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-----
20

-----Sample Output-----
23

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

Difficulty: introductory

Starter code:

Solutions:
#!/usr/bin/env python3
import sys
from itertools import chain
import numpy as np


def solve(X: int):
    if X <= 2:
        return 2
    flags = np.array([True for i in range(3, X + 112, 2)])
    for i in range(len(flags)):
        if flags[i]:
            prime = i * 2 + 3
            flags[i::prime] = False
            if prime >= X:
                return prime




def main():
    X = int(input())  # type: int
    answer = solve(X)
    print(answer)


def __starting_point():
    main()

__starting_point()

x = int(input())
MAX = 10**5+10
res = [0 for i in range(MAX)]
ans = 0

for i in range(2,MAX):
    j = i
    if(res[i] != 0):
        continue
    while(j < MAX):
        if(res[j] == 0):
            res[j] = i
        j += i
        
for i in range(x,MAX) :
    if(res[i] == i):
        ans = i
        break
print(ans)

x = int(input())

ans = x
past = int(ans**0.5)
divisor = [i for i in range(1, past+1, 1) if x%i == 0]
while len(divisor) != 1:
    if ans%2 == 0:
        ans += 1
    else:
        ans += 2
    root = int(ans**0.5)
    divisor = [j for j in range(1, root+1, 1) if ans%j == 0]

print(ans)

def prime(n):
    if n <= 1:
        return False
    for i in range(2, n):
        if n % i == 0:
            return False
    return True


X = int(input())
while True:
    if prime(X):
        break
    else:
        X += 1
print(X)


#!/usr/bin/env python3
import sys
from itertools import chain
import numpy as np


def solve(X: int):
    if X <= 2:
        return 2
    flags = np.array([True for i in range(3, X + 100, 2)])
    for i in range(len(flags)):
        if flags[i]:
            prime = i * 2 + 3
            flags[i::prime] = False
            if prime >= X:
                return prime




def main():
    X = int(input())  # type: int
    answer = solve(X)
    print(answer)


def __starting_point():
    main()

__starting_point()

import math

def is_prime(n):
    if n == 1: return False

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

    return True

x = int(input())

for i in range(x, 10**5 + 4):
    if is_prime(i) == True:
        print(i)
        return


import bisect
def sieve(n):
    is_prime = [True for _ in range(n+1)]
    is_prime[0] = False

    for i in range(2, n+1):
        if is_prime[i-1]:
            j = 2 * i
            while j <= n:
                is_prime[j-1] = False
                j += i
    table = [ i for i in range(1, n+1) if is_prime[i-1]]
    return is_prime, table

x = int(input())
a,b = sieve(100003)

idx = bisect.bisect_left(b,x)
print(b[idx])

# -*- coding: utf-8 -*-
"""
Created on Tue Sep  8 20:37:12 2020

@author: liang
"""
import math
X = int(input())
N = int(math.sqrt(X))
lis = list(range(2,N+1))
#print(N)
#print(lis)
ans = X 

while True:
    if all(ans%i != 0 for i in lis):
        print(ans)
        break
    #print(ans)
    ans += 1

n = int(input())
count = 0

def prime(n):
    if n == 2:
        return True
    else:
        i = 2
        while i ** 2 <= n:
            if n % i == 0:
                return False
            i += 1
        return True
i = n
while not prime(i):
    i += 1
print(i)

def SieveOfEratosthenes(n):
	prime = [True for i in range(n+250)] 
	p = 2
	while (p * p <= n+250): 
		if (prime[p] == True): 
			for i in range(p * p, n+250, p): 
				prime[i] = False
		p += 1
	for p in range(2, n+250): 
		if prime[p] and p>=n:
			print(p)
			break
n = int(input())
SieveOfEratosthenes(n)

import math
X = int(input())
if X == 2:
    print(2)
else:
    is_end = False
    while not is_end:
        is_end = True
        for i in range(1, X // 2):
            if math.gcd(X, i) != 1:
                is_end = False
                X += 1
                break
    print(X)

import sys
import copy
X = int(input())
while True:
    b = False
    for i in range(2,X):
        if X%i == 0:
            b = True
            break

    if b == False:
        print(X)
        return
    else:
        X+=1


K = 10**6
isp = [True] * K
isp[0] = isp[1] = False
for i in range(4, K, 2):
  isp[i] = False
for k in range(3, K, 2):
  if isp[k]:
    j = 2*k
    while j < K:
      isp[j] = False
      j += k

x = int(input())
while True:
  if isp[x]:
    print(x)
    return
  x += 1


x = int(input())
if x == 2:
    print((2))
    return
while True:
    flg = 0
    for i in range(2,int(x**0.5)+1):
        if x%i == 0:
            flg += 1
        if i == int(x**0.5) and flg == 0:
            print(x)
            return
    x += 1



import math

def is_prime(x):
	for i in range(2, int(math.sqrt(x))):
		if x % i == 0:
			return False
	return True

x = int(input())
while(not is_prime(x)):
	x += 1
print(x)


import math
X=int(input())

while True:
    for i in range(2,int(math.sqrt(X))):
        if X%i==0:
            break
    else:
        print(X)
        break
    X+=1


