1. For a positive integer n. consider the number n2 n + 41 . For n = 1. 2, 3, 4, 5, 6, 7, 8. 9, 10, 11, 12 we obtain 41. '43, 17, 53, 61, 71, 83, 97, 113, 131, 151, 173, which are prime numbers. Is it true that for every positive integer n the number n2 n + 41 is prime ? If the statement is true, give a proof. It if is false, give a counterexample, that is, give a positive integer n, such that 5'12 n + 41 is not prime