AtCoder Beginner Contest 149 - Next Prime

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.

Source: atcoder | Difficulty: EASY


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


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


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


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


n = int(input())
while any((n % i == 0 for i in range(2, int(n ** 0.5) + 1))):
	n += 1
print(n)


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


x = int(input())
a = 0
i = x
t = 0
ans = 0
while t == 0:
	a = 0
	for k in range(2, round(i ** 0.5) + 1):
		if i % k == 0:
			a = a + 1
	if a == 0:
		t = i
	i = i + 1
print(t)


a = int(input())
for i in range(a, 10 ** 7):
	result = [x for x in range(1, i + 1) if i % x == 0]
	if len(result) == 2:
		print(i)
		break


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


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)
		sys.exit()


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


X = int(input())
while 1:
	if all((X % i for i in range(2, int(X ** 0.5) + 1))):
		print(X)
		break
	X += 1


x = int(input())

def sosu(x):
	for i in range(2, x - 1):
		if x % i == 0:
			return False
	return True
while sosu(x) == False:
	x += 1
print(x)


x = int(input())
for i in range(x, 100004):
	if all([i % p != 0 for p in range(2, i)]):
		print(i)
		break


X = int(input())
ok = 0
while ok == 0:
	ok = 1
	for i in range(2, X):
		if X % i == 0:
			ok = 0
			break
	X += 1
print(X - 1)


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


x = int(input())
y = x
while True:
	if all([y % i != 0 for i in range(2, int(y ** 0.5 + 1))]):
		break
	else:
		y += 1
print(y)


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


N = int(input())
answer = N
while 1:
	if all([answer % n for n in range(2, answer)]):
		print(answer)
		exit()
	else:
		answer += 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 = X
while True:
	for j in range(2, int(p ** 0.5) + 1):
		if p % j == 0:
			break
	else:
		break
	p += 1
print(p)


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


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())

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


x = int(input())
ans = x
for i in range(100000):
	flag = 0
	for j in range(2, ans - 1):
		if ans % j == 0:
			flag = 1
	if flag == 0:
		break
	ans += 1
print(ans)


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


X = int(input())
j = 2
for i in range(X, (X - 1) * 2):
	while i % j != 0 and j <= i:
		j += 1
	if j == i:
		print(i)
		break
	j = 2
if X == 2:
	print(2)


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


x = int(input())
while True:
	n = 2
	while x % n != 0 and n <= x / 2:
		n += 1
	if n < x / 2:
		x += 1
	else:
		print(x)
		break


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


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())
i = X
while True:
	p = True
	for j in range(2, i):
		if i % j == 0:
			p = False
	if p:
		ans = i
		break
	i += 1
print(ans)


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


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


x = int(input())
for i in range(x, x ** 2):
	for s in range(2, int(i ** 0.5) + 1):
		if i % s == 0:
			break
	else:
		print(i)
		exit()


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)


def check(n):
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return False
	return True
n = int(input())
while not check(n):
	n += 1
print(n)


n = int(input())
ans = False
while not ans:
	ans = True
	for i in range(2, int(n ** (1 / 2)) + 1):
		if n % i == 0:
			ans = False
			break
	n = n + 1
print(n - 1)


x = int(input()) - 1
a = 0
while a == 0:
	a = 1
	x += 1
	for i in range(2, int(x ** 0.5) + 1):
		if x % i == 0:
			a = 0
			break
print(x)


x = int(input())
mod = 10 ** 7 + 9
for i in range(x, mod):
	if not any((i % j == 0 for j in range(2, i + 1 - 1))):
		ans = i
		break
print(ans)


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()


x = int(input())
while True:
	if any((x % i == 0 for i in range(2, x // 2))):
		x += 1
	else:
		print(x)
		exit(0)


X = int(input())
for i in range(X, 10 ** 100):
	if all((i % j != 0 for j in range(2, int(i ** (1 / 2) + 1)))):
		print(i)
		exit()


import math
n = int(input())
for i in range(n, 2 ** n):
	cnt = 0
	for j in range(2, n):
		if i % j == 0:
			cnt += 1
	if cnt == 0:
		print(i)
		break


