mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-28 07:21:07 +00:00
98e9d6bdb6
* Fix style of the first ten solutions for Project Euler - Unify the header docstring, and add reference URLs to wikipedia or similar - Fix docstrings to be properly multilined - Add newlines where appropriate - Add doctests where they were missing - Remove doctests that test for the correct solution - fix obvious spelling or grammar mistakes in comments and exception messages - Fix line endings to be UNIX. This makes two of the files seem to have changed completely - no functional changes in any of the solutions were done (except for the spelling fixes mentioned above) * Fix docstrings and main function as per Style Guide
68 lines
1.2 KiB
Python
68 lines
1.2 KiB
Python
"""
|
|
Project Euler Problem 10: https://projecteuler.net/problem=10
|
|
|
|
Summation of primes
|
|
|
|
The sum of the primes below 10 is 2 + 3 + 5 + 7 = 17.
|
|
|
|
Find the sum of all the primes below two million.
|
|
|
|
References:
|
|
- https://en.wikipedia.org/wiki/Prime_number
|
|
"""
|
|
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]:
|
|
"""
|
|
Generate a list sequence of prime numbers
|
|
"""
|
|
|
|
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.
|
|
|
|
>>> 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(f"{solution() = }")
|