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Let p be a prime number and Sp = {x Z : x 1 mod p}. Write the set of integers in Sp.

Let p be a prime number and Sp = {x ∈ Z : x ≡ 1 mod p}. Write the set of integers in Sp. Is Sp countable or uncountable? Prove the claim

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The set Sp is the set of integers congruent to 1 modulo p In other words it consists of all integers ... blur-text-image

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