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RE: [PrimeNumbers] What's my line?

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  • Paul Leyland
    Chris: good idea. If you don t mind having more than one line in a plot, I strongly recommend the Ulam spiral. Paul
    Message 1 of 3 , Apr 8, 2004
      Chris: good idea.

      If you don't mind having more than one line in a plot, I strongly recommend the Ulam spiral.


      Paul

      > -----Original Message-----
      > From: Chris Caldwell [mailto:caldwell@...]
      > Sent: 06 April 2004 20:26
      > To: primenumbers@yahoogroups.com
      > Subject: [PrimeNumbers] What's my line?
      >
      > Question one:
      >
      > For some odd reason I decided to put together a talk on prime
      > numbers and
      > lines, and use that to give a rough history of prime numbers.
      > I thought I start
      > with Euclid's proof of the infinitude of primes; then we can
      > graph the
      > log of p# (p primorial) and notice it is a line (the pnt);
      > Dirichlet's theorem
      > is a statement about prime on lines. The log of the digits
      > in the largest
      > known prime by year is basically linear. Riemann's
      > hypothesis is that
      > the non-trivial zeros lie on a line. log(Mersenne primes exponent) is
      > basically a line. Any other ideas for good lines in the primes?
      >
      >
      > Question two (off subject):
      >
      > Some years ago I read a great article debunking many of the common
      > beliefs about the golden rectangle. It had a picture showing the
      > Parthenon is not based on the golden ratio. It had a set of
      > rectangles the author
      > had shown folks to have them vote on the best looking (the golden
      > rectangle did not win). It had a picture (I think) of a hand
      > placed on a golden rectangle. Anyone have any idea what I
      > may be recalling?
      >
      >
      > Chris Caldwell
      >
      >
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    • Sren Nielsen
      Well, then read my primespiral.pdf first. It is in files. Paul Leyland wrote:Chris: good idea. If you don t mind having more than one
      Message 2 of 3 , Apr 9, 2004
        Well, then read my primespiral.pdf first. It is in files.

        Paul Leyland <pleyland@...> wrote:Chris: good idea.

        If you don't mind having more than one line in a plot, I strongly recommend the Ulam spiral.


        Paul

        > -----Original Message-----
        > From: Chris Caldwell [mailto:caldwell@...]
        > Sent: 06 April 2004 20:26
        > To: primenumbers@yahoogroups.com
        > Subject: [PrimeNumbers] What's my line?
        >
        > Question one:
        >
        > For some odd reason I decided to put together a talk on prime
        > numbers and
        > lines, and use that to give a rough history of prime numbers.
        > I thought I start
        > with Euclid's proof of the infinitude of primes; then we can
        > graph the
        > log of p# (p primorial) and notice it is a line (the pnt);
        > Dirichlet's theorem
        > is a statement about prime on lines. The log of the digits
        > in the largest
        > known prime by year is basically linear. Riemann's
        > hypothesis is that
        > the non-trivial zeros lie on a line. log(Mersenne primes exponent) is
        > basically a line. Any other ideas for good lines in the primes?
        >
        >
        > Question two (off subject):
        >
        > Some years ago I read a great article debunking many of the common
        > beliefs about the golden rectangle. It had a picture showing the
        > Parthenon is not based on the golden ratio. It had a set of
        > rectangles the author
        > had shown folks to have them vote on the best looking (the golden
        > rectangle did not win). It had a picture (I think) of a hand
        > placed on a golden rectangle. Anyone have any idea what I
        > may be recalling?
        >
        >
        > Chris Caldwell
        >
        >
        > ------------------------ Yahoo! Groups Sponsor
        > ---------------------~-->
        > Buy Ink Cartridges or Refill Kits for your HP, Epson, Canon or Lexmark
        > Printer at MyInks.com. Free s/h on orders $50 or more to the
        > US & Canada.
        > http://www.c1tracking.com/l.asp?cid=5511
        > http://us.click.yahoo.com/mOAaAA/3exGAA/qnsNAA/8HYolB/TM
        > --------------------------------------------------------------
        > -------~->
        >
        > Unsubscribe by an email to: primenumbers-unsubscribe@yahoogroups.com
        > The Prime Pages : http://www.primepages.org/
        >
        >
        > Yahoo! Groups Links
        >
        >
        >
        >
        >
        >


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