**Number Theory** is a vast and fascinating field of **Mathematics**, sometimes called "**Higher Arithmetic**," consisting of the study of the properties of **Whole Numbers**. **Primes** and **Prime factorization** are especially important in **Number Theory**, as are a **Number** of **Functions** such as the **Divisor Function, Riemann Zeta Function** and Totient Function." Reference:mathworld.wolfram.com

The Whole study of **Number Theory** may be divided into several fields on the basis of applications and involved principles.

**Number theory **is a branch of **Mathematics** that is concerned with properties of **Numbers** and **Integers**. While studying **Number Theory** we learn to solve wider classes of problems associated with the advanced calculation techniques of **Numbers**. The Whole study of **Number Theory** may be divided into several fields on the basis of applications and involved principles.

Each of the above unit contains various subunits that change as per the grades. As **Number theory** involves many theories so it becomes must to have a clear concept of previously taught topics. Many **Students** don't know the formation, application methods and benefits of applying particular method. Because, in conventional **Class Room** teaching pattern it is not possible to pay 1: 1 attention to every one. That's why to many **Students** learning **Number theory** seems like a bad night dream, while it is not so.

- Elementary number theory
- Analytic number theory
- Geometry of numbers
- Combinatorial number theory
- Modular forms
- Algebraic number theory
- Arithmetic dynamics

Keywords: Algebra homework help, math homework help, Integers, Prime, Prime Number, Whole number, Induction, Public-key Cryptography, RSA Cryptosystem, Elliptic Curve Cryptography. Integer Programming, Jacobi, Algebraic Number Theory, Sequence,Series, Primality Test

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