Let be a prime number. Stating any results that you use, deduce that xº-1 = (x – 1)(x – 2) · . · (x – (p – 1)) (mod p), •. and so for p > 3, (p – 1)! = -1 (mod p).

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Q: 1. Use Euler's Theorem to prove Q265 = a for all a E Z. a (mod 105)

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Q: For n=195, by Fermat's theorem a-2 a) a' (modn) b) 1(modn) c) 0(modn) d) a(mod n)

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