n = int(input())
count = 0

def prime(n):
    if n == 2:
        return True
    else:
        i = 2
        while i ** 2 <= n:
            if n % i == 0:
                return False
            i += 1
        return True
i = n
while not prime(i):
    i += 1
print(i)


import math
X = int(input())
if X == 2:
    print(2)
else:
    is_end = False
    while not is_end:
        is_end = True
        for i in range(2, X // 2):
            if math.gcd(i, X) != 1:
                is_end = False
                X += 1
                break
    print(X)

def isPrime(num):
    mod = 2
    for i in range (2, num):
        if num%i==0:
            mod+=1
            break
    if mod == 2:
        return True
    else:
        return False


x = int(input())
while True:
    if isPrime(x):
        print(x)
        break
    else:
        x+=1

X = int(input())

def prime_judge(N):
  K = 2
  ans = True
  while K*K <= N:
    if N%K == 0:
      ans = False
      break
    else:
      K += 1
  return ans

while True:
  if prime_judge(X):
    print(X)
    break
  else:
    X += 1

X = int(input())

if X == 2:
    print(2)
    return
    
for i in range(X,2*X):
    for j in range(2,i):
        if i % j == 0:
            break
        if j == i-1:
            print(i)
            return

# Original Submission At: https://atcoder.jp/contests/abc149/submissions/16823042
x= int(input())

def prime_check(num,count):
    while True:
        while num % count == 0:
            num = num + 1
            count = 2
        if num <= count**2:
            print(num)
            break
        else:
            count = count + 1

if x==2 :
    print((2))
else:
    prime_check(x,2)


MAX=200000
def get_prime(x):
  is_prime = [True] * 200000
  for i in range(2,MAX):
    if is_prime[i] and i >= x:
      return i
    elif is_prime[i]:
      for j in range(2 * i, MAX, i):
        is_prime[j] = False

print((get_prime(int(input()))))


x = int( input() )

def prime_test( n ):
    if n < 2:
        return False
    if n == 2:
        return True
    if n % 2 == 0:
        return False
    for k in range( 3, int( n ** 0.5 ) + 1 ):
        if n % k == 0:
            return False
    return True

while True:
    if prime_test( x ) == True:
        print( x )
        break
    x += 1


X = int(input())

for x in range(X,100004):
  a = 0
  for p in range(2,x):
    if x%p==0:
      a += 1
      break
  if a==0:
    print(x)
    return

x=int(input())
#any()内で一個でもtrueであればtrueを返す
while any(x%i<1 for i in range(2,x)):
    x+=1
print(x)

def is_prime(x):
  k = 2
  while k * k <= x:
    if x % k == 0:
      return False
    k += 1
  return True

x = int(input())
while True:
  if is_prime(x):
    print(x)
    break
  else:
    x+=1

X = int(input())
a = 0
if X == 2 or X == 3:
  print(X)
  return
if X % 2 == 0:
  X += 1
for i in range(X , 10 ** 6, 2):
  for j in range(3,i,2):
    a = i % j
    if a == 0:
      break
  if a != 0 :
    print(i)
    return
        
      
        


x = int(input())
num=2
while num<x:
  if x%num==0:
    x+=1
    num=2
  else:
    num+=1
print(x)

# -*- coding: utf-8 -*-
"""
Created on Tue Sep  8 20:25:36 2020

@author: liang
"""

def Eratosthenes(x):
    lis = [int(i) for i in range(2,x+1)]
    #print(lis)
    res = list()
    while lis:
        a = lis.pop(0)
        res.append(a)
        lis = [i for i in lis if i%a != 0]
        #print(lis)
    return res

import math
X = int(input())
N = int(math.sqrt(X))
lis = Eratosthenes(N)
#print(N)
#print(lis)
ans = X 

while True:
    if all(ans%i != 0 for i in lis):
        print(ans)
        break
    ans += 1

import math
import collections
ii = lambda : int(input())
mi = lambda : map(int,input().split())
li = lambda : list(map(int,input().split()))

x = ii()
while 1:
    cnt = 0
    for i in range(2,math.ceil(x**(1/2)),1):
        if x % i == 0:
            cnt = 1
            break
    if cnt == 0:
        print(x)
        return
    x += 1

from math import sqrt
x = int(input())

while True:
    isP = True
    for i in range(2, int(sqrt(x))):
        if x % i == 0:
            isP = False
            break
    if isP:
        print (x)
        break
    x += 1

x = int(input())
ans = 0
if x == 2:
    ans = 2
elif x == 3:
    ans = 3
else:
    for i in range(x,100004):
        check = True
        root = int(i ** 0.5) + 1
        for j in range(2,root):
            if i % j == 0:
                check = False
                break
            else:
                continue
        if check:
            ans = i
            break
print(ans)

x = int(input())

def isprime(s):
  if s>2 and s%2==0:
    return False
  else:
    flg = True
    for i in range(3, s//2+1, 2):
      if s%i == 0:
        flg = False
        break
    return flg

