We proved the following claim in Theorem 4.16: A positive integer n ≥ 2 is evenly divisible by some other integer k ∈ 2, 3, . . . , √ n if and only if n is composite. If we delete the word “other,”...

We proved the following claim in Theorem 4.16: A positive integer n ≥ 2 is evenly divisible by some other integer k ∈ 2, 3, . . . , √ n if and only if n is composite. If we delete the word “other,” this claim becomes false. Prove that this modified claim is false