
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 = 43
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 = 43
Will this always produce a cube number?