Cube of a Natural number

Write the cubes of 5 natural numbers of the form 3n+2(ie.5,8,11,) and verify the following: The cube of a natural number of the form 3n+2 is a natural number of the same form 3n+2 is a natural number of the same form i.e.when it is dividend by 3the remainder is 2

Write the cubes of 5 natural number which are of form 3n+1(edot g.4,7,10) and verify the following: The cube of a natural number of the form 3n+1 is a natural number of the same form 3n+1 is a natural number of the same form i.e.when divided by 3 it leaves the remainder 1

Write the cubes of 5 natural numbers of which are multiples of 7 and verify the following The cube of multiple of 7 is a multiple of 7^(3)

a, b, c are positive integers froming an increasing G.P . whose common ratio is rational number, b - a is cube of natural number and log_(6)a + log_(6)b + log_(6)c = 6 then a + b + c is divisible by

Cube of a rational number

How many natural numbers are there with the property that they can be expressed as the sum of the cubes of two natural numbers in two different ways.