1729
ramanujan's pet number is 1729(one thousand seven hundred twenty-nine)
C.H.Hardy was a British mathematician. Srinivasa Ramanujan was an Indian mathematician. Hardy visited Ramanujan in hospital. In Hardy's words "I remember once going to see him when he was ill at Putney. 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." Hence the Hardy-Ramanjuran number which is 1729.
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
1729
The Hardy-Ramanujan Number is 1729.
1729
1729 is the Ramanujan's favorite number because 1729 is the sum of two consecutive cubes. 12³+1³ 1728+1= 1729 10³+9³ 1000+729= 1729
1729
Ramanujan's number - 1729,which is the sum of squares of three numbers
He was one of the India's greatest mathematical geniuses .He introduced the theory of ramanujan's number(1729).
It is 1729. Discovered by mathemagician Srinivas Ramanujan, 1729 is said to be the magic number because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers. Ramanujan's conclusions are summed up as under: 1) 10 3 + 9 3 = 1729 and 2) 12 3 + 1 3 = 1729.
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.
ramanujan's pet number is 1729(one thousand seven hundred twenty-nine)
Ramanujan number is the smallest natural number that can be can be expressed as a sum of two perfect cubes in two different ways:- 123 + 13 = 1728+1 =1729 103 + 93 = 1000+729 =1729
ramanujan's pet number is 1729(one thousand seven hundred twenty-nine)
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)