In this study, the authors sought to find out how many mathematical solutions there were to the Indian mathematician Ramanujan's formula, which is *a*^{3} + *b*^{3} + *c*^{3} = *d*^{3}, and also quantify the densities its solutions. They wrote their own computer program to do so and kept values of *a*, *b*, and *c* less than 10,000. While conducting the analysis, they were also looking for perfect power taxicab numbers and their frequency. They were able to find solutions and densities for the equation. Additionally, while they found that most perfect cube taxicab numbers had a frequency of 2 or 3, they also found on number with a frequency of 42!

Read More...