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Ramanujan Number 1729

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 = 103 + 93
and
1729 = 123 + 13


3 comments:

  1. Dear Sir,
    Such 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

    ReplyDelete
  2. According to mohan bajaj it is wrong of common
    mistake made by3and6.IF IT IS RIGHT THEN POST A COMMENT HOW

    ReplyDelete