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Why 1729 is called Ramanujan Number?
ramanujam expressed the number 1729 in sum of cubes of two positive numbers in two different ways.
What is the smallest number that can be expressed as the sum of two cubes in two different ways?
1729 = 13 + 123 = 93 + 103
What is the peculiarity of ramanujan's number?
it is the smallet positive integer which can be expressed as the sum of two cubes in two different ways 1729=1+1728 =1000+729
What is special about the number 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."'
Is 125x3 plus 144 a sum of cubes?
no
