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Re: Ruler, compass and prime power

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  • djbroadhurst
    ... I try to avoid setting puzzles that take several CPU-hours, if the solver will use appropriate free-ware. In this case msieve fits the bill: $ tail -3
    Message 1 of 33 , Nov 1, 2011
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      --- In primenumbers@yahoogroups.com,
      "mikeoakes2" <mikeoakes2@...> wrote:

      > After about 5 hours pari-GP has told me this:-
      > *** factor: Warning: MPQS: factoring this number will take several hours

      I try to avoid setting puzzles that take several CPU-hours,
      if the solver will use appropriate free-ware.

      In this case msieve fits the bill:

      $ tail -3 msieve.out
      Tue Nov 1 10:28:27 2011 prp44 factor: 44643300072722108400698902752086877193190113
      Tue Nov 1 10:28:27 2011 prp45 factor: 728945576086893794974061219407402693792528577
      Tue Nov 1 10:28:27 2011 elapsed time 00:43:03

      David
    • Ben Buhrow
      ... I saw that, thanks David! Since this is a list dedicated to primes, I ll also just mention briefly that yafu has one of the fastest sieve of Eratosthenes
      Message 33 of 33 , Nov 8, 2011
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        --- In primenumbers@yahoogroups.com, David Cleaver <wraithx@...> wrote:
        >
        >

        >
        > Ben, I've been trying to tell them how awesome Yafu is! You can see my message
        > here:
        > http://tech.groups.yahoo.com/group/primenumbers/message/23598
        >
        > If anyone needs any factoring utilities, yafu should be first on the list. Then
        > some combination of yafu/msieve/ggnfs to factor larger numbers. I tried to
        > spell it all out in the above post. Hopefully I didn't misrepresent any info
        > about yafu. Please correct me if I was wrong. If anyone has any questions,
        > feel free to ask on this list.
        >
        > -David C.
        >
        > P.S. For full disclosure, I helped contribute a small amount of code to yafu. :)
        >

        I saw that, thanks David!

        Since this is a list dedicated to primes, I'll also just mention briefly that yafu has one of the fastest sieve of Eratosthenes implementations I'm aware of, for generating lists of primes in arbitrary ranges up to 10^19. Maybe that is useful to folks here too.

        cheers,
        - ben.
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