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1/
1729 is the Hardy-Ramanujan number, known to be the second #taxicab number.
The nth taxicab number, denoted by Ta(n), is the smallest #number representable in n different ways as the sum of positive cubes.
My article
https://bit.ly/33t9FpC
#iteachmath
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1729 is the Hardy-Ramanujan number, known to be the second #taxicab number.
The nth taxicab number, denoted by Ta(n), is the smallest #number representable in n different ways as the sum of positive cubes.
My article
https://bit.ly/33t9FpC #iteachmath
#mtbos
#mtmschat
2/
1729 is known as the Hardy-Ramanujan #number in consequence of a famous anecdote dating back to when the English mathematician G.H. Hardy visited the Putney hospital, where his friend and collaborator #Ramanujan was hospitalized.
#history
#mathematics
1729 is known as the Hardy-Ramanujan #number in consequence of a famous anecdote dating back to when the English mathematician G.H. Hardy visited the Putney hospital, where his friend and collaborator #Ramanujan was hospitalized.
#history
#mathematics
3/
“I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen".
“No”- #Ramanujan replied- "it is a very interesting number;
#maths
“I remember once going to see him when he was ill at Putney. I had ridden in taxi cab number 1729 and remarked that the number seemed to me rather a dull one, and that I hoped it was not an unfavorable omen".
“No”- #Ramanujan replied- "it is a very interesting number;
#maths
4/
" it is the smallest number expressible as the sum of two cubes in two different ways.” — G.H. Hardy (1918)
Image: #Ramanujan’s manuscript, Trinity College library. The 2 representations of 1729, as the sum of 2 cubes, appear in the bottom right corner.
#History
#maths
" it is the smallest number expressible as the sum of two cubes in two different ways.” — G.H. Hardy (1918)
Image: #Ramanujan’s manuscript, Trinity College library. The 2 representations of 1729, as the sum of 2 cubes, appear in the bottom right corner.
#History
#maths
5/
So far, six #taxicab #numbers are known.
They are those represented in the image.
(Tap on the image)
#iteachmath
#mtbos
#mtmschat
So far, six #taxicab #numbers are known.
They are those represented in the image.
(Tap on the image)
#iteachmath
#mtbos
#mtmschat
