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1729 (number) - Wikipedia
https://en.wikipedia.org/wiki/1729_(number)
Web1729 is a sphenic number. It is the third Carmichael number, and more specifically the first Chernick–Carmichael number (sequence A033502 in the OEIS). Furthermore, it is the first in the family of absolute Euler pseudoprimes, which are a subset of Carmichael numbers. 1729 is the third Zeisel number.
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What is so special about Ramanujan number '1729'? - India Today
https://www.indiatoday.in/science/story/who-was-srinivas-ramanujan-number-national-mathematics-day-2021-hardy-1890690-2021-12-22
WebDec 22, 2021 · 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.
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Taxicab number - Wikipedia
https://en.wikipedia.org/wiki/Taxicab_number
WebIn mathematics, the n th 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.
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1729: The Magic Of Hardy-Ramanujan Number - NDTV.com
https://www.ndtv.com/education/national-mathematics-day-2019-hardy-ramanujan-number-2152767
WebDec 22, 2019 · 1729 is the sum of the cubes of 10 and 9 - cube of 10 is 1000 and cube of 9 is 729; adding the two numbers results in 1729. 1729 is also the sum of the cubes of 12 and 1- cube of 12 is 1728...
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Hardy-Ramanujan Number -- from Wolfram MathWorld
https://mathworld.wolfram.com/Hardy-RamanujanNumber.html
WebApr 13, 2024 · Mathematics in Theater. Proof. More... 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 derives its name from the following story G. H. Hardy told about Ramanujan.
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1729 - Wikipedia
https://en.wikipedia.org/wiki/1729
WebAugust 1 – The Comet of 1729, possibly the largest comet based on the absolute magnitude, on record, is discovered by Fr. Nicolas Sarrabat, a professor of mathematics at Marseille. September 29 – The Battle of Damghan begins as the Persian Safavid Army, commanded by General Nader Khan Afshar confronts a larger force of rebel Afghan troops ...
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Ramanujan’s Astonishing Knowledge of 1729 – ThatsMaths
https://thatsmaths.com/2016/05/12/ramanujans-astonishing-knowledge-of-1729/
WebMay 12, 2016 · Ramanujan came upon the number 1729 during a search for integer “near-solutions” of the diophantine equation. Pierre Fermat had claimed in 1637 an extraordinary proof that the equation. has no non-trivial solutions in integers for any integer .
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Ramanujan’s Taxicab Number - American Mathematical Society
https://blogs.ams.org/mathgradblog/2013/08/15/ramanujans-taxicab-number/
WebAug 15, 2013 · 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 different ways is known as the taxicab number and is denoted as .
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Ramanujan's 1729 taxi number lends new discovery in mathematics
https://www.zmescience.com/science/news-science/taxi-number-ramanujan-03213/
WebOct 15, 2015 · Home Science News. How a ‘rather dull’ taxi number inspired Ramanujan to make a math discovery decades ahead of his time. by Tibi Puiu. October 15, 2015 - Updated on March 16, 2023. in...
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1729 -- from Wolfram MathWorld
https://mathworld.wolfram.com/1729.html
WebApr 29, 2007 · 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.
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