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my execution times are good.
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build in the timing function, store the system time before start in one var... you know the drill, then you'd have exact time of execution of your function, then run TM's program, compare the results on the same system, then you'd have the necessary data to back up your point

In any case his algorithm is not that great either take some 50-60 digit long number and it will take him years to get the results, if you are talking about factoring here is a few thoughts:
here's wikis on most commonly used factoring algorithms (I personally prefer gnfs although some curve factoring is needed in large numbers):
http://en.wikipedia.org/wiki/Categor...ion_algorithms
RSA's favorite algorithms:
http://www.rsasecurity.com/rsalabs/node.asp?id=2190
and little something in the quantum world and Shor's algorithms:
http://ece.gmu.edu/crypto/student_projects/physics.htm
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