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, the smallest number that can be expressed as a sum of a pair of cubes in two different ways.
a3 + b3
The two different perfect cubes whose sum is closest to 99 without exceeding 99 are 64 and 27 (4^3 and 3^3). Their sum is 91.
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The sum of two cubes can be factored as below.a3 + b3 = (a + b)(a2 - ab + b2)
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
1729, the smallest number that can be expressed as a sum of a pair of cubes in two different ways.
a3 + b3
That means that you calculate the cubes of two numbers, and then either add or subtract them.
ramanujam expressed the number 1729 in sum of cubes of two positive numbers in two different ways.
The two different perfect cubes whose sum is closest to 99 without exceeding 99 are 64 and 27 (4^3 and 3^3). Their sum is 91.
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The sum of their squares is 10.
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
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