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There are two sets of two numbers that have cubes that add up to 1729 are

{1, 12} : 1³ + 12² = 1 + 1728 = 1729

{9, 10} : 9³ + 10³ = 729 + 1000 = 1729

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Q: What two numbers have cubes that add up to 1729?
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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.


Definition of Sum or difference of two cubes?

That means that you calculate the cubes of two numbers, and then either add or subtract them.


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.


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


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.


Which two cube numbers add to make 28?

Let's denote the two cube numbers as (a^3) and (b^3), where (a) and (b) are integers. We are looking for two cube numbers that satisfy the equation (a^3 + b^3 = 28). By testing different values, we find that (1^3 + 3^3 = 1 + 27 = 28), so the cube numbers 1 and 3 add up to make 28.


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.


What are two consecutive numbers whose cubes add up to 1241?

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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.


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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.