Number Theory: Branch of pure mathematics devoted primarily to the study of the integers

It explains what some types of numbers are, what properties they have, and ways that they can be useful.

Topics in number theory are:

• Prime numbers
• Factorization
• Matrix

Important theorems in number theory are:

• Chinese remainder theorem
• Fundamental theorem of arithmetic
• Fermat's last theorem
• Fermat's little theorem

A well-known application of number theory is encrypted messaging (encryption). Data compression also makes use of the field.

• G.H. Hardy; E.M. Wright (2008) [1938]. An introduction to the theory of numbers. Oxford University Press. ISBN 978-0-19-921986-5.
• Vinogradov, I.M. (2003) [1954]. Elements of Number Theory (reprint o 1954 ed.). Mineola, NY: Dover Publications.
• Ivan M. Niven; Herbert S. Zuckerman; Hugh L. Montgomery (2008) [1960]. An introduction to the theory of numbers (reprint of the 5th edition 1991 ed.). John Wiley & Sons. ISBN 978-81-265-1811-1.
• Kenneth H. Rosen (2010). Elementary Number Theory (6th ed.). Pearson Education. ISBN 978-0-321-71775-7.
• Borevich, A. I.; Shafarevich, Igor R. (1966). Number theory. Pure and Applied Mathematics. 20. Boston, MA: Academic Press. ISBN 978-0-12-117850-5. MR 0195803.
• Serre, Jean-Pierre (1996) [1973]. A course in arithmetic. Graduate texts in mathematics. 7. Springer. ISBN 978-0-387-90040-7.

•   Media related to Number theory at Wiki Commons
• Number Theory
• Number Theory Web

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