Let n 2 and k be any positive integer. Prove that if and only if . I've tried considering but it still got me no where.
I'm looking more for a hint than an actual answer as I do want to figure this out mostly on my own.
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Use the factorization
So it reduces to
then use the fact that
P.S. Remember the multiplication of congruences
Last edited by I-Think; December 8th 2011 at 06:42 PM.
you can factor into
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