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

1,1

Comments

Any subsequent terms are > 300000.

Links

Table of n, a(n) for n=1..45.

Lucas A. Brown, Python program.

Lucas A. Brown, Sage program.

Prog

(PARI) is(k) = polisirreducible(Mod(1, 2)*(x^k + x^11 + 1)); \\ Jinyuan Wang, Apr 15 2020

Crossrefs

Cf. A002475.

Sequence in context: A178849 A217367 A076208 * A359775 A353317 A083288

Adjacent sequences: A057478 A057479 A057480 * A057482 A057483 A057484

Keyword

nonn

Author

Robert G. Wilson v, Sep 27 2000

Extensions

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

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

Status

approved