.Problem 1. Recall that an integer p greater than 1 is prime if the only positive factors are 1 and p. A positive integer greater than 1 that is not prime is said to be composite. Find the mistake in the following "proofs" that the statement "for all integers k, if k>0, then k²+2k +1 is composite." (1) Proof: For k= 4 we have k² +2k+1=42+2(4)+1=25. We know that 25-5-5, and so 25 is composite. Therefore, the statement is true.