for i in range(x, 10**6):
  if isprime(i) == True:
    print(i)
    break

import math
x=int(input())
if x==2:print(2);return
if x%2==0:x+=1
for i in range(x,2*x,2):
    for j in range(2,int(math.sqrt(i))+1):
        if i%j==0:
            break
    else:
        print(i)
        break

import math

x=int(input())

if x==2:
    print((2))
    return

x=x//2*2+1
i=x
while 1:
    flag=True
    for j in range(2,int(i**0.5)+1):
        if i%j==0:
            flag=False
            break
    if flag:
        break
    i+=1

print(i)


def is_prime(num):
    if num % 2 == 0 and num != 2:
        return False
    i = 3
    while i*i <= num:
        if(num%i == 0):
            return False
        i += 2
    return True

def __starting_point():
    n = int(input())
    while is_prime(n) == False:
        n += 1
    print(n)
__starting_point()

import math

def isPrime(n):
    if n < 2:
        return False
    else:
        divisors = []
        tem = []
        for p in range(1,math.ceil(n**(1/2)+1)):
            if n % p == 0:
                divisors.append(p)
        
        for divisor in divisors:
            tem.append(n//divisor)
        
        divisors = list(set(sorted(divisors + tem)))
        
        if len(divisors) == 2:
            return True
        else:
            #print(divisors)
            return False

X = int(input())

while True:
    if isPrime(X):
        print(X)
        break
    else:
        X += 1

primeornot=[True]*(10**5*2)
for i in range(2,10**5):
    if primeornot[i]==True:
        j=2*i
        while j<10**5*2:
            primeornot[j]=False
            j+=i
x=int(input())
for i in range(x,10**5*2):
    if primeornot[i]==True:
        print(i)
        break

x = int(input())

def is_prime(n):
  k = 2
  while k*k <= n:
    if n % k == 0:
      return False
    k += 1
  return True

while True:
  if is_prime(x):
    print(x)
    return
  x += 1


x = int(input())

def is_prime(n):
    if n == 1:
        return False
    for i in range(2,int(n**0.5)+1):
        if n % i == 0:
            return False
    return True

for i in range(x**2+1):
  if is_prime(x+i):
    print((x+i))
    return


# Original Submission At: https://atcoder.jp/contests/abc149/submissions/16823042
import sys
sys.setrecursionlimit(1000000)

x= int(input())

def prime_check(num,count):
    if (num % count) != 0:
        if num <= count**2:
            print(num)
        else:
            prime_check(num,count+1)
    else :
        prime_check(num+1,2)

if x==2 :
    print((2))
else:
    prime_check(x,2)


x = int(input())
while True:
  flg = True
  for i in range(2,x):
    if x % i == 0:
      flg = False
      break
  if flg == True: break
  x += 1
print(x)

X = int(input())

def isPrime(n):
    if n <= 1:
        return False
    p = 2
    while p * p <= n:
        if n % p == 0:
            return False
        p += 1
    return True

for x in range(X,1000004):
    if isPrime(x):
        print(x)
        return

X = int(input())
if(X == 2):
    print(2)
    return
for i in range(X,10**5+4):
    count = 0
    for j in range(2,int(i**0.5)+2):
        if(i % j == 0):
            count += 1
            continue
        if(count == 0 and j == int(i**0.5)+1):
            print(i)
            return
    count = 0

x = int(input())
def f():
    for i in range(x, 10**10):
        c = 0
        for j in range(2, i):
            if i%j != 0:
                c += 1
                if c == i-2:
                    return i
            else:
                break
if x == 2:
    print(2)
else:
    print(f())

x=int(input())
while True:
  flag=0
  for i in range(2,int(x**0.5)+2):
    if x%i==0:
      flag=1
      break
    else:
      continue
  if x==2:
    flag=0
  if flag==0:
    print(x)
    break
  else:
    x+=1

x=int(input())
m=2*(10**5)
lis=[True for i in range(m)]
i=2
while i*i<=m:
    if lis[i]:
        for j in range(2*i,m,i): lis[j]=False
    i+=1
while True:
    if lis[x]:
        print(x)
        break
    x+=1

X=int(input())

p=[True for _ in range(0,200000+1)]
p[0]=False
p[1]=False
for i in range(2,200000+1):
    if p[i]==False:
        continue
    for j in range(2,200000//i):
        p[i*j]=False

while p[X]==False:
    X+=1
print(X)


p = int(input())
while True:
  q = int(p**0.5)
  for i in range(2, q+1):
    if p%i == 0:
      p += 1
      break
  else:
    print(p)
    break

x = int(input())
 
def is_prime(n):
    if n == 1:
        return False
    for i in range(2,int(n**0.5)+1):
        if n % i == 0:
            return False
    return True 
  
for i in range (10**5+1):
  if is_prime(x+i):
    print(x + i)
    return

X = int(input())
X_ri = round(pow(X, 1/2))

while True:
  for i in range(2, X_ri + 1):
    if X % i == 0:
      break
  else:
    print(X)
    break
  X = X + 1

