The problem of 42 -- at least as it relates to whether the number could be considered the sum of three cubes -- has finally been solved. The question of whether every number under 100 could be ...

Mathematicians long wondered whether it's possible to express the number 33 as the sum of three cubes — that is, whether the equation 33 = x³+ y³+ z³ has a solution. They knew that 29 could be written ...

We all know that 42 is the answer to life, the universe, and everything, thanks to The Hitchhiker’s Guide to the Galaxy. Now, we also know that it’s the sum of three cubes. For decades, scientists ...

A nonzero rational number is called a cube sum if it is of the form a³ + b³ with a, a,bϵℚx. In this paper, we prove that for any odd integer k ≥ 1, there exist infinitely many cube-free odd integers n ...