Question

Disprove the following statement by giving a counterexample. (Enter your answers as a comma-separated list.) For every integer p, if p is prime then p2 − 1 is even.

Answer 1

The given statement is not always true.

Explanation:

The given statement is not true,

We have the statement that,

p² - 1 is even number; if p is any prime number.

But this statement is not true always as,

Examples: 2 is a prime number and 2² - 1 = 3

But, 3 is not even.