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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