1729 number - EAS

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  1. Hardy-Ramanujan number
    • According to 4 sources
    1729 is known as the Hardy-Ramanujan number after a famous anecdote of the British mathematician G. H. Hardy regarding a hospital visit to the Indian mathematician Srinivasa Ramanujan. It has been used several times on Futurama. Contents
    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: A more obscure appearance of 1729 is as the average of the greatest member in each pair of (known) Brown numbers (5, 4), (11, 5), and (71, 7):
    1729 is known as the Hardy–Ramanujan number, or a taxicab number after a famous anecdote of the British mathematician G. H. Hardy regarding a hospital visit to the Indian mathematician Srinivasa Ramanujan. References throughout Futurama In Xmas Story, Bender gets a card stating he is his mother's 1729th son.
    1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 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. Why is 2 a taxicab number?
  2. People also ask
    What is the significance of 1729?
    1729 is the third Carmichael number, the first Euler pseudoprime, and a Zeisel number. It is a Centered cube number, as well as a Dodecagonal number, a 24-gonal and 84-gonal number.
    Is 1729 the smallest number in the world?
    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 different ways. 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.
    www.ndtv.com/education/national-mathematics-day-201…
    What is taxicab number 1729?
    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 second taxicab number (the first is 2 = 13 + 13). The number was also found in one of Ramanujan's notebooks dated years before the incident.
    What is the Hardy-Ramanujan number of 1729?
    1729 has since been known as the Hardy-Ramanujan Number, even though this feature of 1729 was known more than 300 years before Ramanujan. We can write the number 1729 using each of the digits 0 to 9 individually. The mathematical operations involved here are addition, subtraction, multiplication, division, exponentiation, factorial etc.
    math1089.in/2022/05/04/1729-the-hardy-ramanujan-num…
  3. See more
    See all on Wikipedia
    https://en.wikipedia.org › wiki › 1729_(number)

    1729 is the lowest number which can be represented by a Loeschian quadratic form in four different ways with a and b positive integers. The integer pairs ( a, b) are (25,23), (32,15), (37,8) and (40,3). 1729 is the dimension of the Fourier transform on which the fastest known algorithm for multiplying

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    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

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    1729 is also the third Carmichael number, the first Chernick–Carmichael number (sequence A033502 in the OEIS), and the first absolute

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    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

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  4. 1729 (number) - The Infosphere, the Futurama Wiki

    https://theinfosphere.org › 1729_(number)
    • Appearances
      1. "Love's Labours Lost in Space" (1ACV04) : The Nimbus' hull registry number is BP-1729. 2. "Xmas Story" (2ACV04) : Bender received a card identifying him as "Son #1729". Ken Keeler, who has a PhD in applied mathematics, says in the commentaries to the episode that "that 'joke' alon…
    See more on theinfosphere.org
  5. 1729 – The Hardy Ramanujan Number – Math1089

    https://math1089.in › 2022 › 05 › 04 › 1729-the-hardy-ramanujan-number
    • 1729 is the lowest number which can be represented by a Loeschian quadratic form x2 + xy + y2 in four different ways with x and y positive integers. The integer pairs (x, y) are (25, 23), (32, 15), (37, 8) and (40, 3).
    See more on math1089.in
  6. https://futurama.fandom.com › wiki › 1729_(number)

    1729 is known as the Hardy–Ramanujan number, or a taxicab number after a famous anecdote of the British mathematician G. H. Hardy regarding a hospital visit to the Indian

  7. https://www.ndtv.com › education › national...

    Dec 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 different

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    • Why 1729 is a famous number? – Ventolaphotography.com

      https://ventolaphotography.com › why-1729-is-a-famous-number

      1729, the Hardy-Ramanujan Number, is the smallest number which can be expressed as the sum of two different cubes in two different ways. 1729 is the sum of the cubes of 10 and 9 – cube …

    • https://number.subwiki.org › wiki › 1729

      1729 : the original number is a square-free number. Mobius function-1 : the number is square-free and has an odd number of prime divisors (namely, 3 prime divisors).

    • Angel Number 1729: Meaning and Symbolism – Mind Your Body …

      https://www.mindyourbodysoul.com › angel-number-1729...

      Mar 15, 2022 · Angel number 1729 is a number that contains numbers 1, 7, 2, and 9. These numbers interpret with different meanings and give a specific idea about our life, goals, and …

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