more about prime number

One of the most important and beautiful fields of mathematics is number theory - the study of numbers and their properties. Despite the fact that mathematicians have been studying numbers for as long as humans have been able to count, the field of number theory is far from being outdated; some of the most exciting and important problems in mathematics today have to do with the study of numbers. In particular, prime numbers are of great interest.
Definition: A number p is prime if it is a positive integer greater than 1 and is divisible by no other positive integers other than 1 and itself.

Positive integers greater than 1 that aren't prime are called composite integers.

Examples: 2,3, and 5 are prime. 6 is composite. All positive integers n have at least one prime divisor: if n is prime, then it is its own prime divisor. If n is composite, and one factors it completely, one will have reduced n to prime factors.

Examples: 6=3*2,

18=3*3*2,

48=6*8=2*3*2*2*2

The following theorem was proved eloquently by Euclid.

Theorem: There are infinitely many prime numbers.

Maths coordinator