A057482 - OEIS

%I #12 Nov 29 2022 04:44:45

%S 3,5,7,9,17,49,97,257,425,895,1385,4807,11303,25175,103943,104975,

%T 161993,282455

%N Numbers n such that x^n + x^12 + 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^12 + 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(10)-a(11) from _Jinyuan Wang_, Apr 15 2020

%E a(12)-a(18) from _Lucas A. Brown_, Nov 29 2022