Concept explainers
Faux pas Fermat. Compute 15 mod 6, 25 mod 6, 35 mod 6, 45 mod 6, and 55 mod 6. What if you raise the numbers to the power 2? Compute n6 mod 9 for numbers n from 1 to 8. What is the answer when n and 9 have no common factors? Do you think there is a way to extend Fermat’s Little Theorem when the mod number is not prime? Make a guess (yes or no).
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