Fermat.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 27E
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please  very soon  Let p be a prime and a a natural number relatively prime to p. Let k be the smallest natural number such that a^k ≡ 1 (mod p). Prove that k divides p − 1. Hint: Fermat.

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