## Consecutive Cube

#### Problem

Three consecutive integers are multiplied together and the middle number is added.

E.g. 3 4 5 = 60 and 60 + 4 = 64 = 4^{3}

Will this always produce a cube number?

Problem ID: 83 (Oct 2002) Difficulty: 2 Star

Three consecutive integers are multiplied together and the middle number is added.

E.g. 3 4 5 = 60 and 60 + 4 = 64 = 4^{3}

Will this always produce a cube number?

Problem ID: 83 (Oct 2002) Difficulty: 2 Star