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[Source: The Observer, 6 July 2003.]
[Source: The Music of the Primes: why an unsolved problem in mathematics matters. Marcus duSautoy]
Explanation: Srinivasa Ramanujan was a maverick, genius who travelled from his native India to Cambridge to work in the field of mathematics with G.H.Hardy. Although their relationship had been almost exclusively confined to the joys of studying mathematics together, Hardy later confessed that Ramanujan had been the one true love of his life. Sadly, after several years of productive research, Ramanujan became unwell and so depressed that he tried to take his own life.
One day, whilst visiting Ramanujan in a London nursing home, Hardy, exhibiting the archetypal characteristics of a mathematician, struggled to find the appropriate words of comfort or sympathy for his downhearted friend. All he could think of was to inform the ailing Ramanujan that he had travelled in a taxi with a very dull number - 1,729. Lying sick and miserable on his bed, Ramanujan's spirits stirred. His animated response is one the great quotes and anecdotes in the history of mathematics: "No, Hardy! No, Hardy! It is a very interesting number. It is the smallest number expressible as the sum of two cubes in two different ways."
He was correct: 1, 729 = 13 + 123 = 103 + 93
[Source: The Music of the Primes: why an unsolved problem in mathematics matters. Marcus du Sautoy]
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