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2. (a) Find all positive integers in such that n-2+1 0 (mod 3). (b) Let p 3,5,7 be a prime. Prove that there are

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2. (a) Find all positive integers in such that n-2+1 0 (mod 3). (b) Let p 3,5,7 be a prime. Prove that there are infinitely many integers n satisfying the congruen n (315) + 2022 = 0 (mod p).

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