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


n = int(input())
p = n
while 1:
	x = 0
	for i in range(2, p):
		if p % i != 0:
			x = x + 1
	if x == p - 2:
		print(p)
		break
	else:
		p = p + 1


X = int(input())
for i in range(X, 10 ** 6):
	Flag = True
	for j in range(2, X):
		if i % j == 0:
			Flag = False
			break
	if Flag == True:
		print(i)
		break


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


X = int(input())
while X != 'prime':
	for i in range(2, X):
		if X % i == 0:
			break
	else:
		break
	X += 1
print(X)


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)


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


X = int(input())

def prime(n):
	for i in range(2, int(n ** 0.5) + 1):
		if n % i == 0:
			return 0
	return 1
while prime(X) == 0:
	X += 1
print(X)


x = int(input())
for i in range(x, 100004):
	for j in range(2, i):
		if i % j == 0:
			break
	else:
		print(i)
		break


import sys
input = sys.stdin.readline
X = int(input())
Num = X
while any((Num % i == 0 for i in range(2, Num))):
	Num += 1
print(Num)


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())
for i in range(n, n + 1000):
	flg = 0
	for j in range(2, int(i ** (1 / 2)) + 1):
		if i % j == 0:
			flg = 1
	if flg == 0:
		print(i)
		break


import math
x = int(input())
for i in range(x, 100004):
	for j in range(2, math.floor(math.sqrt(i)) + 1):
		if i % j == 0:
			break
	else:
		print(i)
		exit()


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)


n = int(input())
while 1:
	for i in range(2, int(n ** 0.5) + 1):
		if n % i < 1:
			break
	else:
		print(n)
		break
	n += 1


x = int(input())
counter = 0
while counter == 0:
	counter = 1
	for i in range(2, x):
		if x % i == 0:
			counter = 0
	if counter == 1:
		print(x)
	else:
		x += 1


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


X = int(input())
b = X ** 0.5
while any((X % i == 0 for i in range(2, int(b) + 1))):
	X += 1
else:
	print(X)


x = int(input())
if x == 2:
	print(2)
	exit()
for i in range(x, x * 100):
	for j in range(2, int(x ** 0.5) + 2):
		if i % j == 0:
			break
	else:
		print(i)
		exit()


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


X = int(input())
ans = -1
x = X
while ans == -1:
	if all([x % i != 0 for i in range(2, x)]):
		ans = x
	else:
		x += 1
print(ans)


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)


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 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())
	answer = solve(X)
	print(answer)

def __starting_point():
	main()
__starting_point()


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


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)


x = int(input())
bu = [False] * 2 * 10 ** 5
cur = 2
while cur < x or bu[cur]:
	if not bu[cur]:
		bu[::cur] = [True] * len(bu[::cur])
	cur += 1
print(cur)


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


def is_prime(x):
	for i in range(2, x):
		if x % i == 0:
			return 1
	return 0
x = int(input())
a = x
while is_prime(a):
	a += 1
print(a)


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())
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())
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)


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


x = int(input())
while True:
	xs = [i for i in range(1, x + 1) if x % i == 0]
	if len(xs) == 2:
		break
	x += 1
print(x)


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


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])


def isPrime(n):
	for i in range(2, n):
		if n % i == 0:
			return False
	return True
x = int(input())
while not isPrime(x):
	x += 1
print(x)


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())
for i in range(x, 10 ** 6):
	for n in range(2, i):
		if i % n == 0:
			break
	else:
		print(i)
		break


X = int(input())
for i in range(X, 10 ** 6):
	for j in range(2, int(i ** 0.5 + 1)):
		if i % j == 0:
			break
	else:
		print(i)
		break


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


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())

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())
ans = x - 1
cnt = 0
while cnt == 0:
	cnt = 1
	ans += 1
	for i in range(2, ans):
		if ans % i == 0:
			cnt = 0
			break
print(ans)


