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(i) Let p be a prime number and 0 < k < p. Show that p | p k . (ii) Use (i) to show

(i) Let p be a prime number and 0 < k < p. Show that p | p k . (ii) Use (i) to show Fermat’s Little Theorem: a p ≡ a (mod p), for any a ∈ Z

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