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1729

1729 is known as the Hardy-Ramanujan number (Taxicab number), famous for its significance in number theory. It's the smallest positive integer that can be expressed as the sum of two cubes in two different ways: 1729 = 1^3 + 12^3 = 9^3 + 10^3, a fact that fascinated the mathematician Srinivasa Ramanujan.

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