X = int(input())

def get_sieve_of_eratosthenes_new(n):
    import math
    if not isinstance(n, int):
        raise TypeError('n is int type.')
    if n < 2:
        raise ValueError('n is more than 2')
    prime = []
    limit = math.sqrt(n)
    data = [i + 1 for i in range(1, n)]
    while True:
        p = data[0]
        if limit <= p:
            return prime + data
        prime.append(p)
        data = [e for e in data if e % p != 0]

prime = get_sieve_of_eratosthenes_new(10**6)
for num in prime:
    if num >= X:
        print(num)
        break


import math
X = int(input())
if X == 2:
    print(2)
else:
    is_end = False
    while not is_end:
        is_end = True
        for i in range(2, X // 2):
            if math.gcd(X, i) != 1:
                X += 1
                is_end = False
                break
    print(X)

from bisect import bisect_left

n = int(input())
hurui = [True for _ in range(100010)]
prime_lst = []
for i in range(2, 100010):
  if not hurui[i]:
    continue
  prime_lst.append(i)
  for j in range(i * i, 100010, i):
    hurui[j] = False

pos = bisect_left(prime_lst, n)
print(prime_lst[pos])

import math
def isprime(n):
  if n == 2:
    return True
  elif n % 2 == 0:
    return False
  else:
    for i in range(3,math.ceil(math.sqrt(n))+1,2):
      if n % i == 0:
        return False
    return True

x = int(input())
ans = 0
if x == 2:
  ans = 2
else:
  if x % 2 == 0:
    st = x+1
  else:
    st = x
  for i in range(st,100001):
    if isprime(i) == True:
      ans = i
      break
  if ans == 0:
    ans = 100003
print(ans)

from math import sqrt
x = int(input())

while True:
    f = 1
    s = int(sqrt(x))
    for i in range(2, s+1):
        if x % i == 0:
            f = 0
            break
    if f == 1:
        print(x)
        break
    x += 1

x = int(input())
flag = True
while flag:
    flag = False
    for i in range(2, x):
        if x%i == 0:
            flag = True
            x += 1
            break
print(x)

n=int(input())
while True:
  j=True
  for i in range(2,int(n**.5)+1):
    if n%i==0:
      n+=1
      j=False
      break
  if j:
    print(n)
    break

import math
x = int(input()) -1
def is_prime(x):
    prime = True
    for i in range(2,int(math.sqrt(x))):
        if x % i == 0:
            prime = False
            break
    return prime

while True:
    x += 1
    if is_prime(x):
        print(x)
        break

n = int(input())
 
def p(x):
  if x == 2:
    return True
  for i in range(2,x//2):
    if x % i == 0:
      return False
  return True
 
for i in range(n,2*n):
  if p(i):
    print(i)
    break

#!/usr/bin/env python3
def solve(x: int):
    for n in range(2, int(x ** 0.5) + 1):
        if x % n == 0:
            return False
    return True


def main():
    X = int(input())

    while True:
        if solve(X):
            print(X)
            break
        else:
            X += 1


def __starting_point():
    main()

__starting_point()

x = int(input())

def prime_check(n):
    f = 3
    while f * f <= n:
        if n % f == 0:
            return False
        else:
            f += 2
    else:
        return True

if x != 2:
    if x % 2 == 0:
        x += 1
    while 1:
        if prime_check(x) == True:
            print(x)
            break
        else:
            x += 2
else:
    print(2)

X = int(input())
a = 0
X_ri = round(pow(X, 1/2))

if X == 2:
  print(2)
  return
if X % 2 == 0:
  X = X + 1

while True:
  for i in range(3, X_ri + 1, 2):
    if X % i == 0:
      break
  else:
    print(X)
    break
  X = X + 2

x = int(input())

def hantei(x):
  p = []
  for i in range(2,int(x**(1/2))+1):
    if (x % i) == 0:
      return False
  else:
    return True
  
while 1:
  if hantei(x):
    print(x)
    break
  else:
    x+=1


# coding: utf-8
from math import sqrt

def main():
    X = int(input())

    for i in range(X, 100004):
        tmp = int(sqrt(i))
        flg = False
        for j in range(2, tmp + 1):
            if (i % j == 0):
                flg = True
                break
        if flg == False:
            ans = i
            break

    print(ans)

def __starting_point():
    main()

__starting_point()

n=int(input())
while any(n%i==0 for i in range(2,int(n**.5)+1)):
  n+=1
print(n)

import math
x = int(input())

while True:
  a = int(math.sqrt(x))
  for y in range(2,a+1):
    if x % y == 0:
      break
  else:
    ans = x
    break
  x += 1

  
print(ans)


import math

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

n = int(input())
while True:
  if prime(n):
    break
  else:
    n += 1
print(n)

import math
X = int(input())
if X == 2:
    print(2)
else:
    is_end = False
    while not is_end:
        is_end = True
        for i in range(2, X // 2):
            if math.gcd(X, i) != 1:
                is_end = False
                X += 1
                break
    print(X)

import math
x = int(input())
while True:
    for i in range(2,int(math.sqrt(x)) + 1):
        if x % i == 0:
            break
    else:
        print(x)
        break
    x += 1

