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Copy pathsolution to euler project problem 10.py
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solution to euler project problem 10.py
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##author-slayking1965
# """
# 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.
# Find the sum of all the primes below two million.
# """
# def prime_sum(n: int) -> int:
# """Returns the sum of all the primes below n.
# def solution(n: int = 2000000) -> int:
# """Returns the sum of all the primes below n using Sieve of Eratosthenes:
# https://en.wikipedia.org/wiki/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.
# >>> prime_sum(2_000_000)
# >>> solution(2_000_000)
# 142913828922
# >>> prime_sum(1_000)
# >>> solution(1_000)
# 76127
# >>> prime_sum(5_000)
# >>> solution(5_000)
# 1548136
# >>> prime_sum(10_000)
# >>> solution(10_000)
# 5736396
# >>> prime_sum(7)
# >>> solution(7)
# 10
# >>> prime_sum(7.1) # doctest: +ELLIPSIS
# >>> solution(7.1) # doctest: +ELLIPSIS
# Traceback (most recent call last):
# ...
# TypeError: 'float' object cannot be interpreted as an integer
# >>> prime_sum(-7) # doctest: +ELLIPSIS
# >>> solution(-7) # doctest: +ELLIPSIS
# Traceback (most recent call last):
# ...
# IndexError: list assignment index out of range
# >>> prime_sum("seven") # doctest: +ELLIPSIS
# >>> solution("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
# primality_list = [0 for i in range(n + 1)]
# primality_list[0] = 1
# primality_list[1] = 1
# for i in range(2, int(n ** 0.5) + 1):
# if list_[i] == 0:
# if primality_list[i] == 0:
# for j in range(i * i, n + 1, i):
# list_[j] = 1
# s = 0
# primality_list[j] = 1
# sum_of_primes = 0
# for i in range(n):
# if list_[i] == 0:
# s += i
# return s
# if primality_list[i] == 0:
# sum_of_primes += i
# return sum_of_primes
# if __name__ == "__main__":
# # import doctest
# # doctest.testmod()
# print(prime_sum(int(input().strip())))
# print(solution(int(input().strip())))