I
didn't
mean to draw any conclusions from that. It was just and interesting
observation. Why do multiples of six mean anything. I don't know. Maybe
they don't and the pattern will disappear with more primes. But it's
curious.
On Mar 14, 2016 6:06 PM, "Roger Hui" <rogerhui.can...@gmail.com> wrote:
> You can not draw profound conclusions from a short initial segment of the
> primes. See for example Studio|Demos|Plot|Gallery|Prime Race. The plot is
> for primerace i.n where primerace=: [: +/\ _2 + 4 | p: , the number of
> primes that are 3 mod 4 minus the number of primes that are 1 mod 4. I
> believe there's a proof that the x-axis is crossed infinitely often, but
> you can't tell that by looking at the graph even for large n.
>
>
> On Mon, Mar 14, 2016 at 4:24 PM, Don Guinn <dongu...@gmail.com> wrote:
>
> > And here is the grouping for last digits. Looks like 0 difference is
> about
> > even with a difference of 8 and loses out to 2 4 and 6.
> >
> > /:~(~.d),.#/.~d=.10|2-~/\p:i.10000000
> > 0 1737431
> > 1 1
> > 2 2333292
> > 4 1994255
> > 6 2221597
> > 8 1713423
> >
> > But looking at the first list (in the previous post) there is a spike in
> > the count for multiples of 6 difference. Weird!
> >
> > On Mon, Mar 14, 2016 at 5:05 PM, Don Guinn <dongu...@gmail.com> wrote:
> >
> > > Just played with the various spacing of primes and saw something a
> little
> > > odd. The number of primes differing by 6 are much larger than any other
> > > difference. (I know, the code is not efficient, but it is fast enough
> to
> > > play with.)
> > >
> > > 20{./:~(~.d),.#/.~d=.2-~/\p:i.10000000
> > > 1 1
> > > 2 738597
> > > 4 738717
> > > 6 1297540
> > > 8 566151
> > > 10 729808
> > > 12 920661
> > > 14 503524
> > > 16 371677
> > > 18 667734
> > > 20 354267
> > > 22 307230
> > > 24 453215
> > > 26 211203
> > > 28 229177
> > > 30 398713
> > > 32 123123
> > > 34 129043
> > > 36 206722
> > > 38 94682
> > >
> > >
> > > On Mon, Mar 14, 2016 at 10:03 AM, R.E. Boss <r.e.b...@outlook.com>
> > wrote:
> > >
> > >>
> > >>
> >
> https://www.quantamagazine.org/20160313-mathematicians-discover-prime-conspiracy/
> > >>
> > >>
> > >> R.E. Boss
> > >> ----------------------------------------------------------------------
> > >> For information about J forums see
> http://www.jsoftware.com/forums.htm
> > >
> > >
> > >
> > ----------------------------------------------------------------------
> > For information about J forums see http://www.jsoftware.com/forums.htm
> >
> ----------------------------------------------------------------------
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