You are given an integer n.

Return the largest prime number less than or equal to n that can be expressed as the sum of one or more consecutive prime numbers starting from 2. If no such number exists, return 0.

 

Example 1:

Input: n = 20

Output: 17

Explanation:

The prime numbers less than or equal to n = 20 which are consecutive prime sums are:

The largest is 17, so it is the answer.

Example 2:

Input: n = 2

Output: 2

Explanation:

The only consecutive prime sum less than or equal to 2 is 2 itself.

 

Constraints: