Reference library

Comprehensions & generators

List/dict/set comprehensions, generator expressions, and lazy iteration.

2 matches
Comprehensions & generators medium

How to Generate Primes with a Generator in Python

Generate prime numbers up to a limit using the Sieve of Eratosthenes wrapped in a generator expression for lazy evaluation.

generators sieve primes
Python
def prime_generator(limit):
    sieve = [True] * (limit + 1)
    sieve[0] = sieve[1] = False

    for i in range(2, int(limit ** 0.5) + 1):
        if sieve[i]:
            for j in range(i * i, limit + 1, i):
                sieve[j] = False

    return (num for num, is_prime in enumerate(sieve) if is_prime)


if __n…
15 0 Open
Comprehensions & generators easy

How to Generate a Collatz Sequence in Python

Generate the Collatz sequence for a given positive integer by repeatedly applying the 3n+1 rule until reaching 1.

collatz sequence loops
Python
def collatz_sequence(n):
    if n <= 0:
        raise ValueError("n must be a positive integer")
    sequence = [n]
    while n != 1:
        if n % 2 == 0:
            n = n // 2
        else:
            n = 3 * n + 1
        sequence.append(n)
    return sequence

if __name__ == "__main__":
    start = 7
    result…
14 0 Open

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Comprehensions & generators — Python code examples

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