1729 is the Hardy–Ramanujan number It is clear that is the given Hardy Ramanujan number. Thus option C is correct. Additional Information: This number derives its name from an interesting story. Mathematician G. H. Hardy once told about the great Indian mathematician Ramanujan. Once, while travelling in the taxi from London, Hardy noticed its number which was
Born in 1887, Ramanujan is also known as Ramanujan number or Hardy–Ramanujan number, named after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician Srinivasa Ramanujan who was ill in a hospital.
The Hardy-Ramanujan numbers (taxi-cab numbers Hardy-Ramanujan numbers are numbers that can be expressed as the sum of two cubes in two different ways. Here are 5 examples: 1. = 1³ + 12³ = 9³ + 10³. This is the smallest Hardy-Ramanujan number and was famously discussed by Hardy and Ramanujan. 1. = 2³ + 16³ = 9³ + 15³. 2. = 2³ + 24³ = 18³ + 20³.
By 1904 Ramanujan had eighteenth century mathematician Euler did so. So did Srinivasa Ramanujan, during the period when he was still in India, composing his now-famous notebooks. (This was before he went to England, in , at the invitation of G H Hardy.) Here are the formulas he found: if u and v are arbitrary integers, positive or negative, and.
The story of his → Numbers like , , , are known as Hardy- Ramanujan Numbers. They can be expressed as sum of two cubes in two different ways. → Numbers obtained when a number is multiplied by itself three times are known as cube numbers.
The number derives its name There is an interesting story about Srinivasa Ramanujan, India’s great mathematical genius and his famous mathematician friend Prof. G H Hardy. One day Prof. Hardy visited Ramanujan in a taxi whose number was
' To which Ramanujan replied:
Indian mathematician Srinivasa Ramanujan went to England at the invitation of British mathematician When Ramanujan fell ill, Hardy went to see him at a hospital riding a taxi. He said to Ramanujan that the cab number seemed rather dull and hoped that it was not a bad omen.
In 1957, with the The Hardy-Ramanujan numbers (taxi-cab numbers or taxicab numbers) are the smallest positive integers that are the sum of 2 cubes of positive integers in ways (the Hardy-Ramanujan number, i.e. the original taxi-cab number or taxicab number) being the smallest positive integer that is the sum of 2 cubes of positive integers in 2 ways).