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


X = int(input())
for i in range(X, 10 ** 6):
	res = 0
	for j in range(2, i):
		if i % j == 0:
			res = 1
	if res == 0:
		print(i)
		exit()


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


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)


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 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])


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


x = int(input())
for j in range(x, 2 * x):
	c = 0
	for i in range(2, j):
		if j % i == 0:
			c += 1
	if c == 0:
		print(j)
		break


x = int(input())
for i in range(x, 10 ** 10):
	if all((i % j != 0 for j in range(2, int(i ** 0.5) + 1))):
		print(i)
		break


n = int(input())
m = 10 ** 5 + 4
for i in range(n, m):
	lst = []
	if all((i % j != 0 for j in range(2, int(n ** 0.5 // 1 + 1)))):
		print(i)
		break


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())


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


X = int(input())
for i in range(X, 2 * X):
	for j in range(2, X):
		if i % j == 0:
			break
	else:
		print(i)
		break


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)


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


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


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


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)]

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()


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)


n = int(input())
a = 0
b = 0
while a == 0:
	x = n + b
	b += 1
	y = 0
	for i in range(x - 2):
		if x % (2 + i) == 0:
			y += 1
	if y == 0:
		a += 1
print(x)


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()


def Eratosthenes(x):
	lis = [int(i) for i in range(2, x)]
	res = list()
	while lis:
		a = lis.pop(0)
		res.append(a)
		lis = [i for i in lis if i % a != 0]
	return res
N = int(input())
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, 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87509, 87511, 87517, 87523, 87539, 87541, 87547, 87553, 87557, 87559, 87583, 87587, 87589, 87613, 87623, 87629, 87631, 87641, 87643, 87649, 87671, 87679, 87683, 87691, 87697, 87701, 87719, 87721, 87739, 87743, 87751, 87767, 87793, 87797, 87803, 87811, 87833, 87853, 87869, 87877, 87881, 87887, 87911, 87917, 87931, 87943, 87959, 87961, 87973, 87977, 87991, 88001, 88003, 88007, 88019, 88037, 88069, 88079, 88093, 88117, 88129, 88169, 88177, 88211, 88223, 88237, 88241, 88259, 88261, 88289, 88301, 88321, 88327, 88337, 88339, 88379, 88397, 88411, 88423, 88427, 88463, 88469, 88471, 88493, 88499, 88513, 88523, 88547, 88589, 88591, 88607, 88609, 88643, 88651, 88657, 88661, 88663, 88667, 88681, 88721, 88729, 88741, 88747, 88771, 88789, 88793, 88799, 88801, 88807, 88811, 88813, 88817, 88819, 88843, 88853, 88861, 88867, 88873, 88883, 88897, 88903, 88919, 88937, 88951, 88969, 88993, 88997, 89003, 89009, 89017, 89021, 89041, 89051, 89057, 89069, 89071, 89083, 89087, 89101, 89107, 89113, 89119, 89123, 89137, 89153, 89189, 89203, 89209, 89213, 89227, 89231, 89237, 89261, 89269, 89273, 89293, 89303, 89317, 89329, 89363, 89371, 89381, 89387, 89393, 89399, 89413, 89417, 89431, 89443, 89449, 89459, 89477, 89491, 89501, 89513, 89519, 89521, 89527, 89533, 89561, 89563, 89567, 89591, 89597, 89599, 89603, 89611, 89627, 89633, 89653, 89657, 89659, 89669, 89671, 89681, 89689, 89753, 89759, 89767, 89779, 89783, 89797, 89809, 89819, 89821, 89833, 89839, 89849, 89867, 89891, 89897, 89899, 89909, 89917, 89923, 89939, 89959, 89963, 89977, 89983, 89989, 90001, 90007, 90011, 90017, 90019, 90023, 90031, 90053, 90059, 90067, 90071, 90073, 90089, 90107, 90121, 90127, 90149, 90163, 90173, 90187, 90191, 90197, 90199, 90203, 90217, 90227, 90239, 90247, 90263, 90271, 90281, 90289, 90313, 90353, 90359, 90371, 90373, 90379, 90397, 90401, 90403, 90407, 90437, 90439, 90469, 90473, 90481, 90499, 90511, 90523, 90527, 90529, 90533, 90547, 90583, 90599, 90617, 90619, 90631, 90641, 90647, 90659, 90677, 90679, 90697, 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


