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## What's my line?

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• 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
Message 1 of 3 , Apr 6, 2004
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
• Chris: good idea. If you don t mind having more than one line in a plot, I strongly recommend the Ulam spiral. Paul
Message 2 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
> 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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• 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 3 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
> 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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