Wednesday, January 13, 2016

importance of 29

Twenty Nine (29)

1. It is the tenth prime number.

2. There are 29 days in the month of February in a leap year.

3. It is the smallest prime of the form 7n + 1, where n is any integer.
7 x 1 + 1 = 8 is not a prime
7 x 2 + 1 = 15 is not a prime
7 x 3 + 1 = 22 is not a prime
7 x 4 + 1 = 29 is a prime.

4. It is the sum of square of three consecutive numbers.
29 = 2^2 + 3^2 + 4^2

5. Probability of being born on 29th February is 1/ 1461

6. Seven straight cut through a pizza can divide it into as many as 29 pieces.

7. It is the seventh Lucas number. The series in Lucas number goes like- 1, 3, 4, 7, 11, 18, 29, 47, ---. Like Fibonacci series the next number in Lucas series also is the sum of previous two.

8. Twenty Nine is the only number written with as many strokes as the numerical value.


2 + 4 + 4 + 3 + 2 + 3 + 3 + 1 + 3 + 4

9. It is the third number following 1 and 5 for which 2n^2 – 1 is a square.
2 x 29^2 – 1 = 41^2

10. Saturn requires 29 years to orbit the Sun.

11. The atomic number of Copper is 29.

12. It is a Markov number. A Markov number is a positive integer x, y or z that is part of a solution to the Markov Diophantine equation x^2 + y^2 + z^2 = 3xyz. This equation was studied by Andrey Markov.
29 appears in the solution of the above equation in following manners.
{2, 5, 29 }, {2, 29, 169}, {5, 29, 433} etc.

13.The 29th day of the year; 229 = 536870912 a nine-digit number with no digit repeated. 

Dr Rajesh Kumar Thakur
rkthakur1974@gmail.com

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