""" 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 using Sieve_of_Eratosthenes: The sieve of Eratosthenes is one of the most efficient ways to find all primes smaller than n when n is smaller than 10 million. Only for positive numbers. """ def prime_sum(n: int) -> int: """Returns the sum of all the primes below n. >>> prime_sum(2_000_000) 142913828922 >>> prime_sum(1_000) 76127 >>> prime_sum(5_000) 1548136 >>> prime_sum(10_000) 5736396 >>> prime_sum(7) 10 >>> prime_sum(7.1) # doctest: +ELLIPSIS Traceback (most recent call last): ... TypeError: 'float' object cannot be interpreted as an integer >>> prime_sum(-7) # doctest: +ELLIPSIS Traceback (most recent call last): ... IndexError: list assignment index out of range >>> prime_sum("seven") # doctest: +ELLIPSIS Traceback (most recent call last): ... TypeError: can only concatenate str (not "int") to str """ list_ = [0 for i in range(n + 1)] list_[0] = 1 list_[1] = 1 for i in range(2, int(n ** 0.5) + 1): if list_[i] == 0: for j in range(i * i, n + 1, i): list_[j] = 1 s = 0 for i in range(n): if list_[i] == 0: s += i return s if __name__ == "__main__": # import doctest # doctest.testmod() print(prime_sum(int(input().strip())))