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)


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())
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


def is_prime(p):
	if p > 1:
		for i in range(2, p):
			if p % i == 0:
				return True
	return False
X = int(input())
p = X
while is_prime(p) != False:
	p += 1
print(p)


def prime(n):
	for i in range(2, int(n ** 0.5 + 1)):
		if n % i == 0:
			return False
	return True
x = int(input())
for i in range(x, 1000000):
	if prime(i):
		print(i)
		break


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)


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())
if X == 2:
	pass
if X % 2 == 0 and X != 2:
	X += 1
flag = 0
while flag == 0:
	if all((X % i != 0 for i in range(3, X - 1, 2))):
		flag = 1
	else:
		X += 2
print(X)


x = int(input())
while True:
	i = 2
	ok = True
	while i * i <= x:
		if x % i == 0:
			ok = False
			break
		i += 1
	if ok:
		print(x)
		break
	x += 1


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


x = int(input())
i = max(2, x)
while 1:
	for j in range(2, i):
		if i % j == 0:
			break
	else:
		break
	i += 1
print(i)


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())
while not all((x % i for i in range(2, x))):
	x += 1
print(x)


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())
count = 0
n = 1
while True:
	n += 1
	ans = True
	for i in range(2, int(x ** 0.5)):
		if n % i == 0:
			ans = False
			break
	if ans and n >= x:
		print(n)
		break


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)


N = int(input())
M = N - 1
flg = 0
while flg == 0:
	M += 1
	flg = 1
	for n in range(2, M - 1):
		if M % n == 0:
			flg = 0
			break
print(M)


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


x = int(input())

def pr(n):
	for p in range(2, n):
		if n % p == 0:
			return pr(n + 1)
	return n
print(pr(x))


def Eratosthenes(x):
	lis = [int(i) for i in range(2, x + 1)]
	res = list()
	while lis:
		a = lis.pop(0)
		res.append(a)
		lis = [i for i in lis if i % a != 0]
	return res
import math
X = int(input())
N = int(math.sqrt(X))
lis = Eratosthenes(N)
ans = X
while True:
	if all((ans % i != 0 for i in lis)):
		print(ans)
		break
	ans += 1


def f(n):
	if n == 2:
		return 2
	for i in range(2, [n, 5][n > 5]):
		if i ** n % n != i:
			return f(n + 1)
	return n
print(f(int(input())))


x = int(input())
flag = 0
for i in range(x, 10 ** 18):
	for p in range(2, i):
		if i % p == 0:
			break
	else:
		print(i)
		break


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


import math
x = int(input())
a = int(x / 2) + 1
while 1:
	for i in range(2, a):
		if not x % i:
			x += 1
			break
	else:
		ans = x
		break
print(ans)


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


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


import sys
x = int(input())
for i in range(x, 2 * x + 1):
	for j in range(2, int(i ** 0.5) + 1):
		if i % j == 0:
			break
	else:
		print(i)
		sys.exit()


x = int(input())
end = int(x ** (1 / 2))
for i in range(x, x + 1000):
	if all([i % j != 0 for j in range(2, end)]):
		print(i)
		break


x = int(input())
for i in range(x, 2 * x):
	n = 0
	for j in range(2, i + 1):
		if i % j == 0:
			n += 1
	if n == 1:
		print(i)
		quit()


import sys

def Prime(x):
	for i in range(2, x):
		if x % i == 0:
			return False
	return True
X = int(input())
i = 0
while True:
	if Prime(X + i):
		print(X + i)
		return
	i += 1


num = 0
x = int(input())
while num != 1:
	num = 0
	for i in range(2, x + 1):
		if x % i == 0:
			num += 1
	j = x
	x += 1
print(j)


