Monday, February 8, 2016

Matheamatically 79

Seventy Nine (79)

1. It is an odd prime number.

2. It is the sum of three consecutive prime. More interestingly, its reverse 97 is the sum of the reversible prime.
79 = 11 + 31 + 37
97 = 11 + 13 + 73

3. It is a Gaussian prime that can be written in the form of 4n + 3.
79 = 4 x 19 + 3

4. It can be written as the sum of their digits added to the product of their digits.
79 = (7 + 9) + (7 x 9)
In fact, all primes ending with 9 can be expressed as the sum of their digits added to the product of their digits.

5. It is a Pillai prime because 23! + 1 is divisible by 79, but 79 is not one more than a multiple of 23.

6. The atomic number of Gold is 79.

7. It is the maximal number of regions into which 12 lines divide a plane.

8. It is a 13-gonal as well as 26-gonal number.

9. It is a Kynea number. A Kynea number is an integer written in the form of .
The Kenya numbers are 7, 23, 79, 287, 1087...

10. It is a sexy prime number. Sexy primes are prime numbers that differ by 6.
The first 5 sexy prime pairs are – (5, 11), (7, 13), (11, 17), (13, 19), (17, 23) ---

There are infinite many sexy prime triplets and quadruplets numbers. The sexy prime triplets are three prime numbers that differ by 6 and the same happens with the quadruplets. (7, 13, 19), (17, 23, 29), (31, 37, 43) are the examples of sexy prime triplets whereas (5, 11, 17, 23), (11, 17, 23, 29)... are the example of sexy prime quadruplets.


Dr Rajesh Kumar Thakur
rkthakur1974@gmail.com

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