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

Question

17-03-2015
Mathematics

Answered

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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

Sagot :

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kitsumiaki42 kitsumiaki42 · Answer 1 · 2015-03-17T11:37:32-04:00

kitsumiaki42 kitsumiaki42

17-03-2015

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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konrad509 konrad509 · Answer 2 · 2015-03-17T12:34:19-04:00

konrad509 konrad509

17-03-2015

C. 6 + 7 = 13
because 6 and 7 are consecutive integers, but 13 is not a composite number.

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Sagot :

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