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5 August, 21:45

Which is a counterexample to this conjecture?

The sum of any two consecutive integers is a composite number.

A.

16 + 17 = 33

B.

10 + 11 = 21

C.

6 + 7 = 13

D.

7 + 8 = 15

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Answers (2)
  1. 5 August, 22:13
    0
    C. 6 + 7 = 13

    because 6 and 7 are consecutive integers, but 13 is not a composite number.
  2. 5 August, 23:51
    0
    The answer is C.

    33,21, and 15 are all composite numbers. Meaning that they had factors other than 1 and themselves. 13 is a prime number because 13 only factors are 1 and itself.
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