A057480 Numbers k such that x^k + x^10 + 1 is irreducible over GF(2).

3, 7, 33, 111, 279, 511, 1047, 1239, 8119, 15727, 16153, 22617, 38407

Offset

1,1

Comments

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

Links

Table of n, a(n) for n=1..13.

Lucas A. Brown, Python program.

Lucas A. Brown, Sage program.

Prog

(PARI) is(k) = polisirreducible(Mod(1, 2)*(x^k + x^10 + 1)); \\ Jinyuan Wang, Apr 15 2020

Crossrefs

Cf. A002475.

Sequence in context: A007646 A238314 A120566 * A051256 A057795 A054935

Adjacent sequences: A057477 A057478 A057479 * A057481 A057482 A057483

Keyword

nonn,more

Author

Robert G. Wilson v, Sep 27 2000

Extensions

a(7)-a(8) from Jinyuan Wang, Apr 15 2020

a(9)-a(13) from Lucas A. Brown, Nov 28 2022

Status

approved