- 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

> -----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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> - 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-----

Unsubscribe by an email to: primenumbers-unsubscribe@yahoogroups.com

> 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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