""" https://projecteuler.net/problem=10 Problem Statement: The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17. Find the sum of all the primes below two million. """ import math from itertools import takewhile from typing import Iterator def is_prime(number: int) -> bool: """Returns boolean representing primality of given number num. >>> is_prime(2) True >>> is_prime(3) True >>> is_prime(27) False >>> is_prime(2999) True """ if number % 2 == 0 and number > 2: return False return all(number % i for i in range(3, int(math.sqrt(number)) + 1, 2)) def prime_generator() -> Iterator[int]: num = 2 while True: if is_prime(num): yield num num += 1 def solution(n: int = 2000000) -> int: """Returns the sum of all the primes below n. # The code below has been commented due to slow execution affecting Travis. # >>> solution(2000000) # 142913828922 >>> solution(1000) 76127 >>> solution(5000) 1548136 >>> solution(10000) 5736396 >>> solution(7) 10 """ return sum(takewhile(lambda x: x < n, prime_generator())) if __name__ == "__main__": print(solution(int(input().strip())))