Question: Prove that if a is any odd integer, then a2 1 (mod 8). [Hint: Note that a 1; 3; 5, or 7 (mod 8).]

Prove that if a is any odd integer, then a2 1 (mod 8). [Hint: Note that a 1; 3; 5, or 7 (mod 8).]

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