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Mathematics 17 Online
OpenStudy (anonymous):

my question on reminder theorm... solve plz

OpenStudy (anonymous):

\[reminder when 7^{7}^{7} is devided by 13 ... explain plz...\]

OpenStudy (anonymous):

in words .. 7 to the power 7 to the power 7 when devided by 13

OpenStudy (anonymous):

do you know how to raise powers?

OpenStudy (anonymous):

ys why?

OpenStudy (anonymous):

soory i misunderstood the question

OpenStudy (anonymous):

its a god question on reminder theorm.. I am not able to get full... :(

myininaya (myininaya):

do you mean remainder or reminder?

myininaya (myininaya):

i think you mean remainder

OpenStudy (anonymous):

Is there a reminder theorem ? :)

myininaya (myininaya):

remind me if there is a reminder thm

OpenStudy (anonymous):

I always forget :)

OpenStudy (anonymous):

lol

myininaya (myininaya):

do you have an example?

OpenStudy (anonymous):

7^6 = 1mod 7

OpenStudy (anonymous):

remainder

OpenStudy (anonymous):

Getting there, fiddling about my moduli:-)

OpenStudy (anonymous):

Hmm...this a bit trickier than I thought. I think it is 7 (only because I don't think it is 9,3 or 1), will nail it down eventually.

OpenStudy (anonymous):

Oh dear, it could be 6 as well....grr

OpenStudy (anonymous):

I am going to go for 6, will post steps later....

OpenStudy (anonymous):

Since 13 divides 7^13-7 (FLT) = 7(7^12-1) so 13 divides 7^12-1 and because 7^6 = 1 mod 12 we can write 7^7 as 7^(12r+7) = 7^12r*7^7 = 1*6

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