Note that . The proof that h(100) + 1 is not divisible by any number <= 40 is similar to the Euclid's proof that there are infinitely many primes.
Hi! In studying for the GMAT, I ran into a rather difficult problem. I don't know where to start or any of the steps to choosing the correct answer.
For every positive even integer, N, the function h(n) is defined to be the product of all the even integers from 2 to N inclusive. If P is the smallest prime factor of h(100)+1, then p is:
Between 2 and 10
Between 10 and 20
Between 20 and 30
Between 30 and 40
Greater than 40
The correct answer is Greater than 40, but I am at a loss as to how to find it. Any help would be greatly appreciated.