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Re: Ruler, compass and prime power

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  • mikeoakes2
    Here is Exercise 3: Consider a triangle with AB = 73101071671289523538653859196886988013103939433655 70672459508445455974035360492595790567776658383665
    Message 1 of 33 , Nov 1, 2011
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      Here is
      Exercise 3: Consider a triangle with
      AB =
      73101071671289523538653859196886988013103939433655\
      70672459508445455974035360492595790567776658383665\
      61894275424831068187064655473410608436544959624847\
      86851055025746932753302512190502832910576284432396\
      77069081761033007397991847825222563334906812368316\
      98971742196880539123085948689201104352982880332902\
      946902184018919785545380956416
      BC =
      43338757552919245553882386423601066153210393129188\
      62213957573028853508588373412271565039896052516948\
      79941718041504167172242007299067110606526842018313\
      39162192019959469664116026200434289573358361068982\
      48819986106361706384638033826589773814865886514587\
      92061365235438910698173537532507931147918087935364\
      488703166039555278113733345281
      and ABC a right angle. Explain how to 137-sect the angle
      CAB using only ruler and compass.

      Hint: the construction involves 10 operations with your compass and 1 with your ruler.

      Mike
    • 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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