
from __future__ import annotations

import math
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     Dict:




   """simple docstring"""




   if num <= 0:
      _SCREAMING_SNAKE_CASE      =				F"{num}: Invalid input, please enter a positive integer."
      raise ValueError(SCREAMING_SNAKE_CASE_						)

   _SCREAMING_SNAKE_CASE      =				[True] * (num + 1)
   _SCREAMING_SNAKE_CASE      =				[]
   _SCREAMING_SNAKE_CASE      =				2
   _SCREAMING_SNAKE_CASE      =				int(math.sqrt(SCREAMING_SNAKE_CASE_						)						)

   while start <= end:
      # If start is a prime
      if sieve[start] is True:
         prime.append(SCREAMING_SNAKE_CASE_						)

         # Set multiples of start be False
         for i in range(start * start    ,      num + 1    ,      SCREAMING_SNAKE_CASE_						):
            if sieve[i] is True:
               _SCREAMING_SNAKE_CASE      =				False

      start += 1

   for j in range(end + 1    ,      num + 1						):
      if sieve[j] is True:
         prime.append(SCREAMING_SNAKE_CASE_						)

   return prime


if __name__ == "__main__":
     print(prime_sieve(int(input("Enter a positive integer: ").strip())))








'''simple docstring'''



import math
from collections.abc import Iterator
from itertools import takewhile
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_						)     ->     bool:




   """simple docstring"""

   if 1 < number < 4:
      # 2 and 3 are primes
      return True
   elif number < 2 or number % 2 == 0 or number % 3 == 0:
      # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
      return False

   # All primes number are in format of 6k +/- 1
   for i in range(5    ,      int(math.sqrt(SCREAMING_SNAKE_CASE_						) + 1						)    ,      6						):
      if number % i == 0 or number % (i + 2) == 0:
         return False
   return True
def    lowerCAmelCase_	(				)     ->     Iterator[int]:




   """simple docstring"""
   _SCREAMING_SNAKE_CASE      =				2
   while True:
      if is_prime(SCREAMING_SNAKE_CASE_						):
         yield num
      num += 1
def    lowerCAmelCase_	(				SCREAMING_SNAKE_CASE_ = 2_00_00_00						)     ->     int:




   """simple docstring"""
   return sum(takewhile(lambda SCREAMING_SNAKE_CASE_						: x < n    ,      prime_generator()						)						)


if __name__ == "__main__":
     print(f"""{solution() = }""")