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())
if x < 4:
	print(x)
	exit()
while 1:
	for i in range(2, int(x ** 0.5) + 1):
		if x % i:
			continue
		break
	else:
		print(x)
		exit()
	x += 1


x = int(input())

def a(i):
	for j in range(2, i):
		if i % j == 0:
			return False
	return True
while not a(x):
	x += 1
print(x)


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)


import math
N = int(input())
for i in range(N, N + 100):
	for j in range(2, int(math.sqrt(N)) + 1):
		if i % j == 0:
			break
	else:
		print(i)
		break


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

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())
for x in range(X, 10 ** 6):
	if all((x % i != 0 for i in range(2, x))):
		print(x)
		break


X = int(input())
prime = 0
while not prime:
	i = 2
	while i <= int(X / 2):
		if X % i == 0:
			X += 1
			break
		i += 1
	else:
		prime = 1
print(X)


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


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


import math
X = int(input())
for i in range(X, 2 * X, 1):
	for j in range(2, math.floor(i ** 0.5) + 1, 1):
		if i % j == 0:
			break
	else:
		print(i)
		break


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
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
X = int(input())
while any((X % i == 0 for i in range(2, int(math.sqrt(X) + 1)))):
	X += 1
print(X)


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:
			return False
X = int(input())
while True:
	if isPrime(X):
		print(X)
		break
	else:
		X += 1


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


x = int(input())
while 1:
	if all((x % i != 0 for i in range(2, int(x ** (1 / 2)) + 1))):
		print(x)
		break
	else:
		x += 1


X = int(input())
t = 0
while True:
	for i in range(2, X):
		if X % i == 0:
			break
	else:
		print(X)
		exit()
	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 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)


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())
for x in range(X, 1000000):
	for i in range(2, x):
		if x % i == 0:
			break
	else:
		print(x)
		break


x = int(input())

def check(m):
	for i in range(2, int(m ** 0.5) + 1):
		if m % i == 0:
			return 0
	return 1
while check(x) == 0:
	x += 1
print(x)


N = int(input())

def is_prime(x):
	if x <= 1:
		return False
	for i in range(2, x):
		if x % i == 0:
			return False
	return True
while not is_prime(N):
	N += 1
print(N)


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


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


X = int(input())
i = int(X ** 0.5)
while i >= 2:
	if X % i == 0:
		X += 1
		i = int(X ** 0.5)
	else:
		i -= 1
print(X)


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 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())
p = x ** 0.5
while any((x % i == 0 for i in range(2, int(p) + 1))):
	x += 1
else:
	print(x)


N = int(input())
x = True
while x:
	num = 2
	while N % num != 0:
		num += 1
	if num == N:
		x = False
	else:
		N += 1
print(N)


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


N = int(input())

def ans(n):
	for i in range(2, N // 2 + 1):
		if n % i == 0:
			return ans(n + 1)
	return n
print(ans(N))


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


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)


import math
X = int(input())
N = int(math.sqrt(X))
lis = list(range(2, N + 1))
ans = X
while True:
	if all((ans % i != 0 for i in lis)):
		print(ans)
		break
	ans += 1


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())
a = X
while 1:
	f = 1
	for b in range(2, X):
		if a % b == 0:
			f = 0
			break
	if f == 1:
		print(a)
		break
	a += 1


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


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])


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())
Y = 0
while Y == 0:
	Y = 1
	for i in range(2, int(X * 0.5 + 1)):
		Y = Y * (X % i)
	X += 1
print(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)


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


x = int(input())
for i in range(x, 100003 + 1):
	for j in range(2, i):
		if i % j == 0:
			break
	else:
		print(i)
		break


X = int(input())
for Y in range(X, 1000000):
	count = 0
	for i in range(2, Y + 1):
		if Y % i == 0:
			count += 1
	if count == 1:
		break
print(Y)


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