Alternative solution

Here is a complementary counting approach: Note that 2,3,5 are all prime. The next 2 prime numbers are 7 and 11, and the product of them is 77. That is greater than 30, so we just need to subtract off the # of primes that are less than 30 (and 1), other than 2,3,5 . We find the next primes are 7,11,13,17,19,23,29. Thus, we get the answer 30  (7+1) = 22.

@professionalbronco Yes, that definitely works! It's interesting how both strategies are useful in different cases Prof. Loh's method is faster when considering larger numbers, but yours is quicker in this case with smaller numbers Nice!