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Numbers n such that x^n + x^11 + 1 is irreducible over GF(2).
1

%I #12 Nov 29 2022 04:44:39

%S 2,9,15,17,18,36,60,63,84,95,98,135,156,170,186,218,540,641,660,879,

%T 1388,1820,1866,1943,2055,2388,3423,3983,6090,6713,9900,14610,18330,

%U 18855,22346,26180,32855,36410,43911,44465,82652,88764,131250,154644,231420

%N Numbers n such that x^n + x^11 + 1 is irreducible over GF(2).

%C Any subsequent terms are > 300000.

%H Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/irred_trinom_f2.py">Python program</a>.

%H Lucas A. Brown, <a href="https://github.com/lucasaugustus/oeis/blob/main/irred_trinom_f2.sage">Sage program</a>.

%o (PARI) is(k) = polisirreducible(Mod(1, 2)*(x^k + x^11 + 1)); \\ _Jinyuan Wang_, Apr 15 2020

%Y Cf. A002475.

%K nonn

%O 1,1

%A _Robert G. Wilson v_, Sep 27 2000

%E a(20)-a(28) from _Jinyuan Wang_, Apr 15 2020

%E a(29)-a(45) from _Lucas A. Brown_, Nov 29 2022