Sum of Cubes1

a ³ + b ³ = x ³ + y ³ = 1729, such that a, b, x, and y are whole numbers.

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Algebra Calculus Statistics
PurpleMath TheMathPage

1. The name of this website has been inspired by the anecdote between G.H. Hardy and S. Ramanujan. Ramanujan was sick and in the hospital. Word was sent to his advisor and friend, Hardy who immediately went to to see Ramanujan. Hardy hailed a cab. As he stepped into the cab, he noted that the cab was numbered 1729. Upon arriving at the hospital, Hardy commented that he traveled in a cab of the most uninteresting number: number 1729. Quickly, apparently without a moment of thought, Ramanujan replied, "Actually, my Dear Hardy, 1729 is a very interesting number. It is the smallest number that is the sum of two cubes two different ways." Ramanujan was correct.

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