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2009 Putnam Competition!





Afaceinthematrix
Did anyone participate in the 2009 Putnam Competition yesterday? I thought that the test was slightly easier than last years exam. One problem on the exam that I thought was particularly interesting was problem 1B:

Prove that every positive rational number can be written as a quotient of factorials of primes.

That problem took me about half an hour or so to figure out. I ended up coming up with an elegant proof by contradiction showing that if it cannot be written as that way, then it will end up contradicting both the definition of a rational number and the Fundamental Theorem of Arithmetic.

Did anyone else participate in the competition yesterday? I can't wait to see the results... Too bad we have to wait until the end of March to find out how we did...
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