A prime number is a number whose only divisors are 1 and itself. A sublinear polynomial-time algorithm has been shown to exist that determines primality or non-primality with certainty, unlike the previous probablistic tests, but it is extremely complicated. There must be an easier way.
In engineering, exact solutions are often not required, only good approximations. Thus, an "Engineer's Prime" of order N is any number that is divisible by none of the first N primes, since the smallest primes are easy to remember: 2, 3, 5, and so on. Note that 1 is not considered a prime in this case.
Given an int N, your method should return the smallest Engineer's Prime of order N that is not prime.