?:Continued Fractions Producing Primes

[Don McDonald]

In message <00cd01c2aafb$26a843b0$707ba8c0 at DH2RC311> you write:
>
I have discovered the very simplest 1-1 mapping Q -> Z+
Rationals onto natural numbers
via continued fractions. [surreals.]

Search google groups: sci.math 10-millionth rational in McDonald scheme.
ca. 2000.  Hati numbers. eis.  2^a.3^b.. ??   combination sequence number.

cheers,  don.mcdonald

don.lotto at paradise.net.nz
24.12.02  21:44


> On Monday, December 23, 2002 8:20 PM, Leroy Quet <qqquet at mindspring.com>
> wrote:
> >
> > How many permutations of {1,2,3,...,m}->{a(1),a(2),a(3),...,a(m)} give
> > continued fractions, [a(1); a(2), a(3),...,a(m)] where both the
> > numerator and denominator of the resulting fraction are both primes?
> >
> > For example: for m=3, I get that there is only one fraction:
> > {3,1,2} ->
> >
> > 3 + 1/(1 +1/2) = 11/3,
> >
> > where 3 and 11 are both primes.

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