Are there infinitely many prime numbers of the form $p^2+4$ with $p$ prime?

Question

Let $p$ be a prime. Are there infinitely many prime numbers which are of the form $p$$^2$$+$$4$?

Answer 1

The easy answer: We don't know.

Check out: https://oeis.org/A045637.

It looks like this problem is open but an answer would follow from us resolving the Bunyakovsky conjecture. You can read up on that here or on wiki.