Take a look at:
Prime Numbers. Also,
Wolfram|Alpha can give you a very nice presentation about prime numbers. For example just type
13-th prime number in Wolfram|Alpha and this is what you get - read through - so much information! You can do other primes in similar manner. Wolfram|Alpha uses Mathematica to compute everything. But if you want to get it directly in Mathematica just
click equal sign twice at the begining of a new line in Mathematica and type the same thing after orange icon appears.
