1729
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1^3+12^3=9^3+10^3
ramanujam expressed the number 1729 in sum of cubes of two positive numbers in two different ways.
1729
The number 1729 is known by the name the 'Hardy-Ramunajan number'. The famous British mathematician G. H. Hardy was quoted as saying '"I remember once going to see him when he was ill atPutney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. "No," he replied, "it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways."'
ramanujan's pet number is 1729(one thousand seven hundred twenty-nine)