From: Francois Grieu on 29 Jul 2010 02:45 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
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