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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
What is the special of the Ramanujan Number?
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
Why is Ramanujan's favourite number 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
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 Ramanujans taxi number?
1729, the smallest number that can be expressed as a sum of a pair of cubes 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
Why is 1729 a special number for Ramanujan?
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.
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
Importance of the number 1729 in the lives of srivasa ramanujan and ghhardy?
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.
When can a polynomial is said to be sum or difference of two cubes?
When it is of the form x3 + y3 or x3 - y3. x or y can have coefficients that are perfect cubes, or even ratios of perfect cubes eg x3 + (8/27)y3.
What is the specialty of the number 1729 and what is the special name for it according to maths?
1729 is the smallest natural number that can be expressed as a sum of two cubes of positive number in two different ways: 1729 = 13 + 123 = 93 + 103 It is known as the Ramanujan-Hardy number. But is also known as a Taxicab number which are numbers that can be expressed as sums ot 2 cubes in 2, 3, 4, etc different ways.
What is interesting about Hardy-Ramanujan number?
1729 is the smallest number that can be expressed in two ways as the sum of two cubes.[12cube+9cube] * * * * * ... two positive cubes. 12 cube + 1 cube and 10 cube + 9 cube.
What are the contributions of Srinivasa Ramanujan?
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)
