October 30th, 2007, 05:08 AM  #11  
Senior Member Joined: Dec 2006 Posts: 1,111 Thanks: 0  Quote:
 
October 30th, 2007, 06:19 AM  #12  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Quote:
Edit: I think this can be compared to the difference between pseudoprimality tests and primality proving. For a large number, a series of Frobenius pseudoprime tests might show that it was prime with 'probability' 1  10^500 in a few hours. A proof of the primality of the number would take decades. The pseudoprime tests discover the primes, while ECPP just gives a proof of what you already know. Experimental mathematics states as its goal to discover what is not known, to guide the way for later proofs. Of course when they can prove results they do, but that's not their purpose as such.  

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