```Date: Dec 3, 2012 9:09 AM
Author: Bart Goddard
Subject: Re: No Putnam spoilers please

William Elliot <marsh@panix.com> wrote in news:Pine.NEB.4.64.1212021939320.2621@panix2.panix.com:> 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)>See?  We need a new contest called "Putnam Jeopardy".I'll take  "Small Squares for 300".The answer is..."4"<bronk!> "What is 2+2?"   Sorry no.<bronk!>  "What is the base of the binary system?"Sorry no.<bronk!>  "What is the number of units in the ring of integers?"Sorry no.  The question we were looking for was     "What is 5^2012 mod 7?"  John, you still control the board.I'll take "Stupid integral tricks for 600...."-- Cheerfully resisting change since 1959.
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