for a few small values of \$k\$. We find the first known solution for \$k=33\$.
6 Citations
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By first solving the equation \$x^3+y^3+z^3=k\$ with fixed \$k\$ for \$z\$ and then considering the distance to the nearest integer function of the result, we turn the sum of three cubes problem into an
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