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Use only ∀,∃,¬,∧,∨,=,!= to translate the following statement into a first-order logical formula. (You are NOT...

Use only ∀,∃,¬,∧,∨,=,!= to translate the following statement into a first-order logical formula. (You are NOT allowed to use any other symbols like →,>,<, etc.)

S(n) = “The number n cannot be written as the sum of three or more consecutive positive integers.”
Let n be an odd number greater than 1. Prove that n is a prime if and only if S(n) in (i) is true.

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