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Number theory or arithmetic (or arithmetic is old name) is a branch of pure mathematics in which we study integers and its properties.

Number theory is also called "The Queen of Mathematics". Primes and prime factorization are especially important concepts in number theory.

**Algebraic Number Theory **

Algebraic number theory is a branch of number theory that uses the techniques of abstract algebra to study the integers, rational numbers, and their generalizations.

**Number Theory Application **

Elementary number theory is taught in discrete mathematics courses for computer scientists; on the other hand, number theory also has applications to the continuous in numerical analysis.

Number theory is use in development of computers and the security of internet communications, the importance of number theory has been exponentially increasing daily. It use behind almost all of modern cryptography, It stop to hack (steal) moeny form bank accounts, all our nation secrets from being seen by our enemies. Number theory can be used to generate pseudo-random numbers, that pass many of the tests that truly random numbers pass. Random numbers are used in simulations, games, etc.

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