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In 1918, Indian mathematician Srinivas Ramanujan was admitted to the hospital in London, where he was visited by his colleague and long-time friend G H Hardy. The fellow mathematician had arrived in a taxi which was numbered '1729' and had thought about it on his way to the room, upon entering Ramanujan's room, Hardy blurted "it was rather a dull number," after a brief hello.
When Ramanujan came to know of the number, the mathematician said "No Hardy, it is a very interesting number. It is the smallest number expressible as the sum of two cubes in two different ways."
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Ramanujan explained that 1729 is the only number that is the sum of cubes of two different pairs of numbers: 123 + 13, and 103 + 93.
It was not a sudden calculation for Ramanujan. According to his biography, "Years before, he had observed this little arithmetic morsel, recorded it in his notebook and, with that easy intimacy with numbers that was his trademark, remembered it."
The unique number later came to be known as the Hardy-Ramanujan number.
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