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Why 1729 is a special number?
His most popular discovery, however, remains the Hardy-Ramanujan number to this date. The Hardy-Ramanujan number stems from an anecdote wherein the British mathematician GH Hardy had gone to meet S Ramanujan in hospital.
Hardy said that he came in a taxi having the number '1729', which the British mathematician described "as rather a dull one". Ramanujan replied to this saying, "No Hardy, it's a very interesting number! It's the smallest number expressible as the sum of two cubes in two different ways."
1729 is the sum of the cubes of 10 and 9. Cube of 10 is 1000 and the cube of 9 is 729. Both the cubes, therefore, add up to 1729. 1729 is also the sum of the cubes of 12 and 1. Cube of 12 is 1728 and the cube of 1 is 1. Both the cubes, therefore, add up to 1729.
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carlosgutierrez
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Answer:
1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 1729 is the sum of the cubes of 10 and 9 - cube of 10 is 1000 and cube of 9 is 729; adding the two numbers results in 1729.
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harrisonncza
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