What is Ramanujan magic 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 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.

What is magic square of Ramanujan?

In recreational mathematics, a magic square of order n is an arrangement of n² numbers, usually distinct integers, in a square, such that the n numbers in all rows, all columns, and both diagonals sum to the same constant. A normal magic square contains the integers from 1 to n².

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 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.

Hardy Ramanujan Number | Discovery of this number - 1729

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).

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.

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.

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's the smallest number?

The smallest natural number is 1. Every natural number is a whole number. Every whole number is a natural number, except 0.

Which digit is divided by 11?

Consider the following numbers which are divisible by 11, using the test of divisibility by 11: (i) 154, (ii) 814, (iii) 957, (iv) 1023, (v) 1122, (vi) 1749, (vii) 53856, (viii) 592845, (ix) 5048593, (x) 98521258. -1 is divisible by 11.

Why is Ramanujan great?

An intuitive mathematical genius, Ramanujan's discoveries have influenced several areas of mathematics, but he is probably most famous for his contributions to number theory and infinite series, among them fascinating formulas ( pdf ) that can be used to calculate digits of pi in unusual ways.

What did Ramanujan discovered?

He worked out the Riemann series, the elliptic integrals, hypergeometric series, the functional equations of the zeta function, and his own theory of divergent series, in which he found a value for the sum of such series using a technique he invented that came to be called Ramanujan summation.

How was Ramanujan brilliant?

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.

What is the 1089 Trick?

Write down a three-digit number whose digits are decreasing. Then reverse the digits to create a new number, and subtract this number from the original number. With the resulting number, add it to the reverse of itself. The number you will get is 1089!

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 mystery number?

A mystery number is a number that can be expressed as the sum of two numbers and those two numbers should be the reverse of each other. Examples: Input : n = 121. Output : 29 92.

Who invented 0?

"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 gave 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 pi?

The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world.

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 king of maths in India?

Srinivasa Ramanujan is known as the king of maths in India due to his contribution by working on the Analytical Theory of Numbers, Elliptical Function, and Infinite Series.

What can divide 111?

The number 111 is divisible by 1, 3, 37, 111.

How do you find the remainder of a large number?

Remainder is a number that is left over when one number, say N, is divided by another number, say D. i.e If the number N is divided by another number D, it gives Quotient Q and Remainder R. We represent this as N = Q x D + R. Where Q and R are the Quotient and Remainder respectively.