Are there infinitely many prime numbers p so that p+2 and p+4 are also primes?

There are infinitely prime numbers "p", but p+2 and p+4 are not primes.

Example: Suppose p = 7 (prime) if you add 2, it becomes 9 (Not a Prime).

Same thing if p = 11 (prime), if yo add 4, it becomes 15 (Not a prime number)