Hello!

I am trying to apply a result from a theorem to an example.

There is a thorem that states, for and and Euler's phi-function,

So I am trying to determine the last two digits of

So, Essentially,

Well, I believe.

Then, since

,

we have

Well,

so...

then

but we still have a left to deal with. That is where I'm stuck.

Anybody have any ideas? Thanks!!