Here is a short presentation I did for one of my courses, Computational Complexity.

Useful Links :

http://www.akalin.cx/primality-testing-polynomial-time-part-1

http://terrytao.wordpress.com/2009/08/11/the-aks-primality-test/

http://maths-people.anu.edu.au/~brent/pd/primality4.pdf

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