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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 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
how many different size cubes can u make with 64 multilink cubes?
To determine the number of different size cubes that can be made with 64 multilink cubes, we need to find all the factors of 64. The factors of 64 are 1, 2, 4, 8, 16, 32, and 64. These factors correspond to the possible dimensions of the cubes that can be formed using the multilink cubes. Therefore, there are 7 different size cubes that can be made with 64 multilink cubes.
How many prisms can be made with 18 cubes?
To determine the number of prisms that can be made with 18 cubes, we need to consider the different dimensions of the prism. A prism requires at least 3 faces to form a solid shape. With 18 cubes, we can form prisms with dimensions of 1x1x18, 1x2x9, or 1x3x6. Therefore, there are 3 possible prisms that can be made with 18 cubes.
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."'
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 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 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 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 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.
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 whose factors are cubes of two different prime numbers?
2 and 3 are the smallest prime numbers. So answer is 2^3 * 3^3 = 216
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
For any given number of cubes what arrangement uses the smallest surface area?
A 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)
What are the contributions of sri 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)
How many natural numbers can be represented as sum of cubes of two natural numbers in two different ways?
Probably infinite. The smallest is known as Ramanujan's number, 1729 using cubes of 1 and 12, and of 9 and10. Read more about the genius Ramanujan in Wikipaedia.
