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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: No Putnam spoilers please
Replies: 15   Last Post: Dec 14, 2012 6:05 AM

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William Elliot

Posts: 603
Registered: 1/8/12
Re: No Putnam spoilers please
Posted: Dec 2, 2012 10:47 PM
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On Sat, 1 Dec 2012, William Elliot wrote:
> On Sat, 2 Dec 2012, Bart Goddard wrote:
> > William Elliot <marsh@panix.com> wrote in
> >
> > > How do we know if a question is a Putnam question?
> >
> > It'll have the number 2012 in it somewhere.
>
> "What's 5^2012 mod 7?" is a Putnam question? ;-}
>
What the heck, just to add some math, I'll solve it,
Putnam question or not.

phi(7) = 6; 5^2012 = 5^(6 * 335 + 2) = 5^2 = 25 = 4 (mod 7)

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