what is special about the number 1729 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 also known as the Ramanujan number or Hardy Ramanujan number named after G H Hardy and Srinivasa Ramanujan
Why 1729 is a special number His most popular discovery however remains the Hardy Ramanujan number to this date The Hardy Ramanujan number stems from an anecdote wherein the British The anecdote is a part of Ramanujan s biography The Man Who Knew Infinity by Robert Knaigel Mr Hardy quipped that he came in a taxi with the number 1729 which
what is special about the number 1729
what is special about the number 1729
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The Story Of The Hardy Ramanujan Number 1729 Mathematical Story
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Hardy Ramanujan Number Story Of Number 1729 YouTube
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In 1918 British mathematician G H Hardy caught a taxi to visit an ill Srinivasa Ramanujan in a hospital near London Hardy had ridden in taxi cab number 1729 and told Ramanujan about this Ramanujan disagreed and said that you were wrong Further he said 1729 is the smallest number that can be expressed by a summation of cubes of two positive numbers in two different ways
The page from the Lost Notebook resolves the question of how Ramanujan knew about the number 1729 But it raises a much greater question how did he come upon the three extraordinary rational functions that are The number 1729 holds a special place in the world of mathematics due to its association with the legendary Indian mathematician Srinivasa Ramanujan and his remarkable
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National Mathematics Day 2020 The Hardy Ramanujan Number 1729
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Fermat s Library On Twitter 1729 Was The Number Of The Cab That G H
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Hardy Ramanujan Number 1729 What Is Special About
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As Ramanujan pointed out 1729 is the smallest number to meet such conditions More formally and In honor of the Ramanujan Hardy conversation the smallest number expressible as the sum of two cubes in 1729 is sometimes called the Hardy Ramanujan number It is the smallest taxicab number i e the smallest number which can be expressed as the sum of two cubes in two different ways 1729 1 3 12 3 9 3 10 3
For today let s stick to one The number 1729 Yes it s the Hardy Ramanujan number When you read Srinivasa Ramanujan s biography The Man Who Knew Infinity by Robert Knaigel you will come across this 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
What Is A Hardy Ramanujan Number Quora
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Story Of 1729 II Why 1729 Is Called Hardy Ramanujan Number 1729 Is
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what is special about the number 1729 - The smallest nontrivial taxicab number i e the smallest number representable in two ways as a sum of two cubes It is given by 1729 1 3 12 3 9 3 10 3 The number