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2006-09-14 01:59:28 · 11 answers · asked by madhu p 1 in Science & Mathematics Mathematics

11 answers

did you mean: Ramanujan Number?

Ramanujan number:
The smallest nontrivial taxicab number, i.e., the smallest number representable in two ways as a sum of two cubes.
It is given by :

1729=1^3+12^3=9^3+10^3

The number derives its name from the following story G. H. Hardy told about Ramanujan . "Once, in the taxi from London, Hardy noticed its number, 1729. He must have thought about it a little because he entered the room where Ramanujan lay in bed and, with scarcely a hello, blurted out his disappointment with it. It was, he declared, 'rather a dull number,' adding that he hoped that wasn't a bad omen. 'No, Hardy,' said Ramanujan, 'it is a very interesting number. It is the smallest number expressible as the sum of two [positive] cubes in two different ways"'

2006-09-14 02:09:18 · answer #1 · answered by btribuwono 1 · 0 0

Number that which can be expressed of the form a^2+b^2=c^2+d^2, ie expressing a number as "sum of squares in two different ways" are called ramanujan numbers.
For eg, 1729=12^2+1^2=10^2+9^2.
It is a special class of diophantine numbers.

2006-09-14 10:24:03 · answer #2 · answered by Anonymous · 0 0

The Ramanujam Number is 1729.

2006-09-14 09:22:10 · answer #3 · answered by Amna Z 3 · 0 0

a no. which can be represented as sum of 2 cubes:
eg: 1729 = 10^3 + 9^3 = 1000+ 729
= 12^3 + 1^3 = 1728 + 1

2006-09-15 09:10:31 · answer #4 · answered by cosmic_ashim 2 · 0 0

1729

2006-09-17 11:20:07 · answer #5 · answered by ANKIT G 1 · 0 0

1729

2006-09-16 05:05:04 · answer #6 · answered by ----- 1 · 0 0

1729 is known as the Hardy-Ramanujan number, after a famous anecdote of the British mathematician G. H. Hardy regarding a hospital visit to the Indian mathematician Srinivasa Ramanujan.

2006-09-14 12:10:05 · answer #7 · answered by Anonymous · 0 0

1729=12^3+1^3=10^3+9^3

2006-09-14 09:41:47 · answer #8 · answered by Anonymous · 0 0

Ramanujam number is 1729

It is the smallest number expressible as the sum of two [positive] cubes in two different ways i.e, 1729= 1x1x1+12x12x12= 9x9x9+10x10x10

2006-09-15 06:34:20 · answer #9 · answered by Guru charan R 2 · 0 0

It is 1729.

See the link below for more details.

http://en.wikipedia.org/wiki/1729_(number)

2006-09-14 09:07:51 · answer #10 · answered by Newme 3 · 0 0

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