sol3 Algorithm

The sol3 Algorithm is a cutting-edge, decentralized algorithm designed to optimize the management of renewable energy resources, such as solar and wind power. It combines artificial intelligence, machine learning, and blockchain technology to create a highly efficient and secure system for managing and distributing clean energy. By analyzing vast amounts of data from multiple sources, the algorithm can predict and optimize energy production and consumption, ultimately reducing waste and increasing the overall efficiency of the renewable energy grid. In addition to optimizing energy use, the sol3 Algorithm also fosters a more democratic and transparent energy market. By leveraging blockchain technology, it enables peer-to-peer energy trading, allowing consumers to buy and sell excess energy directly with each other. This not only empowers individuals and communities to take control of their energy needs but also promotes the growth of renewable energy infrastructure. Furthermore, the sol3 Algorithm's decentralized nature ensures that the system remains secure and resistant to manipulation, providing a reliable and trustworthy platform for the future of renewable energy management.
"""
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())))

LANGUAGE:

DARK MODE: