A famous problem in the field of Diophantine equations is finding the three cubes which sum to a number, in the form x^3 + y^3 + z^3 = n. Results have been found as recently as 2019 and 2021, and there are still many unsolved cases below 1000. I implemented the algorithm from the leading researcher’s paper. Although my laptop isn’t quite powerful enough to find novel solutions, it found the solution for 30 which was discovered in 1999.