A057481 Numbers n such that x^n + x^11 + 1 is irreducible over GF(2).

2, 9, 15, 17, 18, 36, 60, 63, 84, 95, 98, 135, 156, 170, 186, 218, 540, 641, 660, 879, 1388, 1820, 1866, 1943, 2055, 2388, 3423, 3983, 6090, 6713, 9900, 14610, 18330, 18855, 22346, 26180, 32855, 36410, 43911, 44465, 82652, 88764, 131250, 154644, 231420

Offset: 1

Author

Robert G. Wilson v, Sep 27 2000

Keywords

• nonn

Comments

Any subsequent terms are > 300000.

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^11 + 1)); \\ Jinyuan Wang, Apr 15 2020

Extensions

a(20)-a(28) from Jinyuan Wang, Apr 15 2020

a(29)-a(45) from Lucas A. Brown, Nov 29 2022