Question

What is the prime number that's one-half the product of the only two consecutive prime numbers?

Answer 1

a,b - the consecutive prime numbers
c - the prime number


`(ab)/(2)=c`

therefore a or b must be a even number. Conclusion a = 2, therefore b = 3.

Substitute:


`(2\cdot3)/(2)=3`

Answer: The prime number that's one-half the product of the only two consecutive prime numbers is equal 3.