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Product features · Bounded prime sieves
01
List all primes up to an inclusive integer limit using a sieve capped at 1000000.
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Bounded prime sieves
● ● ●SieveFern●
A concrete starting point · Bounded prime sieves ×
from math import isqrt
def primes_through(limit):
if type(limit) is not int or not 0 <= limit <= 1000000:
raise ValueError("limit.range")
sieve = bytearray([1]) * (limit + 1)
sieve[0] = 0
if limit >= 1:
sieve[1] = 0
for p in range(2, isqrt(limit) + 1):
if sieve[p]:
for multiple in range(p * p, limit + 1, p):
sieve[multiple] = 0
return [i for i, prime in enumerate(sieve) if prime]✳List all primes up to an inclusive integer limit using a sieve capped at 1000000.
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