Problem:


Score: 300 points

Problem Statement

Find the minimum prime number greater than or equal to X.

Notes

A prime number is an integer greater than 1 that cannot be evenly divided by any positive integer except 1 and itself.

For example, 2, 3, and 5 are prime numbers, while 4 and 6 are not.

Constraints

 2 \le X \le 10^5 

All values in input are integers.

Input

Input is given from Standard Input in the following format:

X

Output

Print the minimum prime number greater than or equal to X.

Sample Input 1

20

Sample Output 1

23

The minimum prime number greater than or equal to 20 is 23.

Sample Input 2

2

Sample Output 2

2

X itself can be a prime number.

Sample Input 3

99992

Sample Output 3

100003



Sample input:
20


Sample output:
23

Submission status: Accepted

Solution code:
def main():
    x=int(input())
    if x==2:
        print(2)
        exit()
    for n in range(x,10**5+4):
        for i in range(2,min(int(n**.5)+1,n)):
            flag=1
            if n%i==0:
                flag=0
                break
        if flag:
            print(n)
            break 
main()

Submission status: Accepted

Solution code:
import math

def jud(n):
    for i in range(2,int(math.sqrt(n))+1):
        if n%i==0:
            return False
    return True

n = int(input())
while 1:
    if jud(n):
        print(n)
        exit()
    n+=1