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* Rename all Project Euler directories: Reason: The change was done to maintain consistency throughout the directory and to keep all directories in sorted order. Due to the above change, some config files had to be modified: 'problem_22` -> `problem_022` * Update scripts to pad zeroes in PE directories
59 lines
1.1 KiB
Python
59 lines
1.1 KiB
Python
"""
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https://projecteuler.net/problem=10
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Problem Statement:
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The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17.
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Find the sum of all the primes below two million.
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"""
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from math import sqrt
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def is_prime(n: int) -> bool:
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"""Returns boolean representing primality of given number num.
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>>> is_prime(2)
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True
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>>> is_prime(3)
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True
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>>> is_prime(27)
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False
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>>> is_prime(2999)
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True
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"""
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for i in range(2, int(sqrt(n)) + 1):
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if n % i == 0:
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return False
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return True
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def solution(n: int = 2000000) -> int:
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"""Returns the sum of all the primes below n.
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# The code below has been commented due to slow execution affecting Travis.
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# >>> solution(2000000)
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# 142913828922
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>>> solution(1000)
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76127
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>>> solution(5000)
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1548136
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>>> solution(10000)
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5736396
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>>> solution(7)
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10
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"""
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if n > 2:
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sum_of_primes = 2
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else:
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return 0
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for i in range(3, n, 2):
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if is_prime(i):
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sum_of_primes += i
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return sum_of_primes
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if __name__ == "__main__":
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print(solution(int(input().strip())))
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