Which value of m is a counterexample for the following statement?If m is an odd prime number, then m + 2 is also prime.

If m and n are odd positive integers, then m2 + n2 is even, but not divisible by 4. Justify.

For some integer m, every even integer is of the form

Given:(1) If n is an even number, then 5n + 2 is always an even number.(2) If n is an integer larger than 1, then 2^n − 1 is always a prime number.Select one of the following choices:Question 16Answera.(1) and (2) are True.b.(1) is True and (2) is False.c.(1) and (2) are False.d.(1) is False and (2) is True.

For each of the following statements, either prove that the statement is true, or finda counterexample to show that the statement is false and explain your reasoning.(a) For each integer n, n is even if and only if 6n + 4 is even.(b) For all integers ℓ, m, n, if ℓ + m is odd and ℓ + n is even, then m + n is odd.

Which is a counterexample of the following conditional statement:"If a number is divisible by 5, then it is an odd number." 15 18 30 35