import math
X = int(input())
if X == 2:
    print(2)
else:
    is_end = False
    while not is_end:
        is_end = True
        for i in range(2, X // 2):
            if math.gcd(X, i) != 1:
                X += 1
                is_end = False
                break
    print(X)

x = int(input())

l = [2]+[i for i in range(3, 10**5+4, 2)]
p = 2
while p**2 < x :
    p = l[0]
    l = [q for q in l if q%p]
for p in l:
    if p >= x:
        print(p)
        break

import sys
def Prime(x):
  for i in range(2, x):
    if(x%i==0):
      return False
  return True

if (__name__=='__main__'):
  X = int(input())
  i = 0
  while True:
    if Prime(X+i):
      print(X+i)
      return
    i += 1

x = int(input())
n = int(x**0.5)

if x==2 or x==3:
    print(x)
else:
    while True:
        for i in range(2,n+1,1):
            if x%i==0:
                break
        else:
            print(x)
            break
        x += 1

def f(n):
    for i in range(2, int(n**0.5)+1):
        if n % i == 0:
            return False
    return True

x = int(input())
i = x-1
while True:
    i += 1
    if f(i):
        print(i)
        return

import sys
N = int(input())
if N == 2:
  print(2)
  return
n = N-1
Flag = True
while Flag:
  n += 1
  for i in range(2,int(n**0.5)+1):
    if n%i == 0:
      break
    if i == int(n**0.5) and n%i != 0:
      Flag = False
  
print(n)

x = int(input())
ans = 0
for i in range(x, 10000000):
    is_prime_bool = True
    for j in range(2, i - 1):
        if i % j == 0:
            is_prime_bool = False
            break
    if is_prime_bool:
        print(i)
        break

import sys
X = int(input())

for i in range(X, 10**6):
    for j in range(2, i):
        if i%j == 0:
            break
    else:
        print(i)
        return


import math

def check(n):
  p_list = []
  s_list = [*range(2,n+1)]
  while True:
    if s_list[0] > math.sqrt(n):
      p_list.extend(s_list)
      break
    else:
      h_num = s_list[0]
      p_list.append(h_num)
      s_list.pop(0)
      s_list = [i for i in s_list if i%h_num!=0]
  return p_list

n=int(input());s=10**len(str(n))
m=sorted(i for i in check(n+s) if i>=n)
print(m[0])

N = int(input())
while True:
    check = True
    # sqrt(N)まで試し割りする
    # 割り切れたらnを増やしてもう一回
    for i in range(2,int(N**0.5)+1):
        if N%i == 0:
            N += 1
            check = False
            break
    if check:
        print(N)
        break


# -*- coding: utf-8 -*-
"""
Created on Tue Sep  8 20:09:25 2020

@author: liang
"""

def Eratosthenes(x):
    lis = [int(i) for i in range(2,x)]
    #print(lis)
    res = list()
    while lis:
        a = lis.pop(0)
        res.append(a)
        lis = [i for i in lis if i%a != 0]
        #print(lis)
    return res

