From: Francois Grieu on
On 29/07/2010 02:01, Gerry Myerson wrote:
> In article <4c4ff8da$0$5268$426a74cc(a)news.free.fr>,
> Francois Grieu <fgrieu(a)gmail.com> wrote:
>
>> Has this assertion been proved?
>>
>> For any n>4 there exists a primitive polynomial of
>> degree n, with coefficients in Z2, having exactly
>> 5 non-zero terms.
>
> I think this is still open. It was stated by Solomon Golomb
> as a conjecture in his paper, Periodic binary sequences:
> solved and unsolved problems, in 2007.
>
>> For a few examples:
>> <http://www.research.att.com/~njas/sequences/A132451>
>
> For a few more examples (everything up to n = 400, in fact),
> http://www.jjj.de/mathdata/pentanomial-primpoly.txt

Thanks for the spot-on answer :

Francois Grieu