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24 February, 16:44

Which is a counter example to the conjecture? The product of any two consecutive integrs is a composite number.

A. 3x4=12

B. 30x31=930

C. 1x2=2

D. 10x11=110

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  1. 24 February, 18:37
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    The counter-example is 1 * 2 = 2

    A counter-example is used to give some instance where a conjecture fails.

    1 multiplied by 2 results in 2.

    1 and 2 are consecutive integers, yes, but 2 is a prime number and it is not composite. So this conjecture is not always true.

    This is a counter-example: We used the conditions to get a contradictory outcome to this conjecture of "The product of any two consecutive integers is a composite number".
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