Fermats little theorem question

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The discussion centers on solving the equation x6 ≡ 24 (mod 68) using the method of Repeated Squaring. The user Bob seeks guidance on applying this technique effectively. Alex provides a helpful resource link to assist in understanding the method. Repeated Squaring is a crucial algorithm for efficiently computing large powers modulo a number, particularly in modular arithmetic contexts.

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Bob19
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Repeated squaring

Hi
I have tasked with solving the following equation:
[tex]x^6 \ \equiv 24 \ \mathbf{mod} \ 68[/tex]
I'm told now that I need to use a method called "Repeated squaring to solve the equation above".
Any hints/idears on how I do this will be appriciated very much !
/Bob
 
Last edited:
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Bob19 said:
Hi
I have tasked with solving the following equation:
[tex]x^6 \ \equiv 24 \ \mathbf{mod} \ 68[/tex]
I'm told now that I need to use a method called "Repeated squaring to solve the equation above".
Any hints/idears on how I do this will be appriciated very much !
/Bob
This should help:

http://web.usna.navy.mil/~wdj/book/node27.html

Alex
 
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