Referring to Exercise 29, find a number larger than 383838 that divides n 37 - n for

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Referring to Exercise 29, find a number larger than 383838 that divides n³⁷ - n for all positive integers n.

Data from Exercise 29

Use Fermat's theorem to show that for any positive integer n, the integer n³⁷ - n is divisible by 383838.

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A First Course In Abstract Algebra

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7th Edition

Authors: John Fraleigh

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Question Posted: Jan 04, 2023 05:04 AM

Use Fermat's theorem to show that for any positive integer n, the integer n 37 - n is divisible by 383838.
Prove that, for all positive integers n and k (n k), n+1
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Referring to Exercise 29, find a number larger than 383838 that divides n 37 - n for

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Looking at the argument in Exercise 29 we try ...View the full answer

A First Course In Abstract Algebra

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