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Ramanujan's number - 1729,which is the sum of squares of three numbers
he introduced the theory of ramanujan's number (1729) which is the least no. which can be expressed as the sum of 2 cubes in 2 different ways ( 9cube + 10cube ; 12cube + 1cube)
he introduced the theory of ramanujan's number (1729) which is the least no. which can be expressed as the sum of 2 cubes in 2 different ways ( 9cube + 10cube ; 12cube + 1cube)
According to Ramanujan, it's the lowest number that can be expressed in two different ways as the sum of two cubes (the cubes of 12 and 1; the cubes of 10 and 9). It 's the answer.
As the speciality of this number i.e., smallest number that can be shown as sum of two positive cubes in two ways was found by Ramanujam in the presence of Hardy.so it is also called hardy-ramanujan number.