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Re: No Putnam spoilers please
Posted:
Dec 3, 2012 9:09 AM
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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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