TITLE:
The Distribution of Prime Numbers and Finding the Factor of Composite Numbers without Searching
AUTHORS:
Dagnachew Jenber
KEYWORDS:
The nth Sequence of an Arithmetic Sequence, Number of Elements of the Set, Sequence Functions
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.5 No.6,
May
8,
2015
ABSTRACT: In this paper, there are 5 sections of tables represented by 5 linear
sequence functions. There are two one-variable sequence functions that they are
able to represent all prime numbers. The first one helps the last one to
produce another three two-variable linear sequence functions. With the help of
these three two-variable sequence functions, the last one, one-variable
sequence function, is able to set apart all prime numbers from composite
numbers. The formula shows that there are infinitely many prime numbers by
applying limit to infinity. The three two-variable sequence functions help us
to find the factor of all composite numbers.