1729 taxicab number - EAS
- 1729 (number) 1729 is the natural number following 1728 and preceding 1730. It is a taxicab number, and is variously known as Ramanujan's number and the Ramanujan-Hardy number, after an anecdote of the British mathematician G. H. Hardy when he visited Indian mathematician
Srinivasa RamanujanIndian mathematics
Indian mathematics emerged in the Indian subcontinent from 1200 BCE until the end of the 18th century. In the classical period of Indian mathematics (400 CE to 1600 CE), important contributions were made by scholars like Aryabhata, Brahmagupta, Mahāvīra, Bhaskara II, Madhava of Sangamagrama and Nilakantha Somayaji. The decimal number system in use today was first recorded in Indian mathematics.
in hospital.Srinivasa Ramanujan
Srinivasa Ramanujan FRS was an Indian mathematician who lived during the British Rule in India. Though he had almost no formal training in pure mathematics, he made substantial contributions to mathematical analysis, number theory, infinite series, and continued fractions, in…
Cardinal: one thousand seven hundred twenty-nineDivisors: 1, 7, 13, 19, 91, 133, 247, 1729Factorization: 7 × 13 × 19Ordinal: 1729th, (one thousand seven hundred twenty-ninth)en.wikipedia.org/wiki/1729_(number) - People also ask
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See all on Wikipediahttps://en.wikipedia.org/wiki/1729_(number)Investigating pairs of distinct integer-valued quadratic forms that represent every integer the same number of times, Schiemann found that such quadratic forms must be in four or more variables, and the least possible discriminant of a four-variable pair is 1729. 1729 is the lowest number which can be represented … See more
1729 is the natural number following 1728 and preceding 1730. It is a taxicab number, and is variously known as Ramanujan's number and the Ramanujan-Hardy number, after an anecdote of the British mathematician See more
• Weisstein, Eric W. "Hardy–Ramanujan Number". MathWorld.
• Grime, James; Bowley, Roger. "1729: Taxi Cab Number or Hardy-Ramanujan Number". Numberphile. Brady Haran. Archived from the original on 2017-03-06. Retrieved 2013-04-02. See more1729 is also the third Carmichael number, the first Chernick–Carmichael number (sequence A033502 in the OEIS), and the first absolute See more
• A Disappearing Number, a March 2007 play about Ramanujan in England during World War I.
• Interesting number paradox
• 4104, the second positive integer which can be expressed as the sum of two positive cubes in two different ways. See moreWikipedia text under CC-BY-SA license- https://en.wikipedia.org/wiki/Taxicab_number
In mathematics, the nth taxicab number, typically denoted Ta(n) or Taxicab(n), also called the nth Hardy–Ramanujan number, is defined as the smallest integer that can be expressed as a sum of two positive integer cubes in n distinct ways. The most famous taxicab number is 1729 = Ta(2) = 1 + 12 = 9 + 10 .
The name is derived from a conversation in about 1919 involving mathematicians G. …Wikipedia · Text under CC-BY-SA license- Estimated Reading Time: 4 mins
- https://medium.com/life-torch/the-taxicab-numbers-1729-3862154cf4a1
WebDec 22, 2021 · Ramanujan continued, 1729 is the number that is the sum of cubes of two different pairs of numbers: The two different ways are 12³ + 1³ and 10³ + 9³.
- https://www.bbc.co.uk/programmes/p00cxs94
WebSep 20, 2005 · Ramanujan exclaimed. '1729 is the smallest number you can write as the sum of two cubes, in two different ways.' Most of us would use a computer to figure out …
- https://www.youtube.com/watch?v=LzjaDKVC4iY
WebFeb 28, 2012 · The number 1729 is "famous" among mathematicians. Why? More links & stuff in full description below ↓↓↓ Featuring Dr James Grime and Professor Roger Bowley. …
- https://dpspatnaeast.com/taxicab-number-1729
WebHe went on to describe these two ways as below: 1x1x1 = 1 12 x12x12= 1728 1t + 12t = 1 + 1728 = 1729 9 x 9 x 9 = 729 10 x10 x 10 = 1000 9t + 10t = 729 + 1000 = 1729 1729 is the …
1729: The Magic Of Hardy-Ramanujan Number - NDTV.com
https://www.ndtv.com/education/national...WebDec 22, 2019 · Ramanujan said that it was not. 1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two …
- https://theinfosphere.org/1729_(number)
Web1729 = 1 3 + 12 3 = 9 3 + 10 3. that are the smallest number that can be expressed as the sum of two cubes in n distinct ways have been dubbed taxicab numbers. 1729 is the …
- https://mathworld.wolfram.com/TaxicabNumber.html
WebThe nth taxicab number Ta(n) is the smallest number representable in n ways as a sum of positive cubes. The numbers derive their name from the Hardy-Ramanujan number Ta(2) …
Ramanujan's 1729 taxi number lends new discovery in …
https://www.zmescience.com/science/news-science/...WebJun 20, 2020 · In the case of 1729, the number can be written as 1 cubed + 12 cubed and 9 cubed + 10 cubed. There’s no smaller integer that can be written as the sum of two cubes. The incident launched the...
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