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The infinite sequence of prime numbers
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The infinite sequence of prime numbers
#1
#!/usr/bin/env python
# SPDX-FileCopyrightText: 2022 Member Gribouillis of www.python-forum.io
#
# SPDX-License-Identifier: MIT

__version__ = '2022.01.28.2'

from heapq import heappush, heappop, heappushpop
import itertools as itt


def primes():
    """Return the infinite sequence of all prime numbers"""
    yield 2
    h = []
    n = 3
    x, i, seq = 4, 2, itt.count(6, 2)
    while True:
        if n < x:
            yield n
            n2 = n ** 2
            heappush(h, (n2, n, itt.count(n2 + n, n)))
        n = x + 1
        x, i, seq = heappushpop(h, (next(seq), i, seq))

if __name__ == '__main__':       
    s = primes()
    # print the first prime numbers
    for i in range(100):
        p = next(s)
        print(p)
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Messages In This Thread
The infinite sequence of prime numbers - by Gribouillis - Jan-28-2022, 10:35 PM

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