## Re: [PrimeNumbers] Set of primes with period ((p-1)/2) (etc.)

Expand Messages
• ... So I was not confused in the head, only in the GP session! This URL has been hurled at me by one of the resident lurkers:
Message 1 of 5 , May 15 5:41 AM
--- Jens Kruse Andersen <jens.k.a@...> wrote:
> Phil Carmody wrote:
> > --- julienbenney <jpbenney@...> wrote:
> >> I know well that full period primes the proportion for large n goes to
> >
> > I must be getting confused. I can see empirically that it's ~37%, but
> > I eyeball it to about 25.2% as the product of 1-1/q(q-1) over primes q.
> > (For each small prime q there's a 1/(q-1) chance of that q divides N-1,
> > and then a 1/q chance that 10 is a q-th residue mod N.)
>
> The product of 1-1/(q(q-1)) over primes q is Artin's constant,
> and it is 0.3739558136...

So I was not confused in the head, only in the GP session!
This URL has been hurled at me by one of the resident lurkers:
http://web.usna.navy.mil/~wdj/book/node43.html

Which supports all the extra things I was going to include in my previous post,
but didn't as I wanted to make sure I had started on the right page.

Thanks for catching the ball, Jens.

Phil

() ASCII ribbon campaign () Hopeless ribbon campaign
/\ against HTML mail /\ against gratuitous bloodshed

[stolen with permission from Daniel B. Cristofani]

____________________________________________________________________________________Boardwalk for \$500? In 2007? Ha! Play Monopoly Here and Now (it's updated for today's economy) at Yahoo! Games.
http://get.games.yahoo.com/proddesc?gamekey=monopolyherenow
Your message has been successfully submitted and would be delivered to recipients shortly.