2010-12-27 15:28:59 +01:00
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#!/usr/bin/python
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2015-10-31 02:02:58 +01:00
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2010-12-27 15:28:59 +01:00
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def get_primes7(n):
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2022-09-27 22:16:48 +02:00
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"""
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standard optimized sieve algorithm to get a list of prime numbers
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--- this is the function to compare your functions against! ---
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"""
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if n < 2: return []
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if n == 2: return [2]
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# do only odd numbers starting at 3
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s = list(range(3, n+1, 2))
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# n**0.5 simpler than math.sqr(n)
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mroot = n ** 0.5
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half = len(s)
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i = 0
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m = 3
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while m <= mroot:
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if s[i]:
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j = (m*m-3)//2 # int div
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s[j] = 0
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while j < half:
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s[j] = 0
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j += m
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i = i+1
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m = 2*i+3
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return [2]+[x for x in s if x]
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2015-10-31 02:02:58 +01:00
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for t in range(5):
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2022-09-27 22:16:48 +02:00
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res = get_primes7(10000000)
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print(len(res))
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