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 1729 is a special 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 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 1728 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.

Why did Ramanujan find the number 1729 Interesting?

Ramanujan found the number 1729 very interesting because it is the smallest number expressible as the sum of two cubes in two different ways.

why is 1729 called Magic number?

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.

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.

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 secret of Ramanujan number?

Ramanujan told Hardy that 'this is the smallest number that can be formed by adding cubes of two different numbers. That too in two different ways. Similarly, if we add 1729 together (1+7+2+9), then the result will be 19. Now if you divide 1729 by 19, that is, divide, the result will be 91.

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.

Is 2520 discovered by Ramanujan?

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.

Who did Ramanujan pray?

Ramanujan prayed to the goddess Namagiri by sitting in the center of a four pillared mandapam facing the goddess, in the Narasimha swamy Temple. It is said that they stayed in the precincts of the temple for three days, and Ramanujan got the permission of the goddess to go to England, in a dream when he was asleep.

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.

Who used zero first?

The first recorded zero appeared in Mesopotamia around 3 B.C. The Mayans invented it independently circa 4 A.D. It was later devised in India in the mid-fifth century, spread to Cambodia near the end of the seventh century, and into China and the Islamic countries at the end of the eighth.

Why is Ramanujan special?

Srinivasa Ramanujan was a person who really knew Infinity or knew more than infinity. He contributed theorems and independently compiled 3,900 results (mostly identities and equations). However, inquisitive minds and those dabbling in mathematical science would also know him for the Hardy-Ramanujan number.

What is Ramanujan Square?

Leave a Comment / Facts / By Anish. In modern basic recreational mathematics, a magic square of order n numbers, usually different integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same positive number.

Who invented maths?

The study of complex mathematics was not found until around 3000 BC. The use of arithmetic, algebra and geometry was made by Babylonians and Egyptians for building and construction, as well as for astronomy. At the beginning of the 6th Century BC, Greek mathematics was introduced by the ancient Greeks.

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.

What is the 1089 Trick?

The mystery is this: first, take any three digit number, where the first and last digits differ by two or more and reverse the number to produce a new one. Then subtract the smaller from the larger producing another new number. If you reverse this number and this time add the two, the result will always be 1089.

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 .

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.