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disprove the following statement by giving a counterexample. for every integer p, if p is prime then p2 − 1 is even.

User Dee Newcum
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Final answer:

The statement "for every integer p, if p is prime then p^2 − 1 is even" is disproven by the counterexample p = 3.

Step-by-step explanation:

The statement "for every integer p, if p is prime then p2 − 1 is even" can be disproven by providing a counterexample. Let's consider the prime number p = 3. If we substitute p = 3 into the statement, we get 32 - 1 = 8, which is not even. Therefore, the statement is false. Thus, the counterexample is p = 3.

User Donal M
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