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A057478 Numbers k such that x^k + x^8 + 1 is irreducible over GF(2). 2

%I #15 Nov 29 2022 01:19:42

%S 9,15,39,105,119,153,177,209,3143,13169,19833,33567,53129,64439,88871,

%T 109865,122945,138543

%N Numbers k such that x^k + x^8 + 1 is irreducible over GF(2).

%C Any subsequent terms are > 300000. - _Lucas A. Brown_, Nov 28 2022

%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^8 + 1)); \\ _Jinyuan Wang_, Apr 15 2020

%Y Cf. A002475.

%K nonn,more

%O 1,1

%A _Robert G. Wilson v_, Sep 27 2000

%E a(9) from _Jinyuan Wang_, Apr 15 2020

%E a(10)-a(18) from _Lucas A. Brown_, Nov 28 2022

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Last modified May 10 02:33 EDT 2024. Contains 372354 sequences. (Running on oeis4.)