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 ...

THE “last theorem of Fermat” states that if x, y, z, p denote positive integers, the equation X p + Y p =Z p is impossible if p exceeds 2: thus ho cube can be the sum of two cubes, and so on. If the ...