Background
A super-prime is a prime number whose index in the list of all primes is also prime. The sequence looks like this:
3, 5, 11, 17, 31, 41, 59, 67, 83, 109, 127, 157, 179, 191, ...
This is sequence A006450 in the OEIS.
Challenge
Given a positive integer, determine whether it is a super-prime.
Test Cases
2: false 3: true 4: false 5: true 7: false 11: true 13: false 17: true 709: true 851: false 991: true
Scoring
This is code-golf, so the shortest answer in each language wins.