Why is 1729 a magic number?

It is 1729. Discovered by mathemagician Srinivas Ramanujan

Srinivas Ramanujan

A deeply religious Hindu, Ramanujan credited his substantial mathematical capacities to divinity, and said the mathematical knowledge he displayed was revealed to him by his family goddess Namagiri Thayar.

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Srinivasa Ramanujan - Wikipedia

, 1729 is said to be the magic number because it is the sole number which can be expressed as the sum of the cubes of two different sets of numbers. Ramanujan’s conclusions are summed up as under: 1) 10 3 + 9 3 = 1729 and 2) 12 3 + 1 3 = 1729.

Why is 1729 a special 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.

Why is 1729 a 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) = 1³ + 12³ = 9³ + 10³.

Why is 6174 a magic number?

6174 is known as Kaprekar's constant after the Indian mathematician D. R. Kaprekar. This number is renowned for the following rule: Take any four-digit number, using at least two different digits (leading zeros are allowed).

What is Ramanujan magic square?

This is Ramanujan's magic square: the sum of any column is 139 The sum of any row is 139 The sum of diagonal elements is 139. The sum of any 2x2 box is 139. The first row 22 12 18 87 is special because it Ramanujan's Birth date 22/12/1887.

Hardy Ramanujan Number | Discovery of this number - 1729

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.

Where is Ramanujan Math park in India?

The Ramanujan Math Park is an Indian museum and activity center dedicated to mathematics education inside the Agastya Campus Creativity Lab located in Kuppam, in Chittoor, Andhra Pradesh.

Is 20683 a Hardy-Ramanujan number?

Ramanujan 2-way solutions

A018850 Numbers that are the sum of 2 cubes in more than 1 way (primitive solutions). {1729, 4104, 20683, 39312, 40033, 64232, 65728, 134379, 149389, 171288, 195841, 216027, 327763, 402597, 439101, 443889, 515375, 684019, 704977, 805688, 842751, 920673, 955016, ...}

What is Ramanujan paradox?

For those of you who are unfamiliar with this series, which has come to be known as the Ramanujan Summation after a famous Indian mathematician named Srinivasa Ramanujan, it states that if you add all the natural numbers, that is 1, 2, 3, 4, and so on, all the way to infinity, you will find that it is equal to -1/12.

Why is 28 the perfect number?

A number is perfect if all of its factors, including 1 but excluding itself, perfectly add up to the number you began with. 6, for example, is perfect, because its factors — 3, 2, and 1 — all sum up to 6. 28 is perfect too: 14, 7, 4, 2, and 1 add up to 28.

Why is 2520 a special number?

2520 is: the smallest number divisible by all integers from 1 to 10, i.e., it is their least common multiple. half of 7! (5040), meaning 7 factorial, or 1×2×3×4×5×6×7.

Why is 1729 4104 called Hardy Ramanujan?

It is the second positive integer which can be expressed as the sum of two positive cubes in two different ways. The first such number, 1729, is called the "Ramanujan–Hardy number". 4104 is the sum of 4096 + 8 (that is, 16³ + 2³), and also the sum of 3375 + 729 (that is, 15³ + 9³).

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.

How can I know my Ramanujan number?

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.

Who is called as father of geometry?

Euclid, The Father of Geometry | Gurdon S.

Which movie is based on Srinivasa Ramanujan?

The story of the life and academic career of the pioneer Indian mathematician, Srinivasa Ramanujan, and his friendship with his mentor, Professor G.H.

How many years did Ramanujan live?

Srinivasa Ramanujan is remembered for his unique mathematical brilliance, which he had largely developed by himself. In 1920 he died at age 32, generally unknown to the world at large but recognized by mathematicians as a phenomenal genius, without peer since Leonhard Euler (1707–83) and Carl Jacobi (1804–51).

Who invented 1?

Hindu-Arabic numerals, set of 10 symbols—1, 2, 3, 4, 5, 6, 7, 8, 9, 0—that represent numbers in the decimal number system. They originated in India in the 6th or 7th century and were introduced to Europe through the writings of Middle Eastern mathematicians, especially al-Khwarizmi and al-Kindi, about the 12th century.

Who created math?

Archimedes is known as the Father of Mathematics. Mathematics is one of the ancient sciences developed in time immemorial. A major topic of discussion regarding this particular field of science is about who is the father of mathematics.

Who invented infinity?

infinity, the concept of something that is unlimited, endless, without bound. The common symbol for infinity, ∞, was invented by the English mathematician John Wallis in 1655.

Who invented the 0 *?

It was al-Khowarizmi who first synthesized Indian arithmetic and showed how the zero could function in algebraic equations, and by the ninth century the zero had entered the Arabic numeral system in a form resembling the oval shape we use today.

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.

Who invented Ramanujan magic square?

Srinivasa Ramanujan was an Indian mathematician. He had almost no formal training in pure mathematics, but made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. When he was 12 years old, someone gave him a trigonometry book, and he taught himself.

How is Ramanujan number 13832?

Numbers like 1729, 4104, 13832, are known as Hardy – Ramanujan Numbers. They can be expressed as sum of two cubes in two different ways. 2. Numbers obtained when a number is multiplied by itself three times are known as cube numbers.