need second opinion

Jud McCranie jud.mccranie at mindspring.com
Wed May 5 19:48:02 CEST 1999


At 07:21 PM 5/5/99 +0100, vdmcc wrote:
>hi all,
>            (no, not yet you Neil, wait for it ...) (:-))
>
>I'd like your opinion on a few sequences that look so simple that I fear
>goofing.
>So, be harch if need be.
>----------------------------------------------------------------------------
>---
>In a sphere of radius n, at how many different distances from the origin can
>points
>with integer coordinates be found?
>(counting number if "integer shells". Mind you : the distance itself must
>not be integer,
> the shell only must pass thru an integer point)
>---------------------------------------------------------------------

This is similar to counting the number of lattice points inside a circle (or
sphere) which I believe that even the 2-dimensional case hasn't been solved in
general.


+--------------------------------------------------------+
| Jud McCranie               jud.mccranie at mindspring.com |
|                                                        |
| 127*2^96744+1 is prime!  (29,125 digits, Oct 20, 1998) |
+--------------------------------------------------------+






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