Importance of Number 2

                                        Important Characteristics of Number 2

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1.      Two is the only number x such that the sum of the reciprocals of the powers of x equal to itself.              1 + ½ + ¼ + ¹/₈ + --- = 2

2.      Square root of 2, i.e √2 is the first known irrational number discovered by Pythagoras.

3.      Two (2) is the only even prime number.

4.      There are no integers x, y, z for which xⁿ + yⁿ = zⁿ  is valid if n > 2. This is known as Fermat’s last Theorem. This theorem was proposed by Piere de Fermat in the year 1670 and it remained a mystery for the mathematicians for over 350 years until it was proved in year 1995 by Andrew Wiles. In case n = 2, the equation turns out to be a Pythagoras Theorem.

5.      N² ± N is divisible by 2 where N is a natural number.

6.      H, I, O and X have two lines of symmetry.                                                                                                                                                                                                                                                          7.      The common symmetry found in nature is bilateral. A single axis has two sides one goes in positive direction and another goes in negative direction. Our bodies are bilaterally symmetrical and we naturally distinguish the thing in two ways , e.g Right and Left, Up and Down etc.

8.      A number is divisible by 2 if it ends with 0, 2, 4, 6 and 8.                                 

         Example: 248, 98634, 666, 900 are divisible by 2 but 41, 333, 79 are not divisible by 2.

9.      2 can be partitioned in two ways.

10.  A binary code is written to base 2 and has just 2 digits 0 and 1. In binary system the odd number ends with 1 and even number ends with 0. This system was first used by Leibniz in 1679 though it is referred to in a Chinese book which supposedly dates from about 3000BC. Leibniz associated 0 with nothingness and 1 with odd.  In binary number system 14 is written as 1110 and is represented as (14)_{10 =} (1110)_2.

11.  For any polyhedron, the Euler’s formula is V – E + F = 2, where V , E and F represent Vertices, Edges and Faces respectively.

12.  Atomic number of Helium is 2.

13.  Two has a unique property such that 2 + 2 = 2 x 2.

14.  Chess, Squash and Sumo wrestling are all games played by two competitors.

15.  A figure having length and breadth but no depth is called a 2- dimensional object.

16. There are 20 digits in the expansion of 2⁶⁴ but surprisingly the base 2 is disappeared.                2⁶⁴ = 1,84,46,74,40,73,70,95,51,616
17. All known Perfect Numbers are Even.
18. Goldbach conjecture says that every even number greater than 2 is the sum of two prime numbers. Example : 8 = 3 + 5