ramanujam expressed the number 1729 in sum of cubes of two positive numbers in two different ways.
1729 = 13 + 123 = 93 + 103
Cubes of numbers are made by multiplying a number by itself three times.
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
The numbers are 76 23 45
ramanujam expressed the number 1729 in sum of cubes of two positive numbers in two different ways.
That means that you calculate the cubes of two numbers, and then either add or subtract them.
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.
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 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.
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.
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.
8 and 9
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.
1729 = 13 + 123 = 93 + 103
Cubes of numbers are made by multiplying a number by itself three times.
1729, the smallest number that can be expressed as a sum of a pair of cubes in two different ways.