It is well known that the sum of cubes of three consecutive integers is always divisible by 9. Is this an isolated incident? We showed that this can be generalized to the fact that the sum of the mkth ...
Several mathematicians have studied the problem of finding two distinct sets of integers x₁, . . . , xs and y₁ , . . . , ys, such that $\sum\limits_{i = 1}^s {x_i ...