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

1,1

Comments

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

Links

Table of n, a(n) for n=1..18.

Lucas A. Brown, Python program.

Lucas A. Brown, Sage program.

Prog

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

Crossrefs

Cf. A002475.

Sequence in context: A307217 A373333 A100556 * A128687 A193579 A274757

Adjacent sequences: A057475 A057476 A057477 * A057479 A057480 A057481

Keyword

nonn,more

Author

Robert G. Wilson v, Sep 27 2000

Extensions

a(9) from Jinyuan Wang, Apr 15 2020

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

Status

approved