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Education > Math Undergrad > Re: what are al...
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Re: what are all the possible value of 4^r (mod 5)

by Pubkeybreaker <pubkeybreaker@[EMAIL PROTECTED] > May 19, 2008 at 06:01 AM

On May 2, 10:15=A0am, The Qurqirish Dragon <qurqiri...@[EMAIL PROTECTED]
> wrote:
> On May 2, 10:03 am, chan <chalon...@[EMAIL PROTECTED]
> wrote:
>
> > What should be done to find these values?
>
> Particularly since the base is so small, it would be easiest to just
> calculate the values explicitly (4 mod 5, 4^2 mod 5, ...) until until
> you get a repeat. There can only be at most 5 values - since that is
> all the values any set of integers modulo 5 can have. A clever person
> will not wait for a repeat

It depends on the definition of easy.  I take "easiest" to mean "with
least effort".
In that case, the easiest method for any right thinking person would
be to recognize
that 4 =3D -1 mod 5  and that  -1 to any integer power can take on only
2 values: 1 or -1.
 




 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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tan12V112 Wed Dec 3 14:35:37 CST 2008.