What Have We Discussed?

1.Numbers like 1729, 4104, 13832, are known as Hardy – Ramanujan Numbers. They can be expressed as sum of twothreeone cubes in two different ways.

2.Numbers obtained when a number is multiplied by itself three times are known as cubesquare numbers.

For example 1, 8, 27, ... etc.

3.If in the prime factorisation of any number, each factor appears threetwoone times, then the number is a perfect cube.

4.The symbol 3· denotes cube root. For example 327 = .