N = int(input())
#lis = Eratosthenes(N)
lis = [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 9013, 9029, 9041, 9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 9239, 9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 9631, 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817, 9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, 10009, 10037, 10039, 10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103, 10111, 10133, 10139, 10141, 10151, 10159, 10163, 10169, 10177, 10181, 10193, 10211, 10223, 10243, 10247, 10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 10313, 10321, 10331, 10333, 10337, 10343, 10357, 10369, 10391, 10399, 10427, 10429, 10433, 10453, 10457, 10459, 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 10657, 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, 10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 10861, 10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 10957, 10973, 10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069, 11071, 11083, 11087, 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 11171, 11173, 11177, 11197, 11213, 11239, 11243, 11251, 11257, 11261, 11273, 11279, 11287, 11299, 11311, 11317, 11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399, 11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 11489, 11491, 11497, 11503, 11519, 11527, 11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 11633, 11657, 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 11777, 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, 11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, 11939, 11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 12037, 12041, 12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113, 12119, 12143, 12149, 12157, 12161, 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, 12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, 12329, 12343, 12347, 12373, 12377, 12379, 12391, 12401, 12409, 12413, 12421, 12433, 12437, 12451, 12457, 12473, 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, 12539, 12541, 12547, 12553, 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 12637, 12641, 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 12739, 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, 12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, 12941, 12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033, 13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 13121, 13127, 13147, 13151, 13159, 13163, 13171, 13177, 13183, 13187, 13217, 13219, 13229, 13241, 13249, 13259, 13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337, 13339, 13367, 13381, 13397, 13399, 13411, 13417, 13421, 13441, 13451, 13457, 13463, 13469, 13477, 13487, 13499, 13513, 13523, 13537, 13553, 13567, 13577, 13591, 13597, 13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681, 13687, 13691, 13693, 13697, 13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 13781, 13789, 13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, 13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967, 13997, 13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081, 14083, 14087, 14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221, 14243, 14249, 14251, 14281, 14293, 14303, 14321, 14323, 14327, 14341, 14347, 14369, 14387, 14389, 14401, 14407, 14411, 14419, 14423, 14431, 14437, 14447, 14449, 14461, 14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549, 14551, 14557, 14561, 14563, 14591, 14593, 14621, 14627, 14629, 14633, 14639, 14653, 14657, 14669, 14683, 14699, 14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821, 14827, 14831, 14843, 14851, 14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947, 14951, 14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, 15077, 15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149, 15161, 15173, 15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259, 15263, 15269, 15271, 15277, 15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331, 15349, 15359, 15361, 15373, 15377, 15383, 15391, 15401, 15413, 15427, 15439, 15443, 15451, 15461, 15467, 15473, 15493, 15497, 15511, 15527, 15541, 15551, 15559, 15569, 15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643, 15647, 15649, 15661, 15667, 15671, 15679, 15683, 15727, 15731, 15733, 15737, 15739, 15749, 15761, 15767, 15773, 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 15881, 15887, 15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959, 15971, 15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069, 16073, 16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 16187, 16189, 16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267, 16273, 16301, 16319, 16333, 16339, 16349, 16361, 16363, 16369, 16381, 16411, 16417, 16421, 16427, 16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493, 16519, 16529, 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90703, 90709, 90731, 90749, 90787, 90793, 90803, 90821, 90823, 90833, 90841, 90847, 90863, 90887, 90901, 90907, 90911, 90917, 90931, 90947, 90971, 90977, 90989, 90997, 91009, 91019, 91033, 91079, 91081, 91097, 91099, 91121, 91127, 91129, 91139, 91141, 91151, 91153, 91159, 91163, 91183, 91193, 91199, 91229, 91237, 91243, 91249, 91253, 91283, 91291, 91297, 91303, 91309, 91331, 91367, 91369, 91373, 91381, 91387, 91393, 91397, 91411, 91423, 91433, 91453, 91457, 91459, 91463, 91493, 91499, 