What is number theory?

[thharrimw]

what exactly is number theory i have heard of it but i don't know what it is

 

[Jamil (2nd)]

It is the study of numbers mainly (even only) about integers.

 

[thharrimw]

what it studyed about them and why only even numbers?

 

[CRGreathouse]

Not even numbers, just whole numbers. Jamil meant "mainly, or only, about integers", using "even" in the other sense.

 

[thharrimw]

ok but what about numbers dose number theory study.

 

[CRGreathouse]

Prime numbers, density of integer sequences, divisibility relations between numbers, sumsets, code design, compression, and many other things.

 

[Gib Z]

The properties of the natural numbers =]