A051252 - Prime Circles - Summary and Update

[John Conway]

On Mon, 24 Jun 2002, T. D. Noe wrote:

> >As Mike Hennebry pointed out, if 2m+1 and 2m+3 are both prime, then we
> >can definitely find a hamilton cycle in G(2m). For example, this is the
> >case with G(10) where 11 and 13 are both prime. We find the Hamilton
> >cycle as follows:

   I find it very hard indeed to believe that this has actually
been proved.  What is the proof?    John Conway