Sunday, January 17, 2016

Mathematically 43

Forty Three (43)
1. It is a Prime number.

2. It forms a twin prime along 41. There are infinite twin primes.

The list of first ten twin primes are---
(3,5), (5,7), (11,13), (17.19), (29.31), (41,43) , (59,61), (71,73), (101,103), (107,109)

3. It is the smallest non palindromic prime which on subtracting its reverse gives a perfect square.
43 – 34 = 9 = 32

4. It is the smallest number which can be expressed as the sum of primes in different ways.
43 = 2 +41
= 3+17+ 23
=11 +13 +19
=2 + 5+ 7 +29
= 2 +11 +13 +17

5. It can be partitioned into 53174 ways.

6. It is the smallest prime that can grows 5 times by the right.
43 is prime
439 is prime
4391 is prime
43913 is prime
439133 is prime

7. It is the smallest prime which is not a Chen prime. A prime p is called Chen prime if p+2 is either a prime or a product of two primes. It is named after Chen Jingrun. The first few Chen Primes are- 2,3, 5,7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47—

8. It is the fourth term of Sylvester’s sequence.
43 = 2 x 3 x 7 + 1

9. The atomic number of Technetium is 43.

10. It is a centered Heptagonal number. A centered heptagonal number is a centered figurative number that represents a heptagon with a dot in the center and other dots surrounding the center dot in successive heptagonal layers. The formula for n centered heptagonal number is given by-


11. It is a centered 14 - gonal number.

12. It can be partioned in 53174 ways.


Dr Rajesh Kumar Thakur
rkthakur1974@gmail.com

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