Is it a super-prime? 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.
Jelly, 5 bytes

ÆRÆNċ


Try it online!

How it works

ÆRÆNċ  Main link. Argument: n

ÆR     Prime range; yield the array of all primes up to n.
  ÆN   N-th prime; for each p in the result, yield the p-th prime.
    ċ  Count the occurrences of n.