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Education > Math Undergrad > Re: What values...
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Re: What values?

by Stan Brown <the_stan_brown@[EMAIL PROTECTED] > May 5, 2008 at 10:36 PM

Sat, 03 May 2008 13:54:09 -0700 from The World Wide Wade 
<aderamey.addw@[EMAIL PROTECTED]
>:
> In article <MPG.22865099b5c7cbd298b61d@[EMAIL PROTECTED]
>,
>  Stan Brown <the_stan_brown@[EMAIL PROTECTED]
> wrote:
> > I never really studied exponents in modular arithmetic, so thinking 
> > out loud I'll try to apply this to 3^n mod 5:
> 
> The exponent property is based on a result I'm sure you know: If a = b 
> (mod m) and c = d  (mod m), then ac = bd (mod m). Proving a = b (mod 
> m) => a^n = b^n (mod m) for n = 1, 2, ... is then a two-line induction 
> argument.

Thanks, Wade.  I didn't know that property, but once it's stated I 
can see how to prove it easily enough.

-- 
Stan Brown, Oak Road Systems, Tompkins County, New York, USA
                                   http://OakRoadSystems.com
****kata ga nai...
 




 12 Posts in Topic:
what are all the possible value of 4^r (mod 5)
chan <chalong08@[EMAIL  2008-05-02 07:03:45 
Re: what are all the possible value of 4^r (mod 5)
The Qurqirish Dragon <  2008-05-02 07:15:22 
Re: what are all the possible value of 4^r (mod 5)
chan <chalong08@[EMAIL  2008-05-02 08:30:13 
Re: what are all the possible value of 4^r (mod 5)
Barb Knox <see@[EMAIL   2008-05-03 16:18:50 
What values?
William Elliot <marsh@  2008-05-02 20:37:08 
Re: What values?
Paul Sperry <plsperry@  2008-05-03 04:37:31 
Re: What values?
Virgil <Virgil@[EMAIL   2008-05-02 23:33:59 
Re: What values?
Stan Brown <the_stan_b  2008-05-03 11:36:48 
Re: What values?
The World Wide Wade <a  2008-05-03 13:54:09 
Re: What values?
Stan Brown <the_stan_b  2008-05-05 22:36:55 
Re: what are all the possible value of 4^r (mod 5)
"Dana DeLouis"   2008-05-16 11:28:17 
Re: what are all the possible value of 4^r (mod 5)
Pubkeybreaker <pubkeyb  2008-05-19 06:01:42 

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