can anyone tell the smallest number that can be written as the sum of two cubes?

Question

can anyone tell the smallest number that can be written as the sum of two cubes?

Answer 1

1 cube + 12 cube = 1729

9 cube + 10 cube = 1729



1729 is the smallest numebr that is the sum of two cubes. When Ramanujan was travelling in a taxi he saw this as the number of taxi in front and exclaimed 'Oh! this is the smallest number that is the sum of two cubes!'



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Answer 2

2

Answer 3

1^3 + 1^3 = 2

Answer 4

Some assumptions are needed: are the numbers to be cubed positive? Are they whole numbers?



If they are positive whole numbers, excluding 0, then 1^3 + 1^3 = 2. If you include 0, then 0^3 + 0^3 = 0.



If they are positive but not necessarily whole, the smallest number will approach 0, as the cube of a fraction < 1 will be a smaller number than the fraction itself, and the fraction can be made very small.



If they are not necessarily positive, then the smallest number will approach negative infinity, as one answer has stated, since the cube of a large negative number will be a larger negative amount.

Answer 5

1^3+2^3=1+8=9

Answer 6

if u r considering the numbers both +ve and can be the same number the answer is 2



1^3 + 1^3 = 2



If u r considering the numbers both -ve and can be the same number theanswer is -2



(-1)^3 + (-1)^3 = -2



if u r considering the numbers can be positive and negative and can be the same number the answer is 0



1^3 + (-1)^3 = 0



If u r considering the numbers can be positive and can not be the same number the answer is 9



1^3 + 2^3 = 9

like this way there are combinations check the following



1^3 + (-2)^3 = -8

(-1)^3 + 2^3 = 8

Answer 7

1^3 + 1^3 = 2

1^3 + 2^3 = 9

Answer 8

It's not the question you asked, but there is a famous story about the smallest positive integer that can be written as the sum of two cubes in more than one way. Look up "Ramanujan's taxicab number" on the web-- one source is below.

Answer 9

The anser is 0(for positive no.s)

as 0^3 +0^3=0

or 1^3 +(-1)^3=1-1=0

Answer 10

The required answer= 0,

because, 1^3+(-1)^3=0

Answer 11

(1)^3 +(1)^3 =1

Answer 12

1 to n/e power is 1 so it would b 1 + 1

Answer 13

1^3 +(-1)^3 =0^3

Answer 14

Without going negative - it will be 2 surely



(1x1x1) + (1x1x1)



= 1 + 1 = 2



*

Answer 15

if it is a +ve nos answer is1

as 0cube + 1cube =1

if u want a non negative nos the answer is 0

as 1cube + (-1)cube =0

for negative nos no single nos as such

Answer 16

2 for sure dont listen to them dumb buts

Answer 17

hy dude if ranges are specified then its gud enough

Answer 18

negative infinety