Add to ORKGcomplained to his colleague, the genius Ramanujan, that the number of the taxi he just took was really boring: 1729. Ramanujan disagreed, immediately recognizing that 1729 is the smallest integer that can be written as the sum of two positive cubes in two different ways: 1729 = 13 + 123 = 93 + 103 After this story, we call the smallest integer that can be written as the sum of two positive cubes in n distinct ways the n-th taxicab number, T(n). So, T(1)=2 an
any “higher ” parabola and Roberval wrote back to say that he had discovered the same thing by using...
This is a simple study of expressions of positive integers as sums of consecutive integers. In the f...
Abstract. We establish that, for almost all natural numbers N, there is a sum of two positive integr...
Hardy was surprised by Ramanujan’s remark about a London taxi numbered 1729: “it is a very interesti...
Hardy [1] relates the following anecdote. “I remember going to see him [Ramanujan] when he was lying...
For almost 350 years it was known that 1729 is the smallest integer which can be expressed as the su...
In the last issue of At Right Angles we had noted an observation that Ramanujan had made about the ...
It is well known that G. H. Hardy travelled in a taxicab numbered 1729 to an English nursing home to...
In this paper, I introduce teaching activities about Ramanujan’s cab numbers and related software th...
In 1917, the British mathematician G.H. Hardy visited the Indian mathematical genius Ramanujan in th...
This paper brings representations of 1729, a famous Hardy-Ramanujan number in different situations. ...
A long-standing conjecture states that every positive integer greater than 454 is a sum of at most s...
Srinivasa Ramanujan FRS (Fellow of Royal Society)(22 December 1887 – 26 April 1920) was an Indian ma...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
any “higher ” parabola and Roberval wrote back to say that he had discovered the same thing by using...
This is a simple study of expressions of positive integers as sums of consecutive integers. In the f...
Abstract. We establish that, for almost all natural numbers N, there is a sum of two positive integr...
Hardy was surprised by Ramanujan’s remark about a London taxi numbered 1729: “it is a very interesti...
Hardy [1] relates the following anecdote. “I remember going to see him [Ramanujan] when he was lying...
For almost 350 years it was known that 1729 is the smallest integer which can be expressed as the su...
In the last issue of At Right Angles we had noted an observation that Ramanujan had made about the ...
It is well known that G. H. Hardy travelled in a taxicab numbered 1729 to an English nursing home to...
In this paper, I introduce teaching activities about Ramanujan’s cab numbers and related software th...
In 1917, the British mathematician G.H. Hardy visited the Indian mathematical genius Ramanujan in th...
This paper brings representations of 1729, a famous Hardy-Ramanujan number in different situations. ...
A long-standing conjecture states that every positive integer greater than 454 is a sum of at most s...
Srinivasa Ramanujan FRS (Fellow of Royal Society)(22 December 1887 – 26 April 1920) was an Indian ma...
This paper delt on the representation of integers as the sum of two or more than two squares. A natu...
Srinivasa Ramanujan (1887-1920) was one of the world's greatest mathematical geniuses. He work exten...
any “higher ” parabola and Roberval wrote back to say that he had discovered the same thing by using...
This is a simple study of expressions of positive integers as sums of consecutive integers. In the f...
Abstract. We establish that, for almost all natural numbers N, there is a sum of two positive integr...