# Mysterious and Amazing Numbers in Mathematics

Share

1. Some Popular Interesting ,Mysterious and Amazing Numbers in Mathematics

## 1.Ramanujan No. : 1729

Almost everyone knows about this number. This is the smallest number. Which can be expressed in 2 different ways as the sum of 2 different cubes.

1729 = 10^3 + 9^3 =12^3 + 1^3

Interesting story behind the number 1729

Professor GH Hardy once visited Ramanujan when he was hospitalized after several ailments.

Hardy pointed out at random that he had come in a taxi that had the number 1729 on it which seemed too dull and ordinary to him.

Upon hearing this, Ramanujan immediately indicated without any second thought that 1729 was indeed a special number.

He observed that 1729 is the smallest number that can be represented as the sum of two cubes in two different ways.

1729 =10^3 + 9^3 = 12^3 +1^3

This story is very famous among mathematicians. 1729 is called the Ramanujan-Hardy number”.

Related  easy example of convergent series | convergent series example | best example of convergent series | convergent series examples list

## 2.Kaprekar’s Constant. : 6174

6174 is known as Kaprekar’s constant after the Indian mathematician D. R. Kaprekar

This number can be obtained by this rule:

1. Take any four-digit number, using at least two distinct digits (leading zeros are allowed).
2. Arrange the digits in descending order and then in ascending order, adding leading zeros, if necessary, to get two four-digit numbers.
3. Subtract the smaller number from the larger number.
4. Go back to step 2 and repeat.

This rule will always reach its fixed point, 6174, in at most 7 iterations. For example, let’s take the number 1008

8100 – 0018 = 8082

8820 – 0288 = 8532

8532 – 2358 = 6174

7641 – 1467 = 6174

## 3. π

is a mathematical constant that is the ratio of the circumference of a circle to its diameter, approximately equal to 3.14159. The number appears in many formulas in mathematics and physics. π is  irrational number

Related  prove that pi/8 =1/1.3 + 1/5.7 + 1/9.11 … Or show that pi/8 =1/1.3 + 1/5.7 + 1/9.11 π/8= 1/1.3 + 1/5.7 + 1/9.11 pi series infinite series for pi | The sum of the series pi/8 =1/1.3 + 1/5.7 + 1/9.11 to ∞ is

It is a transcendental number, which means that it cannot be a solution to an equation consisting only of powers, products, sums and integers.

It is impossible to draw a square equal to the area of a circle with a compass and straightedge because π is transcendental

## 4. The Pingala sequence Or Matra Meru

Matra Meru sequence, in which each number is the sum of the two preceding numbers. The sequence usually begins with 0 and 1. Starting with 0 and 1, the next few values in the sequence are:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, …

Matra Meru Spiral

When we make squares with those widths, we get a nice spiral:

This spiral is found in nature!

If we take any two successive numbers in the sequence, their ratio gets closer to 1.618 What we call the golden ratio:

Related  Give an example of a series that is conditionally convergent (that is, convergent but not absolutely convergent). solved problems in calculus Absolute and Conditional Convergence

3 / 2 = 1.5

13 / 8 = 1.666

55 / 34 = 1.61764

233 / 144 = 1.61805

317,811 / 196,418 = 1.61803

watch this video

Video 1

Fibonacci Number – Is it a Hindu number used in Ancient India? Secret of Life | Praveen Mohan |

Video 2

Golden Ratio? ‘Mrityunjaya’ – The Key To Life | Ancient Indian Secret of Vedas | Praveen Mohan

## 5.1089

Take a 3-digit number made up of different elements (For Example  108).

Subtract the smallest possible number from the chosen 3 digits from the largest possible number to be formed. In our case, it is 810–018 = 792.

Take the answer and reverse it. Now, we have 297.

Lastly, add the inverse number 297 to the result 792 which will always give us 1089.

## 6.108 – The Secret of Life- By  Praveen Mohan

108 – PART II . Ancient Design Revealed?- By  Praveen Mohan

Keywords