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a) Prove: If n is the square of some integer, then n /≡ 3 (mod 4)....

a) Prove: If n is the square of some integer, then n /≡ 3 (mod 4). (/≡ means not congruent to)

b) Prove: No integer in the sequence 11, 111, 1111, 11111, 111111, . . . is the square of an integer.

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