1729 is the natural number following 1728 and preceding 1730. It is the first nontrivial taxicab number, expressed as the sum of two cubic numbers in two different ways. It is known as the Ramanujan number or Hardy–Ramanujan number after G. H. Hardy and Srinivasa Ramanujan.

2021年12月22日 · Ramanujan explained that 1729 is the only number that is the sum of cubes of two different pairs of numbers: 123 + 13, and 103 + 93. It was not a sudden calculation for Ramanujan.

1729, the Hardy-Ramanujan number, exemplifies Srinivasa Ramanujan's genius. His birthday, December 22, is celebrated as National Mathematics Day. Srinivasa Ramanujan's mathematical talent cannot...

In mathematics, the nth taxicab number, typically denoted Ta(n) or Taxicab(n), is defined as the smallest integer that can be expressed as a sum of two positive integer cubes in n distinct ways. [1] The most famous taxicab number is 1729 = Ta(2) = 1 3 + 12 3 = 9 3 + 10 3, also known as the Hardy-Ramanujan number. [2] [3]

This story about the number 1729 goes back to 1918 when G. H. Hardy paid a visit to Indian Mathematician Srinivasa Ramanujan when he was suffering from tuberculosis and was admitted to a hospital near London.

It is the smallest number expressible as a sum of two cubes in two different ways. That is, 1729 = 1^3 + 12^3 = 9^3 + 10^3. This number is now called the Hardy-Ramanujan number, and the smallest numbers that can be expressed as the sum of two cubes in n different ways have been dubbed taxicab numbers. The next number in the sequence, the ...

2023年5月7日 · 1729 — Hardy-Ramanujan Number or simply Ramanujan’s Number. 1729 is also known as the smallest taxicab number. But why is it called so? Well, this story goes back to 1918 when G. H. Hardy...

2022年5月4日 · 1729 is the natural number following 1728 and preceding 1730. It is commonly known as Ramanujan’s number and the Ramanujan-Hardy number. This is a story about one of India’s great mathematical geniuses, S. Ramanujan. Once another famous mathematician Prof. G.H. Hardy came to visit him in a taxi whose number was 1729.

2021年12月22日 · The number 1729 is known as the Ramanujan-Hardy number after a visit by Hardy to see Ramanujan at a hospital at Putney.

2013年8月15日 · In honor of the Ramanujan-Hardy conversation, the smallest number expressible as the sum of two cubes in different ways is known as the taxicab number and is denoted as . Therefore, with this notation, we see that .