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

9, 15, 39, 105, 119, 153, 177, 209, 3143, 13169, 19833, 33567, 53129, 64439, 88871, 109865, 122945, 138543

Offset: 1

Author

Robert G. Wilson v, Sep 27 2000

Keywords

• nonn
• more

Comments

Any subsequent terms are > 300000. - Lucas A. Brown, Nov 28 2022

Links

• Lucas A. Brown, Python program.
• Lucas A. Brown, Sage program.

Crossrefs

Cf. A002475.

Programs

PARI

is(k) = polisirreducible(Mod(1, 2)*(x^k + x^8 + 1)); \\ Jinyuan Wang, Apr 15 2020

Extensions

a(9) from Jinyuan Wang, Apr 15 2020

a(10)-a(18) from Lucas A. Brown, Nov 28 2022