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

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^10 + 1)); \\ Jinyuan Wang, Apr 15 2020

Extensions

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

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