Why is the number 1729 special?

It's the smallest number expressible as the sum of two cubes in two different ways." 1729 is the sum of the cubes of 10 and 9. Cube of 10 is 1000 and the cube of 9 is 729. Both the cubes, therefore, add up to 1729.

Why 1729 is a magic number?

Discovered by mathemagician Srinivas Ramanujan, 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 called Ramanujan 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 - a cube of 10 is 1000 and a cube of 9 is 729; adding the two numbers results in 1729.

Why did Ramanujan find the number 1729 very interesting?

The number 1729 seemed very interesting to Ramanujan because it is the smallest expressible number as the sum of two cubes in two several ways.

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.

1729 and Taxi Cabs - Numberphile

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 the meaning of 1729 in Instagram?

Singhania Quest+ on Instagram: “1729 is the natural number that comes after 1728 and before 1730. It is also known as Ramanujan's number or the Ramanujan-Hardy number…” singhaniaquestplus. 456 views.

Who invented zero in world?

"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.

Who is the father of maths?

Archimedes is known as the Father Of Mathematics. He lived between 287 BC – 212 BC. Syracuse, the Greek island of Sicily was his birthplace. Archimedes was serving the King Hiero II of Syracuse by solving mathematical problems and by developing interesting innovations for the king and his army.

Why number 9 is magic?

9 is called the magic number because the sum of the digits of the multiples of 9 is always 9.

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!

Why is 2520 a special number?

2520 is the smallest number that can exactly be divided by all integers (whole numbers) from 1 to 10, whether even or odd. It also happens to be divisible by 12, but not 11. The secret of the number 2520 is hidden in the multiplication of [7 × 30 × 12].

Is a Ramanujan number?

THE MYSTERY OF RAMANUJAN NUMBER

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.

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.

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 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 invented walking?

Homo erectus was the first to have the long legs and shorter arms that would have made it possible to walk, run and move about Earth's landscapes as we do today.

Who invented 0 for kids?

Zero was invented independently by the Babylonians, Mayans and Indians . Though ancient civilizations already knew the concept of 'nothing,' they did not have a symbol or letter for it.

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, ...}

How many Ramanujan numbers are there?

{1729, 4104, 13832, 20683, 32832, 39312, 40033, 46683, 64232, 65728, 110656, 110808, 134379, 149389, 165464, 171288, 195841, 216027, 216125, 262656, 314496, 320264, 327763, ...} Here all these numbers can be expressed as a sum of 2 cubes in 2 different ways .

What is the story behind the discovery of Hardy-Ramanujan number?

The Hardy-Ramanujan number stems from an anecdote wherein the British mathematician GH Hardy had gone to meet S Ramanujan in hospital. Hardy said that he came in a taxi having the number '1729', which the British mathematician described "as rather a dull one".

What is a sad number?

The numbers for which the process of summing up of the squares of its digits ends in 1 are happy numbers. On the other hand, numbers that don't end in 1 are called unhappy or sad numbers.

What is the most boring number?

There's an old math paradox that says that all natural numbers are interesting, since otherwise there would have to be a smallest uninteresting number, and that in itself is pretty interesting.