Question

How 1729 is a Hardy-Ramanujan number?

Answer 1

Hey mate ....,

Here is your answer....,

When Ramanujan was ill...

A famous $<u>british mathematician</u>$ went to the hospital to see Ramanujan .

He came to the hospital by a cab.

Ramanujan asked the British mathematician to tell him the number of that cab ..

Then the mathematician told it's a boring number 1729 ....

Then Ramanujan told that's not a boring number it's a magical number..

Then the British mathematician asked hin to elaborate ....

Then Ramanujan told that 1729 is the smallest number that can be written as the cubes of two numbers in two different ways ....

That is...........................................

$<b>1729 = {1}^{3} + {12}^{3} = {9}^{3} + {10}^{3} </b>$

As Ramanujan told that it is a magical number ......

$<b>It is called as Ramanujan number....... </b>$

Hope this answer helps you .........

If so oooo....

$Please mark me as <u><i><b>Brainliest.......</u></i></b>$

Answer 2

Answer    I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen. “No,” Ramanujan replied, “it is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways.” — G.H Hardy (1918)

Step-by-step explanation:

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