I ran a few of the tests myself on my Mac Mini G4 with 512 Mb ram. I compiled the programs with ghc 6.6. I got different results however. 10^3 10^4 10^5 Reinke 0.7251 1.751 1m0.310s Runciman 0.126 1.097 5m19.569s Zilibowitz 0.07 4.668 11m45.877s NaiveSeive 0.369 47.795 - The NaiveSeive program ran somewhat slower on my machine than it seemed to on yours. Also the Reinke program seemed to be faster than Runciman on my machine. It may be to do with not having enough ram. But I'm not too sure. Can you suggest any explanation for the different results? Ruben On 23/02/2007, at 4:46 PM, Melissa O'Neill wrote:
Ruben Zilibowitz wrote:
I see that there has been some discussion on the list about prime finding algorithms recently. I just wanted to contribute my own humble algorithm:
Thanks!
Comparing it to some of the algorithms in: http://www.haskell.org/pipermail/haskell-cafe/2007-February/ 022765.html
It seems to perform reasonably well. It also has the advantage of being quite short.
I've added it to my table. It's fun to find new ways to figure out primes, but I think the "shortness advantage" goes to the naive primes algorithm, which is faster and shorter.
Melissa.
------------------------------------------------------------------ Time (in seconds) for Number of Primes ---------------------------------------------------- Algorithm 10^3 10^4 10^5 10^6 10^7 10^8 ------------------------------------------------------------------ C-Sieve 0.00 0.00 0.01 0.29 5.12 88.24 O'Neill (#2) 0.01 0.09 1.45 22.41 393.28 - O'Neill (#1) 0.01 0.14 2.93 47.08 - - Bromage 0.02 0.39 6.50 142.85 - - "sieve" (#3) 0.01 0.25 7.28 213.19 - - Naive 0.32 0.66 16.04 419.22 - - Runciman 0.02 0.74 29.25 - - - Reinke 0.04 1.21 41.00 - - - Zilibowitz 0.02 2.50 368.33 - - - Gale (#1) 0.12 17.99 - - - - "sieve" (#1) 0.16 32.59 - - - - "sieve" (#2) 0.01 32.76 - - - - Gale (#2) 1.36 268.65 - - - - ------------------------------------------------------------------
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