mirror of
https://github.com/TheAlgorithms/Python.git
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4d0a8f2355
* optimized recursive_bubble_sort
* Fixed doctest error due whitespace
* reduce loop times for optimization
* fixup! Format Python code with psf/black push
Co-authored-by: github-actions <${GITHUB_ACTOR}@users.noreply.github.com>
59 lines
1.5 KiB
Python
59 lines
1.5 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 using Sieve_of_Eratosthenes:
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The sieve of Eratosthenes is one of the most efficient ways to find all primes
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smaller than n when n is smaller than 10 million. Only for positive numbers.
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"""
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def prime_sum(n: int) -> int:
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"""Returns the sum of all the primes below n.
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>>> prime_sum(2_000_000)
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142913828922
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>>> prime_sum(1_000)
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76127
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>>> prime_sum(5_000)
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1548136
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>>> prime_sum(10_000)
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5736396
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>>> prime_sum(7)
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10
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>>> prime_sum(7.1) # doctest: +ELLIPSIS
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Traceback (most recent call last):
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...
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TypeError: 'float' object cannot be interpreted as an integer
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>>> prime_sum(-7) # doctest: +ELLIPSIS
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Traceback (most recent call last):
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...
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IndexError: list assignment index out of range
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>>> prime_sum("seven") # doctest: +ELLIPSIS
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Traceback (most recent call last):
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...
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TypeError: can only concatenate str (not "int") to str
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"""
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list_ = [0 for i in range(n + 1)]
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list_[0] = 1
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list_[1] = 1
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for i in range(2, int(n ** 0.5) + 1):
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if list_[i] == 0:
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for j in range(i * i, n + 1, i):
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list_[j] = 1
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s = 0
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for i in range(n):
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if list_[i] == 0:
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s += i
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return s
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if __name__ == "__main__":
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# import doctest
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# doctest.testmod()
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print(prime_sum(int(input().strip())))
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