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24 January, 07:23

Constantine forms the following hypothesis. Let n be any non-negative number that meets the following condition: when n is divided by 5, the remainder cannot equal 2. For such values of n, the quantity Q = 97 - 6n is a prime number so long as Q > 0. Which of the following values of n would provide a counterexample to this hypothesis? Indicate all such values.

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  1. 24 January, 07:37
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    n=5

    Explanation:

    if n = 5

    i. n/5=5/5=1 so it divides completely the remainder is 0

    ii. 97 - 6 (5) = 97 - 30 = 67, 67 is a prime number.
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Home » Computers & Technology » Constantine forms the following hypothesis. Let n be any non-negative number that meets the following condition: when n is divided by 5, the remainder cannot equal 2. For such values of n, the quantity Q = 97 - 6n is a prime number so long as Q > 0.
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