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7 May, 17:09

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.

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  1. 7 May, 20:19
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    The given statement is not always true.

    Step-by-step 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.
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