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Fixed natural number

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Reference no: EM131919146

Let n > 1 be a fixed natural number.

(a) Prove the following: if x is of the form x = nk + 1 for some natural number k, then x^2 ≡ 1 mod n.

(b) Find a y ∈ N and an n ∈ N such that y (not congruent) 1 mod n and y^2 ≡ 1 mod n.

Reference no: EM131919146

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