Gregor Lingl wrote:

The following variation of your sieve, using extended slice assignment seems to be sgnificantly faster. Try it out, if you like.


Here are the numbers: Primes 1 - 1,000,000 timing: extendedSliceSieve: 0.708388 seconds listPrimes: 0.998758 seconds karlSieve: 1.703553 seconds primeConciseOptimized: 5.133922 seconds setSieve: 7.564576 seconds primeConcise: 1644.683214 seconds --> 27 minutes 24 seconds

if __name__ == '__main__':
    # setup timers as a list of tuples (name, timeit instance)

    results = []
    longest = 0
    for t in timers:
        result = t[1].timeit(1)
        longest = max(longest, len(t[0]))
        results.append((t[0], result))

    results.sort(lambda x, y: cmp(x[1], y[1]))

    print "Primes 1 - 1,000,000 timing:"

    format_str = "%%%ds: %%f seconds" % longest
    for i in results:
        print format_str % i
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