In mathematics, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other, so the semiprimes include the squares of prime numbers.
A product of two primes can never be prime because the product of two primes p1 and p2 is always divisible by those two primes that are smaller than it and always bigger than 1 which is not prime by definition - and a prime is only divisible by 1 and itself.
The first 49 prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, and 227.
No, the product of two (or more) prime numbers cannot result in another prime number.