You are given an integer array nums.

Return true if the frequency of any element of the array is prime, otherwise, return false.

The frequency of an element x is the number of times it occurs in the array.

A prime number is a natural number greater than 1 with only two factors, 1 and itself.

 

Example 1:

Input: nums = [1,2,3,4,5,4]

Output: true

Explanation:

4 has a frequency of two, which is a prime number.

Example 2:

Input: nums = [1,2,3,4,5]

Output: false

Explanation:

All elements have a frequency of one.

Example 3:

Input: nums = [2,2,2,4,4]

Output: true

Explanation:

Both 2 and 4 have a prime frequency.

 

Constraints: