Talk:999 (number)

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Number 999 may also be considered as a 'taxicab number', defined according to the famous Indian mathematician Ramanujan, except that it is equal not to the sum, but to the difference of two perfect cubes, in two different ways:

      a) 999 = 1000 - 1  = 10^3 - 1^3
      b) 999 = 1728 - 729  = 12^3 - 9^3

Beside this example, there must certainly exist other numbers like this, that are each equal to the difference of two cubes in 3, 4,...n different ways.