Numbermagic

Prime Number, are one of the most complex pattern known to Mathematicians. That is because, Mathematicians have not yet figured out a pattern to them, but deep down...we know it is there. Natural Numbers can be divided into 3 categories - One, Composite Numbers, and Prime Numbers. If you want to understand this Blog, the definition of these 3 categories should be known. Composite Numbers  - Divisible by at least one natural number other than 1 and the number itself. (More than two factors) Prime Numbers  - Divisible by only 1 and the number itself. (Exactly two factors) 1  - 1 is a special number because it has only one factor, 1, i.e. the number itself. Now, back to Prime Numbers. One fact about Prime Numbers that most people know is that they are never ending, and there is quite an elegant proof to show that. Assume That all the Prime Numbers are contained in the Set P =   { }.  Now, according to the Fundamental Theorem of Arithmetics, any natural number ...

The Fibonacci Series is the most famous series of all time. It can be taught to kids, but Mathematicians are still unraveling the mysteries behind it.   0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89... The series starts from 0 and 1, and the new term is the sum of its 2 preceding terms. 0 + 1 = 1, 1 + 1 = 2, 1 + 2 = 3 and so on.... The general term can be written as : - F(n) = F(n - 1) + F(n - 2), where F(0) = 0 and F(1) = 1 Another amazin...