__One favorite story about Ramanujan__

One favorite story about Ramanujan revolves around a visit that Hardy paid to him in hospital. Hardy and Ramanujan had a habit of discussing the properties of different numbers. On this particular visit, Hardy commented to Ramanujan that the number of the taxi that he had just arrived in was 1729 -- a very uninteresting number. Ramanujan quickly replied that it was in fact a very interesting number as it was the smallest number that could be represented as the sum of two cubes in two ways:

1729 = 10^{3} + 9^{3}

and

1729 = 12^{3} + 1^{3}

Dear Sir,

ReplyDeleteSuch numbers are sometimes also called Taxicab Numbers.

By the way, equations such as c=a3+b3 are called Diophantine Equations, named after Diophantus (sometime in the period 200 BC - 400 AD, probably about 250 AD), when they involve only integers.

It was a good blog keep it up.

Pradeep Gupta

Head Test & Evaluation Dept.

Learninghour Tuition Centre.

www.learninghour.com

According to mohan bajaj it is wrong of common

ReplyDeletemistake made by3and6.IF IT IS RIGHT THEN POST A COMMENT HOW

nice idea sir ji. go ahead

ReplyDelete