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PUMAC 2008-2009 Number Theory A problems

Revision as of 23:18, 4 February 2009 by Lss1609 (talk | contribs) (New page: 1. (2 points) How many zeros are there at the end of 792! when written in base 10? 2. (3 points) Find all integral solutions to <math>x^y-y^x=1</math>. 3. Find the largest integer <math>...)
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1. (2 points) How many zeros are there at the end of 792! when written in base 10?

2. (3 points) Find all integral solutions to $x^y-y^x=1$.

3. Find the largest integer $n$, where $2009^n$ divides $2008^(2009^(2010))+2010^(2009^(2008))$.

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