Why is 1729 called Ramanujan number? [Solved] (2022)

Why is 1729 called Ramanujan number?

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.... read more ›

(Video) Hardy Ramanujan Number | Discovery of this number - 1729
(lets derive)

Why is 1729 called the Ramanujan number?

It's the smallest number expressible as the sum of two cubes in two different ways." Because of this incident, 1729 is now known as the Ramanujan-Hardy number. To date, only six taxi-cab numbers have been discovered that share the properties of 1729.... read more ›

(Video) Why 1729 is a Special Number? | Hardy-Ramanujan Number Story | Magic Number | Cheenta
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Why 1729 is a special number Quora?

It is the smallest positive integer that can be expressed as the sum of two distinct sets of cubes: 1729 = 1728 + 1 = 12^3 + 1^3. 1729 = 1000 + 729 = 10^3 + 9^3.... see more ›

(Video) 1729 and Taxi Cabs - Numberphile
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Is 1729 a perfect cube?

1729 = 13 + 123 = 93 + 10. The quotation is sometimes expressed using the term "positive cubes", since allowing negative perfect cubes (the cube of a negative integer) gives the smallest solution as 91 (which is a divisor of 1729; 19 × 91 = 1729).
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1729 (number)
← 1728 1729 1730 →
Hexadecimal6C116
11 more rows

(Video) why is 1729 called Magic number?
(Online Maths Academy)

What is Ramanujan formula?

In mathematics, in the field of number theory, the Ramanujan–Nagell equation is an equation between a square number and a number that is seven less than a power of two. It is an example of an exponential Diophantine equation, an equation to be solved in integers where one of the variables appears as an exponent.... read more ›

(Video) #Ramanujan | A beautiful Number 1729 | Ramanujan Number
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Is 2520 discovered by Ramanujan?

[7 × 30 × 12 = 2520] This is the characteristic and dominance of time. These secrets about the number 2520 were discovered by the great Indian mathematician Sri Srinivasa Ramanujan. 2520 is the smallest number divisible by all integers from 1 to 10, i.e., it is their least common multiple.... see more ›

(Video) Ramanujan Number/ What is the specialty of Ramanujan's number 1729 ?
(METRIC MATHS)

How did Ramanujan found infinity?

Who knew an unlucky number for Hardy would be the rub of green Ramanujan needed. The man who knew infinity was called so because his love for mathematics had no boundaries. He gave the whole mathematics fraternity a new dimension and left behind useful conclusions which are being used as a base for new findings.... see details ›

(Video) What is Special about Ramanujan number 1729? | Saket Sharma
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What is special about Ramanujan?

Srinivasa Ramanujan was one of the world's greatest mathematicians. His life story, with its humble and sometimes difficult beginnings, is as interesting in its own right as his astonishing work was. Srinivasa Ramanujan had his interest in mathematics unlocked by a book.... read more ›

(Video) The Amazing HARDY-RAMANUJAN NUMBER 1729
(Suresh Aggarwal)

What is Ramanujan's magic square?

A magic square is an NxN matrix in which every row, column, and diagonal add up to the same number. Srinivasa Ramanujan was an Indian mathematician.... read more ›

(Video) 1729 Magic number | 1729 Srinivasa Ramanujan number | Maths Puzzle
(getset)

Who invented 0 in India?

"Zero and its operation are first defined by [Hindu astronomer and mathematician] Brahmagupta in 628," said Gobets. He developed a symbol for zero: a dot underneath numbers.... continue reading ›

(Video) Why 1729 a magic number?/Hardy Ramanujan number
(Alankar Misra)

How is Ramanujan number calculated?

Ramanujan Numbers are the numbers that can be expressed as sum of two cubes in two different ways. Therefore, Ramanujan Number (N) = a3 + b3 = c3 + d3. Explanation: The number 1729 can be expressed as 123 + 13 and 103 + 93.... continue reading ›

(Video) #1729 #ramanujan #number #taxicab #hardy #ramanujan_hardy #mathematics #facts
(Dr. Mathaholic)

Is 2520 discovered by Ramanujan?

[7 × 30 × 12 = 2520] This is the characteristic and dominance of time. These secrets about the number 2520 were discovered by the great Indian mathematician Sri Srinivasa Ramanujan. 2520 is the smallest number divisible by all integers from 1 to 10, i.e., it is their least common multiple.... see details ›

Why is 1729 called Ramanujan number? [Solved] (2022)

Why 1728 is a special number?

In mathematics

1728 is the cube of 12 and, as such, is important in the duodecimal number system, in which it is represented as "1000". It is the number of cubic inches in a cubic foot. 1728 occurs in the algebraic formula for the j-invariant of an elliptic curve.... view details ›

What is the most beautiful number?

What Is So Special About The Number 1.61803? The Golden Ratio (phi = φ) is often called The Most Beautiful Number In The Universe. The reason φ is so extraordinary is because it can be visualized almost everywhere, starting from geometry to the human body itself!... see more ›

What is Ramanujan's magic square?

A magic square is an NxN matrix in which every row, column, and diagonal add up to the same number. Srinivasa Ramanujan was an Indian mathematician.... view details ›

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