Which of the following number can be expressed as sum of two cubes in two different ways?

1998

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1729

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2001

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2009

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Solution

The correct option is B
1729

The numbers which can be expressed as sum of two cubes in two different ways are known as Hardy-Ramanujan numbers.
e.g.1729 = $1^{3} + 12^{3} = 9^{3} + 10^{3}$

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______ numbers can be expressed as sum of two cubes in two different ways.

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