A057476 - OEIS

%I #18 Nov 29 2022 01:19:27

%S 1,3,5,7,17,31,71,97,167,175,209,385,2159,5617,8921,33425,39119,76625,

%T 110249,192127,255265

%N Numbers k such that x^k + x^6 + 1 is irreducible over GF(2).

%C a(16) > 30000 if it exists. - _Robert Israel_, Nov 11 2016

%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>.

%p select(n -> Irreduc(x^n+x^6+1) mod 2, [$1..1000]); # _Robert Israel_, Nov 11 2016

%Y Cf. A002475.

%K nonn,more

%O 1,2

%A _Robert G. Wilson v_, Sep 27 2000

%E a(13)-a(15) from _Robert Israel_, Nov 11 2016

%E a(16)-a(21) from _Lucas A. Brown_, Nov 28 2022