91513, 91529, 91541, 91571, 91573, 91577, 91583, 91591, 91621, 91631, 91639, 91673, 91691, 91703, 91711, 91733, 91753, 91757, 91771, 91781, 91801, 91807, 91811, 91813, 91823, 91837, 91841, 91867, 91873, 91909, 91921, 91939, 91943, 91951, 91957, 91961, 91967, 91969, 91997, 92003, 92009, 92033, 92041, 92051, 92077, 92083, 92107, 92111, 92119, 92143, 92153, 92173, 92177, 92179, 92189, 92203, 92219, 92221, 92227, 92233, 92237, 92243, 92251, 92269, 92297, 92311, 92317, 92333, 92347, 92353, 92357, 92363, 92369, 92377, 92381, 92383, 92387, 92399, 92401, 92413, 92419, 92431, 92459, 92461, 92467, 92479, 92489, 92503, 92507, 92551, 92557, 92567, 92569, 92581, 92593, 92623, 92627, 92639, 92641, 92647, 92657, 92669, 92671, 92681, 92683, 92693, 92699, 92707, 92717, 92723, 92737, 92753, 92761, 92767, 92779, 92789, 92791, 92801, 92809, 92821, 92831, 92849, 92857, 92861, 92863, 92867, 92893, 92899, 92921, 92927, 92941, 92951, 92957, 92959, 92987, 92993, 93001, 93047, 93053, 93059, 93077, 93083, 93089, 93097, 93103, 93113, 93131, 93133, 93139, 93151, 93169, 93179, 93187, 93199, 93229, 93239, 93241, 93251, 93253, 93257, 93263, 93281, 93283, 93287, 93307, 93319, 93323, 93329, 93337, 93371, 93377, 93383, 93407, 93419, 93427, 93463, 93479, 93481, 93487, 93491, 93493, 93497, 93503, 93523, 93529, 93553, 93557, 93559, 93563, 93581, 93601, 93607, 93629, 93637, 93683, 93701, 93703, 93719, 93739, 93761, 93763, 93787, 93809, 93811, 93827, 93851, 93871, 93887, 93889, 93893, 93901, 93911, 93913, 93923, 93937, 93941, 93949, 93967, 93971, 93979, 93983, 93997, 94007, 94009, 94033, 94049, 94057, 94063, 94079, 94099, 94109, 94111, 94117, 94121, 94151, 94153, 94169, 94201, 94207, 94219, 94229, 94253, 94261, 94273, 94291, 94307, 94309, 94321, 94327, 94331, 94343, 94349, 94351, 94379, 94397, 94399, 94421, 94427, 94433, 94439, 94441, 94447, 94463, 94477, 94483, 94513, 94529, 94531, 94541, 94543, 94547, 94559, 94561, 94573, 94583, 94597, 94603, 94613, 94621, 94649, 94651, 94687, 94693, 94709, 94723, 94727, 94747, 94771, 94777, 94781, 94789, 94793, 94811, 94819, 94823, 94837, 94841, 94847, 94849, 94873, 94889, 94903, 94907, 94933, 94949, 94951, 94961, 94993, 94999, 95003, 95009, 95021, 95027, 95063, 95071, 95083, 95087, 95089, 95093, 95101, 95107, 95111, 95131, 95143, 95153, 95177, 95189, 95191, 95203, 95213, 95219, 95231, 95233, 95239, 95257, 95261, 95267, 95273, 95279, 95287, 95311, 95317, 95327, 95339, 95369, 95383, 95393, 95401, 95413, 95419, 95429, 95441, 95443, 95461, 95467, 95471, 95479, 95483, 95507, 95527, 95531, 95539, 95549, 95561, 95569, 95581, 95597, 95603, 95617, 95621, 95629, 95633, 95651, 95701, 95707, 95713, 95717, 95723, 95731, 95737, 95747, 95773, 95783, 95789, 95791, 95801, 95803, 95813, 95819, 95857, 95869, 95873, 95881, 95891, 95911, 95917, 95923, 95929, 95947, 95957, 95959, 95971, 95987, 95989, 96001, 96013, 96017, 96043, 96053, 96059, 96079, 96097, 96137, 96149, 96157, 96167, 96179, 96181, 96199, 96211, 96221, 96223, 96233, 96259, 96263, 96269, 96281, 96289, 96293, 96323, 96329, 96331, 96337, 96353, 96377, 96401, 96419, 96431, 96443, 96451, 96457, 96461, 96469, 96479, 96487, 96493, 96497, 96517, 96527, 96553, 96557, 96581, 96587, 96589, 96601, 96643, 96661, 96667, 96671, 96697, 96703, 96731, 96737, 96739, 96749, 96757, 96763, 96769, 96779, 96787, 96797, 96799, 96821, 96823, 96827, 96847, 96851, 96857, 96893, 96907, 96911, 96931, 96953, 96959, 96973, 96979, 96989, 96997, 97001, 97003, 97007, 97021, 97039, 97073, 97081, 97103, 97117, 97127, 97151, 97157, 97159, 97169, 97171, 97177, 97187, 97213, 97231, 97241, 97259, 97283, 97301, 97303, 97327, 97367, 97369, 97373, 97379, 97381, 97387, 97397, 97423, 97429, 97441, 97453, 97459, 97463, 97499, 97501, 97511, 97523, 97547, 97549, 97553, 97561, 97571, 97577, 97579, 97583, 97607, 97609, 97613, 97649, 97651, 97673, 97687, 97711, 97729, 97771, 97777, 97787, 97789, 97813, 97829, 97841, 97843, 97847, 97849, 97859, 97861, 97871, 97879, 97883, 97919, 97927, 97931, 97943, 97961, 97967, 97973, 97987, 98009, 98011, 98017, 98041, 98047, 98057, 98081, 98101, 98123, 98129, 98143, 98179, 98207, 98213, 98221, 98227, 98251, 98257, 98269, 98297, 98299, 98317, 98321, 98323, 98327, 98347, 98369, 98377, 98387, 98389, 98407, 98411, 98419, 98429, 98443, 98453, 98459, 98467, 98473, 98479, 98491, 98507, 98519, 98533, 98543, 98561, 98563, 98573, 98597, 98621, 98627, 98639, 98641, 98663, 98669, 98689, 98711, 98713, 98717, 98729, 98731, 98737, 98773, 98779, 98801, 98807, 98809, 98837, 98849, 98867, 98869, 98873, 98887, 98893, 98897, 98899, 98909, 98911, 98927, 98929, 98939, 98947, 98953, 98963, 98981, 98993, 98999, 99013, 99017, 99023, 99041, 99053, 99079, 99083, 99089, 99103, 99109, 99119, 99131, 99133, 99137, 99139, 99149, 99173, 99181, 99191, 99223, 99233, 99241, 99251, 99257, 99259, 99277, 99289, 99317, 99347, 99349, 99367, 99371, 99377, 99391, 99397, 99401, 99409, 99431, 99439, 99469, 99487, 99497, 99523, 99527, 99529, 99551, 99559, 99563, 99571, 99577, 99581, 99607, 99611, 99623, 99643, 99661, 99667, 99679, 99689, 99707, 99709, 99713, 99719, 99721, 99733, 99761, 99767, 99787, 99793, 99809, 99817, 99823, 99829, 99833, 99839, 99859, 99871, 99877, 99881, 99901, 99907, 99923, 99929, 99961, 99971, 99989, 99991, 100003]
for i in lis:
    if i >= N:
        print(i)
        break
"""
x = N
while True:
    if all(x%i != 0 for i in lis):
        print(x)
        break
    x += 1
"""

