Question: Let m and n be relatively prime positive integers. (Relatively prime means they share no common divisors other than 1.) Prove that there is some

Let m and n be relatively prime positive integers. (Relatively prime

Let m and n be relatively prime positive integers. (Relatively prime means they share no common divisors other than 1.) Prove that there is some k such that mk 1 is divisible by n. Hint: Start by proving that in the sequence m, m2, m3, m4, . . . , there are two numbers which have the same remainder when divided by n

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