# Find all the numbers in the range which has prime set bits.

Objective: Given a range, find all the numbers in the range which has prime set bits.

Example:

```L = 4, R = 10
Output: 5
Explanation:
4 = 1 0 0 ( not prime)
5 = 1 0 1 (prime)
6 = 1 1 0 (prime)
7 = 1 1 1 (prime)
8 = 1 0 0 0 ( not prime)
9 = 1 0 0 1 (prime)
10 = 1 1 0 0 (prime)
Total 5 numbers which has prime set bits.
```

Approach:

1. Iterate through all numbers from L to R
1. For each number, count no of set bits.
2. check if the count is a prime number, if yes add it to result.

Time Complexity: O( N Sqrt (N) )

This algorithm can be improved using Sieve of Eratosthenes Algorithm. We will implement that in our next article –  Numbers with prime set bits in a given range using Sieve of Eratosthenes Algorithm

Complete Code:

Output:

```5
```

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If you find anything incorrect or you feel that there is any better approach to solve the above problem, please write comment.
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