Which is the 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.

Why 1729 Is 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?

Why 1729 is a special number? His most popular discovery, however, remains the Hardy-Ramanujan number to this date. The Hardy-Ramanujan number stems from an anecdote wherein the British mathematician GH Hardy had gone to meet S Ramanujan in hospital.

Is there any number like 1729?

{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 .

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).

Hardy Ramanujan Number | Discovery of this number - 1729

Who discovered 2520 number?

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.

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.

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.

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 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 1089 a magic number?

1089 is widely used in magic tricks because it can be "produced" from any two three-digit numbers. This allows it to be used as the basis for a Magician's Choice.

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.

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, ...}

Which is 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.

What is the total of 1 to 100?

∴ The sum of all natural number from 1 to 100 is 5050.

Which number is divided by 2?

All even numbers are divisible by 2. Therefore, a number is divisible by 2 if it has a 0, 2, 4, 6, or 8 in the ones place. For example, 54 and 2,870 are divisible by 2, but 2,221 is not divisible by 2.

Which is the greatest 2 digit prime number?

In mathematics

97 is: the 25th prime number (the largest two-digit prime number in base 10), following 89 and preceding 101.

What is the LCM of 1 to 10?

Answer: LCM of 1 to 10 is 2520.

Is 1458 a Ramanujan number?

Suppose, we want to check the number 1458 is a Ramanujan number or not. We get the same number that we have taken. Hence, the given number is a Ramanujan or taxicab number.

Is 13832 a Ramanujan number?

1. 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.

Is 27 a cube number?

Another example of a cube number is 27 because it's 3³ (3 x 3 x 3, or “three cubed”). A cube number can also be called a number cubed.