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

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".