How would I go about proving 165 | (n^20 - a^20) if n and a are relatively prime to 165?
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First: By Fermat's Little Theorem (since n is coprime to 5) then and in the same way: THus: so 5 divides Do the same for the other two primes ( 3 and 11) and you have that 165 divides
Last edited by PaulRS; December 2nd 2007 at 12:15 PM. Reason: Latex
Paul use \bmod instead.
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