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Numbers k such that x^k + x^2 + 1 is a primitive irreducible polynomial over GF(2).
2

%I #19 Jul 16 2021 19:57:17

%S 1,3,5,11,21,29,35,93,123,333,845

%N Numbers k such that x^k + x^2 + 1 is a primitive irreducible polynomial over GF(2).

%C Agrees with A057460 as far as it goes, but is a different sequence.

%C The next candidate is 4125.

%H I. F. Blake, S. Gao and R. J. Lambert, <a href="http://dx.doi.org/10.1007/3-540-57936-2_27">Constructive problems for irreducible polynomials over finite fields</a>, in Information Theory and Applications, LNCS 793, Springer-Verlag, Berlin, 1994, 1-23, See Table 2.

%H <a href="/index/Tri#trinomial">Index entries for sequences related to trinomials over GF(2)</a>

%Y Cf. A002475.

%K nonn,nice,more

%O 1,2

%A _Richard P. Brent_, Sep 05 2002