Prove that the following statement is not true.
\(m\) is an odd number greater than \(1 \Rightarrow m ^ { 2 } + 4\) is prime.
By considering separately the case when \(n\) is odd and the case when \(n\) is even, prove that the following statement is true.
\(n\) is a positive integer \(\Rightarrow n ^ { 2 } + 1\) is not a multiple of 4 .