#!/usr/bin/env python3
import math
x = int(input())
while True:
    key=1
    for k in range(2, int(math.sqrt(x)) + 1):
        if x % k == 0:
            key=0
    if key==1:
        print(x)
        return
    else:
        x += 1
print(x)

def is_prime(n):
    if n < 2:
        return False;
    if n % 2 == 0:
        return n == 2
    k = 3
    while k*k <= n:
        if n % k == 0:
            return False
        k += 2
    return True

X = int(input())

while not is_prime(X):
    X += 1

print(X)

X = int(input())

while True:
    check = True
    for i in range(2, int(X**0.5)+1):
        if X%i == 0:
            X += 1
            check = False
            break
    if check:
        print(X)
        break


import math
X = int(input())
if X == 2:
    print(2)
else:
    is_end = False
    while not is_end:
        is_end = True
        for i in range(2, X // 2):
            if math.gcd(i, X) != 1:
                is_end = False
                X += 1
                break
    print(X)

sieve = [False for i in range(200000)]
for i in range(2, len(sieve)):
    if not sieve[i]:
        for j in range(i * i, len(sieve), i):
            sieve[j] = True
x = int(input())
for i in range(2, len(sieve)):
    if (not sieve[i]) and i >= x:
        print(i)
        return



x = int(input())
for i in range(x,10**6): 
    for j in range(2,int(i**(1/2))+1):
        if i%j==0:
            break
    else:
        ans = i
        break
print(ans)

import math
X = int(input())
if X == 2:
    print(2)
else:
    is_find = False
    while not is_find:
        for i in range(2, X//2):
            is_find = True
            if math.gcd(X, i) != 1:
                is_find = False
                X += 1
                break
        rst = X
    print(rst)


X = int(input())

if X == 2:
    print(X)
else:
    while(1):
        if X % 2 == 0:
            X += 1
            continue
        else:
            for i in range(3, X):
                if X % i == 0:
                    break
            else:
                print(X)
                break

            X += 1
            continue

x = int(input())
n = x + (x - 1) % 2
ans = 0

found = True
 
while found:
    found = False
    if x == 2:
        ans = x
        break

    for i in range(3, n // 2, 2):
        if n % i == 0:
            found = True
            break
    ans = n
    n += 2
print(ans)       

n=int(input())
while any(n%i==0 for i in range(2,n)):
  n+=1
print(n)

# Begin Header {{{
from math import gcd
from collections import Counter, deque, defaultdict
from heapq import heappush, heappop, heappushpop, heapify, heapreplace, merge
from bisect import bisect_left, bisect_right, bisect, insort_left, insort_right, insort
from itertools import accumulate, product, permutations, combinations, combinations_with_replacement
# }}} End Header
# _________コーディングはここから！！___________
def is_prime(t):
    k = 2
    while k*k <= t:
        if t%k == 0:
            return False
        k+=1
    return True

x = int(input())
while True:
    if is_prime(x):
        print(x)
        break
    else:
        x+=1

X = int(input())


while True:
  a = []
  for i in range(2,X):
    if X % i == 0:
      a.append(0)
      break
    else:
      a.append(1)
  
  if 0 in a:
    X += 1
  else:
    break

print(X)

import numpy as np
pr = np.ones(10**6+1)
pr[0] = pr[1] = 0
for k in range(4, 10**6+1, 2):
    pr[k] = 0
for i in range(3,10**3,2):
    if pr[i] == 1:
        for k in range(i*2, 10**6+1, i):
            pr[k] = 0
x = int(input())
while(True):
    if pr[x] == 1:
        print(x)
        return
    x += 1

X=int(input())
flag=0

if X==2 or X==3:
	flag=1

while flag==0:
	for k in range(2,int(X**0.5)+1):
		if k==int(X**0.5) and X%k!=0:
			flag=1
		
		if k>2 and k%2==0:
			continue
		elif k>3 and k%3==0:
			continue
		elif X%k==0:
			break
	
	if flag==0:X=X+1	
		
print(X)


import sys
import math
from collections import defaultdict, deque, Counter
from copy import deepcopy
from bisect import bisect, bisect_right, bisect_left
from heapq import heapify, heappop, heappush
    
input = sys.stdin.readline
def RD(): return input().rstrip()
def F(): return float(input().rstrip())
def I(): return int(input().rstrip())
def MI(): return map(int, input().split())
def MF(): return map(float,input().split())
def LI(): return list(map(int, input().split()))
def TI(): return tuple(map(int, input().split()))
def LF(): return list(map(float,input().split()))
def Init(H, W, num): return [[num for i in range(W)] for j in range(H)]
    

#素数判定
def Eratosthenes(n):
    from math import sqrt
    res = [True] * (n+1)
    res[0] = False
    res[1] = False
    
    for i in range(2,int(sqrt(n))+1):
        if res[i]:
            for j in range(2*i,n+1,i):
                res[j] = False
    return res

def main():
    X = I()
    n = pow(10, 6)
    res = Eratosthenes(n)
    
    while True:
        if res[X]:
            print(X)
            return
        
        X+=1
    
def __starting_point():
    main()
__starting_point()

#-*-coding:utf-8-*-
import sys
input=sys.stdin.readline

import math

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

def main():
    x = int(input())

    for i in range(x,100004):
        if is_prime(i)==True:
            print(i)
            break

def __starting_point():
    main()
__starting_point()

import math

def min_prime(start, limit):
    for k in range(start, limit+1):

        if k%2 == 0 and k !=2:
            continue

        factor = 0

        for divisor in range(2, math.ceil(math.sqrt(k))):
            if k % divisor == 0:
                factor += 1

        if factor == 0:
            return k

x = int(input())
print((min_prime(x, 10**6)))


import sys

x=int(input())


for x in range(x,x*2):
        for i in range(2,x//2):
                if x%i==0:
                        break
        else:
                print(x)
                return