Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Replies: 15   Last Post: Dec 14, 2012 6:05 AM

 Messages: [ Previous | Next ]
 William Elliot Posts: 2,515 Registered: 1/8/12
Posted: Dec 2, 2012 10:47 PM

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)

1800
180
30

Date Subject Author
12/1/12 Dmitry Yu. Mitin
12/1/12 William Elliot
12/1/12 Bart Goddard
12/1/12 William Elliot
12/2/12 William Elliot
12/3/12 Bart Goddard
12/4/12 Dr J R Stockton
12/4/12 William Elliot
12/5/12 Butch Malahide
12/6/12 Dr J R Stockton
12/8/12 Dr J R Stockton
12/8/12 Richard Tobin
12/9/12 Wasell
12/13/12 Dr J R Stockton
12/14/12 Pubkeybreaker
12/5/12 Phil Carmody