Created
December 7, 2014 23:47
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infinite sequence of primes generator in Python (unbounded Sieve of Eratosthenes)
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def primes(): | |
prime_multiple_factors = {} | |
def add_factor(composite, factor): | |
if composite not in prime_multiple_factors: | |
prime_multiple_factors[composite] = set([factor]) | |
else: | |
prime_multiple_factors[composite].add(factor) | |
x = 2 | |
while True: | |
if x in prime_multiple_factors: | |
for factor in prime_multiple_factors[x]: | |
add_factor(x + factor, factor) | |
del prime_multiple_factors[x] | |
else: | |
add_factor(x * 2, x) | |
yield x | |
x += 1 |
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